%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL874^1 : TPTP v9.3.1. Bugfixed v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:05 AM UTC 2026 % Result : Theorem 151.11s 151.88s % Output : Proof 151.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL874^1 : TPTP v9.3.1. Bugfixed v5.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n019.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 23:15:23 UTC 2026 % 0.14/0.36 % CPUTime : % 0.14/0.44 %----Proving TH0 % 151.11/151.88 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.11/151.88 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 151.11/151.88 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 151.11/151.88 --- Run --ho-elim --full-saturate-quant at 18s... % 151.11/151.88 % SZS status Theorem % 151.11/151.88 % SZS output start Proof % 151.11/151.88 ( % 151.11/151.88 (declare-sort $$unsorted 0) % 151.11/151.88 (declare-sort tptp.mu 0) % 151.11/151.88 (declare-const tptp.rb (-> $$unsorted $$unsorted Bool)) % 151.11/151.88 (declare-const tptp.rk (-> $$unsorted $$unsorted Bool)) % 151.11/151.88 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 151.11/151.88 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 151.11/151.88 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 151.11/151.88 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 151.11/151.88 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 151.11/151.88 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 151.11/151.88 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 151.11/151.88 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 151.11/151.88 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 151.11/151.88 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 151.11/151.88 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 151.11/151.88 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 151.11/151.88 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 151.11/151.88 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 151.11/151.88 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 151.11/151.88 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 151.11/151.88 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 151.11/151.88 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 151.11/151.88 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 151.11/151.88 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 151.11/151.88 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 151.11/151.88 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 151.11/151.89 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 151.11/151.89 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 151.11/151.89 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 151.11/151.89 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 151.11/151.89 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 151.11/151.89 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 151.11/151.89 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 151.11/151.89 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 151.11/151.89 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 151.11/151.89 (define @t1 () (@var "__flatten_var_0" $$unsorted)) % 151.11/151.89 (define @t2 () (@var "A" (-> $$unsorted Bool))) % 151.11/151.89 (define @t3 () (_ tptp.mbox tptp.rb)) % 151.11/151.89 (define @t4 () (_ @t3 @t2)) % 151.11/151.89 (define @t5 () (_ (_ tptp.mbox tptp.rk) @t2)) % 151.11/151.89 (define @t6 () (@list @t2 @t1)) % 151.11/151.89 (define @t7 () (lambda @t6 (_ (_ (_ tptp.mimplies @t5) @t4) @t1))) % 151.11/151.89 (define @t8 () (_ tptp.mimplies @t4)) % 151.11/151.89 (define @t9 () (lambda @t6 (_ (_ @t8 (_ @t3 @t5)) @t1))) % 151.11/151.89 (define @t10 () (lambda @t6 (_ (_ @t8 @t5) @t1))) % 151.11/151.89 (define @t11 () (not (_ tptp.mvalid (_ tptp.mforall_prop @t10)))) % 151.11/151.89 (define @t12 () (@var "Y" tptp.mu)) % 151.11/151.89 (define @t13 () (@var "X" tptp.mu)) % 151.11/151.89 (define @t14 () (@var "W" $$unsorted)) % 151.11/151.89 (define @t15 () (lambda (@list @t13 @t12 @t14) (= @t13 @t12))) % 151.11/151.89 (define @t16 () (@var "Y" (-> $$unsorted Bool))) % 151.11/151.89 (define @t17 () (@var "X" (-> $$unsorted Bool))) % 151.11/151.89 (define @t18 () (lambda (@list @t17 @t16 @t14) (= (_ @t17 @t14) (_ @t16 @t14)))) % 151.11/151.89 (define @t19 () (@var "Phi" (-> $$unsorted Bool))) % 151.11/151.89 (define @t20 () (_ @t19 @t14)) % 151.11/151.89 (define @t21 () (not @t20)) % 151.11/151.89 (define @t22 () (@list @t19 @t14)) % 151.11/151.89 (define @t23 () (lambda @t22 @t21)) % 151.11/151.89 (define @t24 () (@var "Psi" (-> $$unsorted Bool))) % 151.11/151.89 (define @t25 () (_ @t24 @t14)) % 151.11/151.89 (define @t26 () (lambda (@list @t19 @t24 @t14) (or @t20 @t25))) % 151.11/151.89 (define @t27 () (_ tptp.mnot @t24)) % 151.11/151.89 (define @t28 () (_ tptp.mnot @t19)) % 151.11/151.89 (define @t29 () (_ tptp.mor @t28)) % 151.11/151.89 (define @t30 () (@list @t19 @t24 @t1)) % 151.11/151.89 (define @t31 () (lambda @t30 (_ (_ tptp.mnot (_ @t29 @t27)) @t1))) % 151.11/151.89 (define @t32 () (lambda @t30 (_ (_ @t29 @t24) @t1))) % 151.11/151.89 (define @t33 () (lambda @t30 (_ (_ (_ tptp.mor @t27) @t19) @t1))) % 151.11/151.89 (define @t34 () (lambda @t30 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t19) @t24)) (_ (_ tptp.mimplies @t24) @t19)) @t1))) % 151.11/151.89 (define @t35 () (lambda @t30 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t19) @t24)) @t1))) % 151.11/151.89 (define @t36 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 151.11/151.89 (define @t37 () (_ @t36 @t13)) % 151.11/151.89 (define @t38 () (lambda (@list @t36 @t14) (forall (@list @t13) (_ @t37 @t14)))) % 151.11/151.89 (define @t39 () (@var "P" (-> $$unsorted Bool))) % 151.11/151.89 (define @t40 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 151.11/151.89 (define @t41 () (_ @t40 @t39)) % 151.11/151.89 (define @t42 () (_ @t41 @t14)) % 151.11/151.89 (define @t43 () (@list @t39)) % 151.11/151.89 (define @t44 () (forall @t43 @t42)) % 151.11/151.89 (define @t45 () (@list @t40 @t14)) % 151.11/151.89 (define @t46 () (lambda @t45 @t44)) % 151.11/151.89 (define @t47 () (lambda (@list @t36 @t1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t13 @t1) (_ (_ tptp.mnot @t37) @t1)))) @t1))) % 151.11/151.89 (define @t48 () (lambda (@list @t40 @t1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t39 @t1) (_ (_ tptp.mnot @t41) @t1)))) @t1))) % 151.11/151.89 (define @t49 () (@list @t14)) % 151.11/151.89 (define @t50 () (lambda @t49 true)) % 151.11/151.89 (define @t51 () (@var "V" $$unsorted)) % 151.11/151.89 (define @t52 () (_ @t19 @t51)) % 151.11/151.89 (define @t53 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 151.11/151.89 (define @t54 () (_ (_ @t53 @t14) @t51)) % 151.11/151.89 (define @t55 () (not @t54)) % 151.11/151.89 (define @t56 () (or @t55 @t52)) % 151.11/151.89 (define @t57 () (@list @t51)) % 151.11/151.89 (define @t58 () (forall @t57 @t56)) % 151.11/151.89 (define @t59 () (@list @t53 @t19 @t14)) % 151.11/151.89 (define @t60 () (lambda @t59 @t58)) % 151.11/151.89 (define @t61 () (lambda (@list @t53 @t19 @t1) (_ (_ tptp.mnot (_ (_ tptp.mbox @t53) @t28)) @t1))) % 151.11/151.89 (define @t62 () (@var "S" $$unsorted)) % 151.11/151.89 (define @t63 () (_ @t53 @t62)) % 151.11/151.89 (define @t64 () (_ @t63 @t62)) % 151.11/151.89 (define @t65 () (@list @t62)) % 151.11/151.89 (define @t66 () (forall @t65 @t64)) % 151.11/151.89 (define @t67 () (@list @t53)) % 151.11/151.89 (define @t68 () (lambda @t67 @t66)) % 151.11/151.89 (define @t69 () (@var "T" $$unsorted)) % 151.11/151.89 (define @t70 () (_ @t53 @t69)) % 151.11/151.89 (define @t71 () (_ @t63 @t69)) % 151.11/151.89 (define @t72 () (lambda @t67 (forall (@list @t62 @t69) (=> @t71 (_ @t70 @t62))))) % 151.11/151.89 (define @t73 () (@list @t69)) % 151.11/151.89 (define @t74 () (exists @t73 @t71)) % 151.11/151.89 (define @t75 () (forall @t65 @t74)) % 151.11/151.89 (define @t76 () (lambda @t67 @t75)) % 151.11/151.89 (define @t77 () (@var "U" $$unsorted)) % 151.11/151.89 (define @t78 () (_ @t63 @t77)) % 151.11/151.89 (define @t79 () (_ @t70 @t77)) % 151.11/151.89 (define @t80 () (and @t71 @t79)) % 151.11/151.89 (define @t81 () (@list @t62 @t69 @t77)) % 151.11/151.89 (define @t82 () (forall @t81 (=> @t80 @t78))) % 151.11/151.89 (define @t83 () (lambda @t67 @t82)) % 151.11/151.89 (define @t84 () (and @t71 @t78)) % 151.11/151.89 (define @t85 () (forall @t81 (=> @t84 @t79))) % 151.11/151.89 (define @t86 () (lambda @t67 @t85)) % 151.11/151.89 (define @t87 () (= @t69 @t77)) % 151.11/151.89 (define @t88 () (lambda @t67 (forall @t81 (=> @t84 @t87)))) % 151.11/151.89 (define @t89 () (@list @t77)) % 151.11/151.89 (define @t90 () (lambda @t67 (forall @t65 (exists @t73 (and @t71 (forall @t89 (=> @t78 @t87))))))) % 151.11/151.89 (define @t91 () (_ @t53 @t77)) % 151.11/151.89 (define @t92 () (_ @t91 @t69)) % 151.11/151.89 (define @t93 () (lambda @t67 (forall @t81 (=> @t71 (exists @t89 (and @t78 @t92)))))) % 151.11/151.89 (define @t94 () (lambda @t67 (forall @t81 (=> @t84 (or @t79 @t87 @t92))))) % 151.11/151.89 (define @t95 () (lambda @t67 (forall @t81 (=> @t84 (exists @t57 (and (_ @t70 @t51) (_ @t91 @t51))))))) % 151.11/151.89 (define @t96 () (forall @t49 @t20)) % 151.11/151.89 (define @t97 () (@list @t19)) % 151.11/151.89 (define @t98 () (lambda @t97 @t96)) % 151.11/151.89 (define @t99 () (lambda @t97 (forall @t49 @t21))) % 151.11/151.89 (define @t100 () (lambda @t97 (exists @t49 @t20))) % 151.11/151.89 (define @t101 () (lambda @t97 (exists @t49 @t21))) % 151.11/151.89 (define @t102 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 151.11/151.89 (define @t103 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 151.11/151.89 (define @t104 () (_ @t103 @t102 @t62)) % 151.11/151.89 (define @t105 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 151.11/151.89 (define @t106 () (_ @t105 @t104 @t77)) % 151.11/151.89 (define @t107 () (_ @t105 (_ @t103 @t102 @t69) @t77)) % 151.11/151.89 (define @t108 () (not (_ @t105 @t104 @t69))) % 151.11/151.89 (define @t109 () (forall @t81 (or @t108 (not @t107) @t106))) % 151.11/151.89 (define @t110 () (tptp.rk @t62 @t77)) % 151.11/151.89 (define @t111 () (tptp.rk @t69 @t77)) % 151.11/151.89 (define @t112 () (not (tptp.rk @t62 @t69))) % 151.11/151.89 (define @t113 () (forall @t81 (or @t112 (not @t111) @t110))) % 151.11/151.89 (define @t114 () (_ @t53 @t62 @t77)) % 151.11/151.89 (define @t115 () (_ @t53 @t69 @t77)) % 151.11/151.89 (define @t116 () (_ @t53 @t62 @t69)) % 151.11/151.89 (define @t117 () (not @t116)) % 151.11/151.89 (define @t118 () (not @t79)) % 151.11/151.89 (define @t119 () (not @t71)) % 151.11/151.89 (define @t120 () (or @t119 @t118 @t78)) % 151.11/151.89 (define @t121 () (forall @t81 (or @t112 (not @t110) @t111))) % 151.11/151.89 (define @t122 () (lambda @t67 (forall @t81 (or @t117 (not @t114) @t115)))) % 151.11/151.89 (define @t123 () (not @t78)) % 151.11/151.89 (define @t124 () (or @t119 @t123 @t79)) % 151.11/151.89 (define @t125 () (@var "BOUND_VARIABLE_8584" $$unsorted)) % 151.11/151.89 (define @t126 () (@var "BOUND_VARIABLE_8667" (@ho-elim-sort (-> $$unsorted Bool)))) % 151.11/151.89 (define @t127 () (_ @t103 @t102 @t14)) % 151.11/151.89 (define @t128 () (_ @t105 @t126 @t51)) % 151.11/151.89 (define @t129 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 151.11/151.89 (define @t130 () (_ @t103 @t129 @t14)) % 151.11/151.89 (define @t131 () (not (forall @t57 (or (not (_ @t105 @t130 @t51)) @t128)))) % 151.11/151.89 (define @t132 () (forall (@list @t14 @t126 @t125) (or @t131 (not (_ @t105 @t127 @t125)) (_ @t105 @t126 @t125)))) % 151.11/151.89 (define @t133 () (@quantifiers_skolemize @t132 0)) % 151.11/151.89 (define @t134 () (@quantifiers_skolemize @t132 2)) % 151.11/151.89 (define @t135 () (_ @t103 @t129 @t134)) % 151.11/151.89 (define @t136 () (forall @t73 (not (_ @t105 @t135 @t69)))) % 151.11/151.89 (define @t137 () (@quantifiers_skolemize @t136 0)) % 151.11/151.89 (define @t138 () (@var "BOUND_VARIABLE_8544" $$unsorted)) % 151.11/151.89 (define @t139 () (@var "BOUND_VARIABLE_8542" $$unsorted)) % 151.11/151.89 (define @t140 () (forall (@list @t14 @t126 @t139 @t138) (or @t131 (not (_ @t105 @t130 @t139)) (not (_ @t105 (_ @t103 @t102 @t139) @t138)) (_ @t105 @t126 @t138)))) % 151.11/151.89 (define @t141 () (_ @t39 @t138)) % 151.11/151.89 (define @t142 () (not (tptp.rk @t139 @t138))) % 151.11/151.89 (define @t143 () (not (tptp.rb @t14 @t139))) % 151.11/151.89 (define @t144 () (_ @t39 @t51)) % 151.11/151.89 (define @t145 () (not (tptp.rb @t14 @t51))) % 151.11/151.89 (define @t146 () (forall @t57 (or @t145 @t144))) % 151.11/151.89 (define @t147 () (not @t146)) % 151.11/151.89 (define @t148 () (or @t147 @t143 @t142 @t141)) % 151.11/151.89 (define @t149 () (forall (@list @t14 @t39 @t139 @t138) @t148)) % 151.11/151.89 (define @t150 () (@list @t39 @t139 @t138)) % 151.11/151.89 (define @t151 () (forall @t150 @t148)) % 151.11/151.89 (define @t152 () (lambda @t49 @t151)) % 151.11/151.89 (define @t153 () (_ @t152 @t14)) % 151.11/151.89 (define @t154 () (forall @t49 @t153)) % 151.11/151.89 (define @t155 () (_ @t19 @t14)) % 151.11/151.89 (define @t156 () (lambda @t97 (forall @t49 @t155))) % 151.11/151.89 (define @t157 () (or @t143 @t142 @t141)) % 151.11/151.89 (define @t158 () (or @t147 @t157)) % 151.11/151.89 (define @t159 () (forall @t150 @t158)) % 151.11/151.89 (define @t160 () (@list @t139 @t138)) % 151.11/151.89 (define @t161 () (forall @t160 @t158)) % 151.11/151.89 (define @t162 () (forall @t160 @t157)) % 151.11/151.89 (define @t163 () (@var "BOUND_VARIABLE_8509" $$unsorted)) % 151.11/151.89 (define @t164 () (or @t147 @t162)) % 151.11/151.89 (define @t165 () (not (tptp.rk @t51 @t163))) % 151.11/151.89 (define @t166 () (@list @t51 @t163)) % 151.11/151.89 (define @t167 () (or @t147 (forall @t166 (or @t145 @t165 (_ @t39 @t163))))) % 151.11/151.89 (define @t168 () (_ @t2 @t163)) % 151.11/151.89 (define @t169 () (not (tptp.rb @t1 @t51))) % 151.11/151.89 (define @t170 () (forall @t166 (or @t169 @t165 @t168))) % 151.11/151.89 (define @t171 () (_ @t2 @t51)) % 151.11/151.89 (define @t172 () (forall @t57 (or @t169 @t171))) % 151.11/151.89 (define @t173 () (not @t172)) % 151.11/151.89 (define @t174 () (or @t173 @t170)) % 151.11/151.89 (define @t175 () (lambda @t6 @t174)) % 151.11/151.89 (define @t176 () (_ @t175 @t39 @t14)) % 151.11/151.89 (define @t177 () (forall @t43 @t176)) % 151.11/151.89 (define @t178 () (lambda @t49 @t177)) % 151.11/151.89 (define @t179 () (_ @t40 @t39 @t14)) % 151.11/151.89 (define @t180 () (lambda @t45 (forall @t43 @t179))) % 151.11/151.89 (define @t181 () (@list @t1)) % 151.11/151.89 (define @t182 () (or @t145 @t165 @t168)) % 151.11/151.89 (define @t183 () (lambda @t49 (forall @t166 @t182))) % 151.11/151.89 (define @t184 () (_ @t183 @t1)) % 151.11/151.89 (define @t185 () (or @t173 @t184)) % 151.11/151.89 (define @t186 () (lambda @t181 @t185)) % 151.11/151.89 (define @t187 () (_ @t24 @t1)) % 151.11/151.89 (define @t188 () (@list @t24 @t1)) % 151.11/151.89 (define @t189 () (lambda @t188 (or @t173 @t187))) % 151.11/151.89 (define @t190 () (or @t165 @t168)) % 151.11/151.89 (define @t191 () (or @t145 @t190)) % 151.11/151.89 (define @t192 () (forall @t166 @t191)) % 151.11/151.89 (define @t193 () (@list @t163)) % 151.11/151.89 (define @t194 () (forall @t193 @t191)) % 151.11/151.89 (define @t195 () (forall @t193 @t190)) % 151.11/151.89 (define @t196 () (@var "BOUND_VARIABLE_8493" $$unsorted)) % 151.11/151.89 (define @t197 () (@list @t196)) % 151.11/151.89 (define @t198 () (or @t145 @t195)) % 151.11/151.89 (define @t199 () (_ @t2 @t196)) % 151.11/151.89 (define @t200 () (@list @t196)) % 151.11/151.89 (define @t201 () (forall @t200 (or (not (tptp.rk @t51 @t196)) @t199))) % 151.11/151.89 (define @t202 () (not (tptp.rk @t14 @t51))) % 151.11/151.89 (define @t203 () (forall @t57 (or @t202 @t171))) % 151.11/151.89 (define @t204 () (@list @t51)) % 151.11/151.89 (define @t205 () (lambda @t49 @t203)) % 151.11/151.89 (define @t206 () (or @t145 (_ @t205 @t51))) % 151.11/151.89 (define @t207 () (forall @t57 @t206)) % 151.11/151.89 (define @t208 () (lambda @t49 @t207)) % 151.11/151.89 (define @t209 () (_ @t19 @t51)) % 151.11/151.89 (define @t210 () (lambda @t22 (forall @t57 (or @t145 @t209)))) % 151.11/151.89 (define @t211 () (lambda @t22 (forall @t57 (or @t202 @t209)))) % 151.11/151.89 (define @t212 () (_ @t53 @t14 @t51)) % 151.11/151.89 (define @t213 () (lambda @t59 (forall @t57 (or (not @t212) @t209)))) % 151.11/151.89 (define @t214 () (_ @t213 tptp.rk)) % 151.11/151.89 (define @t215 () (_ @t213 tptp.rb)) % 151.11/151.89 (define @t216 () (lambda @t49 (forall @t57 (or @t145 @t171)))) % 151.11/151.89 (define @t217 () (_ @t216 @t1)) % 151.11/151.89 (define @t218 () (not @t217)) % 151.11/151.89 (define @t219 () (or @t218 @t187)) % 151.11/151.89 (define @t220 () (lambda @t188 @t219)) % 151.11/151.89 (define @t221 () (or (not (_ @t19 @t1)) @t187)) % 151.11/151.89 (define @t222 () (lambda @t30 @t221)) % 151.11/151.89 (define @t223 () (_ @t214 @t2)) % 151.11/151.89 (define @t224 () (_ @t215 @t2)) % 151.11/151.89 (define @t225 () (_ @t222 @t224)) % 151.11/151.89 (define @t226 () (or @t21 @t25)) % 151.11/151.89 (define @t227 () (lambda @t49 @t226)) % 151.11/151.89 (define @t228 () (@list @t24 @t14)) % 151.11/151.89 (define @t229 () (lambda @t49 @t21)) % 151.11/151.89 (define @t230 () (_ @t229 @t14)) % 151.11/151.89 (define @t231 () (or @t230 @t25)) % 151.11/151.89 (define @t232 () (lambda @t228 @t231)) % 151.11/151.89 (define @t233 () (_ @t105 @t135 @t133)) % 151.11/151.89 (define @t234 () (_ @t103 @t102 @t137)) % 151.11/151.89 (define @t235 () (_ @t105 @t234 @t133)) % 151.11/151.89 (define @t236 () (not @t235)) % 151.11/151.89 (define @t237 () (_ @t105 @t135 @t137)) % 151.11/151.89 (define @t238 () (not @t237)) % 151.11/151.89 (define @t239 () (or @t238 @t236 @t233)) % 151.11/151.89 (define @t240 () (_ @t105 @t135 @t51)) % 151.11/151.89 (define @t241 () (not @t240)) % 151.11/151.89 (define @t242 () (forall @t57 (or @t241 @t240))) % 151.11/151.89 (define @t243 () (not @t242)) % 151.11/151.89 (define @t244 () (or @t243 @t238 @t236 @t233)) % 151.11/151.89 (define @t245 () (@list false)) % 151.11/151.89 (define @t246 () (_ @t103 @t129 @t62)) % 151.11/151.89 (define @t247 () (not (_ @t105 @t246 @t69))) % 151.11/151.89 (define @t248 () (not (tptp.rb @t62 @t69))) % 151.11/151.89 (define @t249 () (forall @t81 (or @t248 (not (tptp.rb @t62 @t77)) (tptp.rb @t69 @t77)))) % 151.11/151.89 (define @t250 () (_ @t103 @t129 @t133)) % 151.11/151.89 (define @t251 () (_ @t105 @t250 @t51)) % 151.11/151.89 (define @t252 () (forall @t57 (or @t241 @t251))) % 151.11/151.89 (define @t253 () (@quantifiers_skolemize @t252 0)) % 151.11/151.89 (define @t254 () (@var "BOUND_VARIABLE_8455" $$unsorted)) % 151.11/151.89 (define @t255 () (_ @t39 @t254)) % 151.11/151.89 (define @t256 () (not (tptp.rb @t14 @t254))) % 151.11/151.89 (define @t257 () (forall @t57 (or @t202 @t144))) % 151.11/151.89 (define @t258 () (not @t257)) % 151.11/151.89 (define @t259 () (or @t258 @t256 @t255)) % 151.11/151.89 (define @t260 () (forall (@list @t14 @t39 @t254) @t259)) % 151.11/151.89 (define @t261 () (@list @t39 @t254)) % 151.11/151.89 (define @t262 () (forall @t261 @t259)) % 151.11/151.89 (define @t263 () (lambda @t49 @t262)) % 151.11/151.89 (define @t264 () (_ @t263 @t14)) % 151.11/151.89 (define @t265 () (forall @t49 @t264)) % 151.11/151.89 (define @t266 () (or @t256 @t255)) % 151.11/151.89 (define @t267 () (or @t258 @t266)) % 151.11/151.89 (define @t268 () (forall @t261 @t267)) % 151.11/151.89 (define @t269 () (@list @t254)) % 151.11/151.89 (define @t270 () (forall @t269 @t267)) % 151.11/151.89 (define @t271 () (forall @t269 @t266)) % 151.11/151.89 (define @t272 () (or @t258 @t271)) % 151.11/151.89 (define @t273 () (or @t258 @t146)) % 151.11/151.89 (define @t274 () (forall @t57 (or (not (tptp.rk @t1 @t51)) @t171))) % 151.11/151.89 (define @t275 () (not @t274)) % 151.11/151.89 (define @t276 () (or @t275 @t172)) % 151.11/151.89 (define @t277 () (lambda @t6 @t276)) % 151.11/151.89 (define @t278 () (_ @t277 @t39 @t14)) % 151.11/151.89 (define @t279 () (forall @t43 @t278)) % 151.11/151.89 (define @t280 () (lambda @t49 @t279)) % 151.11/151.89 (define @t281 () (or @t275 @t217)) % 151.11/151.89 (define @t282 () (lambda @t181 @t281)) % 151.11/151.89 (define @t283 () (_ @t205 @t1)) % 151.11/151.89 (define @t284 () (not @t283)) % 151.11/151.89 (define @t285 () (or @t284 @t187)) % 151.11/151.89 (define @t286 () (lambda @t188 @t285)) % 151.11/151.89 (define @t287 () (_ @t103 @t102 @t133)) % 151.11/151.89 (define @t288 () (_ @t103 @t102 @t134)) % 151.11/151.89 (define @t289 () (forall @t57 (or (not (_ @t105 @t288 @t51)) (_ @t105 @t287 @t51)))) % 151.11/151.89 (define @t290 () (@quantifiers_skolemize @t289 0)) % 151.11/151.89 (define @t291 () (_ @t105 @t288 @t290)) % 151.11/151.89 (define @t292 () (_ @t105 @t287 @t290)) % 151.11/151.89 (define @t293 () (not @t291)) % 151.11/151.89 (define @t294 () (or @t293 @t292)) % 151.11/151.89 (define @t295 () (_ @t39 @t125)) % 151.11/151.89 (define @t296 () (not (tptp.rk @t14 @t125))) % 151.11/151.89 (define @t297 () (or @t147 @t296 @t295)) % 151.11/151.89 (define @t298 () (forall (@list @t14 @t39 @t125) @t297)) % 151.11/151.89 (define @t299 () (@list @t39 @t125)) % 151.11/151.89 (define @t300 () (forall @t299 @t297)) % 151.11/151.89 (define @t301 () (lambda @t49 @t300)) % 151.11/151.89 (define @t302 () (_ @t301 @t14)) % 151.11/151.89 (define @t303 () (forall @t49 @t302)) % 151.11/151.89 (define @t304 () (or @t296 @t295)) % 151.11/151.89 (define @t305 () (or @t147 @t304)) % 151.11/151.89 (define @t306 () (forall @t299 @t305)) % 151.11/151.89 (define @t307 () (@list @t125)) % 151.11/151.89 (define @t308 () (forall @t307 @t305)) % 151.11/151.89 (define @t309 () (forall @t307 @t304)) % 151.11/151.89 (define @t310 () (or @t147 @t309)) % 151.11/151.89 (define @t311 () (or @t147 @t257)) % 151.11/151.89 (define @t312 () (or @t173 @t274)) % 151.11/151.89 (define @t313 () (lambda @t6 @t312)) % 151.11/151.89 (define @t314 () (_ @t313 @t39 @t14)) % 151.11/151.89 (define @t315 () (forall @t43 @t314)) % 151.11/151.89 (define @t316 () (lambda @t49 @t315)) % 151.11/151.89 (define @t317 () (or @t173 @t283)) % 151.11/151.89 (define @t318 () (lambda @t181 @t317)) % 151.11/151.89 (define @t319 () (lambda @t6 (_ (_ @t225 @t223) @t1))) % 151.11/151.89 (define @t320 () (_ @t105 @t287 @t134)) % 151.11/151.89 (define @t321 () (@quantifiers_skolemize @t132 1)) % 151.11/151.89 (define @t322 () (_ @t105 @t321 @t134)) % 151.11/151.89 (define @t323 () (not @t320)) % 151.11/151.89 (define @t324 () (forall @t57 (or (not @t251) (_ @t105 @t321 @t51)))) % 151.11/151.89 (define @t325 () (not @t324)) % 151.11/151.89 (define @t326 () (or @t325 @t323 @t322)) % 151.11/151.89 (define @t327 () (@list true)) % 151.11/151.89 (define @t328 () (@list @t326)) % 151.11/151.89 (define @t329 () (or @t323 @t293 @t292)) % 151.11/151.89 (define @t330 () (not @t294)) % 151.11/151.89 (define @t331 () (not @t289)) % 151.11/151.89 (define @t332 () (forall @t65 (not (forall @t73 @t248)))) % 151.11/151.89 (define @t333 () (forall @t73 @t119)) % 151.11/151.89 (define @t334 () (not @t333)) % 151.11/151.89 (define @t335 () (@list @t134)) % 151.11/151.89 (define @t336 () (not @t136)) % 151.11/151.89 (define @t337 () (not @t238)) % 151.11/151.89 (define @t338 () (_ @t105 @t287 @t137)) % 151.11/151.89 (define @t339 () (or @t331 @t238 @t338)) % 151.11/151.89 (define @t340 () (@list false false false)) % 151.11/151.89 (define @t341 () (_ @t105 @t234 @t134)) % 151.11/151.89 (define @t342 () (not @t338)) % 151.11/151.89 (define @t343 () (or @t342 @t323 @t341)) % 151.11/151.89 (define @t344 () (_ @t105 @t250 @t134)) % 151.11/151.89 (define @t345 () (not @t344)) % 151.11/151.89 (define @t346 () (or @t345 @t322)) % 151.11/151.89 (define @t347 () (@list true false)) % 151.11/151.89 (define @t348 () (not @t341)) % 151.11/151.89 (define @t349 () (not @t252)) % 151.11/151.89 (define @t350 () (or @t349 @t238 @t348 @t344)) % 151.11/151.89 (define @t351 () (_ @t105 @t250 @t253)) % 151.11/151.89 (define @t352 () (_ @t105 @t135 @t253)) % 151.11/151.89 (define @t353 () (not @t352)) % 151.11/151.89 (define @t354 () (or @t353 @t351)) % 151.11/151.89 (define @t355 () (not @t354)) % 151.11/151.89 (define @t356 () (@list @t354)) % 151.11/151.89 (define @t357 () (not @t233)) % 151.11/151.89 (define @t358 () (or @t357 @t353 @t351)) % 151.11/151.89 (define @t359 () (@list false true false)) % 151.11/151.89 (define @t360 () (forall @t65 (tptp.rk @t62 @t62))) % 151.11/151.89 (define @t361 () (_ @t53 @t62 @t62)) % 151.11/151.89 (define @t362 () (_ @t105 @t288 @t133)) % 151.11/151.89 (define @t363 () (_ @t105 @t287 @t133)) % 151.11/151.89 (define @t364 () (not @t363)) % 151.11/151.89 (define @t365 () (or @t323 @t364 @t362)) % 151.11/151.89 (define @t366 () (not @t362)) % 151.11/151.89 (define @t367 () (_ @t105 @t288 @t137)) % 151.11/151.89 (define @t368 () (not @t367)) % 151.11/151.89 (define @t369 () (or @t368 @t366 @t235)) % 151.11/151.89 (define @t370 () (or @t366 @t342 @t367)) % 151.11/151.89 (define @t371 () (not @t370)) % 151.11/151.89 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 151.11/151.89 (assume @p2 (_ tptp.mreflexive tptp.rk)) % 151.11/151.89 (assume @p3 (_ tptp.mserial tptp.rb)) % 151.11/151.89 (assume @p4 (_ tptp.mtransitive tptp.rk)) % 151.11/151.89 (assume @p5 (_ tptp.mtransitive tptp.rb)) % 151.11/151.89 (assume @p6 (_ tptp.meuclidean tptp.rk)) % 151.11/151.89 (assume @p7 (_ tptp.meuclidean tptp.rb)) % 151.11/151.89 (assume @p8 (_ tptp.mvalid (_ tptp.mforall_prop @t7))) % 151.11/151.89 (assume @p9 (_ tptp.mvalid (_ tptp.mforall_prop @t9))) % 151.11/151.89 (assume @p10 @t11) % 151.11/151.89 (assume @p11 true) % 151.11/151.89 (step @p12 (= tptp.meq_ind @t15) :rule refl :args (@t15)) % 151.11/151.89 (step @p13 (= tptp.meq_prop @t18) :rule refl :args (@t18)) % 151.11/151.89 (step @p14 (= tptp.mnot @t23) :rule refl :args (@t23)) % 151.11/151.89 (step @p15 (= tptp.mor @t26) :rule refl :args (@t26)) % 151.11/151.89 (step @p16 (= tptp.mand @t31) :rule refl :args (@t31)) % 151.11/151.89 (step @p17 (= tptp.mimplies @t32) :rule refl :args (@t32)) % 151.11/151.89 (step @p18 (= tptp.mimplied @t33) :rule refl :args (@t33)) % 151.11/151.89 (step @p19 (= tptp.mequiv @t34) :rule refl :args (@t34)) % 151.11/151.89 (step @p20 (= tptp.mxor @t35) :rule refl :args (@t35)) % 151.11/151.89 (step @p21 (= tptp.mforall_ind @t38) :rule refl :args (@t38)) % 151.11/151.89 (step @p22 (= tptp.mforall_prop @t46) :rule refl :args (@t46)) % 151.11/151.89 (step @p23 (= tptp.mexists_ind @t47) :rule refl :args (@t47)) % 151.11/151.89 (step @p24 (= tptp.mexists_prop @t48) :rule refl :args (@t48)) % 151.11/151.89 (step @p25 (= tptp.mtrue @t50) :rule refl :args (@t50)) % 151.11/151.89 (step @p26 (= tptp.mbox @t60) :rule refl :args (@t60)) % 151.11/151.89 (step @p27 (= tptp.mdia @t61) :rule refl :args (@t61)) % 151.11/151.89 (step @p28 (= tptp.mreflexive @t68) :rule refl :args (@t68)) % 151.11/151.89 (step @p29 (= tptp.msymmetric @t72) :rule refl :args (@t72)) % 151.11/151.89 (step @p30 (= tptp.mserial @t76) :rule refl :args (@t76)) % 151.11/151.89 (step @p31 (= tptp.mtransitive @t83) :rule refl :args (@t83)) % 151.11/151.89 (step @p32 (= tptp.meuclidean @t86) :rule refl :args (@t86)) % 151.11/151.89 (step @p33 (= tptp.mpartially_functional @t88) :rule refl :args (@t88)) % 151.11/151.89 (step @p34 (= tptp.mfunctional @t90) :rule refl :args (@t90)) % 151.11/151.89 (step @p35 (= tptp.mweakly_dense @t93) :rule refl :args (@t93)) % 151.11/151.89 (step @p36 (= tptp.mweakly_connected @t94) :rule refl :args (@t94)) % 151.11/151.89 (step @p37 (= tptp.mweakly_directed @t95) :rule refl :args (@t95)) % 151.11/151.89 (step @p38 (= tptp.mvalid @t98) :rule refl :args (@t98)) % 151.11/151.89 (step @p39 (= tptp.minvalid @t99) :rule refl :args (@t99)) % 151.11/151.89 (step @p40 (= tptp.msatisfiable @t100) :rule refl :args (@t100)) % 151.11/151.89 (step @p41 (= tptp.mcountersatisfiable @t101) :rule refl :args (@t101)) % 151.11/151.89 ; WARNING: add trust step for TRUST % 151.11/151.89 ; trust TRUST PREPROCESS_HO_ELIM % 151.11/151.89 (step @p42 :rule trust :premises () :args ((= @t113 @t109))) % 151.11/151.89 (step @p43 :rule beta-reduce :args ((= (_ (lambda @t67 (forall @t81 (or @t117 (not @t115) @t114))) tptp.rk) @t113))) % 151.11/151.89 (step @p44 :rule refl :args (tptp.rk)) % 151.11/151.89 (step @p45 :rule refl :args (@t114)) % 151.11/151.89 (step @p46 :rule refl :args (@t78)) % 151.11/151.89 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t78 @t114))) % 151.11/151.89 (step @p48 :rule symm :premises (@p47)) % 151.11/151.89 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 151.11/151.89 (step @p50 :rule refl :args (@t115)) % 151.11/151.89 (step @p51 :rule refl :args (@t79)) % 151.11/151.89 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t79 @t115))) % 151.11/151.89 (step @p53 :rule symm :premises (@p52)) % 151.11/151.89 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 151.11/151.89 (step @p55 :rule cong :premises (@p54) :args (@t118)) % 151.11/151.89 (step @p56 :rule refl :args (@t116)) % 151.11/151.89 (step @p57 :rule refl :args (@t71)) % 151.11/151.89 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t71 @t116))) % 151.11/151.89 (step @p59 :rule symm :premises (@p58)) % 151.11/151.89 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 151.11/151.89 (step @p61 :rule cong :premises (@p60) :args (@t119)) % 151.11/151.89 (step @p62 :rule nary_cong :premises (@p61 @p55 @p49) :args (@t120)) % 151.11/151.89 (step @p63 :rule cong :premises (@p62) :args ((forall @t81 @t120))) % 151.11/151.89 (step @p64 :rule aci_norm :args ((= (or (or @t119 @t118) @t78) @t120))) % 151.11/151.89 (step @p65 :rule bool-and-de-morgan :args (@t71 @t79 true)) % 151.11/151.89 (step @p66 :rule nary_cong :premises (@p65 @p46) :args ((or (not @t80) @t78))) % 151.11/151.89 (step @p67 :rule trans :premises (@p66 @p64)) % 151.11/151.89 (step @p68 :rule bool-impl-elim :args (@t80 @t78)) % 151.11/151.89 (step @p69 :rule trans :premises (@p68 @p67)) % 151.11/151.89 (step @p70 :rule cong :premises (@p69) :args (@t82)) % 151.11/151.89 (step @p71 :rule trans :premises (@p70 @p63)) % 151.11/151.89 (step @p72 :rule cong :premises (@p71) :args (@t83)) % 151.11/151.89 (step @p73 :rule trans :premises (@p31 @p72)) % 151.11/151.89 (step @p74 :rule ho_cong :premises (@p73 @p44)) % 151.11/151.89 (step @p75 :rule trans :premises (@p74 @p43)) % 151.11/151.89 (step @p76 :rule trans :premises (@p75 @p42)) % 151.11/151.89 (step @p77 :rule eq_resolve :premises (@p4 @p76)) % 151.11/151.89 ; trust TRUST PREPROCESS_HO_ELIM % 151.11/151.89 (step @p78 :rule trust :premises () :args ((= @t121 (forall @t81 (or @t108 (not @t106) @t107))))) % 151.11/151.89 (step @p79 :rule beta-reduce :args ((= (_ @t122 tptp.rk) @t121))) % 151.11/151.89 (step @p80 :rule cong :premises (@p49) :args (@t123)) % 151.11/151.89 (step @p81 :rule nary_cong :premises (@p61 @p80 @p54) :args (@t124)) % 151.11/151.89 (step @p82 :rule cong :premises (@p81) :args ((forall @t81 @t124))) % 151.11/151.89 (step @p83 :rule aci_norm :args ((= (or (or @t119 @t123) @t79) @t124))) % 151.11/151.89 (step @p84 :rule bool-and-de-morgan :args (@t71 @t78 true)) % 151.11/151.89 (step @p85 :rule nary_cong :premises (@p84 @p51) :args ((or (not @t84) @t79))) % 151.11/151.89 (step @p86 :rule trans :premises (@p85 @p83)) % 151.11/151.89 (step @p87 :rule bool-impl-elim :args (@t84 @t79)) % 151.11/151.89 (step @p88 :rule trans :premises (@p87 @p86)) % 151.11/151.89 (step @p89 :rule cong :premises (@p88) :args (@t85)) % 151.11/151.89 (step @p90 :rule trans :premises (@p89 @p82)) % 151.11/151.89 (step @p91 :rule cong :premises (@p90) :args (@t86)) % 151.11/151.89 (step @p92 :rule trans :premises (@p32 @p91)) % 151.11/151.89 (step @p93 :rule ho_cong :premises (@p92 @p44)) % 151.11/151.89 (step @p94 :rule trans :premises (@p93 @p79)) % 151.11/151.89 (step @p95 :rule trans :premises (@p94 @p78)) % 151.11/151.89 (step @p96 :rule eq_resolve :premises (@p6 @p95)) % 151.11/151.89 (step @p97 :rule instantiate :premises (@p96) :args ((@list @t134 @t137 @t133))) % 151.11/151.89 ; trust TRUST PREPROCESS_HO_ELIM % 151.11/151.89 (step @p98 :rule trust :premises () :args ((= @t149 @t140))) % 151.11/151.89 (step @p99 :rule quant-merge-prenex :args ((= (forall @t49 @t151) @t149))) % 151.11/151.89 (step @p100 :rule beta-reduce :args ((= @t153 @t151))) % 151.11/151.89 (step @p101 :rule cong :premises (@p100) :args (@t154)) % 151.11/151.89 (step @p102 :rule trans :premises (@p101 @p99)) % 151.11/151.89 (step @p103 :rule beta-reduce :args ((= (_ @t156 @t152) @t154))) % 151.11/151.89 (step @p104 :rule trans :premises (@p103 @p102)) % 151.11/151.89 (step @p105 :rule aci_norm :args ((= @t158 @t148))) % 151.11/151.89 (step @p106 :rule cong :premises (@p105) :args (@t159)) % 151.11/151.89 (step @p107 :rule quant-merge-prenex :args ((= (forall @t43 @t161) @t159))) % 151.11/151.89 (step @p108 :rule alpha_equiv :args (@t162 (@list @t139 @t138) (@list @t51 @t163))) % 151.11/151.89 (step @p109 :rule refl :args (@t147)) % 151.11/151.89 (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t164)) % 151.11/151.89 (step @p111 :rule quant-miniscope-or :args ((= @t161 @t164))) % 151.11/151.89 (step @p112 :rule trans :premises (@p111 @p110)) % 151.11/151.89 (step @p113 :rule symm :premises (@p112)) % 151.11/151.89 (step @p114 :rule cong :premises (@p113) :args ((forall @t43 @t167))) % 151.11/151.89 (step @p115 :rule trans :premises (@p114 @p107)) % 151.11/151.89 (step @p116 :rule trans :premises (@p115 @p106)) % 151.11/151.89 (step @p117 :rule beta-reduce :args ((= @t176 @t167))) % 151.11/151.89 (step @p118 :rule cong :premises (@p117) :args (@t177)) % 151.11/151.89 (step @p119 :rule trans :premises (@p118 @p116)) % 151.11/151.89 (step @p120 :rule cong :premises (@p119) :args (@t178)) % 151.11/151.89 (step @p121 :rule beta-reduce :args ((= (_ @t180 @t175) @t178))) % 151.11/151.89 (step @p122 :rule trans :premises (@p121 @p120)) % 151.11/151.89 (step @p123 :rule beta-reduce :args ((= (_ (lambda @t181 @t174) @t1) @t174))) % 151.11/151.89 (step @p124 :rule refl :args (@t1)) % 151.11/151.89 (step @p125 :rule beta-reduce :args ((= @t184 @t170))) % 151.11/151.89 (step @p126 :rule refl :args (@t173)) % 151.11/151.89 (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t185)) % 151.11/151.89 (step @p128 :rule cong :premises (@p127) :args (@t186)) % 151.11/151.89 (step @p129 :rule beta-reduce :args ((= (_ @t189 @t183) @t186))) % 151.11/151.89 (step @p130 :rule trans :premises (@p129 @p128)) % 151.11/151.89 (step @p131 :rule aci_norm :args ((= @t191 @t182))) % 151.11/151.89 (step @p132 :rule cong :premises (@p131) :args (@t192)) % 151.11/151.89 (step @p133 :rule quant-merge-prenex :args ((= (forall @t57 @t194) @t192))) % 151.11/151.89 (step @p134 :rule alpha_equiv :args (@t195 (@list @t163) @t197)) % 151.11/151.89 (step @p135 :rule refl :args (@t145)) % 151.11/151.89 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t198)) % 151.11/151.89 (step @p137 :rule quant-miniscope-or :args ((= @t194 @t198))) % 151.11/151.89 (step @p138 :rule trans :premises (@p137 @p136)) % 151.11/151.89 (step @p139 :rule symm :premises (@p138)) % 151.11/151.89 (step @p140 :rule cong :premises (@p139) :args ((forall @t57 (or @t145 @t201)))) % 151.11/151.89 (step @p141 :rule trans :premises (@p140 @p133)) % 151.11/151.89 (step @p142 :rule trans :premises (@p141 @p132)) % 151.11/151.89 (step @p143 :rule beta-reduce :args ((= (_ (lambda @t49 (forall @t200 (or (not (tptp.rk @t14 @t196)) @t199))) @t51) @t201))) % 151.11/151.89 (step @p144 :rule refl :args (@t51)) % 151.11/151.89 (step @p145 :rule alpha_equiv :args (@t203 @t204 @t197)) % 151.11/151.89 (step @p146 :rule cong :premises (@p145) :args (@t205)) % 151.11/151.89 (step @p147 :rule ho_cong :premises (@p146 @p144)) % 151.11/151.89 (step @p148 :rule trans :premises (@p147 @p143)) % 151.11/151.89 (step @p149 :rule refl :args (@t145)) % 151.11/151.89 (step @p150 :rule nary_cong :premises (@p149 @p148) :args (@t206)) % 151.11/151.89 (step @p151 :rule cong :premises (@p150) :args (@t207)) % 151.11/151.89 (step @p152 :rule trans :premises (@p151 @p142)) % 151.11/151.89 (step @p153 :rule cong :premises (@p152) :args (@t208)) % 151.11/151.89 (step @p154 :rule beta-reduce :args ((= (_ @t210 @t205) @t208))) % 151.11/151.89 (step @p155 :rule trans :premises (@p154 @p153)) % 151.11/151.89 (step @p156 :rule beta-reduce :args ((= (_ @t211 @t2) @t205))) % 151.11/151.89 (step @p157 :rule refl :args (@t2)) % 151.11/151.89 (step @p158 :rule beta-reduce :args ((= @t214 @t211))) % 151.11/151.89 (step @p159 :rule ho_cong :premises (@p158 @p157)) % 151.11/151.89 (step @p160 :rule trans :premises (@p159 @p156)) % 151.11/151.89 (step @p161 :rule beta-reduce :args ((= @t215 @t210))) % 151.11/151.89 (step @p162 :rule ho_cong :premises (@p161 @p160)) % 151.11/151.89 (step @p163 :rule trans :premises (@p162 @p155)) % 151.11/151.89 (step @p164 :rule refl :args (@t187)) % 151.11/151.89 (step @p165 :rule beta-reduce :args ((= @t217 @t172))) % 151.11/151.89 (step @p166 :rule cong :premises (@p165) :args (@t218)) % 151.11/151.89 (step @p167 :rule nary_cong :premises (@p166 @p164) :args (@t219)) % 151.11/151.89 (step @p168 :rule cong :premises (@p167) :args (@t220)) % 151.11/151.89 (step @p169 :rule beta-reduce :args ((= (_ @t222 @t216) @t220))) % 151.11/151.89 (step @p170 :rule trans :premises (@p169 @p168)) % 151.11/151.89 (step @p171 :rule beta-reduce :args ((= (_ @t210 @t2) @t216))) % 151.11/151.89 (step @p172 :rule ho_cong :premises (@p161 @p157)) % 151.11/151.89 (step @p173 :rule trans :premises (@p172 @p171)) % 151.11/151.89 (step @p174 :rule refl :args (@t222)) % 151.11/151.89 (step @p175 :rule ho_cong :premises (@p174 @p173)) % 151.11/151.89 (step @p176 :rule trans :premises (@p175 @p170)) % 151.11/151.89 (step @p177 :rule ho_cong :premises (@p176 @p163)) % 151.11/151.89 (step @p178 :rule trans :premises (@p177 @p130)) % 151.11/151.89 (step @p179 :rule ho_cong :premises (@p178 @p124)) % 151.11/151.89 (step @p180 :rule trans :premises (@p179 @p123)) % 151.11/151.89 (step @p181 :rule cong :premises (@p180) :args ((lambda @t6 (_ (_ @t225 (_ @t215 @t223)) @t1)))) % 151.11/151.89 (step @p182 :rule refl :args (@t180)) % 151.11/151.89 (step @p183 :rule ho_cong :premises (@p182 @p181)) % 151.11/151.89 (step @p184 :rule trans :premises (@p183 @p122)) % 151.11/151.89 (step @p185 :rule refl :args (@t156)) % 151.11/151.89 (step @p186 :rule ho_cong :premises (@p185 @p184)) % 151.11/151.89 (step @p187 :rule trans :premises (@p186 @p104)) % 151.11/151.89 (step @p188 :rule refl :args (@t209)) % 151.11/151.89 (step @p189 :rule refl :args (@t52)) % 151.11/151.89 (step @p190 :rule cong :premises (@p189 @p188) :args ((= @t52 @t209))) % 151.11/151.89 (step @p191 :rule symm :premises (@p190)) % 151.11/151.89 (step @p192 :rule eq_resolve :premises (@p189 @p191)) % 151.11/151.89 (step @p193 :rule refl :args (@t212)) % 151.11/151.89 (step @p194 :rule refl :args (@t54)) % 151.11/151.89 (step @p195 :rule cong :premises (@p194 @p193) :args ((= @t54 @t212))) % 151.11/151.89 (step @p196 :rule symm :premises (@p195)) % 151.11/151.89 (step @p197 :rule eq_resolve :premises (@p194 @p196)) % 151.11/151.89 (step @p198 :rule cong :premises (@p197) :args (@t55)) % 151.11/151.89 (step @p199 :rule nary_cong :premises (@p198 @p192) :args (@t56)) % 151.11/151.89 (step @p200 :rule cong :premises (@p199) :args (@t58)) % 151.11/151.89 (step @p201 :rule cong :premises (@p200) :args (@t60)) % 151.11/151.89 (step @p202 :rule trans :premises (@p26 @p201)) % 151.11/151.89 (step @p203 :rule ho_cong :premises (@p202 @p44)) % 151.11/151.89 (step @p204 :rule ho_cong :premises (@p203 @p157)) % 151.11/151.89 (step @p205 :rule refl :args (tptp.rb)) % 151.11/151.89 (step @p206 :rule ho_cong :premises (@p202 @p205)) % 151.11/151.89 (step @p207 :rule ho_cong :premises (@p206 @p204)) % 151.11/151.89 (step @p208 :rule ho_cong :premises (@p206 @p157)) % 151.11/151.89 (step @p209 :rule beta-reduce :args ((= (_ @t227 @t1) @t221))) % 151.11/151.89 (step @p210 :rule beta-reduce :args ((= (_ (lambda @t228 @t226) @t24) @t227))) % 151.11/151.89 (step @p211 :rule refl :args (@t24)) % 151.11/151.89 (step @p212 :rule refl :args (@t25)) % 151.11/151.89 (step @p213 :rule beta-reduce :args ((= @t230 @t21))) % 151.11/151.89 (step @p214 :rule nary_cong :premises (@p213 @p212) :args (@t231)) % 151.11/151.89 (step @p215 :rule cong :premises (@p214) :args (@t232)) % 151.11/151.89 (step @p216 :rule beta-reduce :args ((= (_ @t26 @t229) @t232))) % 151.11/151.89 (step @p217 :rule trans :premises (@p216 @p215)) % 151.11/151.89 (step @p218 :rule beta-reduce :args ((= (_ @t23 @t19) @t229))) % 151.11/151.89 (step @p219 :rule refl :args (@t26)) % 151.11/151.89 (step @p220 :rule ho_cong :premises (@p219 @p218)) % 151.11/151.89 (step @p221 :rule trans :premises (@p220 @p217)) % 151.11/151.89 (step @p222 :rule ho_cong :premises (@p221 @p211)) % 151.11/151.89 (step @p223 :rule trans :premises (@p222 @p210)) % 151.11/151.89 (step @p224 :rule ho_cong :premises (@p223 @p124)) % 151.11/151.89 (step @p225 :rule trans :premises (@p224 @p209)) % 151.11/151.89 (step @p226 :rule refl :args (@t19)) % 151.11/151.89 (step @p227 :rule ho_cong :premises (@p14 @p226)) % 151.11/151.89 (step @p228 :rule ho_cong :premises (@p15 @p227)) % 151.11/151.89 (step @p229 :rule ho_cong :premises (@p228 @p211)) % 151.11/151.89 (step @p230 :rule ho_cong :premises (@p229 @p124)) % 151.11/151.89 (step @p231 :rule trans :premises (@p230 @p225)) % 151.11/151.89 (step @p232 :rule cong :premises (@p231) :args (@t32)) % 151.11/151.89 (step @p233 :rule trans :premises (@p17 @p232)) % 151.11/151.89 (step @p234 :rule ho_cong :premises (@p233 @p208)) % 151.11/151.89 (step @p235 :rule ho_cong :premises (@p234 @p207)) % 151.11/151.89 (step @p236 :rule ho_cong :premises (@p235 @p124)) % 151.11/151.89 (step @p237 :rule cong :premises (@p236) :args (@t9)) % 151.11/151.89 (step @p238 :rule refl :args (@t179)) % 151.11/151.89 (step @p239 :rule refl :args (@t42)) % 151.11/151.89 (step @p240 :rule cong :premises (@p239 @p238) :args ((= @t42 @t179))) % 151.11/151.89 (step @p241 :rule symm :premises (@p240)) % 151.11/151.89 (step @p242 :rule eq_resolve :premises (@p239 @p241)) % 151.11/151.89 (step @p243 :rule cong :premises (@p242) :args (@t44)) % 151.11/151.89 (step @p244 :rule cong :premises (@p243) :args (@t46)) % 151.11/151.89 (step @p245 :rule trans :premises (@p22 @p244)) % 151.11/151.89 (step @p246 :rule ho_cong :premises (@p245 @p237)) % 151.11/151.89 (step @p247 :rule refl :args (@t155)) % 151.11/151.89 (step @p248 :rule refl :args (@t20)) % 151.11/151.89 (step @p249 :rule cong :premises (@p248 @p247) :args ((= @t20 @t155))) % 151.11/151.89 (step @p250 :rule symm :premises (@p249)) % 151.11/151.89 (step @p251 :rule eq_resolve :premises (@p248 @p250)) % 151.11/151.89 (step @p252 :rule cong :premises (@p251) :args (@t96)) % 151.11/151.89 (step @p253 :rule cong :premises (@p252) :args (@t98)) % 151.11/151.89 (step @p254 :rule trans :premises (@p38 @p253)) % 151.11/151.89 (step @p255 :rule ho_cong :premises (@p254 @p246)) % 151.11/151.89 (step @p256 :rule trans :premises (@p255 @p187)) % 151.11/151.89 (step @p257 :rule trans :premises (@p256 @p98)) % 151.11/151.89 (step @p258 :rule eq_resolve :premises (@p9 @p257)) % 151.11/151.89 (step @p259 :rule aci_norm :args ((= (or false @t238 @t236 @t233) @t239))) % 151.11/151.89 (step @p260 :rule refl :args (@t233)) % 151.11/151.89 (step @p261 :rule refl :args (@t236)) % 151.11/151.89 (step @p262 :rule refl :args (@t238)) % 151.11/151.89 (step @p263 :rule evaluate :args ((not true))) % 151.11/151.89 (step @p264 :rule quant-unused-vars :args ((= (forall @t57 true) true))) % 151.11/151.89 (step @p265 :rule bool-or-taut2 :args (false @t240 false false)) % 151.11/151.89 (step @p266 :rule cong :premises (@p265) :args (@t242)) % 151.11/151.89 (step @p267 :rule trans :premises (@p266 @p264)) % 151.11/151.89 (step @p268 :rule cong :premises (@p267) :args (@t243)) % 151.11/151.89 (step @p269 :rule trans :premises (@p268 @p263)) % 151.11/151.89 (step @p270 :rule nary_cong :premises (@p269 @p262 @p261 @p260) :args (@t244)) % 151.11/151.89 (step @p271 :rule trans :premises (@p270 @p259)) % 151.11/151.89 (step @p272 :rule refl :args (@t140)) % 151.11/151.89 (step @p273 :rule cong :premises (@p272 @p271) :args ((=> @t140 @t244))) % 151.11/151.89 (assume-push @p530 @t140) % 151.11/151.89 (step @p275 :rule instantiate :premises (@p258) :args ((@list @t134 @t135 @t137 @t133))) % 151.11/151.89 (step-pop @p531 :rule scope :premises (@p275)) % 151.11/151.89 (step @p276 :rule process_scope :premises (@p531) :args (@t244)) % 151.11/151.89 (step @p278 :rule eq_resolve :premises (@p276 @p273)) % 151.11/151.89 (step @p279 :rule implies_elim :premises (@p278)) % 151.11/151.89 (step @p280 :rule chain_m_resolution :premises (@p279 @p258) :args (@t239 @t245 (@list @t140))) % 151.11/151.89 ; trust TRUST PREPROCESS_HO_ELIM % 151.11/151.89 (step @p281 :rule trust :premises () :args ((= @t249 (forall @t81 (or @t247 (not (_ @t105 @t246 @t77)) (_ @t105 (_ @t103 @t129 @t69) @t77)))))) % 151.11/151.89 (step @p282 :rule beta-reduce :args ((= (_ @t122 tptp.rb) @t249))) % 151.11/151.89 (step @p283 :rule ho_cong :premises (@p92 @p205)) % 151.11/151.89 (step @p284 :rule trans :premises (@p283 @p282)) % 151.11/151.89 (step @p285 :rule trans :premises (@p284 @p281)) % 151.11/151.89 (step @p286 :rule eq_resolve :premises (@p7 @p285)) % 151.11/151.89 (step @p287 :rule instantiate :premises (@p286) :args ((@list @t134 @t133 @t253))) % 151.11/151.89 (step @p288 :rule instantiate :premises (@p258) :args ((@list @t134 @t250 @t137 @t134))) % 151.11/151.89 (step @p289 :rule instantiate :premises (@p96) :args ((@list @t133 @t137 @t134))) % 151.11/151.89 ; trust TRUST PREPROCESS_HO_ELIM % 151.11/151.89 (step @p290 :rule trust :premises () :args ((= @t260 (forall (@list @t14 @t126 @t254) (or (not (forall @t57 (or (not (_ @t105 @t127 @t51)) @t128))) (not (_ @t105 @t130 @t254)) (_ @t105 @t126 @t254)))))) % 151.11/151.89 (step @p291 :rule quant-merge-prenex :args ((= (forall @t49 @t262) @t260))) % 151.11/151.89 (step @p292 :rule beta-reduce :args ((= @t264 @t262))) % 151.11/151.89 (step @p293 :rule cong :premises (@p292) :args (@t265)) % 151.11/151.89 (step @p294 :rule trans :premises (@p293 @p291)) % 151.11/151.89 (step @p295 :rule beta-reduce :args ((= (_ @t156 @t263) @t265))) % 151.11/151.89 (step @p296 :rule trans :premises (@p295 @p294)) % 151.11/151.89 (step @p297 :rule aci_norm :args ((= @t267 @t259))) % 151.11/151.89 (step @p298 :rule cong :premises (@p297) :args (@t268)) % 151.11/151.89 (step @p299 :rule quant-merge-prenex :args ((= (forall @t43 @t270) @t268))) % 151.11/151.89 (step @p300 :rule alpha_equiv :args (@t271 (@list @t254) @t204)) % 151.11/151.89 (step @p301 :rule refl :args (@t258)) % 151.11/151.89 (step @p302 :rule nary_cong :premises (@p301 @p300) :args (@t272)) % 151.11/151.89 (step @p303 :rule quant-miniscope-or :args ((= @t270 @t272))) % 151.11/151.89 (step @p304 :rule trans :premises (@p303 @p302)) % 151.11/151.89 (step @p305 :rule symm :premises (@p304)) % 151.11/151.89 (step @p306 :rule cong :premises (@p305) :args ((forall @t43 @t273))) % 151.11/151.89 (step @p307 :rule trans :premises (@p306 @p299)) % 151.11/151.89 (step @p308 :rule trans :premises (@p307 @p298)) % 151.11/151.89 (step @p309 :rule beta-reduce :args ((= @t278 @t273))) % 151.11/151.89 (step @p310 :rule cong :premises (@p309) :args (@t279)) % 151.11/151.89 (step @p311 :rule trans :premises (@p310 @p308)) % 151.11/151.89 (step @p312 :rule cong :premises (@p311) :args (@t280)) % 151.11/151.89 (step @p313 :rule beta-reduce :args ((= (_ @t180 @t277) @t280))) % 151.11/151.89 (step @p314 :rule trans :premises (@p313 @p312)) % 151.11/151.89 (step @p315 :rule beta-reduce :args ((= (_ (lambda @t181 @t276) @t1) @t276))) % 151.11/151.89 (step @p316 :rule refl :args (@t275)) % 151.11/151.89 (step @p317 :rule nary_cong :premises (@p316 @p165) :args (@t281)) % 151.11/151.89 (step @p318 :rule cong :premises (@p317) :args (@t282)) % 151.11/151.89 (step @p319 :rule beta-reduce :args ((= (_ (lambda @t188 (or @t275 @t187)) @t216) @t282))) % 151.11/151.89 (step @p320 :rule trans :premises (@p319 @p318)) % 151.11/151.89 (step @p321 :rule beta-reduce :args ((= @t283 @t274))) % 151.11/151.89 (step @p322 :rule cong :premises (@p321) :args (@t284)) % 151.11/151.89 (step @p323 :rule nary_cong :premises (@p322 @p164) :args (@t285)) % 151.11/151.89 (step @p324 :rule cong :premises (@p323) :args (@t286)) % 151.11/151.89 (step @p325 :rule beta-reduce :args ((= (_ @t222 @t205) @t286))) % 151.11/151.89 (step @p326 :rule trans :premises (@p325 @p324)) % 151.11/151.89 (step @p327 :rule ho_cong :premises (@p174 @p160)) % 151.11/151.89 (step @p328 :rule trans :premises (@p327 @p326)) % 151.11/151.89 (step @p329 :rule ho_cong :premises (@p328 @p173)) % 151.11/151.89 (step @p330 :rule trans :premises (@p329 @p320)) % 151.11/151.89 (step @p331 :rule ho_cong :premises (@p330 @p124)) % 151.11/151.89 (step @p332 :rule trans :premises (@p331 @p315)) % 151.11/151.89 (step @p333 :rule cong :premises (@p332) :args ((lambda @t6 (_ (_ (_ @t222 @t223) @t224) @t1)))) % 151.11/151.89 (step @p334 :rule ho_cong :premises (@p182 @p333)) % 151.11/151.89 (step @p335 :rule trans :premises (@p334 @p314)) % 151.11/151.89 (step @p336 :rule ho_cong :premises (@p185 @p335)) % 151.11/151.89 (step @p337 :rule trans :premises (@p336 @p296)) % 151.11/151.89 (step @p338 :rule ho_cong :premises (@p233 @p204)) % 151.11/151.89 (step @p339 :rule ho_cong :premises (@p338 @p208)) % 151.11/151.89 (step @p340 :rule ho_cong :premises (@p339 @p124)) % 151.11/151.89 (step @p341 :rule cong :premises (@p340) :args (@t7)) % 151.11/151.89 (step @p342 :rule ho_cong :premises (@p245 @p341)) % 151.11/151.89 (step @p343 :rule ho_cong :premises (@p254 @p342)) % 151.11/151.89 (step @p344 :rule trans :premises (@p343 @p337)) % 151.11/151.89 (step @p345 :rule trans :premises (@p344 @p290)) % 151.11/151.89 (step @p346 :rule eq_resolve :premises (@p8 @p345)) % 151.11/151.89 (step @p347 :rule instantiate :premises (@p346) :args ((@list @t134 @t287 @t137))) % 151.11/151.89 (step @p348 :rule bool-double-not-elim :args (@t291)) % 151.11/151.89 (step @p349 :rule refl :args (@t294)) % 151.11/151.89 (step @p350 :rule nary_cong :premises (@p349 @p348) :args ((or @t294 (not @t293)))) % 151.11/151.89 (step @p351 :rule cnf_or_neg :args (@t294 0)) % 151.11/151.89 (step @p352 :rule eq_resolve :premises (@p351 @p350)) % 151.11/151.89 (step @p353 :rule reordering :premises (@p352) :args ((or @t291 @t294))) % 151.11/151.89 (step @p354 :rule cnf_or_neg :args (@t294 1)) % 151.11/151.89 ; trust TRUST PREPROCESS_HO_ELIM % 151.11/151.89 (step @p355 :rule trust :premises () :args ((= (not @t298) (not @t132)))) % 151.11/151.89 (step @p356 :rule quant-merge-prenex :args ((= (forall @t49 @t300) @t298))) % 151.11/151.89 (step @p357 :rule beta-reduce :args ((= @t302 @t300))) % 151.11/151.89 (step @p358 :rule cong :premises (@p357) :args (@t303)) % 151.11/151.89 (step @p359 :rule trans :premises (@p358 @p356)) % 151.11/151.89 (step @p360 :rule beta-reduce :args ((= (_ @t156 @t301) @t303))) % 151.11/151.89 (step @p361 :rule trans :premises (@p360 @p359)) % 151.11/151.89 (step @p362 :rule aci_norm :args ((= @t305 @t297))) % 151.11/151.89 (step @p363 :rule cong :premises (@p362) :args (@t306)) % 151.11/151.89 (step @p364 :rule quant-merge-prenex :args ((= (forall @t43 @t308) @t306))) % 151.11/151.89 (step @p365 :rule alpha_equiv :args (@t309 (@list @t125) @t204)) % 151.11/151.89 (step @p366 :rule nary_cong :premises (@p109 @p365) :args (@t310)) % 151.11/151.89 (step @p367 :rule quant-miniscope-or :args ((= @t308 @t310))) % 151.11/151.89 (step @p368 :rule trans :premises (@p367 @p366)) % 151.11/151.89 (step @p369 :rule symm :premises (@p368)) % 151.11/151.89 (step @p370 :rule cong :premises (@p369) :args ((forall @t43 @t311))) % 151.11/151.89 (step @p371 :rule trans :premises (@p370 @p364)) % 151.11/151.89 (step @p372 :rule trans :premises (@p371 @p363)) % 151.11/151.89 (step @p373 :rule beta-reduce :args ((= @t314 @t311))) % 151.11/151.89 (step @p374 :rule cong :premises (@p373) :args (@t315)) % 151.11/151.89 (step @p375 :rule trans :premises (@p374 @p372)) % 151.11/151.89 (step @p376 :rule cong :premises (@p375) :args (@t316)) % 151.11/151.89 (step @p377 :rule beta-reduce :args ((= (_ @t180 @t313) @t316))) % 151.11/151.89 (step @p378 :rule trans :premises (@p377 @p376)) % 151.11/151.89 (step @p379 :rule beta-reduce :args ((= (_ (lambda @t181 @t312) @t1) @t312))) % 151.11/151.89 (step @p380 :rule nary_cong :premises (@p126 @p321) :args (@t317)) % 151.11/151.89 (step @p381 :rule cong :premises (@p380) :args (@t318)) % 151.11/151.89 (step @p382 :rule beta-reduce :args ((= (_ @t189 @t205) @t318))) % 151.11/151.89 (step @p383 :rule trans :premises (@p382 @p381)) % 151.11/151.89 (step @p384 :rule ho_cong :premises (@p176 @p160)) % 151.11/151.89 (step @p385 :rule trans :premises (@p384 @p383)) % 151.11/151.89 (step @p386 :rule ho_cong :premises (@p385 @p124)) % 151.11/151.89 (step @p387 :rule trans :premises (@p386 @p379)) % 151.11/151.89 (step @p388 :rule cong :premises (@p387) :args (@t319)) % 151.11/151.89 (step @p389 :rule ho_cong :premises (@p182 @p388)) % 151.11/151.89 (step @p390 :rule trans :premises (@p389 @p378)) % 151.11/151.89 (step @p391 :rule ho_cong :premises (@p185 @p390)) % 151.11/151.89 (step @p392 :rule trans :premises (@p391 @p361)) % 151.11/151.89 (step @p393 :rule cong :premises (@p392) :args ((not (_ @t156 (_ @t180 @t319))))) % 151.11/151.89 (step @p394 :rule ho_cong :premises (@p234 @p204)) % 151.11/151.89 (step @p395 :rule ho_cong :premises (@p394 @p124)) % 151.11/151.89 (step @p396 :rule cong :premises (@p395) :args (@t10)) % 151.11/151.89 (step @p397 :rule ho_cong :premises (@p245 @p396)) % 151.11/151.89 (step @p398 :rule ho_cong :premises (@p254 @p397)) % 151.11/151.89 (step @p399 :rule cong :premises (@p398) :args (@t11)) % 151.11/151.89 (step @p400 :rule trans :premises (@p399 @p393)) % 151.11/151.89 (step @p401 :rule trans :premises (@p400 @p355)) % 151.11/151.89 (step @p402 :rule eq_resolve :premises (@p10 @p401)) % 151.11/151.89 (step @p403 :rule skolemize :premises (@p402)) % 151.11/151.89 (step @p404 :rule bool-double-not-elim :args (@t320)) % 151.11/151.89 (step @p405 :rule refl :args (@t326)) % 151.11/151.89 (step @p406 :rule nary_cong :premises (@p405 @p404) :args ((or @t326 (not @t323)))) % 151.11/151.89 (step @p407 :rule cnf_or_neg :args (@t326 1)) % 151.11/151.89 (step @p408 :rule eq_resolve :premises (@p407 @p406)) % 151.11/151.89 (step @p409 :rule reordering :premises (@p408) :args ((or @t320 @t326))) % 151.11/151.89 (step @p410 :rule chain_m_resolution :premises (@p409 @p403) :args (@t320 @t327 @t328)) % 151.11/151.89 (step @p411 :rule instantiate :premises (@p77) :args ((@list @t133 @t134 @t290))) % 151.11/151.89 (step @p412 :rule cnf_or_pos :args (@t329)) % 151.11/151.89 (step @p413 :rule reordering :premises (@p412) :args ((or @t323 @t293 @t292 (not @t329)))) % 151.11/151.89 (step @p414 :rule chain_m_resolution :premises (@p413 @p411 @p410 @p354 @p353) :args (@t294 (@list false false true false) (@list @t329 @t320 @t292 @t291))) % 151.11/151.89 (step @p415 :rule refl :args (@t330)) % 151.11/151.89 (step @p416 :rule bool-double-not-elim :args (@t289)) % 151.11/151.89 (step @p417 :rule nary_cong :premises (@p416 @p415) :args ((or (not @t331) @t330))) % 151.11/151.89 (assume-push @p532 @t331) % 151.11/151.89 (step @p419 :rule skolemize :premises (@p532)) % 151.11/151.89 (step-pop @p533 :rule scope :premises (@p419)) % 151.11/151.89 (step @p420 :rule process_scope :premises (@p533) :args (@t330)) % 151.11/151.89 (step @p422 :rule implies_elim :premises (@p420)) % 151.11/151.89 (step @p423 :rule eq_resolve :premises (@p422 @p417)) % 151.11/151.89 (step @p424 :rule chain_m_resolution :premises (@p423 @p414) :args (@t289 @t245 (@list @t294))) % 151.11/151.89 ; trust TRUST PREPROCESS_HO_ELIM % 151.11/151.89 (step @p425 :rule trust :premises () :args ((= @t332 (forall @t65 (not (forall @t73 @t247)))))) % 151.11/151.89 (step @p426 :rule beta-reduce :args ((= (_ (lambda @t67 (forall @t65 (not (forall @t73 @t117)))) tptp.rb) @t332))) % 151.11/151.89 (step @p427 :rule cong :premises (@p61) :args (@t333)) % 151.11/151.89 (step @p428 :rule cong :premises (@p427) :args (@t334)) % 151.11/151.89 (step @p429 :rule exists-elim :args ((= @t74 @t334))) % 151.11/151.89 (step @p430 :rule trans :premises (@p429 @p428)) % 151.11/151.89 (step @p431 :rule cong :premises (@p430) :args (@t75)) % 151.11/151.89 (step @p432 :rule cong :premises (@p431) :args (@t76)) % 151.11/151.89 (step @p433 :rule trans :premises (@p30 @p432)) % 151.11/151.89 (step @p434 :rule ho_cong :premises (@p433 @p205)) % 151.11/151.89 (step @p435 :rule trans :premises (@p434 @p426)) % 151.11/151.89 (step @p436 :rule trans :premises (@p435 @p425)) % 151.11/151.89 (step @p437 :rule eq_resolve :premises (@p3 @p436)) % 151.11/151.89 (step @p438 :rule instantiate :premises (@p437) :args (@t335)) % 151.11/151.89 (step @p439 :rule refl :args (@t237)) % 151.11/151.89 (step @p440 :rule bool-double-not-elim :args (@t136)) % 151.11/151.89 (step @p441 :rule nary_cong :premises (@p440 @p439) :args ((or (not @t336) @t237))) % 151.11/151.89 (step @p442 :rule bool-double-not-elim :args (@t237)) % 151.11/151.89 (step @p443 :rule refl :args (@t336)) % 151.11/151.89 (step @p444 :rule cong :premises (@p443 @p442) :args ((=> @t336 @t337))) % 151.11/151.89 (assume-push @p534 @t336) % 151.11/151.89 (step @p446 :rule skolemize :premises (@p438)) % 151.11/151.89 (step-pop @p535 :rule scope :premises (@p446)) % 151.11/151.89 (step @p447 :rule process_scope :premises (@p535) :args (@t337)) % 151.11/151.89 (step @p449 :rule eq_resolve :premises (@p447 @p444)) % 151.11/151.89 (step @p450 :rule implies_elim :premises (@p449)) % 151.11/151.89 (step @p451 :rule eq_resolve :premises (@p450 @p441)) % 151.11/151.89 (step @p452 :rule chain_m_resolution :premises (@p451 @p438) :args (@t237 @t327 (@list @t136))) % 151.11/151.89 (step @p453 :rule cnf_or_pos :args (@t339)) % 151.11/151.89 (step @p454 :rule reordering :premises (@p453) :args ((or @t238 @t338 @t331 (not @t339)))) % 151.11/151.89 (step @p455 :rule chain_m_resolution :premises (@p454 @p452 @p424 @p347) :args (@t338 @t340 (@list @t237 @t289 @t339))) % 151.11/151.89 (step @p456 :rule cnf_or_pos :args (@t343)) % 151.11/151.89 (step @p457 :rule reordering :premises (@p456) :args ((or @t323 @t341 @t342 (not @t343)))) % 151.11/151.89 (step @p458 :rule chain_m_resolution :premises (@p457 @p410 @p455 @p289) :args (@t341 @t340 (@list @t320 @t338 @t343))) % 151.11/151.89 (step @p459 :rule bool-double-not-elim :args (@t324)) % 151.11/151.89 (step @p460 :rule nary_cong :premises (@p405 @p459) :args ((or @t326 (not @t325)))) % 151.11/151.89 (step @p461 :rule cnf_or_neg :args (@t326 0)) % 151.11/151.89 (step @p462 :rule eq_resolve :premises (@p461 @p460)) % 151.11/151.89 (step @p463 :rule reordering :premises (@p462) :args ((or @t324 @t326))) % 151.11/151.89 (step @p464 :rule chain_m_resolution :premises (@p463 @p403) :args (@t324 @t327 @t328)) % 151.11/151.89 (step @p465 :rule instantiate :premises (@p464) :args (@t335)) % 151.11/151.89 (step @p466 :rule cnf_or_neg :args (@t326 2)) % 151.11/151.89 (step @p467 :rule chain_m_resolution :premises (@p466 @p403) :args ((not @t322) @t327 @t328)) % 151.11/151.89 (step @p468 :rule cnf_or_pos :args (@t346)) % 151.11/151.89 (step @p469 :rule reordering :premises (@p468) :args ((or @t322 @t345 (not @t346)))) % 151.11/151.89 (step @p470 :rule chain_m_resolution :premises (@p469 @p467 @p465) :args (@t345 @t347 (@list @t322 @t346))) % 151.11/151.89 (step @p471 :rule cnf_or_pos :args (@t350)) % 151.11/151.89 (step @p472 :rule reordering :premises (@p471) :args ((or @t344 @t238 @t348 @t349 (not @t350)))) % 151.11/151.89 (step @p473 :rule chain_m_resolution :premises (@p472 @p470 @p452 @p458 @p288) :args (@t349 (@list true false false false) (@list @t344 @t237 @t341 @t350))) % 151.11/151.89 (step @p474 :rule refl :args (@t355)) % 151.11/151.89 (step @p475 :rule bool-double-not-elim :args (@t252)) % 151.11/151.89 (step @p476 :rule nary_cong :premises (@p475 @p474) :args ((or (not @t349) @t355))) % 151.11/151.89 (assume-push @p536 @t349) % 151.11/151.89 (step @p478 :rule skolemize :premises (@p536)) % 151.11/151.89 (step-pop @p537 :rule scope :premises (@p478)) % 151.11/151.89 (step @p479 :rule process_scope :premises (@p537) :args (@t355)) % 151.11/151.89 (step @p481 :rule implies_elim :premises (@p479)) % 151.11/151.89 (step @p482 :rule eq_resolve :premises (@p481 @p476)) % 151.11/151.89 (step @p483 :rule chain_m_resolution :premises (@p482 @p473) :args (@t355 @t327 (@list @t252))) % 151.11/151.89 (step @p484 :rule cnf_or_neg :args (@t354 1)) % 151.11/151.89 (step @p485 :rule chain_m_resolution :premises (@p484 @p483) :args ((not @t351) @t327 @t356)) % 151.11/151.89 (step @p486 :rule bool-double-not-elim :args (@t352)) % 151.11/151.89 (step @p487 :rule refl :args (@t354)) % 151.11/151.89 (step @p488 :rule nary_cong :premises (@p487 @p486) :args ((or @t354 (not @t353)))) % 151.11/151.89 (step @p489 :rule cnf_or_neg :args (@t354 0)) % 151.11/151.89 (step @p490 :rule eq_resolve :premises (@p489 @p488)) % 151.11/151.89 (step @p491 :rule reordering :premises (@p490) :args ((or @t352 @t354))) % 151.11/151.89 (step @p492 :rule chain_m_resolution :premises (@p491 @p483) :args (@t352 @t327 @t356)) % 151.11/151.89 (step @p493 :rule cnf_or_pos :args (@t358)) % 151.11/151.89 (step @p494 :rule reordering :premises (@p493) :args ((or @t353 @t351 @t357 (not @t358)))) % 151.11/151.89 (step @p495 :rule chain_m_resolution :premises (@p494 @p492 @p485 @p287) :args (@t357 @t359 (@list @t352 @t351 @t358))) % 151.11/151.89 (step @p496 :rule cnf_or_pos :args (@t239)) % 151.11/151.89 (step @p497 :rule reordering :premises (@p496) :args ((or @t238 @t233 @t236 (not @t239)))) % 151.11/151.89 (step @p498 :rule chain_m_resolution :premises (@p497 @p452 @p495 @p280) :args (@t236 @t359 (@list @t237 @t233 @t239))) % 151.11/151.89 (step @p499 :rule instantiate :premises (@p96) :args ((@list @t133 @t134 @t133))) % 151.11/151.89 ; trust TRUST PREPROCESS_HO_ELIM % 151.11/151.89 (step @p500 :rule trust :premises () :args ((= @t360 (forall @t65 (_ @t105 @t104 @t62))))) % 151.11/151.89 (step @p501 :rule beta-reduce :args ((= (_ (lambda @t67 (forall @t65 @t361)) tptp.rk) @t360))) % 151.11/151.89 (step @p502 :rule refl :args (@t361)) % 151.11/151.89 (step @p503 :rule refl :args (@t64)) % 151.11/151.89 (step @p504 :rule cong :premises (@p503 @p502) :args ((= @t64 @t361))) % 151.11/151.89 (step @p505 :rule symm :premises (@p504)) % 151.11/151.89 (step @p506 :rule eq_resolve :premises (@p503 @p505)) % 151.11/151.89 (step @p507 :rule cong :premises (@p506) :args (@t66)) % 151.11/151.89 (step @p508 :rule cong :premises (@p507) :args (@t68)) % 151.11/151.89 (step @p509 :rule trans :premises (@p28 @p508)) % 151.11/151.89 (step @p510 :rule ho_cong :premises (@p509 @p44)) % 151.11/151.89 (step @p511 :rule trans :premises (@p510 @p501)) % 151.11/151.89 (step @p512 :rule trans :premises (@p511 @p500)) % 151.11/151.89 (step @p513 :rule eq_resolve :premises (@p2 @p512)) % 151.11/151.89 (step @p514 :rule instantiate :premises (@p513) :args ((@list @t133))) % 151.11/151.89 (step @p515 :rule cnf_or_pos :args (@t365)) % 151.11/151.89 (step @p516 :rule reordering :premises (@p515) :args ((or @t323 @t364 @t362 (not @t365)))) % 151.11/151.89 (step @p517 :rule chain_m_resolution :premises (@p516 @p410 @p514 @p499) :args (@t362 @t340 (@list @t320 @t363 @t365))) % 151.11/151.89 (step @p518 :rule cnf_or_pos :args (@t369)) % 151.11/151.89 (step @p519 :rule reordering :premises (@p518) :args ((or @t366 @t235 @t368 (not @t369)))) % 151.11/151.89 (step @p520 :rule chain_m_resolution :premises (@p519 @p517 @p498 @p97) :args (@t368 @t359 (@list @t362 @t235 @t369))) % 151.11/151.89 (step @p521 :rule cnf_or_pos :args (@t370)) % 151.11/151.89 (step @p522 :rule reordering :premises (@p521) :args ((or @t366 @t342 @t367 @t371))) % 151.11/151.89 (step @p523 :rule chain_m_resolution :premises (@p522 @p517 @p455 @p520) :args (@t371 (@list false false true) (@list @t362 @t338 @t367))) % 151.11/151.89 (assume-push @p538 @t109) % 151.11/151.89 (step @p525 :rule instantiate :premises (@p77) :args ((@list @t134 @t133 @t137))) % 151.11/151.89 (step-pop @p539 :rule scope :premises (@p525)) % 151.11/151.89 (step @p526 :rule process_scope :premises (@p539) :args (@t370)) % 151.11/151.89 (step @p528 :rule implies_elim :premises (@p526)) % 151.11/151.89 (step @p529 false :rule chain_m_resolution :premises (@p528 @p523 @p77) :args (false @t347 (@list @t370 @t109))) % 151.11/151.89 ) % 151.11/151.89 % SZS output end Proof % 151.11/151.89 % cvc5 exiting %------------------------------------------------------------------------------