%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL709^1 : 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 : n018.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 11:23:40 AM UTC 2026 % Result : Theorem 0.19s 0.54s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL709^1 : 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 % 0.10/0.37 % Computer : n018.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Fri Sep 4 19:21:02 UTC 2026 % 0.10/0.37 % CPUTime : % 0.14/0.44 %----Proving TH0 % 0.19/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.19/0.54 % SZS status Theorem % 0.19/0.54 % SZS output start Proof % 0.19/0.54 ( % 0.19/0.54 (declare-sort $$unsorted 0) % 0.19/0.54 (declare-sort tptp.mu 0) % 0.19/0.54 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.19/0.54 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.19/0.54 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.19/0.54 (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)))))) % 0.19/0.54 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.19/0.54 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.19/0.54 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.19/0.54 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.19/0.54 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.19/0.54 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.19/0.54 (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))))))) % 0.19/0.54 (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))))))) % 0.19/0.54 (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)))))) % 0.19/0.54 (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)))))) % 0.19/0.54 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.19/0.54 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.19/0.54 (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)))))) % 0.19/0.54 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.19/0.54 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.19/0.54 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.19/0.54 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.19/0.54 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.19/0.54 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.19/0.54 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.19/0.54 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.19/0.54 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.19/0.54 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.19/0.54 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.19/0.54 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.19/0.54 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.19/0.54 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.19/0.54 (define @t1 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.19/0.54 (define @t2 () (@var "__flatten_var_0" $$unsorted)) % 0.19/0.54 (define @t3 () (@var "A" (-> $$unsorted Bool))) % 0.19/0.54 (define @t4 () (_ tptp.mbox @t1)) % 0.19/0.54 (define @t5 () (@list @t3 @t2)) % 0.19/0.54 (define @t6 () (lambda @t5 (_ (_ (_ tptp.mimplies (_ @t4 @t3)) @t3) @t2))) % 0.19/0.54 (define @t7 () (=> (_ tptp.mvalid (_ tptp.mforall_prop @t6)) (_ tptp.mreflexive @t1))) % 0.19/0.54 (define @t8 () (@list @t1)) % 0.19/0.54 (define @t9 () (forall @t8 @t7)) % 0.19/0.54 (define @t10 () (not @t9)) % 0.19/0.54 (define @t11 () (@var "Y" tptp.mu)) % 0.19/0.54 (define @t12 () (@var "X" tptp.mu)) % 0.19/0.54 (define @t13 () (@var "W" $$unsorted)) % 0.19/0.54 (define @t14 () (lambda (@list @t12 @t11 @t13) (= @t12 @t11))) % 0.19/0.54 (define @t15 () (@var "Y" (-> $$unsorted Bool))) % 0.19/0.54 (define @t16 () (@var "X" (-> $$unsorted Bool))) % 0.19/0.54 (define @t17 () (lambda (@list @t16 @t15 @t13) (= (_ @t16 @t13) (_ @t15 @t13)))) % 0.19/0.54 (define @t18 () (@var "Phi" (-> $$unsorted Bool))) % 0.19/0.54 (define @t19 () (_ @t18 @t13)) % 0.19/0.54 (define @t20 () (not @t19)) % 0.19/0.54 (define @t21 () (@list @t18 @t13)) % 0.19/0.54 (define @t22 () (lambda @t21 @t20)) % 0.19/0.54 (define @t23 () (@var "Psi" (-> $$unsorted Bool))) % 0.19/0.54 (define @t24 () (_ @t23 @t13)) % 0.19/0.54 (define @t25 () (lambda (@list @t18 @t23 @t13) (or @t19 @t24))) % 0.19/0.54 (define @t26 () (_ tptp.mnot @t23)) % 0.19/0.54 (define @t27 () (_ tptp.mnot @t18)) % 0.19/0.54 (define @t28 () (_ tptp.mor @t27)) % 0.19/0.54 (define @t29 () (@list @t18 @t23 @t2)) % 0.19/0.54 (define @t30 () (lambda @t29 (_ (_ tptp.mnot (_ @t28 @t26)) @t2))) % 0.19/0.54 (define @t31 () (lambda @t29 (_ (_ @t28 @t23) @t2))) % 0.19/0.54 (define @t32 () (lambda @t29 (_ (_ (_ tptp.mor @t26) @t18) @t2))) % 0.19/0.54 (define @t33 () (lambda @t29 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t18) @t23)) (_ (_ tptp.mimplies @t23) @t18)) @t2))) % 0.19/0.54 (define @t34 () (lambda @t29 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t18) @t23)) @t2))) % 0.19/0.54 (define @t35 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.19/0.54 (define @t36 () (_ @t35 @t12)) % 0.19/0.54 (define @t37 () (lambda (@list @t35 @t13) (forall (@list @t12) (_ @t36 @t13)))) % 0.19/0.54 (define @t38 () (@var "P" (-> $$unsorted Bool))) % 0.19/0.54 (define @t39 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.19/0.54 (define @t40 () (_ @t39 @t38)) % 0.19/0.54 (define @t41 () (_ @t40 @t13)) % 0.19/0.54 (define @t42 () (@list @t38)) % 0.19/0.54 (define @t43 () (forall @t42 @t41)) % 0.19/0.54 (define @t44 () (@list @t39 @t13)) % 0.19/0.54 (define @t45 () (lambda @t44 @t43)) % 0.19/0.54 (define @t46 () (lambda (@list @t35 @t2) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t12 @t2) (_ (_ tptp.mnot @t36) @t2)))) @t2))) % 0.19/0.54 (define @t47 () (lambda (@list @t39 @t2) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t38 @t2) (_ (_ tptp.mnot @t40) @t2)))) @t2))) % 0.19/0.54 (define @t48 () (@list @t13)) % 0.19/0.54 (define @t49 () (lambda @t48 true)) % 0.19/0.54 (define @t50 () (@var "V" $$unsorted)) % 0.19/0.54 (define @t51 () (_ @t18 @t50)) % 0.19/0.54 (define @t52 () (_ (_ @t1 @t13) @t50)) % 0.19/0.54 (define @t53 () (not @t52)) % 0.19/0.54 (define @t54 () (or @t53 @t51)) % 0.19/0.54 (define @t55 () (@list @t50)) % 0.19/0.54 (define @t56 () (forall @t55 @t54)) % 0.19/0.54 (define @t57 () (@list @t1 @t18 @t13)) % 0.19/0.54 (define @t58 () (lambda @t57 @t56)) % 0.19/0.54 (define @t59 () (lambda (@list @t1 @t18 @t2) (_ (_ tptp.mnot (_ @t4 @t27)) @t2))) % 0.19/0.54 (define @t60 () (@var "S" $$unsorted)) % 0.19/0.54 (define @t61 () (_ @t1 @t60)) % 0.19/0.54 (define @t62 () (_ @t61 @t60)) % 0.19/0.54 (define @t63 () (@list @t60)) % 0.19/0.54 (define @t64 () (forall @t63 @t62)) % 0.19/0.54 (define @t65 () (lambda @t8 @t64)) % 0.19/0.54 (define @t66 () (@var "T" $$unsorted)) % 0.19/0.54 (define @t67 () (_ @t1 @t66)) % 0.19/0.54 (define @t68 () (_ @t61 @t66)) % 0.19/0.54 (define @t69 () (lambda @t8 (forall (@list @t60 @t66) (=> @t68 (_ @t67 @t60))))) % 0.19/0.54 (define @t70 () (@list @t66)) % 0.19/0.54 (define @t71 () (lambda @t8 (forall @t63 (exists @t70 @t68)))) % 0.19/0.54 (define @t72 () (@var "U" $$unsorted)) % 0.19/0.54 (define @t73 () (_ @t61 @t72)) % 0.19/0.54 (define @t74 () (_ @t67 @t72)) % 0.19/0.54 (define @t75 () (@list @t60 @t66 @t72)) % 0.19/0.54 (define @t76 () (lambda @t8 (forall @t75 (=> (and @t68 @t74) @t73)))) % 0.19/0.54 (define @t77 () (and @t68 @t73)) % 0.19/0.54 (define @t78 () (lambda @t8 (forall @t75 (=> @t77 @t74)))) % 0.19/0.54 (define @t79 () (= @t66 @t72)) % 0.19/0.54 (define @t80 () (lambda @t8 (forall @t75 (=> @t77 @t79)))) % 0.19/0.54 (define @t81 () (@list @t72)) % 0.19/0.54 (define @t82 () (lambda @t8 (forall @t63 (exists @t70 (and @t68 (forall @t81 (=> @t73 @t79))))))) % 0.19/0.54 (define @t83 () (_ @t1 @t72)) % 0.19/0.54 (define @t84 () (_ @t83 @t66)) % 0.19/0.54 (define @t85 () (lambda @t8 (forall @t75 (=> @t68 (exists @t81 (and @t73 @t84)))))) % 0.19/0.54 (define @t86 () (lambda @t8 (forall @t75 (=> @t77 (or @t74 @t79 @t84))))) % 0.19/0.54 (define @t87 () (lambda @t8 (forall @t75 (=> @t77 (exists @t55 (and (_ @t67 @t50) (_ @t83 @t50))))))) % 0.19/0.54 (define @t88 () (forall @t48 @t19)) % 0.19/0.54 (define @t89 () (@list @t18)) % 0.19/0.54 (define @t90 () (lambda @t89 @t88)) % 0.19/0.54 (define @t91 () (lambda @t89 (forall @t48 @t20))) % 0.19/0.54 (define @t92 () (lambda @t89 (exists @t48 @t19))) % 0.19/0.54 (define @t93 () (lambda @t89 (exists @t48 @t20))) % 0.19/0.54 (define @t94 () (@var "BOUND_VARIABLE_8388" $$unsorted)) % 0.19/0.54 (define @t95 () (_ @t1 @t94 @t94)) % 0.19/0.54 (define @t96 () (_ @t38 @t13)) % 0.19/0.54 (define @t97 () (_ @t38 @t50)) % 0.19/0.54 (define @t98 () (_ @t1 @t13 @t50)) % 0.19/0.54 (define @t99 () (not @t98)) % 0.19/0.54 (define @t100 () (not (forall @t55 (or @t99 @t97)))) % 0.19/0.54 (define @t101 () (or @t100 @t96)) % 0.19/0.54 (define @t102 () (@list @t13 @t38)) % 0.19/0.54 (define @t103 () (forall @t102 @t101)) % 0.19/0.54 (define @t104 () (not @t103)) % 0.19/0.54 (define @t105 () (or @t104 @t95)) % 0.19/0.54 (define @t106 () (forall (@list @t1 @t94) @t105)) % 0.19/0.54 (define @t107 () (@list @t94)) % 0.19/0.54 (define @t108 () (forall @t107 @t105)) % 0.19/0.54 (define @t109 () (forall @t107 @t95)) % 0.19/0.54 (define @t110 () (or @t104 @t109)) % 0.19/0.54 (define @t111 () (_ @t1 @t60 @t60)) % 0.19/0.54 (define @t112 () (forall @t63 @t111)) % 0.19/0.54 (define @t113 () (_ (lambda @t8 @t112) @t1)) % 0.19/0.54 (define @t114 () (forall @t42 @t101)) % 0.19/0.54 (define @t115 () (lambda @t48 @t114)) % 0.19/0.54 (define @t116 () (_ @t115 @t13)) % 0.19/0.54 (define @t117 () (forall @t48 @t116)) % 0.19/0.54 (define @t118 () (_ @t18 @t13)) % 0.19/0.54 (define @t119 () (lambda @t89 (forall @t48 @t118))) % 0.19/0.54 (define @t120 () (_ @t38 @t13)) % 0.19/0.54 (define @t121 () (or @t100 @t120)) % 0.19/0.54 (define @t122 () (_ @t3 @t50)) % 0.19/0.54 (define @t123 () (forall @t55 (or (not (_ @t1 @t2 @t50)) @t122))) % 0.19/0.54 (define @t124 () (not @t123)) % 0.19/0.54 (define @t125 () (or @t124 (_ @t3 @t2))) % 0.19/0.54 (define @t126 () (lambda @t5 @t125)) % 0.19/0.54 (define @t127 () (_ @t126 @t38 @t13)) % 0.19/0.54 (define @t128 () (forall @t42 @t127)) % 0.19/0.54 (define @t129 () (lambda @t48 @t128)) % 0.19/0.54 (define @t130 () (_ @t39 @t38 @t13)) % 0.19/0.54 (define @t131 () (lambda @t44 (forall @t42 @t130))) % 0.19/0.54 (define @t132 () (lambda (@list @t2) @t125)) % 0.19/0.54 (define @t133 () (_ @t23 @t2)) % 0.19/0.54 (define @t134 () (@list @t23 @t2)) % 0.19/0.54 (define @t135 () (lambda @t48 (forall @t55 (or @t99 @t122)))) % 0.19/0.54 (define @t136 () (_ @t135 @t2)) % 0.19/0.54 (define @t137 () (not @t136)) % 0.19/0.54 (define @t138 () (or @t137 @t133)) % 0.19/0.54 (define @t139 () (lambda @t134 @t138)) % 0.19/0.54 (define @t140 () (or (not (_ @t18 @t2)) @t133)) % 0.19/0.54 (define @t141 () (lambda @t29 @t140)) % 0.19/0.54 (define @t142 () (_ @t18 @t50)) % 0.19/0.54 (define @t143 () (forall @t55 (or @t99 @t142))) % 0.19/0.54 (define @t144 () (lambda @t21 @t143)) % 0.19/0.54 (define @t145 () (_ (lambda @t57 @t143) @t1)) % 0.19/0.54 (define @t146 () (lambda @t5 (_ (_ (_ @t141 (_ @t145 @t3)) @t3) @t2))) % 0.19/0.54 (define @t147 () (=> (_ @t119 (_ @t131 @t146)) @t113)) % 0.19/0.54 (define @t148 () (forall @t8 @t147)) % 0.19/0.54 (define @t149 () (or @t20 @t24)) % 0.19/0.54 (define @t150 () (lambda @t48 @t149)) % 0.19/0.54 (define @t151 () (@list @t23 @t13)) % 0.19/0.54 (define @t152 () (lambda @t48 @t20)) % 0.19/0.54 (define @t153 () (_ @t152 @t13)) % 0.19/0.54 (define @t154 () (or @t153 @t24)) % 0.19/0.54 (define @t155 () (lambda @t151 @t154)) % 0.19/0.54 (define @t156 () (@quantifiers_skolemize @t106 0)) % 0.19/0.54 (define @t157 () (forall @t102 (or (not (forall @t55 (or (not (_ @t156 @t13 @t50)) @t97))) @t96))) % 0.19/0.54 (define @t158 () (@quantifiers_skolemize @t106 1)) % 0.19/0.54 (define @t159 () (_ @t156 @t158 @t158)) % 0.19/0.54 (define @t160 () (not @t157)) % 0.19/0.54 (define @t161 () (or @t160 @t159)) % 0.19/0.54 (define @t162 () (@list true)) % 0.19/0.54 (define @t163 () (@list @t161)) % 0.19/0.54 (define @t164 () (_ @t156 @t158)) % 0.19/0.54 (define @t165 () (_ @t164 @t158)) % 0.19/0.54 (define @t166 () (_ @t164 @t158)) % 0.19/0.54 (define @t167 () (_ @t156 @t158 @t50)) % 0.19/0.54 (define @t168 () (not @t167)) % 0.19/0.54 (define @t169 () (_ @t164 @t50)) % 0.19/0.54 (define @t170 () (or @t168 @t169)) % 0.19/0.54 (define @t171 () (_ @t164 @t50)) % 0.19/0.54 (define @t172 () (or @t168 @t171)) % 0.19/0.55 (define @t173 () (forall @t55 @t172)) % 0.19/0.55 (define @t174 () (not @t173)) % 0.19/0.55 (define @t175 () (or @t174 @t166)) % 0.19/0.55 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.19/0.55 (assume @p2 @t10) % 0.19/0.55 (assume @p3 true) % 0.19/0.55 (step @p4 (= tptp.meq_ind @t14) :rule refl :args (@t14)) % 0.19/0.55 (step @p5 (= tptp.meq_prop @t17) :rule refl :args (@t17)) % 0.19/0.55 (step @p6 (= tptp.mnot @t22) :rule refl :args (@t22)) % 0.19/0.55 (step @p7 (= tptp.mor @t25) :rule refl :args (@t25)) % 0.19/0.55 (step @p8 (= tptp.mand @t30) :rule refl :args (@t30)) % 0.19/0.55 (step @p9 (= tptp.mimplies @t31) :rule refl :args (@t31)) % 0.19/0.55 (step @p10 (= tptp.mimplied @t32) :rule refl :args (@t32)) % 0.19/0.55 (step @p11 (= tptp.mequiv @t33) :rule refl :args (@t33)) % 0.19/0.55 (step @p12 (= tptp.mxor @t34) :rule refl :args (@t34)) % 0.19/0.55 (step @p13 (= tptp.mforall_ind @t37) :rule refl :args (@t37)) % 0.19/0.55 (step @p14 (= tptp.mforall_prop @t45) :rule refl :args (@t45)) % 0.19/0.55 (step @p15 (= tptp.mexists_ind @t46) :rule refl :args (@t46)) % 0.19/0.55 (step @p16 (= tptp.mexists_prop @t47) :rule refl :args (@t47)) % 0.19/0.55 (step @p17 (= tptp.mtrue @t49) :rule refl :args (@t49)) % 0.19/0.55 (step @p18 (= tptp.mbox @t58) :rule refl :args (@t58)) % 0.19/0.55 (step @p19 (= tptp.mdia @t59) :rule refl :args (@t59)) % 0.19/0.55 (step @p20 (= tptp.mreflexive @t65) :rule refl :args (@t65)) % 0.19/0.55 (step @p21 (= tptp.msymmetric @t69) :rule refl :args (@t69)) % 0.19/0.55 (step @p22 (= tptp.mserial @t71) :rule refl :args (@t71)) % 0.19/0.55 (step @p23 (= tptp.mtransitive @t76) :rule refl :args (@t76)) % 0.19/0.55 (step @p24 (= tptp.meuclidean @t78) :rule refl :args (@t78)) % 0.19/0.55 (step @p25 (= tptp.mpartially_functional @t80) :rule refl :args (@t80)) % 0.19/0.55 (step @p26 (= tptp.mfunctional @t82) :rule refl :args (@t82)) % 0.19/0.55 (step @p27 (= tptp.mweakly_dense @t85) :rule refl :args (@t85)) % 0.19/0.55 (step @p28 (= tptp.mweakly_connected @t86) :rule refl :args (@t86)) % 0.19/0.55 (step @p29 (= tptp.mweakly_directed @t87) :rule refl :args (@t87)) % 0.19/0.55 (step @p30 (= tptp.mvalid @t90) :rule refl :args (@t90)) % 0.19/0.55 (step @p31 (= tptp.minvalid @t91) :rule refl :args (@t91)) % 0.19/0.55 (step @p32 (= tptp.msatisfiable @t92) :rule refl :args (@t92)) % 0.19/0.55 (step @p33 (= tptp.mcountersatisfiable @t93) :rule refl :args (@t93)) % 0.19/0.55 (step @p34 :rule quant-merge-prenex :args ((= (forall @t8 @t108) @t106))) % 0.19/0.55 (step @p35 :rule alpha_equiv :args (@t109 (@list @t94) (@list @t60))) % 0.19/0.55 (step @p36 :rule refl :args (@t104)) % 0.19/0.55 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t110)) % 0.19/0.55 (step @p38 :rule quant-miniscope-or :args ((= @t108 @t110))) % 0.19/0.55 (step @p39 :rule trans :premises (@p38 @p37)) % 0.19/0.55 (step @p40 :rule symm :premises (@p39)) % 0.19/0.55 (step @p41 :rule cong :premises (@p40) :args ((forall @t8 (or @t104 @t112)))) % 0.19/0.55 (step @p42 :rule trans :premises (@p41 @p34)) % 0.19/0.55 (step @p43 :rule bool-impl-elim :args (@t103 @t112)) % 0.19/0.55 (step @p44 :rule cong :premises (@p43) :args ((forall @t8 (=> @t103 @t112)))) % 0.19/0.55 (step @p45 :rule trans :premises (@p44 @p42)) % 0.19/0.55 (step @p46 :rule beta-reduce :args ((= @t113 @t112))) % 0.19/0.55 (step @p47 :rule quant-merge-prenex :args ((= (forall @t48 @t114) @t103))) % 0.19/0.55 (step @p48 :rule beta-reduce :args ((= @t116 @t114))) % 0.19/0.55 (step @p49 :rule cong :premises (@p48) :args (@t117)) % 0.19/0.55 (step @p50 :rule trans :premises (@p49 @p47)) % 0.19/0.55 (step @p51 :rule beta-reduce :args ((= (_ @t119 @t115) @t117))) % 0.19/0.55 (step @p52 :rule trans :premises (@p51 @p50)) % 0.19/0.55 (step @p53 :rule refl :args (@t96)) % 0.19/0.55 (step @p54 :rule refl :args (@t120)) % 0.19/0.55 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t120 @t96))) % 0.19/0.55 (step @p56 :rule symm :premises (@p55)) % 0.19/0.55 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.19/0.55 (step @p58 :rule refl :args (@t100)) % 0.19/0.55 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t121)) % 0.19/0.55 (step @p60 :rule cong :premises (@p59) :args ((forall @t42 @t121))) % 0.19/0.55 (step @p61 :rule beta-reduce :args ((= @t127 @t121))) % 0.19/0.55 (step @p62 :rule cong :premises (@p61) :args (@t128)) % 0.19/0.55 (step @p63 :rule trans :premises (@p62 @p60)) % 0.19/0.55 (step @p64 :rule cong :premises (@p63) :args (@t129)) % 0.19/0.55 (step @p65 :rule beta-reduce :args ((= (_ @t131 @t126) @t129))) % 0.19/0.55 (step @p66 :rule trans :premises (@p65 @p64)) % 0.19/0.55 (step @p67 :rule beta-reduce :args ((= (_ @t132 @t2) @t125))) % 0.19/0.55 (step @p68 :rule refl :args (@t2)) % 0.19/0.55 (step @p69 :rule beta-reduce :args ((= (_ (lambda @t134 (or @t124 @t133)) @t3) @t132))) % 0.19/0.55 (step @p70 :rule refl :args (@t3)) % 0.19/0.55 (step @p71 :rule refl :args (@t133)) % 0.19/0.55 (step @p72 :rule beta-reduce :args ((= @t136 @t123))) % 0.19/0.55 (step @p73 :rule cong :premises (@p72) :args (@t137)) % 0.19/0.55 (step @p74 :rule nary_cong :premises (@p73 @p71) :args (@t138)) % 0.19/0.55 (step @p75 :rule cong :premises (@p74) :args (@t139)) % 0.19/0.55 (step @p76 :rule beta-reduce :args ((= (_ @t141 @t135) @t139))) % 0.19/0.55 (step @p77 :rule trans :premises (@p76 @p75)) % 0.19/0.55 (step @p78 :rule beta-reduce :args ((= (_ @t144 @t3) @t135))) % 0.19/0.55 (step @p79 :rule beta-reduce :args ((= @t145 @t144))) % 0.19/0.55 (step @p80 :rule ho_cong :premises (@p79 @p70)) % 0.19/0.55 (step @p81 :rule trans :premises (@p80 @p78)) % 0.19/0.55 (step @p82 :rule refl :args (@t141)) % 0.19/0.55 (step @p83 :rule ho_cong :premises (@p82 @p81)) % 0.19/0.55 (step @p84 :rule trans :premises (@p83 @p77)) % 0.19/0.55 (step @p85 :rule ho_cong :premises (@p84 @p70)) % 0.19/0.55 (step @p86 :rule trans :premises (@p85 @p69)) % 0.19/0.55 (step @p87 :rule ho_cong :premises (@p86 @p68)) % 0.19/0.55 (step @p88 :rule trans :premises (@p87 @p67)) % 0.19/0.55 (step @p89 :rule cong :premises (@p88) :args (@t146)) % 0.19/0.55 (step @p90 :rule refl :args (@t131)) % 0.19/0.55 (step @p91 :rule ho_cong :premises (@p90 @p89)) % 0.19/0.55 (step @p92 :rule trans :premises (@p91 @p66)) % 0.19/0.55 (step @p93 :rule refl :args (@t119)) % 0.19/0.55 (step @p94 :rule ho_cong :premises (@p93 @p92)) % 0.19/0.55 (step @p95 :rule trans :premises (@p94 @p52)) % 0.19/0.55 (step @p96 :rule cong :premises (@p95 @p46) :args (@t147)) % 0.19/0.55 (step @p97 :rule cong :premises (@p96) :args (@t148)) % 0.19/0.55 (step @p98 :rule trans :premises (@p97 @p45)) % 0.19/0.55 (step @p99 :rule cong :premises (@p98) :args ((not @t148))) % 0.19/0.55 (step @p100 :rule refl :args (@t1)) % 0.19/0.55 (step @p101 :rule refl :args (@t111)) % 0.19/0.55 (step @p102 :rule refl :args (@t62)) % 0.19/0.55 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t62 @t111))) % 0.19/0.55 (step @p104 :rule symm :premises (@p103)) % 0.19/0.55 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 0.19/0.55 (step @p106 :rule cong :premises (@p105) :args (@t64)) % 0.19/0.55 (step @p107 :rule cong :premises (@p106) :args (@t65)) % 0.19/0.55 (step @p108 :rule trans :premises (@p20 @p107)) % 0.19/0.55 (step @p109 :rule ho_cong :premises (@p108 @p100)) % 0.19/0.55 (step @p110 :rule refl :args (@t142)) % 0.19/0.55 (step @p111 :rule refl :args (@t51)) % 0.19/0.55 (step @p112 :rule cong :premises (@p111 @p110) :args ((= @t51 @t142))) % 0.19/0.55 (step @p113 :rule symm :premises (@p112)) % 0.19/0.55 (step @p114 :rule eq_resolve :premises (@p111 @p113)) % 0.19/0.55 (step @p115 :rule refl :args (@t98)) % 0.19/0.55 (step @p116 :rule refl :args (@t52)) % 0.19/0.55 (step @p117 :rule cong :premises (@p116 @p115) :args ((= @t52 @t98))) % 0.19/0.55 (step @p118 :rule symm :premises (@p117)) % 0.19/0.55 (step @p119 :rule eq_resolve :premises (@p116 @p118)) % 0.19/0.55 (step @p120 :rule cong :premises (@p119) :args (@t53)) % 0.19/0.55 (step @p121 :rule nary_cong :premises (@p120 @p114) :args (@t54)) % 0.19/0.55 (step @p122 :rule cong :premises (@p121) :args (@t56)) % 0.19/0.55 (step @p123 :rule cong :premises (@p122) :args (@t58)) % 0.19/0.55 (step @p124 :rule trans :premises (@p18 @p123)) % 0.19/0.55 (step @p125 :rule ho_cong :premises (@p124 @p100)) % 0.19/0.55 (step @p126 :rule ho_cong :premises (@p125 @p70)) % 0.19/0.55 (step @p127 :rule beta-reduce :args ((= (_ @t150 @t2) @t140))) % 0.19/0.55 (step @p128 :rule beta-reduce :args ((= (_ (lambda @t151 @t149) @t23) @t150))) % 0.19/0.55 (step @p129 :rule refl :args (@t23)) % 0.19/0.55 (step @p130 :rule refl :args (@t24)) % 0.19/0.55 (step @p131 :rule beta-reduce :args ((= @t153 @t20))) % 0.19/0.55 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t154)) % 0.19/0.55 (step @p133 :rule cong :premises (@p132) :args (@t155)) % 0.19/0.55 (step @p134 :rule beta-reduce :args ((= (_ @t25 @t152) @t155))) % 0.19/0.55 (step @p135 :rule trans :premises (@p134 @p133)) % 0.19/0.55 (step @p136 :rule beta-reduce :args ((= (_ @t22 @t18) @t152))) % 0.19/0.55 (step @p137 :rule refl :args (@t25)) % 0.19/0.55 (step @p138 :rule ho_cong :premises (@p137 @p136)) % 0.19/0.55 (step @p139 :rule trans :premises (@p138 @p135)) % 0.19/0.55 (step @p140 :rule ho_cong :premises (@p139 @p129)) % 0.19/0.55 (step @p141 :rule trans :premises (@p140 @p128)) % 0.19/0.55 (step @p142 :rule ho_cong :premises (@p141 @p68)) % 0.19/0.55 (step @p143 :rule trans :premises (@p142 @p127)) % 0.19/0.55 (step @p144 :rule refl :args (@t18)) % 0.19/0.55 (step @p145 :rule ho_cong :premises (@p6 @p144)) % 0.19/0.55 (step @p146 :rule ho_cong :premises (@p7 @p145)) % 0.19/0.55 (step @p147 :rule ho_cong :premises (@p146 @p129)) % 0.19/0.55 (step @p148 :rule ho_cong :premises (@p147 @p68)) % 0.19/0.55 (step @p149 :rule trans :premises (@p148 @p143)) % 0.19/0.55 (step @p150 :rule cong :premises (@p149) :args (@t31)) % 0.19/0.55 (step @p151 :rule trans :premises (@p9 @p150)) % 0.19/0.55 (step @p152 :rule ho_cong :premises (@p151 @p126)) % 0.19/0.55 (step @p153 :rule ho_cong :premises (@p152 @p70)) % 0.19/0.55 (step @p154 :rule ho_cong :premises (@p153 @p68)) % 0.19/0.55 (step @p155 :rule cong :premises (@p154) :args (@t6)) % 0.19/0.55 (step @p156 :rule refl :args (@t130)) % 0.19/0.55 (step @p157 :rule refl :args (@t41)) % 0.19/0.55 (step @p158 :rule cong :premises (@p157 @p156) :args ((= @t41 @t130))) % 0.19/0.55 (step @p159 :rule symm :premises (@p158)) % 0.19/0.55 (step @p160 :rule eq_resolve :premises (@p157 @p159)) % 0.19/0.55 (step @p161 :rule cong :premises (@p160) :args (@t43)) % 0.19/0.55 (step @p162 :rule cong :premises (@p161) :args (@t45)) % 0.19/0.55 (step @p163 :rule trans :premises (@p14 @p162)) % 0.19/0.55 (step @p164 :rule ho_cong :premises (@p163 @p155)) % 0.19/0.55 (step @p165 :rule refl :args (@t118)) % 0.19/0.55 (step @p166 :rule refl :args (@t19)) % 0.19/0.55 (step @p167 :rule cong :premises (@p166 @p165) :args ((= @t19 @t118))) % 0.19/0.55 (step @p168 :rule symm :premises (@p167)) % 0.19/0.55 (step @p169 :rule eq_resolve :premises (@p166 @p168)) % 0.19/0.55 (step @p170 :rule cong :premises (@p169) :args (@t88)) % 0.19/0.55 (step @p171 :rule cong :premises (@p170) :args (@t90)) % 0.19/0.55 (step @p172 :rule trans :premises (@p30 @p171)) % 0.19/0.55 (step @p173 :rule ho_cong :premises (@p172 @p164)) % 0.19/0.55 (step @p174 :rule cong :premises (@p173 @p109) :args (@t7)) % 0.19/0.55 (step @p175 :rule cong :premises (@p174) :args (@t9)) % 0.19/0.55 (step @p176 :rule cong :premises (@p175) :args (@t10)) % 0.19/0.55 (step @p177 :rule trans :premises (@p176 @p99)) % 0.19/0.55 (step @p178 :rule eq_resolve :premises (@p2 @p177)) % 0.19/0.55 (step @p179 :rule skolemize :premises (@p178)) % 0.19/0.55 (step @p180 :rule bool-double-not-elim :args (@t157)) % 0.19/0.55 (step @p181 :rule refl :args (@t161)) % 0.19/0.55 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or @t161 (not @t160)))) % 0.19/0.55 (step @p183 :rule cnf_or_neg :args (@t161 0)) % 0.19/0.55 (step @p184 :rule eq_resolve :premises (@p183 @p182)) % 0.19/0.55 (step @p185 :rule reordering :premises (@p184) :args ((or @t157 @t161))) % 0.19/0.55 (step @p186 :rule chain_m_resolution :premises (@p185 @p179) :args (@t157 @t162 @t163)) % 0.19/0.55 (step @p187 :rule cnf_or_neg :args (@t161 1)) % 0.19/0.55 (step @p188 :rule chain_m_resolution :premises (@p187 @p179) :args ((not @t159) @t162 @t163)) % 0.19/0.55 (step @p189 :rule refl :args (@t159)) % 0.19/0.55 (step @p190 :rule refl :args (@t165)) % 0.19/0.55 (step @p191 :rule cong :premises (@p190 @p189) :args ((= @t165 @t159))) % 0.19/0.55 (step @p192 :rule symm :premises (@p191)) % 0.19/0.55 (step @p193 :rule eq_resolve :premises (@p190 @p192)) % 0.19/0.55 (step @p194 :rule refl :args (@t157)) % 0.19/0.55 (step @p195 :rule cong :premises (@p194 @p193) :args ((=> @t157 @t165))) % 0.19/0.55 (step @p196 :rule aci_norm :args ((= (or false @t165) @t165))) % 0.19/0.55 (step @p197 :rule refl :args (@t166)) % 0.19/0.55 (step @p198 :rule evaluate :args ((not true))) % 0.19/0.55 (step @p199 :rule quant-unused-vars :args ((= (forall @t55 true) true))) % 0.19/0.55 (step @p200 :rule bool-or-taut2 :args (false @t167 false false)) % 0.19/0.55 (step @p201 :rule cong :premises (@p200) :args ((forall @t55 (or @t168 @t167)))) % 0.19/0.55 (step @p202 :rule trans :premises (@p201 @p199)) % 0.19/0.55 (step @p203 :rule refl :args (@t167)) % 0.19/0.55 (step @p204 :rule refl :args (@t169)) % 0.19/0.55 (step @p205 :rule cong :premises (@p204 @p203) :args ((= @t169 @t167))) % 0.19/0.55 (step @p206 :rule symm :premises (@p205)) % 0.19/0.55 (step @p207 :rule eq_resolve :premises (@p204 @p206)) % 0.19/0.55 (step @p208 :rule refl :args (@t168)) % 0.19/0.55 (step @p209 :rule nary_cong :premises (@p208 @p207) :args (@t170)) % 0.19/0.55 (step @p210 :rule cong :premises (@p209) :args ((forall @t55 @t170))) % 0.19/0.55 (step @p211 :rule trans :premises (@p210 @p202)) % 0.19/0.55 (step @p212 :rule refl :args (@t171)) % 0.19/0.55 (step @p213 :rule refl :args (@t168)) % 0.19/0.55 (step @p214 :rule nary_cong :premises (@p213 @p212) :args (@t172)) % 0.19/0.55 (step @p215 :rule cong :premises (@p214) :args (@t173)) % 0.19/0.55 (step @p216 :rule trans :premises (@p215 @p211)) % 0.19/0.55 (step @p217 :rule cong :premises (@p216) :args (@t174)) % 0.19/0.55 (step @p218 :rule trans :premises (@p217 @p198)) % 0.19/0.55 (step @p219 :rule nary_cong :premises (@p218 @p197) :args (@t175)) % 0.19/0.55 (step @p220 :rule trans :premises (@p219 @p196)) % 0.19/0.55 (step @p221 :rule cong :premises (@p194 @p220) :args ((=> @t157 @t175))) % 0.19/0.55 (assume-push @p230 @t157) % 0.19/0.55 (step @p223 :rule instantiate :premises (@p186) :args ((@list @t158 @t164))) % 0.19/0.55 (step-pop @p231 :rule scope :premises (@p223)) % 0.19/0.55 (step @p224 :rule process_scope :premises (@p231) :args (@t175)) % 0.19/0.55 (step @p226 :rule eq_resolve :premises (@p224 @p221)) % 0.19/0.55 (step @p227 :rule eq_resolve :premises (@p226 @p195)) % 0.19/0.55 (step @p228 :rule implies_elim :premises (@p227)) % 0.19/0.55 (step @p229 false :rule chain_m_resolution :premises (@p228 @p188 @p186) :args (false (@list true false) (@list @t159 @t157))) % 0.19/0.55 ) % 0.19/0.55 % SZS output end Proof % 0.19/0.55 % cvc5 exiting %------------------------------------------------------------------------------