%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO932^10 : TPTP v9.2.1. 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 : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:13:49 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO932^10 : TPTP v9.2.1. Bugfixed v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 01:10:14 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.38/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-sort tptp.mu 0) % 0.38/0.59 (declare-const tptp.r (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.p (-> tptp.mu $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.38/0.59 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.38/0.59 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.38/0.59 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.38/0.59 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.38/0.59 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.38/0.59 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.59 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.38/0.59 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.38/0.59 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.38/0.59 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.38/0.59 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.38/0.59 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.38/0.59 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.38/0.59 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.38/0.59 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.38/0.59 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.38/0.59 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.38/0.59 (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)))))))) % 0.38/0.59 (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)))))))) % 0.38/0.59 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.38/0.59 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.38/0.59 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.38/0.59 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.38/0.59 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.38/0.59 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.38/0.59 (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))))))))))))) % 0.38/0.59 (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)))))) % 0.38/0.59 (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))))))) % 0.38/0.59 (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)))))) % 0.38/0.59 (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))))))) % 0.38/0.59 (define @t1 () (@var "__flatten_var_0" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "X" tptp.mu)) % 0.38/0.59 (define @t3 () (_ tptp.p @t2)) % 0.38/0.59 (define @t4 () (_ tptp.mbox tptp.r)) % 0.38/0.59 (define @t5 () (@list @t2 @t1)) % 0.38/0.59 (define @t6 () (lambda @t5 (_ (_ @t4 @t3) @t1))) % 0.38/0.59 (define @t7 () (lambda @t5 (_ @t3 @t1))) % 0.38/0.59 (define @t8 () (not (_ tptp.mvalid (_ (_ tptp.mimplies (_ @t4 (_ tptp.mforall_ind @t7))) (_ tptp.mforall_ind @t6))))) % 0.38/0.59 (define @t9 () (@var "Y" tptp.mu)) % 0.38/0.59 (define @t10 () (@var "W" $$unsorted)) % 0.38/0.59 (define @t11 () (lambda (@list @t2 @t9 @t10) (= @t2 @t9))) % 0.38/0.59 (define @t12 () (@var "Y" (-> $$unsorted Bool))) % 0.38/0.59 (define @t13 () (@var "X" (-> $$unsorted Bool))) % 0.38/0.59 (define @t14 () (lambda (@list @t13 @t12 @t10) (= (_ @t13 @t10) (_ @t12 @t10)))) % 0.38/0.59 (define @t15 () (@var "Phi" (-> $$unsorted Bool))) % 0.38/0.59 (define @t16 () (_ @t15 @t10)) % 0.38/0.59 (define @t17 () (not @t16)) % 0.38/0.59 (define @t18 () (@list @t15 @t10)) % 0.38/0.59 (define @t19 () (lambda @t18 @t17)) % 0.38/0.59 (define @t20 () (@var "Psi" (-> $$unsorted Bool))) % 0.38/0.59 (define @t21 () (_ @t20 @t10)) % 0.38/0.59 (define @t22 () (lambda (@list @t15 @t20 @t10) (or @t16 @t21))) % 0.38/0.59 (define @t23 () (_ tptp.mnot @t20)) % 0.38/0.59 (define @t24 () (_ tptp.mnot @t15)) % 0.38/0.59 (define @t25 () (_ tptp.mor @t24)) % 0.38/0.59 (define @t26 () (@list @t15 @t20 @t1)) % 0.38/0.59 (define @t27 () (lambda @t26 (_ (_ tptp.mnot (_ @t25 @t23)) @t1))) % 0.38/0.59 (define @t28 () (lambda @t26 (_ (_ @t25 @t20) @t1))) % 0.38/0.59 (define @t29 () (lambda @t26 (_ (_ (_ tptp.mor @t23) @t15) @t1))) % 0.38/0.59 (define @t30 () (lambda @t26 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t15) @t20)) (_ (_ tptp.mimplies @t20) @t15)) @t1))) % 0.38/0.59 (define @t31 () (lambda @t26 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t15) @t20)) @t1))) % 0.38/0.59 (define @t32 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.38/0.59 (define @t33 () (_ @t32 @t2)) % 0.38/0.59 (define @t34 () (_ @t33 @t10)) % 0.38/0.59 (define @t35 () (@list @t2)) % 0.38/0.59 (define @t36 () (forall @t35 @t34)) % 0.38/0.59 (define @t37 () (@list @t32 @t10)) % 0.38/0.59 (define @t38 () (lambda @t37 @t36)) % 0.38/0.59 (define @t39 () (@var "P" (-> $$unsorted Bool))) % 0.38/0.59 (define @t40 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.38/0.59 (define @t41 () (_ @t40 @t39)) % 0.38/0.59 (define @t42 () (lambda (@list @t40 @t10) (forall (@list @t39) (_ @t41 @t10)))) % 0.38/0.59 (define @t43 () (lambda (@list @t32 @t1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t5 (_ (_ tptp.mnot @t33) @t1)))) @t1))) % 0.38/0.59 (define @t44 () (lambda (@list @t40 @t1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t39 @t1) (_ (_ tptp.mnot @t41) @t1)))) @t1))) % 0.38/0.59 (define @t45 () (@list @t10)) % 0.38/0.59 (define @t46 () (lambda @t45 true)) % 0.38/0.59 (define @t47 () (@var "V" $$unsorted)) % 0.38/0.59 (define @t48 () (_ @t15 @t47)) % 0.38/0.59 (define @t49 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.38/0.59 (define @t50 () (_ (_ @t49 @t10) @t47)) % 0.38/0.59 (define @t51 () (not @t50)) % 0.38/0.59 (define @t52 () (or @t51 @t48)) % 0.38/0.59 (define @t53 () (@list @t47)) % 0.38/0.59 (define @t54 () (forall @t53 @t52)) % 0.38/0.59 (define @t55 () (@list @t49 @t15 @t10)) % 0.38/0.59 (define @t56 () (lambda @t55 @t54)) % 0.38/0.59 (define @t57 () (lambda (@list @t49 @t15 @t1) (_ (_ tptp.mnot (_ (_ tptp.mbox @t49) @t24)) @t1))) % 0.38/0.59 (define @t58 () (@var "S" $$unsorted)) % 0.38/0.59 (define @t59 () (_ @t49 @t58)) % 0.38/0.59 (define @t60 () (@list @t58)) % 0.38/0.59 (define @t61 () (@list @t49)) % 0.38/0.59 (define @t62 () (lambda @t61 (forall @t60 (_ @t59 @t58)))) % 0.38/0.59 (define @t63 () (@var "T" $$unsorted)) % 0.38/0.59 (define @t64 () (_ @t49 @t63)) % 0.38/0.59 (define @t65 () (_ @t59 @t63)) % 0.38/0.59 (define @t66 () (lambda @t61 (forall (@list @t58 @t63) (=> @t65 (_ @t64 @t58))))) % 0.38/0.59 (define @t67 () (@list @t63)) % 0.38/0.59 (define @t68 () (lambda @t61 (forall @t60 (exists @t67 @t65)))) % 0.38/0.59 (define @t69 () (@var "U" $$unsorted)) % 0.38/0.59 (define @t70 () (_ @t59 @t69)) % 0.38/0.59 (define @t71 () (_ @t64 @t69)) % 0.38/0.59 (define @t72 () (@list @t58 @t63 @t69)) % 0.38/0.59 (define @t73 () (lambda @t61 (forall @t72 (=> (and @t65 @t71) @t70)))) % 0.38/0.59 (define @t74 () (and @t65 @t70)) % 0.38/0.59 (define @t75 () (lambda @t61 (forall @t72 (=> @t74 @t71)))) % 0.38/0.59 (define @t76 () (= @t63 @t69)) % 0.38/0.59 (define @t77 () (lambda @t61 (forall @t72 (=> @t74 @t76)))) % 0.38/0.59 (define @t78 () (@list @t69)) % 0.38/0.59 (define @t79 () (lambda @t61 (forall @t60 (exists @t67 (and @t65 (forall @t78 (=> @t70 @t76))))))) % 0.38/0.59 (define @t80 () (_ @t49 @t69)) % 0.38/0.59 (define @t81 () (_ @t80 @t63)) % 0.38/0.59 (define @t82 () (lambda @t61 (forall @t72 (=> @t65 (exists @t78 (and @t70 @t81)))))) % 0.38/0.59 (define @t83 () (lambda @t61 (forall @t72 (=> @t74 (or @t71 @t76 @t81))))) % 0.38/0.59 (define @t84 () (lambda @t61 (forall @t72 (=> @t74 (exists @t53 (and (_ @t64 @t47) (_ @t80 @t47))))))) % 0.38/0.59 (define @t85 () (forall @t45 @t16)) % 0.38/0.59 (define @t86 () (@list @t15)) % 0.38/0.59 (define @t87 () (lambda @t86 @t85)) % 0.38/0.59 (define @t88 () (lambda @t86 (forall @t45 @t17))) % 0.38/0.59 (define @t89 () (lambda @t86 (exists @t45 @t16))) % 0.38/0.59 (define @t90 () (lambda @t86 (exists @t45 @t17))) % 0.38/0.59 (define @t91 () (@var "BOUND_VARIABLE_8426" $$unsorted)) % 0.38/0.59 (define @t92 () (@var "BOUND_VARIABLE_8424" tptp.mu)) % 0.38/0.59 (define @t93 () (tptp.p @t92 @t91)) % 0.38/0.59 (define @t94 () (not (tptp.r @t10 @t91))) % 0.38/0.59 (define @t95 () (@var "BOUND_VARIABLE_8367" tptp.mu)) % 0.38/0.59 (define @t96 () (tptp.p @t95 @t47)) % 0.38/0.59 (define @t97 () (not (tptp.r @t10 @t47))) % 0.38/0.59 (define @t98 () (or @t97 @t96)) % 0.38/0.59 (define @t99 () (@list @t47 @t95)) % 0.38/0.59 (define @t100 () (forall @t99 @t98)) % 0.38/0.59 (define @t101 () (not @t100)) % 0.38/0.59 (define @t102 () (or @t101 @t94 @t93)) % 0.38/0.59 (define @t103 () (or @t94 @t93)) % 0.38/0.59 (define @t104 () (or @t101 @t103)) % 0.38/0.59 (define @t105 () (@list @t10 @t92 @t91)) % 0.38/0.59 (define @t106 () (forall @t105 @t104)) % 0.38/0.59 (define @t107 () (@list @t92 @t91)) % 0.38/0.59 (define @t108 () (forall @t107 @t104)) % 0.38/0.59 (define @t109 () (forall @t107 @t103)) % 0.38/0.59 (define @t110 () (or @t101 @t109)) % 0.38/0.59 (define @t111 () (tptp.p @t2 @t47)) % 0.38/0.59 (define @t112 () (or @t97 @t111)) % 0.38/0.59 (define @t113 () (@list @t2 @t47)) % 0.38/0.59 (define @t114 () (forall @t113 @t112)) % 0.38/0.59 (define @t115 () (or @t101 @t114)) % 0.38/0.59 (define @t116 () (not (tptp.r @t1 @t47))) % 0.38/0.59 (define @t117 () (or @t116 @t111)) % 0.38/0.59 (define @t118 () (forall @t113 @t117)) % 0.38/0.59 (define @t119 () (forall @t99 (or @t116 @t96))) % 0.38/0.59 (define @t120 () (not @t119)) % 0.38/0.59 (define @t121 () (@list @t1)) % 0.38/0.59 (define @t122 () (lambda @t121 (or @t120 @t118))) % 0.38/0.59 (define @t123 () (_ @t122 @t10)) % 0.38/0.59 (define @t124 () (forall @t45 @t123)) % 0.38/0.59 (define @t125 () (_ @t15 @t10)) % 0.38/0.59 (define @t126 () (lambda @t86 (forall @t45 @t125))) % 0.38/0.59 (define @t127 () (lambda @t45 @t114)) % 0.38/0.59 (define @t128 () (_ @t127 @t1)) % 0.38/0.59 (define @t129 () (or @t120 @t128)) % 0.38/0.59 (define @t130 () (lambda @t121 @t129)) % 0.38/0.59 (define @t131 () (_ @t20 @t1)) % 0.38/0.59 (define @t132 () (@list @t20 @t1)) % 0.38/0.59 (define @t133 () (forall @t53 @t112)) % 0.38/0.59 (define @t134 () (forall @t53 @t117)) % 0.38/0.59 (define @t135 () (lambda @t5 @t134)) % 0.38/0.59 (define @t136 () (_ @t135 @t2 @t10)) % 0.38/0.59 (define @t137 () (forall @t35 @t136)) % 0.38/0.59 (define @t138 () (lambda @t45 @t137)) % 0.38/0.59 (define @t139 () (_ @t32 @t2 @t10)) % 0.38/0.59 (define @t140 () (lambda @t37 (forall @t35 @t139))) % 0.38/0.59 (define @t141 () (_ @t3 @t47)) % 0.38/0.59 (define @t142 () (or @t97 @t141)) % 0.38/0.59 (define @t143 () (_ @t3 @t47)) % 0.38/0.59 (define @t144 () (or @t97 @t143)) % 0.38/0.59 (define @t145 () (forall @t53 @t144)) % 0.38/0.59 (define @t146 () (lambda @t45 @t145)) % 0.38/0.59 (define @t147 () (_ @t15 @t47)) % 0.38/0.59 (define @t148 () (lambda @t18 (forall @t53 (or @t97 @t147)))) % 0.38/0.59 (define @t149 () (_ @t49 @t10 @t47)) % 0.38/0.59 (define @t150 () (_ (lambda @t55 (forall @t53 (or (not @t149) @t147))) tptp.r)) % 0.38/0.59 (define @t151 () (lambda @t5 (_ (_ @t150 @t3) @t1))) % 0.38/0.59 (define @t152 () (lambda @t45 @t100)) % 0.38/0.59 (define @t153 () (_ @t152 @t1)) % 0.38/0.59 (define @t154 () (not @t153)) % 0.38/0.59 (define @t155 () (or @t154 @t131)) % 0.38/0.59 (define @t156 () (lambda @t132 @t155)) % 0.38/0.59 (define @t157 () (or (not (_ @t15 @t1)) @t131)) % 0.38/0.59 (define @t158 () (lambda @t26 @t157)) % 0.38/0.59 (define @t159 () (@list @t95)) % 0.38/0.59 (define @t160 () (forall @t159 @t98)) % 0.38/0.59 (define @t161 () (forall @t159 @t96)) % 0.38/0.59 (define @t162 () (or @t97 @t161)) % 0.38/0.59 (define @t163 () (forall @t35 @t111)) % 0.38/0.59 (define @t164 () (tptp.p @t2 @t10)) % 0.38/0.59 (define @t165 () (lambda @t45 (forall @t35 @t164))) % 0.38/0.59 (define @t166 () (_ @t165 @t47)) % 0.38/0.59 (define @t167 () (or @t97 @t166)) % 0.38/0.59 (define @t168 () (forall @t53 @t167)) % 0.38/0.59 (define @t169 () (lambda @t45 @t168)) % 0.38/0.59 (define @t170 () (_ @t3 @t10)) % 0.38/0.59 (define @t171 () (_ @t7 @t2 @t10)) % 0.38/0.59 (define @t172 () (forall @t35 @t171)) % 0.38/0.59 (define @t173 () (lambda @t45 @t172)) % 0.38/0.59 (define @t174 () (_ @t140 @t7)) % 0.38/0.59 (define @t175 () (or @t17 @t21)) % 0.38/0.59 (define @t176 () (lambda @t45 @t175)) % 0.38/0.59 (define @t177 () (@list @t20 @t10)) % 0.38/0.59 (define @t178 () (lambda @t45 @t17)) % 0.38/0.59 (define @t179 () (_ @t178 @t10)) % 0.38/0.59 (define @t180 () (or @t179 @t21)) % 0.38/0.59 (define @t181 () (lambda @t177 @t180)) % 0.38/0.59 (define @t182 () (forall @t105 @t102)) % 0.38/0.59 (define @t183 () (@quantifiers_skolemize @t182 0)) % 0.38/0.59 (define @t184 () (forall @t99 (or (not (tptp.r @t183 @t47)) @t96))) % 0.38/0.59 (define @t185 () (@quantifiers_skolemize @t182 2)) % 0.38/0.59 (define @t186 () (@quantifiers_skolemize @t182 1)) % 0.38/0.59 (define @t187 () (tptp.p @t186 @t185)) % 0.38/0.59 (define @t188 () (tptp.r @t183 @t185)) % 0.38/0.59 (define @t189 () (not @t188)) % 0.38/0.59 (define @t190 () (not @t184)) % 0.38/0.59 (define @t191 () (or @t190 @t189 @t187)) % 0.38/0.59 (define @t192 () (@list true)) % 0.38/0.59 (define @t193 () (@list @t191)) % 0.38/0.59 (define @t194 () (or @t189 @t187)) % 0.38/0.59 (define @t195 () (not @t194)) % 0.38/0.59 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.38/0.59 (assume @p2 @t8) % 0.38/0.59 (assume @p3 true) % 0.38/0.59 (step @p4 (= tptp.meq_ind @t11) :rule refl :args (@t11)) % 0.38/0.59 (step @p5 (= tptp.meq_prop @t14) :rule refl :args (@t14)) % 0.38/0.59 (step @p6 (= tptp.mnot @t19) :rule refl :args (@t19)) % 0.38/0.59 (step @p7 (= tptp.mor @t22) :rule refl :args (@t22)) % 0.38/0.59 (step @p8 (= tptp.mand @t27) :rule refl :args (@t27)) % 0.38/0.59 (step @p9 (= tptp.mimplies @t28) :rule refl :args (@t28)) % 0.38/0.59 (step @p10 (= tptp.mimplied @t29) :rule refl :args (@t29)) % 0.38/0.59 (step @p11 (= tptp.mequiv @t30) :rule refl :args (@t30)) % 0.38/0.59 (step @p12 (= tptp.mxor @t31) :rule refl :args (@t31)) % 0.38/0.59 (step @p13 (= tptp.mforall_ind @t38) :rule refl :args (@t38)) % 0.38/0.59 (step @p14 (= tptp.mforall_prop @t42) :rule refl :args (@t42)) % 0.38/0.59 (step @p15 (= tptp.mexists_ind @t43) :rule refl :args (@t43)) % 0.38/0.59 (step @p16 (= tptp.mexists_prop @t44) :rule refl :args (@t44)) % 0.38/0.59 (step @p17 (= tptp.mtrue @t46) :rule refl :args (@t46)) % 0.38/0.59 (step @p18 (= tptp.mbox @t56) :rule refl :args (@t56)) % 0.38/0.59 (step @p19 (= tptp.mdia @t57) :rule refl :args (@t57)) % 0.38/0.59 (step @p20 (= tptp.mreflexive @t62) :rule refl :args (@t62)) % 0.38/0.59 (step @p21 (= tptp.msymmetric @t66) :rule refl :args (@t66)) % 0.38/0.59 (step @p22 (= tptp.mserial @t68) :rule refl :args (@t68)) % 0.38/0.59 (step @p23 (= tptp.mtransitive @t73) :rule refl :args (@t73)) % 0.38/0.59 (step @p24 (= tptp.meuclidean @t75) :rule refl :args (@t75)) % 0.38/0.59 (step @p25 (= tptp.mpartially_functional @t77) :rule refl :args (@t77)) % 0.38/0.59 (step @p26 (= tptp.mfunctional @t79) :rule refl :args (@t79)) % 0.38/0.59 (step @p27 (= tptp.mweakly_dense @t82) :rule refl :args (@t82)) % 0.38/0.59 (step @p28 (= tptp.mweakly_connected @t83) :rule refl :args (@t83)) % 0.38/0.59 (step @p29 (= tptp.mweakly_directed @t84) :rule refl :args (@t84)) % 0.38/0.59 (step @p30 (= tptp.mvalid @t87) :rule refl :args (@t87)) % 0.38/0.59 (step @p31 (= tptp.minvalid @t88) :rule refl :args (@t88)) % 0.38/0.59 (step @p32 (= tptp.msatisfiable @t89) :rule refl :args (@t89)) % 0.38/0.59 (step @p33 (= tptp.mcountersatisfiable @t90) :rule refl :args (@t90)) % 0.38/0.59 (step @p34 :rule aci_norm :args ((= @t104 @t102))) % 0.38/0.59 (step @p35 :rule cong :premises (@p34) :args (@t106)) % 0.38/0.59 (step @p36 :rule quant-merge-prenex :args ((= (forall @t45 @t108) @t106))) % 0.38/0.59 (step @p37 :rule alpha_equiv :args (@t109 (@list @t92 @t91) (@list @t2 @t47))) % 0.38/0.59 (step @p38 :rule refl :args (@t101)) % 0.38/0.59 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t110)) % 0.38/0.59 (step @p40 :rule quant-miniscope-or :args ((= @t108 @t110))) % 0.38/0.59 (step @p41 :rule trans :premises (@p40 @p39)) % 0.38/0.59 (step @p42 :rule symm :premises (@p41)) % 0.38/0.59 (step @p43 :rule cong :premises (@p42) :args ((forall @t45 @t115))) % 0.38/0.59 (step @p44 :rule trans :premises (@p43 @p36)) % 0.38/0.59 (step @p45 :rule trans :premises (@p44 @p35)) % 0.38/0.59 (step @p46 :rule beta-reduce :args ((= @t123 @t115))) % 0.38/0.59 (step @p47 :rule cong :premises (@p46) :args (@t124)) % 0.38/0.59 (step @p48 :rule trans :premises (@p47 @p45)) % 0.38/0.59 (step @p49 :rule beta-reduce :args ((= (_ @t126 @t122) @t124))) % 0.38/0.59 (step @p50 :rule trans :premises (@p49 @p48)) % 0.38/0.59 (step @p51 :rule beta-reduce :args ((= @t128 @t118))) % 0.38/0.59 (step @p52 :rule refl :args (@t120)) % 0.38/0.59 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t129)) % 0.38/0.59 (step @p54 :rule cong :premises (@p53) :args (@t130)) % 0.38/0.59 (step @p55 :rule beta-reduce :args ((= (_ (lambda @t132 (or @t120 @t131)) @t127) @t130))) % 0.38/0.59 (step @p56 :rule trans :premises (@p55 @p54)) % 0.38/0.59 (step @p57 :rule quant-merge-prenex :args ((= (forall @t35 @t133) @t114))) % 0.38/0.59 (step @p58 :rule beta-reduce :args ((= @t136 @t133))) % 0.38/0.59 (step @p59 :rule cong :premises (@p58) :args (@t137)) % 0.38/0.59 (step @p60 :rule trans :premises (@p59 @p57)) % 0.38/0.59 (step @p61 :rule cong :premises (@p60) :args (@t138)) % 0.38/0.59 (step @p62 :rule beta-reduce :args ((= (_ @t140 @t135) @t138))) % 0.38/0.59 (step @p63 :rule trans :premises (@p62 @p61)) % 0.38/0.59 (step @p64 :rule beta-reduce :args ((= (_ (lambda @t45 @t133) @t1) @t134))) % 0.38/0.59 (step @p65 :rule refl :args (@t1)) % 0.38/0.59 (step @p66 :rule refl :args (@t111)) % 0.38/0.59 (step @p67 :rule refl :args (@t141)) % 0.38/0.59 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t141 @t111))) % 0.38/0.59 (step @p69 :rule symm :premises (@p68)) % 0.38/0.59 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 0.38/0.59 (step @p71 :rule refl :args (@t97)) % 0.38/0.59 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t142)) % 0.38/0.59 (step @p73 :rule cong :premises (@p72) :args ((forall @t53 @t142))) % 0.38/0.59 (step @p74 :rule refl :args (@t143)) % 0.38/0.59 (step @p75 :rule refl :args (@t97)) % 0.38/0.59 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t144)) % 0.38/0.59 (step @p77 :rule cong :premises (@p76) :args (@t145)) % 0.38/0.59 (step @p78 :rule trans :premises (@p77 @p73)) % 0.38/0.59 (step @p79 :rule cong :premises (@p78) :args (@t146)) % 0.38/0.59 (step @p80 :rule beta-reduce :args ((= (_ @t148 @t3) @t146))) % 0.38/0.59 (step @p81 :rule trans :premises (@p80 @p79)) % 0.38/0.59 (step @p82 :rule refl :args (@t3)) % 0.38/0.59 (step @p83 :rule beta-reduce :args ((= @t150 @t148))) % 0.38/0.59 (step @p84 :rule ho_cong :premises (@p83 @p82)) % 0.38/0.59 (step @p85 :rule trans :premises (@p84 @p81)) % 0.38/0.59 (step @p86 :rule ho_cong :premises (@p85 @p65)) % 0.38/0.59 (step @p87 :rule trans :premises (@p86 @p64)) % 0.38/0.59 (step @p88 :rule cong :premises (@p87) :args (@t151)) % 0.38/0.59 (step @p89 :rule refl :args (@t140)) % 0.38/0.59 (step @p90 :rule ho_cong :premises (@p89 @p88)) % 0.38/0.59 (step @p91 :rule trans :premises (@p90 @p63)) % 0.38/0.59 (step @p92 :rule refl :args (@t131)) % 0.38/0.59 (step @p93 :rule beta-reduce :args ((= @t153 @t119))) % 0.38/0.59 (step @p94 :rule cong :premises (@p93) :args (@t154)) % 0.38/0.59 (step @p95 :rule nary_cong :premises (@p94 @p92) :args (@t155)) % 0.38/0.59 (step @p96 :rule cong :premises (@p95) :args (@t156)) % 0.38/0.59 (step @p97 :rule beta-reduce :args ((= (_ @t158 @t152) @t156))) % 0.38/0.59 (step @p98 :rule trans :premises (@p97 @p96)) % 0.38/0.59 (step @p99 :rule quant-merge-prenex :args ((= (forall @t53 @t160) @t100))) % 0.38/0.59 (step @p100 :rule alpha_equiv :args (@t161 (@list @t95) (@list @t2))) % 0.38/0.59 (step @p101 :rule nary_cong :premises (@p71 @p100) :args (@t162)) % 0.38/0.59 (step @p102 :rule quant-miniscope-or :args ((= @t160 @t162))) % 0.38/0.59 (step @p103 :rule trans :premises (@p102 @p101)) % 0.38/0.59 (step @p104 :rule symm :premises (@p103)) % 0.38/0.59 (step @p105 :rule cong :premises (@p104) :args ((forall @t53 (or @t97 @t163)))) % 0.38/0.59 (step @p106 :rule trans :premises (@p105 @p99)) % 0.38/0.59 (step @p107 :rule beta-reduce :args ((= @t166 @t163))) % 0.38/0.59 (step @p108 :rule nary_cong :premises (@p75 @p107) :args (@t167)) % 0.38/0.59 (step @p109 :rule cong :premises (@p108) :args (@t168)) % 0.38/0.59 (step @p110 :rule trans :premises (@p109 @p106)) % 0.38/0.59 (step @p111 :rule cong :premises (@p110) :args (@t169)) % 0.38/0.59 (step @p112 :rule beta-reduce :args ((= (_ @t148 @t165) @t169))) % 0.38/0.59 (step @p113 :rule trans :premises (@p112 @p111)) % 0.38/0.59 (step @p114 :rule refl :args (@t164)) % 0.38/0.59 (step @p115 :rule refl :args (@t170)) % 0.38/0.59 (step @p116 :rule cong :premises (@p115 @p114) :args ((= @t170 @t164))) % 0.38/0.59 (step @p117 :rule symm :premises (@p116)) % 0.38/0.59 (step @p118 :rule eq_resolve :premises (@p115 @p117)) % 0.38/0.59 (step @p119 :rule cong :premises (@p118) :args ((forall @t35 @t170))) % 0.38/0.59 (step @p120 :rule beta-reduce :args ((= @t171 @t170))) % 0.38/0.59 (step @p121 :rule cong :premises (@p120) :args (@t172)) % 0.38/0.59 (step @p122 :rule trans :premises (@p121 @p119)) % 0.38/0.59 (step @p123 :rule cong :premises (@p122) :args (@t173)) % 0.38/0.59 (step @p124 :rule beta-reduce :args ((= @t174 @t173))) % 0.38/0.59 (step @p125 :rule trans :premises (@p124 @p123)) % 0.38/0.59 (step @p126 :rule ho_cong :premises (@p83 @p125)) % 0.38/0.59 (step @p127 :rule trans :premises (@p126 @p113)) % 0.38/0.59 (step @p128 :rule refl :args (@t158)) % 0.38/0.59 (step @p129 :rule ho_cong :premises (@p128 @p127)) % 0.38/0.59 (step @p130 :rule trans :premises (@p129 @p98)) % 0.38/0.59 (step @p131 :rule ho_cong :premises (@p130 @p91)) % 0.38/0.59 (step @p132 :rule trans :premises (@p131 @p56)) % 0.38/0.59 (step @p133 :rule refl :args (@t126)) % 0.38/0.59 (step @p134 :rule ho_cong :premises (@p133 @p132)) % 0.38/0.59 (step @p135 :rule trans :premises (@p134 @p50)) % 0.38/0.59 (step @p136 :rule cong :premises (@p135) :args ((not (_ @t126 (_ (_ @t158 (_ @t150 @t174)) (_ @t140 @t151)))))) % 0.38/0.59 (step @p137 :rule refl :args (tptp.r)) % 0.38/0.59 (step @p138 :rule refl :args (@t147)) % 0.38/0.59 (step @p139 :rule refl :args (@t48)) % 0.38/0.59 (step @p140 :rule cong :premises (@p139 @p138) :args ((= @t48 @t147))) % 0.38/0.59 (step @p141 :rule symm :premises (@p140)) % 0.38/0.59 (step @p142 :rule eq_resolve :premises (@p139 @p141)) % 0.38/0.59 (step @p143 :rule refl :args (@t149)) % 0.38/0.59 (step @p144 :rule refl :args (@t50)) % 0.38/0.59 (step @p145 :rule cong :premises (@p144 @p143) :args ((= @t50 @t149))) % 0.38/0.59 (step @p146 :rule symm :premises (@p145)) % 0.38/0.59 (step @p147 :rule eq_resolve :premises (@p144 @p146)) % 0.38/0.59 (step @p148 :rule cong :premises (@p147) :args (@t51)) % 0.38/0.59 (step @p149 :rule nary_cong :premises (@p148 @p142) :args (@t52)) % 0.38/0.59 (step @p150 :rule cong :premises (@p149) :args (@t54)) % 0.38/0.59 (step @p151 :rule cong :premises (@p150) :args (@t56)) % 0.38/0.59 (step @p152 :rule trans :premises (@p18 @p151)) % 0.38/0.59 (step @p153 :rule ho_cong :premises (@p152 @p137)) % 0.38/0.59 (step @p154 :rule ho_cong :premises (@p153 @p82)) % 0.38/0.59 (step @p155 :rule ho_cong :premises (@p154 @p65)) % 0.38/0.59 (step @p156 :rule cong :premises (@p155) :args (@t6)) % 0.38/0.59 (step @p157 :rule refl :args (@t139)) % 0.38/0.59 (step @p158 :rule refl :args (@t34)) % 0.38/0.59 (step @p159 :rule cong :premises (@p158 @p157) :args ((= @t34 @t139))) % 0.38/0.59 (step @p160 :rule symm :premises (@p159)) % 0.38/0.59 (step @p161 :rule eq_resolve :premises (@p158 @p160)) % 0.38/0.59 (step @p162 :rule cong :premises (@p161) :args (@t36)) % 0.38/0.59 (step @p163 :rule cong :premises (@p162) :args (@t38)) % 0.38/0.59 (step @p164 :rule trans :premises (@p13 @p163)) % 0.38/0.59 (step @p165 :rule ho_cong :premises (@p164 @p156)) % 0.38/0.59 (step @p166 :rule refl :args (@t7)) % 0.38/0.59 (step @p167 :rule ho_cong :premises (@p164 @p166)) % 0.38/0.59 (step @p168 :rule ho_cong :premises (@p153 @p167)) % 0.38/0.59 (step @p169 :rule beta-reduce :args ((= (_ @t176 @t1) @t157))) % 0.38/0.59 (step @p170 :rule beta-reduce :args ((= (_ (lambda @t177 @t175) @t20) @t176))) % 0.38/0.59 (step @p171 :rule refl :args (@t20)) % 0.38/0.59 (step @p172 :rule refl :args (@t21)) % 0.38/0.59 (step @p173 :rule beta-reduce :args ((= @t179 @t17))) % 0.38/0.59 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t180)) % 0.38/0.59 (step @p175 :rule cong :premises (@p174) :args (@t181)) % 0.38/0.59 (step @p176 :rule beta-reduce :args ((= (_ @t22 @t178) @t181))) % 0.38/0.59 (step @p177 :rule trans :premises (@p176 @p175)) % 0.38/0.59 (step @p178 :rule beta-reduce :args ((= (_ @t19 @t15) @t178))) % 0.38/0.59 (step @p179 :rule refl :args (@t22)) % 0.38/0.59 (step @p180 :rule ho_cong :premises (@p179 @p178)) % 0.38/0.59 (step @p181 :rule trans :premises (@p180 @p177)) % 0.38/0.59 (step @p182 :rule ho_cong :premises (@p181 @p171)) % 0.38/0.59 (step @p183 :rule trans :premises (@p182 @p170)) % 0.38/0.59 (step @p184 :rule ho_cong :premises (@p183 @p65)) % 0.38/0.59 (step @p185 :rule trans :premises (@p184 @p169)) % 0.38/0.59 (step @p186 :rule refl :args (@t15)) % 0.38/0.59 (step @p187 :rule ho_cong :premises (@p6 @p186)) % 0.38/0.59 (step @p188 :rule ho_cong :premises (@p7 @p187)) % 0.38/0.59 (step @p189 :rule ho_cong :premises (@p188 @p171)) % 0.38/0.59 (step @p190 :rule ho_cong :premises (@p189 @p65)) % 0.38/0.59 (step @p191 :rule trans :premises (@p190 @p185)) % 0.38/0.59 (step @p192 :rule cong :premises (@p191) :args (@t28)) % 0.38/0.59 (step @p193 :rule trans :premises (@p9 @p192)) % 0.38/0.59 (step @p194 :rule ho_cong :premises (@p193 @p168)) % 0.38/0.59 (step @p195 :rule ho_cong :premises (@p194 @p165)) % 0.38/0.59 (step @p196 :rule refl :args (@t125)) % 0.38/0.59 (step @p197 :rule refl :args (@t16)) % 0.38/0.59 (step @p198 :rule cong :premises (@p197 @p196) :args ((= @t16 @t125))) % 0.38/0.59 (step @p199 :rule symm :premises (@p198)) % 0.38/0.59 (step @p200 :rule eq_resolve :premises (@p197 @p199)) % 0.38/0.59 (step @p201 :rule cong :premises (@p200) :args (@t85)) % 0.38/0.59 (step @p202 :rule cong :premises (@p201) :args (@t87)) % 0.38/0.59 (step @p203 :rule trans :premises (@p30 @p202)) % 0.38/0.59 (step @p204 :rule ho_cong :premises (@p203 @p195)) % 0.38/0.59 (step @p205 :rule cong :premises (@p204) :args (@t8)) % 0.38/0.59 (step @p206 :rule trans :premises (@p205 @p136)) % 0.38/0.59 (step @p207 :rule eq_resolve :premises (@p2 @p206)) % 0.38/0.59 (step @p208 :rule skolemize :premises (@p207)) % 0.38/0.59 (step @p209 :rule bool-double-not-elim :args (@t184)) % 0.38/0.59 (step @p210 :rule refl :args (@t191)) % 0.38/0.59 (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((or @t191 (not @t190)))) % 0.38/0.59 (step @p212 :rule cnf_or_neg :args (@t191 0)) % 0.38/0.60 (step @p213 :rule eq_resolve :premises (@p212 @p211)) % 0.38/0.60 (step @p214 :rule reordering :premises (@p213) :args ((or @t184 @t191))) % 0.38/0.60 (step @p215 :rule chain_m_resolution :premises (@p214 @p208) :args (@t184 @t192 @t193)) % 0.38/0.60 (step @p216 :rule cnf_or_neg :args (@t191 2)) % 0.38/0.60 (step @p217 :rule chain_m_resolution :premises (@p216 @p208) :args ((not @t187) @t192 @t193)) % 0.38/0.60 (step @p218 :rule bool-double-not-elim :args (@t188)) % 0.38/0.60 (step @p219 :rule nary_cong :premises (@p210 @p218) :args ((or @t191 (not @t189)))) % 0.38/0.60 (step @p220 :rule cnf_or_neg :args (@t191 1)) % 0.38/0.60 (step @p221 :rule eq_resolve :premises (@p220 @p219)) % 0.38/0.60 (step @p222 :rule reordering :premises (@p221) :args ((or @t188 @t191))) % 0.38/0.60 (step @p223 :rule chain_m_resolution :premises (@p222 @p208) :args (@t188 @t192 @t193)) % 0.38/0.60 (step @p224 :rule cnf_or_pos :args (@t194)) % 0.38/0.60 (step @p225 :rule reordering :premises (@p224) :args ((or @t189 @t187 @t195))) % 0.38/0.60 (step @p226 :rule chain_m_resolution :premises (@p225 @p223 @p217) :args (@t195 (@list false true) (@list @t188 @t187))) % 0.38/0.60 (assume-push @p233 @t184) % 0.38/0.60 (step @p228 :rule instantiate :premises (@p215) :args ((@list @t185 @t186))) % 0.38/0.60 (step-pop @p234 :rule scope :premises (@p228)) % 0.38/0.60 (step @p229 :rule process_scope :premises (@p234) :args (@t194)) % 0.38/0.60 (step @p231 :rule implies_elim :premises (@p229)) % 0.38/0.60 (step @p232 false :rule chain_m_resolution :premises (@p231 @p226 @p215) :args (false (@list true false) (@list @t194 @t184))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------