%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL868^1 : TPTP v9.3.1. Bugfixed v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.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 11:24:04 AM UTC 2026 % Result : Theorem 0.64s 1.00s % Output : Proof 0.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL868^1 : TPTP v9.3.1. Bugfixed v5.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n004.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 04:35:29 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.44 %----Proving TH0 % 0.64/1.00 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.64/1.00 % SZS status Theorem % 0.64/1.00 % SZS output start Proof % 0.64/1.00 ( % 0.64/1.00 (declare-sort $$unsorted 0) % 0.64/1.00 (declare-sort tptp.mu 0) % 0.64/1.00 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.64/1.00 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.64/1.00 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.64/1.00 (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)))))) % 0.64/1.00 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.64/1.00 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.64/1.00 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.64/1.00 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.64/1.00 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.64/1.00 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.64/1.00 (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))))))) % 0.64/1.00 (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))))))) % 0.64/1.00 (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)))))) % 0.64/1.00 (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)))))) % 0.64/1.00 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.64/1.00 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.64/1.00 (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)))))) % 0.64/1.00 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.64/1.00 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.64/1.00 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.64/1.00 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.64/1.00 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.64/1.00 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.64/1.00 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.64/1.00 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.64/1.00 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.64/1.00 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.64/1.00 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.64/1.00 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.64/1.00 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.64/1.00 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.64/1.00 (define @t1 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.64/1.00 (define @t2 () (_ tptp.meuclidean @t1)) % 0.64/1.00 (define @t3 () (and (_ tptp.mserial @t1) (_ tptp.mtransitive @t1) @t2)) % 0.64/1.00 (define @t4 () (and (_ tptp.mreflexive @t1) @t2)) % 0.64/1.00 (define @t5 () (=> @t4 @t3)) % 0.64/1.00 (define @t6 () (@list @t1)) % 0.64/1.00 (define @t7 () (forall @t6 @t5)) % 0.64/1.00 (define @t8 () (not @t7)) % 0.64/1.00 (define @t9 () (@var "Y" tptp.mu)) % 0.64/1.00 (define @t10 () (@var "X" tptp.mu)) % 0.64/1.00 (define @t11 () (@var "W" $$unsorted)) % 0.64/1.00 (define @t12 () (lambda (@list @t10 @t9 @t11) (= @t10 @t9))) % 0.64/1.00 (define @t13 () (@var "Y" (-> $$unsorted Bool))) % 0.64/1.00 (define @t14 () (@var "X" (-> $$unsorted Bool))) % 0.64/1.00 (define @t15 () (lambda (@list @t14 @t13 @t11) (= (_ @t14 @t11) (_ @t13 @t11)))) % 0.64/1.00 (define @t16 () (@var "Phi" (-> $$unsorted Bool))) % 0.64/1.00 (define @t17 () (_ @t16 @t11)) % 0.64/1.00 (define @t18 () (not @t17)) % 0.64/1.00 (define @t19 () (lambda (@list @t16 @t11) @t18)) % 0.64/1.00 (define @t20 () (@var "Psi" (-> $$unsorted Bool))) % 0.64/1.00 (define @t21 () (lambda (@list @t16 @t20 @t11) (or @t17 (_ @t20 @t11)))) % 0.64/1.00 (define @t22 () (@var "__flatten_var_0" $$unsorted)) % 0.64/1.00 (define @t23 () (_ tptp.mnot @t20)) % 0.64/1.00 (define @t24 () (_ tptp.mnot @t16)) % 0.64/1.00 (define @t25 () (_ tptp.mor @t24)) % 0.64/1.00 (define @t26 () (@list @t16 @t20 @t22)) % 0.64/1.00 (define @t27 () (lambda @t26 (_ (_ tptp.mnot (_ @t25 @t23)) @t22))) % 0.64/1.00 (define @t28 () (lambda @t26 (_ (_ @t25 @t20) @t22))) % 0.64/1.00 (define @t29 () (lambda @t26 (_ (_ (_ tptp.mor @t23) @t16) @t22))) % 0.64/1.00 (define @t30 () (lambda @t26 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t16) @t20)) (_ (_ tptp.mimplies @t20) @t16)) @t22))) % 0.64/1.00 (define @t31 () (lambda @t26 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t16) @t20)) @t22))) % 0.64/1.00 (define @t32 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.64/1.00 (define @t33 () (_ @t32 @t10)) % 0.64/1.00 (define @t34 () (lambda (@list @t32 @t11) (forall (@list @t10) (_ @t33 @t11)))) % 0.64/1.00 (define @t35 () (@var "P" (-> $$unsorted Bool))) % 0.64/1.00 (define @t36 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.64/1.00 (define @t37 () (_ @t36 @t35)) % 0.64/1.00 (define @t38 () (lambda (@list @t36 @t11) (forall (@list @t35) (_ @t37 @t11)))) % 0.64/1.00 (define @t39 () (lambda (@list @t32 @t22) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t10 @t22) (_ (_ tptp.mnot @t33) @t22)))) @t22))) % 0.64/1.00 (define @t40 () (lambda (@list @t36 @t22) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t35 @t22) (_ (_ tptp.mnot @t37) @t22)))) @t22))) % 0.64/1.00 (define @t41 () (@list @t11)) % 0.64/1.00 (define @t42 () (lambda @t41 true)) % 0.64/1.00 (define @t43 () (@var "V" $$unsorted)) % 0.64/1.00 (define @t44 () (@list @t43)) % 0.64/1.00 (define @t45 () (lambda (@list @t1 @t16 @t11) (forall @t44 (or (not (_ (_ @t1 @t11) @t43)) (_ @t16 @t43))))) % 0.64/1.00 (define @t46 () (lambda (@list @t1 @t16 @t22) (_ (_ tptp.mnot (_ (_ tptp.mbox @t1) @t24)) @t22))) % 0.64/1.00 (define @t47 () (@var "S" $$unsorted)) % 0.64/1.00 (define @t48 () (_ @t1 @t47)) % 0.64/1.00 (define @t49 () (_ @t48 @t47)) % 0.64/1.00 (define @t50 () (@list @t47)) % 0.64/1.00 (define @t51 () (forall @t50 @t49)) % 0.64/1.00 (define @t52 () (lambda @t6 @t51)) % 0.64/1.00 (define @t53 () (@var "T" $$unsorted)) % 0.64/1.00 (define @t54 () (_ @t1 @t53)) % 0.64/1.00 (define @t55 () (_ @t48 @t53)) % 0.64/1.00 (define @t56 () (lambda @t6 (forall (@list @t47 @t53) (=> @t55 (_ @t54 @t47))))) % 0.64/1.00 (define @t57 () (@list @t53)) % 0.64/1.00 (define @t58 () (exists @t57 @t55)) % 0.64/1.00 (define @t59 () (forall @t50 @t58)) % 0.64/1.00 (define @t60 () (lambda @t6 @t59)) % 0.64/1.00 (define @t61 () (@var "U" $$unsorted)) % 0.64/1.00 (define @t62 () (_ @t48 @t61)) % 0.64/1.00 (define @t63 () (_ @t54 @t61)) % 0.64/1.00 (define @t64 () (and @t55 @t63)) % 0.64/1.00 (define @t65 () (@list @t47 @t53 @t61)) % 0.64/1.00 (define @t66 () (forall @t65 (=> @t64 @t62))) % 0.64/1.00 (define @t67 () (lambda @t6 @t66)) % 0.64/1.00 (define @t68 () (and @t55 @t62)) % 0.64/1.00 (define @t69 () (forall @t65 (=> @t68 @t63))) % 0.64/1.00 (define @t70 () (lambda @t6 @t69)) % 0.64/1.00 (define @t71 () (= @t53 @t61)) % 0.64/1.00 (define @t72 () (lambda @t6 (forall @t65 (=> @t68 @t71)))) % 0.64/1.00 (define @t73 () (@list @t61)) % 0.64/1.00 (define @t74 () (lambda @t6 (forall @t50 (exists @t57 (and @t55 (forall @t73 (=> @t62 @t71))))))) % 0.64/1.00 (define @t75 () (_ @t1 @t61)) % 0.64/1.00 (define @t76 () (_ @t75 @t53)) % 0.64/1.00 (define @t77 () (lambda @t6 (forall @t65 (=> @t55 (exists @t73 (and @t62 @t76)))))) % 0.64/1.00 (define @t78 () (lambda @t6 (forall @t65 (=> @t68 (or @t63 @t71 @t76))))) % 0.64/1.00 (define @t79 () (lambda @t6 (forall @t65 (=> @t68 (exists @t44 (and (_ @t54 @t43) (_ @t75 @t43))))))) % 0.64/1.00 (define @t80 () (@list @t16)) % 0.64/1.00 (define @t81 () (lambda @t80 (forall @t41 @t17))) % 0.64/1.00 (define @t82 () (lambda @t80 (forall @t41 @t18))) % 0.64/1.00 (define @t83 () (lambda @t80 (exists @t41 @t17))) % 0.64/1.00 (define @t84 () (lambda @t80 (exists @t41 @t18))) % 0.64/1.00 (define @t85 () (@var "BOUND_VARIABLE_8366" $$unsorted)) % 0.64/1.00 (define @t86 () (@var "BOUND_VARIABLE_8364" $$unsorted)) % 0.64/1.00 (define @t87 () (@var "BOUND_VARIABLE_8362" $$unsorted)) % 0.64/1.00 (define @t88 () (or (not (_ @t1 @t87 @t86)) (not (_ @t1 @t87 @t85)) (_ @t1 @t86 @t85))) % 0.64/1.00 (define @t89 () (@var "BOUND_VARIABLE_8354" $$unsorted)) % 0.64/1.00 (define @t90 () (@var "BOUND_VARIABLE_8350" $$unsorted)) % 0.64/1.00 (define @t91 () (@var "BOUND_VARIABLE_8352" $$unsorted)) % 0.64/1.00 (define @t92 () (or (not (_ @t1 @t90 @t91)) (not (_ @t1 @t91 @t89)) (_ @t1 @t90 @t89))) % 0.64/1.00 (define @t93 () (@var "BOUND_VARIABLE_8344" $$unsorted)) % 0.64/1.00 (define @t94 () (not (forall @t57 (not (_ @t1 @t93 @t53))))) % 0.64/1.00 (define @t95 () (and @t94 @t92 @t88)) % 0.64/1.00 (define @t96 () (_ @t1 @t53 @t61)) % 0.64/1.00 (define @t97 () (_ @t1 @t47 @t61)) % 0.64/1.00 (define @t98 () (_ @t1 @t47 @t53)) % 0.64/1.00 (define @t99 () (not @t98)) % 0.64/1.00 (define @t100 () (forall @t65 (or @t99 (not @t97) @t96))) % 0.64/1.00 (define @t101 () (not @t100)) % 0.64/1.00 (define @t102 () (_ @t1 @t47 @t47)) % 0.64/1.00 (define @t103 () (forall @t50 @t102)) % 0.64/1.00 (define @t104 () (not @t103)) % 0.64/1.00 (define @t105 () (or @t104 @t101 @t95)) % 0.64/1.00 (define @t106 () (forall (@list @t1 @t93 @t90 @t91 @t89 @t87 @t86 @t85) @t105)) % 0.64/1.00 (define @t107 () (@list @t93 @t90 @t91 @t89 @t87 @t86 @t85)) % 0.64/1.00 (define @t108 () (forall @t107 @t105)) % 0.64/1.00 (define @t109 () (forall (@list @t87 @t86 @t85) @t88)) % 0.64/1.00 (define @t110 () (@list @t47 @t53 @t61)) % 0.64/1.00 (define @t111 () (forall @t107 @t88)) % 0.64/1.00 (define @t112 () (forall (@list @t90 @t91 @t89) @t92)) % 0.64/1.00 (define @t113 () (forall @t107 @t92)) % 0.64/1.00 (define @t114 () (forall (@list @t93) @t94)) % 0.64/1.00 (define @t115 () (forall @t107 @t94)) % 0.64/1.00 (define @t116 () (and @t115 @t113 @t111)) % 0.64/1.00 (define @t117 () (forall @t107 @t95)) % 0.64/1.00 (define @t118 () (or @t104 @t101 @t117)) % 0.64/1.00 (define @t119 () (forall @t65 (or @t99 (not @t96) @t97))) % 0.64/1.00 (define @t120 () (forall @t50 (not (forall @t57 @t99)))) % 0.64/1.00 (define @t121 () (and @t120 @t119 @t100)) % 0.64/1.00 (define @t122 () (or @t104 @t101 @t121)) % 0.64/1.00 (define @t123 () (and @t103 @t100)) % 0.64/1.00 (define @t124 () (_ (lambda @t6 @t100) @t1)) % 0.64/1.00 (define @t125 () (_ (lambda @t6 @t119) @t1)) % 0.64/1.00 (define @t126 () (_ (lambda @t6 @t120) @t1)) % 0.64/1.00 (define @t127 () (and @t126 @t125 @t124)) % 0.64/1.00 (define @t128 () (_ (lambda @t6 @t103) @t1)) % 0.64/1.00 (define @t129 () (and @t128 @t124)) % 0.64/1.00 (define @t130 () (=> @t129 @t127)) % 0.64/1.00 (define @t131 () (forall @t6 @t130)) % 0.64/1.00 (define @t132 () (not @t62)) % 0.64/1.00 (define @t133 () (not @t55)) % 0.64/1.00 (define @t134 () (or @t133 @t132 @t63)) % 0.64/1.00 (define @t135 () (not @t63)) % 0.64/1.00 (define @t136 () (or @t133 @t135 @t62)) % 0.64/1.00 (define @t137 () (forall @t57 @t133)) % 0.64/1.00 (define @t138 () (not @t137)) % 0.64/1.00 (define @t139 () (@quantifiers_skolemize @t106 0)) % 0.64/1.00 (define @t140 () (forall @t65 (or (not (_ @t139 @t47 @t53)) (not (_ @t139 @t47 @t61)) (_ @t139 @t53 @t61)))) % 0.64/1.00 (define @t141 () (@quantifiers_skolemize @t106 7)) % 0.64/1.00 (define @t142 () (@quantifiers_skolemize @t106 6)) % 0.64/1.00 (define @t143 () (@quantifiers_skolemize @t106 5)) % 0.64/1.00 (define @t144 () (or (not (_ @t139 @t143 @t142)) (not (_ @t139 @t143 @t141)) (_ @t139 @t142 @t141))) % 0.64/1.00 (define @t145 () (@quantifiers_skolemize @t106 4)) % 0.64/1.00 (define @t146 () (@quantifiers_skolemize @t106 2)) % 0.64/1.00 (define @t147 () (_ @t139 @t146 @t145)) % 0.64/1.00 (define @t148 () (@quantifiers_skolemize @t106 3)) % 0.64/1.00 (define @t149 () (_ @t139 @t148 @t145)) % 0.64/1.00 (define @t150 () (not @t149)) % 0.64/1.00 (define @t151 () (_ @t139 @t146 @t148)) % 0.64/1.00 (define @t152 () (not @t151)) % 0.64/1.00 (define @t153 () (or @t152 @t150 @t147)) % 0.64/1.00 (define @t154 () (@quantifiers_skolemize @t106 1)) % 0.64/1.00 (define @t155 () (forall @t57 (not (_ @t139 @t154 @t53)))) % 0.64/1.00 (define @t156 () (not @t155)) % 0.64/1.00 (define @t157 () (and @t156 @t153 @t144)) % 0.64/1.00 (define @t158 () (not @t140)) % 0.64/1.00 (define @t159 () (forall @t50 (_ @t139 @t47 @t47))) % 0.64/1.00 (define @t160 () (not @t159)) % 0.64/1.00 (define @t161 () (or @t160 @t158 @t157)) % 0.64/1.00 (define @t162 () (@list true)) % 0.64/1.00 (define @t163 () (@list @t161)) % 0.64/1.00 (define @t164 () (@list @t154)) % 0.64/1.00 (define @t165 () (_ @t139 @t154 @t154)) % 0.64/1.00 (define @t166 () (not @t144)) % 0.64/1.00 (define @t167 () (not @t153)) % 0.64/1.00 (define @t168 () (@list @t153)) % 0.64/1.00 (define @t169 () (_ @t139 @t148 @t146)) % 0.64/1.00 (define @t170 () (_ @t139 @t146 @t146)) % 0.64/1.00 (define @t171 () (not @t170)) % 0.64/1.00 (define @t172 () (or @t152 @t171 @t169)) % 0.64/1.00 (define @t173 () (not @t169)) % 0.64/1.00 (define @t174 () (or @t173 @t150 @t147)) % 0.64/1.00 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.64/1.00 (assume @p2 @t8) % 0.64/1.00 (assume @p3 true) % 0.64/1.00 (step @p4 (= tptp.meq_ind @t12) :rule refl :args (@t12)) % 0.64/1.00 (step @p5 (= tptp.meq_prop @t15) :rule refl :args (@t15)) % 0.64/1.00 (step @p6 (= tptp.mnot @t19) :rule refl :args (@t19)) % 0.64/1.00 (step @p7 (= tptp.mor @t21) :rule refl :args (@t21)) % 0.64/1.00 (step @p8 (= tptp.mand @t27) :rule refl :args (@t27)) % 0.64/1.00 (step @p9 (= tptp.mimplies @t28) :rule refl :args (@t28)) % 0.64/1.00 (step @p10 (= tptp.mimplied @t29) :rule refl :args (@t29)) % 0.64/1.00 (step @p11 (= tptp.mequiv @t30) :rule refl :args (@t30)) % 0.64/1.00 (step @p12 (= tptp.mxor @t31) :rule refl :args (@t31)) % 0.64/1.00 (step @p13 (= tptp.mforall_ind @t34) :rule refl :args (@t34)) % 0.64/1.00 (step @p14 (= tptp.mforall_prop @t38) :rule refl :args (@t38)) % 0.64/1.00 (step @p15 (= tptp.mexists_ind @t39) :rule refl :args (@t39)) % 0.64/1.00 (step @p16 (= tptp.mexists_prop @t40) :rule refl :args (@t40)) % 0.64/1.00 (step @p17 (= tptp.mtrue @t42) :rule refl :args (@t42)) % 0.64/1.00 (step @p18 (= tptp.mbox @t45) :rule refl :args (@t45)) % 0.64/1.00 (step @p19 (= tptp.mdia @t46) :rule refl :args (@t46)) % 0.64/1.00 (step @p20 (= tptp.mreflexive @t52) :rule refl :args (@t52)) % 0.64/1.00 (step @p21 (= tptp.msymmetric @t56) :rule refl :args (@t56)) % 0.64/1.00 (step @p22 (= tptp.mserial @t60) :rule refl :args (@t60)) % 0.64/1.00 (step @p23 (= tptp.mtransitive @t67) :rule refl :args (@t67)) % 0.64/1.00 (step @p24 (= tptp.meuclidean @t70) :rule refl :args (@t70)) % 0.64/1.00 (step @p25 (= tptp.mpartially_functional @t72) :rule refl :args (@t72)) % 0.64/1.00 (step @p26 (= tptp.mfunctional @t74) :rule refl :args (@t74)) % 0.64/1.00 (step @p27 (= tptp.mweakly_dense @t77) :rule refl :args (@t77)) % 0.64/1.00 (step @p28 (= tptp.mweakly_connected @t78) :rule refl :args (@t78)) % 0.64/1.00 (step @p29 (= tptp.mweakly_directed @t79) :rule refl :args (@t79)) % 0.64/1.00 (step @p30 (= tptp.mvalid @t81) :rule refl :args (@t81)) % 0.64/1.00 (step @p31 (= tptp.minvalid @t82) :rule refl :args (@t82)) % 0.64/1.00 (step @p32 (= tptp.msatisfiable @t83) :rule refl :args (@t83)) % 0.64/1.00 (step @p33 (= tptp.mcountersatisfiable @t84) :rule refl :args (@t84)) % 0.64/1.00 (step @p34 :rule quant-merge-prenex :args ((= (forall @t6 @t108) @t106))) % 0.64/1.00 (step @p35 :rule alpha_equiv :args (@t109 (@list @t87 @t86 @t85) @t110)) % 0.64/1.00 (step @p36 :rule quant-unused-vars :args ((= @t111 @t109))) % 0.64/1.00 (step @p37 :rule trans :premises (@p36 @p35)) % 0.64/1.00 (step @p38 :rule alpha_equiv :args (@t112 (@list @t90 @t91 @t89) @t110)) % 0.64/1.00 (step @p39 :rule quant-unused-vars :args ((= @t113 @t112))) % 0.64/1.00 (step @p40 :rule trans :premises (@p39 @p38)) % 0.64/1.00 (step @p41 :rule alpha_equiv :args (@t114 (@list @t93) (@list @t47))) % 0.64/1.00 (step @p42 :rule quant-unused-vars :args ((= @t115 @t114))) % 0.64/1.00 (step @p43 :rule trans :premises (@p42 @p41)) % 0.64/1.00 (step @p44 :rule nary_cong :premises (@p43 @p40 @p37) :args (@t116)) % 0.64/1.00 (step @p45 :rule quant-miniscope-and :args ((= @t117 @t116))) % 0.64/1.00 (step @p46 :rule trans :premises (@p45 @p44)) % 0.64/1.00 (step @p47 :rule refl :args (@t101)) % 0.64/1.00 (step @p48 :rule refl :args (@t104)) % 0.64/1.00 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46) :args (@t118)) % 0.64/1.00 (step @p50 :rule quant-miniscope-or :args ((= @t108 @t118))) % 0.64/1.00 (step @p51 :rule trans :premises (@p50 @p49)) % 0.64/1.00 (step @p52 :rule symm :premises (@p51)) % 0.64/1.00 (step @p53 :rule cong :premises (@p52) :args ((forall @t6 @t122))) % 0.64/1.00 (step @p54 :rule trans :premises (@p53 @p34)) % 0.64/1.00 (step @p55 :rule aci_norm :args ((= (or (or @t104 @t101) @t121) @t122))) % 0.64/1.00 (step @p56 :rule refl :args (@t121)) % 0.64/1.00 (step @p57 :rule bool-and-de-morgan :args (@t103 @t100 true)) % 0.64/1.00 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or (not @t123) @t121))) % 0.64/1.00 (step @p59 :rule trans :premises (@p58 @p55)) % 0.64/1.00 (step @p60 :rule bool-impl-elim :args (@t123 @t121)) % 0.64/1.00 (step @p61 :rule trans :premises (@p60 @p59)) % 0.64/1.00 (step @p62 :rule cong :premises (@p61) :args ((forall @t6 (=> @t123 @t121)))) % 0.64/1.00 (step @p63 :rule trans :premises (@p62 @p54)) % 0.64/1.00 (step @p64 :rule beta-reduce :args ((= @t124 @t100))) % 0.64/1.00 (step @p65 :rule beta-reduce :args ((= @t125 @t119))) % 0.64/1.00 (step @p66 :rule beta-reduce :args ((= @t126 @t120))) % 0.64/1.00 (step @p67 :rule nary_cong :premises (@p66 @p65 @p64) :args (@t127)) % 0.64/1.00 (step @p68 :rule beta-reduce :args ((= @t128 @t103))) % 0.64/1.00 (step @p69 :rule nary_cong :premises (@p68 @p64) :args (@t129)) % 0.64/1.00 (step @p70 :rule cong :premises (@p69 @p67) :args (@t130)) % 0.64/1.00 (step @p71 :rule cong :premises (@p70) :args (@t131)) % 0.64/1.00 (step @p72 :rule trans :premises (@p71 @p63)) % 0.64/1.00 (step @p73 :rule cong :premises (@p72) :args ((not @t131))) % 0.64/1.00 (step @p74 :rule refl :args (@t1)) % 0.64/1.00 (step @p75 :rule refl :args (@t96)) % 0.64/1.00 (step @p76 :rule refl :args (@t63)) % 0.64/1.00 (step @p77 :rule cong :premises (@p76 @p75) :args ((= @t63 @t96))) % 0.64/1.00 (step @p78 :rule symm :premises (@p77)) % 0.64/1.00 (step @p79 :rule eq_resolve :premises (@p76 @p78)) % 0.64/1.00 (step @p80 :rule refl :args (@t97)) % 0.64/1.00 (step @p81 :rule refl :args (@t62)) % 0.64/1.00 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t62 @t97))) % 0.64/1.00 (step @p83 :rule symm :premises (@p82)) % 0.64/1.00 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 0.64/1.00 (step @p85 :rule cong :premises (@p84) :args (@t132)) % 0.64/1.00 (step @p86 :rule refl :args (@t98)) % 0.64/1.00 (step @p87 :rule refl :args (@t55)) % 0.64/1.00 (step @p88 :rule cong :premises (@p87 @p86) :args ((= @t55 @t98))) % 0.64/1.00 (step @p89 :rule symm :premises (@p88)) % 0.64/1.00 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 0.64/1.00 (step @p91 :rule cong :premises (@p90) :args (@t133)) % 0.64/1.00 (step @p92 :rule nary_cong :premises (@p91 @p85 @p79) :args (@t134)) % 0.64/1.00 (step @p93 :rule cong :premises (@p92) :args ((forall @t65 @t134))) % 0.64/1.00 (step @p94 :rule aci_norm :args ((= (or (or @t133 @t132) @t63) @t134))) % 0.64/1.00 (step @p95 :rule bool-and-de-morgan :args (@t55 @t62 true)) % 0.64/1.00 (step @p96 :rule nary_cong :premises (@p95 @p76) :args ((or (not @t68) @t63))) % 0.64/1.00 (step @p97 :rule trans :premises (@p96 @p94)) % 0.64/1.00 (step @p98 :rule bool-impl-elim :args (@t68 @t63)) % 0.64/1.00 (step @p99 :rule trans :premises (@p98 @p97)) % 0.64/1.00 (step @p100 :rule cong :premises (@p99) :args (@t69)) % 0.64/1.00 (step @p101 :rule trans :premises (@p100 @p93)) % 0.64/1.00 (step @p102 :rule cong :premises (@p101) :args (@t70)) % 0.64/1.00 (step @p103 :rule trans :premises (@p24 @p102)) % 0.64/1.00 (step @p104 :rule ho_cong :premises (@p103 @p74)) % 0.64/1.00 (step @p105 :rule cong :premises (@p79) :args (@t135)) % 0.64/1.00 (step @p106 :rule nary_cong :premises (@p91 @p105 @p84) :args (@t136)) % 0.64/1.00 (step @p107 :rule cong :premises (@p106) :args ((forall @t65 @t136))) % 0.64/1.00 (step @p108 :rule aci_norm :args ((= (or (or @t133 @t135) @t62) @t136))) % 0.64/1.00 (step @p109 :rule bool-and-de-morgan :args (@t55 @t63 true)) % 0.64/1.00 (step @p110 :rule nary_cong :premises (@p109 @p81) :args ((or (not @t64) @t62))) % 0.64/1.00 (step @p111 :rule trans :premises (@p110 @p108)) % 0.64/1.00 (step @p112 :rule bool-impl-elim :args (@t64 @t62)) % 0.64/1.00 (step @p113 :rule trans :premises (@p112 @p111)) % 0.64/1.00 (step @p114 :rule cong :premises (@p113) :args (@t66)) % 0.64/1.00 (step @p115 :rule trans :premises (@p114 @p107)) % 0.64/1.00 (step @p116 :rule cong :premises (@p115) :args (@t67)) % 0.64/1.00 (step @p117 :rule trans :premises (@p23 @p116)) % 0.64/1.00 (step @p118 :rule ho_cong :premises (@p117 @p74)) % 0.64/1.00 (step @p119 :rule cong :premises (@p91) :args (@t137)) % 0.64/1.00 (step @p120 :rule cong :premises (@p119) :args (@t138)) % 0.64/1.00 (step @p121 :rule exists-elim :args ((= @t58 @t138))) % 0.64/1.00 (step @p122 :rule trans :premises (@p121 @p120)) % 0.64/1.00 (step @p123 :rule cong :premises (@p122) :args (@t59)) % 0.64/1.00 (step @p124 :rule cong :premises (@p123) :args (@t60)) % 0.64/1.00 (step @p125 :rule trans :premises (@p22 @p124)) % 0.64/1.00 (step @p126 :rule ho_cong :premises (@p125 @p74)) % 0.64/1.00 (step @p127 :rule nary_cong :premises (@p126 @p118 @p104) :args (@t3)) % 0.64/1.00 (step @p128 :rule refl :args (@t102)) % 0.64/1.00 (step @p129 :rule refl :args (@t49)) % 0.64/1.00 (step @p130 :rule cong :premises (@p129 @p128) :args ((= @t49 @t102))) % 0.64/1.00 (step @p131 :rule symm :premises (@p130)) % 0.64/1.00 (step @p132 :rule eq_resolve :premises (@p129 @p131)) % 0.64/1.00 (step @p133 :rule cong :premises (@p132) :args (@t51)) % 0.64/1.00 (step @p134 :rule cong :premises (@p133) :args (@t52)) % 0.64/1.00 (step @p135 :rule trans :premises (@p20 @p134)) % 0.64/1.00 (step @p136 :rule ho_cong :premises (@p135 @p74)) % 0.64/1.00 (step @p137 :rule nary_cong :premises (@p136 @p104) :args (@t4)) % 0.64/1.00 (step @p138 :rule cong :premises (@p137 @p127) :args (@t5)) % 0.64/1.00 (step @p139 :rule cong :premises (@p138) :args (@t7)) % 0.64/1.00 (step @p140 :rule cong :premises (@p139) :args (@t8)) % 0.64/1.00 (step @p141 :rule trans :premises (@p140 @p73)) % 0.64/1.00 (step @p142 :rule eq_resolve :premises (@p2 @p141)) % 0.64/1.00 (step @p143 :rule skolemize :premises (@p142)) % 0.64/1.00 (step @p144 :rule bool-double-not-elim :args (@t140)) % 0.64/1.00 (step @p145 :rule refl :args (@t161)) % 0.64/1.00 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or @t161 (not @t158)))) % 0.64/1.00 (step @p147 :rule cnf_or_neg :args (@t161 1)) % 0.64/1.00 (step @p148 :rule eq_resolve :premises (@p147 @p146)) % 0.64/1.00 (step @p149 :rule reordering :premises (@p148) :args ((or @t140 @t161))) % 0.64/1.00 (step @p150 :rule chain_m_resolution :premises (@p149 @p143) :args (@t140 @t162 @t163)) % 0.64/1.00 (step @p151 :rule instantiate :premises (@p150) :args ((@list @t146 @t148 @t146))) % 0.64/1.00 (step @p152 :rule bool-double-not-elim :args (@t159)) % 0.64/1.00 (step @p153 :rule nary_cong :premises (@p145 @p152) :args ((or @t161 (not @t160)))) % 0.64/1.00 (step @p154 :rule cnf_or_neg :args (@t161 0)) % 0.64/1.00 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 0.64/1.00 (step @p156 :rule reordering :premises (@p155) :args ((or @t159 @t161))) % 0.64/1.00 (step @p157 :rule chain_m_resolution :premises (@p156 @p143) :args (@t159 @t162 @t163)) % 0.64/1.00 (step @p158 :rule instantiate :premises (@p157) :args ((@list @t146))) % 0.64/1.00 (step @p159 :rule instantiate :premises (@p150) :args ((@list @t143 @t142 @t141))) % 0.64/1.00 (step @p160 :rule cnf_or_neg :args (@t161 2)) % 0.64/1.00 (step @p161 :rule chain_m_resolution :premises (@p160 @p143) :args ((not @t157) @t162 @t163)) % 0.64/1.00 (step @p162 :rule instantiate :premises (@p157) :args (@t164)) % 0.64/1.00 (assume-push @p200 @t155) % 0.64/1.00 (step @p164 :rule instantiate :premises (@p200) :args (@t164)) % 0.64/1.00 (step-pop @p201 :rule scope :premises (@p164)) % 0.64/1.00 (step @p165 :rule process_scope :premises (@p201) :args ((not @t165))) % 0.64/1.00 (step @p167 :rule implies_elim :premises (@p165)) % 0.64/1.00 (step @p168 :rule chain_m_resolution :premises (@p167 @p162) :args (@t156 (@list false) (@list @t165))) % 0.64/1.00 (step @p169 :rule refl :args (@t166)) % 0.64/1.00 (step @p170 :rule refl :args (@t167)) % 0.64/1.00 (step @p171 :rule bool-double-not-elim :args (@t155)) % 0.64/1.00 (step @p172 :rule refl :args (@t157)) % 0.64/1.00 (step @p173 :rule nary_cong :premises (@p172 @p171 @p170 @p169) :args ((or @t157 (not @t156) @t167 @t166))) % 0.64/1.00 (step @p174 :rule cnf_and_neg :args (@t157)) % 0.64/1.00 (step @p175 :rule eq_resolve :premises (@p174 @p173)) % 0.64/1.00 (step @p176 :rule reordering :premises (@p175) :args ((or @t155 @t157 @t167 @t166))) % 0.64/1.00 (step @p177 :rule chain_m_resolution :premises (@p176 @p168 @p161 @p159) :args (@t167 (@list true true false) (@list @t155 @t157 @t144))) % 0.64/1.00 (step @p178 :rule bool-double-not-elim :args (@t151)) % 0.64/1.00 (step @p179 :rule refl :args (@t153)) % 0.64/1.00 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or @t153 (not @t152)))) % 0.64/1.00 (step @p181 :rule cnf_or_neg :args (@t153 0)) % 0.64/1.00 (step @p182 :rule eq_resolve :premises (@p181 @p180)) % 0.64/1.00 (step @p183 :rule reordering :premises (@p182) :args ((or @t151 @t153))) % 0.64/1.00 (step @p184 :rule chain_m_resolution :premises (@p183 @p177) :args (@t151 @t162 @t168)) % 0.64/1.00 (step @p185 :rule cnf_or_pos :args (@t172)) % 0.64/1.00 (step @p186 :rule reordering :premises (@p185) :args ((or @t152 @t171 @t169 (not @t172)))) % 0.64/1.00 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p158 @p151) :args (@t169 (@list false false false) (@list @t151 @t170 @t172))) % 0.64/1.00 (step @p188 :rule instantiate :premises (@p150) :args ((@list @t148 @t146 @t145))) % 0.64/1.00 (step @p189 :rule bool-double-not-elim :args (@t149)) % 0.64/1.00 (step @p190 :rule nary_cong :premises (@p179 @p189) :args ((or @t153 (not @t150)))) % 0.64/1.00 (step @p191 :rule cnf_or_neg :args (@t153 1)) % 0.64/1.00 (step @p192 :rule eq_resolve :premises (@p191 @p190)) % 0.64/1.00 (step @p193 :rule reordering :premises (@p192) :args ((or @t149 @t153))) % 0.64/1.00 (step @p194 :rule chain_m_resolution :premises (@p193 @p177) :args (@t149 @t162 @t168)) % 0.64/1.00 (step @p195 :rule cnf_or_neg :args (@t153 2)) % 0.64/1.00 (step @p196 :rule chain_m_resolution :premises (@p195 @p177) :args ((not @t147) @t162 @t168)) % 0.64/1.00 (step @p197 :rule cnf_or_pos :args (@t174)) % 0.64/1.00 (step @p198 :rule reordering :premises (@p197) :args ((or @t150 @t147 @t173 (not @t174)))) % 0.64/1.00 (step @p199 false :rule chain_m_resolution :premises (@p198 @p196 @p194 @p188 @p187) :args (false (@list true false false false) (@list @t147 @t149 @t174 @t169))) % 0.64/1.00 ) % 0.64/1.00 % SZS output end Proof % 0.64/1.01 % cvc5 exiting %------------------------------------------------------------------------------