%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL863^1 : 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 : n002.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 1.63s 1.97s % Output : Proof 1.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL863^1 : 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 % 0.08/0.36 % Computer : n002.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Fri Sep 4 13:15:20 UTC 2026 % 0.08/0.36 % CPUTime : % 0.14/0.43 %----Proving TH0 % 1.63/1.97 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.63/1.97 % SZS status Theorem % 1.63/1.97 % SZS output start Proof % 1.63/1.97 ( % 1.63/1.97 (declare-sort $$unsorted 0) % 1.63/1.97 (declare-sort tptp.mu 0) % 1.63/1.97 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 1.63/1.97 (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" $$unsorted)) (= _let_2 _let_1))))) % 1.63/1.97 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 1.63/1.97 (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)))))) % 1.63/1.97 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 1.63/1.97 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 1.63/1.97 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 1.63/1.97 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 1.63/1.97 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 1.63/1.97 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 1.63/1.97 (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))))))) % 1.63/1.97 (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))))))) % 1.63/1.97 (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)))))) % 1.63/1.97 (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)))))) % 1.63/1.97 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 1.63/1.97 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 1.63/1.97 (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)))))) % 1.63/1.97 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 1.63/1.97 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 1.63/1.97 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 1.63/1.97 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 1.63/1.97 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 1.63/1.97 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 1.63/1.97 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 1.63/1.97 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 1.63/1.97 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 1.63/1.97 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 1.63/1.97 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 1.63/1.97 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 1.63/1.97 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 1.63/1.97 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 1.63/1.97 (define @t1 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 1.63/1.97 (define @t2 () (and (_ tptp.mserial @t1) (_ tptp.mtransitive @t1) (_ tptp.msymmetric @t1))) % 1.63/1.97 (define @t3 () (and (_ tptp.mreflexive @t1) (_ tptp.meuclidean @t1))) % 1.63/1.97 (define @t4 () (= @t3 @t2)) % 1.63/1.97 (define @t5 () (@list @t1)) % 1.63/1.97 (define @t6 () (forall @t5 @t4)) % 1.63/1.97 (define @t7 () (not @t6)) % 1.63/1.97 (define @t8 () (@var "Y" tptp.mu)) % 1.63/1.97 (define @t9 () (@var "X" tptp.mu)) % 1.63/1.97 (define @t10 () (@var "W" $$unsorted)) % 1.63/1.97 (define @t11 () (lambda (@list @t9 @t8 @t10) (= @t9 @t8))) % 1.63/1.97 (define @t12 () (@var "Y" (-> $$unsorted Bool))) % 1.63/1.97 (define @t13 () (@var "X" (-> $$unsorted Bool))) % 1.63/1.97 (define @t14 () (lambda (@list @t13 @t12 @t10) (= (_ @t13 @t10) (_ @t12 @t10)))) % 1.63/1.97 (define @t15 () (@var "Phi" (-> $$unsorted Bool))) % 1.63/1.97 (define @t16 () (_ @t15 @t10)) % 1.63/1.97 (define @t17 () (not @t16)) % 1.63/1.97 (define @t18 () (lambda (@list @t15 @t10) @t17)) % 1.63/1.97 (define @t19 () (@var "Psi" (-> $$unsorted Bool))) % 1.63/1.97 (define @t20 () (lambda (@list @t15 @t19 @t10) (or @t16 (_ @t19 @t10)))) % 1.63/1.97 (define @t21 () (@var "__flatten_var_0" $$unsorted)) % 1.63/1.97 (define @t22 () (_ tptp.mnot @t19)) % 1.63/1.97 (define @t23 () (_ tptp.mnot @t15)) % 1.63/1.97 (define @t24 () (_ tptp.mor @t23)) % 1.63/1.97 (define @t25 () (@list @t15 @t19 @t21)) % 1.63/1.97 (define @t26 () (lambda @t25 (_ (_ tptp.mnot (_ @t24 @t22)) @t21))) % 1.63/1.97 (define @t27 () (lambda @t25 (_ (_ @t24 @t19) @t21))) % 1.63/1.97 (define @t28 () (lambda @t25 (_ (_ (_ tptp.mor @t22) @t15) @t21))) % 1.63/1.97 (define @t29 () (lambda @t25 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t15) @t19)) (_ (_ tptp.mimplies @t19) @t15)) @t21))) % 1.63/1.97 (define @t30 () (lambda @t25 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t15) @t19)) @t21))) % 1.63/1.97 (define @t31 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 1.63/1.97 (define @t32 () (_ @t31 @t9)) % 1.63/1.97 (define @t33 () (lambda (@list @t31 @t10) (forall (@list @t9) (_ @t32 @t10)))) % 1.63/1.97 (define @t34 () (@var "P" (-> $$unsorted Bool))) % 1.63/1.97 (define @t35 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 1.63/1.97 (define @t36 () (_ @t35 @t34)) % 1.63/1.97 (define @t37 () (lambda (@list @t35 @t10) (forall (@list @t34) (_ @t36 @t10)))) % 1.63/1.97 (define @t38 () (lambda (@list @t31 @t21) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t9 @t21) (_ (_ tptp.mnot @t32) @t21)))) @t21))) % 1.63/1.97 (define @t39 () (lambda (@list @t35 @t21) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t34 @t21) (_ (_ tptp.mnot @t36) @t21)))) @t21))) % 1.63/1.97 (define @t40 () (@list @t10)) % 1.63/1.97 (define @t41 () (lambda @t40 true)) % 1.63/1.97 (define @t42 () (@var "V" $$unsorted)) % 1.63/1.97 (define @t43 () (@list @t42)) % 1.63/1.97 (define @t44 () (lambda (@list @t1 @t15 @t10) (forall @t43 (or (not (_ (_ @t1 @t10) @t42)) (_ @t15 @t42))))) % 1.63/1.97 (define @t45 () (lambda (@list @t1 @t15 @t21) (_ (_ tptp.mnot (_ (_ tptp.mbox @t1) @t23)) @t21))) % 1.63/1.97 (define @t46 () (@var "S" $$unsorted)) % 1.63/1.97 (define @t47 () (_ @t1 @t46)) % 1.63/1.97 (define @t48 () (_ @t47 @t46)) % 1.63/1.97 (define @t49 () (@list @t46)) % 1.63/1.97 (define @t50 () (forall @t49 @t48)) % 1.63/1.97 (define @t51 () (lambda @t5 @t50)) % 1.63/1.97 (define @t52 () (@var "T" $$unsorted)) % 1.63/1.97 (define @t53 () (_ @t1 @t52)) % 1.63/1.97 (define @t54 () (_ @t53 @t46)) % 1.63/1.97 (define @t55 () (_ @t47 @t52)) % 1.63/1.97 (define @t56 () (@list @t46 @t52)) % 1.63/1.97 (define @t57 () (forall @t56 (=> @t55 @t54))) % 1.63/1.97 (define @t58 () (lambda @t5 @t57)) % 1.63/1.97 (define @t59 () (@list @t52)) % 1.63/1.97 (define @t60 () (exists @t59 @t55)) % 1.63/1.97 (define @t61 () (forall @t49 @t60)) % 1.63/1.97 (define @t62 () (lambda @t5 @t61)) % 1.63/1.97 (define @t63 () (@var "U" $$unsorted)) % 1.63/1.97 (define @t64 () (_ @t47 @t63)) % 1.63/1.97 (define @t65 () (_ @t53 @t63)) % 1.63/1.97 (define @t66 () (and @t55 @t65)) % 1.63/1.97 (define @t67 () (@list @t46 @t52 @t63)) % 1.63/1.97 (define @t68 () (forall @t67 (=> @t66 @t64))) % 1.63/1.97 (define @t69 () (lambda @t5 @t68)) % 1.63/1.97 (define @t70 () (and @t55 @t64)) % 1.63/1.97 (define @t71 () (forall @t67 (=> @t70 @t65))) % 1.63/1.97 (define @t72 () (lambda @t5 @t71)) % 1.63/1.97 (define @t73 () (= @t52 @t63)) % 1.63/1.97 (define @t74 () (lambda @t5 (forall @t67 (=> @t70 @t73)))) % 1.63/1.97 (define @t75 () (@list @t63)) % 1.63/1.97 (define @t76 () (lambda @t5 (forall @t49 (exists @t59 (and @t55 (forall @t75 (=> @t64 @t73))))))) % 1.63/1.97 (define @t77 () (_ @t1 @t63)) % 1.63/1.97 (define @t78 () (_ @t77 @t52)) % 1.63/1.97 (define @t79 () (lambda @t5 (forall @t67 (=> @t55 (exists @t75 (and @t64 @t78)))))) % 1.63/1.97 (define @t80 () (lambda @t5 (forall @t67 (=> @t70 (or @t65 @t73 @t78))))) % 1.63/1.97 (define @t81 () (lambda @t5 (forall @t67 (=> @t70 (exists @t43 (and (_ @t53 @t42) (_ @t77 @t42))))))) % 1.63/1.97 (define @t82 () (@list @t15)) % 1.63/1.97 (define @t83 () (lambda @t82 (forall @t40 @t16))) % 1.63/1.97 (define @t84 () (lambda @t82 (forall @t40 @t17))) % 1.63/1.97 (define @t85 () (lambda @t82 (exists @t40 @t16))) % 1.63/1.97 (define @t86 () (lambda @t82 (exists @t40 @t17))) % 1.63/1.97 (define @t87 () (_ @t1 @t52 @t63)) % 1.63/1.97 (define @t88 () (_ @t1 @t46 @t63)) % 1.63/1.97 (define @t89 () (_ @t1 @t46 @t52)) % 1.63/1.97 (define @t90 () (not @t89)) % 1.63/1.97 (define @t91 () (forall @t67 (or @t90 (not @t88) @t87))) % 1.63/1.97 (define @t92 () (_ @t1 @t46 @t46)) % 1.63/1.97 (define @t93 () (forall @t49 @t92)) % 1.63/1.97 (define @t94 () (_ @t1 @t52 @t46)) % 1.63/1.97 (define @t95 () (forall @t56 (or @t90 @t94))) % 1.63/1.97 (define @t96 () (forall @t67 (or @t90 (not @t87) @t88))) % 1.63/1.97 (define @t97 () (forall @t49 (not (forall @t59 @t90)))) % 1.63/1.97 (define @t98 () (@quantifiers_skolemize (forall @t5 (= (and @t97 @t96 @t95) (and @t93 @t91))) 0)) % 1.63/1.97 (define @t99 () (not (_ @t98 @t46 @t52))) % 1.63/1.97 (define @t100 () (forall @t56 (or @t99 (_ @t98 @t52 @t46)))) % 1.63/1.97 (define @t101 () (_ @t98 @t46 @t63)) % 1.63/1.97 (define @t102 () (_ @t98 @t52 @t63)) % 1.63/1.97 (define @t103 () (forall @t67 (or @t99 (not @t102) @t101))) % 1.63/1.97 (define @t104 () (forall @t49 (not (forall @t59 @t99)))) % 1.63/1.97 (define @t105 () (and @t104 @t103 @t100)) % 1.63/1.97 (define @t106 () (not @t105)) % 1.63/1.97 (define @t107 () (@quantifiers_skolemize @t100 0)) % 1.63/1.97 (define @t108 () (@quantifiers_skolemize @t100 1)) % 1.63/1.97 (define @t109 () (_ @t98 @t108 @t107)) % 1.63/1.97 (define @t110 () (_ @t98 @t107 @t108)) % 1.63/1.97 (define @t111 () (not @t110)) % 1.63/1.97 (define @t112 () (or @t111 @t109)) % 1.63/1.97 (define @t113 () (not @t112)) % 1.63/1.97 (define @t114 () (not @t100)) % 1.63/1.97 (define @t115 () (_ (lambda @t5 @t91) @t1)) % 1.63/1.97 (define @t116 () (_ (lambda @t5 @t93) @t1)) % 1.63/1.97 (define @t117 () (and @t116 @t115)) % 1.63/1.97 (define @t118 () (_ (lambda @t5 @t95) @t1)) % 1.63/1.97 (define @t119 () (_ (lambda @t5 @t96) @t1)) % 1.63/1.97 (define @t120 () (_ (lambda @t5 @t97) @t1)) % 1.63/1.97 (define @t121 () (and @t120 @t119 @t118)) % 1.63/1.97 (define @t122 () (forall @t5 (= @t117 @t121))) % 1.63/1.97 (define @t123 () (not @t55)) % 1.63/1.97 (define @t124 () (or @t123 @t54)) % 1.63/1.97 (define @t125 () (not @t65)) % 1.63/1.97 (define @t126 () (or @t123 @t125 @t64)) % 1.63/1.97 (define @t127 () (forall @t59 @t123)) % 1.63/1.97 (define @t128 () (not @t127)) % 1.63/1.97 (define @t129 () (not @t64)) % 1.63/1.97 (define @t130 () (or @t123 @t129 @t65)) % 1.63/1.97 (define @t131 () (forall @t67 (or @t99 (not @t101) @t102))) % 1.63/1.97 (define @t132 () (forall @t49 (_ @t98 @t46 @t46))) % 1.63/1.97 (define @t133 () (and @t132 @t131)) % 1.63/1.97 (define @t134 () (= @t105 @t133)) % 1.63/1.97 (define @t135 () (not @t133)) % 1.63/1.97 (define @t136 () (_ @t98 @t107 @t107)) % 1.63/1.97 (define @t137 () (not @t136)) % 1.63/1.97 (define @t138 () (or @t111 @t137 @t109)) % 1.63/1.97 (define @t139 () (@quantifiers_skolemize @t103 2)) % 1.63/1.97 (define @t140 () (@quantifiers_skolemize @t103 0)) % 1.63/1.97 (define @t141 () (_ @t98 @t140 @t139)) % 1.63/1.97 (define @t142 () (@quantifiers_skolemize @t103 1)) % 1.63/1.97 (define @t143 () (_ @t98 @t142 @t139)) % 1.63/1.97 (define @t144 () (not @t143)) % 1.63/1.97 (define @t145 () (_ @t98 @t140 @t142)) % 1.63/1.97 (define @t146 () (not @t145)) % 1.63/1.97 (define @t147 () (or @t146 @t144 @t141)) % 1.63/1.97 (define @t148 () (not @t147)) % 1.63/1.97 (define @t149 () (not @t103)) % 1.63/1.97 (define @t150 () (_ @t98 @t142 @t140)) % 1.63/1.97 (define @t151 () (or @t146 @t150)) % 1.63/1.97 (define @t152 () (@list false)) % 1.63/1.97 (define @t153 () (not @t150)) % 1.63/1.97 (define @t154 () (or @t153 @t144 @t141)) % 1.63/1.97 (define @t155 () (@quantifiers_skolemize @t131 2)) % 1.63/1.97 (define @t156 () (@quantifiers_skolemize @t131 0)) % 1.63/1.97 (define @t157 () (@quantifiers_skolemize @t131 1)) % 1.63/1.97 (define @t158 () (_ @t98 @t157 @t155)) % 1.63/1.97 (define @t159 () (_ @t98 @t156 @t155)) % 1.63/1.97 (define @t160 () (not @t159)) % 1.63/1.97 (define @t161 () (_ @t98 @t157 @t156)) % 1.63/1.97 (define @t162 () (not @t161)) % 1.63/1.97 (define @t163 () (or @t162 @t160 @t158)) % 1.63/1.97 (define @t164 () (@quantifiers_skolemize @t132 0)) % 1.63/1.97 (define @t165 () (forall @t59 (not (_ @t98 @t164 @t52)))) % 1.63/1.97 (define @t166 () (@quantifiers_skolemize @t165 0)) % 1.63/1.97 (define @t167 () (_ @t98 @t164 @t164)) % 1.63/1.97 (define @t168 () (_ @t98 @t166 @t164)) % 1.63/1.97 (define @t169 () (not @t168)) % 1.63/1.97 (define @t170 () (_ @t98 @t164 @t166)) % 1.63/1.97 (define @t171 () (not @t170)) % 1.63/1.97 (define @t172 () (or @t171 @t169 @t167)) % 1.63/1.97 (define @t173 () (not @t165)) % 1.63/1.97 (define @t174 () (not @t171)) % 1.63/1.97 (define @t175 () (or @t171 @t168)) % 1.63/1.97 (define @t176 () (_ @t98 @t156 @t157)) % 1.63/1.97 (define @t177 () (not @t176)) % 1.63/1.97 (define @t178 () (or @t177 @t161)) % 1.63/1.97 (define @t179 () (not @t167)) % 1.63/1.97 (define @t180 () (not @t132)) % 1.63/1.97 (define @t181 () (or @t177 @t160 @t158)) % 1.63/1.97 (define @t182 () (not @t181)) % 1.63/1.97 (define @t183 () (not @t131)) % 1.63/1.97 (define @t184 () (not @t104)) % 1.63/1.97 (define @t185 () (@list false false)) % 1.63/1.97 (define @t186 () (@quantifiers_skolemize @t104 0)) % 1.63/1.97 (define @t187 () (forall @t59 (not (_ @t98 @t186 @t52)))) % 1.63/1.97 (define @t188 () (not (not @t187))) % 1.63/1.97 (define @t189 () (@list true)) % 1.63/1.97 (define @t190 () (@list @t104)) % 1.63/1.97 (define @t191 () (@list @t186)) % 1.63/1.97 (define @t192 () (_ @t98 @t186 @t186)) % 1.63/1.97 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 1.63/1.97 (assume @p2 @t7) % 1.63/1.97 (assume @p3 true) % 1.63/1.97 (step @p4 (= tptp.meq_ind @t11) :rule refl :args (@t11)) % 1.63/1.97 (step @p5 (= tptp.meq_prop @t14) :rule refl :args (@t14)) % 1.63/1.97 (step @p6 (= tptp.mnot @t18) :rule refl :args (@t18)) % 1.63/1.97 (step @p7 (= tptp.mor @t20) :rule refl :args (@t20)) % 1.63/1.97 (step @p8 (= tptp.mand @t26) :rule refl :args (@t26)) % 1.63/1.97 (step @p9 (= tptp.mimplies @t27) :rule refl :args (@t27)) % 1.63/1.97 (step @p10 (= tptp.mimplied @t28) :rule refl :args (@t28)) % 1.63/1.97 (step @p11 (= tptp.mequiv @t29) :rule refl :args (@t29)) % 1.63/1.97 (step @p12 (= tptp.mxor @t30) :rule refl :args (@t30)) % 1.63/1.97 (step @p13 (= tptp.mforall_ind @t33) :rule refl :args (@t33)) % 1.63/1.97 (step @p14 (= tptp.mforall_prop @t37) :rule refl :args (@t37)) % 1.63/1.97 (step @p15 (= tptp.mexists_ind @t38) :rule refl :args (@t38)) % 1.63/1.97 (step @p16 (= tptp.mexists_prop @t39) :rule refl :args (@t39)) % 1.63/1.97 (step @p17 (= tptp.mtrue @t41) :rule refl :args (@t41)) % 1.63/1.97 (step @p18 (= tptp.mbox @t44) :rule refl :args (@t44)) % 1.63/1.97 (step @p19 (= tptp.mdia @t45) :rule refl :args (@t45)) % 1.63/1.97 (step @p20 (= tptp.mreflexive @t51) :rule refl :args (@t51)) % 1.63/1.97 (step @p21 (= tptp.msymmetric @t58) :rule refl :args (@t58)) % 1.63/1.97 (step @p22 (= tptp.mserial @t62) :rule refl :args (@t62)) % 1.63/1.97 (step @p23 (= tptp.mtransitive @t69) :rule refl :args (@t69)) % 1.63/1.97 (step @p24 (= tptp.meuclidean @t72) :rule refl :args (@t72)) % 1.63/1.97 (step @p25 (= tptp.mpartially_functional @t74) :rule refl :args (@t74)) % 1.63/1.97 (step @p26 (= tptp.mfunctional @t76) :rule refl :args (@t76)) % 1.63/1.97 (step @p27 (= tptp.mweakly_dense @t79) :rule refl :args (@t79)) % 1.63/1.97 (step @p28 (= tptp.mweakly_connected @t80) :rule refl :args (@t80)) % 1.63/1.97 (step @p29 (= tptp.mweakly_directed @t81) :rule refl :args (@t81)) % 1.63/1.97 (step @p30 (= tptp.mvalid @t83) :rule refl :args (@t83)) % 1.63/1.97 (step @p31 (= tptp.minvalid @t84) :rule refl :args (@t84)) % 1.63/1.97 (step @p32 (= tptp.msatisfiable @t85) :rule refl :args (@t85)) % 1.63/1.97 (step @p33 (= tptp.mcountersatisfiable @t86) :rule refl :args (@t86)) % 1.63/1.97 (step @p34 :rule cnf_and_pos :args (@t105 2)) % 1.63/1.97 (step @p35 :rule reordering :premises (@p34) :args ((or @t100 @t106))) % 1.63/1.97 (step @p36 :rule refl :args (@t113)) % 1.63/1.97 (step @p37 :rule bool-double-not-elim :args (@t100)) % 1.63/1.97 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or (not @t114) @t113))) % 1.63/1.97 (assume-push @p317 @t114) % 1.63/1.97 (step @p40 :rule skolemize :premises (@p317)) % 1.63/1.97 (step-pop @p318 :rule scope :premises (@p40)) % 1.63/1.97 (step @p41 :rule process_scope :premises (@p318) :args (@t113)) % 1.63/1.97 (step @p43 :rule implies_elim :premises (@p41)) % 1.63/1.97 (step @p44 :rule eq_resolve :premises (@p43 @p38)) % 1.63/1.97 (step @p45 :rule beta-reduce :args ((= @t115 @t91))) % 1.63/1.97 (step @p46 :rule beta-reduce :args ((= @t116 @t93))) % 1.63/1.97 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t117)) % 1.63/1.97 (step @p48 :rule beta-reduce :args ((= @t118 @t95))) % 1.63/1.97 (step @p49 :rule beta-reduce :args ((= @t119 @t96))) % 1.63/1.97 (step @p50 :rule beta-reduce :args ((= @t120 @t97))) % 1.63/1.97 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args (@t121)) % 1.63/1.97 (step @p52 :rule cong :premises (@p51 @p47) :args ((= @t121 @t117))) % 1.63/1.97 (step @p53 :rule eq-symm :args (@t117 @t121)) % 1.63/1.97 (step @p54 :rule trans :premises (@p53 @p52)) % 1.63/1.97 (step @p55 :rule cong :premises (@p54) :args (@t122)) % 1.63/1.97 (step @p56 :rule cong :premises (@p55) :args ((not @t122))) % 1.63/1.97 (step @p57 :rule refl :args (@t1)) % 1.63/1.97 (step @p58 :rule refl :args (@t94)) % 1.63/1.97 (step @p59 :rule refl :args (@t54)) % 1.63/1.97 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t54 @t94))) % 1.63/1.97 (step @p61 :rule symm :premises (@p60)) % 1.63/1.97 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 1.63/1.97 (step @p63 :rule refl :args (@t89)) % 1.63/1.97 (step @p64 :rule refl :args (@t55)) % 1.63/1.97 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t55 @t89))) % 1.63/1.97 (step @p66 :rule symm :premises (@p65)) % 1.63/1.97 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 1.63/1.97 (step @p68 :rule cong :premises (@p67) :args (@t123)) % 1.63/1.97 (step @p69 :rule nary_cong :premises (@p68 @p62) :args (@t124)) % 1.63/1.97 (step @p70 :rule cong :premises (@p69) :args ((forall @t56 @t124))) % 1.63/1.97 (step @p71 :rule bool-impl-elim :args (@t55 @t54)) % 1.63/1.97 (step @p72 :rule cong :premises (@p71) :args (@t57)) % 1.63/1.97 (step @p73 :rule trans :premises (@p72 @p70)) % 1.63/1.97 (step @p74 :rule cong :premises (@p73) :args (@t58)) % 1.63/1.97 (step @p75 :rule trans :premises (@p21 @p74)) % 1.63/1.97 (step @p76 :rule ho_cong :premises (@p75 @p57)) % 1.63/1.97 (step @p77 :rule refl :args (@t88)) % 1.63/1.97 (step @p78 :rule refl :args (@t64)) % 1.63/1.97 (step @p79 :rule cong :premises (@p78 @p77) :args ((= @t64 @t88))) % 1.63/1.97 (step @p80 :rule symm :premises (@p79)) % 1.63/1.97 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 1.63/1.97 (step @p82 :rule refl :args (@t87)) % 1.63/1.97 (step @p83 :rule refl :args (@t65)) % 1.63/1.97 (step @p84 :rule cong :premises (@p83 @p82) :args ((= @t65 @t87))) % 1.63/1.97 (step @p85 :rule symm :premises (@p84)) % 1.63/1.97 (step @p86 :rule eq_resolve :premises (@p83 @p85)) % 1.63/1.97 (step @p87 :rule cong :premises (@p86) :args (@t125)) % 1.63/1.97 (step @p88 :rule nary_cong :premises (@p68 @p87 @p81) :args (@t126)) % 1.63/1.97 (step @p89 :rule cong :premises (@p88) :args ((forall @t67 @t126))) % 1.63/1.97 (step @p90 :rule aci_norm :args ((= (or (or @t123 @t125) @t64) @t126))) % 1.63/1.97 (step @p91 :rule bool-and-de-morgan :args (@t55 @t65 true)) % 1.63/1.97 (step @p92 :rule nary_cong :premises (@p91 @p78) :args ((or (not @t66) @t64))) % 1.63/1.97 (step @p93 :rule trans :premises (@p92 @p90)) % 1.63/1.97 (step @p94 :rule bool-impl-elim :args (@t66 @t64)) % 1.63/1.97 (step @p95 :rule trans :premises (@p94 @p93)) % 1.63/1.97 (step @p96 :rule cong :premises (@p95) :args (@t68)) % 1.63/1.97 (step @p97 :rule trans :premises (@p96 @p89)) % 1.63/1.97 (step @p98 :rule cong :premises (@p97) :args (@t69)) % 1.63/1.97 (step @p99 :rule trans :premises (@p23 @p98)) % 1.63/1.97 (step @p100 :rule ho_cong :premises (@p99 @p57)) % 1.63/1.97 (step @p101 :rule cong :premises (@p68) :args (@t127)) % 1.63/1.97 (step @p102 :rule cong :premises (@p101) :args (@t128)) % 1.63/1.97 (step @p103 :rule exists-elim :args ((= @t60 @t128))) % 1.63/1.97 (step @p104 :rule trans :premises (@p103 @p102)) % 1.63/1.97 (step @p105 :rule cong :premises (@p104) :args (@t61)) % 1.63/1.97 (step @p106 :rule cong :premises (@p105) :args (@t62)) % 1.63/1.97 (step @p107 :rule trans :premises (@p22 @p106)) % 1.63/1.97 (step @p108 :rule ho_cong :premises (@p107 @p57)) % 1.63/1.97 (step @p109 :rule nary_cong :premises (@p108 @p100 @p76) :args (@t2)) % 1.63/1.97 (step @p110 :rule cong :premises (@p81) :args (@t129)) % 1.63/1.97 (step @p111 :rule nary_cong :premises (@p68 @p110 @p86) :args (@t130)) % 1.63/1.97 (step @p112 :rule cong :premises (@p111) :args ((forall @t67 @t130))) % 1.63/1.97 (step @p113 :rule aci_norm :args ((= (or (or @t123 @t129) @t65) @t130))) % 1.63/1.97 (step @p114 :rule bool-and-de-morgan :args (@t55 @t64 true)) % 1.63/1.97 (step @p115 :rule nary_cong :premises (@p114 @p83) :args ((or (not @t70) @t65))) % 1.63/1.97 (step @p116 :rule trans :premises (@p115 @p113)) % 1.63/1.97 (step @p117 :rule bool-impl-elim :args (@t70 @t65)) % 1.63/1.97 (step @p118 :rule trans :premises (@p117 @p116)) % 1.63/1.97 (step @p119 :rule cong :premises (@p118) :args (@t71)) % 1.63/1.97 (step @p120 :rule trans :premises (@p119 @p112)) % 1.63/1.97 (step @p121 :rule cong :premises (@p120) :args (@t72)) % 1.63/1.97 (step @p122 :rule trans :premises (@p24 @p121)) % 1.63/1.97 (step @p123 :rule ho_cong :premises (@p122 @p57)) % 1.63/1.97 (step @p124 :rule refl :args (@t92)) % 1.63/1.97 (step @p125 :rule refl :args (@t48)) % 1.63/1.97 (step @p126 :rule cong :premises (@p125 @p124) :args ((= @t48 @t92))) % 1.63/1.97 (step @p127 :rule symm :premises (@p126)) % 1.63/1.97 (step @p128 :rule eq_resolve :premises (@p125 @p127)) % 1.63/1.97 (step @p129 :rule cong :premises (@p128) :args (@t50)) % 1.63/1.97 (step @p130 :rule cong :premises (@p129) :args (@t51)) % 1.63/1.97 (step @p131 :rule trans :premises (@p20 @p130)) % 1.63/1.97 (step @p132 :rule ho_cong :premises (@p131 @p57)) % 1.63/1.97 (step @p133 :rule nary_cong :premises (@p132 @p123) :args (@t3)) % 1.63/1.97 (step @p134 :rule cong :premises (@p133 @p109) :args (@t4)) % 1.63/1.97 (step @p135 :rule cong :premises (@p134) :args (@t6)) % 1.63/1.97 (step @p136 :rule cong :premises (@p135) :args (@t7)) % 1.63/1.97 (step @p137 :rule trans :premises (@p136 @p56)) % 1.63/1.97 (step @p138 :rule eq_resolve :premises (@p2 @p137)) % 1.63/1.97 (step @p139 :rule skolemize :premises (@p138)) % 1.63/1.97 (step @p140 :rule cnf_equiv_neg1 :args (@t134)) % 1.63/1.97 (step @p141 :rule reordering :premises (@p140) :args ((or @t105 @t133 @t134))) % 1.63/1.97 (step @p142 :rule bool-double-not-elim :args (@t110)) % 1.63/1.97 (step @p143 :rule refl :args (@t112)) % 1.63/1.97 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t112 (not @t111)))) % 1.63/1.97 (step @p145 :rule cnf_or_neg :args (@t112 0)) % 1.63/1.97 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 1.63/1.97 (step @p147 :rule reordering :premises (@p146) :args ((or @t110 @t112))) % 1.63/1.97 (step @p148 :rule cnf_or_neg :args (@t112 1)) % 1.63/1.97 (step @p149 :rule cnf_and_pos :args (@t133 0)) % 1.63/1.97 (step @p150 :rule reordering :premises (@p149) :args ((or @t132 @t135))) % 1.63/1.97 (step @p151 :rule cnf_and_pos :args (@t133 1)) % 1.63/1.97 (step @p152 :rule reordering :premises (@p151) :args ((or @t131 @t135))) % 1.63/1.97 (assume-push @p319 @t131) % 1.63/1.97 (step @p154 :rule instantiate :premises (@p319) :args ((@list @t107 @t108 @t107))) % 1.63/1.97 (step-pop @p320 :rule scope :premises (@p154)) % 1.63/1.97 (step @p155 :rule process_scope :premises (@p320) :args (@t138)) % 1.63/1.97 (step @p157 :rule implies_elim :premises (@p155)) % 1.63/1.97 (step @p158 :rule cnf_or_pos :args (@t138)) % 1.63/1.97 (step @p159 :rule reordering :premises (@p158) :args ((or @t111 @t109 @t137 (not @t138)))) % 1.63/1.97 (assume-push @p321 @t132) % 1.63/1.97 (step @p161 :rule instantiate :premises (@p321) :args ((@list @t107))) % 1.63/1.97 (step-pop @p322 :rule scope :premises (@p161)) % 1.63/1.97 (step @p162 :rule process_scope :premises (@p322) :args (@t136)) % 1.63/1.97 (step @p164 :rule implies_elim :premises (@p162)) % 1.63/1.97 (step @p165 :rule chain_m_resolution :premises (@p164 @p159 @p157 @p152 @p150 @p148 @p147 @p141 @p139 @p44 @p35) :args (@t100 (@list true false false false true false false true true true) (@list @t136 @t138 @t131 @t132 @t109 @t110 @t133 @t134 @t112 @t105))) % 1.63/1.97 (step @p166 :rule cnf_and_pos :args (@t105 1)) % 1.63/1.97 (step @p167 :rule reordering :premises (@p166) :args ((or @t103 @t106))) % 1.63/1.97 (step @p168 :rule refl :args (@t148)) % 1.63/1.97 (step @p169 :rule bool-double-not-elim :args (@t103)) % 1.63/1.97 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or (not @t149) @t148))) % 1.63/1.97 (assume-push @p323 @t149) % 1.63/1.97 (step @p172 :rule skolemize :premises (@p323)) % 1.63/1.97 (step-pop @p324 :rule scope :premises (@p172)) % 1.63/1.97 (step @p173 :rule process_scope :premises (@p324) :args (@t148)) % 1.63/1.97 (step @p175 :rule implies_elim :premises (@p173)) % 1.63/1.97 (step @p176 :rule eq_resolve :premises (@p175 @p170)) % 1.63/1.97 (step @p177 :rule bool-double-not-elim :args (@t145)) % 1.63/1.97 (step @p178 :rule refl :args (@t147)) % 1.63/1.97 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or @t147 (not @t146)))) % 1.63/1.97 (step @p180 :rule cnf_or_neg :args (@t147 0)) % 1.63/1.97 (step @p181 :rule eq_resolve :premises (@p180 @p179)) % 1.63/1.97 (step @p182 :rule reordering :premises (@p181) :args ((or @t145 @t147))) % 1.63/1.97 (step @p183 :rule bool-double-not-elim :args (@t143)) % 1.63/1.97 (step @p184 :rule nary_cong :premises (@p178 @p183) :args ((or @t147 (not @t144)))) % 1.63/1.97 (step @p185 :rule cnf_or_neg :args (@t147 1)) % 1.63/1.97 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 1.63/1.97 (step @p187 :rule reordering :premises (@p186) :args ((or @t143 @t147))) % 1.63/1.97 (step @p188 :rule cnf_or_neg :args (@t147 2)) % 1.63/1.97 (assume-push @p325 @t100) % 1.63/1.97 (step @p190 :rule instantiate :premises (@p325) :args ((@list @t140 @t142))) % 1.63/1.97 (step-pop @p326 :rule scope :premises (@p190)) % 1.63/1.97 (step @p191 :rule process_scope :premises (@p326) :args (@t151)) % 1.63/1.97 (step @p193 :rule implies_elim :premises (@p191)) % 1.63/1.97 (step @p194 :rule chain_m_resolution :premises (@p193 @p165) :args (@t151 @t152 (@list @t100))) % 1.63/1.97 (step @p195 :rule cnf_or_pos :args (@t151)) % 1.63/1.97 (step @p196 :rule reordering :premises (@p195) :args ((or @t146 @t150 (not @t151)))) % 1.63/1.97 (step @p197 :rule cnf_or_pos :args (@t154)) % 1.63/1.97 (step @p198 :rule reordering :premises (@p197) :args ((or @t144 @t141 @t153 (not @t154)))) % 1.63/1.97 (assume-push @p327 @t131) % 1.63/1.97 (step @p200 :rule instantiate :premises (@p327) :args ((@list @t142 @t140 @t139))) % 1.63/1.97 (step-pop @p328 :rule scope :premises (@p200)) % 1.63/1.97 (step @p201 :rule process_scope :premises (@p328) :args (@t154)) % 1.63/1.98 (step @p203 :rule implies_elim :premises (@p201)) % 1.63/1.98 (step @p204 :rule chain_m_resolution :premises (@p203 @p198 @p196 @p194 @p152 @p188 @p187 @p182 @p141 @p139 @p176 @p167) :args (@t103 (@list true false false false true false false false true true true) (@list @t154 @t150 @t151 @t131 @t141 @t143 @t145 @t133 @t134 @t147 @t105))) % 1.63/1.98 (assume-push @p329 @t103) % 1.63/1.98 (step @p206 :rule instantiate :premises (@p329) :args ((@list @t157 @t156 @t155))) % 1.63/1.98 (step-pop @p330 :rule scope :premises (@p206)) % 1.63/1.98 (step @p207 :rule process_scope :premises (@p330) :args (@t163)) % 1.63/1.98 (step @p209 :rule implies_elim :premises (@p207)) % 1.63/1.98 (assume-push @p331 @t103) % 1.63/1.98 (step @p211 :rule instantiate :premises (@p331) :args ((@list @t164 @t166 @t164))) % 1.63/1.98 (step-pop @p332 :rule scope :premises (@p211)) % 1.63/1.98 (step @p212 :rule process_scope :premises (@p332) :args (@t172)) % 1.63/1.98 (step @p214 :rule implies_elim :premises (@p212)) % 1.63/1.98 (assume-push @p333 @t104) % 1.63/1.98 (step @p216 :rule instantiate :premises (@p333) :args ((@list @t164))) % 1.63/1.98 (step-pop @p334 :rule scope :premises (@p216)) % 1.63/1.98 (step @p217 :rule process_scope :premises (@p334) :args (@t173)) % 1.63/1.98 (step @p219 :rule implies_elim :premises (@p217)) % 1.63/1.98 (step @p220 :rule refl :args (@t170)) % 1.63/1.98 (step @p221 :rule bool-double-not-elim :args (@t165)) % 1.63/1.98 (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or (not @t173) @t170))) % 1.63/1.98 (step @p223 :rule bool-double-not-elim :args (@t170)) % 1.63/1.98 (step @p224 :rule refl :args (@t173)) % 1.63/1.98 (step @p225 :rule cong :premises (@p224 @p223) :args ((=> @t173 @t174))) % 1.63/1.98 (assume-push @p335 @t173) % 1.63/1.98 (step @p227 :rule skolemize :premises (@p335)) % 1.63/1.98 (step-pop @p336 :rule scope :premises (@p227)) % 1.63/1.98 (step @p228 :rule process_scope :premises (@p336) :args (@t174)) % 1.63/1.98 (step @p230 :rule eq_resolve :premises (@p228 @p225)) % 1.63/1.98 (step @p231 :rule implies_elim :premises (@p230)) % 1.63/1.98 (step @p232 :rule eq_resolve :premises (@p231 @p222)) % 1.63/1.98 (step @p233 :rule cnf_and_neg :args (@t105)) % 1.63/1.98 (assume-push @p337 @t100) % 1.63/1.98 (step @p235 :rule instantiate :premises (@p337) :args ((@list @t164 @t166))) % 1.63/1.98 (step-pop @p338 :rule scope :premises (@p235)) % 1.63/1.98 (step @p236 :rule process_scope :premises (@p338) :args (@t175)) % 1.63/1.98 (step @p238 :rule implies_elim :premises (@p236)) % 1.63/1.98 (assume-push @p339 @t100) % 1.63/1.98 (step @p240 :rule instantiate :premises (@p339) :args ((@list @t156 @t157))) % 1.63/1.98 (step-pop @p340 :rule scope :premises (@p240)) % 1.63/1.98 (step @p241 :rule process_scope :premises (@p340) :args (@t178)) % 1.63/1.98 (step @p243 :rule implies_elim :premises (@p241)) % 1.63/1.98 (step @p244 :rule cnf_equiv_neg2 :args (@t134)) % 1.63/1.98 (step @p245 :rule cnf_or_pos :args (@t175)) % 1.63/1.98 (step @p246 :rule reordering :premises (@p245) :args ((or @t171 @t168 (not @t175)))) % 1.63/1.98 (step @p247 :rule cnf_or_pos :args (@t172)) % 1.63/1.98 (step @p248 :rule reordering :premises (@p247) :args ((or @t167 @t171 @t169 (not @t172)))) % 1.63/1.98 (step @p249 :rule refl :args (@t179)) % 1.63/1.98 (step @p250 :rule bool-double-not-elim :args (@t132)) % 1.63/1.98 (step @p251 :rule nary_cong :premises (@p250 @p249) :args ((or (not @t180) @t179))) % 1.63/1.98 (assume-push @p341 @t180) % 1.63/1.98 (step @p253 :rule skolemize :premises (@p341)) % 1.63/1.98 (step-pop @p342 :rule scope :premises (@p253)) % 1.63/1.98 (step @p254 :rule process_scope :premises (@p342) :args (@t179)) % 1.63/1.98 (step @p256 :rule implies_elim :premises (@p254)) % 1.63/1.98 (step @p257 :rule eq_resolve :premises (@p256 @p251)) % 1.63/1.98 (step @p258 :rule cnf_and_neg :args (@t133)) % 1.63/1.98 (step @p259 :rule refl :args (@t182)) % 1.63/1.98 (step @p260 :rule bool-double-not-elim :args (@t131)) % 1.63/1.98 (step @p261 :rule nary_cong :premises (@p260 @p259) :args ((or (not @t183) @t182))) % 1.63/1.98 (assume-push @p343 @t183) % 1.63/1.98 (step @p263 :rule skolemize :premises (@p343)) % 1.63/1.98 (step-pop @p344 :rule scope :premises (@p263)) % 1.63/1.98 (step @p264 :rule process_scope :premises (@p344) :args (@t182)) % 1.63/1.98 (step @p266 :rule implies_elim :premises (@p264)) % 1.63/1.98 (step @p267 :rule eq_resolve :premises (@p266 @p261)) % 1.63/1.98 (step @p268 :rule bool-double-not-elim :args (@t176)) % 1.63/1.98 (step @p269 :rule refl :args (@t181)) % 1.63/1.98 (step @p270 :rule nary_cong :premises (@p269 @p268) :args ((or @t181 (not @t177)))) % 1.63/1.98 (step @p271 :rule cnf_or_neg :args (@t181 0)) % 1.63/1.98 (step @p272 :rule eq_resolve :premises (@p271 @p270)) % 1.63/1.98 (step @p273 :rule reordering :premises (@p272) :args ((or @t176 @t181))) % 1.63/1.98 (step @p274 :rule bool-double-not-elim :args (@t159)) % 1.63/1.98 (step @p275 :rule nary_cong :premises (@p269 @p274) :args ((or @t181 (not @t160)))) % 1.63/1.98 (step @p276 :rule cnf_or_neg :args (@t181 1)) % 1.63/1.98 (step @p277 :rule eq_resolve :premises (@p276 @p275)) % 1.63/1.98 (step @p278 :rule reordering :premises (@p277) :args ((or @t159 @t181))) % 1.63/1.98 (step @p279 :rule cnf_or_neg :args (@t181 2)) % 1.63/1.98 (step @p280 :rule cnf_or_pos :args (@t178)) % 1.63/1.98 (step @p281 :rule reordering :premises (@p280) :args ((or @t177 @t161 (not @t178)))) % 1.63/1.98 (step @p282 :rule cnf_or_pos :args (@t163)) % 1.63/1.98 (step @p283 :rule reordering :premises (@p282) :args ((or @t160 @t158 @t162 (not @t163)))) % 1.63/1.98 (step @p284 :rule chain_m_resolution :premises (@p283 @p281 @p279 @p278 @p273 @p267 @p258 @p257 @p248 @p246 @p244 @p139 @p243 @p238 @p233 @p232 @p219 @p214 @p209) :args ((or @t184 @t149 @t114) (@list false true false false true true false false false true true false false false false true false false) (@list @t161 @t158 @t159 @t176 @t181 @t131 @t132 @t167 @t168 @t133 @t134 @t178 @t175 @t105 @t170 @t165 @t172 @t163))) % 1.63/1.98 (step @p285 :rule chain_m_resolution :premises (@p284 @p204 @p165) :args (@t184 @t185 (@list @t103 @t100))) % 1.63/1.98 (step @p286 :rule refl :args (@t187)) % 1.63/1.98 (step @p287 :rule bool-double-not-elim :args (@t104)) % 1.63/1.98 (step @p288 :rule nary_cong :premises (@p287 @p286) :args ((or (not @t184) @t187))) % 1.63/1.98 (step @p289 :rule bool-double-not-elim :args (@t187)) % 1.63/1.98 (step @p290 :rule refl :args (@t184)) % 1.63/1.98 (step @p291 :rule cong :premises (@p290 @p289) :args ((=> @t184 @t188))) % 1.63/1.98 (assume-push @p345 @t184) % 1.63/1.98 (step @p293 :rule skolemize :premises (@p345)) % 1.63/1.98 (step-pop @p346 :rule scope :premises (@p293)) % 1.63/1.98 (step @p294 :rule process_scope :premises (@p346) :args (@t188)) % 1.63/1.98 (step @p296 :rule eq_resolve :premises (@p294 @p291)) % 1.63/1.98 (step @p297 :rule implies_elim :premises (@p296)) % 1.63/1.98 (step @p298 :rule eq_resolve :premises (@p297 @p288)) % 1.63/1.98 (step @p299 :rule chain_m_resolution :premises (@p298 @p285) :args (@t187 @t189 @t190)) % 1.63/1.98 (step @p300 :rule cnf_and_pos :args (@t105 0)) % 1.63/1.98 (step @p301 :rule reordering :premises (@p300) :args ((or @t104 @t106))) % 1.63/1.98 (step @p302 :rule chain_m_resolution :premises (@p301 @p285) :args (@t106 @t189 @t190)) % 1.63/1.98 (step @p303 :rule chain_m_resolution :premises (@p141 @p302 @p139) :args (@t133 (@list true true) (@list @t105 @t134))) % 1.63/1.98 (step @p304 :rule chain_m_resolution :premises (@p150 @p303) :args (@t132 @t152 (@list @t133))) % 1.63/1.98 (assume-push @p347 @t132) % 1.63/1.98 (step @p306 :rule instantiate :premises (@p347) :args (@t191)) % 1.63/1.98 (step-pop @p348 :rule scope :premises (@p306)) % 1.63/1.98 (step @p307 :rule process_scope :premises (@p348) :args (@t192)) % 1.63/1.98 (step @p309 :rule implies_elim :premises (@p307)) % 1.63/1.98 (step @p310 :rule chain_m_resolution :premises (@p309 @p304) :args (@t192 @t152 (@list @t132))) % 1.63/1.98 (assume-push @p349 @t187) % 1.63/1.98 (step @p312 :rule instantiate :premises (@p349) :args (@t191)) % 1.63/1.98 (step-pop @p350 :rule scope :premises (@p312)) % 1.63/1.98 (step @p313 :rule process_scope :premises (@p350) :args ((not @t192))) % 1.63/1.98 (step @p315 :rule implies_elim :premises (@p313)) % 1.63/1.98 (step @p316 false :rule chain_m_resolution :premises (@p315 @p310 @p299) :args (false @t185 (@list @t192 @t187))) % 1.63/1.98 ) % 1.63/1.98 % SZS output end Proof % 1.63/1.98 % cvc5 exiting %------------------------------------------------------------------------------