%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL718^1 : 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 : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:41 AM UTC 2026 % Result : Theorem 3.00s 3.36s % Output : Proof 3.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL718^1 : TPTP v9.3.1. Bugfixed v5.0.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.38 % Computer : n009.cluster.edu % 0.11/0.38 % Model : x86_64 x86_64 % 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.38 % Memory : 8046.5625MB % 0.11/0.38 % OS : Linux 6.8.0-71-generic % 0.11/0.38 % CPULimit : 300 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Fri Sep 4 23:04:36 UTC 2026 % 0.11/0.38 % CPUTime : % 0.11/0.46 %----Proving TH0 % 3.00/3.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 3.00/3.36 % SZS status Theorem % 3.00/3.36 % SZS output start Proof % 3.00/3.36 ( % 3.00/3.36 (declare-sort $$unsorted 0) % 3.00/3.36 (declare-sort tptp.mu 0) % 3.00/3.36 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 3.00/3.36 (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" $$unsorted)) (= _let_2 _let_1))))) % 3.00/3.36 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 3.00/3.36 (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)))))) % 3.00/3.36 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 3.00/3.36 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 3.00/3.36 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 3.00/3.36 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 3.00/3.36 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 3.00/3.36 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 3.00/3.36 (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))))))) % 3.00/3.36 (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))))))) % 3.00/3.36 (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)))))) % 3.00/3.36 (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)))))) % 3.00/3.36 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 3.00/3.36 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 3.00/3.36 (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)))))) % 3.00/3.36 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 3.00/3.36 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 3.00/3.36 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 3.00/3.36 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 3.00/3.36 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 3.00/3.36 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 3.00/3.36 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 3.00/3.36 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 3.00/3.36 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 3.00/3.36 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 3.00/3.36 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 3.00/3.36 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 3.00/3.36 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 3.00/3.36 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 3.00/3.36 (define @t1 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 3.00/3.36 (define @t2 () (@var "__flatten_var_0" $$unsorted)) % 3.00/3.36 (define @t3 () (@var "A" (-> $$unsorted Bool))) % 3.00/3.36 (define @t4 () (_ tptp.mdia @t1)) % 3.00/3.36 (define @t5 () (_ tptp.mbox @t1)) % 3.00/3.36 (define @t6 () (@list @t3 @t2)) % 3.00/3.36 (define @t7 () (lambda @t6 (_ (_ (_ tptp.mimplies (_ @t4 (_ @t5 @t3))) (_ @t5 (_ @t4 @t3))) @t2))) % 3.00/3.36 (define @t8 () (=> (_ tptp.mvalid (_ tptp.mforall_prop @t7)) (_ tptp.mweakly_directed @t1))) % 3.00/3.36 (define @t9 () (@list @t1)) % 3.00/3.36 (define @t10 () (forall @t9 @t8)) % 3.00/3.36 (define @t11 () (not @t10)) % 3.00/3.36 (define @t12 () (@var "Y" tptp.mu)) % 3.00/3.36 (define @t13 () (@var "X" tptp.mu)) % 3.00/3.36 (define @t14 () (@var "W" $$unsorted)) % 3.00/3.36 (define @t15 () (lambda (@list @t13 @t12 @t14) (= @t13 @t12))) % 3.00/3.36 (define @t16 () (@var "Y" (-> $$unsorted Bool))) % 3.00/3.36 (define @t17 () (@var "X" (-> $$unsorted Bool))) % 3.00/3.36 (define @t18 () (lambda (@list @t17 @t16 @t14) (= (_ @t17 @t14) (_ @t16 @t14)))) % 3.00/3.36 (define @t19 () (@var "Phi" (-> $$unsorted Bool))) % 3.00/3.36 (define @t20 () (_ @t19 @t14)) % 3.00/3.36 (define @t21 () (not @t20)) % 3.00/3.36 (define @t22 () (@list @t19 @t14)) % 3.00/3.36 (define @t23 () (lambda @t22 @t21)) % 3.00/3.36 (define @t24 () (@var "Psi" (-> $$unsorted Bool))) % 3.00/3.36 (define @t25 () (_ @t24 @t14)) % 3.00/3.36 (define @t26 () (lambda (@list @t19 @t24 @t14) (or @t20 @t25))) % 3.00/3.36 (define @t27 () (_ tptp.mnot @t24)) % 3.00/3.36 (define @t28 () (_ tptp.mnot @t19)) % 3.00/3.36 (define @t29 () (_ tptp.mor @t28)) % 3.00/3.36 (define @t30 () (@list @t19 @t24 @t2)) % 3.00/3.36 (define @t31 () (lambda @t30 (_ (_ tptp.mnot (_ @t29 @t27)) @t2))) % 3.00/3.36 (define @t32 () (lambda @t30 (_ (_ @t29 @t24) @t2))) % 3.00/3.36 (define @t33 () (lambda @t30 (_ (_ (_ tptp.mor @t27) @t19) @t2))) % 3.00/3.36 (define @t34 () (lambda @t30 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t19) @t24)) (_ (_ tptp.mimplies @t24) @t19)) @t2))) % 3.00/3.36 (define @t35 () (lambda @t30 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t19) @t24)) @t2))) % 3.00/3.36 (define @t36 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 3.00/3.36 (define @t37 () (_ @t36 @t13)) % 3.00/3.36 (define @t38 () (lambda (@list @t36 @t14) (forall (@list @t13) (_ @t37 @t14)))) % 3.00/3.36 (define @t39 () (@var "P" (-> $$unsorted Bool))) % 3.00/3.36 (define @t40 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 3.00/3.36 (define @t41 () (_ @t40 @t39)) % 3.00/3.36 (define @t42 () (_ @t41 @t14)) % 3.00/3.36 (define @t43 () (@list @t39)) % 3.00/3.36 (define @t44 () (forall @t43 @t42)) % 3.00/3.36 (define @t45 () (@list @t40 @t14)) % 3.00/3.36 (define @t46 () (lambda @t45 @t44)) % 3.00/3.36 (define @t47 () (lambda (@list @t36 @t2) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t13 @t2) (_ (_ tptp.mnot @t37) @t2)))) @t2))) % 3.00/3.36 (define @t48 () (lambda (@list @t40 @t2) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t39 @t2) (_ (_ tptp.mnot @t41) @t2)))) @t2))) % 3.00/3.36 (define @t49 () (@list @t14)) % 3.00/3.36 (define @t50 () (lambda @t49 true)) % 3.00/3.36 (define @t51 () (@var "V" $$unsorted)) % 3.00/3.36 (define @t52 () (_ @t19 @t51)) % 3.00/3.36 (define @t53 () (_ (_ @t1 @t14) @t51)) % 3.00/3.36 (define @t54 () (not @t53)) % 3.00/3.36 (define @t55 () (or @t54 @t52)) % 3.00/3.36 (define @t56 () (@list @t51)) % 3.00/3.36 (define @t57 () (forall @t56 @t55)) % 3.00/3.36 (define @t58 () (@list @t1 @t19 @t14)) % 3.00/3.36 (define @t59 () (lambda @t58 @t57)) % 3.00/3.36 (define @t60 () (@list @t1 @t19 @t2)) % 3.00/3.36 (define @t61 () (lambda @t60 (_ (_ tptp.mnot (_ @t5 @t28)) @t2))) % 3.00/3.36 (define @t62 () (@var "S" $$unsorted)) % 3.00/3.36 (define @t63 () (_ @t1 @t62)) % 3.00/3.36 (define @t64 () (@list @t62)) % 3.00/3.36 (define @t65 () (lambda @t9 (forall @t64 (_ @t63 @t62)))) % 3.00/3.36 (define @t66 () (@var "T" $$unsorted)) % 3.00/3.36 (define @t67 () (_ @t1 @t66)) % 3.00/3.36 (define @t68 () (_ @t63 @t66)) % 3.00/3.36 (define @t69 () (lambda @t9 (forall (@list @t62 @t66) (=> @t68 (_ @t67 @t62))))) % 3.00/3.36 (define @t70 () (@list @t66)) % 3.00/3.36 (define @t71 () (lambda @t9 (forall @t64 (exists @t70 @t68)))) % 3.00/3.36 (define @t72 () (@var "U" $$unsorted)) % 3.00/3.36 (define @t73 () (_ @t63 @t72)) % 3.00/3.36 (define @t74 () (_ @t67 @t72)) % 3.00/3.36 (define @t75 () (@list @t62 @t66 @t72)) % 3.00/3.36 (define @t76 () (lambda @t9 (forall @t75 (=> (and @t68 @t74) @t73)))) % 3.00/3.36 (define @t77 () (and @t68 @t73)) % 3.00/3.36 (define @t78 () (lambda @t9 (forall @t75 (=> @t77 @t74)))) % 3.00/3.36 (define @t79 () (= @t66 @t72)) % 3.00/3.36 (define @t80 () (lambda @t9 (forall @t75 (=> @t77 @t79)))) % 3.00/3.36 (define @t81 () (@list @t72)) % 3.00/3.36 (define @t82 () (lambda @t9 (forall @t64 (exists @t70 (and @t68 (forall @t81 (=> @t73 @t79))))))) % 3.00/3.36 (define @t83 () (_ @t1 @t72)) % 3.00/3.36 (define @t84 () (_ @t83 @t66)) % 3.00/3.36 (define @t85 () (lambda @t9 (forall @t75 (=> @t68 (exists @t81 (and @t73 @t84)))))) % 3.00/3.36 (define @t86 () (lambda @t9 (forall @t75 (=> @t77 (or @t74 @t79 @t84))))) % 3.00/3.36 (define @t87 () (_ @t83 @t51)) % 3.00/3.36 (define @t88 () (_ @t67 @t51)) % 3.00/3.36 (define @t89 () (and @t88 @t87)) % 3.00/3.36 (define @t90 () (exists @t56 @t89)) % 3.00/3.36 (define @t91 () (=> @t77 @t90)) % 3.00/3.36 (define @t92 () (forall @t75 @t91)) % 3.00/3.36 (define @t93 () (lambda @t9 @t92)) % 3.00/3.36 (define @t94 () (forall @t49 @t20)) % 3.00/3.36 (define @t95 () (@list @t19)) % 3.00/3.36 (define @t96 () (lambda @t95 @t94)) % 3.00/3.36 (define @t97 () (lambda @t95 (forall @t49 @t21))) % 3.00/3.36 (define @t98 () (lambda @t95 (exists @t49 @t20))) % 3.00/3.36 (define @t99 () (lambda @t95 (exists @t49 @t21))) % 3.00/3.36 (define @t100 () (@var "BOUND_VARIABLE_8491" $$unsorted)) % 3.00/3.36 (define @t101 () (@var "BOUND_VARIABLE_8489" $$unsorted)) % 3.00/3.36 (define @t102 () (not (forall @t56 (or (not (_ @t1 @t101 @t51)) (not (_ @t1 @t100 @t51)))))) % 3.00/3.36 (define @t103 () (@var "BOUND_VARIABLE_8487" $$unsorted)) % 3.00/3.36 (define @t104 () (not (_ @t1 @t103 @t100))) % 3.00/3.36 (define @t105 () (not (_ @t1 @t103 @t101))) % 3.00/3.36 (define @t106 () (@var "BOUND_VARIABLE_8400" $$unsorted)) % 3.00/3.36 (define @t107 () (not (_ @t39 @t106))) % 3.00/3.36 (define @t108 () (@var "BOUND_VARIABLE_8460" $$unsorted)) % 3.00/3.36 (define @t109 () (@list @t106)) % 3.00/3.36 (define @t110 () (not (forall @t109 (or (not (_ @t1 @t108 @t106)) @t107)))) % 3.00/3.36 (define @t111 () (not (_ @t1 @t14 @t108))) % 3.00/3.36 (define @t112 () (@var "BOUND_VARIABLE_8362" $$unsorted)) % 3.00/3.36 (define @t113 () (_ @t39 @t112)) % 3.00/3.36 (define @t114 () (@var "BOUND_VARIABLE_8450" $$unsorted)) % 3.00/3.36 (define @t115 () (@list @t112)) % 3.00/3.36 (define @t116 () (not (forall @t115 (or (not (_ @t1 @t114 @t112)) @t113)))) % 3.00/3.36 (define @t117 () (not (_ @t1 @t14 @t114))) % 3.00/3.36 (define @t118 () (or @t117 @t116 @t111 @t110)) % 3.00/3.36 (define @t119 () (@list @t14 @t39 @t114 @t108)) % 3.00/3.36 (define @t120 () (forall @t119 @t118)) % 3.00/3.36 (define @t121 () (not @t120)) % 3.00/3.36 (define @t122 () (or @t121 @t105 @t104 @t102)) % 3.00/3.36 (define @t123 () (or @t105 @t104 @t102)) % 3.00/3.36 (define @t124 () (or @t121 @t123)) % 3.00/3.36 (define @t125 () (@list @t1 @t103 @t101 @t100)) % 3.00/3.36 (define @t126 () (forall @t125 @t124)) % 3.00/3.36 (define @t127 () (@list @t103 @t101 @t100)) % 3.00/3.36 (define @t128 () (forall @t127 @t124)) % 3.00/3.36 (define @t129 () (forall @t127 @t123)) % 3.00/3.36 (define @t130 () (or @t121 @t129)) % 3.00/3.36 (define @t131 () (_ @t1 @t72 @t51)) % 3.00/3.36 (define @t132 () (_ @t1 @t66 @t51)) % 3.00/3.36 (define @t133 () (not (forall @t56 (or (not @t132) (not @t131))))) % 3.00/3.36 (define @t134 () (_ @t1 @t62 @t72)) % 3.00/3.36 (define @t135 () (_ @t1 @t62 @t66)) % 3.00/3.36 (define @t136 () (forall @t75 (or (not @t135) (not @t134) @t133))) % 3.00/3.36 (define @t137 () (_ (lambda @t9 @t136) @t1)) % 3.00/3.36 (define @t138 () (@list @t39 @t114 @t108)) % 3.00/3.36 (define @t139 () (forall @t138 @t118)) % 3.00/3.36 (define @t140 () (lambda @t49 @t139)) % 3.00/3.36 (define @t141 () (_ @t140 @t14)) % 3.00/3.36 (define @t142 () (forall @t49 @t141)) % 3.00/3.36 (define @t143 () (_ @t19 @t14)) % 3.00/3.36 (define @t144 () (lambda @t95 (forall @t49 @t143))) % 3.00/3.36 (define @t145 () (or @t111 @t110)) % 3.00/3.36 (define @t146 () (or @t117 @t116)) % 3.00/3.36 (define @t147 () (or @t146 @t145)) % 3.00/3.36 (define @t148 () (forall @t138 @t147)) % 3.00/3.36 (define @t149 () (forall (@list @t114 @t108) @t147)) % 3.00/3.36 (define @t150 () (forall (@list @t108) @t145)) % 3.00/3.36 (define @t151 () (@list @t51)) % 3.00/3.36 (define @t152 () (forall (@list @t114) @t146)) % 3.00/3.36 (define @t153 () (or @t152 @t150)) % 3.00/3.36 (define @t154 () (not (_ @t1 @t51 @t106))) % 3.00/3.36 (define @t155 () (_ @t1 @t14 @t51)) % 3.00/3.36 (define @t156 () (not @t155)) % 3.00/3.36 (define @t157 () (not (_ @t1 @t51 @t112))) % 3.00/3.36 (define @t158 () (or (forall @t56 (or @t156 (not (forall @t115 (or @t157 @t113))))) (forall @t56 (or @t156 (not (forall @t109 (or @t154 @t107))))))) % 3.00/3.36 (define @t159 () (not (_ @t3 @t106))) % 3.00/3.36 (define @t160 () (not (forall @t109 (or @t154 @t159)))) % 3.00/3.36 (define @t161 () (not (_ @t1 @t2 @t51))) % 3.00/3.36 (define @t162 () (forall @t56 (or @t161 @t160))) % 3.00/3.36 (define @t163 () (_ @t3 @t112)) % 3.00/3.36 (define @t164 () (forall @t115 (or @t157 @t163))) % 3.00/3.36 (define @t165 () (forall @t56 (or @t161 (not @t164)))) % 3.00/3.36 (define @t166 () (or @t165 @t162)) % 3.00/3.36 (define @t167 () (lambda @t6 @t166)) % 3.00/3.36 (define @t168 () (_ @t167 @t39 @t14)) % 3.00/3.36 (define @t169 () (forall @t43 @t168)) % 3.00/3.36 (define @t170 () (lambda @t49 @t169)) % 3.00/3.36 (define @t171 () (_ @t40 @t39 @t14)) % 3.00/3.36 (define @t172 () (lambda @t45 (forall @t43 @t171))) % 3.00/3.36 (define @t173 () (@list @t2)) % 3.00/3.36 (define @t174 () (lambda @t49 (forall @t56 (or @t156 @t160)))) % 3.00/3.36 (define @t175 () (_ @t174 @t2)) % 3.00/3.36 (define @t176 () (or @t165 @t175)) % 3.00/3.36 (define @t177 () (lambda @t173 @t176)) % 3.00/3.36 (define @t178 () (_ @t24 @t2)) % 3.00/3.36 (define @t179 () (@list @t24 @t2)) % 3.00/3.36 (define @t180 () (_ @t3 @t51)) % 3.00/3.36 (define @t181 () (forall @t56 (or @t161 (not @t180)))) % 3.00/3.36 (define @t182 () (@list @t106)) % 3.00/3.36 (define @t183 () (not @t181)) % 3.00/3.36 (define @t184 () (lambda @t173 @t183)) % 3.00/3.36 (define @t185 () (or @t156 (_ @t184 @t51))) % 3.00/3.36 (define @t186 () (forall @t56 @t185)) % 3.00/3.36 (define @t187 () (lambda @t49 @t186)) % 3.00/3.36 (define @t188 () (_ @t19 @t51)) % 3.00/3.36 (define @t189 () (forall @t56 (or @t156 @t188))) % 3.00/3.36 (define @t190 () (lambda @t22 @t189)) % 3.00/3.36 (define @t191 () (not @t188)) % 3.00/3.36 (define @t192 () (not (forall @t56 (or @t161 @t191)))) % 3.00/3.36 (define @t193 () (lambda (@list @t19 @t2) @t192)) % 3.00/3.36 (define @t194 () (_ (lambda @t60 @t192) @t1)) % 3.00/3.36 (define @t195 () (_ (lambda @t58 @t189) @t1)) % 3.00/3.36 (define @t196 () (not @t165)) % 3.00/3.36 (define @t197 () (lambda @t173 @t196)) % 3.00/3.36 (define @t198 () (_ @t197 @t2)) % 3.00/3.36 (define @t199 () (not @t198)) % 3.00/3.36 (define @t200 () (or @t199 @t178)) % 3.00/3.36 (define @t201 () (lambda @t179 @t200)) % 3.00/3.36 (define @t202 () (or (not (_ @t19 @t2)) @t178)) % 3.00/3.36 (define @t203 () (lambda @t30 @t202)) % 3.00/3.36 (define @t204 () (forall @t56 (or @t156 @t180))) % 3.00/3.36 (define @t205 () (lambda @t49 @t204)) % 3.00/3.36 (define @t206 () (not (_ @t205 @t51))) % 3.00/3.36 (define @t207 () (or @t161 @t206)) % 3.00/3.36 (define @t208 () (forall @t56 @t207)) % 3.00/3.36 (define @t209 () (not @t208)) % 3.00/3.36 (define @t210 () (lambda @t173 @t209)) % 3.00/3.36 (define @t211 () (lambda @t6 (_ (_ (_ @t203 (_ @t194 (_ @t195 @t3))) (_ @t195 (_ @t194 @t3))) @t2))) % 3.00/3.36 (define @t212 () (=> (_ @t144 (_ @t172 @t211)) @t137)) % 3.00/3.36 (define @t213 () (forall @t9 @t212)) % 3.00/3.36 (define @t214 () (not @t73)) % 3.00/3.36 (define @t215 () (not @t68)) % 3.00/3.36 (define @t216 () (or @t215 @t214 @t133)) % 3.00/3.36 (define @t217 () (not @t87)) % 3.00/3.36 (define @t218 () (not @t88)) % 3.00/3.36 (define @t219 () (or @t218 @t217)) % 3.00/3.36 (define @t220 () (forall @t56 (not @t89))) % 3.00/3.36 (define @t221 () (not @t220)) % 3.00/3.36 (define @t222 () (forall @t56 (or @t156 @t191))) % 3.00/3.36 (define @t223 () (lambda @t49 @t222)) % 3.00/3.36 (define @t224 () (_ @t223 @t14)) % 3.00/3.36 (define @t225 () (not @t224)) % 3.00/3.36 (define @t226 () (lambda @t49 @t225)) % 3.00/3.36 (define @t227 () (not @t52)) % 3.00/3.36 (define @t228 () (or @t156 @t227)) % 3.00/3.36 (define @t229 () (lambda @t49 @t21)) % 3.00/3.36 (define @t230 () (_ @t229 @t51)) % 3.00/3.36 (define @t231 () (or @t156 @t230)) % 3.00/3.36 (define @t232 () (forall @t56 @t231)) % 3.00/3.36 (define @t233 () (lambda @t49 @t232)) % 3.00/3.36 (define @t234 () (or @t21 @t25)) % 3.00/3.36 (define @t235 () (lambda @t49 @t234)) % 3.00/3.36 (define @t236 () (@list @t24 @t14)) % 3.00/3.36 (define @t237 () (_ @t229 @t14)) % 3.00/3.36 (define @t238 () (or @t237 @t25)) % 3.00/3.36 (define @t239 () (lambda @t236 @t238)) % 3.00/3.36 (define @t240 () (forall @t125 @t122)) % 3.00/3.36 (define @t241 () (@quantifiers_skolemize @t240 0)) % 3.00/3.36 (define @t242 () (forall @t119 (or (not (_ @t241 @t14 @t114)) (not (forall @t115 (or (not (_ @t241 @t114 @t112)) @t113))) (not (_ @t241 @t14 @t108)) (not (forall @t109 (or (not (_ @t241 @t108 @t106)) @t107)))))) % 3.00/3.36 (define @t243 () (@quantifiers_skolemize @t240 3)) % 3.00/3.36 (define @t244 () (@quantifiers_skolemize @t240 2)) % 3.00/3.36 (define @t245 () (forall @t56 (or (not (_ @t241 @t244 @t51)) (not (_ @t241 @t243 @t51))))) % 3.00/3.36 (define @t246 () (not @t245)) % 3.00/3.36 (define @t247 () (@quantifiers_skolemize @t240 1)) % 3.00/3.36 (define @t248 () (_ @t241 @t247 @t243)) % 3.00/3.36 (define @t249 () (not @t248)) % 3.00/3.36 (define @t250 () (_ @t241 @t247 @t244)) % 3.00/3.36 (define @t251 () (not @t250)) % 3.00/3.36 (define @t252 () (not @t242)) % 3.00/3.36 (define @t253 () (or @t252 @t251 @t249 @t246)) % 3.00/3.36 (define @t254 () (@list true)) % 3.00/3.36 (define @t255 () (@list @t253)) % 3.00/3.36 (define @t256 () (_ @t241 @t243 @t106)) % 3.00/3.36 (define @t257 () (not (_ @t241 @t244 @t106))) % 3.00/3.36 (define @t258 () (forall @t109 (or @t257 (not @t256)))) % 3.00/3.36 (define @t259 () (not @t258)) % 3.00/3.36 (define @t260 () (or @t249 @t251 @t259)) % 3.00/3.36 (define @t261 () (not @t260)) % 3.00/3.36 (define @t262 () (@var "BOUND_VARIABLE_16044" $$unsorted)) % 3.00/3.36 (define @t263 () (lambda (@list @t262) (_ @t241 @t243 @t262))) % 3.00/3.36 (define @t264 () (_ @t263 @t106)) % 3.00/3.36 (define @t265 () (not @t264)) % 3.00/3.36 (define @t266 () (or @t257 @t265)) % 3.00/3.36 (define @t267 () (forall @t109 @t266)) % 3.00/3.36 (define @t268 () (not @t267)) % 3.00/3.36 (define @t269 () (_ @t241 @t243 @t112)) % 3.00/3.36 (define @t270 () (not @t269)) % 3.00/3.36 (define @t271 () (_ @t263 @t112)) % 3.00/3.36 (define @t272 () (or @t270 @t271)) % 3.00/3.36 (define @t273 () (forall @t115 @t272)) % 3.00/3.36 (define @t274 () (not @t273)) % 3.00/3.36 (define @t275 () (or @t249 @t274 @t251 @t268)) % 3.00/3.36 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 3.00/3.36 (assume @p2 @t11) % 3.00/3.36 (assume @p3 true) % 3.00/3.36 (step @p4 (= tptp.meq_ind @t15) :rule refl :args (@t15)) % 3.00/3.36 (step @p5 (= tptp.meq_prop @t18) :rule refl :args (@t18)) % 3.00/3.36 (step @p6 (= tptp.mnot @t23) :rule refl :args (@t23)) % 3.00/3.36 (step @p7 (= tptp.mor @t26) :rule refl :args (@t26)) % 3.00/3.36 (step @p8 (= tptp.mand @t31) :rule refl :args (@t31)) % 3.00/3.36 (step @p9 (= tptp.mimplies @t32) :rule refl :args (@t32)) % 3.00/3.36 (step @p10 (= tptp.mimplied @t33) :rule refl :args (@t33)) % 3.00/3.36 (step @p11 (= tptp.mequiv @t34) :rule refl :args (@t34)) % 3.00/3.36 (step @p12 (= tptp.mxor @t35) :rule refl :args (@t35)) % 3.00/3.36 (step @p13 (= tptp.mforall_ind @t38) :rule refl :args (@t38)) % 3.00/3.36 (step @p14 (= tptp.mforall_prop @t46) :rule refl :args (@t46)) % 3.00/3.36 (step @p15 (= tptp.mexists_ind @t47) :rule refl :args (@t47)) % 3.00/3.36 (step @p16 (= tptp.mexists_prop @t48) :rule refl :args (@t48)) % 3.00/3.36 (step @p17 (= tptp.mtrue @t50) :rule refl :args (@t50)) % 3.00/3.36 (step @p18 (= tptp.mbox @t59) :rule refl :args (@t59)) % 3.00/3.36 (step @p19 (= tptp.mdia @t61) :rule refl :args (@t61)) % 3.00/3.36 (step @p20 (= tptp.mreflexive @t65) :rule refl :args (@t65)) % 3.00/3.36 (step @p21 (= tptp.msymmetric @t69) :rule refl :args (@t69)) % 3.00/3.36 (step @p22 (= tptp.mserial @t71) :rule refl :args (@t71)) % 3.00/3.36 (step @p23 (= tptp.mtransitive @t76) :rule refl :args (@t76)) % 3.00/3.36 (step @p24 (= tptp.meuclidean @t78) :rule refl :args (@t78)) % 3.00/3.36 (step @p25 (= tptp.mpartially_functional @t80) :rule refl :args (@t80)) % 3.00/3.36 (step @p26 (= tptp.mfunctional @t82) :rule refl :args (@t82)) % 3.00/3.36 (step @p27 (= tptp.mweakly_dense @t85) :rule refl :args (@t85)) % 3.00/3.36 (step @p28 (= tptp.mweakly_connected @t86) :rule refl :args (@t86)) % 3.00/3.36 (step @p29 (= tptp.mweakly_directed @t93) :rule refl :args (@t93)) % 3.00/3.36 (step @p30 (= tptp.mvalid @t96) :rule refl :args (@t96)) % 3.00/3.36 (step @p31 (= tptp.minvalid @t97) :rule refl :args (@t97)) % 3.00/3.36 (step @p32 (= tptp.msatisfiable @t98) :rule refl :args (@t98)) % 3.00/3.36 (step @p33 (= tptp.mcountersatisfiable @t99) :rule refl :args (@t99)) % 3.00/3.36 (step @p34 :rule aci_norm :args ((= @t124 @t122))) % 3.00/3.36 (step @p35 :rule cong :premises (@p34) :args (@t126)) % 3.00/3.36 (step @p36 :rule quant-merge-prenex :args ((= (forall @t9 @t128) @t126))) % 3.00/3.36 (step @p37 :rule alpha_equiv :args (@t129 (@list @t103 @t101 @t100) (@list @t62 @t66 @t72))) % 3.00/3.36 (step @p38 :rule refl :args (@t121)) % 3.00/3.36 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t130)) % 3.00/3.36 (step @p40 :rule quant-miniscope-or :args ((= @t128 @t130))) % 3.00/3.36 (step @p41 :rule trans :premises (@p40 @p39)) % 3.00/3.36 (step @p42 :rule symm :premises (@p41)) % 3.00/3.36 (step @p43 :rule cong :premises (@p42) :args ((forall @t9 (or @t121 @t136)))) % 3.00/3.36 (step @p44 :rule trans :premises (@p43 @p36)) % 3.00/3.36 (step @p45 :rule trans :premises (@p44 @p35)) % 3.00/3.36 (step @p46 :rule bool-impl-elim :args (@t120 @t136)) % 3.00/3.36 (step @p47 :rule cong :premises (@p46) :args ((forall @t9 (=> @t120 @t136)))) % 3.00/3.36 (step @p48 :rule trans :premises (@p47 @p45)) % 3.00/3.36 (step @p49 :rule beta-reduce :args ((= @t137 @t136))) % 3.00/3.36 (step @p50 :rule quant-merge-prenex :args ((= (forall @t49 @t139) @t120))) % 3.00/3.36 (step @p51 :rule beta-reduce :args ((= @t141 @t139))) % 3.00/3.36 (step @p52 :rule cong :premises (@p51) :args (@t142)) % 3.00/3.36 (step @p53 :rule trans :premises (@p52 @p50)) % 3.00/3.36 (step @p54 :rule beta-reduce :args ((= (_ @t144 @t140) @t142))) % 3.00/3.36 (step @p55 :rule trans :premises (@p54 @p53)) % 3.00/3.36 (step @p56 :rule aci_norm :args ((= @t147 @t118))) % 3.00/3.36 (step @p57 :rule cong :premises (@p56) :args (@t148)) % 3.00/3.36 (step @p58 :rule quant-merge-prenex :args ((= (forall @t43 @t149) @t148))) % 3.00/3.36 (step @p59 :rule alpha_equiv :args (@t150 (@list @t108) @t151)) % 3.00/3.36 (step @p60 :rule alpha_equiv :args (@t152 (@list @t114) @t151)) % 3.00/3.36 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t153)) % 3.00/3.36 (step @p62 :rule quant-miniscope-or :args ((= @t149 @t153))) % 3.00/3.36 (step @p63 :rule trans :premises (@p62 @p61)) % 3.00/3.36 (step @p64 :rule symm :premises (@p63)) % 3.00/3.36 (step @p65 :rule cong :premises (@p64) :args ((forall @t43 @t158))) % 3.00/3.36 (step @p66 :rule trans :premises (@p65 @p58)) % 3.00/3.36 (step @p67 :rule trans :premises (@p66 @p57)) % 3.00/3.36 (step @p68 :rule beta-reduce :args ((= @t168 @t158))) % 3.00/3.36 (step @p69 :rule cong :premises (@p68) :args (@t169)) % 3.00/3.36 (step @p70 :rule trans :premises (@p69 @p67)) % 3.00/3.36 (step @p71 :rule cong :premises (@p70) :args (@t170)) % 3.00/3.36 (step @p72 :rule beta-reduce :args ((= (_ @t172 @t167) @t170))) % 3.00/3.36 (step @p73 :rule trans :premises (@p72 @p71)) % 3.00/3.36 (step @p74 :rule beta-reduce :args ((= (_ (lambda @t173 @t166) @t2) @t166))) % 3.00/3.36 (step @p75 :rule refl :args (@t2)) % 3.00/3.36 (step @p76 :rule beta-reduce :args ((= @t175 @t162))) % 3.00/3.36 (step @p77 :rule refl :args (@t165)) % 3.00/3.36 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t176)) % 3.00/3.36 (step @p79 :rule cong :premises (@p78) :args (@t177)) % 3.00/3.36 (step @p80 :rule beta-reduce :args ((= (_ (lambda @t179 (or @t165 @t178)) @t174) @t177))) % 3.00/3.36 (step @p81 :rule trans :premises (@p80 @p79)) % 3.00/3.36 (step @p82 :rule beta-reduce :args ((= (_ (lambda @t173 (not (forall @t109 (or (not (_ @t1 @t2 @t106)) @t159)))) @t51) @t160))) % 3.00/3.36 (step @p83 :rule refl :args (@t51)) % 3.00/3.36 (step @p84 :rule alpha_equiv :args (@t181 @t151 @t182)) % 3.00/3.36 (step @p85 :rule cong :premises (@p84) :args (@t183)) % 3.00/3.36 (step @p86 :rule cong :premises (@p85) :args (@t184)) % 3.00/3.36 (step @p87 :rule ho_cong :premises (@p86 @p83)) % 3.00/3.36 (step @p88 :rule trans :premises (@p87 @p82)) % 3.00/3.36 (step @p89 :rule refl :args (@t156)) % 3.00/3.36 (step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t185)) % 3.00/3.36 (step @p91 :rule cong :premises (@p90) :args (@t186)) % 3.00/3.36 (step @p92 :rule cong :premises (@p91) :args (@t187)) % 3.00/3.36 (step @p93 :rule beta-reduce :args ((= (_ @t190 @t184) @t187))) % 3.00/3.36 (step @p94 :rule trans :premises (@p93 @p92)) % 3.00/3.36 (step @p95 :rule beta-reduce :args ((= (_ @t193 @t3) @t184))) % 3.00/3.36 (step @p96 :rule refl :args 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nary_cong :premises (@p304 @p310) :args ((or @t253 (not @t246)))) % 3.00/3.36 (step @p312 :rule cnf_or_neg :args (@t253 3)) % 3.00/3.36 (step @p313 :rule eq_resolve :premises (@p312 @p311)) % 3.00/3.36 (step @p314 :rule reordering :premises (@p313) :args ((or @t245 @t253))) % 3.00/3.36 (step @p315 :rule chain_m_resolution :premises (@p314 @p302) :args (@t245 @t254 @t255)) % 3.00/3.36 (step @p316 :rule alpha_equiv :args (@t245 @t151 @t182)) % 3.00/3.36 (step @p317 :rule equiv_elim1 :premises (@p316)) % 3.00/3.36 (step @p318 :rule chain_m_resolution :premises (@p317 @p315) :args (@t258 (@list false) (@list @t245))) % 3.00/3.36 (step @p319 :rule bool-double-not-elim :args (@t248)) % 3.00/3.36 (step @p320 :rule nary_cong :premises (@p304 @p319) :args ((or @t253 (not @t249)))) % 3.00/3.36 (step @p321 :rule cnf_or_neg :args (@t253 2)) % 3.00/3.36 (step @p322 :rule eq_resolve :premises (@p321 @p320)) % 3.00/3.36 (step @p323 :rule reordering :premises (@p322) :args ((or @t248 @t253))) % 3.00/3.36 (step @p324 :rule chain_m_resolution :premises (@p323 @p302) :args (@t248 @t254 @t255)) % 3.00/3.36 (step @p325 :rule bool-double-not-elim :args (@t250)) % 3.00/3.36 (step @p326 :rule nary_cong :premises (@p304 @p325) :args ((or @t253 (not @t251)))) % 3.00/3.36 (step @p327 :rule cnf_or_neg :args (@t253 1)) % 3.00/3.36 (step @p328 :rule eq_resolve :premises (@p327 @p326)) % 3.00/3.36 (step @p329 :rule reordering :premises (@p328) :args ((or @t250 @t253))) % 3.00/3.36 (step @p330 :rule chain_m_resolution :premises (@p329 @p302) :args (@t250 @t254 @t255)) % 3.00/3.36 (step @p331 :rule cnf_or_pos :args (@t260)) % 3.00/3.36 (step @p332 :rule reordering :premises (@p331) :args ((or @t251 @t249 @t259 @t261))) % 3.00/3.36 (step @p333 :rule chain_m_resolution :premises (@p332 @p330 @p324 @p318) :args (@t261 (@list false false false) (@list @t250 @t248 @t258))) % 3.00/3.36 (step @p334 :rule aci_norm :args ((= (or @t249 false @t251 @t259) @t260))) % 3.00/3.36 (step @p335 :rule beta-reduce :args ((= @t264 @t256))) % 3.00/3.36 (step @p336 :rule cong :premises (@p335) :args (@t265)) % 3.00/3.36 (step @p337 :rule refl :args (@t257)) % 3.00/3.36 (step @p338 :rule nary_cong :premises (@p337 @p336) :args (@t266)) % 3.00/3.36 (step @p339 :rule cong :premises (@p338) :args (@t267)) % 3.00/3.36 (step @p340 :rule cong :premises (@p339) :args (@t268)) % 3.00/3.36 (step @p341 :rule refl :args (@t251)) % 3.00/3.36 (step @p342 :rule evaluate :args ((not true))) % 3.00/3.36 (step @p343 :rule quant-unused-vars :args ((= (forall @t115 true) true))) % 3.00/3.36 (step @p344 :rule bool-or-taut2 :args (false @t269 false false)) % 3.00/3.36 (step @p345 :rule cong :premises (@p344) :args ((forall @t115 (or @t270 @t269)))) % 3.00/3.36 (step @p346 :rule trans :premises (@p345 @p343)) % 3.00/3.36 (step @p347 :rule beta-reduce :args ((= @t271 @t269))) % 3.00/3.36 (step @p348 :rule refl :args (@t270)) % 3.00/3.36 (step @p349 :rule nary_cong :premises (@p348 @p347) :args (@t272)) % 3.00/3.36 (step @p350 :rule cong :premises (@p349) :args (@t273)) % 3.00/3.36 (step @p351 :rule trans :premises (@p350 @p346)) % 3.00/3.36 (step @p352 :rule cong :premises (@p351) :args (@t274)) % 3.00/3.36 (step @p353 :rule trans :premises (@p352 @p342)) % 3.00/3.36 (step @p354 :rule refl :args (@t249)) % 3.00/3.36 (step @p355 :rule nary_cong :premises (@p354 @p353 @p341 @p340) :args (@t275)) % 3.00/3.36 (step @p356 :rule trans :premises (@p355 @p334)) % 3.00/3.36 (step @p357 :rule refl :args (@t242)) % 3.00/3.36 (step @p358 :rule cong :premises (@p357 @p356) :args ((=> @t242 @t275))) % 3.00/3.36 (assume-push @p366 @t242) % 3.00/3.36 (step @p360 :rule instantiate :premises (@p309) :args ((@list @t247 @t263 @t243 @t244))) % 3.00/3.36 (step-pop @p367 :rule scope :premises (@p360)) % 3.00/3.36 (step @p361 :rule process_scope :premises (@p367) :args (@t275)) % 3.00/3.36 (step @p363 :rule eq_resolve :premises (@p361 @p358)) % 3.00/3.36 (step @p364 :rule implies_elim :premises (@p363)) % 3.00/3.36 (step @p365 false :rule chain_m_resolution :premises (@p364 @p333 @p309) :args (false (@list true false) (@list @t260 @t242))) % 3.00/3.36 ) % 3.00/3.36 % SZS output end Proof % 3.00/3.36 % cvc5 exiting %------------------------------------------------------------------------------