%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL879^1 : TPTP v9.3.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 11:24:05 AM UTC 2026 % Result : Theorem 0.18s 0.54s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL879^1 : TPTP v9.3.1. Released v5.2.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.35 % Computer : n020.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 5 21:04:28 UTC 2026 % 0.08/0.35 % CPUTime : % 0.13/0.42 %----Proving TH0 % 0.18/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.18/0.54 % SZS status Theorem % 0.18/0.54 % SZS output start Proof % 0.18/0.54 ( % 0.18/0.54 (declare-sort $$unsorted 0) % 0.18/0.54 (declare-sort tptp.mu 0) % 0.18/0.54 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.18/0.54 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.18/0.54 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.18/0.54 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.18/0.54 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.18/0.54 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.18/0.54 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.18/0.54 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.18/0.54 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.18/0.54 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.18/0.54 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.18/0.54 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.18/0.54 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.18/0.54 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.18/0.54 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.18/0.54 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.18/0.54 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.18/0.54 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.18/0.54 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.18/0.54 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.18/0.54 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.18/0.54 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.18/0.54 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.18/0.54 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.18/0.54 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.18/0.54 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.18/0.54 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.18/0.54 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.18/0.54 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.18/0.54 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.18/0.54 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.18/0.54 (define @t1 () (@var "W" $$unsorted)) % 0.18/0.54 (define @t2 () (@var "U" $$unsorted)) % 0.18/0.54 (define @t3 () (@var "I" (-> $$unsorted $$unsorted Bool))) % 0.18/0.54 (define @t4 () (_ (_ @t3 @t2) @t1)) % 0.18/0.54 (define @t5 () (@var "V" $$unsorted)) % 0.18/0.54 (define @t6 () (_ (_ @t3 @t5) @t1)) % 0.18/0.54 (define @t7 () (@var "J" (-> $$unsorted $$unsorted Bool))) % 0.18/0.54 (define @t8 () (_ (_ @t7 @t2) @t5)) % 0.18/0.54 (define @t9 () (and @t8 @t6)) % 0.18/0.54 (define @t10 () (@list @t2 @t5 @t1)) % 0.18/0.54 (define @t11 () (forall @t10 (=> @t9 @t4))) % 0.18/0.54 (define @t12 () (@var "__flatten_var_0" $$unsorted)) % 0.18/0.54 (define @t13 () (@var "Phi" (-> $$unsorted Bool))) % 0.18/0.54 (define @t14 () (_ (_ tptp.mbox @t3) @t13)) % 0.18/0.54 (define @t15 () (@list @t13 @t12)) % 0.18/0.54 (define @t16 () (lambda @t15 (_ (_ (_ tptp.mimplies @t14) (_ (_ tptp.mbox @t7) @t14)) @t12))) % 0.18/0.54 (define @t17 () (= (_ tptp.mvalid (_ tptp.mforall_prop @t16)) @t11)) % 0.18/0.54 (define @t18 () (@list @t3 @t7)) % 0.18/0.54 (define @t19 () (forall @t18 @t17)) % 0.18/0.54 (define @t20 () (not @t19)) % 0.18/0.54 (define @t21 () (@var "Y" tptp.mu)) % 0.18/0.54 (define @t22 () (@var "X" tptp.mu)) % 0.18/0.54 (define @t23 () (lambda (@list @t22 @t21 @t1) (= @t22 @t21))) % 0.18/0.54 (define @t24 () (@var "Y" (-> $$unsorted Bool))) % 0.18/0.54 (define @t25 () (@var "X" (-> $$unsorted Bool))) % 0.18/0.54 (define @t26 () (lambda (@list @t25 @t24 @t1) (= (_ @t25 @t1) (_ @t24 @t1)))) % 0.18/0.54 (define @t27 () (_ @t13 @t1)) % 0.18/0.54 (define @t28 () (not @t27)) % 0.18/0.54 (define @t29 () (@list @t13 @t1)) % 0.18/0.54 (define @t30 () (lambda @t29 @t28)) % 0.18/0.54 (define @t31 () (@var "Psi" (-> $$unsorted Bool))) % 0.18/0.54 (define @t32 () (_ @t31 @t1)) % 0.18/0.54 (define @t33 () (lambda (@list @t13 @t31 @t1) (or @t27 @t32))) % 0.18/0.54 (define @t34 () (_ tptp.mnot @t31)) % 0.18/0.54 (define @t35 () (_ tptp.mnot @t13)) % 0.18/0.54 (define @t36 () (_ tptp.mor @t35)) % 0.18/0.54 (define @t37 () (@list @t13 @t31 @t12)) % 0.18/0.54 (define @t38 () (lambda @t37 (_ (_ tptp.mnot (_ @t36 @t34)) @t12))) % 0.18/0.54 (define @t39 () (lambda @t37 (_ (_ @t36 @t31) @t12))) % 0.18/0.54 (define @t40 () (lambda @t37 (_ (_ (_ tptp.mor @t34) @t13) @t12))) % 0.18/0.54 (define @t41 () (lambda @t37 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t13) @t31)) (_ (_ tptp.mimplies @t31) @t13)) @t12))) % 0.18/0.54 (define @t42 () (lambda @t37 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t13) @t31)) @t12))) % 0.18/0.54 (define @t43 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.18/0.54 (define @t44 () (_ @t43 @t22)) % 0.18/0.54 (define @t45 () (lambda (@list @t43 @t1) (forall (@list @t22) (_ @t44 @t1)))) % 0.18/0.54 (define @t46 () (@var "P" (-> $$unsorted Bool))) % 0.18/0.54 (define @t47 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.18/0.54 (define @t48 () (_ @t47 @t46)) % 0.18/0.54 (define @t49 () (_ @t48 @t1)) % 0.18/0.54 (define @t50 () (@list @t46)) % 0.18/0.54 (define @t51 () (forall @t50 @t49)) % 0.18/0.54 (define @t52 () (@list @t47 @t1)) % 0.18/0.54 (define @t53 () (lambda @t52 @t51)) % 0.18/0.54 (define @t54 () (lambda (@list @t43 @t12) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t22 @t12) (_ (_ tptp.mnot @t44) @t12)))) @t12))) % 0.18/0.54 (define @t55 () (lambda (@list @t47 @t12) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t46 @t12) (_ (_ tptp.mnot @t48) @t12)))) @t12))) % 0.18/0.54 (define @t56 () (@list @t1)) % 0.18/0.54 (define @t57 () (lambda @t56 true)) % 0.18/0.54 (define @t58 () (_ @t13 @t5)) % 0.18/0.54 (define @t59 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.18/0.54 (define @t60 () (_ (_ @t59 @t1) @t5)) % 0.18/0.54 (define @t61 () (not @t60)) % 0.18/0.54 (define @t62 () (or @t61 @t58)) % 0.18/0.54 (define @t63 () (@list @t5)) % 0.18/0.54 (define @t64 () (forall @t63 @t62)) % 0.18/0.54 (define @t65 () (@list @t59 @t13 @t1)) % 0.18/0.54 (define @t66 () (lambda @t65 @t64)) % 0.18/0.54 (define @t67 () (lambda (@list @t59 @t13 @t12) (_ (_ tptp.mnot (_ (_ tptp.mbox @t59) @t35)) @t12))) % 0.18/0.54 (define @t68 () (@var "S" $$unsorted)) % 0.18/0.54 (define @t69 () (_ @t59 @t68)) % 0.18/0.54 (define @t70 () (@list @t68)) % 0.18/0.54 (define @t71 () (@list @t59)) % 0.18/0.54 (define @t72 () (lambda @t71 (forall @t70 (_ @t69 @t68)))) % 0.18/0.54 (define @t73 () (@var "T" $$unsorted)) % 0.18/0.54 (define @t74 () (_ @t59 @t73)) % 0.18/0.54 (define @t75 () (_ @t69 @t73)) % 0.18/0.54 (define @t76 () (lambda @t71 (forall (@list @t68 @t73) (=> @t75 (_ @t74 @t68))))) % 0.18/0.54 (define @t77 () (@list @t73)) % 0.18/0.54 (define @t78 () (lambda @t71 (forall @t70 (exists @t77 @t75)))) % 0.18/0.54 (define @t79 () (_ @t69 @t2)) % 0.18/0.54 (define @t80 () (_ @t74 @t2)) % 0.18/0.54 (define @t81 () (@list @t68 @t73 @t2)) % 0.18/0.54 (define @t82 () (lambda @t71 (forall @t81 (=> (and @t75 @t80) @t79)))) % 0.18/0.54 (define @t83 () (and @t75 @t79)) % 0.18/0.54 (define @t84 () (lambda @t71 (forall @t81 (=> @t83 @t80)))) % 0.18/0.54 (define @t85 () (= @t73 @t2)) % 0.18/0.54 (define @t86 () (lambda @t71 (forall @t81 (=> @t83 @t85)))) % 0.18/0.54 (define @t87 () (@list @t2)) % 0.18/0.54 (define @t88 () (lambda @t71 (forall @t70 (exists @t77 (and @t75 (forall @t87 (=> @t79 @t85))))))) % 0.18/0.54 (define @t89 () (_ @t59 @t2)) % 0.18/0.54 (define @t90 () (_ @t89 @t73)) % 0.18/0.54 (define @t91 () (lambda @t71 (forall @t81 (=> @t75 (exists @t87 (and @t79 @t90)))))) % 0.18/0.54 (define @t92 () (lambda @t71 (forall @t81 (=> @t83 (or @t80 @t85 @t90))))) % 0.18/0.54 (define @t93 () (lambda @t71 (forall @t81 (=> @t83 (exists @t63 (and (_ @t74 @t5) (_ @t89 @t5))))))) % 0.18/0.54 (define @t94 () (forall @t56 @t27)) % 0.18/0.54 (define @t95 () (@list @t13)) % 0.18/0.54 (define @t96 () (lambda @t95 @t94)) % 0.18/0.54 (define @t97 () (lambda @t95 (forall @t56 @t28))) % 0.18/0.54 (define @t98 () (lambda @t95 (exists @t56 @t27))) % 0.18/0.54 (define @t99 () (lambda @t95 (exists @t56 @t28))) % 0.18/0.54 (define @t100 () (@var "BOUND_VARIABLE_8455" $$unsorted)) % 0.18/0.54 (define @t101 () (_ @t46 @t100)) % 0.18/0.54 (define @t102 () (@var "BOUND_VARIABLE_8453" $$unsorted)) % 0.18/0.54 (define @t103 () (not (_ @t3 @t102 @t100))) % 0.18/0.54 (define @t104 () (not (_ @t7 @t1 @t102))) % 0.18/0.54 (define @t105 () (_ @t46 @t5)) % 0.18/0.54 (define @t106 () (not (_ @t3 @t1 @t5))) % 0.18/0.54 (define @t107 () (not (forall @t63 (or @t106 @t105)))) % 0.18/0.54 (define @t108 () (or @t107 @t104 @t103 @t101)) % 0.18/0.54 (define @t109 () (@list @t1 @t46 @t102 @t100)) % 0.18/0.54 (define @t110 () (forall @t109 @t108)) % 0.18/0.54 (define @t111 () (@list @t46 @t102 @t100)) % 0.18/0.54 (define @t112 () (forall @t111 @t108)) % 0.18/0.54 (define @t113 () (lambda @t56 @t112)) % 0.18/0.54 (define @t114 () (_ @t113 @t1)) % 0.18/0.54 (define @t115 () (forall @t56 @t114)) % 0.18/0.54 (define @t116 () (_ @t13 @t1)) % 0.18/0.54 (define @t117 () (lambda @t95 (forall @t56 @t116))) % 0.18/0.54 (define @t118 () (or @t104 @t103 @t101)) % 0.18/0.54 (define @t119 () (or @t107 @t118)) % 0.18/0.54 (define @t120 () (forall @t111 @t119)) % 0.18/0.54 (define @t121 () (@list @t102 @t100)) % 0.18/0.54 (define @t122 () (forall @t121 @t119)) % 0.18/0.54 (define @t123 () (forall @t121 @t118)) % 0.18/0.54 (define @t124 () (@var "BOUND_VARIABLE_8415" $$unsorted)) % 0.18/0.54 (define @t125 () (or @t107 @t123)) % 0.18/0.54 (define @t126 () (not (_ @t3 @t5 @t124))) % 0.18/0.54 (define @t127 () (not (_ @t7 @t1 @t5))) % 0.18/0.54 (define @t128 () (@list @t5 @t124)) % 0.18/0.54 (define @t129 () (or @t107 (forall @t128 (or @t127 @t126 (_ @t46 @t124))))) % 0.18/0.54 (define @t130 () (_ @t13 @t124)) % 0.18/0.54 (define @t131 () (forall @t128 (or (not (_ @t7 @t12 @t5)) @t126 @t130))) % 0.18/0.54 (define @t132 () (_ @t13 @t5)) % 0.18/0.54 (define @t133 () (forall @t63 (or (not (_ @t3 @t12 @t5)) @t132))) % 0.18/0.54 (define @t134 () (not @t133)) % 0.18/0.54 (define @t135 () (or @t134 @t131)) % 0.18/0.54 (define @t136 () (lambda @t15 @t135)) % 0.18/0.54 (define @t137 () (_ @t136 @t46 @t1)) % 0.18/0.54 (define @t138 () (forall @t50 @t137)) % 0.18/0.54 (define @t139 () (lambda @t56 @t138)) % 0.18/0.54 (define @t140 () (_ @t47 @t46 @t1)) % 0.18/0.54 (define @t141 () (lambda @t52 (forall @t50 @t140))) % 0.18/0.54 (define @t142 () (@list @t12)) % 0.18/0.54 (define @t143 () (or @t127 @t126 @t130)) % 0.18/0.54 (define @t144 () (lambda @t56 (forall @t128 @t143))) % 0.18/0.54 (define @t145 () (_ @t144 @t12)) % 0.18/0.54 (define @t146 () (or @t134 @t145)) % 0.18/0.54 (define @t147 () (lambda @t142 @t146)) % 0.18/0.54 (define @t148 () (_ @t31 @t12)) % 0.18/0.54 (define @t149 () (@list @t31 @t12)) % 0.18/0.54 (define @t150 () (or @t126 @t130)) % 0.18/0.54 (define @t151 () (or @t127 @t150)) % 0.18/0.54 (define @t152 () (forall @t128 @t151)) % 0.18/0.54 (define @t153 () (@list @t124)) % 0.18/0.54 (define @t154 () (forall @t153 @t151)) % 0.18/0.54 (define @t155 () (forall @t153 @t150)) % 0.18/0.54 (define @t156 () (@var "BOUND_VARIABLE_8399" $$unsorted)) % 0.18/0.54 (define @t157 () (@list @t156)) % 0.18/0.54 (define @t158 () (or @t127 @t155)) % 0.18/0.54 (define @t159 () (_ @t13 @t156)) % 0.18/0.54 (define @t160 () (@list @t156)) % 0.18/0.54 (define @t161 () (forall @t160 (or (not (_ @t3 @t5 @t156)) @t159))) % 0.18/0.54 (define @t162 () (forall @t63 (or @t106 @t132))) % 0.18/0.54 (define @t163 () (lambda @t56 @t162)) % 0.18/0.54 (define @t164 () (or @t127 (_ @t163 @t5))) % 0.18/0.54 (define @t165 () (forall @t63 @t164)) % 0.18/0.54 (define @t166 () (lambda @t56 @t165)) % 0.18/0.54 (define @t167 () (lambda @t29 (forall @t63 (or @t127 @t132)))) % 0.18/0.54 (define @t168 () (lambda @t29 @t162)) % 0.18/0.54 (define @t169 () (_ @t59 @t1 @t5)) % 0.18/0.54 (define @t170 () (lambda @t65 (forall @t63 (or (not @t169) @t132)))) % 0.18/0.54 (define @t171 () (_ @t170 @t3)) % 0.18/0.54 (define @t172 () (_ @t170 @t7)) % 0.18/0.54 (define @t173 () (_ @t163 @t12)) % 0.18/0.54 (define @t174 () (not @t173)) % 0.18/0.54 (define @t175 () (or @t174 @t148)) % 0.18/0.54 (define @t176 () (lambda @t149 @t175)) % 0.18/0.54 (define @t177 () (or (not (_ @t13 @t12)) @t148)) % 0.18/0.54 (define @t178 () (lambda @t37 @t177)) % 0.18/0.54 (define @t179 () (_ @t171 @t13)) % 0.18/0.54 (define @t180 () (lambda @t15 (_ (_ (_ @t178 @t179) (_ @t172 @t179)) @t12))) % 0.18/0.54 (define @t181 () (_ @t3 @t2 @t1)) % 0.18/0.54 (define @t182 () (_ @t3 @t5 @t1)) % 0.18/0.54 (define @t183 () (not @t6)) % 0.18/0.54 (define @t184 () (_ @t7 @t2 @t5)) % 0.18/0.54 (define @t185 () (not @t8)) % 0.18/0.54 (define @t186 () (or @t185 @t183 @t4)) % 0.18/0.54 (define @t187 () (_ @t117 (_ @t141 @t180))) % 0.18/0.54 (define @t188 () (forall @t18 (= @t187 @t11))) % 0.18/0.54 (define @t189 () (or @t28 @t32)) % 0.18/0.54 (define @t190 () (lambda @t56 @t189)) % 0.18/0.54 (define @t191 () (@list @t31 @t1)) % 0.18/0.54 (define @t192 () (lambda @t56 @t28)) % 0.18/0.54 (define @t193 () (_ @t192 @t1)) % 0.18/0.54 (define @t194 () (or @t193 @t32)) % 0.18/0.54 (define @t195 () (lambda @t191 @t194)) % 0.18/0.54 (define @t196 () (forall @t18 (= (forall @t10 (or (not @t184) (not @t182) @t181)) @t110))) % 0.18/0.54 (define @t197 () (@quantifiers_skolemize @t196 0)) % 0.18/0.54 (define @t198 () (@quantifiers_skolemize @t196 1)) % 0.18/0.54 (define @t199 () (forall @t109 (or (not (forall @t63 (or (not (_ @t197 @t1 @t5)) @t105))) (not (_ @t198 @t1 @t102)) (not (_ @t197 @t102 @t100)) @t101))) % 0.18/0.54 (define @t200 () (forall @t10 (or (not (_ @t198 @t2 @t5)) (not (_ @t197 @t5 @t1)) (_ @t197 @t2 @t1)))) % 0.18/0.54 (define @t201 () (= @t200 @t199)) % 0.18/0.54 (define @t202 () (@quantifiers_skolemize @t199 3)) % 0.18/0.54 (define @t203 () (@quantifiers_skolemize @t199 1)) % 0.18/0.54 (define @t204 () (_ @t203 @t202)) % 0.18/0.54 (define @t205 () (@quantifiers_skolemize @t199 2)) % 0.18/0.54 (define @t206 () (_ @t197 @t205 @t202)) % 0.18/0.54 (define @t207 () (not @t206)) % 0.18/0.54 (define @t208 () (@quantifiers_skolemize @t199 0)) % 0.18/0.54 (define @t209 () (_ @t198 @t208 @t205)) % 0.18/0.54 (define @t210 () (not @t209)) % 0.18/0.54 (define @t211 () (forall @t63 (or (not (_ @t197 @t208 @t5)) (_ @t203 @t5)))) % 0.18/0.54 (define @t212 () (not @t211)) % 0.18/0.54 (define @t213 () (or @t212 @t210 @t207 @t204)) % 0.18/0.54 (define @t214 () (not @t213)) % 0.18/0.54 (define @t215 () (not @t199)) % 0.18/0.54 (define @t216 () (_ @t197 @t208 @t202)) % 0.18/0.54 (define @t217 () (or @t210 @t207 @t216)) % 0.18/0.54 (define @t218 () (not @t216)) % 0.18/0.54 (define @t219 () (or @t218 @t204)) % 0.18/0.54 (define @t220 () (not @t200)) % 0.18/0.54 (define @t221 () (@quantifiers_skolemize @t200 2)) % 0.18/0.54 (define @t222 () (@quantifiers_skolemize @t200 0)) % 0.18/0.54 (define @t223 () (_ @t197 @t222 @t221)) % 0.18/0.54 (define @t224 () (@quantifiers_skolemize @t200 1)) % 0.18/0.54 (define @t225 () (not (_ @t197 @t224 @t221))) % 0.18/0.54 (define @t226 () (not (_ @t198 @t222 @t224))) % 0.18/0.54 (define @t227 () (or @t226 @t225 @t223)) % 0.18/0.54 (define @t228 () (not @t227)) % 0.18/0.54 (define @t229 () (_ @t197 @t222)) % 0.18/0.54 (define @t230 () (_ @t229 @t221)) % 0.18/0.54 (define @t231 () (or @t226 @t225 @t230)) % 0.18/0.54 (define @t232 () (_ @t229 @t221)) % 0.18/0.54 (define @t233 () (_ @t197 @t222 @t5)) % 0.18/0.54 (define @t234 () (not @t233)) % 0.18/0.54 (define @t235 () (_ @t229 @t5)) % 0.18/0.54 (define @t236 () (or @t234 @t235)) % 0.18/0.54 (define @t237 () (_ @t229 @t5)) % 0.18/0.54 (define @t238 () (or @t234 @t237)) % 0.18/0.54 (define @t239 () (forall @t63 @t238)) % 0.18/0.54 (define @t240 () (not @t239)) % 0.18/0.54 (define @t241 () (or @t240 @t226 @t225 @t232)) % 0.18/0.54 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.18/0.54 (assume @p2 @t20) % 0.18/0.54 (assume @p3 true) % 0.18/0.54 (step @p4 (= tptp.meq_ind @t23) :rule refl :args (@t23)) % 0.18/0.54 (step @p5 (= tptp.meq_prop @t26) :rule refl :args (@t26)) % 0.18/0.54 (step @p6 (= tptp.mnot @t30) :rule refl :args (@t30)) % 0.18/0.54 (step @p7 (= tptp.mor @t33) :rule refl :args (@t33)) % 0.18/0.54 (step @p8 (= tptp.mand @t38) :rule refl :args (@t38)) % 0.18/0.54 (step @p9 (= tptp.mimplies @t39) :rule refl :args (@t39)) % 0.18/0.54 (step @p10 (= tptp.mimplied @t40) :rule refl :args (@t40)) % 0.18/0.54 (step @p11 (= tptp.mequiv @t41) :rule refl :args (@t41)) % 0.18/0.54 (step @p12 (= tptp.mxor @t42) :rule refl :args (@t42)) % 0.18/0.54 (step @p13 (= tptp.mforall_ind @t45) :rule refl :args (@t45)) % 0.18/0.54 (step @p14 (= tptp.mforall_prop @t53) :rule refl :args (@t53)) % 0.18/0.54 (step @p15 (= tptp.mexists_ind @t54) :rule refl :args (@t54)) % 0.18/0.54 (step @p16 (= tptp.mexists_prop @t55) :rule refl :args (@t55)) % 0.18/0.54 (step @p17 (= tptp.mtrue @t57) :rule refl :args (@t57)) % 0.18/0.54 (step @p18 (= tptp.mbox @t66) :rule refl :args (@t66)) % 0.18/0.54 (step @p19 (= tptp.mdia @t67) :rule refl :args (@t67)) % 0.18/0.54 (step @p20 (= tptp.mreflexive @t72) :rule refl :args (@t72)) % 0.18/0.54 (step @p21 (= tptp.msymmetric @t76) :rule refl :args (@t76)) % 0.18/0.54 (step @p22 (= tptp.mserial @t78) :rule refl :args (@t78)) % 0.18/0.54 (step @p23 (= tptp.mtransitive @t82) :rule refl :args (@t82)) % 0.18/0.54 (step @p24 (= tptp.meuclidean @t84) :rule refl :args (@t84)) % 0.18/0.54 (step @p25 (= tptp.mpartially_functional @t86) :rule refl :args (@t86)) % 0.18/0.54 (step @p26 (= tptp.mfunctional @t88) :rule refl :args (@t88)) % 0.18/0.54 (step @p27 (= tptp.mweakly_dense @t91) :rule refl :args (@t91)) % 0.18/0.54 (step @p28 (= tptp.mweakly_connected @t92) :rule refl :args (@t92)) % 0.18/0.54 (step @p29 (= tptp.mweakly_directed @t93) :rule refl :args (@t93)) % 0.18/0.54 (step @p30 (= tptp.mvalid @t96) :rule refl :args (@t96)) % 0.18/0.54 (step @p31 (= tptp.minvalid @t97) :rule refl :args (@t97)) % 0.18/0.54 (step @p32 (= tptp.msatisfiable @t98) :rule refl :args (@t98)) % 0.18/0.54 (step @p33 (= tptp.mcountersatisfiable @t99) :rule refl :args (@t99)) % 0.18/0.54 (step @p34 :rule quant-merge-prenex :args ((= (forall @t56 @t112) @t110))) % 0.18/0.54 (step @p35 :rule beta-reduce :args ((= @t114 @t112))) % 0.18/0.54 (step @p36 :rule cong :premises (@p35) :args (@t115)) % 0.18/0.54 (step @p37 :rule trans :premises (@p36 @p34)) % 0.18/0.54 (step @p38 :rule beta-reduce :args ((= (_ @t117 @t113) @t115))) % 0.18/0.54 (step @p39 :rule trans :premises (@p38 @p37)) % 0.18/0.54 (step @p40 :rule aci_norm :args ((= @t119 @t108))) % 0.18/0.54 (step @p41 :rule cong :premises (@p40) :args (@t120)) % 0.18/0.54 (step @p42 :rule quant-merge-prenex :args ((= (forall @t50 @t122) @t120))) % 0.18/0.54 (step @p43 :rule alpha_equiv :args (@t123 (@list @t102 @t100) (@list @t5 @t124))) % 0.18/0.54 (step @p44 :rule refl :args (@t107)) % 0.18/0.54 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t125)) % 0.18/0.54 (step @p46 :rule quant-miniscope-or :args ((= @t122 @t125))) % 0.18/0.54 (step @p47 :rule trans :premises (@p46 @p45)) % 0.18/0.54 (step @p48 :rule symm :premises (@p47)) % 0.18/0.54 (step @p49 :rule cong :premises (@p48) :args ((forall @t50 @t129))) % 0.18/0.54 (step @p50 :rule trans :premises (@p49 @p42)) % 0.18/0.54 (step @p51 :rule trans :premises (@p50 @p41)) % 0.18/0.54 (step @p52 :rule beta-reduce :args ((= @t137 @t129))) % 0.18/0.54 (step @p53 :rule cong :premises (@p52) :args (@t138)) % 0.18/0.54 (step @p54 :rule trans :premises (@p53 @p51)) % 0.18/0.54 (step @p55 :rule cong :premises (@p54) :args (@t139)) % 0.18/0.54 (step @p56 :rule beta-reduce :args ((= (_ @t141 @t136) @t139))) % 0.18/0.54 (step @p57 :rule trans :premises (@p56 @p55)) % 0.18/0.54 (step @p58 :rule beta-reduce :args ((= (_ (lambda @t142 @t135) @t12) @t135))) % 0.18/0.54 (step @p59 :rule refl :args (@t12)) % 0.18/0.54 (step @p60 :rule beta-reduce :args ((= @t145 @t131))) % 0.18/0.54 (step @p61 :rule refl :args (@t134)) % 0.18/0.54 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t146)) % 0.18/0.54 (step @p63 :rule cong :premises (@p62) :args (@t147)) % 0.18/0.54 (step @p64 :rule beta-reduce :args ((= (_ (lambda @t149 (or @t134 @t148)) @t144) @t147))) % 0.18/0.54 (step @p65 :rule trans :premises (@p64 @p63)) % 0.18/0.54 (step @p66 :rule aci_norm :args ((= @t151 @t143))) % 0.18/0.54 (step @p67 :rule cong :premises (@p66) :args (@t152)) % 0.18/0.54 (step @p68 :rule quant-merge-prenex :args ((= (forall @t63 @t154) @t152))) % 0.18/0.54 (step @p69 :rule alpha_equiv :args (@t155 (@list @t124) @t157)) % 0.18/0.54 (step @p70 :rule refl :args (@t127)) % 0.18/0.54 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t158)) % 0.18/0.54 (step @p72 :rule quant-miniscope-or :args ((= @t154 @t158))) % 0.18/0.54 (step @p73 :rule trans :premises (@p72 @p71)) % 0.18/0.54 (step @p74 :rule symm :premises (@p73)) % 0.18/0.54 (step @p75 :rule cong :premises (@p74) :args ((forall @t63 (or @t127 @t161)))) % 0.18/0.54 (step @p76 :rule trans :premises (@p75 @p68)) % 0.18/0.54 (step @p77 :rule trans :premises (@p76 @p67)) % 0.18/0.54 (step @p78 :rule beta-reduce :args ((= (_ (lambda @t56 (forall @t160 (or (not (_ @t3 @t1 @t156)) @t159))) @t5) @t161))) % 0.18/0.54 (step @p79 :rule refl :args (@t5)) % 0.18/0.54 (step @p80 :rule alpha_equiv :args (@t162 (@list @t5) @t157)) % 0.18/0.54 (step @p81 :rule cong :premises (@p80) :args (@t163)) % 0.18/0.54 (step @p82 :rule ho_cong :premises (@p81 @p79)) % 0.18/0.54 (step @p83 :rule trans :premises (@p82 @p78)) % 0.18/0.54 (step @p84 :rule refl :args (@t127)) % 0.18/0.54 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t164)) % 0.18/0.54 (step @p86 :rule cong :premises (@p85) :args (@t165)) % 0.18/0.54 (step @p87 :rule trans :premises (@p86 @p77)) % 0.18/0.54 (step @p88 :rule cong :premises (@p87) :args (@t166)) % 0.18/0.54 (step @p89 :rule beta-reduce :args ((= (_ @t167 @t163) @t166))) % 0.18/0.54 (step @p90 :rule trans :premises (@p89 @p88)) % 0.18/0.54 (step @p91 :rule beta-reduce :args ((= (_ @t168 @t13) @t163))) % 0.18/0.54 (step @p92 :rule refl :args (@t13)) % 0.18/0.54 (step @p93 :rule beta-reduce :args ((= @t171 @t168))) % 0.18/0.54 (step @p94 :rule ho_cong :premises (@p93 @p92)) % 0.18/0.54 (step @p95 :rule trans :premises (@p94 @p91)) % 0.18/0.54 (step @p96 :rule beta-reduce :args ((= @t172 @t167))) % 0.18/0.54 (step @p97 :rule ho_cong :premises (@p96 @p95)) % 0.18/0.54 (step @p98 :rule trans :premises (@p97 @p90)) % 0.18/0.54 (step @p99 :rule refl :args (@t148)) % 0.18/0.54 (step @p100 :rule beta-reduce :args ((= @t173 @t133))) % 0.18/0.54 (step @p101 :rule cong :premises (@p100) :args (@t174)) % 0.18/0.54 (step @p102 :rule nary_cong :premises (@p101 @p99) :args (@t175)) % 0.18/0.54 (step @p103 :rule cong :premises (@p102) :args (@t176)) % 0.18/0.54 (step @p104 :rule beta-reduce :args ((= (_ @t178 @t163) @t176))) % 0.18/0.54 (step @p105 :rule trans :premises (@p104 @p103)) % 0.18/0.54 (step @p106 :rule refl :args (@t178)) % 0.18/0.54 (step @p107 :rule ho_cong :premises (@p106 @p95)) % 0.18/0.54 (step @p108 :rule trans :premises (@p107 @p105)) % 0.18/0.54 (step @p109 :rule ho_cong :premises (@p108 @p98)) % 0.18/0.54 (step @p110 :rule trans :premises (@p109 @p65)) % 0.18/0.54 (step @p111 :rule ho_cong :premises (@p110 @p59)) % 0.18/0.54 (step @p112 :rule trans :premises (@p111 @p58)) % 0.18/0.54 (step @p113 :rule cong :premises (@p112) :args (@t180)) % 0.18/0.54 (step @p114 :rule refl :args (@t141)) % 0.18/0.54 (step @p115 :rule ho_cong :premises (@p114 @p113)) % 0.18/0.54 (step @p116 :rule trans :premises (@p115 @p57)) % 0.18/0.54 (step @p117 :rule refl :args (@t117)) % 0.18/0.54 (step @p118 :rule ho_cong :premises (@p117 @p116)) % 0.18/0.54 (step @p119 :rule trans :premises (@p118 @p39)) % 0.18/0.54 (step @p120 :rule refl :args (@t181)) % 0.18/0.54 (step @p121 :rule refl :args (@t4)) % 0.18/0.54 (step @p122 :rule cong :premises (@p121 @p120) :args ((= @t4 @t181))) % 0.18/0.54 (step @p123 :rule symm :premises (@p122)) % 0.18/0.54 (step @p124 :rule eq_resolve :premises (@p121 @p123)) % 0.18/0.54 (step @p125 :rule refl :args (@t182)) % 0.18/0.54 (step @p126 :rule refl :args (@t6)) % 0.18/0.54 (step @p127 :rule cong :premises (@p126 @p125) :args ((= @t6 @t182))) % 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0.18/0.54 (step @p251 :rule reordering :premises (@p250) :args ((or @t206 @t213))) % 0.18/0.54 (step @p252 :rule cnf_or_neg :args (@t213 3)) % 0.18/0.54 (assume-push @p327 @t200) % 0.18/0.54 (step @p254 :rule instantiate :premises (@p327) :args ((@list @t208 @t205 @t202))) % 0.18/0.54 (step-pop @p328 :rule scope :premises (@p254)) % 0.18/0.54 (step @p255 :rule process_scope :premises (@p328) :args (@t217)) % 0.18/0.54 (step @p257 :rule implies_elim :premises (@p255)) % 0.18/0.54 (assume-push @p329 @t211) % 0.18/0.54 (step @p259 :rule instantiate :premises (@p329) :args ((@list @t202))) % 0.18/0.54 (step-pop @p330 :rule scope :premises (@p259)) % 0.18/0.54 (step @p260 :rule process_scope :premises (@p330) :args (@t219)) % 0.18/0.54 (step @p262 :rule implies_elim :premises (@p260)) % 0.18/0.54 (step @p263 :rule cnf_or_pos :args (@t217)) % 0.18/0.54 (step @p264 :rule reordering :premises (@p263) :args ((or @t210 @t207 @t216 (not @t217)))) % 0.18/0.54 (step @p265 :rule cnf_or_pos :args 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:rule scope :premises (@p275)) % 0.18/0.54 (step @p276 :rule process_scope :premises (@p332) :args (@t228)) % 0.18/0.54 (step @p278 :rule implies_elim :premises (@p276)) % 0.18/0.54 (step @p279 :rule eq_resolve :premises (@p278 @p273)) % 0.18/0.54 (step @p280 :rule chain_m_resolution :premises (@p279 @p267) :args (@t228 (@list true) (@list @t200))) % 0.18/0.54 (step @p281 :rule refl :args (@t223)) % 0.18/0.54 (step @p282 :rule refl :args (@t230)) % 0.18/0.54 (step @p283 :rule cong :premises (@p282 @p281) :args ((= @t230 @t223))) % 0.18/0.54 (step @p284 :rule symm :premises (@p283)) % 0.18/0.54 (step @p285 :rule eq_resolve :premises (@p282 @p284)) % 0.18/0.54 (step @p286 :rule refl :args (@t225)) % 0.18/0.54 (step @p287 :rule refl :args (@t226)) % 0.18/0.54 (step @p288 :rule nary_cong :premises (@p287 @p286 @p285) :args (@t231)) % 0.18/0.54 (step @p289 :rule refl :args (@t199)) % 0.18/0.54 (step @p290 :rule cong :premises (@p289 @p288) :args ((=> @t199 @t231))) % 0.18/0.54 (step @p291 :rule aci_norm :args ((= (or false @t226 @t225 @t230) @t231))) % 0.18/0.54 (step @p292 :rule refl :args (@t232)) % 0.18/0.54 (step @p293 :rule evaluate :args ((not true))) % 0.18/0.54 (step @p294 :rule quant-unused-vars :args ((= (forall @t63 true) true))) % 0.18/0.54 (step @p295 :rule bool-or-taut2 :args (false @t233 false false)) % 0.18/0.54 (step @p296 :rule cong :premises (@p295) :args ((forall @t63 (or @t234 @t233)))) % 0.18/0.54 (step @p297 :rule trans :premises (@p296 @p294)) % 0.18/0.54 (step @p298 :rule refl :args (@t233)) % 0.18/0.54 (step @p299 :rule refl :args (@t235)) % 0.18/0.54 (step @p300 :rule cong :premises (@p299 @p298) :args ((= @t235 @t233))) % 0.18/0.54 (step @p301 :rule symm :premises (@p300)) % 0.18/0.54 (step @p302 :rule eq_resolve :premises (@p299 @p301)) % 0.18/0.54 (step @p303 :rule refl :args (@t234)) % 0.18/0.54 (step @p304 :rule nary_cong :premises (@p303 @p302) :args (@t236)) % 0.18/0.54 (step @p305 :rule cong :premises (@p304) :args ((forall @t63 @t236))) % 0.18/0.54 (step @p306 :rule trans :premises (@p305 @p297)) % 0.18/0.54 (step @p307 :rule refl :args (@t237)) % 0.18/0.54 (step @p308 :rule refl :args (@t234)) % 0.18/0.54 (step @p309 :rule nary_cong :premises (@p308 @p307) :args (@t238)) % 0.18/0.54 (step @p310 :rule cong :premises (@p309) :args (@t239)) % 0.18/0.54 (step @p311 :rule trans :premises (@p310 @p306)) % 0.18/0.54 (step @p312 :rule cong :premises (@p311) :args (@t240)) % 0.18/0.54 (step @p313 :rule trans :premises (@p312 @p293)) % 0.18/0.54 (step @p314 :rule nary_cong :premises (@p313 @p287 @p286 @p292) :args (@t241)) % 0.18/0.54 (step @p315 :rule trans :premises (@p314 @p291)) % 0.18/0.54 (step @p316 :rule cong :premises (@p289 @p315) :args ((=> @t199 @t241))) % 0.18/0.54 (assume-push @p333 @t199) % 0.18/0.54 (step @p318 :rule instantiate :premises (@p333) :args ((@list @t222 @t229 @t224 @t221))) % 0.18/0.54 (step-pop @p334 :rule scope :premises (@p318)) % 0.18/0.54 (step @p319 :rule process_scope :premises (@p334) :args (@t241)) % 0.18/0.54 (step @p321 :rule eq_resolve :premises (@p319 @p316)) % 0.18/0.54 (step @p322 :rule eq_resolve :premises (@p321 @p290)) % 0.18/0.54 (step @p323 :rule implies_elim :premises (@p322)) % 0.18/0.54 (step @p324 false :rule chain_m_resolution :premises (@p323 @p280 @p270) :args (false (@list true false) (@list @t227 @t199))) % 0.18/0.54 ) % 0.18/0.54 % SZS output end Proof % 0.18/0.54 % cvc5 exiting %------------------------------------------------------------------------------