%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO445^1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:12:40 AM UTC 2026 % Result : Theorem 0.36s 0.65s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO445^1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n001.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 00:08:35 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 0.36/0.65 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.65 % SZS status Theorem % 0.36/0.65 % SZS output start Proof % 0.36/0.65 ( % 0.36/0.65 (declare-sort $$unsorted 0) % 0.36/0.65 (declare-sort tptp.mu 0) % 0.36/0.65 (declare-const tptp.rel_s5 (-> $$unsorted $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.p (-> $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.q (-> $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.36/0.65 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.36/0.65 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.36/0.65 (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)))))) % 0.36/0.65 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.36/0.65 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.36/0.65 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.36/0.65 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.36/0.65 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.36/0.65 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.36/0.65 (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))))))) % 0.36/0.65 (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))))))) % 0.36/0.65 (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)))))) % 0.36/0.65 (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)))))) % 0.36/0.65 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.36/0.65 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.36/0.65 (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)))))) % 0.36/0.65 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.36/0.65 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.36/0.65 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.36/0.65 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.36/0.65 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.36/0.65 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.36/0.65 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.36/0.65 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.36/0.65 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.36/0.65 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.36/0.65 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.36/0.65 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.36/0.65 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.36/0.65 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.36/0.65 (define tptp.mbox_s5 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s5 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.36/0.65 (define tptp.mdia_s5 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s5 (_ tptp.mnot _let_2))) _let_1))))) % 0.36/0.65 (define @t1 () (_ tptp.mdia_s5 tptp.q)) % 0.36/0.65 (define @t2 () (not (_ tptp.mvalid (_ (_ tptp.mequiv (_ (_ tptp.mor (_ tptp.mbox_s5 tptp.p)) @t1)) (_ tptp.mbox_s5 (_ (_ tptp.mor tptp.p) @t1)))))) % 0.36/0.65 (define @t3 () (@var "Y" tptp.mu)) % 0.36/0.65 (define @t4 () (@var "X" tptp.mu)) % 0.36/0.65 (define @t5 () (@var "W" $$unsorted)) % 0.36/0.65 (define @t6 () (lambda (@list @t4 @t3 @t5) (= @t4 @t3))) % 0.36/0.65 (define @t7 () (@var "Y" (-> $$unsorted Bool))) % 0.36/0.65 (define @t8 () (@var "X" (-> $$unsorted Bool))) % 0.36/0.65 (define @t9 () (lambda (@list @t8 @t7 @t5) (= (_ @t8 @t5) (_ @t7 @t5)))) % 0.36/0.65 (define @t10 () (@var "Phi" (-> $$unsorted Bool))) % 0.36/0.65 (define @t11 () (_ @t10 @t5)) % 0.36/0.65 (define @t12 () (not @t11)) % 0.36/0.65 (define @t13 () (@list @t10 @t5)) % 0.36/0.65 (define @t14 () (lambda @t13 @t12)) % 0.36/0.65 (define @t15 () (@var "Psi" (-> $$unsorted Bool))) % 0.36/0.65 (define @t16 () (_ @t15 @t5)) % 0.36/0.65 (define @t17 () (lambda (@list @t10 @t15 @t5) (or @t11 @t16))) % 0.36/0.65 (define @t18 () (@var "__flatten_var_0" $$unsorted)) % 0.36/0.65 (define @t19 () (_ tptp.mnot @t15)) % 0.36/0.65 (define @t20 () (_ tptp.mnot @t10)) % 0.36/0.65 (define @t21 () (_ tptp.mor @t20)) % 0.36/0.65 (define @t22 () (@list @t10 @t15 @t18)) % 0.36/0.65 (define @t23 () (lambda @t22 (_ (_ tptp.mnot (_ @t21 @t19)) @t18))) % 0.36/0.65 (define @t24 () (lambda @t22 (_ (_ @t21 @t15) @t18))) % 0.36/0.65 (define @t25 () (lambda @t22 (_ (_ (_ tptp.mor @t19) @t10) @t18))) % 0.36/0.65 (define @t26 () (lambda @t22 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t10) @t15)) (_ (_ tptp.mimplies @t15) @t10)) @t18))) % 0.36/0.65 (define @t27 () (lambda @t22 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t10) @t15)) @t18))) % 0.36/0.65 (define @t28 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.36/0.65 (define @t29 () (_ @t28 @t4)) % 0.36/0.65 (define @t30 () (lambda (@list @t28 @t5) (forall (@list @t4) (_ @t29 @t5)))) % 0.36/0.65 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 0.36/0.65 (define @t32 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.36/0.65 (define @t33 () (_ @t32 @t31)) % 0.36/0.65 (define @t34 () (lambda (@list @t32 @t5) (forall (@list @t31) (_ @t33 @t5)))) % 0.36/0.65 (define @t35 () (lambda (@list @t28 @t18) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t4 @t18) (_ (_ tptp.mnot @t29) @t18)))) @t18))) % 0.36/0.65 (define @t36 () (lambda (@list @t32 @t18) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t31 @t18) (_ (_ tptp.mnot @t33) @t18)))) @t18))) % 0.36/0.65 (define @t37 () (@list @t5)) % 0.36/0.65 (define @t38 () (lambda @t37 true)) % 0.36/0.65 (define @t39 () (@var "V" $$unsorted)) % 0.36/0.65 (define @t40 () (_ @t10 @t39)) % 0.36/0.65 (define @t41 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.36/0.65 (define @t42 () (@list @t39)) % 0.36/0.65 (define @t43 () (lambda (@list @t41 @t10 @t5) (forall @t42 (or (not (_ (_ @t41 @t5) @t39)) @t40)))) % 0.36/0.65 (define @t44 () (lambda (@list @t41 @t10 @t18) (_ (_ tptp.mnot (_ (_ tptp.mbox @t41) @t20)) @t18))) % 0.36/0.65 (define @t45 () (@var "S" $$unsorted)) % 0.36/0.65 (define @t46 () (_ @t41 @t45)) % 0.36/0.65 (define @t47 () (@list @t45)) % 0.36/0.65 (define @t48 () (@list @t41)) % 0.36/0.65 (define @t49 () (lambda @t48 (forall @t47 (_ @t46 @t45)))) % 0.36/0.65 (define @t50 () (@var "T" $$unsorted)) % 0.36/0.65 (define @t51 () (_ @t41 @t50)) % 0.36/0.65 (define @t52 () (_ @t51 @t45)) % 0.36/0.65 (define @t53 () (_ @t46 @t50)) % 0.36/0.65 (define @t54 () (@list @t45 @t50)) % 0.36/0.65 (define @t55 () (forall @t54 (=> @t53 @t52))) % 0.36/0.65 (define @t56 () (lambda @t48 @t55)) % 0.36/0.65 (define @t57 () (@list @t50)) % 0.36/0.65 (define @t58 () (lambda @t48 (forall @t47 (exists @t57 @t53)))) % 0.36/0.65 (define @t59 () (@var "U" $$unsorted)) % 0.36/0.65 (define @t60 () (_ @t46 @t59)) % 0.36/0.65 (define @t61 () (_ @t51 @t59)) % 0.36/0.65 (define @t62 () (and @t53 @t61)) % 0.36/0.65 (define @t63 () (@list @t45 @t50 @t59)) % 0.36/0.65 (define @t64 () (forall @t63 (=> @t62 @t60))) % 0.36/0.65 (define @t65 () (lambda @t48 @t64)) % 0.36/0.65 (define @t66 () (and @t53 @t60)) % 0.36/0.65 (define @t67 () (lambda @t48 (forall @t63 (=> @t66 @t61)))) % 0.36/0.65 (define @t68 () (= @t50 @t59)) % 0.36/0.65 (define @t69 () (lambda @t48 (forall @t63 (=> @t66 @t68)))) % 0.36/0.65 (define @t70 () (@list @t59)) % 0.36/0.65 (define @t71 () (lambda @t48 (forall @t47 (exists @t57 (and @t53 (forall @t70 (=> @t60 @t68))))))) % 0.36/0.65 (define @t72 () (_ @t41 @t59)) % 0.36/0.65 (define @t73 () (_ @t72 @t50)) % 0.36/0.65 (define @t74 () (lambda @t48 (forall @t63 (=> @t53 (exists @t70 (and @t60 @t73)))))) % 0.36/0.65 (define @t75 () (lambda @t48 (forall @t63 (=> @t66 (or @t61 @t68 @t73))))) % 0.36/0.65 (define @t76 () (lambda @t48 (forall @t63 (=> @t66 (exists @t42 (and (_ @t51 @t39) (_ @t72 @t39))))))) % 0.36/0.65 (define @t77 () (forall @t37 @t11)) % 0.36/0.65 (define @t78 () (@list @t10)) % 0.36/0.65 (define @t79 () (lambda @t78 @t77)) % 0.36/0.65 (define @t80 () (lambda @t78 (forall @t37 @t12))) % 0.36/0.65 (define @t81 () (lambda @t78 (exists @t37 @t11))) % 0.36/0.65 (define @t82 () (lambda @t78 (exists @t37 @t12))) % 0.36/0.65 (define @t83 () (_ (_ tptp.rel_s5 @t5) @t39)) % 0.36/0.65 (define @t84 () (not @t83)) % 0.36/0.65 (define @t85 () (or @t84 @t40)) % 0.36/0.65 (define @t86 () (forall @t42 @t85)) % 0.36/0.65 (define @t87 () (lambda @t13 @t86)) % 0.36/0.65 (define @t88 () (@list @t10 @t18)) % 0.36/0.65 (define @t89 () (lambda @t88 (_ (_ tptp.mnot (_ tptp.mbox_s5 @t20)) @t18))) % 0.36/0.65 (define @t90 () (not (tptp.rel_s5 @t45 @t50))) % 0.36/0.65 (define @t91 () (forall @t63 (or @t90 (not (tptp.rel_s5 @t50 @t59)) (tptp.rel_s5 @t45 @t59)))) % 0.36/0.65 (define @t92 () (_ @t41 @t45 @t59)) % 0.36/0.65 (define @t93 () (_ @t41 @t50 @t59)) % 0.36/0.65 (define @t94 () (_ @t41 @t45 @t50)) % 0.36/0.65 (define @t95 () (not @t94)) % 0.36/0.65 (define @t96 () (not @t61)) % 0.36/0.65 (define @t97 () (not @t53)) % 0.36/0.65 (define @t98 () (or @t97 @t96 @t60)) % 0.36/0.65 (define @t99 () (@var "BOUND_VARIABLE_8490" $$unsorted)) % 0.36/0.65 (define @t100 () (not (tptp.q @t99))) % 0.36/0.65 (define @t101 () (@var "BOUND_VARIABLE_8593" $$unsorted)) % 0.36/0.65 (define @t102 () (@list @t99)) % 0.36/0.65 (define @t103 () (not (forall @t102 (or (not (tptp.rel_s5 @t101 @t99)) @t100)))) % 0.36/0.65 (define @t104 () (tptp.p @t101)) % 0.36/0.65 (define @t105 () (@var "BOUND_VARIABLE_8554" $$unsorted)) % 0.36/0.65 (define @t106 () (not (tptp.rel_s5 @t105 @t101))) % 0.36/0.65 (define @t107 () (@var "BOUND_VARIABLE_8585" $$unsorted)) % 0.36/0.65 (define @t108 () (or (not (tptp.rel_s5 @t105 @t107)) (not (tptp.q @t107)))) % 0.36/0.65 (define @t109 () (tptp.p @t39)) % 0.36/0.65 (define @t110 () (not (tptp.rel_s5 @t105 @t39))) % 0.36/0.65 (define @t111 () (not (forall @t42 (or @t110 @t109)))) % 0.36/0.65 (define @t112 () (and @t111 @t108)) % 0.36/0.65 (define @t113 () (or @t112 @t106 @t104 @t103)) % 0.36/0.65 (define @t114 () (@list @t105 @t107 @t101)) % 0.36/0.65 (define @t115 () (forall @t114 @t113)) % 0.36/0.65 (define @t116 () (@quantifiers_skolemize @t115 2)) % 0.36/0.65 (define @t117 () (forall @t102 (or (not (tptp.rel_s5 @t116 @t99)) @t100))) % 0.36/0.65 (define @t118 () (not @t117)) % 0.36/0.65 (define @t119 () (tptp.p @t116)) % 0.36/0.65 (define @t120 () (@quantifiers_skolemize @t115 0)) % 0.36/0.65 (define @t121 () (tptp.rel_s5 @t120 @t116)) % 0.36/0.65 (define @t122 () (not @t121)) % 0.36/0.65 (define @t123 () (@quantifiers_skolemize @t115 1)) % 0.36/0.65 (define @t124 () (tptp.q @t123)) % 0.36/0.65 (define @t125 () (not @t124)) % 0.36/0.65 (define @t126 () (tptp.rel_s5 @t120 @t123)) % 0.36/0.65 (define @t127 () (not @t126)) % 0.36/0.65 (define @t128 () (or @t127 @t125)) % 0.36/0.65 (define @t129 () (forall @t42 (or (not (tptp.rel_s5 @t120 @t39)) @t109))) % 0.36/0.65 (define @t130 () (not @t129)) % 0.36/0.65 (define @t131 () (and @t130 @t128)) % 0.36/0.65 (define @t132 () (or @t131 @t122 @t119 @t118)) % 0.36/0.65 (define @t133 () (_ @t41 @t50 @t45)) % 0.36/0.65 (define @t134 () (or @t97 @t52)) % 0.36/0.65 (define @t135 () (tptp.rel_s5 @t116 @t120)) % 0.36/0.65 (define @t136 () (or @t122 @t135)) % 0.36/0.65 (define @t137 () (or @t122 @t119)) % 0.36/0.65 (define @t138 () (tptp.rel_s5 @t116 @t123)) % 0.36/0.65 (define @t139 () (not @t138)) % 0.36/0.65 (define @t140 () (or @t139 @t125)) % 0.36/0.65 (define @t141 () (not @t128)) % 0.36/0.65 (define @t142 () (not @t135)) % 0.36/0.65 (define @t143 () (or @t142 @t127 @t138)) % 0.36/0.65 (define @t144 () (not @t132)) % 0.36/0.65 (define @t145 () (not @t115)) % 0.36/0.65 (define @t146 () (@list false)) % 0.36/0.65 (define @t147 () (@var "BOUND_VARIABLE_8609" $$unsorted)) % 0.36/0.65 (define @t148 () (tptp.p @t147)) % 0.36/0.65 (define @t149 () (@var "BOUND_VARIABLE_8569" $$unsorted)) % 0.36/0.65 (define @t150 () (not (tptp.rel_s5 @t149 @t147))) % 0.36/0.65 (define @t151 () (not (tptp.q @t39))) % 0.36/0.65 (define @t152 () (not (tptp.rel_s5 @t149 @t39))) % 0.36/0.65 (define @t153 () (not (forall @t42 (or @t152 @t151)))) % 0.36/0.65 (define @t154 () (not (forall @t102 (or (not (tptp.rel_s5 @t39 @t99)) @t100)))) % 0.36/0.65 (define @t155 () (not (forall @t42 (or @t152 @t109 @t154)))) % 0.36/0.65 (define @t156 () (or @t155 @t153 @t150 @t148)) % 0.36/0.65 (define @t157 () (or @t150 @t148)) % 0.36/0.65 (define @t158 () (or @t155 @t157 @t153)) % 0.36/0.65 (define @t159 () (@list @t149 @t147)) % 0.36/0.65 (define @t160 () (forall @t159 @t158)) % 0.36/0.65 (define @t161 () (@list @t147)) % 0.36/0.65 (define @t162 () (forall @t161 @t158)) % 0.36/0.65 (define @t163 () (@list @t149)) % 0.36/0.65 (define @t164 () (forall @t161 @t157)) % 0.36/0.65 (define @t165 () (@list @t39)) % 0.36/0.65 (define @t166 () (or @t155 @t164 @t153)) % 0.36/0.65 (define @t167 () (forall @t163 (or @t155 (forall @t42 (or @t152 @t109)) @t153))) % 0.36/0.65 (define @t168 () (or @t106 @t104 @t103)) % 0.36/0.65 (define @t169 () (or @t112 @t168)) % 0.36/0.65 (define @t170 () (forall @t114 @t169)) % 0.36/0.65 (define @t171 () (forall (@list @t107 @t101) @t169)) % 0.36/0.65 (define @t172 () (@list @t105)) % 0.36/0.65 (define @t173 () (forall (@list @t101) @t168)) % 0.36/0.65 (define @t174 () (@list @t107)) % 0.36/0.65 (define @t175 () (forall @t174 @t108)) % 0.36/0.65 (define @t176 () (forall @t174 @t111)) % 0.36/0.65 (define @t177 () (and @t176 @t175)) % 0.36/0.65 (define @t178 () (forall @t174 @t112)) % 0.36/0.65 (define @t179 () (or @t178 @t173)) % 0.36/0.65 (define @t180 () (forall @t172 (or (and @t111 (forall @t42 (or @t110 @t151))) (forall @t42 (or @t110 @t109 @t154))))) % 0.36/0.65 (define @t181 () (tptp.rel_s5 @t5 @t39)) % 0.36/0.65 (define @t182 () (not @t181)) % 0.36/0.65 (define @t183 () (forall @t42 (or @t182 @t151))) % 0.36/0.65 (define @t184 () (not @t183)) % 0.36/0.65 (define @t185 () (forall @t42 (or @t182 @t109))) % 0.36/0.65 (define @t186 () (forall @t42 (or @t182 @t109 @t154))) % 0.36/0.65 (define @t187 () (or (not @t186) @t185 @t184)) % 0.36/0.65 (define @t188 () (forall @t37 @t187)) % 0.36/0.65 (define @t189 () (@list @t5)) % 0.36/0.65 (define @t190 () (not @t185)) % 0.36/0.65 (define @t191 () (or (and @t190 @t183) @t186)) % 0.36/0.65 (define @t192 () (forall @t37 @t191)) % 0.36/0.65 (define @t193 () (and @t192 @t188)) % 0.36/0.65 (define @t194 () (or @t185 @t184)) % 0.36/0.65 (define @t195 () (or (not @t194) @t186)) % 0.36/0.65 (define @t196 () (not @t187)) % 0.36/0.65 (define @t197 () (not @t195)) % 0.36/0.65 (define @t198 () (not (or @t197 @t196))) % 0.36/0.65 (define @t199 () (not (tptp.rel_s5 @t18 @t39))) % 0.36/0.65 (define @t200 () (not (forall @t42 (or @t199 @t151)))) % 0.36/0.65 (define @t201 () (forall @t42 (or @t199 @t109))) % 0.36/0.65 (define @t202 () (forall @t42 (or @t199 @t109 @t154))) % 0.36/0.65 (define @t203 () (or @t201 @t200)) % 0.36/0.65 (define @t204 () (not @t203)) % 0.36/0.65 (define @t205 () (@list @t18)) % 0.36/0.65 (define @t206 () (lambda @t205 (not (or (not (or @t204 @t202)) (not (or (not @t202) @t201 @t200)))))) % 0.36/0.65 (define @t207 () (_ @t206 @t5)) % 0.36/0.65 (define @t208 () (forall @t37 @t207)) % 0.36/0.65 (define @t209 () (_ @t10 @t5)) % 0.36/0.65 (define @t210 () (lambda @t78 (forall @t37 @t209))) % 0.36/0.65 (define @t211 () (lambda @t37 @t186)) % 0.36/0.65 (define @t212 () (_ @t211 @t18)) % 0.36/0.65 (define @t213 () (not @t212)) % 0.36/0.65 (define @t214 () (or @t213 @t201 @t200)) % 0.36/0.65 (define @t215 () (not @t214)) % 0.36/0.65 (define @t216 () (or @t204 @t212)) % 0.36/0.65 (define @t217 () (not @t216)) % 0.36/0.66 (define @t218 () (or @t217 @t215)) % 0.36/0.66 (define @t219 () (not @t218)) % 0.36/0.66 (define @t220 () (lambda @t205 @t219)) % 0.36/0.66 (define @t221 () (_ @t15 @t18)) % 0.36/0.66 (define @t222 () (not @t221)) % 0.36/0.66 (define @t223 () (or @t222 @t201 @t200)) % 0.36/0.66 (define @t224 () (@list @t15 @t18)) % 0.36/0.66 (define @t225 () (_ tptp.p @t39)) % 0.36/0.66 (define @t226 () (or @t182 @t225 @t154)) % 0.36/0.66 (define @t227 () (or @t225 @t154)) % 0.36/0.66 (define @t228 () (_ tptp.p @t5)) % 0.36/0.66 (define @t229 () (or @t228 @t184)) % 0.36/0.66 (define @t230 () (lambda @t37 @t229)) % 0.36/0.66 (define @t231 () (or @t182 (_ @t230 @t39))) % 0.36/0.66 (define @t232 () (forall @t42 @t231)) % 0.36/0.66 (define @t233 () (lambda @t37 @t232)) % 0.36/0.66 (define @t234 () (_ @t10 @t39)) % 0.36/0.66 (define @t235 () (lambda @t13 (forall @t42 (or @t182 @t234)))) % 0.36/0.66 (define @t236 () (lambda @t205 @t200)) % 0.36/0.66 (define @t237 () (_ @t236 @t5)) % 0.36/0.66 (define @t238 () (or @t228 @t237)) % 0.36/0.66 (define @t239 () (lambda @t37 @t238)) % 0.36/0.66 (define @t240 () (@list @t15 @t5)) % 0.36/0.66 (define @t241 () (lambda @t240 (or @t228 @t16))) % 0.36/0.66 (define @t242 () (not @t234)) % 0.36/0.66 (define @t243 () (not (forall @t42 (or @t199 @t242)))) % 0.36/0.66 (define @t244 () (_ (lambda @t88 @t243) tptp.q)) % 0.36/0.66 (define @t245 () (_ @t17 tptp.p)) % 0.36/0.66 (define @t246 () (lambda @t37 @t194)) % 0.36/0.66 (define @t247 () (_ @t246 @t18)) % 0.36/0.66 (define @t248 () (or @t222 @t247)) % 0.36/0.66 (define @t249 () (not @t248)) % 0.36/0.66 (define @t250 () (not @t247)) % 0.36/0.66 (define @t251 () (or @t250 @t221)) % 0.36/0.66 (define @t252 () (not @t251)) % 0.36/0.66 (define @t253 () (or @t252 @t249)) % 0.36/0.66 (define @t254 () (not @t253)) % 0.36/0.66 (define @t255 () (lambda @t224 @t254)) % 0.36/0.66 (define @t256 () (_ @t10 @t18)) % 0.36/0.66 (define @t257 () (or @t222 @t256)) % 0.36/0.66 (define @t258 () (not @t256)) % 0.36/0.66 (define @t259 () (or @t258 @t221)) % 0.36/0.66 (define @t260 () (not @t259)) % 0.36/0.66 (define @t261 () (not (or @t260 (not @t257)))) % 0.36/0.66 (define @t262 () (lambda @t22 @t261)) % 0.36/0.66 (define @t263 () (or @t185 @t237)) % 0.36/0.66 (define @t264 () (lambda @t37 @t263)) % 0.36/0.66 (define @t265 () (lambda @t37 @t185)) % 0.36/0.66 (define @t266 () (_ @t265 @t5)) % 0.36/0.66 (define @t267 () (or @t266 @t16)) % 0.36/0.66 (define @t268 () (lambda @t240 @t267)) % 0.36/0.66 (define @t269 () (_ @t235 tptp.p)) % 0.36/0.66 (define @t270 () (forall @t42 (or @t182 @t242))) % 0.36/0.66 (define @t271 () (lambda @t37 @t270)) % 0.36/0.66 (define @t272 () (_ @t271 @t5)) % 0.36/0.66 (define @t273 () (not @t272)) % 0.36/0.66 (define @t274 () (lambda @t37 @t273)) % 0.36/0.66 (define @t275 () (not @t40)) % 0.36/0.66 (define @t276 () (or @t182 @t275)) % 0.36/0.66 (define @t277 () (lambda @t37 @t12)) % 0.36/0.66 (define @t278 () (_ @t277 @t39)) % 0.36/0.66 (define @t279 () (or @t182 @t278)) % 0.36/0.66 (define @t280 () (forall @t42 @t279)) % 0.36/0.66 (define @t281 () (lambda @t37 @t280)) % 0.36/0.66 (define @t282 () (lambda @t205 @t257)) % 0.36/0.66 (define @t283 () (_ @t282 @t18)) % 0.36/0.66 (define @t284 () (not @t283)) % 0.36/0.66 (define @t285 () (or @t260 @t284)) % 0.36/0.66 (define @t286 () (not @t285)) % 0.36/0.66 (define @t287 () (lambda @t205 @t286)) % 0.36/0.66 (define @t288 () (@var "BOUND_VARIABLE_7581" (-> $$unsorted Bool))) % 0.36/0.66 (define @t289 () (not (_ @t288 @t18))) % 0.36/0.66 (define @t290 () (@list @t288 @t18)) % 0.36/0.66 (define @t291 () (@var "BOUND_VARIABLE_7601" (-> $$unsorted Bool))) % 0.36/0.66 (define @t292 () (_ @t291 @t18)) % 0.36/0.66 (define @t293 () (lambda (@list @t291 @t18) (or @t222 @t292))) % 0.36/0.66 (define @t294 () (lambda @t22 @t259)) % 0.36/0.66 (define @t295 () (@list @t15)) % 0.36/0.66 (define @t296 () (lambda @t205 @t259)) % 0.36/0.66 (define @t297 () (_ @t296 @t18)) % 0.36/0.66 (define @t298 () (not @t297)) % 0.36/0.66 (define @t299 () (or @t298 @t289)) % 0.36/0.66 (define @t300 () (not @t299)) % 0.36/0.66 (define @t301 () (lambda @t290 @t300)) % 0.36/0.66 (define @t302 () (not (or @t258 @t222))) % 0.36/0.66 (define @t303 () (lambda @t22 @t302)) % 0.36/0.66 (define @t304 () (lambda @t224 @t259)) % 0.36/0.66 (define @t305 () (or @t12 @t16)) % 0.36/0.66 (define @t306 () (lambda @t37 @t305)) % 0.36/0.66 (define @t307 () (lambda @t240 @t305)) % 0.36/0.66 (define @t308 () (_ @t277 @t5)) % 0.36/0.66 (define @t309 () (or @t308 @t16)) % 0.36/0.66 (define @t310 () (lambda @t240 @t309)) % 0.36/0.66 (define @t311 () (not @t16)) % 0.36/0.66 (define @t312 () (or @t12 @t311)) % 0.36/0.66 (define @t313 () (lambda @t37 @t312)) % 0.36/0.66 (define @t314 () (_ @t313 @t5)) % 0.36/0.66 (define @t315 () (not @t314)) % 0.36/0.66 (define @t316 () (lambda @t37 @t315)) % 0.36/0.66 (define @t317 () (lambda @t37 @t311)) % 0.36/0.66 (define @t318 () (_ @t317 @t5)) % 0.36/0.66 (define @t319 () (or @t12 @t318)) % 0.36/0.66 (define @t320 () (lambda @t37 @t319)) % 0.36/0.66 (define @t321 () (forall @t159 @t156)) % 0.36/0.66 (define @t322 () (not @t321)) % 0.36/0.66 (define @t323 () (@quantifiers_skolemize @t321 1)) % 0.36/0.66 (define @t324 () (tptp.p @t323)) % 0.36/0.66 (define @t325 () (@quantifiers_skolemize @t321 0)) % 0.36/0.66 (define @t326 () (tptp.rel_s5 @t325 @t323)) % 0.36/0.66 (define @t327 () (not @t326)) % 0.36/0.66 (define @t328 () (not (tptp.rel_s5 @t325 @t39))) % 0.36/0.66 (define @t329 () (forall @t42 (or @t328 @t151))) % 0.36/0.66 (define @t330 () (not @t329)) % 0.36/0.66 (define @t331 () (forall @t42 (or @t328 @t109 @t154))) % 0.36/0.66 (define @t332 () (not @t331)) % 0.36/0.66 (define @t333 () (or @t332 @t330 @t327 @t324)) % 0.36/0.66 (define @t334 () (not @t333)) % 0.36/0.66 (define @t335 () (@list true)) % 0.36/0.66 (define @t336 () (@list @t333)) % 0.36/0.66 (define @t337 () (forall @t102 (or (not (tptp.rel_s5 @t323 @t99)) @t100))) % 0.36/0.66 (define @t338 () (@quantifiers_skolemize @t337 0)) % 0.36/0.66 (define @t339 () (tptp.q @t338)) % 0.36/0.66 (define @t340 () (not @t339)) % 0.36/0.66 (define @t341 () (tptp.rel_s5 @t325 @t338)) % 0.36/0.66 (define @t342 () (not @t341)) % 0.36/0.66 (define @t343 () (or @t342 @t340)) % 0.36/0.66 (define @t344 () (not @t337)) % 0.36/0.66 (define @t345 () (or @t327 @t324 @t344)) % 0.36/0.66 (define @t346 () (tptp.rel_s5 @t323 @t338)) % 0.36/0.66 (define @t347 () (not @t346)) % 0.36/0.66 (define @t348 () (or @t347 @t340)) % 0.36/0.66 (define @t349 () (not @t348)) % 0.36/0.66 (define @t350 () (@list @t348)) % 0.36/0.66 (define @t351 () (or @t327 @t347 @t341)) % 0.36/0.66 (define @t352 () (not @t351)) % 0.36/0.66 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.36/0.66 (assume @p2 (_ tptp.mreflexive tptp.rel_s5)) % 0.36/0.66 (assume @p3 (_ tptp.mtransitive tptp.rel_s5)) % 0.36/0.66 (assume @p4 (_ tptp.msymmetric tptp.rel_s5)) % 0.36/0.66 (assume @p5 @t2) % 0.36/0.66 (assume @p6 true) % 0.36/0.66 (step @p7 (= tptp.meq_ind @t6) :rule refl :args (@t6)) % 0.36/0.66 (step @p8 (= tptp.meq_prop @t9) :rule refl :args (@t9)) % 0.36/0.66 (step @p9 (= tptp.mnot @t14) :rule refl :args (@t14)) % 0.36/0.66 (step @p10 (= tptp.mor @t17) :rule refl :args (@t17)) % 0.36/0.66 (step @p11 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.36/0.66 (step @p12 (= tptp.mimplies @t24) :rule refl :args (@t24)) % 0.36/0.66 (step @p13 (= tptp.mimplied @t25) :rule refl :args (@t25)) % 0.36/0.66 (step @p14 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 0.36/0.66 (step @p15 (= tptp.mxor @t27) :rule refl :args (@t27)) % 0.36/0.66 (step @p16 (= tptp.mforall_ind @t30) :rule refl :args (@t30)) % 0.36/0.66 (step @p17 (= tptp.mforall_prop @t34) :rule refl :args (@t34)) % 0.36/0.66 (step @p18 (= tptp.mexists_ind @t35) :rule refl :args (@t35)) % 0.36/0.66 (step @p19 (= tptp.mexists_prop @t36) :rule refl :args (@t36)) % 0.36/0.66 (step @p20 (= tptp.mtrue @t38) :rule refl :args (@t38)) % 0.36/0.66 (step @p21 (= tptp.mbox @t43) :rule refl :args (@t43)) % 0.36/0.66 (step @p22 (= tptp.mdia @t44) :rule refl :args (@t44)) % 0.36/0.66 (step @p23 (= tptp.mreflexive @t49) :rule refl :args (@t49)) % 0.36/0.66 (step @p24 (= tptp.msymmetric @t56) :rule refl :args (@t56)) % 0.36/0.66 (step @p25 (= tptp.mserial @t58) :rule refl :args (@t58)) % 0.36/0.66 (step @p26 (= tptp.mtransitive @t65) :rule refl :args (@t65)) % 0.36/0.66 (step @p27 (= tptp.meuclidean @t67) :rule refl :args (@t67)) % 0.36/0.66 (step @p28 (= tptp.mpartially_functional @t69) :rule refl :args (@t69)) % 0.36/0.66 (step @p29 (= tptp.mfunctional @t71) :rule refl :args (@t71)) % 0.36/0.66 (step @p30 (= tptp.mweakly_dense @t74) :rule refl :args (@t74)) % 0.36/0.66 (step @p31 (= tptp.mweakly_connected @t75) :rule refl :args (@t75)) % 0.36/0.66 (step @p32 (= tptp.mweakly_directed @t76) :rule refl 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reordering :premises (@p499) :args ((or @t331 @t333))) % 0.36/0.66 (step @p501 :rule chain_m_resolution :premises (@p500 @p482) :args (@t331 @t335 @t336)) % 0.36/0.66 (assume-push @p564 @t331) % 0.36/0.66 (step @p503 :rule instantiate :premises (@p564) :args ((@list @t323))) % 0.36/0.66 (step-pop @p565 :rule scope :premises (@p503)) % 0.36/0.66 (step @p504 :rule process_scope :premises (@p565) :args (@t345)) % 0.36/0.66 (step @p506 :rule implies_elim :premises (@p504)) % 0.36/0.66 (step @p507 :rule chain_m_resolution :premises (@p506 @p501) :args (@t345 @t146 (@list @t331))) % 0.36/0.66 (step @p508 :rule cnf_or_neg :args (@t333 3)) % 0.36/0.66 (step @p509 :rule chain_m_resolution :premises (@p508 @p482) :args ((not @t324) @t335 @t336)) % 0.36/0.66 (step @p510 :rule bool-double-not-elim :args (@t326)) % 0.36/0.66 (step @p511 :rule nary_cong :premises (@p484 @p510) :args ((or @t333 (not @t327)))) % 0.36/0.66 (step @p512 :rule cnf_or_neg :args (@t333 2)) % 0.36/0.66 (step @p513 :rule eq_resolve :premises (@p512 @p511)) % 0.36/0.66 (step @p514 :rule reordering :premises (@p513) :args ((or @t326 @t333))) % 0.36/0.66 (step @p515 :rule chain_m_resolution :premises (@p514 @p482) :args (@t326 @t335 @t336)) % 0.36/0.66 (step @p516 :rule cnf_or_pos :args (@t345)) % 0.36/0.66 (step @p517 :rule reordering :premises (@p516) :args ((or @t327 @t324 @t344 (not @t345)))) % 0.36/0.66 (step @p518 :rule chain_m_resolution :premises (@p517 @p515 @p509 @p507) :args (@t344 (@list false true false) (@list @t326 @t324 @t345))) % 0.36/0.66 (step @p519 :rule refl :args (@t349)) % 0.36/0.66 (step @p520 :rule bool-double-not-elim :args (@t337)) % 0.36/0.66 (step @p521 :rule nary_cong :premises (@p520 @p519) :args ((or (not @t344) @t349))) % 0.36/0.66 (assume-push @p566 @t344) % 0.36/0.66 (step @p523 :rule skolemize :premises (@p566)) % 0.36/0.66 (step-pop @p567 :rule scope :premises (@p523)) % 0.36/0.66 (step @p524 :rule process_scope :premises (@p567) :args (@t349)) % 0.36/0.66 (step @p526 :rule implies_elim :premises (@p524)) % 0.36/0.66 (step @p527 :rule eq_resolve :premises (@p526 @p521)) % 0.36/0.66 (step @p528 :rule chain_m_resolution :premises (@p527 @p518) :args (@t349 @t335 (@list @t337))) % 0.36/0.66 (step @p529 :rule bool-double-not-elim :args (@t339)) % 0.36/0.66 (step @p530 :rule refl :args (@t348)) % 0.36/0.66 (step @p531 :rule nary_cong :premises (@p530 @p529) :args ((or @t348 (not @t340)))) % 0.36/0.66 (step @p532 :rule cnf_or_neg :args (@t348 1)) % 0.36/0.66 (step @p533 :rule eq_resolve :premises (@p532 @p531)) % 0.36/0.66 (step @p534 :rule reordering :premises (@p533) :args ((or @t339 @t348))) % 0.36/0.66 (step @p535 :rule chain_m_resolution :premises (@p534 @p528) :args (@t339 @t335 @t350)) % 0.36/0.66 (step @p536 :rule cnf_or_pos :args (@t343)) % 0.36/0.66 (step @p537 :rule reordering :premises (@p536) :args ((or @t340 @t342 (not @t343)))) % 0.36/0.66 (step @p538 :rule chain_m_resolution :premises (@p537 @p535 @p495) :args (@t342 (@list false false) (@list @t339 @t343))) % 0.36/0.66 (step @p539 :rule bool-double-not-elim :args (@t346)) % 0.36/0.66 (step @p540 :rule nary_cong :premises (@p530 @p539) :args ((or @t348 (not @t347)))) % 0.36/0.66 (step @p541 :rule cnf_or_neg :args (@t348 0)) % 0.36/0.66 (step @p542 :rule eq_resolve :premises (@p541 @p540)) % 0.36/0.66 (step @p543 :rule reordering :premises (@p542) :args ((or @t346 @t348))) % 0.36/0.66 (step @p544 :rule chain_m_resolution :premises (@p543 @p528) :args (@t346 @t335 @t350)) % 0.36/0.66 (step @p545 :rule cnf_or_pos :args (@t351)) % 0.36/0.66 (step @p546 :rule reordering :premises (@p545) :args ((or @t327 @t347 @t341 @t352))) % 0.36/0.66 (step @p547 :rule chain_m_resolution :premises (@p546 @p515 @p544 @p538) :args (@t352 (@list false false true) (@list @t326 @t346 @t341))) % 0.36/0.66 (assume-push @p568 @t91) % 0.36/0.66 (step @p549 :rule instantiate :premises (@p72) :args ((@list @t325 @t323 @t338))) % 0.36/0.66 (step-pop @p569 :rule scope :premises (@p549)) % 0.36/0.66 (step @p550 :rule process_scope :premises (@p569) :args (@t351)) % 0.36/0.66 (step @p552 :rule implies_elim :premises (@p550)) % 0.36/0.66 (step @p553 false :rule chain_m_resolution :premises (@p552 @p547 @p72) :args (false (@list true false) (@list @t351 @t91))) % 0.36/0.66 ) % 0.36/0.66 % SZS output end Proof % 0.36/0.66 % cvc5 exiting %------------------------------------------------------------------------------