%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL724^1 : 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 : n003.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 11:23:42 AM UTC 2026 % Result : Theorem 0.19s 0.55s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL724^1 : TPTP v9.3.1. Bugfixed v5.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.12/0.36 % Computer : n003.cluster.edu % 0.12/0.36 % Model : x86_64 x86_64 % 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.36 % Memory : 8046.5625MB % 0.12/0.36 % OS : Linux 6.8.0-71-generic % 0.12/0.36 % CPULimit : 300 % 0.12/0.36 % WCLimit : 300 % 0.12/0.36 % DateTime : Sat Sep 5 16:27:06 UTC 2026 % 0.12/0.36 % CPUTime : % 0.12/0.44 %----Proving TH0 % 0.19/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.19/0.55 % SZS status Theorem % 0.19/0.55 % SZS output start Proof % 0.19/0.55 ( % 0.19/0.55 (declare-sort $$unsorted 0) % 0.19/0.55 (declare-sort tptp.mu 0) % 0.19/0.55 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 0.19/0.55 (declare-const tptp.phi (-> $$unsorted Bool)) % 0.19/0.55 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.19/0.55 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.19/0.55 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.19/0.55 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.19/0.55 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.19/0.55 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.19/0.55 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.19/0.55 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.19/0.55 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.19/0.55 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.19/0.55 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.19/0.55 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.19/0.55 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.19/0.55 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.19/0.55 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.19/0.55 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.19/0.55 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.19/0.55 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.19/0.55 (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)))))))) % 0.19/0.55 (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)))))))) % 0.19/0.55 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.19/0.55 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.19/0.55 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.19/0.55 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.19/0.55 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.19/0.55 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.19/0.55 (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))))))))))))) % 0.19/0.55 (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)))))) % 0.19/0.55 (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))))))) % 0.19/0.55 (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)))))) % 0.19/0.55 (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))))))) % 0.19/0.55 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s4 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.19/0.55 (define tptp.mdia_s4 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 (_ tptp.mnot _let_2))) _let_1))))) % 0.19/0.55 (define @t1 () (_ tptp.mbox_s4 tptp.phi)) % 0.19/0.55 (define @t2 () (_ tptp.mimplies @t1)) % 0.19/0.55 (define @t3 () (and (_ tptp.mvalid (_ @t2 tptp.phi)) (_ tptp.mvalid (_ @t2 (_ tptp.mbox_s4 @t1))))) % 0.19/0.55 (define @t4 () (not @t3)) % 0.19/0.55 (define @t5 () (@var "Y" tptp.mu)) % 0.19/0.55 (define @t6 () (@var "X" tptp.mu)) % 0.19/0.55 (define @t7 () (@var "W" $$unsorted)) % 0.19/0.55 (define @t8 () (lambda (@list @t6 @t5 @t7) (= @t6 @t5))) % 0.19/0.55 (define @t9 () (@var "Y" (-> $$unsorted Bool))) % 0.19/0.55 (define @t10 () (@var "X" (-> $$unsorted Bool))) % 0.19/0.55 (define @t11 () (lambda (@list @t10 @t9 @t7) (= (_ @t10 @t7) (_ @t9 @t7)))) % 0.19/0.55 (define @t12 () (@var "Phi" (-> $$unsorted Bool))) % 0.19/0.55 (define @t13 () (_ @t12 @t7)) % 0.19/0.55 (define @t14 () (not @t13)) % 0.19/0.55 (define @t15 () (@list @t12 @t7)) % 0.19/0.55 (define @t16 () (lambda @t15 @t14)) % 0.19/0.55 (define @t17 () (@var "Psi" (-> $$unsorted Bool))) % 0.19/0.55 (define @t18 () (_ @t17 @t7)) % 0.19/0.55 (define @t19 () (lambda (@list @t12 @t17 @t7) (or @t13 @t18))) % 0.19/0.55 (define @t20 () (@var "__flatten_var_0" $$unsorted)) % 0.19/0.55 (define @t21 () (_ tptp.mnot @t17)) % 0.19/0.55 (define @t22 () (_ tptp.mnot @t12)) % 0.19/0.55 (define @t23 () (_ tptp.mor @t22)) % 0.19/0.55 (define @t24 () (@list @t12 @t17 @t20)) % 0.19/0.55 (define @t25 () (lambda @t24 (_ (_ tptp.mnot (_ @t23 @t21)) @t20))) % 0.19/0.55 (define @t26 () (lambda @t24 (_ (_ @t23 @t17) @t20))) % 0.19/0.55 (define @t27 () (lambda @t24 (_ (_ (_ tptp.mor @t21) @t12) @t20))) % 0.19/0.55 (define @t28 () (lambda @t24 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t12) @t17)) (_ (_ tptp.mimplies @t17) @t12)) @t20))) % 0.19/0.55 (define @t29 () (lambda @t24 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t12) @t17)) @t20))) % 0.19/0.55 (define @t30 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.19/0.55 (define @t31 () (_ @t30 @t6)) % 0.19/0.55 (define @t32 () (lambda (@list @t30 @t7) (forall (@list @t6) (_ @t31 @t7)))) % 0.19/0.55 (define @t33 () (@var "P" (-> $$unsorted Bool))) % 0.19/0.55 (define @t34 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.19/0.55 (define @t35 () (_ @t34 @t33)) % 0.19/0.55 (define @t36 () (lambda (@list @t34 @t7) (forall (@list @t33) (_ @t35 @t7)))) % 0.19/0.55 (define @t37 () (lambda (@list @t30 @t20) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t6 @t20) (_ (_ tptp.mnot @t31) @t20)))) @t20))) % 0.19/0.55 (define @t38 () (lambda (@list @t34 @t20) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t33 @t20) (_ (_ tptp.mnot @t35) @t20)))) @t20))) % 0.19/0.55 (define @t39 () (@list @t7)) % 0.19/0.55 (define @t40 () (lambda @t39 true)) % 0.19/0.55 (define @t41 () (@var "V" $$unsorted)) % 0.19/0.55 (define @t42 () (_ @t12 @t41)) % 0.19/0.55 (define @t43 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.19/0.55 (define @t44 () (@list @t41)) % 0.19/0.55 (define @t45 () (lambda (@list @t43 @t12 @t7) (forall @t44 (or (not (_ (_ @t43 @t7) @t41)) @t42)))) % 0.19/0.55 (define @t46 () (lambda (@list @t43 @t12 @t20) (_ (_ tptp.mnot (_ (_ tptp.mbox @t43) @t22)) @t20))) % 0.19/0.55 (define @t47 () (@var "S" $$unsorted)) % 0.19/0.55 (define @t48 () (_ @t43 @t47)) % 0.19/0.55 (define @t49 () (_ @t48 @t47)) % 0.19/0.55 (define @t50 () (@list @t47)) % 0.19/0.55 (define @t51 () (forall @t50 @t49)) % 0.19/0.55 (define @t52 () (@list @t43)) % 0.19/0.55 (define @t53 () (lambda @t52 @t51)) % 0.19/0.55 (define @t54 () (@var "T" $$unsorted)) % 0.19/0.55 (define @t55 () (_ @t43 @t54)) % 0.19/0.55 (define @t56 () (_ @t48 @t54)) % 0.19/0.55 (define @t57 () (lambda @t52 (forall (@list @t47 @t54) (=> @t56 (_ @t55 @t47))))) % 0.19/0.55 (define @t58 () (@list @t54)) % 0.19/0.55 (define @t59 () (lambda @t52 (forall @t50 (exists @t58 @t56)))) % 0.19/0.55 (define @t60 () (@var "U" $$unsorted)) % 0.19/0.55 (define @t61 () (_ @t48 @t60)) % 0.19/0.55 (define @t62 () (_ @t55 @t60)) % 0.19/0.55 (define @t63 () (and @t56 @t62)) % 0.19/0.55 (define @t64 () (@list @t47 @t54 @t60)) % 0.19/0.55 (define @t65 () (forall @t64 (=> @t63 @t61))) % 0.19/0.55 (define @t66 () (lambda @t52 @t65)) % 0.19/0.55 (define @t67 () (and @t56 @t61)) % 0.19/0.55 (define @t68 () (lambda @t52 (forall @t64 (=> @t67 @t62)))) % 0.19/0.55 (define @t69 () (= @t54 @t60)) % 0.19/0.55 (define @t70 () (lambda @t52 (forall @t64 (=> @t67 @t69)))) % 0.19/0.55 (define @t71 () (@list @t60)) % 0.19/0.55 (define @t72 () (lambda @t52 (forall @t50 (exists @t58 (and @t56 (forall @t71 (=> @t61 @t69))))))) % 0.19/0.55 (define @t73 () (_ @t43 @t60)) % 0.19/0.55 (define @t74 () (_ @t73 @t54)) % 0.19/0.55 (define @t75 () (lambda @t52 (forall @t64 (=> @t56 (exists @t71 (and @t61 @t74)))))) % 0.19/0.55 (define @t76 () (lambda @t52 (forall @t64 (=> @t67 (or @t62 @t69 @t74))))) % 0.19/0.55 (define @t77 () (lambda @t52 (forall @t64 (=> @t67 (exists @t44 (and (_ @t55 @t41) (_ @t73 @t41))))))) % 0.19/0.55 (define @t78 () (forall @t39 @t13)) % 0.19/0.55 (define @t79 () (@list @t12)) % 0.19/0.55 (define @t80 () (lambda @t79 @t78)) % 0.19/0.55 (define @t81 () (lambda @t79 (forall @t39 @t14))) % 0.19/0.55 (define @t82 () (lambda @t79 (exists @t39 @t13))) % 0.19/0.55 (define @t83 () (lambda @t79 (exists @t39 @t14))) % 0.19/0.55 (define @t84 () (_ (_ tptp.rel_s4 @t7) @t41)) % 0.19/0.55 (define @t85 () (not @t84)) % 0.19/0.55 (define @t86 () (or @t85 @t42)) % 0.19/0.55 (define @t87 () (forall @t44 @t86)) % 0.19/0.55 (define @t88 () (lambda @t15 @t87)) % 0.19/0.55 (define @t89 () (lambda (@list @t12 @t20) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t22)) @t20))) % 0.19/0.55 (define @t90 () (tptp.phi @t41)) % 0.19/0.55 (define @t91 () (tptp.phi @t7)) % 0.19/0.55 (define @t92 () (tptp.rel_s4 @t7 @t41)) % 0.19/0.55 (define @t93 () (not @t92)) % 0.19/0.55 (define @t94 () (forall @t44 (or @t93 @t90))) % 0.19/0.55 (define @t95 () (not @t94)) % 0.19/0.55 (define @t96 () (forall @t39 (or @t95 @t91))) % 0.19/0.55 (define @t97 () (@quantifiers_skolemize @t96 0)) % 0.19/0.55 (define @t98 () (forall @t44 (or (not (tptp.rel_s4 @t97 @t41)) @t90))) % 0.19/0.55 (define @t99 () (tptp.phi @t97)) % 0.19/0.55 (define @t100 () (not @t98)) % 0.19/0.55 (define @t101 () (or @t100 @t99)) % 0.19/0.55 (define @t102 () (@list @t97)) % 0.19/0.55 (define @t103 () (tptp.rel_s4 @t97 @t97)) % 0.19/0.55 (define @t104 () (not @t103)) % 0.19/0.55 (define @t105 () (or @t104 @t99)) % 0.19/0.55 (define @t106 () (_ @t43 @t47 @t47)) % 0.19/0.55 (define @t107 () (not @t101)) % 0.19/0.55 (define @t108 () (not @t96)) % 0.19/0.55 (define @t109 () (@list false)) % 0.19/0.55 (define @t110 () (@var "BOUND_VARIABLE_8493" $$unsorted)) % 0.19/0.55 (define @t111 () (tptp.phi @t110)) % 0.19/0.55 (define @t112 () (@var "BOUND_VARIABLE_8491" $$unsorted)) % 0.19/0.55 (define @t113 () (not (tptp.rel_s4 @t112 @t110))) % 0.19/0.55 (define @t114 () (not (tptp.rel_s4 @t7 @t112))) % 0.19/0.55 (define @t115 () (or @t95 @t114 @t113 @t111)) % 0.19/0.55 (define @t116 () (or @t114 @t113 @t111)) % 0.19/0.55 (define @t117 () (or @t95 @t116)) % 0.19/0.55 (define @t118 () (@list @t7 @t112 @t110)) % 0.19/0.55 (define @t119 () (forall @t118 @t117)) % 0.19/0.55 (define @t120 () (@list @t112 @t110)) % 0.19/0.55 (define @t121 () (forall @t120 @t117)) % 0.19/0.55 (define @t122 () (forall @t120 @t116)) % 0.19/0.55 (define @t123 () (@var "BOUND_VARIABLE_8466" $$unsorted)) % 0.19/0.55 (define @t124 () (or @t95 @t122)) % 0.19/0.55 (define @t125 () (tptp.phi @t123)) % 0.19/0.55 (define @t126 () (not (tptp.rel_s4 @t41 @t123))) % 0.19/0.55 (define @t127 () (or @t93 @t126 @t125)) % 0.19/0.55 (define @t128 () (@list @t41 @t123)) % 0.19/0.55 (define @t129 () (forall @t128 @t127)) % 0.19/0.55 (define @t130 () (or @t95 @t129)) % 0.19/0.55 (define @t131 () (not (tptp.rel_s4 @t20 @t41))) % 0.19/0.55 (define @t132 () (forall @t128 (or @t131 @t126 @t125))) % 0.19/0.55 (define @t133 () (forall @t44 (or @t131 @t90))) % 0.19/0.55 (define @t134 () (not @t133)) % 0.19/0.55 (define @t135 () (@list @t20)) % 0.19/0.55 (define @t136 () (lambda @t135 (or @t134 @t132))) % 0.19/0.55 (define @t137 () (_ @t136 @t7)) % 0.19/0.55 (define @t138 () (forall @t39 @t137)) % 0.19/0.55 (define @t139 () (_ @t12 @t7)) % 0.19/0.55 (define @t140 () (lambda @t79 (forall @t39 @t139))) % 0.19/0.55 (define @t141 () (lambda @t39 @t129)) % 0.19/0.55 (define @t142 () (_ @t141 @t20)) % 0.19/0.55 (define @t143 () (or @t134 @t142)) % 0.19/0.55 (define @t144 () (lambda @t135 @t143)) % 0.19/0.55 (define @t145 () (_ @t17 @t20)) % 0.19/0.55 (define @t146 () (@list @t17 @t20)) % 0.19/0.55 (define @t147 () (lambda @t146 (or @t134 @t145))) % 0.19/0.55 (define @t148 () (or @t126 @t125)) % 0.19/0.55 (define @t149 () (or @t93 @t148)) % 0.19/0.55 (define @t150 () (forall @t128 @t149)) % 0.19/0.55 (define @t151 () (@list @t123)) % 0.19/0.55 (define @t152 () (forall @t151 @t149)) % 0.19/0.55 (define @t153 () (forall @t151 @t148)) % 0.19/0.55 (define @t154 () (@var "BOUND_VARIABLE_8450" $$unsorted)) % 0.19/0.55 (define @t155 () (@list @t154)) % 0.19/0.55 (define @t156 () (or @t93 @t153)) % 0.19/0.55 (define @t157 () (tptp.phi @t154)) % 0.19/0.55 (define @t158 () (@list @t154)) % 0.19/0.55 (define @t159 () (forall @t158 (or (not (tptp.rel_s4 @t41 @t154)) @t157))) % 0.19/0.55 (define @t160 () (lambda @t39 @t94)) % 0.19/0.55 (define @t161 () (or @t93 (_ @t160 @t41))) % 0.19/0.55 (define @t162 () (forall @t44 @t161)) % 0.19/0.55 (define @t163 () (lambda @t39 @t162)) % 0.19/0.55 (define @t164 () (_ @t12 @t41)) % 0.19/0.55 (define @t165 () (lambda @t15 (forall @t44 (or @t93 @t164)))) % 0.19/0.55 (define @t166 () (_ @t165 tptp.phi)) % 0.19/0.55 (define @t167 () (_ @t160 @t20)) % 0.19/0.55 (define @t168 () (not @t167)) % 0.19/0.55 (define @t169 () (or @t168 @t145)) % 0.19/0.55 (define @t170 () (lambda @t146 @t169)) % 0.19/0.55 (define @t171 () (or (not (_ @t12 @t20)) @t145)) % 0.19/0.55 (define @t172 () (lambda @t24 @t171)) % 0.19/0.55 (define @t173 () (_ tptp.phi @t7)) % 0.19/0.55 (define @t174 () (or @t95 @t173)) % 0.19/0.55 (define @t175 () (lambda @t135 (or @t134 (_ tptp.phi @t20)))) % 0.19/0.55 (define @t176 () (_ @t175 @t7)) % 0.19/0.55 (define @t177 () (forall @t39 @t176)) % 0.19/0.55 (define @t178 () (_ @t172 @t166)) % 0.19/0.55 (define @t179 () (and (_ @t140 (_ @t178 tptp.phi)) (_ @t140 (_ @t178 (_ @t165 @t166))))) % 0.19/0.55 (define @t180 () (or @t14 @t18)) % 0.19/0.55 (define @t181 () (lambda @t39 @t180)) % 0.19/0.55 (define @t182 () (@list @t17 @t7)) % 0.19/0.55 (define @t183 () (lambda @t39 @t14)) % 0.19/0.55 (define @t184 () (_ @t183 @t7)) % 0.19/0.55 (define @t185 () (or @t184 @t18)) % 0.19/0.55 (define @t186 () (lambda @t182 @t185)) % 0.19/0.55 (define @t187 () (forall @t118 @t115)) % 0.19/0.55 (define @t188 () (not @t187)) % 0.19/0.55 (define @t189 () (@quantifiers_skolemize @t187 2)) % 0.19/0.55 (define @t190 () (tptp.phi @t189)) % 0.19/0.55 (define @t191 () (@quantifiers_skolemize @t187 1)) % 0.19/0.55 (define @t192 () (tptp.rel_s4 @t191 @t189)) % 0.19/0.55 (define @t193 () (not @t192)) % 0.19/0.55 (define @t194 () (@quantifiers_skolemize @t187 0)) % 0.19/0.55 (define @t195 () (tptp.rel_s4 @t194 @t191)) % 0.19/0.55 (define @t196 () (not @t195)) % 0.19/0.55 (define @t197 () (forall @t44 (or (not (tptp.rel_s4 @t194 @t41)) @t90))) % 0.19/0.55 (define @t198 () (not @t197)) % 0.19/0.55 (define @t199 () (or @t198 @t196 @t193 @t190)) % 0.19/0.55 (define @t200 () (not @t199)) % 0.19/0.55 (define @t201 () (@list true)) % 0.19/0.55 (define @t202 () (@list @t199)) % 0.19/0.55 (define @t203 () (tptp.rel_s4 @t194 @t189)) % 0.19/0.55 (define @t204 () (not @t203)) % 0.19/0.55 (define @t205 () (or @t204 @t190)) % 0.19/0.55 (define @t206 () (_ @t43 @t47 @t60)) % 0.19/0.55 (define @t207 () (_ @t43 @t54 @t60)) % 0.19/0.55 (define @t208 () (_ @t43 @t47 @t54)) % 0.19/0.55 (define @t209 () (not @t62)) % 0.19/0.55 (define @t210 () (not @t56)) % 0.19/0.55 (define @t211 () (or @t210 @t209 @t61)) % 0.19/0.55 (define @t212 () (or @t196 @t193 @t203)) % 0.19/0.55 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.19/0.55 (assume @p2 (_ tptp.mreflexive tptp.rel_s4)) % 0.19/0.55 (assume @p3 (_ tptp.mtransitive tptp.rel_s4)) % 0.19/0.55 (assume @p4 @t4) % 0.19/0.55 (assume @p5 true) % 0.19/0.55 (step @p6 (= tptp.meq_ind @t8) :rule refl :args (@t8)) % 0.19/0.55 (step @p7 (= tptp.meq_prop @t11) :rule refl :args (@t11)) % 0.19/0.55 (step @p8 (= tptp.mnot @t16) :rule refl :args (@t16)) % 0.19/0.55 (step @p9 (= tptp.mor @t19) :rule refl :args (@t19)) % 0.19/0.55 (step @p10 (= tptp.mand @t25) :rule refl :args (@t25)) % 0.19/0.55 (step @p11 (= tptp.mimplies @t26) :rule refl :args (@t26)) % 0.19/0.55 (step @p12 (= tptp.mimplied @t27) :rule refl :args (@t27)) % 0.19/0.55 (step @p13 (= tptp.mequiv @t28) :rule refl :args (@t28)) % 0.19/0.55 (step @p14 (= tptp.mxor @t29) :rule refl :args (@t29)) % 0.19/0.55 (step @p15 (= tptp.mforall_ind @t32) :rule refl :args (@t32)) % 0.19/0.55 (step @p16 (= tptp.mforall_prop @t36) :rule refl :args (@t36)) % 0.19/0.55 (step @p17 (= tptp.mexists_ind @t37) :rule refl :args (@t37)) % 0.19/0.55 (step @p18 (= tptp.mexists_prop @t38) :rule refl :args (@t38)) % 0.19/0.55 (step @p19 (= tptp.mtrue @t40) :rule refl :args (@t40)) % 0.19/0.55 (step @p20 (= tptp.mbox @t45) :rule refl :args (@t45)) % 0.19/0.55 (step @p21 (= tptp.mdia @t46) :rule refl :args (@t46)) % 0.19/0.55 (step @p22 (= tptp.mreflexive @t53) :rule refl :args (@t53)) % 0.19/0.55 (step @p23 (= tptp.msymmetric @t57) :rule refl :args (@t57)) % 0.19/0.55 (step @p24 (= tptp.mserial @t59) :rule refl :args (@t59)) % 0.19/0.55 (step @p25 (= tptp.mtransitive @t66) :rule refl :args (@t66)) % 0.19/0.55 (step @p26 (= tptp.meuclidean @t68) :rule refl :args (@t68)) % 0.19/0.55 (step @p27 (= tptp.mpartially_functional @t70) :rule refl :args (@t70)) % 0.19/0.55 (step @p28 (= tptp.mfunctional @t72) :rule refl :args (@t72)) % 0.19/0.55 (step @p29 (= tptp.mweakly_dense @t75) :rule refl :args (@t75)) % 0.19/0.55 (step @p30 (= tptp.mweakly_connected @t76) :rule refl :args (@t76)) % 0.19/0.55 (step @p31 (= tptp.mweakly_directed @t77) :rule refl :args (@t77)) % 0.19/0.55 (step @p32 (= tptp.mvalid @t80) :rule refl :args (@t80)) % 0.19/0.55 (step @p33 (= tptp.minvalid @t81) :rule refl :args (@t81)) % 0.19/0.55 (step @p34 (= tptp.msatisfiable @t82) :rule refl :args (@t82)) % 0.19/0.55 (step @p35 (= tptp.mcountersatisfiable @t83) :rule refl :args (@t83)) % 0.19/0.55 (step @p36 (= tptp.mbox_s4 @t88) :rule refl :args (@t88)) % 0.19/0.55 (step @p37 (= tptp.mdia_s4 @t89) :rule refl :args (@t89)) % 0.19/0.55 (step @p38 :rule bool-double-not-elim :args (@t98)) % 0.19/0.55 (step @p39 :rule refl :args (@t101)) % 0.19/0.55 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t101 (not @t100)))) % 0.19/0.55 (step @p41 :rule cnf_or_neg :args (@t101 0)) % 0.19/0.55 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 0.19/0.55 (step @p43 :rule reordering :premises (@p42) :args ((or @t98 @t101))) % 0.19/0.55 (step @p44 :rule cnf_or_neg :args (@t101 1)) % 0.19/0.55 (assume-push @p303 @t98) % 0.19/0.55 (step @p46 :rule instantiate :premises (@p303) :args (@t102)) % 0.19/0.55 (step-pop @p304 :rule scope :premises (@p46)) % 0.19/0.55 (step @p47 :rule process_scope :premises (@p304) :args (@t105)) % 0.19/0.55 (step @p49 :rule implies_elim :premises (@p47)) % 0.19/0.55 (step @p50 :rule beta-reduce :args ((= (_ (lambda @t52 (forall @t50 @t106)) tptp.rel_s4) (forall @t50 (tptp.rel_s4 @t47 @t47))))) % 0.19/0.55 (step @p51 :rule refl :args (tptp.rel_s4)) % 0.19/0.55 (step @p52 :rule refl :args (@t106)) % 0.19/0.55 (step @p53 :rule refl :args (@t49)) % 0.19/0.55 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t49 @t106))) % 0.19/0.55 (step @p55 :rule symm :premises (@p54)) % 0.19/0.55 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.19/0.55 (step @p57 :rule cong :premises (@p56) :args (@t51)) % 0.19/0.55 (step @p58 :rule cong :premises (@p57) :args (@t53)) % 0.19/0.55 (step @p59 :rule trans :premises (@p22 @p58)) % 0.19/0.55 (step @p60 :rule ho_cong :premises (@p59 @p51)) % 0.19/0.55 (step @p61 :rule trans :premises (@p60 @p50)) % 0.19/0.55 (step @p62 :rule eq_resolve :premises (@p2 @p61)) % 0.19/0.55 (step @p63 :rule instantiate :premises (@p62) :args (@t102)) % 0.19/0.55 (step @p64 :rule cnf_or_pos :args (@t105)) % 0.19/0.55 (step @p65 :rule reordering :premises (@p64) :args ((or @t99 @t104 (not @t105)))) % 0.19/0.55 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p49 @p44 @p43) :args (@t101 (@list false false true false) (@list @t103 @t105 @t99 @t98))) % 0.19/0.55 (step @p67 :rule refl :args (@t107)) % 0.19/0.55 (step @p68 :rule bool-double-not-elim :args (@t96)) % 0.19/0.55 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or (not @t108) @t107))) % 0.19/0.55 (assume-push @p305 @t108) % 0.19/0.55 (step @p71 :rule skolemize :premises (@p305)) % 0.19/0.55 (step-pop @p306 :rule scope :premises (@p71)) % 0.19/0.55 (step @p72 :rule process_scope :premises (@p306) :args (@t107)) % 0.19/0.55 (step @p74 :rule implies_elim :premises (@p72)) % 0.19/0.55 (step @p75 :rule eq_resolve :premises (@p74 @p69)) % 0.19/0.55 (step @p76 :rule chain_m_resolution :premises (@p75 @p66) :args (@t96 @t109 (@list @t101))) % 0.19/0.55 (step @p77 :rule aci_norm :args ((= @t117 @t115))) % 0.19/0.55 (step @p78 :rule cong :premises (@p77) :args (@t119)) % 0.19/0.55 (step @p79 :rule quant-merge-prenex :args ((= (forall @t39 @t121) @t119))) % 0.19/0.55 (step @p80 :rule alpha_equiv :args (@t122 (@list @t112 @t110) (@list @t41 @t123))) % 0.19/0.55 (step @p81 :rule refl :args (@t95)) % 0.19/0.55 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t124)) % 0.19/0.55 (step @p83 :rule quant-miniscope-or :args ((= @t121 @t124))) % 0.19/0.55 (step @p84 :rule trans :premises (@p83 @p82)) % 0.19/0.55 (step @p85 :rule symm :premises (@p84)) % 0.19/0.55 (step @p86 :rule cong :premises (@p85) :args ((forall @t39 @t130))) % 0.19/0.55 (step @p87 :rule trans :premises (@p86 @p79)) % 0.19/0.55 (step @p88 :rule trans :premises (@p87 @p78)) % 0.19/0.55 (step @p89 :rule beta-reduce :args ((= @t137 @t130))) % 0.19/0.55 (step @p90 :rule cong :premises (@p89) :args (@t138)) % 0.19/0.55 (step @p91 :rule trans :premises (@p90 @p88)) % 0.19/0.55 (step @p92 :rule beta-reduce :args ((= (_ @t140 @t136) @t138))) % 0.19/0.55 (step @p93 :rule trans :premises (@p92 @p91)) % 0.19/0.55 (step @p94 :rule beta-reduce :args ((= @t142 @t132))) % 0.19/0.55 (step @p95 :rule refl :args (@t134)) % 0.19/0.55 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t143)) % 0.19/0.55 (step @p97 :rule cong :premises (@p96) :args (@t144)) % 0.19/0.55 (step @p98 :rule beta-reduce :args ((= (_ @t147 @t141) @t144))) % 0.19/0.55 (step @p99 :rule trans :premises (@p98 @p97)) % 0.19/0.55 (step @p100 :rule aci_norm :args ((= @t149 @t127))) % 0.19/0.55 (step @p101 :rule cong :premises (@p100) :args (@t150)) % 0.19/0.55 (step @p102 :rule quant-merge-prenex :args ((= (forall @t44 @t152) @t150))) % 0.19/0.55 (step @p103 :rule alpha_equiv :args (@t153 (@list @t123) @t155)) % 0.19/0.55 (step @p104 :rule refl :args (@t93)) % 0.19/0.55 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t156)) % 0.19/0.55 (step @p106 :rule quant-miniscope-or :args ((= @t152 @t156))) % 0.19/0.55 (step @p107 :rule trans :premises (@p106 @p105)) % 0.19/0.55 (step @p108 :rule symm :premises (@p107)) % 0.19/0.55 (step @p109 :rule cong :premises (@p108) :args ((forall @t44 (or @t93 @t159)))) % 0.19/0.55 (step @p110 :rule trans :premises (@p109 @p102)) % 0.19/0.55 (step @p111 :rule trans :premises (@p110 @p101)) % 0.19/0.55 (step @p112 :rule beta-reduce :args ((= (_ (lambda @t39 (forall @t158 (or (not (tptp.rel_s4 @t7 @t154)) @t157))) @t41) @t159))) % 0.19/0.55 (step @p113 :rule refl :args (@t41)) % 0.19/0.55 (step @p114 :rule alpha_equiv :args (@t94 (@list @t41) @t155)) % 0.19/0.55 (step @p115 :rule cong :premises (@p114) :args (@t160)) % 0.19/0.55 (step @p116 :rule ho_cong :premises (@p115 @p113)) % 0.19/0.55 (step @p117 :rule trans :premises (@p116 @p112)) % 0.19/0.55 (step @p118 :rule refl :args (@t93)) % 0.19/0.55 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t161)) % 0.19/0.55 (step @p120 :rule cong :premises (@p119) :args (@t162)) % 0.19/0.55 (step @p121 :rule trans :premises (@p120 @p111)) % 0.19/0.55 (step @p122 :rule cong :premises (@p121) :args (@t163)) % 0.19/0.55 (step @p123 :rule beta-reduce :args ((= (_ @t165 @t160) @t163))) % 0.19/0.55 (step @p124 :rule trans :premises (@p123 @p122)) % 0.19/0.55 (step @p125 :rule beta-reduce :args ((= @t166 @t160))) % 0.19/0.55 (step @p126 :rule refl :args (@t165)) % 0.19/0.55 (step @p127 :rule ho_cong :premises (@p126 @p125)) % 0.19/0.55 (step @p128 :rule trans :premises (@p127 @p124)) % 0.19/0.55 (step @p129 :rule refl :args (@t145)) % 0.19/0.55 (step @p130 :rule beta-reduce :args ((= @t167 @t133))) % 0.19/0.55 (step @p131 :rule cong :premises (@p130) :args (@t168)) % 0.19/0.55 (step @p132 :rule nary_cong :premises (@p131 @p129) :args (@t169)) % 0.19/0.55 (step @p133 :rule cong :premises (@p132) :args (@t170)) % 0.19/0.55 (step @p134 :rule beta-reduce :args ((= (_ @t172 @t160) @t170))) % 0.19/0.55 (step @p135 :rule trans :premises (@p134 @p133)) % 0.19/0.55 (step @p136 :rule refl :args (@t172)) % 0.19/0.55 (step @p137 :rule ho_cong :premises (@p136 @p125)) % 0.19/0.55 (step @p138 :rule trans :premises (@p137 @p135)) % 0.19/0.55 (step @p139 :rule ho_cong :premises (@p138 @p128)) % 0.19/0.55 (step @p140 :rule trans :premises (@p139 @p99)) % 0.19/0.55 (step @p141 :rule refl :args (@t140)) % 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(step @p235 :rule chain_m_resolution :premises (@p234 @p225) :args (@t200 @t201 (@list @t187))) % 0.19/0.55 (step @p236 :rule cnf_or_neg :args (@t199 3)) % 0.19/0.55 (step @p237 :rule chain_m_resolution :premises (@p236 @p235) :args ((not @t190) @t201 @t202)) % 0.19/0.55 (step @p238 :rule bool-double-not-elim :args (@t197)) % 0.19/0.55 (step @p239 :rule refl :args (@t199)) % 0.19/0.55 (step @p240 :rule nary_cong :premises (@p239 @p238) :args ((or @t199 (not @t198)))) % 0.19/0.55 (step @p241 :rule cnf_or_neg :args (@t199 0)) % 0.19/0.55 (step @p242 :rule eq_resolve :premises (@p241 @p240)) % 0.19/0.55 (step @p243 :rule reordering :premises (@p242) :args ((or @t197 @t199))) % 0.19/0.55 (step @p244 :rule chain_m_resolution :premises (@p243 @p235) :args (@t197 @t201 @t202)) % 0.19/0.55 (assume-push @p309 @t197) % 0.19/0.55 (step @p246 :rule instantiate :premises (@p309) :args ((@list @t189))) % 0.19/0.55 (step-pop @p310 :rule scope :premises (@p246)) % 0.19/0.55 (step @p247 :rule process_scope :premises (@p310) :args (@t205)) % 0.19/0.55 (step @p249 :rule implies_elim :premises (@p247)) % 0.19/0.55 (step @p250 :rule chain_m_resolution :premises (@p249 @p244) :args (@t205 @t109 (@list @t197))) % 0.19/0.55 (step @p251 :rule beta-reduce :args ((= (_ (lambda @t52 (forall @t64 (or (not @t208) (not @t207) @t206))) tptp.rel_s4) (forall @t64 (or (not (tptp.rel_s4 @t47 @t54)) (not (tptp.rel_s4 @t54 @t60)) (tptp.rel_s4 @t47 @t60)))))) % 0.19/0.55 (step @p252 :rule refl :args (@t206)) % 0.19/0.55 (step @p253 :rule refl :args (@t61)) % 0.19/0.55 (step @p254 :rule cong :premises (@p253 @p252) :args ((= @t61 @t206))) % 0.19/0.55 (step @p255 :rule symm :premises (@p254)) % 0.19/0.55 (step @p256 :rule eq_resolve :premises (@p253 @p255)) % 0.19/0.55 (step @p257 :rule refl :args (@t207)) % 0.19/0.55 (step @p258 :rule refl :args (@t62)) % 0.19/0.55 (step @p259 :rule cong :premises (@p258 @p257) :args ((= @t62 @t207))) % 0.19/0.55 (step @p260 :rule symm :premises (@p259)) % 0.19/0.55 (step @p261 :rule eq_resolve :premises (@p258 @p260)) % 0.19/0.55 (step @p262 :rule cong :premises (@p261) :args (@t209)) % 0.19/0.55 (step @p263 :rule refl :args (@t208)) % 0.19/0.55 (step @p264 :rule refl :args (@t56)) % 0.19/0.55 (step @p265 :rule cong :premises (@p264 @p263) :args ((= @t56 @t208))) % 0.19/0.55 (step @p266 :rule symm :premises (@p265)) % 0.19/0.55 (step @p267 :rule eq_resolve :premises (@p264 @p266)) % 0.19/0.55 (step @p268 :rule cong :premises (@p267) :args (@t210)) % 0.19/0.55 (step @p269 :rule nary_cong :premises (@p268 @p262 @p256) :args (@t211)) % 0.19/0.55 (step @p270 :rule cong :premises (@p269) :args ((forall @t64 @t211))) % 0.19/0.55 (step @p271 :rule aci_norm :args ((= (or (or @t210 @t209) @t61) @t211))) % 0.19/0.55 (step @p272 :rule bool-and-de-morgan :args (@t56 @t62 true)) % 0.19/0.55 (step @p273 :rule nary_cong :premises (@p272 @p253) :args ((or (not @t63) @t61))) % 0.19/0.55 (step @p274 :rule trans :premises (@p273 @p271)) % 0.19/0.55 (step @p275 :rule bool-impl-elim :args (@t63 @t61)) % 0.19/0.55 (step @p276 :rule trans :premises (@p275 @p274)) % 0.19/0.55 (step @p277 :rule cong :premises (@p276) :args (@t65)) % 0.19/0.55 (step @p278 :rule trans :premises (@p277 @p270)) % 0.19/0.55 (step @p279 :rule cong :premises (@p278) :args (@t66)) % 0.19/0.55 (step @p280 :rule trans :premises (@p25 @p279)) % 0.19/0.55 (step @p281 :rule ho_cong :premises (@p280 @p51)) % 0.19/0.55 (step @p282 :rule trans :premises (@p281 @p251)) % 0.19/0.55 (step @p283 :rule eq_resolve :premises (@p3 @p282)) % 0.19/0.55 (step @p284 :rule instantiate :premises (@p283) :args ((@list @t194 @t191 @t189))) % 0.19/0.55 (step @p285 :rule bool-double-not-elim :args (@t192)) % 0.19/0.55 (step @p286 :rule nary_cong :premises (@p239 @p285) :args ((or @t199 (not @t193)))) % 0.19/0.55 (step @p287 :rule cnf_or_neg :args (@t199 2)) % 0.19/0.55 (step @p288 :rule eq_resolve :premises (@p287 @p286)) % 0.19/0.55 (step @p289 :rule reordering :premises (@p288) :args ((or @t192 @t199))) % 0.19/0.55 (step @p290 :rule chain_m_resolution :premises (@p289 @p235) :args (@t192 @t201 @t202)) % 0.19/0.55 (step @p291 :rule bool-double-not-elim :args (@t195)) % 0.19/0.55 (step @p292 :rule nary_cong :premises (@p239 @p291) :args ((or @t199 (not @t196)))) % 0.19/0.55 (step @p293 :rule cnf_or_neg :args (@t199 1)) % 0.19/0.55 (step @p294 :rule eq_resolve :premises (@p293 @p292)) % 0.19/0.55 (step @p295 :rule reordering :premises (@p294) :args ((or @t195 @t199))) % 0.19/0.55 (step @p296 :rule chain_m_resolution :premises (@p295 @p235) :args (@t195 @t201 @t202)) % 0.19/0.55 (step @p297 :rule cnf_or_pos :args (@t212)) % 0.19/0.55 (step @p298 :rule reordering :premises (@p297) :args ((or @t196 @t193 @t203 (not @t212)))) % 0.19/0.55 (step @p299 :rule chain_m_resolution :premises (@p298 @p296 @p290 @p284) :args (@t203 (@list false false false) (@list @t195 @t192 @t212))) % 0.19/0.55 (step @p300 :rule cnf_or_pos :args (@t205)) % 0.19/0.55 (step @p301 :rule reordering :premises (@p300) :args ((or @t190 @t204 (not @t205)))) % 0.19/0.55 (step @p302 false :rule chain_m_resolution :premises (@p301 @p299 @p250 @p237) :args (false (@list false false true) (@list @t203 @t205 @t190))) % 0.19/0.55 ) % 0.19/0.55 % SZS output end Proof % 0.19/0.55 % cvc5 exiting %------------------------------------------------------------------------------