%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS276^7 : TPTP v9.2.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:29:13 AM UTC 2026 % Result : Theorem 0.39s 0.62s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS276^7 : TPTP v9.2.1. Released v5.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 05:38:47 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.39/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.62 % SZS status Theorem % 0.39/0.62 % SZS output start Proof % 0.39/0.62 ( % 0.39/0.62 (declare-sort tptp.mu 0) % 0.39/0.62 (declare-sort $$unsorted 0) % 0.39/0.62 (declare-const tptp.exists_in_world (-> tptp.mu $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.cs tptp.mu) % 0.39/0.62 (declare-const tptp.teach (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.math tptp.mu) % 0.39/0.62 (declare-const tptp.psych tptp.mu) % 0.39/0.62 (declare-const tptp.sue tptp.mu) % 0.39/0.62 (declare-const tptp.mary tptp.mu) % 0.39/0.62 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.john tptp.mu) % 0.39/0.62 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.39/0.62 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.39/0.62 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.39/0.62 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.39/0.62 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.39/0.62 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.39/0.62 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.39/0.62 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.39/0.62 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.39/0.62 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.39/0.62 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.39/0.62 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.39/0.62 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.exists_in_world _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.39/0.62 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.39/0.62 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.39/0.62 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.39/0.62 (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)))))))) % 0.39/0.62 (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)))))))) % 0.39/0.62 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.39/0.62 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.39/0.62 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.39/0.62 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.39/0.62 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.39/0.62 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.39/0.62 (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))))))))))))) % 0.39/0.62 (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)))))) % 0.39/0.62 (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)))))) % 0.39/0.62 (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))))))) % 0.39/0.62 (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))))))) % 0.39/0.62 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s4 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 0.39/0.62 (define tptp.mdia_s4 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 (_ tptp.mnot _let_2))) _let_1))))) % 0.39/0.62 (define @t1 () (@var "V" $$unsorted)) % 0.39/0.62 (define @t2 () (@var "X" tptp.mu)) % 0.39/0.62 (define @t3 () (_ tptp.exists_in_world @t2)) % 0.39/0.62 (define @t4 () (_ @t3 @t1)) % 0.39/0.62 (define @t5 () (@list @t2)) % 0.39/0.62 (define @t6 () (@list @t1)) % 0.39/0.62 (define @t7 () (@var "W" $$unsorted)) % 0.39/0.62 (define @t8 () (_ @t3 @t7)) % 0.39/0.62 (define @t9 () (_ (_ tptp.teach tptp.sue) tptp.psych)) % 0.39/0.62 (define @t10 () (_ (_ tptp.teach tptp.mary) tptp.psych)) % 0.39/0.62 (define @t11 () (@var "__flatten_var_0" $$unsorted)) % 0.39/0.62 (define @t12 () (_ (_ (_ tptp.teach @t2) tptp.cs) @t11)) % 0.39/0.62 (define @t13 () (@list @t2 @t11)) % 0.39/0.62 (define @t14 () (lambda @t13 @t12)) % 0.39/0.62 (define @t15 () (_ tptp.mexists_ind @t14)) % 0.39/0.62 (define @t16 () (_ (_ tptp.teach tptp.john) tptp.math)) % 0.39/0.62 (define @t17 () (not (_ tptp.mvalid (_ tptp.mbox_s4 @t15)))) % 0.39/0.62 (define @t18 () (@var "Y" (-> $$unsorted Bool))) % 0.39/0.62 (define @t19 () (@var "X" (-> $$unsorted Bool))) % 0.39/0.62 (define @t20 () (lambda (@list @t19 @t18 @t7) (= (_ @t19 @t7) (_ @t18 @t7)))) % 0.39/0.62 (define @t21 () (@var "Phi" (-> $$unsorted Bool))) % 0.39/0.62 (define @t22 () (_ @t21 @t7)) % 0.39/0.62 (define @t23 () (not @t22)) % 0.39/0.62 (define @t24 () (@list @t21 @t7)) % 0.39/0.62 (define @t25 () (lambda @t24 @t23)) % 0.39/0.62 (define @t26 () (@var "Psi" (-> $$unsorted Bool))) % 0.39/0.62 (define @t27 () (_ @t26 @t7)) % 0.39/0.62 (define @t28 () (lambda (@list @t21 @t26 @t7) (or @t22 @t27))) % 0.39/0.62 (define @t29 () (_ @t21 @t1)) % 0.39/0.62 (define @t30 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.39/0.62 (define @t31 () (lambda (@list @t30 @t21 @t7) (forall @t6 (or (not (_ (_ @t30 @t7) @t1)) @t29)))) % 0.39/0.62 (define @t32 () (@var "P" (-> $$unsorted Bool))) % 0.39/0.62 (define @t33 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.39/0.62 (define @t34 () (_ @t33 @t32)) % 0.39/0.62 (define @t35 () (lambda (@list @t33 @t7) (forall (@list @t32) (_ @t34 @t7)))) % 0.39/0.62 (define @t36 () (@list @t7)) % 0.39/0.62 (define @t37 () (lambda @t36 true)) % 0.39/0.62 (define @t38 () (_ tptp.mnot @t26)) % 0.39/0.62 (define @t39 () (_ tptp.mnot @t21)) % 0.39/0.62 (define @t40 () (_ tptp.mor @t39)) % 0.39/0.62 (define @t41 () (@list @t21 @t26 @t11)) % 0.39/0.62 (define @t42 () (lambda @t41 (_ (_ tptp.mnot (_ @t40 @t38)) @t11))) % 0.39/0.62 (define @t43 () (lambda @t41 (_ (_ @t40 @t26) @t11))) % 0.39/0.62 (define @t44 () (lambda @t41 (_ (_ (_ tptp.mor @t38) @t21) @t11))) % 0.39/0.62 (define @t45 () (lambda @t41 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t21) @t26)) (_ (_ tptp.mimplies @t26) @t21)) @t11))) % 0.39/0.62 (define @t46 () (lambda @t41 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t21) @t26)) @t11))) % 0.39/0.62 (define @t47 () (lambda (@list @t30 @t21 @t11) (_ (_ tptp.mnot (_ (_ tptp.mbox @t30) @t39)) @t11))) % 0.39/0.62 (define @t48 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.39/0.62 (define @t49 () (_ @t48 @t2)) % 0.39/0.62 (define @t50 () (_ @t49 @t7)) % 0.39/0.62 (define @t51 () (forall @t5 (=> @t8 @t50))) % 0.39/0.62 (define @t52 () (@list @t48 @t7)) % 0.39/0.62 (define @t53 () (lambda @t52 @t51)) % 0.39/0.62 (define @t54 () (lambda @t13 (_ (_ tptp.mnot @t49) @t11))) % 0.39/0.62 (define @t55 () (@list @t48 @t11)) % 0.39/0.62 (define @t56 () (lambda @t55 (_ (_ tptp.mnot (_ tptp.mforall_ind @t54)) @t11))) % 0.39/0.62 (define @t57 () (lambda (@list @t33 @t11) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t32 @t11) (_ (_ tptp.mnot @t34) @t11)))) @t11))) % 0.39/0.62 (define @t58 () (@var "S" $$unsorted)) % 0.39/0.62 (define @t59 () (_ @t30 @t58)) % 0.39/0.62 (define @t60 () (@list @t58)) % 0.39/0.62 (define @t61 () (@list @t30)) % 0.39/0.62 (define @t62 () (lambda @t61 (forall @t60 (_ @t59 @t58)))) % 0.39/0.62 (define @t63 () (@var "T" $$unsorted)) % 0.39/0.62 (define @t64 () (_ @t30 @t63)) % 0.39/0.62 (define @t65 () (_ @t59 @t63)) % 0.39/0.62 (define @t66 () (lambda @t61 (forall (@list @t58 @t63) (=> @t65 (_ @t64 @t58))))) % 0.39/0.62 (define @t67 () (@list @t63)) % 0.39/0.62 (define @t68 () (lambda @t61 (forall @t60 (exists @t67 @t65)))) % 0.39/0.62 (define @t69 () (@var "U" $$unsorted)) % 0.39/0.62 (define @t70 () (_ @t59 @t69)) % 0.39/0.62 (define @t71 () (_ @t64 @t69)) % 0.39/0.62 (define @t72 () (@list @t58 @t63 @t69)) % 0.39/0.62 (define @t73 () (lambda @t61 (forall @t72 (=> (and @t65 @t71) @t70)))) % 0.39/0.62 (define @t74 () (and @t65 @t70)) % 0.39/0.62 (define @t75 () (lambda @t61 (forall @t72 (=> @t74 @t71)))) % 0.39/0.62 (define @t76 () (= @t63 @t69)) % 0.39/0.62 (define @t77 () (lambda @t61 (forall @t72 (=> @t74 @t76)))) % 0.39/0.62 (define @t78 () (@list @t69)) % 0.39/0.62 (define @t79 () (lambda @t61 (forall @t60 (exists @t67 (and @t65 (forall @t78 (=> @t70 @t76))))))) % 0.39/0.62 (define @t80 () (_ @t30 @t69)) % 0.39/0.62 (define @t81 () (_ @t80 @t63)) % 0.39/0.62 (define @t82 () (lambda @t61 (forall @t72 (=> @t65 (exists @t78 (and @t70 @t81)))))) % 0.39/0.62 (define @t83 () (lambda @t61 (forall @t72 (=> @t74 (or @t71 @t76 @t81))))) % 0.39/0.62 (define @t84 () (lambda @t61 (forall @t72 (=> @t74 (exists @t6 (and (_ @t64 @t1) (_ @t80 @t1))))))) % 0.39/0.62 (define @t85 () (forall @t36 @t22)) % 0.39/0.62 (define @t86 () (@list @t21)) % 0.39/0.62 (define @t87 () (lambda @t86 @t85)) % 0.39/0.62 (define @t88 () (lambda @t86 (exists @t36 @t22))) % 0.39/0.62 (define @t89 () (lambda @t86 (exists @t36 @t23))) % 0.39/0.62 (define @t90 () (lambda @t86 (forall @t36 @t23))) % 0.39/0.62 (define @t91 () (_ (_ tptp.rel_s4 @t7) @t1)) % 0.39/0.62 (define @t92 () (not @t91)) % 0.39/0.62 (define @t93 () (or @t92 @t29)) % 0.39/0.62 (define @t94 () (forall @t6 @t93)) % 0.39/0.62 (define @t95 () (lambda @t24 @t94)) % 0.39/0.62 (define @t96 () (lambda (@list @t21 @t11) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t39)) @t11))) % 0.39/0.62 (define @t97 () (forall @t5 (or (not (tptp.exists_in_world @t2 @t1)) (not (tptp.teach @t2 tptp.cs @t1))))) % 0.39/0.62 (define @t98 () (not @t97)) % 0.39/0.62 (define @t99 () (tptp.rel_s4 @t7 @t1)) % 0.39/0.62 (define @t100 () (not @t99)) % 0.39/0.62 (define @t101 () (or @t100 @t98)) % 0.39/0.62 (define @t102 () (@list @t7 @t1)) % 0.39/0.62 (define @t103 () (forall @t102 @t101)) % 0.39/0.62 (define @t104 () (forall @t6 @t101)) % 0.39/0.62 (define @t105 () (lambda @t36 @t104)) % 0.39/0.62 (define @t106 () (_ @t105 @t7)) % 0.39/0.62 (define @t107 () (forall @t36 @t106)) % 0.39/0.62 (define @t108 () (_ @t21 @t7)) % 0.39/0.62 (define @t109 () (lambda @t86 (forall @t36 @t108))) % 0.39/0.62 (define @t110 () (tptp.teach @t2 tptp.cs @t11)) % 0.39/0.62 (define @t111 () (not (tptp.exists_in_world @t2 @t11))) % 0.39/0.62 (define @t112 () (forall @t5 (or @t111 (not @t110)))) % 0.39/0.62 (define @t113 () (not @t112)) % 0.39/0.62 (define @t114 () (@list @t11)) % 0.39/0.62 (define @t115 () (lambda @t114 @t113)) % 0.39/0.62 (define @t116 () (_ @t115 @t1)) % 0.39/0.62 (define @t117 () (or @t100 @t116)) % 0.39/0.62 (define @t118 () (forall @t6 @t117)) % 0.39/0.62 (define @t119 () (lambda @t36 @t118)) % 0.39/0.62 (define @t120 () (_ @t21 @t1)) % 0.39/0.62 (define @t121 () (lambda @t24 (forall @t6 (or @t100 @t120)))) % 0.39/0.62 (define @t122 () (not @t12)) % 0.39/0.62 (define @t123 () (or @t111 @t122)) % 0.39/0.62 (define @t124 () (_ @t14 @t2 @t11)) % 0.39/0.62 (define @t125 () (not @t124)) % 0.39/0.62 (define @t126 () (or @t111 @t125)) % 0.39/0.62 (define @t127 () (forall @t5 @t126)) % 0.39/0.62 (define @t128 () (not @t127)) % 0.39/0.62 (define @t129 () (lambda @t114 @t128)) % 0.39/0.62 (define @t130 () (not (forall @t5 (or @t111 (not (_ @t48 @t2 @t11)))))) % 0.39/0.62 (define @t131 () (_ (lambda @t55 @t130) @t14)) % 0.39/0.62 (define @t132 () (_ @t48 @t2 @t7)) % 0.39/0.62 (define @t133 () (tptp.exists_in_world @t2 @t7)) % 0.39/0.62 (define @t134 () (not @t133)) % 0.39/0.62 (define @t135 () (forall @t5 (or @t134 (not @t132)))) % 0.39/0.62 (define @t136 () (lambda @t36 @t135)) % 0.39/0.62 (define @t137 () (_ @t136 @t7)) % 0.39/0.62 (define @t138 () (not @t137)) % 0.39/0.62 (define @t139 () (lambda @t36 @t138)) % 0.39/0.62 (define @t140 () (not @t50)) % 0.39/0.62 (define @t141 () (or @t134 @t140)) % 0.39/0.62 (define @t142 () (not (_ @t49 @t11))) % 0.39/0.62 (define @t143 () (lambda @t13 @t142)) % 0.39/0.62 (define @t144 () (_ @t143 @t2 @t7)) % 0.39/0.62 (define @t145 () (or @t134 @t144)) % 0.39/0.62 (define @t146 () (forall @t5 @t145)) % 0.39/0.62 (define @t147 () (lambda @t36 @t146)) % 0.39/0.62 (define @t148 () (lambda @t52 (forall @t5 (or @t134 @t132)))) % 0.39/0.62 (define @t149 () (lambda @t36 @t140)) % 0.39/0.62 (define @t150 () (_ @t25 @t49)) % 0.39/0.62 (define @t151 () (not @t8)) % 0.39/0.62 (define @t152 () (or @t151 @t50)) % 0.39/0.62 (define @t153 () (@quantifiers_skolemize @t103 1)) % 0.39/0.62 (define @t154 () (@quantifiers_skolemize @t103 0)) % 0.39/0.62 (define @t155 () (tptp.rel_s4 @t154 @t153)) % 0.39/0.62 (define @t156 () (forall @t5 (or (not (tptp.exists_in_world @t2 @t153)) (not (tptp.teach @t2 tptp.cs @t153))))) % 0.39/0.62 (define @t157 () (not @t156)) % 0.39/0.62 (define @t158 () (not @t155)) % 0.39/0.62 (define @t159 () (or @t158 @t157)) % 0.39/0.62 (define @t160 () (@list true)) % 0.39/0.62 (define @t161 () (@list @t159)) % 0.39/0.62 (define @t162 () (and (tptp.teach tptp.john tptp.math @t153) @t157 (tptp.teach tptp.mary tptp.psych @t153) (tptp.teach tptp.sue tptp.psych @t153))) % 0.39/0.62 (define @t163 () (not @t162)) % 0.39/0.62 (define @t164 () (tptp.teach tptp.sue tptp.psych @t1)) % 0.39/0.62 (define @t165 () (tptp.teach tptp.mary tptp.psych @t1)) % 0.39/0.62 (define @t166 () (tptp.teach tptp.john tptp.math @t1)) % 0.39/0.62 (define @t167 () (or @t100 (and @t166 @t98 @t165 @t164))) % 0.39/0.62 (define @t168 () (forall @t6 @t167)) % 0.39/0.62 (define @t169 () (lambda @t36 @t168)) % 0.39/0.62 (define @t170 () (_ @t169 @t7)) % 0.39/0.62 (define @t171 () (forall @t36 @t170)) % 0.39/0.62 (define @t172 () (_ @t9 @t1)) % 0.39/0.62 (define @t173 () (_ @t10 @t1)) % 0.39/0.62 (define @t174 () (_ @t16 @t1)) % 0.39/0.62 (define @t175 () (and @t174 @t98 @t173 @t172)) % 0.39/0.62 (define @t176 () (or @t100 @t175)) % 0.39/0.62 (define @t177 () (not @t172)) % 0.39/0.62 (define @t178 () (not @t177)) % 0.39/0.62 (define @t179 () (not @t173)) % 0.39/0.62 (define @t180 () (not @t179)) % 0.39/0.62 (define @t181 () (not @t174)) % 0.39/0.62 (define @t182 () (not @t181)) % 0.39/0.62 (define @t183 () (and @t182 @t98 @t180 @t178)) % 0.39/0.62 (define @t184 () (not (or @t181 @t97 @t179 @t177))) % 0.39/0.62 (define @t185 () (or @t100 @t184)) % 0.39/0.62 (define @t186 () (not (_ @t9 @t11))) % 0.39/0.62 (define @t187 () (not (_ @t10 @t11))) % 0.39/0.62 (define @t188 () (not (_ @t16 @t11))) % 0.39/0.62 (define @t189 () (or @t188 @t112 @t187 @t186)) % 0.39/0.62 (define @t190 () (lambda @t114 (not @t189))) % 0.39/0.62 (define @t191 () (_ @t190 @t1)) % 0.39/0.62 (define @t192 () (or @t100 @t191)) % 0.39/0.62 (define @t193 () (forall @t6 @t192)) % 0.39/0.62 (define @t194 () (lambda @t36 @t193)) % 0.39/0.62 (define @t195 () (or @t112 @t187 @t186)) % 0.39/0.62 (define @t196 () (not @t195)) % 0.39/0.62 (define @t197 () (lambda @t114 @t196)) % 0.39/0.62 (define @t198 () (_ @t197 @t11)) % 0.39/0.62 (define @t199 () (not @t198)) % 0.39/0.62 (define @t200 () (or @t188 @t199)) % 0.39/0.62 (define @t201 () (not @t200)) % 0.39/0.62 (define @t202 () (lambda @t114 @t201)) % 0.39/0.62 (define @t203 () (not (_ @t26 @t11))) % 0.39/0.62 (define @t204 () (@list @t26 @t11)) % 0.39/0.62 (define @t205 () (lambda @t204 (not (or @t188 @t203)))) % 0.39/0.62 (define @t206 () (or @t187 @t186)) % 0.39/0.62 (define @t207 () (not @t206)) % 0.39/0.62 (define @t208 () (lambda @t114 @t207)) % 0.39/0.62 (define @t209 () (_ @t208 @t11)) % 0.39/0.62 (define @t210 () (not @t209)) % 0.39/0.62 (define @t211 () (or @t112 @t210)) % 0.39/0.62 (define @t212 () (not @t211)) % 0.39/0.62 (define @t213 () (lambda @t114 @t212)) % 0.39/0.62 (define @t214 () (lambda @t204 (not (or @t187 @t203)))) % 0.39/0.62 (define @t215 () (not (or (not (_ @t21 @t11)) @t203))) % 0.39/0.62 (define @t216 () (lambda @t41 @t215)) % 0.39/0.62 (define @t217 () (_ @t115 @t11)) % 0.39/0.62 (define @t218 () (not @t217)) % 0.39/0.62 (define @t219 () (or @t218 @t203)) % 0.39/0.62 (define @t220 () (not @t219)) % 0.39/0.62 (define @t221 () (lambda @t204 @t220)) % 0.39/0.62 (define @t222 () (not @t27)) % 0.39/0.62 (define @t223 () (or @t23 @t222)) % 0.39/0.62 (define @t224 () (lambda @t36 @t223)) % 0.39/0.62 (define @t225 () (_ @t224 @t7)) % 0.39/0.62 (define @t226 () (not @t225)) % 0.39/0.62 (define @t227 () (lambda @t36 @t226)) % 0.39/0.62 (define @t228 () (lambda @t36 @t222)) % 0.39/0.62 (define @t229 () (_ @t228 @t7)) % 0.39/0.62 (define @t230 () (or @t23 @t229)) % 0.39/0.62 (define @t231 () (lambda @t36 @t230)) % 0.39/0.62 (define @t232 () (@list @t26 @t7)) % 0.39/0.62 (define @t233 () (lambda @t36 @t23)) % 0.39/0.62 (define @t234 () (_ @t233 @t7)) % 0.39/0.62 (define @t235 () (or @t234 @t27)) % 0.39/0.62 (define @t236 () (lambda @t232 @t235)) % 0.39/0.62 (define @t237 () (or @t158 @t162)) % 0.39/0.62 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.39/0.62 (assume @p2 (forall @t6 (exists @t5 @t4))) % 0.39/0.62 (assume @p3 (_ tptp.mreflexive tptp.rel_s4)) % 0.39/0.62 (assume @p4 (_ tptp.mtransitive tptp.rel_s4)) % 0.39/0.62 (assume @p5 (forall (@list @t2 @t1 @t7) (=> (and @t4 (_ (_ tptp.rel_s4 @t1) @t7)) @t8))) % 0.39/0.62 (assume @p6 (forall @t6 (_ (_ tptp.exists_in_world tptp.sue) @t1))) % 0.39/0.62 (assume @p7 (forall @t6 (_ (_ tptp.exists_in_world tptp.psych) @t1))) % 0.39/0.62 (assume @p8 (forall @t6 (_ (_ tptp.exists_in_world tptp.mary) @t1))) % 0.39/0.62 (assume @p9 (forall @t6 (_ (_ tptp.exists_in_world tptp.math) @t1))) % 0.39/0.62 (assume @p10 (forall @t6 (_ (_ tptp.exists_in_world tptp.john) @t1))) % 0.39/0.62 (assume @p11 (forall @t6 (_ (_ tptp.exists_in_world tptp.cs) @t1))) % 0.39/0.62 (assume @p12 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.mand @t16) (_ (_ tptp.mand @t15) (_ (_ tptp.mand @t10) @t9)))))) % 0.39/0.62 (assume @p13 @t17) % 0.39/0.62 (assume @p14 true) % 0.39/0.62 (step @p15 (= tptp.meq_prop @t20) :rule refl :args (@t20)) % 0.39/0.62 (step @p16 (= tptp.mnot @t25) :rule refl :args (@t25)) % 0.39/0.62 (step @p17 (= tptp.mor @t28) :rule refl :args (@t28)) % 0.39/0.62 (step @p18 (= tptp.mbox @t31) :rule refl :args (@t31)) % 0.39/0.62 (step @p19 (= tptp.mforall_prop @t35) :rule refl :args (@t35)) % 0.39/0.62 (step @p20 (= tptp.mtrue @t37) :rule refl :args (@t37)) % 0.39/0.62 (step @p21 (= tptp.mand @t42) :rule refl :args (@t42)) % 0.39/0.62 (step @p22 (= tptp.mimplies @t43) :rule refl :args (@t43)) % 0.39/0.62 (step @p23 (= tptp.mimplied @t44) :rule refl :args (@t44)) % 0.39/0.62 (step @p24 (= tptp.mequiv @t45) :rule refl :args (@t45)) % 0.39/0.62 (step @p25 (= tptp.mxor @t46) :rule refl :args (@t46)) % 0.39/0.62 (step @p26 (= tptp.mdia @t47) :rule refl :args (@t47)) % 0.39/0.62 (step @p27 (= tptp.mforall_ind @t53) :rule refl :args (@t53)) % 0.39/0.62 (step @p28 (= tptp.mexists_ind @t56) :rule refl :args (@t56)) % 0.39/0.62 (step @p29 (= tptp.mexists_prop @t57) :rule refl :args (@t57)) % 0.39/0.62 (step @p30 (= tptp.mreflexive @t62) :rule refl :args (@t62)) % 0.39/0.62 (step @p31 (= tptp.msymmetric @t66) :rule refl :args (@t66)) % 0.39/0.62 (step @p32 (= tptp.mserial @t68) :rule refl :args (@t68)) % 0.39/0.62 (step @p33 (= tptp.mtransitive @t73) :rule refl :args (@t73)) % 0.39/0.62 (step @p34 (= tptp.meuclidean @t75) :rule refl :args (@t75)) % 0.39/0.62 (step @p35 (= tptp.mpartially_functional @t77) :rule refl :args (@t77)) % 0.39/0.62 (step @p36 (= tptp.mfunctional @t79) :rule refl :args (@t79)) % 0.39/0.62 (step @p37 (= tptp.mweakly_dense @t82) :rule refl :args (@t82)) % 0.39/0.62 (step @p38 (= tptp.mweakly_connected @t83) :rule refl :args (@t83)) % 0.39/0.62 (step @p39 (= tptp.mweakly_directed @t84) :rule refl :args (@t84)) % 0.39/0.62 (step @p40 (= tptp.mvalid @t87) :rule refl :args (@t87)) % 0.39/0.62 (step @p41 (= tptp.msatisfiable @t88) :rule refl :args (@t88)) % 0.39/0.62 (step @p42 (= tptp.mcountersatisfiable @t89) :rule refl :args (@t89)) % 0.39/0.62 (step @p43 (= tptp.minvalid @t90) :rule refl :args (@t90)) % 0.39/0.62 (step @p44 (= tptp.mbox_s4 @t95) :rule refl :args (@t95)) % 0.39/0.62 (step @p45 (= tptp.mdia_s4 @t96) :rule refl :args (@t96)) % 0.39/0.62 (step @p46 :rule quant-merge-prenex :args ((= (forall @t36 @t104) @t103))) % 0.39/0.62 (step @p47 :rule beta-reduce :args ((= @t106 @t104))) % 0.39/0.62 (step @p48 :rule cong :premises (@p47) :args (@t107)) % 0.39/0.62 (step @p49 :rule trans :premises (@p48 @p46)) % 0.39/0.62 (step @p50 :rule beta-reduce :args ((= (_ @t109 @t105) @t107))) % 0.39/0.62 (step @p51 :rule trans :premises (@p50 @p49)) % 0.39/0.62 (step @p52 :rule beta-reduce :args ((= @t116 @t98))) % 0.39/0.62 (step @p53 :rule refl :args (@t100)) % 0.39/0.62 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t117)) % 0.39/0.62 (step @p55 :rule cong :premises (@p54) :args (@t118)) % 0.39/0.62 (step @p56 :rule cong :premises (@p55) :args (@t119)) % 0.39/0.62 (step @p57 :rule beta-reduce :args ((= (_ @t121 @t115) @t119))) % 0.39/0.62 (step @p58 :rule trans :premises (@p57 @p56)) % 0.39/0.62 (step @p59 :rule refl :args (@t110)) % 0.39/0.62 (step @p60 :rule refl :args (@t12)) % 0.39/0.62 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t12 @t110))) % 0.39/0.62 (step @p62 :rule symm :premises (@p61)) % 0.39/0.62 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 0.39/0.62 (step @p64 :rule cong :premises (@p63) :args (@t122)) % 0.39/0.62 (step @p65 :rule refl :args (@t111)) % 0.39/0.62 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t123)) % 0.39/0.62 (step @p67 :rule cong :premises (@p66) :args ((forall @t5 @t123))) % 0.39/0.62 (step @p68 :rule beta-reduce :args ((= @t124 @t12))) % 0.39/0.62 (step @p69 :rule cong :premises (@p68) :args (@t125)) % 0.39/0.62 (step @p70 :rule refl :args (@t111)) % 0.39/0.62 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t126)) % 0.39/0.62 (step @p72 :rule cong :premises (@p71) :args (@t127)) % 0.39/0.62 (step @p73 :rule trans :premises (@p72 @p67)) % 0.39/0.62 (step @p74 :rule cong :premises (@p73) :args (@t128)) % 0.39/0.62 (step @p75 :rule cong :premises (@p74) :args (@t129)) % 0.39/0.62 (step @p76 :rule beta-reduce :args ((= @t131 @t129))) % 0.39/0.62 (step @p77 :rule trans :premises (@p76 @p75)) % 0.39/0.62 (step @p78 :rule refl :args (@t121)) % 0.39/0.62 (step @p79 :rule ho_cong :premises (@p78 @p77)) % 0.39/0.62 (step @p80 :rule trans :premises (@p79 @p58)) % 0.39/0.62 (step @p81 :rule refl :args (@t109)) % 0.39/0.62 (step @p82 :rule ho_cong :premises (@p81 @p80)) % 0.39/0.62 (step @p83 :rule trans :premises (@p82 @p51)) % 0.39/0.62 (step @p84 :rule cong :premises (@p83) :args ((not (_ @t109 (_ @t121 @t131))))) % 0.39/0.62 (step @p85 :rule refl :args (@t14)) % 0.39/0.62 (step @p86 :rule beta-reduce :args ((= (_ (lambda @t36 (not @t135)) @t11) @t130))) % 0.39/0.62 (step @p87 :rule refl :args (@t11)) % 0.39/0.62 (step @p88 :rule beta-reduce :args ((= @t137 @t135))) % 0.39/0.62 (step @p89 :rule cong :premises (@p88) :args (@t138)) % 0.39/0.62 (step @p90 :rule cong :premises (@p89) :args (@t139)) % 0.39/0.62 (step @p91 :rule beta-reduce :args ((= (_ @t25 @t136) @t139))) % 0.39/0.62 (step @p92 :rule trans :premises (@p91 @p90)) % 0.39/0.62 (step @p93 :rule refl :args (@t132)) % 0.39/0.62 (step @p94 :rule refl :args (@t50)) % 0.39/0.62 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t50 @t132))) % 0.39/0.62 (step @p96 :rule symm :premises (@p95)) % 0.39/0.62 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 0.39/0.62 (step @p98 :rule cong :premises (@p97) :args (@t140)) % 0.39/0.62 (step @p99 :rule refl :args (@t134)) % 0.39/0.62 (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t141)) % 0.39/0.62 (step @p101 :rule cong :premises (@p100) :args ((forall @t5 @t141))) % 0.39/0.62 (step @p102 :rule beta-reduce :args ((= @t144 @t140))) % 0.39/0.62 (step @p103 :rule refl :args (@t134)) % 0.39/0.62 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t145)) % 0.39/0.62 (step @p105 :rule cong :premises (@p104) :args (@t146)) % 0.39/0.62 (step @p106 :rule trans :premises (@p105 @p101)) % 0.39/0.62 (step @p107 :rule cong :premises (@p106) :args (@t147)) % 0.39/0.62 (step @p108 :rule beta-reduce :args ((= (_ @t148 @t143) @t147))) % 0.39/0.62 (step @p109 :rule trans :premises (@p108 @p107)) % 0.39/0.62 (step @p110 :rule beta-reduce :args ((= (_ @t149 @t11) @t142))) % 0.39/0.62 (step @p111 :rule beta-reduce :args ((= @t150 @t149))) % 0.39/0.62 (step @p112 :rule ho_cong :premises (@p111 @p87)) % 0.39/0.62 (step @p113 :rule trans :premises (@p112 @p110)) % 0.39/0.62 (step @p114 :rule cong :premises (@p113) :args ((lambda @t13 (_ @t150 @t11)))) % 0.39/0.62 (step @p115 :rule refl :args (@t148)) % 0.39/0.62 (step @p116 :rule ho_cong :premises (@p115 @p114)) % 0.39/0.62 (step @p117 :rule trans :premises (@p116 @p109)) % 0.39/0.62 (step @p118 :rule refl :args (@t25)) % 0.39/0.62 (step @p119 :rule ho_cong :premises (@p118 @p117)) % 0.39/0.62 (step @p120 :rule trans :premises (@p119 @p92)) % 0.39/0.62 (step @p121 :rule ho_cong 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@p314 :rule beta-reduce :args ((= (_ @t25 @t21) @t233))) % 0.39/0.62 (step @p315 :rule refl :args (@t28)) % 0.39/0.62 (step @p316 :rule ho_cong :premises (@p315 @p314)) % 0.39/0.62 (step @p317 :rule trans :premises (@p316 @p313)) % 0.39/0.62 (step @p318 :rule ho_cong :premises (@p317 @p307)) % 0.39/0.62 (step @p319 :rule trans :premises (@p318 @p306)) % 0.39/0.62 (step @p320 :rule ho_cong :premises (@p118 @p319)) % 0.39/0.62 (step @p321 :rule trans :premises (@p320 @p300)) % 0.39/0.62 (step @p322 :rule ho_cong :premises (@p321 @p87)) % 0.39/0.62 (step @p323 :rule trans :premises (@p322 @p295)) % 0.39/0.62 (step @p324 :rule refl :args (@t26)) % 0.39/0.62 (step @p325 :rule ho_cong :premises (@p16 @p324)) % 0.39/0.62 (step @p326 :rule refl :args (@t21)) % 0.39/0.62 (step @p327 :rule ho_cong :premises (@p16 @p326)) % 0.39/0.62 (step @p328 :rule ho_cong :premises (@p17 @p327)) % 0.39/0.62 (step @p329 :rule ho_cong :premises (@p328 @p325)) % 0.39/0.62 (step @p330 :rule ho_cong :premises (@p16 @p329)) % 0.39/0.62 (step @p331 :rule ho_cong :premises (@p330 @p87)) % 0.39/0.62 (step @p332 :rule trans :premises (@p331 @p323)) % 0.39/0.62 (step @p333 :rule cong :premises (@p332) :args (@t42)) % 0.39/0.62 (step @p334 :rule trans :premises (@p21 @p333)) % 0.39/0.62 (step @p335 :rule ho_cong :premises (@p334 @p294)) % 0.39/0.62 (step @p336 :rule ho_cong :premises (@p335 @p268)) % 0.39/0.62 (step @p337 :rule ho_cong :premises (@p334 @p146)) % 0.39/0.62 (step @p338 :rule ho_cong :premises (@p337 @p336)) % 0.39/0.62 (step @p339 :rule refl :args (@t16)) % 0.39/0.62 (step @p340 :rule ho_cong :premises (@p334 @p339)) % 0.39/0.62 (step @p341 :rule ho_cong :premises (@p340 @p338)) % 0.39/0.62 (step @p342 :rule ho_cong :premises (@p161 @p341)) % 0.39/0.62 (step @p343 :rule ho_cong :premises (@p170 @p342)) % 0.39/0.62 (step @p344 :rule trans :premises (@p343 @p293)) % 0.39/0.62 (step @p345 :rule eq_resolve :premises (@p12 @p344)) % 0.39/0.62 (step @p346 :rule instantiate :premises (@p345) :args ((@list @t154 @t153))) % 0.39/0.62 (step @p347 :rule cnf_or_pos :args (@t237)) % 0.39/0.62 (step @p348 :rule reordering :premises (@p347) :args ((or @t158 @t162 (not @t237)))) % 0.39/0.62 (step @p349 false :rule chain_m_resolution :premises (@p348 @p346 @p191 @p182) :args (false (@list false true false) (@list @t237 @t162 @t155))) % 0.39/0.62 ) % 0.39/0.62 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------