%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS275^7 : 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 : n013.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 08:29:12 AM UTC 2026 % Result : Theorem 10.33s 10.55s % Output : Proof 10.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS275^7 : TPTP v9.2.1. Released v5.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:39:15 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 10.33/10.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 10.33/10.55 % SZS status Theorem % 10.33/10.55 % SZS output start Proof % 10.33/10.55 ( % 10.33/10.55 (declare-sort tptp.mu 0) % 10.33/10.55 (declare-sort $$unsorted 0) % 10.33/10.55 (declare-const tptp.exists_in_world (-> tptp.mu $$unsorted Bool)) % 10.33/10.55 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 10.33/10.55 (declare-const tptp.john tptp.mu) % 10.33/10.55 (declare-const tptp.teach (-> tptp.mu tptp.mu $$unsorted Bool)) % 10.33/10.55 (declare-const tptp.cs tptp.mu) % 10.33/10.55 (declare-const tptp.psych tptp.mu) % 10.33/10.55 (declare-const tptp.sue tptp.mu) % 10.33/10.55 (declare-const tptp.mary tptp.mu) % 10.33/10.55 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 10.33/10.55 (declare-const tptp.math tptp.mu) % 10.33/10.55 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 10.33/10.55 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 10.33/10.55 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 10.33/10.55 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 10.33/10.55 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 10.33/10.55 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 10.33/10.55 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 10.33/10.55 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 10.33/10.55 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 10.33/10.55 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 10.33/10.55 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 10.33/10.55 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 10.33/10.55 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.exists_in_world _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 10.33/10.55 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 10.33/10.55 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 10.33/10.55 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 10.33/10.55 (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)))))))) % 10.33/10.55 (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)))))))) % 10.33/10.55 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 10.33/10.55 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 10.33/10.55 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 10.33/10.55 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 10.33/10.55 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 10.33/10.55 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 10.33/10.55 (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))))))))))))) % 10.33/10.55 (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)))))) % 10.33/10.55 (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)))))) % 10.33/10.55 (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))))))) % 10.33/10.55 (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))))))) % 10.33/10.55 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s4 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 10.33/10.55 (define tptp.mdia_s4 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 (_ tptp.mnot _let_2))) _let_1))))) % 10.33/10.55 (define @t1 () (@var "V" $$unsorted)) % 10.33/10.55 (define @t2 () (@var "X" tptp.mu)) % 10.33/10.55 (define @t3 () (_ tptp.exists_in_world @t2)) % 10.33/10.55 (define @t4 () (_ @t3 @t1)) % 10.33/10.55 (define @t5 () (@list @t2)) % 10.33/10.55 (define @t6 () (@list @t1)) % 10.33/10.55 (define @t7 () (@var "W" $$unsorted)) % 10.33/10.55 (define @t8 () (_ @t3 @t7)) % 10.33/10.55 (define @t9 () (_ (_ tptp.exists_in_world tptp.math) @t1)) % 10.33/10.55 (define @t10 () (forall @t6 @t9)) % 10.33/10.55 (define @t11 () (_ (_ tptp.teach tptp.sue) tptp.psych)) % 10.33/10.55 (define @t12 () (_ (_ tptp.teach tptp.mary) tptp.psych)) % 10.33/10.55 (define @t13 () (@var "__flatten_var_0" $$unsorted)) % 10.33/10.55 (define @t14 () (_ (_ (_ tptp.teach @t2) tptp.cs) @t13)) % 10.33/10.55 (define @t15 () (@list @t2 @t13)) % 10.33/10.55 (define @t16 () (lambda @t15 @t14)) % 10.33/10.55 (define @t17 () (_ tptp.teach tptp.john)) % 10.33/10.55 (define @t18 () (_ @t17 tptp.math)) % 10.33/10.55 (define @t19 () (_ @t17 @t2)) % 10.33/10.55 (define @t20 () (lambda @t15 (_ (_ tptp.mbox_s4 @t19) @t13))) % 10.33/10.55 (define @t21 () (not (_ tptp.mvalid (_ tptp.mexists_ind @t20)))) % 10.33/10.55 (define @t22 () (@var "Y" (-> $$unsorted Bool))) % 10.33/10.55 (define @t23 () (@var "X" (-> $$unsorted Bool))) % 10.33/10.55 (define @t24 () (lambda (@list @t23 @t22 @t7) (= (_ @t23 @t7) (_ @t22 @t7)))) % 10.33/10.55 (define @t25 () (@var "Phi" (-> $$unsorted Bool))) % 10.33/10.55 (define @t26 () (_ @t25 @t7)) % 10.33/10.55 (define @t27 () (not @t26)) % 10.33/10.55 (define @t28 () (@list @t25 @t7)) % 10.33/10.55 (define @t29 () (lambda @t28 @t27)) % 10.33/10.55 (define @t30 () (@var "Psi" (-> $$unsorted Bool))) % 10.33/10.55 (define @t31 () (_ @t30 @t7)) % 10.33/10.55 (define @t32 () (lambda (@list @t25 @t30 @t7) (or @t26 @t31))) % 10.33/10.55 (define @t33 () (_ @t25 @t1)) % 10.33/10.55 (define @t34 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 10.33/10.55 (define @t35 () (lambda (@list @t34 @t25 @t7) (forall @t6 (or (not (_ (_ @t34 @t7) @t1)) @t33)))) % 10.33/10.55 (define @t36 () (@var "P" (-> $$unsorted Bool))) % 10.33/10.55 (define @t37 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 10.33/10.55 (define @t38 () (_ @t37 @t36)) % 10.33/10.55 (define @t39 () (lambda (@list @t37 @t7) (forall (@list @t36) (_ @t38 @t7)))) % 10.33/10.55 (define @t40 () (@list @t7)) % 10.33/10.55 (define @t41 () (lambda @t40 true)) % 10.33/10.55 (define @t42 () (_ tptp.mnot @t30)) % 10.33/10.55 (define @t43 () (_ tptp.mnot @t25)) % 10.33/10.55 (define @t44 () (_ tptp.mor @t43)) % 10.33/10.55 (define @t45 () (@list @t25 @t30 @t13)) % 10.33/10.55 (define @t46 () (lambda @t45 (_ (_ tptp.mnot (_ @t44 @t42)) @t13))) % 10.33/10.55 (define @t47 () (lambda @t45 (_ (_ @t44 @t30) @t13))) % 10.33/10.55 (define @t48 () (lambda @t45 (_ (_ (_ tptp.mor @t42) @t25) @t13))) % 10.33/10.55 (define @t49 () (lambda @t45 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t25) @t30)) (_ (_ tptp.mimplies @t30) @t25)) @t13))) % 10.33/10.55 (define @t50 () (lambda @t45 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t25) @t30)) @t13))) % 10.33/10.55 (define @t51 () (lambda (@list @t34 @t25 @t13) (_ (_ tptp.mnot (_ (_ tptp.mbox @t34) @t43)) @t13))) % 10.33/10.55 (define @t52 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 10.33/10.55 (define @t53 () (_ @t52 @t2)) % 10.33/10.55 (define @t54 () (_ @t53 @t7)) % 10.33/10.55 (define @t55 () (forall @t5 (=> @t8 @t54))) % 10.33/10.55 (define @t56 () (@list @t52 @t7)) % 10.33/10.55 (define @t57 () (lambda @t56 @t55)) % 10.33/10.55 (define @t58 () (lambda @t15 (_ (_ tptp.mnot @t53) @t13))) % 10.33/10.55 (define @t59 () (@list @t52 @t13)) % 10.33/10.55 (define @t60 () (lambda @t59 (_ (_ tptp.mnot (_ tptp.mforall_ind @t58)) @t13))) % 10.33/10.55 (define @t61 () (lambda (@list @t37 @t13) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t36 @t13) (_ (_ tptp.mnot @t38) @t13)))) @t13))) % 10.33/10.55 (define @t62 () (@var "S" $$unsorted)) % 10.33/10.55 (define @t63 () (_ @t34 @t62)) % 10.33/10.55 (define @t64 () (@list @t62)) % 10.33/10.55 (define @t65 () (@list @t34)) % 10.33/10.55 (define @t66 () (lambda @t65 (forall @t64 (_ @t63 @t62)))) % 10.33/10.55 (define @t67 () (@var "T" $$unsorted)) % 10.33/10.55 (define @t68 () (_ @t34 @t67)) % 10.33/10.55 (define @t69 () (_ @t63 @t67)) % 10.33/10.55 (define @t70 () (lambda @t65 (forall (@list @t62 @t67) (=> @t69 (_ @t68 @t62))))) % 10.33/10.55 (define @t71 () (@list @t67)) % 10.33/10.55 (define @t72 () (lambda @t65 (forall @t64 (exists @t71 @t69)))) % 10.33/10.55 (define @t73 () (@var "U" $$unsorted)) % 10.33/10.55 (define @t74 () (_ @t63 @t73)) % 10.33/10.55 (define @t75 () (_ @t68 @t73)) % 10.33/10.55 (define @t76 () (@list @t62 @t67 @t73)) % 10.33/10.55 (define @t77 () (lambda @t65 (forall @t76 (=> (and @t69 @t75) @t74)))) % 10.33/10.55 (define @t78 () (and @t69 @t74)) % 10.33/10.55 (define @t79 () (lambda @t65 (forall @t76 (=> @t78 @t75)))) % 10.33/10.55 (define @t80 () (= @t67 @t73)) % 10.33/10.55 (define @t81 () (lambda @t65 (forall @t76 (=> @t78 @t80)))) % 10.33/10.55 (define @t82 () (@list @t73)) % 10.33/10.55 (define @t83 () (lambda @t65 (forall @t64 (exists @t71 (and @t69 (forall @t82 (=> @t74 @t80))))))) % 10.33/10.55 (define @t84 () (_ @t34 @t73)) % 10.33/10.55 (define @t85 () (_ @t84 @t67)) % 10.33/10.55 (define @t86 () (lambda @t65 (forall @t76 (=> @t69 (exists @t82 (and @t74 @t85)))))) % 10.33/10.55 (define @t87 () (lambda @t65 (forall @t76 (=> @t78 (or @t75 @t80 @t85))))) % 10.33/10.55 (define @t88 () (lambda @t65 (forall @t76 (=> @t78 (exists @t6 (and (_ @t68 @t1) (_ @t84 @t1))))))) % 10.33/10.55 (define @t89 () (forall @t40 @t26)) % 10.33/10.55 (define @t90 () (@list @t25)) % 10.33/10.55 (define @t91 () (lambda @t90 @t89)) % 10.33/10.55 (define @t92 () (lambda @t90 (exists @t40 @t26))) % 10.33/10.55 (define @t93 () (lambda @t90 (exists @t40 @t27))) % 10.33/10.55 (define @t94 () (lambda @t90 (forall @t40 @t27))) % 10.33/10.55 (define @t95 () (_ (_ tptp.rel_s4 @t7) @t1)) % 10.33/10.55 (define @t96 () (not @t95)) % 10.33/10.55 (define @t97 () (or @t96 @t33)) % 10.33/10.55 (define @t98 () (forall @t6 @t97)) % 10.33/10.55 (define @t99 () (lambda @t28 @t98)) % 10.33/10.55 (define @t100 () (lambda (@list @t25 @t13) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t43)) @t13))) % 10.33/10.55 (define @t101 () (tptp.teach tptp.john @t2 @t1)) % 10.33/10.55 (define @t102 () (tptp.rel_s4 @t7 @t1)) % 10.33/10.55 (define @t103 () (not @t102)) % 10.33/10.55 (define @t104 () (forall @t6 (or @t103 @t101))) % 10.33/10.55 (define @t105 () (tptp.exists_in_world @t2 @t7)) % 10.33/10.55 (define @t106 () (not @t105)) % 10.33/10.55 (define @t107 () (not (forall @t5 (or @t106 (not @t104))))) % 10.33/10.55 (define @t108 () (forall @t6 (or (not (tptp.rel_s4 @t13 @t1)) @t101))) % 10.33/10.55 (define @t109 () (not (tptp.exists_in_world @t2 @t13))) % 10.33/10.55 (define @t110 () (@list @t13)) % 10.33/10.55 (define @t111 () (lambda @t110 (not (forall @t5 (or @t109 (not @t108)))))) % 10.33/10.55 (define @t112 () (_ @t111 @t7)) % 10.33/10.55 (define @t113 () (forall @t40 @t112)) % 10.33/10.55 (define @t114 () (_ @t25 @t7)) % 10.33/10.55 (define @t115 () (lambda @t90 (forall @t40 @t114))) % 10.33/10.55 (define @t116 () (lambda @t15 @t108)) % 10.33/10.55 (define @t117 () (_ @t116 @t2 @t13)) % 10.33/10.55 (define @t118 () (not @t117)) % 10.33/10.55 (define @t119 () (or @t109 @t118)) % 10.33/10.55 (define @t120 () (forall @t5 @t119)) % 10.33/10.55 (define @t121 () (not @t120)) % 10.33/10.55 (define @t122 () (lambda @t110 @t121)) % 10.33/10.55 (define @t123 () (not (forall @t5 (or @t109 (not (_ @t52 @t2 @t13)))))) % 10.33/10.55 (define @t124 () (lambda @t59 @t123)) % 10.33/10.55 (define @t125 () (_ @t19 @t1)) % 10.33/10.55 (define @t126 () (or @t103 @t125)) % 10.33/10.55 (define @t127 () (_ @t19 @t1)) % 10.33/10.55 (define @t128 () (or @t103 @t127)) % 10.33/10.55 (define @t129 () (forall @t6 @t128)) % 10.33/10.55 (define @t130 () (lambda @t40 @t129)) % 10.33/10.55 (define @t131 () (_ @t25 @t1)) % 10.33/10.55 (define @t132 () (lambda @t28 (forall @t6 (or @t103 @t131)))) % 10.33/10.55 (define @t133 () (_ @t132 @t19)) % 10.33/10.55 (define @t134 () (lambda @t15 (_ @t133 @t13))) % 10.33/10.55 (define @t135 () (_ @t52 @t2 @t7)) % 10.33/10.55 (define @t136 () (forall @t5 (or @t106 (not @t135)))) % 10.33/10.55 (define @t137 () (lambda @t40 @t136)) % 10.33/10.55 (define @t138 () (_ @t137 @t7)) % 10.33/10.55 (define @t139 () (not @t138)) % 10.33/10.55 (define @t140 () (lambda @t40 @t139)) % 10.33/10.55 (define @t141 () (not @t54)) % 10.33/10.55 (define @t142 () (or @t106 @t141)) % 10.33/10.55 (define @t143 () (not (_ @t53 @t13))) % 10.33/10.55 (define @t144 () (lambda @t15 @t143)) % 10.33/10.55 (define @t145 () (_ @t144 @t2 @t7)) % 10.33/10.55 (define @t146 () (or @t106 @t145)) % 10.33/10.55 (define @t147 () (forall @t5 @t146)) % 10.33/10.55 (define @t148 () (lambda @t40 @t147)) % 10.33/10.55 (define @t149 () (lambda @t56 (forall @t5 (or @t106 @t135)))) % 10.33/10.55 (define @t150 () (lambda @t40 @t141)) % 10.33/10.55 (define @t151 () (_ @t29 @t53)) % 10.33/10.55 (define @t152 () (not @t8)) % 10.33/10.55 (define @t153 () (or @t152 @t54)) % 10.33/10.55 (define @t154 () (forall @t40 @t107)) % 10.33/10.55 (define @t155 () (@quantifiers_skolemize @t154 0)) % 10.33/10.55 (define @t156 () (not (tptp.rel_s4 @t155 @t1))) % 10.33/10.55 (define @t157 () (forall @t5 (or (not (tptp.exists_in_world @t2 @t155)) (not (forall @t6 (or @t156 @t101)))))) % 10.33/10.55 (define @t158 () (not @t154)) % 10.33/10.55 (define @t159 () (not (not @t157))) % 10.33/10.55 (define @t160 () (@list true)) % 10.33/10.55 (define @t161 () (tptp.exists_in_world tptp.math @t1)) % 10.33/10.55 (define @t162 () (tptp.teach tptp.john tptp.math @t1)) % 10.33/10.55 (define @t163 () (forall @t6 (or @t156 @t162))) % 10.33/10.55 (define @t164 () (not @t163)) % 10.33/10.55 (define @t165 () (tptp.exists_in_world tptp.math @t155)) % 10.33/10.55 (define @t166 () (not @t165)) % 10.33/10.55 (define @t167 () (or @t166 @t164)) % 10.33/10.55 (define @t168 () (@quantifiers_skolemize @t163 0)) % 10.33/10.55 (define @t169 () (tptp.rel_s4 @t155 @t168)) % 10.33/10.55 (define @t170 () (tptp.teach tptp.john tptp.math @t168)) % 10.33/10.55 (define @t171 () (not @t169)) % 10.33/10.55 (define @t172 () (or @t171 @t170)) % 10.33/10.55 (define @t173 () (@list @t172)) % 10.33/10.55 (define @t174 () (and @t170 (not (forall @t5 (or (not (tptp.exists_in_world @t2 @t168)) (not (tptp.teach @t2 tptp.cs @t168))))) (tptp.teach tptp.mary tptp.psych @t168) (tptp.teach tptp.sue tptp.psych @t168))) % 10.33/10.55 (define @t175 () (not @t174)) % 10.33/10.55 (define @t176 () (tptp.teach tptp.sue tptp.psych @t1)) % 10.33/10.55 (define @t177 () (tptp.teach tptp.mary tptp.psych @t1)) % 10.33/10.55 (define @t178 () (forall @t5 (or (not (tptp.exists_in_world @t2 @t1)) (not (tptp.teach @t2 tptp.cs @t1))))) % 10.33/10.55 (define @t179 () (not @t178)) % 10.33/10.55 (define @t180 () (or @t103 (and @t162 @t179 @t177 @t176))) % 10.33/10.55 (define @t181 () (forall @t6 @t180)) % 10.33/10.55 (define @t182 () (lambda @t40 @t181)) % 10.33/10.55 (define @t183 () (_ @t182 @t7)) % 10.33/10.55 (define @t184 () (forall @t40 @t183)) % 10.33/10.55 (define @t185 () (_ @t11 @t1)) % 10.33/10.55 (define @t186 () (_ @t12 @t1)) % 10.33/10.55 (define @t187 () (_ @t18 @t1)) % 10.33/10.55 (define @t188 () (and @t187 @t179 @t186 @t185)) % 10.33/10.55 (define @t189 () (or @t103 @t188)) % 10.33/10.55 (define @t190 () (not @t185)) % 10.33/10.55 (define @t191 () (not @t190)) % 10.33/10.55 (define @t192 () (not @t186)) % 10.33/10.55 (define @t193 () (not @t192)) % 10.33/10.55 (define @t194 () (not @t187)) % 10.33/10.55 (define @t195 () (not @t194)) % 10.33/10.55 (define @t196 () (and @t195 @t179 @t193 @t191)) % 10.33/10.55 (define @t197 () (not (or @t194 @t178 @t192 @t190))) % 10.33/10.55 (define @t198 () (or @t103 @t197)) % 10.33/10.55 (define @t199 () (not (_ @t11 @t13))) % 10.33/10.55 (define @t200 () (not (_ @t12 @t13))) % 10.33/10.55 (define @t201 () (tptp.teach @t2 tptp.cs @t13)) % 10.33/10.55 (define @t202 () (forall @t5 (or @t109 (not @t201)))) % 10.33/10.55 (define @t203 () (not (_ @t18 @t13))) % 10.33/10.55 (define @t204 () (or @t203 @t202 @t200 @t199)) % 10.33/10.55 (define @t205 () (lambda @t110 (not @t204))) % 10.33/10.55 (define @t206 () (_ @t205 @t1)) % 10.33/10.55 (define @t207 () (or @t103 @t206)) % 10.33/10.55 (define @t208 () (forall @t6 @t207)) % 10.33/10.55 (define @t209 () (lambda @t40 @t208)) % 10.33/10.55 (define @t210 () (or @t202 @t200 @t199)) % 10.33/10.55 (define @t211 () (not @t210)) % 10.33/10.55 (define @t212 () (lambda @t110 @t211)) % 10.33/10.55 (define @t213 () (_ @t212 @t13)) % 10.33/10.55 (define @t214 () (not @t213)) % 10.33/10.55 (define @t215 () (or @t203 @t214)) % 10.33/10.55 (define @t216 () (not @t215)) % 10.33/10.55 (define @t217 () (lambda @t110 @t216)) % 10.33/10.55 (define @t218 () (not (_ @t30 @t13))) % 10.33/10.55 (define @t219 () (@list @t30 @t13)) % 10.33/10.55 (define @t220 () (lambda @t219 (not (or @t203 @t218)))) % 10.33/10.55 (define @t221 () (or @t200 @t199)) % 10.33/10.55 (define @t222 () (not @t221)) % 10.33/10.55 (define @t223 () (lambda @t110 @t222)) % 10.33/10.55 (define @t224 () (_ @t223 @t13)) % 10.33/10.55 (define @t225 () (not @t224)) % 10.33/10.55 (define @t226 () (or @t202 @t225)) % 10.33/10.55 (define @t227 () (not @t226)) % 10.33/10.55 (define @t228 () (lambda @t110 @t227)) % 10.33/10.55 (define @t229 () (lambda @t219 (not (or @t200 @t218)))) % 10.33/10.55 (define @t230 () (not (or (not (_ @t25 @t13)) @t218))) % 10.33/10.55 (define @t231 () (lambda @t45 @t230)) % 10.33/10.55 (define @t232 () (not @t202)) % 10.33/10.55 (define @t233 () (lambda @t110 @t232)) % 10.33/10.55 (define @t234 () (_ @t233 @t13)) % 10.33/10.55 (define @t235 () (not @t234)) % 10.33/10.55 (define @t236 () (or @t235 @t218)) % 10.33/10.55 (define @t237 () (not @t236)) % 10.33/10.55 (define @t238 () (lambda @t219 @t237)) % 10.33/10.55 (define @t239 () (not @t14)) % 10.33/10.55 (define @t240 () (or @t109 @t239)) % 10.33/10.55 (define @t241 () (_ @t16 @t2 @t13)) % 10.33/10.55 (define @t242 () (not @t241)) % 10.33/10.55 (define @t243 () (or @t109 @t242)) % 10.33/10.55 (define @t244 () (forall @t5 @t243)) % 10.33/10.55 (define @t245 () (not @t244)) % 10.33/10.55 (define @t246 () (lambda @t110 @t245)) % 10.33/10.55 (define @t247 () (not @t31)) % 10.33/10.55 (define @t248 () (or @t27 @t247)) % 10.33/10.55 (define @t249 () (lambda @t40 @t248)) % 10.33/10.55 (define @t250 () (_ @t249 @t7)) % 10.33/10.55 (define @t251 () (not @t250)) % 10.33/10.55 (define @t252 () (lambda @t40 @t251)) % 10.33/10.55 (define @t253 () (lambda @t40 @t247)) % 10.33/10.55 (define @t254 () (_ @t253 @t7)) % 10.33/10.55 (define @t255 () (or @t27 @t254)) % 10.33/10.55 (define @t256 () (lambda @t40 @t255)) % 10.33/10.55 (define @t257 () (@list @t30 @t7)) % 10.33/10.55 (define @t258 () (lambda @t40 @t27)) % 10.33/10.55 (define @t259 () (_ @t258 @t7)) % 10.33/10.55 (define @t260 () (or @t259 @t31)) % 10.33/10.55 (define @t261 () (lambda @t257 @t260)) % 10.33/10.55 (define @t262 () (or @t171 @t174)) % 10.33/10.55 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 10.33/10.55 (assume @p2 (forall @t6 (exists @t5 @t4))) % 10.33/10.55 (assume @p3 (_ tptp.mreflexive tptp.rel_s4)) % 10.33/10.55 (assume @p4 (_ tptp.mtransitive tptp.rel_s4)) % 10.33/10.55 (assume @p5 (forall (@list @t2 @t1 @t7) (=> (and @t4 (_ (_ tptp.rel_s4 @t1) @t7)) @t8))) % 10.33/10.55 (assume @p6 (forall @t6 (_ (_ tptp.exists_in_world tptp.sue) @t1))) % 10.33/10.55 (assume @p7 (forall @t6 (_ (_ tptp.exists_in_world tptp.psych) @t1))) % 10.33/10.55 (assume @p8 (forall @t6 (_ (_ tptp.exists_in_world tptp.mary) @t1))) % 10.33/10.55 (assume @p9 (forall @t6 (_ (_ tptp.exists_in_world tptp.cs) @t1))) % 10.33/10.55 (assume @p10 @t10) % 10.33/10.55 (assume @p11 (forall @t6 (_ (_ tptp.exists_in_world tptp.john) @t1))) % 10.33/10.55 (assume @p12 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.mand @t18) (_ (_ tptp.mand (_ tptp.mexists_ind @t16)) (_ (_ tptp.mand @t12) @t11)))))) % 10.33/10.55 (assume @p13 @t21) % 10.33/10.55 (assume @p14 true) % 10.33/10.55 (step @p15 (= tptp.meq_prop @t24) :rule refl :args (@t24)) % 10.33/10.55 (step @p16 (= tptp.mnot @t29) :rule refl :args (@t29)) % 10.33/10.55 (step @p17 (= tptp.mor @t32) :rule refl :args (@t32)) % 10.33/10.55 (step @p18 (= tptp.mbox @t35) :rule refl :args (@t35)) % 10.33/10.55 (step @p19 (= tptp.mforall_prop @t39) :rule refl :args (@t39)) % 10.33/10.55 (step @p20 (= tptp.mtrue @t41) :rule refl :args (@t41)) % 10.33/10.55 (step @p21 (= tptp.mand @t46) :rule refl :args (@t46)) % 10.33/10.55 (step @p22 (= tptp.mimplies @t47) :rule refl :args (@t47)) % 10.33/10.55 (step @p23 (= tptp.mimplied @t48) :rule refl :args (@t48)) % 10.33/10.55 (step @p24 (= tptp.mequiv @t49) :rule refl :args (@t49)) % 10.33/10.55 (step @p25 (= tptp.mxor @t50) :rule refl :args (@t50)) % 10.33/10.55 (step @p26 (= tptp.mdia @t51) :rule refl :args (@t51)) % 10.33/10.55 (step @p27 (= tptp.mforall_ind @t57) :rule refl :args (@t57)) % 10.33/10.55 (step @p28 (= tptp.mexists_ind @t60) :rule refl :args (@t60)) % 10.33/10.55 (step @p29 (= tptp.mexists_prop @t61) :rule refl :args (@t61)) % 10.33/10.55 (step @p30 (= tptp.mreflexive @t66) :rule refl :args (@t66)) % 10.33/10.55 (step @p31 (= tptp.msymmetric @t70) :rule refl :args (@t70)) % 10.33/10.55 (step @p32 (= tptp.mserial @t72) :rule refl :args (@t72)) % 10.33/10.55 (step @p33 (= tptp.mtransitive @t77) :rule refl :args (@t77)) % 10.33/10.55 (step @p34 (= tptp.meuclidean @t79) :rule refl :args (@t79)) % 10.33/10.55 (step @p35 (= tptp.mpartially_functional @t81) :rule refl :args (@t81)) % 10.33/10.55 (step @p36 (= tptp.mfunctional @t83) :rule refl :args (@t83)) % 10.33/10.55 (step @p37 (= tptp.mweakly_dense @t86) :rule refl :args (@t86)) % 10.33/10.55 (step @p38 (= tptp.mweakly_connected @t87) :rule refl :args (@t87)) % 10.33/10.55 (step @p39 (= tptp.mweakly_directed @t88) :rule refl :args (@t88)) % 10.33/10.55 (step @p40 (= tptp.mvalid @t91) :rule refl :args (@t91)) % 10.33/10.55 (step @p41 (= tptp.msatisfiable @t92) :rule refl :args (@t92)) % 10.33/10.55 (step @p42 (= tptp.mcountersatisfiable @t93) :rule refl :args (@t93)) % 10.33/10.55 (step @p43 (= tptp.minvalid @t94) :rule refl :args (@t94)) % 10.33/10.55 (step @p44 (= tptp.mbox_s4 @t99) :rule refl :args (@t99)) % 10.33/10.55 (step @p45 (= tptp.mdia_s4 @t100) :rule refl :args (@t100)) % 10.33/10.55 (step @p46 :rule beta-reduce :args ((= @t112 @t107))) % 10.33/10.55 (step @p47 :rule cong :premises (@p46) :args (@t113)) % 10.33/10.55 (step @p48 :rule beta-reduce :args ((= (_ @t115 @t111) @t113))) % 10.33/10.55 (step @p49 :rule trans :premises (@p48 @p47)) % 10.33/10.55 (step @p50 :rule beta-reduce :args ((= @t117 @t108))) % 10.33/10.55 (step @p51 :rule cong :premises (@p50) :args (@t118)) % 10.33/10.55 (step @p52 :rule refl :args (@t109)) % 10.33/10.55 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t119)) % 10.33/10.55 (step @p54 :rule cong :premises (@p53) :args (@t120)) % 10.33/10.55 (step @p55 :rule cong :premises (@p54) :args (@t121)) % 10.33/10.55 (step @p56 :rule cong :premises (@p55) :args (@t122)) % 10.33/10.55 (step @p57 :rule beta-reduce :args ((= (_ @t124 @t116) @t122))) % 10.33/10.55 (step @p58 :rule trans :premises (@p57 @p56)) % 10.33/10.55 (step @p59 :rule beta-reduce :args ((= (_ (lambda @t40 @t104) @t13) @t108))) % 10.33/10.55 (step @p60 :rule refl :args (@t13)) % 10.33/10.55 (step @p61 :rule refl :args (@t101)) % 10.33/10.55 (step @p62 :rule refl :args (@t125)) % 10.33/10.55 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t125 @t101))) % 10.33/10.55 (step @p64 :rule symm :premises (@p63)) % 10.33/10.55 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 10.33/10.55 (step @p66 :rule refl :args (@t103)) % 10.33/10.55 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t126)) % 10.33/10.55 (step @p68 :rule cong :premises (@p67) :args ((forall @t6 @t126))) % 10.33/10.55 (step @p69 :rule refl :args (@t127)) % 10.33/10.55 (step @p70 :rule refl :args (@t103)) % 10.33/10.55 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t128)) % 10.33/10.55 (step @p72 :rule cong :premises (@p71) :args (@t129)) % 10.33/10.55 (step @p73 :rule trans :premises (@p72 @p68)) % 10.33/10.55 (step @p74 :rule cong :premises (@p73) :args (@t130)) % 10.33/10.55 (step @p75 :rule beta-reduce :args ((= @t133 @t130))) % 10.33/10.55 (step @p76 :rule trans :premises (@p75 @p74)) % 10.33/10.55 (step @p77 :rule ho_cong :premises (@p76 @p60)) % 10.33/10.55 (step @p78 :rule trans :premises (@p77 @p59)) % 10.33/10.55 (step @p79 :rule cong :premises (@p78) :args (@t134)) % 10.33/10.55 (step @p80 :rule refl :args (@t124)) % 10.33/10.55 (step @p81 :rule ho_cong :premises (@p80 @p79)) % 10.33/10.55 (step @p82 :rule trans :premises (@p81 @p58)) % 10.33/10.55 (step @p83 :rule refl :args (@t115)) % 10.33/10.55 (step @p84 :rule ho_cong :premises (@p83 @p82)) % 10.33/10.55 (step @p85 :rule trans :premises (@p84 @p49)) % 10.33/10.55 (step @p86 :rule cong :premises (@p85) :args ((not (_ @t115 (_ @t124 @t134))))) % 10.33/10.55 (step @p87 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:args (@t237)) % 10.33/10.55 (step @p303 :rule cong :premises (@p302) :args (@t238)) % 10.33/10.55 (step @p304 :rule beta-reduce :args ((= (_ @t231 @t233) @t238))) % 10.33/10.55 (step @p305 :rule trans :premises (@p304 @p303)) % 10.33/10.55 (step @p306 :rule refl :args (@t201)) % 10.33/10.55 (step @p307 :rule refl :args (@t14)) % 10.33/10.55 (step @p308 :rule cong :premises (@p307 @p306) :args ((= @t14 @t201))) % 10.33/10.55 (step @p309 :rule symm :premises (@p308)) % 10.33/10.55 (step @p310 :rule eq_resolve :premises (@p307 @p309)) % 10.33/10.55 (step @p311 :rule cong :premises (@p310) :args (@t239)) % 10.33/10.55 (step @p312 :rule refl :args (@t109)) % 10.33/10.55 (step @p313 :rule nary_cong :premises (@p312 @p311) :args (@t240)) % 10.33/10.55 (step @p314 :rule cong :premises (@p313) :args ((forall @t5 @t240))) % 10.33/10.55 (step @p315 :rule beta-reduce :args ((= @t241 @t14))) % 10.33/10.55 (step @p316 :rule cong :premises (@p315) :args (@t242)) % 10.33/10.55 (step @p317 :rule nary_cong :premises (@p52 @p316) :args (@t243)) % 10.33/10.55 (step @p318 :rule cong :premises (@p317) :args (@t244)) % 10.33/10.55 (step @p319 :rule trans :premises (@p318 @p314)) % 10.33/10.55 (step @p320 :rule cong :premises (@p319) :args (@t245)) % 10.33/10.55 (step @p321 :rule cong :premises (@p320) :args (@t246)) % 10.33/10.55 (step @p322 :rule beta-reduce :args ((= (_ @t124 @t16) @t246))) % 10.33/10.55 (step @p323 :rule trans :premises (@p322 @p321)) % 10.33/10.55 (step @p324 :rule refl :args (@t231)) % 10.33/10.55 (step @p325 :rule ho_cong :premises (@p324 @p323)) % 10.33/10.55 (step @p326 :rule trans :premises (@p325 @p305)) % 10.33/10.55 (step @p327 :rule ho_cong :premises (@p326 @p295)) % 10.33/10.55 (step @p328 :rule trans :premises (@p327 @p290)) % 10.33/10.55 (step @p329 :rule beta-reduce :args ((= (_ @t231 @t18) @t220))) % 10.33/10.55 (step @p330 :rule ho_cong :premises (@p329 @p328)) % 10.33/10.55 (step @p331 :rule trans :premises (@p330 @p278)) % 10.33/10.55 (step @p332 :rule refl :args (@t132)) % 10.33/10.55 (step @p333 :rule ho_cong :premises (@p332 @p331)) % 10.33/10.55 (step @p334 :rule trans :premises (@p333 @p266)) % 10.33/10.55 (step @p335 :rule ho_cong :premises (@p83 @p334)) % 10.33/10.55 (step @p336 :rule trans :premises (@p335 @p222)) % 10.33/10.55 (step @p337 :rule refl :args (@t12)) % 10.33/10.55 (step @p338 :rule beta-reduce :args ((= (_ (lambda @t40 (not @t248)) @t13) @t230))) % 10.33/10.55 (step @p339 :rule beta-reduce :args ((= @t250 @t248))) % 10.33/10.55 (step @p340 :rule cong :premises (@p339) :args (@t251)) % 10.33/10.55 (step @p341 :rule cong :premises (@p340) :args (@t252)) % 10.33/10.55 (step @p342 :rule beta-reduce :args ((= (_ @t29 @t249) @t252))) % 10.33/10.55 (step @p343 :rule trans :premises (@p342 @p341)) % 10.33/10.55 (step @p344 :rule beta-reduce :args ((= @t254 @t247))) % 10.33/10.55 (step @p345 :rule refl :args (@t27)) % 10.33/10.55 (step @p346 :rule nary_cong :premises (@p345 @p344) :args (@t255)) % 10.33/10.55 (step @p347 :rule cong :premises (@p346) :args (@t256)) % 10.33/10.55 (step @p348 :rule beta-reduce :args ((= (_ (lambda @t257 (or @t27 @t31)) @t253) @t256))) % 10.33/10.55 (step @p349 :rule trans :premises (@p348 @p347)) % 10.33/10.55 (step @p350 :rule beta-reduce :args ((= (_ @t29 @t30) @t253))) % 10.33/10.55 (step @p351 :rule refl :args (@t31)) % 10.33/10.55 (step @p352 :rule beta-reduce :args ((= @t259 @t27))) % 10.33/10.55 (step @p353 :rule nary_cong :premises (@p352 @p351) :args (@t260)) % 10.33/10.55 (step @p354 :rule cong :premises (@p353) :args (@t261)) % 10.33/10.55 (step @p355 :rule beta-reduce :args ((= (_ @t32 @t258) @t261))) % 10.33/10.55 (step @p356 :rule trans :premises (@p355 @p354)) % 10.33/10.55 (step @p357 :rule beta-reduce :args ((= (_ @t29 @t25) @t258))) % 10.33/10.55 (step @p358 :rule refl :args (@t32)) % 10.33/10.55 (step @p359 :rule ho_cong :premises (@p358 @p357)) % 10.33/10.55 (step @p360 :rule trans :premises (@p359 @p356)) % 10.33/10.55 (step @p361 :rule ho_cong :premises (@p360 @p350)) % 10.33/10.56 (step @p362 :rule trans :premises (@p361 @p349)) % 10.33/10.56 (step @p363 :rule ho_cong :premises (@p137 @p362)) % 10.33/10.56 (step @p364 :rule trans :premises (@p363 @p343)) % 10.33/10.56 (step @p365 :rule ho_cong :premises (@p364 @p60)) % 10.33/10.56 (step @p366 :rule trans :premises (@p365 @p338)) % 10.33/10.56 (step @p367 :rule refl :args (@t30)) % 10.33/10.56 (step @p368 :rule ho_cong :premises (@p16 @p367)) % 10.33/10.56 (step @p369 :rule refl :args (@t25)) % 10.33/10.56 (step @p370 :rule ho_cong :premises (@p16 @p369)) % 10.33/10.56 (step @p371 :rule ho_cong :premises (@p17 @p370)) % 10.33/10.56 (step @p372 :rule ho_cong :premises (@p371 @p368)) % 10.33/10.56 (step @p373 :rule ho_cong :premises (@p16 @p372)) % 10.33/10.56 (step @p374 :rule ho_cong :premises (@p373 @p60)) % 10.33/10.56 (step @p375 :rule trans :premises (@p374 @p366)) % 10.33/10.56 (step @p376 :rule cong :premises (@p375) :args (@t46)) % 10.33/10.56 (step @p377 :rule trans :premises (@p21 @p376)) % 10.33/10.56 (step @p378 :rule ho_cong :premises (@p377 @p337)) % 10.33/10.56 (step @p379 :rule ho_cong :premises (@p378 @p292)) % 10.33/10.56 (step @p380 :rule refl :args (@t16)) % 10.33/10.56 (step @p381 :rule ho_cong :premises (@p164 @p380)) % 10.33/10.56 (step @p382 :rule ho_cong :premises (@p377 @p381)) % 10.33/10.56 (step @p383 :rule ho_cong :premises (@p382 @p379)) % 10.33/10.56 (step @p384 :rule refl :args (@t18)) % 10.33/10.56 (step @p385 :rule ho_cong :premises (@p377 @p384)) % 10.33/10.56 (step @p386 :rule ho_cong :premises (@p385 @p383)) % 10.33/10.56 (step @p387 :rule ho_cong :premises (@p102 @p386)) % 10.33/10.56 (step @p388 :rule ho_cong :premises (@p173 @p387)) % 10.33/10.56 (step @p389 :rule trans :premises (@p388 @p336)) % 10.33/10.56 (step @p390 :rule eq_resolve :premises (@p12 @p389)) % 10.33/10.56 (step @p391 :rule instantiate :premises (@p390) :args ((@list @t155 @t168))) % 10.33/10.56 (step @p392 :rule cnf_or_pos :args (@t262)) % 10.33/10.56 (step @p393 :rule reordering :premises (@p392) :args ((or @t171 @t174 (not @t262)))) % 10.33/10.56 (step @p394 false :rule chain_m_resolution :premises (@p393 @p391 @p216 @p211) :args (false (@list false true false) (@list @t262 @t174 @t169))) % 10.33/10.56 ) % 10.33/10.56 % SZS output end Proof % 10.33/10.56 % cvc5 exiting %------------------------------------------------------------------------------