%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ086^1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:44:10 AM UTC 2026 % Result : Theorem 168.83s 169.87s % Output : Proof 168.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ086^1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.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 13:17:15 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TH0 % 168.83/169.87 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 168.83/169.87 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 168.83/169.87 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 168.83/169.87 --- Run --ho-elim --full-saturate-quant at 18s... % 168.83/169.87 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 168.83/169.87 % SZS status Theorem % 168.83/169.87 % SZS output start Proof % 168.83/169.87 ( % 168.83/169.87 (declare-sort $$unsorted 0) % 168.83/169.87 (declare-sort tptp.mu 0) % 168.83/169.87 (declare-const tptp.appointment (-> $$unsorted Bool)) % 168.83/169.87 (declare-const tptp.place (-> $$unsorted Bool)) % 168.83/169.87 (declare-const tptp.wife (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 168.83/169.87 (declare-const tptp.john (-> $$unsorted $$unsorted Bool)) % 168.83/169.87 (declare-const tptp.peter (-> $$unsorted $$unsorted Bool)) % 168.83/169.87 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 168.83/169.87 (declare-const tptp.time (-> $$unsorted Bool)) % 168.83/169.87 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 168.83/169.87 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 168.83/169.87 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 168.83/169.87 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 168.83/169.87 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 168.83/169.87 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 168.83/169.87 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 168.83/169.87 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 168.83/169.87 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 168.83/169.87 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 168.83/169.87 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 168.83/169.87 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 168.83/169.87 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 168.83/169.87 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 168.83/169.87 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 168.83/169.87 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 168.83/169.87 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 168.83/169.87 (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)))))))) % 168.83/169.87 (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)))))))) % 168.83/169.87 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 168.83/169.87 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 168.83/169.87 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 168.83/169.87 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 168.83/169.87 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 168.83/169.87 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 168.83/169.87 (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))))))))))))) % 168.83/169.87 (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)))))) % 168.83/169.87 (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))))))) % 168.83/169.87 (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)))))) % 168.83/169.87 (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))))))) % 168.83/169.87 (define @t1 () (_ tptp.wife tptp.peter)) % 168.83/169.87 (define @t2 () (@var "__flatten_var_0" $$unsorted)) % 168.83/169.87 (define @t3 () (@var "A" (-> $$unsorted Bool))) % 168.83/169.87 (define @t4 () (_ tptp.mbox tptp.peter)) % 168.83/169.87 (define @t5 () (_ @t4 @t3)) % 168.83/169.87 (define @t6 () (_ tptp.mbox tptp.john)) % 168.83/169.87 (define @t7 () (@list @t3 @t2)) % 168.83/169.87 (define @t8 () (_ tptp.mbox @t1)) % 168.83/169.87 (define @t9 () (_ @t4 tptp.time)) % 168.83/169.87 (define @t10 () (not (_ tptp.mvalid (_ (_ tptp.mand (_ @t4 (_ @t6 tptp.appointment))) (_ @t6 (_ @t4 tptp.appointment)))))) % 168.83/169.87 (define @t11 () (@var "Y" tptp.mu)) % 168.83/169.87 (define @t12 () (@var "X" tptp.mu)) % 168.83/169.87 (define @t13 () (@var "W" $$unsorted)) % 168.83/169.87 (define @t14 () (lambda (@list @t12 @t11 @t13) (= @t12 @t11))) % 168.83/169.87 (define @t15 () (@var "Y" (-> $$unsorted Bool))) % 168.83/169.87 (define @t16 () (@var "X" (-> $$unsorted Bool))) % 168.83/169.87 (define @t17 () (lambda (@list @t16 @t15 @t13) (= (_ @t16 @t13) (_ @t15 @t13)))) % 168.83/169.87 (define @t18 () (@var "Phi" (-> $$unsorted Bool))) % 168.83/169.87 (define @t19 () (_ @t18 @t13)) % 168.83/169.87 (define @t20 () (not @t19)) % 168.83/169.87 (define @t21 () (@list @t18 @t13)) % 168.83/169.87 (define @t22 () (lambda @t21 @t20)) % 168.83/169.87 (define @t23 () (@var "Psi" (-> $$unsorted Bool))) % 168.83/169.87 (define @t24 () (_ @t23 @t13)) % 168.83/169.87 (define @t25 () (lambda (@list @t18 @t23 @t13) (or @t19 @t24))) % 168.83/169.87 (define @t26 () (_ tptp.mnot @t23)) % 168.83/169.87 (define @t27 () (_ tptp.mnot @t18)) % 168.83/169.87 (define @t28 () (_ tptp.mor @t27)) % 168.83/169.87 (define @t29 () (@list @t18 @t23 @t2)) % 168.83/169.87 (define @t30 () (lambda @t29 (_ (_ tptp.mnot (_ @t28 @t26)) @t2))) % 168.83/169.87 (define @t31 () (lambda @t29 (_ (_ @t28 @t23) @t2))) % 168.83/169.87 (define @t32 () (lambda @t29 (_ (_ (_ tptp.mor @t26) @t18) @t2))) % 168.83/169.87 (define @t33 () (lambda @t29 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t18) @t23)) (_ (_ tptp.mimplies @t23) @t18)) @t2))) % 168.83/169.87 (define @t34 () (lambda @t29 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t18) @t23)) @t2))) % 168.83/169.87 (define @t35 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 168.83/169.87 (define @t36 () (_ @t35 @t12)) % 168.83/169.87 (define @t37 () (lambda (@list @t35 @t13) (forall (@list @t12) (_ @t36 @t13)))) % 168.83/169.87 (define @t38 () (@var "P" (-> $$unsorted Bool))) % 168.83/169.87 (define @t39 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 168.83/169.87 (define @t40 () (_ @t39 @t38)) % 168.83/169.87 (define @t41 () (lambda (@list @t39 @t13) (forall (@list @t38) (_ @t40 @t13)))) % 168.83/169.87 (define @t42 () (lambda (@list @t35 @t2) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t12 @t2) (_ (_ tptp.mnot @t36) @t2)))) @t2))) % 168.83/169.87 (define @t43 () (lambda (@list @t39 @t2) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t38 @t2) (_ (_ tptp.mnot @t40) @t2)))) @t2))) % 168.83/169.87 (define @t44 () (@list @t13)) % 168.83/169.87 (define @t45 () (lambda @t44 true)) % 168.83/169.87 (define @t46 () (@var "V" $$unsorted)) % 168.83/169.87 (define @t47 () (_ @t18 @t46)) % 168.83/169.87 (define @t48 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 168.83/169.87 (define @t49 () (_ (_ @t48 @t13) @t46)) % 168.83/169.87 (define @t50 () (not @t49)) % 168.83/169.87 (define @t51 () (or @t50 @t47)) % 168.83/169.87 (define @t52 () (@list @t46)) % 168.83/169.87 (define @t53 () (forall @t52 @t51)) % 168.83/169.87 (define @t54 () (@list @t48 @t18 @t13)) % 168.83/169.87 (define @t55 () (lambda @t54 @t53)) % 168.83/169.87 (define @t56 () (lambda (@list @t48 @t18 @t2) (_ (_ tptp.mnot (_ (_ tptp.mbox @t48) @t27)) @t2))) % 168.83/169.87 (define @t57 () (@var "S" $$unsorted)) % 168.83/169.87 (define @t58 () (_ @t48 @t57)) % 168.83/169.87 (define @t59 () (_ @t58 @t57)) % 168.83/169.87 (define @t60 () (@list @t57)) % 168.83/169.87 (define @t61 () (forall @t60 @t59)) % 168.83/169.87 (define @t62 () (@list @t48)) % 168.83/169.87 (define @t63 () (lambda @t62 @t61)) % 168.83/169.87 (define @t64 () (@var "T" $$unsorted)) % 168.83/169.87 (define @t65 () (_ @t48 @t64)) % 168.83/169.87 (define @t66 () (_ @t58 @t64)) % 168.83/169.87 (define @t67 () (lambda @t62 (forall (@list @t57 @t64) (=> @t66 (_ @t65 @t57))))) % 168.83/169.87 (define @t68 () (@list @t64)) % 168.83/169.87 (define @t69 () (lambda @t62 (forall @t60 (exists @t68 @t66)))) % 168.83/169.87 (define @t70 () (@var "U" $$unsorted)) % 168.83/169.87 (define @t71 () (_ @t58 @t70)) % 168.83/169.87 (define @t72 () (_ @t65 @t70)) % 168.83/169.87 (define @t73 () (@list @t57 @t64 @t70)) % 168.83/169.87 (define @t74 () (lambda @t62 (forall @t73 (=> (and @t66 @t72) @t71)))) % 168.83/169.87 (define @t75 () (and @t66 @t71)) % 168.83/169.87 (define @t76 () (lambda @t62 (forall @t73 (=> @t75 @t72)))) % 168.83/169.87 (define @t77 () (= @t64 @t70)) % 168.83/169.87 (define @t78 () (lambda @t62 (forall @t73 (=> @t75 @t77)))) % 168.83/169.87 (define @t79 () (@list @t70)) % 168.83/169.87 (define @t80 () (lambda @t62 (forall @t60 (exists @t68 (and @t66 (forall @t79 (=> @t71 @t77))))))) % 168.83/169.87 (define @t81 () (_ @t48 @t70)) % 168.83/169.87 (define @t82 () (_ @t81 @t64)) % 168.83/169.87 (define @t83 () (lambda @t62 (forall @t73 (=> @t66 (exists @t79 (and @t71 @t82)))))) % 168.83/169.87 (define @t84 () (lambda @t62 (forall @t73 (=> @t75 (or @t72 @t77 @t82))))) % 168.83/169.87 (define @t85 () (lambda @t62 (forall @t73 (=> @t75 (exists @t52 (and (_ @t65 @t46) (_ @t81 @t46))))))) % 168.83/169.87 (define @t86 () (forall @t44 @t19)) % 168.83/169.87 (define @t87 () (@list @t18)) % 168.83/169.87 (define @t88 () (lambda @t87 @t86)) % 168.83/169.87 (define @t89 () (lambda @t87 (forall @t44 @t20))) % 168.83/169.87 (define @t90 () (lambda @t87 (exists @t44 @t19))) % 168.83/169.87 (define @t91 () (lambda @t87 (exists @t44 @t20))) % 168.83/169.87 (define @t92 () (@var "BOUND_VARIABLE_8960" $$unsorted)) % 168.83/169.87 (define @t93 () (@const 0 (@ho-elim-sort (-> $$unsorted Bool)))) % 168.83/169.87 (define @t94 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 168.83/169.87 (define @t95 () (@const 2 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 168.83/169.87 (define @t96 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 168.83/169.87 (define @t97 () (_ @t96 @t95 @t46)) % 168.83/169.87 (define @t98 () (@var "BOUND_VARIABLE_9044" $$unsorted)) % 168.83/169.87 (define @t99 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 168.83/169.87 (define @t100 () (@list @t98 @t46 @t92)) % 168.83/169.87 (define @t101 () (forall @t100 (or (not (_ @t94 (_ @t96 @t99 @t98) @t46)) (not (_ @t94 @t97 @t92)) (_ @t94 @t93 @t92)))) % 168.83/169.87 (define @t102 () (@quantifiers_skolemize @t101 1)) % 168.83/169.87 (define @t103 () (@quantifiers_skolemize @t101 0)) % 168.83/169.87 (define @t104 () (_ @t94 (_ @t96 @t99 @t103) @t102)) % 168.83/169.87 (define @t105 () (@quantifiers_skolemize @t101 2)) % 168.83/169.87 (define @t106 () (_ @t94 @t93 @t105)) % 168.83/169.87 (define @t107 () (_ @t94 (_ @t96 @t95 @t102) @t105)) % 168.83/169.87 (define @t108 () (not @t107)) % 168.83/169.87 (define @t109 () (not @t104)) % 168.83/169.87 (define @t110 () (or @t109 @t108 @t106)) % 168.83/169.87 (define @t111 () (@var "BOUND_VARIABLE_8722" $$unsorted)) % 168.83/169.87 (define @t112 () (@const 5 (@ho-elim-sort (-> $$unsorted Bool)))) % 168.83/169.87 (define @t113 () (not (_ @t94 (_ @t96 @t99 @t13) @t46))) % 168.83/169.87 (define @t114 () (@list @t13 @t46 @t111)) % 168.83/169.87 (define @t115 () (tptp.place @t111)) % 168.83/169.87 (define @t116 () (not (tptp.john @t46 @t111))) % 168.83/169.87 (define @t117 () (not (tptp.peter @t13 @t46))) % 168.83/169.87 (define @t118 () (or @t117 @t116 @t115)) % 168.83/169.87 (define @t119 () (forall @t114 @t118)) % 168.83/169.87 (define @t120 () (@list @t46 @t111)) % 168.83/169.87 (define @t121 () (forall @t120 @t118)) % 168.83/169.87 (define @t122 () (lambda @t44 @t121)) % 168.83/169.87 (define @t123 () (_ @t122 @t13)) % 168.83/169.87 (define @t124 () (forall @t44 @t123)) % 168.83/169.87 (define @t125 () (_ @t18 @t13)) % 168.83/169.87 (define @t126 () (lambda @t87 (forall @t44 @t125))) % 168.83/169.87 (define @t127 () (or @t116 @t115)) % 168.83/169.87 (define @t128 () (or @t117 @t127)) % 168.83/169.87 (define @t129 () (forall @t120 @t128)) % 168.83/169.87 (define @t130 () (@list @t111)) % 168.83/169.87 (define @t131 () (forall @t130 @t128)) % 168.83/169.87 (define @t132 () (forall @t130 @t127)) % 168.83/169.87 (define @t133 () (@var "BOUND_VARIABLE_8706" $$unsorted)) % 168.83/169.87 (define @t134 () (@list @t133)) % 168.83/169.87 (define @t135 () (or @t117 @t132)) % 168.83/169.87 (define @t136 () (tptp.place @t133)) % 168.83/169.87 (define @t137 () (@list @t133)) % 168.83/169.87 (define @t138 () (forall @t137 (or (not (tptp.john @t46 @t133)) @t136))) % 168.83/169.87 (define @t139 () (tptp.place @t46)) % 168.83/169.87 (define @t140 () (not (tptp.john @t13 @t46))) % 168.83/169.87 (define @t141 () (forall @t52 (or @t140 @t139))) % 168.83/169.87 (define @t142 () (@list @t46)) % 168.83/169.87 (define @t143 () (lambda @t44 @t141)) % 168.83/169.87 (define @t144 () (or @t117 (_ @t143 @t46))) % 168.83/169.87 (define @t145 () (forall @t52 @t144)) % 168.83/169.87 (define @t146 () (lambda @t44 @t145)) % 168.83/169.87 (define @t147 () (_ @t18 @t46)) % 168.83/169.87 (define @t148 () (lambda @t21 (forall @t52 (or @t117 @t147)))) % 168.83/169.87 (define @t149 () (lambda @t21 (forall @t52 (or @t140 @t147)))) % 168.83/169.87 (define @t150 () (_ @t48 @t13 @t46)) % 168.83/169.87 (define @t151 () (lambda @t54 (forall @t52 (or (not @t150) @t147)))) % 168.83/169.87 (define @t152 () (_ @t151 tptp.john)) % 168.83/169.87 (define @t153 () (_ @t151 tptp.peter)) % 168.83/169.87 (define @t154 () (@list @t103 @t102 @t105)) % 168.83/169.87 (define @t155 () (_ @t94 @t112 @t105)) % 168.83/169.87 (define @t156 () (or @t109 @t108 @t155)) % 168.83/169.87 (define @t157 () (@const 6 (@ho-elim-sort (-> $$unsorted Bool)))) % 168.83/169.87 (define @t158 () (@list @t13 @t46)) % 168.83/169.87 (define @t159 () (tptp.time @t46)) % 168.83/169.87 (define @t160 () (or @t117 @t159)) % 168.83/169.87 (define @t161 () (forall @t158 @t160)) % 168.83/169.87 (define @t162 () (forall @t52 @t160)) % 168.83/169.87 (define @t163 () (lambda @t44 @t162)) % 168.83/169.87 (define @t164 () (_ @t163 @t13)) % 168.83/169.87 (define @t165 () (forall @t44 @t164)) % 168.83/169.87 (define @t166 () (forall @t60 (tptp.peter @t57 @t57))) % 168.83/169.87 (define @t167 () (_ @t48 @t57 @t57)) % 168.83/169.87 (define @t168 () (lambda @t62 (forall @t60 @t167))) % 168.83/169.87 (define @t169 () (_ @t94 @t157 @t105)) % 168.83/169.87 (define @t170 () (_ @t94 (_ @t96 @t99 @t105) @t105)) % 168.83/169.87 (define @t171 () (not @t170)) % 168.83/169.87 (define @t172 () (or @t171 @t169)) % 168.83/169.87 (define @t173 () (@var "BOUND_VARIABLE_8904" $$unsorted)) % 168.83/169.87 (define @t174 () (@list @t13 @t46 @t173)) % 168.83/169.87 (define @t175 () (not (tptp.time @t173))) % 168.83/169.87 (define @t176 () (not (tptp.place @t173))) % 168.83/169.87 (define @t177 () (tptp.appointment @t173)) % 168.83/169.87 (define @t178 () (not (tptp.john @t46 @t173))) % 168.83/169.87 (define @t179 () (or @t117 @t178 @t177 @t176 @t175)) % 168.83/169.87 (define @t180 () (forall @t174 @t179)) % 168.83/169.87 (define @t181 () (@list @t46 @t173)) % 168.83/169.87 (define @t182 () (forall @t181 @t179)) % 168.83/169.87 (define @t183 () (lambda @t44 @t182)) % 168.83/169.87 (define @t184 () (_ @t183 @t13)) % 168.83/169.87 (define @t185 () (forall @t44 @t184)) % 168.83/169.87 (define @t186 () (or @t178 @t177 @t176 @t175)) % 168.83/169.87 (define @t187 () (or @t117 @t186)) % 168.83/169.87 (define @t188 () (forall @t181 @t187)) % 168.83/169.87 (define @t189 () (@list @t173)) % 168.83/169.87 (define @t190 () (forall @t189 @t187)) % 168.83/169.87 (define @t191 () (forall @t189 @t186)) % 168.83/169.87 (define @t192 () (@var "BOUND_VARIABLE_8884" $$unsorted)) % 168.83/169.87 (define @t193 () (@list @t192)) % 168.83/169.87 (define @t194 () (or @t117 @t191)) % 168.83/169.87 (define @t195 () (not (tptp.time @t192))) % 168.83/169.87 (define @t196 () (not (tptp.place @t192))) % 168.83/169.87 (define @t197 () (tptp.appointment @t192)) % 168.83/169.87 (define @t198 () (@list @t192)) % 168.83/169.87 (define @t199 () (forall @t198 (or (not (tptp.john @t46 @t192)) @t197 @t196 @t195))) % 168.83/169.87 (define @t200 () (tptp.appointment @t46)) % 168.83/169.87 (define @t201 () (forall @t52 (or @t140 @t200 (not @t139) (not @t159)))) % 168.83/169.87 (define @t202 () (lambda @t44 @t201)) % 168.83/169.87 (define @t203 () (or @t117 (_ @t202 @t46))) % 168.83/169.87 (define @t204 () (forall @t52 @t203)) % 168.83/169.87 (define @t205 () (lambda @t44 @t204)) % 168.83/169.87 (define @t206 () (_ tptp.time @t46)) % 168.83/169.87 (define @t207 () (not @t206)) % 168.83/169.87 (define @t208 () (_ tptp.place @t46)) % 168.83/169.87 (define @t209 () (not @t208)) % 168.83/169.87 (define @t210 () (_ tptp.appointment @t46)) % 168.83/169.87 (define @t211 () (or @t140 @t210 @t209 @t207)) % 168.83/169.87 (define @t212 () (or @t210 @t209 @t207)) % 168.83/169.87 (define @t213 () (not (_ tptp.time @t2))) % 168.83/169.87 (define @t214 () (not (_ tptp.place @t2))) % 168.83/169.87 (define @t215 () (@list @t2)) % 168.83/169.87 (define @t216 () (lambda @t215 (or (_ tptp.appointment @t2) @t214 @t213))) % 168.83/169.87 (define @t217 () (_ @t216 @t46)) % 168.83/169.87 (define @t218 () (or @t140 @t217)) % 168.83/169.87 (define @t219 () (forall @t52 @t218)) % 168.83/169.87 (define @t220 () (lambda @t44 @t219)) % 168.83/169.87 (define @t221 () (_ @t23 @t2)) % 168.83/169.87 (define @t222 () (or @t221 @t214 @t213)) % 168.83/169.87 (define @t223 () (@list @t23 @t2)) % 168.83/169.87 (define @t224 () (or @t214 @t213)) % 168.83/169.87 (define @t225 () (not @t224)) % 168.83/169.87 (define @t226 () (lambda @t215 @t225)) % 168.83/169.87 (define @t227 () (_ @t226 @t2)) % 168.83/169.87 (define @t228 () (not @t227)) % 168.83/169.87 (define @t229 () (or @t228 @t221)) % 168.83/169.87 (define @t230 () (lambda @t223 @t229)) % 168.83/169.87 (define @t231 () (not (_ @t18 @t2))) % 168.83/169.87 (define @t232 () (or @t231 @t221)) % 168.83/169.87 (define @t233 () (lambda @t29 @t232)) % 168.83/169.87 (define @t234 () (not @t221)) % 168.83/169.87 (define @t235 () (lambda @t223 (not (or @t214 @t234)))) % 168.83/169.87 (define @t236 () (not (or @t231 @t234))) % 168.83/169.87 (define @t237 () (lambda @t29 @t236)) % 168.83/169.87 (define @t238 () (not @t24)) % 168.83/169.87 (define @t239 () (or @t20 @t238)) % 168.83/169.87 (define @t240 () (lambda @t44 @t239)) % 168.83/169.87 (define @t241 () (_ @t240 @t13)) % 168.83/169.87 (define @t242 () (not @t241)) % 168.83/169.87 (define @t243 () (lambda @t44 @t242)) % 168.83/169.87 (define @t244 () (lambda @t44 @t238)) % 168.83/169.87 (define @t245 () (_ @t244 @t13)) % 168.83/169.87 (define @t246 () (or @t20 @t245)) % 168.83/169.87 (define @t247 () (lambda @t44 @t246)) % 168.83/169.87 (define @t248 () (or @t20 @t24)) % 168.83/169.87 (define @t249 () (@list @t23 @t13)) % 168.83/169.87 (define @t250 () (lambda @t249 @t248)) % 168.83/169.87 (define @t251 () (lambda @t44 @t20)) % 168.83/169.87 (define @t252 () (_ @t251 @t13)) % 168.83/169.87 (define @t253 () (or @t252 @t24)) % 168.83/169.87 (define @t254 () (lambda @t249 @t253)) % 168.83/169.87 (define @t255 () (lambda @t44 @t248)) % 168.83/169.87 (define @t256 () (not @t169)) % 168.83/169.87 (define @t257 () (not @t155)) % 168.83/169.87 (define @t258 () (or @t109 @t108 @t106 @t257 @t256)) % 168.83/169.87 (define @t259 () (not @t110)) % 168.83/169.87 (define @t260 () (not @t101)) % 168.83/169.87 (define @t261 () (@list false)) % 168.83/169.87 (define @t262 () (forall @t60 (tptp.john @t57 @t57))) % 168.83/169.87 (define @t263 () (@var "BOUND_VARIABLE_9009" $$unsorted)) % 168.83/169.87 (define @t264 () (@var "BOUND_VARIABLE_9052" $$unsorted)) % 168.83/169.87 (define @t265 () (@list @t264 @t46 @t263)) % 168.83/169.87 (define @t266 () (forall @t265 (or (not (_ @t94 (_ @t96 @t95 @t264) @t46)) (not (_ @t94 (_ @t96 @t99 @t46) @t263)) (_ @t94 @t93 @t263)))) % 168.83/169.87 (define @t267 () (@quantifiers_skolemize @t266 2)) % 168.83/169.87 (define @t268 () (@list @t267)) % 168.83/169.87 (define @t269 () (tptp.appointment @t263)) % 168.83/169.87 (define @t270 () (not (tptp.peter @t46 @t263))) % 168.83/169.87 (define @t271 () (or (not (tptp.john @t264 @t46)) @t270 @t269)) % 168.83/169.87 (define @t272 () (forall @t265 @t271)) % 168.83/169.87 (define @t273 () (tptp.appointment @t92)) % 168.83/169.87 (define @t274 () (not (tptp.john @t46 @t92))) % 168.83/169.87 (define @t275 () (or (not (tptp.peter @t98 @t46)) @t274 @t273)) % 168.83/169.87 (define @t276 () (forall @t100 @t275)) % 168.83/169.87 (define @t277 () (@list @t46 @t263)) % 168.83/169.87 (define @t278 () (forall (@list @t264) (forall @t277 @t271))) % 168.83/169.87 (define @t279 () (@list @t46 @t92)) % 168.83/169.87 (define @t280 () (forall (@list @t98) (forall @t279 @t275))) % 168.83/169.87 (define @t281 () (or @t140 @t270 @t269)) % 168.83/169.87 (define @t282 () (forall @t277 @t281)) % 168.83/169.87 (define @t283 () (forall @t44 @t282)) % 168.83/169.87 (define @t284 () (@list @t13)) % 168.83/169.87 (define @t285 () (or @t117 @t274 @t273)) % 168.83/169.87 (define @t286 () (forall @t279 @t285)) % 168.83/169.87 (define @t287 () (forall @t44 @t286)) % 168.83/169.87 (define @t288 () (and @t287 @t283)) % 168.83/169.87 (define @t289 () (not @t282)) % 168.83/169.87 (define @t290 () (not @t286)) % 168.83/169.87 (define @t291 () (not (or @t290 @t289))) % 168.83/169.87 (define @t292 () (forall @t277 (or (not (tptp.john @t2 @t46)) @t270 @t269))) % 168.83/169.87 (define @t293 () (forall @t279 (or (not (tptp.peter @t2 @t46)) @t274 @t273))) % 168.83/169.87 (define @t294 () (not @t293)) % 168.83/169.87 (define @t295 () (lambda @t215 (not (or @t294 (not @t292))))) % 168.83/169.87 (define @t296 () (_ @t295 @t13)) % 168.83/169.87 (define @t297 () (forall @t44 @t296)) % 168.83/169.87 (define @t298 () (lambda @t44 @t282)) % 168.83/169.87 (define @t299 () (_ @t298 @t2)) % 168.83/169.87 (define @t300 () (not @t299)) % 168.83/169.87 (define @t301 () (or @t294 @t300)) % 168.83/169.87 (define @t302 () (not @t301)) % 168.83/169.87 (define @t303 () (lambda @t215 @t302)) % 168.83/169.87 (define @t304 () (or @t270 @t269)) % 168.83/169.87 (define @t305 () (or @t140 @t304)) % 168.83/169.87 (define @t306 () (forall @t277 @t305)) % 168.83/169.87 (define @t307 () (@list @t263)) % 168.83/169.87 (define @t308 () (forall @t307 @t305)) % 168.83/169.87 (define @t309 () (forall @t307 @t304)) % 168.83/169.87 (define @t310 () (@var "BOUND_VARIABLE_8993" $$unsorted)) % 168.83/169.87 (define @t311 () (@list @t310)) % 168.83/169.87 (define @t312 () (or @t140 @t309)) % 168.83/169.87 (define @t313 () (tptp.appointment @t310)) % 168.83/169.87 (define @t314 () (@list @t310)) % 168.83/169.87 (define @t315 () (forall @t314 (or (not (tptp.peter @t46 @t310)) @t313))) % 168.83/169.87 (define @t316 () (forall @t52 (or @t117 @t200))) % 168.83/169.87 (define @t317 () (lambda @t44 @t316)) % 168.83/169.87 (define @t318 () (or @t140 (_ @t317 @t46))) % 168.83/169.87 (define @t319 () (forall @t52 @t318)) % 168.83/169.87 (define @t320 () (lambda @t44 @t319)) % 168.83/169.87 (define @t321 () (lambda @t44 @t286)) % 168.83/169.87 (define @t322 () (_ @t321 @t2)) % 168.83/169.87 (define @t323 () (not @t322)) % 168.83/169.87 (define @t324 () (or @t323 @t234)) % 168.83/169.87 (define @t325 () (not @t324)) % 168.83/169.87 (define @t326 () (lambda @t223 @t325)) % 168.83/169.87 (define @t327 () (or @t274 @t273)) % 168.83/169.87 (define @t328 () (or @t117 @t327)) % 168.83/169.87 (define @t329 () (forall @t279 @t328)) % 168.83/169.87 (define @t330 () (@list @t92)) % 168.83/169.87 (define @t331 () (forall @t330 @t328)) % 168.83/169.87 (define @t332 () (forall @t330 @t327)) % 168.83/169.87 (define @t333 () (@var "BOUND_VARIABLE_8944" $$unsorted)) % 168.83/169.87 (define @t334 () (@list @t333)) % 168.83/169.87 (define @t335 () (or @t117 @t332)) % 168.83/169.87 (define @t336 () (tptp.appointment @t333)) % 168.83/169.87 (define @t337 () (@list @t333)) % 168.83/169.87 (define @t338 () (forall @t337 (or (not (tptp.john @t46 @t333)) @t336))) % 168.83/169.87 (define @t339 () (forall @t52 (or @t140 @t200))) % 168.83/169.87 (define @t340 () (lambda @t44 @t339)) % 168.83/169.87 (define @t341 () (or @t117 (_ @t340 @t46))) % 168.83/169.87 (define @t342 () (forall @t52 @t341)) % 168.83/169.87 (define @t343 () (lambda @t44 @t342)) % 168.83/169.87 (define @t344 () (not @t266)) % 168.83/169.87 (define @t345 () (_ @t94 @t93 @t267)) % 168.83/169.87 (define @t346 () (@quantifiers_skolemize @t266 1)) % 168.83/169.87 (define @t347 () (or (not (_ @t94 (_ @t96 @t95 (@quantifiers_skolemize @t266 0)) @t346)) (not (_ @t94 (_ @t96 @t99 @t346) @t267)) @t345)) % 168.83/169.87 (define @t348 () (not @t347)) % 168.83/169.87 (define @t349 () (@list true)) % 168.83/169.87 (define @t350 () (_ @t94 (_ @t96 @t95 @t267) @t267)) % 168.83/169.87 (define @t351 () (not @t350)) % 168.83/169.87 (define @t352 () (_ @t94 (_ @t96 @t99 @t267) @t267)) % 168.83/169.87 (define @t353 () (not @t352)) % 168.83/169.87 (define @t354 () (or @t353 @t351 @t345)) % 168.83/169.87 (define @t355 () (not @t354)) % 168.83/169.87 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 168.83/169.87 (assume @p2 (_ tptp.mreflexive tptp.peter)) % 168.83/169.87 (assume @p3 (_ tptp.mreflexive tptp.john)) % 168.83/169.87 (assume @p4 (_ tptp.mreflexive @t1)) % 168.83/169.87 (assume @p5 (_ tptp.mtransitive tptp.peter)) % 168.83/169.87 (assume @p6 (_ tptp.mtransitive tptp.john)) % 168.83/169.87 (assume @p7 (_ tptp.mtransitive @t1)) % 168.83/169.87 (assume @p8 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t7 (_ (_ (_ tptp.mimplies (_ @t4 (_ @t6 @t3))) (_ @t6 @t5)) @t2))))) % 168.83/169.87 (assume @p9 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t7 (_ (_ (_ tptp.mimplies (_ @t8 @t3)) @t5) @t2))))) % 168.83/169.87 (assume @p10 (_ tptp.mvalid @t9)) % 168.83/169.87 (assume @p11 (_ tptp.mvalid (_ @t4 (_ @t6 tptp.place)))) % 168.83/169.87 (assume @p12 (_ tptp.mvalid (_ @t8 (_ (_ tptp.mimplies @t9) (_ @t6 tptp.time))))) % 168.83/169.87 (assume @p13 (_ tptp.mvalid (_ @t4 (_ @t6 (_ (_ tptp.mimplies (_ (_ tptp.mand tptp.place) tptp.time)) tptp.appointment))))) % 168.83/169.87 (assume @p14 @t10) % 168.83/169.87 (assume @p15 true) % 168.83/169.87 (step @p16 (= tptp.meq_ind @t14) :rule refl :args (@t14)) % 168.83/169.87 (step @p17 (= tptp.meq_prop @t17) :rule refl :args (@t17)) % 168.83/169.87 (step @p18 (= tptp.mnot @t22) :rule refl :args (@t22)) % 168.83/169.87 (step @p19 (= tptp.mor @t25) :rule refl :args (@t25)) % 168.83/169.87 (step @p20 (= tptp.mand @t30) :rule refl :args (@t30)) % 168.83/169.87 (step @p21 (= tptp.mimplies @t31) :rule refl :args (@t31)) % 168.83/169.87 (step @p22 (= tptp.mimplied @t32) :rule refl :args (@t32)) % 168.83/169.87 (step @p23 (= tptp.mequiv @t33) :rule refl :args (@t33)) % 168.83/169.87 (step @p24 (= tptp.mxor @t34) :rule refl :args (@t34)) % 168.83/169.87 (step @p25 (= tptp.mforall_ind @t37) :rule refl :args (@t37)) % 168.83/169.87 (step @p26 (= tptp.mforall_prop @t41) :rule refl :args (@t41)) % 168.83/169.87 (step @p27 (= tptp.mexists_ind @t42) :rule refl :args (@t42)) % 168.83/169.87 (step @p28 (= tptp.mexists_prop @t43) :rule refl :args (@t43)) % 168.83/169.87 (step @p29 (= tptp.mtrue @t45) :rule refl :args (@t45)) % 168.83/169.87 (step @p30 (= tptp.mbox @t55) :rule refl :args (@t55)) % 168.83/169.87 (step @p31 (= tptp.mdia @t56) :rule refl :args (@t56)) % 168.83/169.87 (step @p32 (= tptp.mreflexive @t63) :rule refl :args (@t63)) % 168.83/169.87 (step @p33 (= tptp.msymmetric @t67) :rule refl :args (@t67)) % 168.83/169.87 (step @p34 (= tptp.mserial @t69) :rule refl :args (@t69)) % 168.83/169.87 (step @p35 (= tptp.mtransitive @t74) :rule refl :args (@t74)) % 168.83/169.87 (step @p36 (= tptp.meuclidean @t76) :rule refl :args (@t76)) % 168.83/169.87 (step @p37 (= tptp.mpartially_functional @t78) :rule refl :args (@t78)) % 168.83/169.87 (step @p38 (= tptp.mfunctional @t80) :rule refl :args (@t80)) % 168.83/169.87 (step @p39 (= tptp.mweakly_dense @t83) :rule refl :args (@t83)) % 168.83/169.87 (step @p40 (= tptp.mweakly_connected @t84) :rule refl :args (@t84)) % 168.83/169.87 (step @p41 (= tptp.mweakly_directed @t85) :rule refl :args (@t85)) % 168.83/169.87 (step @p42 (= tptp.mvalid @t88) :rule refl :args (@t88)) % 168.83/169.87 (step @p43 (= tptp.minvalid @t89) :rule refl :args (@t89)) % 168.83/169.87 (step @p44 (= tptp.msatisfiable @t90) :rule refl :args (@t90)) % 168.83/169.87 (step @p45 (= tptp.mcountersatisfiable @t91) :rule refl :args (@t91)) % 168.83/169.87 (step @p46 :rule bool-double-not-elim :args (@t104)) % 168.83/169.87 (step @p47 :rule refl :args (@t110)) % 168.83/169.87 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t110 (not @t109)))) % 168.83/169.87 (step @p49 :rule cnf_or_neg :args (@t110 0)) % 168.83/169.87 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 168.83/169.87 (step @p51 :rule reordering :premises (@p50) :args ((or @t104 @t110))) % 168.83/169.87 (step @p52 :rule bool-double-not-elim :args (@t107)) % 168.83/169.87 (step @p53 :rule nary_cong :premises (@p47 @p52) :args ((or @t110 (not @t108)))) % 168.83/169.87 (step @p54 :rule cnf_or_neg :args (@t110 1)) % 168.83/169.87 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 168.83/169.87 (step @p56 :rule reordering :premises (@p55) :args ((or @t107 @t110))) % 168.83/169.87 (step @p57 :rule cnf_or_neg :args (@t110 2)) % 168.83/169.87 ; WARNING: add trust step for TRUST % 168.83/169.87 ; trust TRUST PREPROCESS_HO_ELIM % 168.83/169.87 (step @p58 :rule trust :premises () :args ((= @t119 (forall @t114 (or @t113 (not (_ @t94 @t97 @t111)) (_ @t94 @t112 @t111)))))) % 168.83/169.87 (step @p59 :rule quant-merge-prenex :args ((= (forall @t44 @t121) @t119))) % 168.83/169.87 (step @p60 :rule beta-reduce :args ((= @t123 @t121))) % 168.83/169.87 (step @p61 :rule cong :premises (@p60) :args (@t124)) % 168.83/169.87 (step @p62 :rule trans :premises (@p61 @p59)) % 168.83/169.87 (step @p63 :rule beta-reduce :args ((= (_ @t126 @t122) @t124))) % 168.83/169.87 (step @p64 :rule trans :premises (@p63 @p62)) % 168.83/169.87 (step @p65 :rule aci_norm :args ((= @t128 @t118))) % 168.83/169.87 (step @p66 :rule cong :premises (@p65) :args (@t129)) % 168.83/169.87 (step @p67 :rule quant-merge-prenex :args ((= (forall @t52 @t131) @t129))) % 168.83/169.87 (step @p68 :rule alpha_equiv :args (@t132 (@list @t111) @t134)) % 168.83/169.87 (step @p69 :rule refl :args (@t117)) % 168.83/169.87 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t135)) % 168.83/169.87 (step @p71 :rule quant-miniscope-or :args ((= @t131 @t135))) % 168.83/169.87 (step @p72 :rule trans :premises (@p71 @p70)) % 168.83/169.87 (step @p73 :rule symm :premises (@p72)) % 168.83/169.87 (step @p74 :rule cong :premises (@p73) :args ((forall @t52 (or @t117 @t138)))) % 168.83/169.87 (step @p75 :rule trans :premises (@p74 @p67)) % 168.83/169.87 (step @p76 :rule trans :premises (@p75 @p66)) % 168.83/169.87 (step @p77 :rule beta-reduce :args ((= (_ (lambda @t44 (forall @t137 (or (not (tptp.john @t13 @t133)) @t136))) @t46) @t138))) % 168.83/169.87 (step @p78 :rule refl :args (@t46)) % 168.83/169.87 (step @p79 :rule alpha_equiv :args (@t141 @t142 @t134)) % 168.83/169.87 (step @p80 :rule cong :premises (@p79) :args (@t143)) % 168.83/169.87 (step @p81 :rule ho_cong :premises (@p80 @p78)) % 168.83/169.87 (step @p82 :rule trans :premises (@p81 @p77)) % 168.83/169.87 (step @p83 :rule refl :args (@t117)) % 168.83/169.87 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t144)) % 168.83/169.87 (step @p85 :rule cong :premises (@p84) :args (@t145)) % 168.83/169.87 (step @p86 :rule trans :premises (@p85 @p76)) % 168.83/169.87 (step @p87 :rule cong :premises (@p86) :args (@t146)) % 168.83/169.87 (step @p88 :rule beta-reduce :args ((= (_ @t148 @t143) @t146))) % 168.83/169.87 (step @p89 :rule trans :premises (@p88 @p87)) % 168.83/169.87 (step @p90 :rule beta-reduce :args ((= (_ @t149 tptp.place) @t143))) % 168.83/169.87 (step @p91 :rule refl :args (tptp.place)) % 168.83/169.87 (step @p92 :rule beta-reduce :args ((= @t152 @t149))) % 168.83/169.87 (step @p93 :rule ho_cong :premises (@p92 @p91)) % 168.83/169.87 (step @p94 :rule trans :premises (@p93 @p90)) % 168.83/169.87 (step @p95 :rule beta-reduce :args ((= @t153 @t148))) % 168.83/169.87 (step @p96 :rule ho_cong :premises (@p95 @p94)) % 168.83/169.87 (step @p97 :rule trans :premises (@p96 @p89)) % 168.83/169.87 (step @p98 :rule refl :args (@t126)) % 168.83/169.87 (step @p99 :rule ho_cong :premises (@p98 @p97)) % 168.83/169.87 (step @p100 :rule trans :premises (@p99 @p64)) % 168.83/169.87 (step @p101 :rule refl :args (tptp.john)) % 168.83/169.87 (step @p102 :rule refl :args (@t147)) % 168.83/169.87 (step @p103 :rule refl :args (@t47)) % 168.83/169.87 (step @p104 :rule cong :premises (@p103 @p102) :args ((= @t47 @t147))) % 168.83/169.87 (step @p105 :rule symm :premises (@p104)) % 168.83/169.87 (step @p106 :rule eq_resolve :premises (@p103 @p105)) % 168.83/169.87 (step @p107 :rule refl :args (@t150)) % 168.83/169.87 (step @p108 :rule refl :args (@t49)) % 168.83/169.87 (step @p109 :rule cong :premises (@p108 @p107) :args ((= @t49 @t150))) % 168.83/169.87 (step @p110 :rule symm :premises (@p109)) % 168.83/169.87 (step @p111 :rule eq_resolve :premises (@p108 @p110)) % 168.83/169.87 (step @p112 :rule cong :premises (@p111) :args (@t50)) % 168.83/169.87 (step @p113 :rule nary_cong :premises (@p112 @p106) :args (@t51)) % 168.83/169.87 (step @p114 :rule cong :premises (@p113) :args (@t53)) % 168.83/169.87 (step @p115 :rule cong :premises (@p114) :args (@t55)) % 168.83/169.87 (step @p116 :rule trans :premises (@p30 @p115)) % 168.83/169.87 (step @p117 :rule ho_cong :premises (@p116 @p101)) % 168.83/169.87 (step @p118 :rule ho_cong :premises (@p117 @p91)) % 168.83/169.87 (step @p119 :rule refl :args (tptp.peter)) % 168.83/169.87 (step @p120 :rule ho_cong :premises (@p116 @p119)) % 168.83/169.87 (step @p121 :rule ho_cong :premises (@p120 @p118)) % 168.83/169.87 (step @p122 :rule refl :args (@t125)) % 168.83/169.87 (step @p123 :rule refl :args (@t19)) % 168.83/169.87 (step @p124 :rule cong :premises (@p123 @p122) :args ((= @t19 @t125))) % 168.83/169.87 (step @p125 :rule symm :premises (@p124)) % 168.83/169.87 (step @p126 :rule eq_resolve :premises (@p123 @p125)) % 168.83/169.87 (step @p127 :rule cong :premises (@p126) :args (@t86)) % 168.83/169.87 (step @p128 :rule cong :premises (@p127) :args (@t88)) % 168.83/169.87 (step @p129 :rule trans :premises (@p42 @p128)) % 168.83/169.87 (step @p130 :rule ho_cong :premises (@p129 @p121)) % 168.83/169.87 (step @p131 :rule trans :premises (@p130 @p100)) % 168.83/169.87 (step @p132 :rule trans :premises (@p131 @p58)) % 168.83/169.87 (step @p133 :rule eq_resolve :premises (@p11 @p132)) % 168.83/169.87 (step @p134 :rule instantiate :premises (@p133) :args (@t154)) % 168.83/169.87 (step @p135 :rule cnf_or_pos :args (@t156)) % 168.83/169.87 (step @p136 :rule reordering :premises (@p135) :args ((or @t109 @t108 @t155 (not @t156)))) % 168.83/169.87 ; trust TRUST PREPROCESS_HO_ELIM % 168.83/169.87 (step @p137 :rule trust :premises () :args ((= @t161 (forall @t158 (or @t113 (_ @t94 @t157 @t46)))))) % 168.83/169.87 (step @p138 :rule quant-merge-prenex :args ((= (forall @t44 @t162) @t161))) % 168.83/169.87 (step @p139 :rule beta-reduce :args ((= @t164 @t162))) % 168.83/169.87 (step @p140 :rule cong :premises (@p139) :args (@t165)) % 168.83/169.87 (step @p141 :rule trans :premises (@p140 @p138)) % 168.83/169.87 (step @p142 :rule beta-reduce :args ((= (_ @t126 @t163) @t165))) % 168.83/169.87 (step @p143 :rule trans :premises (@p142 @p141)) % 168.83/169.87 (step @p144 :rule beta-reduce :args ((= (_ @t148 tptp.time) @t163))) % 168.83/169.87 (step @p145 :rule refl :args (tptp.time)) % 168.83/169.87 (step @p146 :rule ho_cong :premises (@p95 @p145)) % 168.83/169.87 (step @p147 :rule trans :premises (@p146 @p144)) % 168.83/169.87 (step @p148 :rule ho_cong :premises (@p98 @p147)) % 168.83/169.87 (step @p149 :rule trans :premises (@p148 @p143)) % 168.83/169.87 (step @p150 :rule ho_cong :premises (@p120 @p145)) % 168.83/169.87 (step @p151 :rule ho_cong :premises (@p129 @p150)) % 168.83/169.87 (step @p152 :rule trans :premises (@p151 @p149)) % 168.83/169.87 (step @p153 :rule trans :premises (@p152 @p137)) % 168.83/169.87 (step @p154 :rule eq_resolve :premises (@p10 @p153)) % 168.83/169.87 (step @p155 :rule instantiate :premises (@p154) :args ((@list @t105 @t105))) % 168.83/169.87 ; trust TRUST PREPROCESS_HO_ELIM % 168.83/169.87 (step @p156 :rule trust :premises () :args ((= @t166 (forall @t60 (_ @t94 (_ @t96 @t99 @t57) @t57))))) % 168.83/169.87 (step @p157 :rule beta-reduce :args ((= (_ @t168 tptp.peter) @t166))) % 168.83/169.87 (step @p158 :rule refl :args (@t167)) % 168.83/169.87 (step @p159 :rule refl :args (@t59)) % 168.83/169.87 (step @p160 :rule cong :premises (@p159 @p158) :args ((= @t59 @t167))) % 168.83/169.87 (step @p161 :rule symm :premises (@p160)) % 168.83/169.87 (step @p162 :rule eq_resolve :premises (@p159 @p161)) % 168.83/169.87 (step @p163 :rule cong :premises (@p162) :args (@t61)) % 168.83/169.87 (step @p164 :rule cong :premises (@p163) :args (@t63)) % 168.83/169.87 (step @p165 :rule trans :premises (@p32 @p164)) % 168.83/169.87 (step @p166 :rule ho_cong :premises (@p165 @p119)) % 168.83/169.87 (step @p167 :rule trans :premises (@p166 @p157)) % 168.83/169.87 (step @p168 :rule trans :premises (@p167 @p156)) % 168.83/169.87 (step @p169 :rule eq_resolve :premises (@p2 @p168)) % 168.83/169.87 (step @p170 :rule instantiate :premises (@p169) :args ((@list @t105))) % 168.83/169.87 (step @p171 :rule cnf_or_pos :args (@t172)) % 168.83/169.87 (step @p172 :rule reordering :premises (@p171) :args ((or @t169 @t171 (not @t172)))) % 168.83/169.87 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p155) :args (@t169 (@list false false) (@list @t170 @t172))) % 168.83/169.87 ; trust TRUST PREPROCESS_HO_ELIM % 168.83/169.87 (step @p174 :rule trust :premises () :args ((= @t180 (forall @t174 (or @t113 (not (_ @t94 @t97 @t173)) (_ @t94 @t93 @t173) (not (_ @t94 @t112 @t173)) (not (_ @t94 @t157 @t173))))))) % 168.83/169.87 (step @p175 :rule quant-merge-prenex :args ((= (forall @t44 @t182) @t180))) % 168.83/169.87 (step @p176 :rule beta-reduce :args ((= @t184 @t182))) % 168.83/169.87 (step @p177 :rule cong :premises (@p176) :args (@t185)) % 168.83/169.87 (step @p178 :rule trans :premises (@p177 @p175)) % 168.83/169.87 (step @p179 :rule beta-reduce :args ((= (_ @t126 @t183) @t185))) % 168.83/169.87 (step @p180 :rule trans :premises (@p179 @p178)) % 168.83/169.87 (step @p181 :rule aci_norm :args ((= @t187 @t179))) % 168.83/169.87 (step @p182 :rule cong :premises (@p181) :args (@t188)) % 168.83/169.87 (step @p183 :rule quant-merge-prenex :args ((= (forall @t52 @t190) @t188))) % 168.83/169.87 (step @p184 :rule alpha_equiv :args (@t191 (@list @t173) @t193)) % 168.83/169.87 (step @p185 :rule nary_cong :premises (@p69 @p184) :args (@t194)) % 168.83/169.87 (step @p186 :rule quant-miniscope-or :args ((= @t190 @t194))) % 168.83/169.87 (step @p187 :rule trans :premises (@p186 @p185)) % 168.83/169.87 (step @p188 :rule symm :premises (@p187)) % 168.83/169.87 (step @p189 :rule cong :premises (@p188) :args ((forall @t52 (or @t117 @t199)))) % 168.83/169.87 (step @p190 :rule trans :premises (@p189 @p183)) % 168.83/169.87 (step @p191 :rule trans :premises (@p190 @p182)) % 168.83/169.87 (step @p192 :rule beta-reduce :args ((= (_ (lambda @t44 (forall @t198 (or (not (tptp.john @t13 @t192)) @t197 @t196 @t195))) @t46) @t199))) % 168.83/169.87 (step @p193 :rule alpha_equiv :args (@t201 @t142 @t193)) % 168.83/169.87 (step @p194 :rule cong :premises (@p193) :args (@t202)) % 168.83/169.87 (step @p195 :rule ho_cong :premises (@p194 @p78)) % 168.83/169.87 (step @p196 :rule trans :premises (@p195 @p192)) % 168.83/169.87 (step @p197 :rule nary_cong :premises (@p83 @p196) :args (@t203)) % 168.83/169.87 (step @p198 :rule cong :premises (@p197) :args (@t204)) % 168.83/169.87 (step @p199 :rule trans :premises (@p198 @p191)) % 168.83/169.87 (step @p200 :rule cong :premises (@p199) :args (@t205)) % 168.83/169.87 (step @p201 :rule beta-reduce :args ((= (_ @t148 @t202) @t205))) % 168.83/169.87 (step @p202 :rule trans :premises (@p201 @p200)) % 168.83/169.87 (step @p203 :rule refl :args (@t159)) % 168.83/169.87 (step @p204 :rule refl :args (@t206)) % 168.83/169.87 (step @p205 :rule cong :premises (@p204 @p203) :args ((= @t206 @t159))) % 168.83/169.87 (step @p206 :rule symm :premises (@p205)) % 168.83/169.87 (step @p207 :rule eq_resolve :premises (@p204 @p206)) % 168.83/169.87 (step @p208 :rule cong :premises (@p207) :args (@t207)) % 168.83/169.87 (step @p209 :rule refl :args (@t139)) % 168.83/169.87 (step @p210 :rule refl :args (@t208)) % 168.83/169.87 (step @p211 :rule cong :premises (@p210 @p209) :args ((= @t208 @t139))) % 168.83/169.87 (step @p212 :rule symm :premises (@p211)) % 168.83/169.87 (step @p213 :rule eq_resolve :premises (@p210 @p212)) % 168.83/169.87 (step @p214 :rule cong :premises (@p213) :args (@t209)) % 168.83/169.87 (step @p215 :rule refl :args (@t200)) % 168.83/169.87 (step @p216 :rule refl :args (@t210)) % 168.83/169.87 (step @p217 :rule cong :premises (@p216 @p215) :args ((= @t210 @t200))) % 168.83/169.87 (step @p218 :rule symm :premises (@p217)) % 168.83/169.87 (step @p219 :rule eq_resolve :premises (@p216 @p218)) % 168.83/169.87 (step @p220 :rule refl :args (@t140)) % 168.83/169.87 (step @p221 :rule nary_cong :premises (@p220 @p219 @p214 @p208) :args (@t211)) % 168.83/169.87 (step @p222 :rule cong :premises (@p221) :args ((forall @t52 @t211))) % 168.83/169.87 (step @p223 :rule aci_norm :args ((= (or @t140 @t212) @t211))) % 168.83/169.87 (step @p224 :rule beta-reduce :args ((= @t217 @t212))) % 168.83/169.87 (step @p225 :rule refl :args (@t140)) % 168.83/169.87 (step @p226 :rule nary_cong :premises (@p225 @p224) :args (@t218)) % 168.83/169.87 (step @p227 :rule trans :premises (@p226 @p223)) % 168.83/169.87 (step @p228 :rule cong :premises (@p227) :args (@t219)) % 168.83/169.87 (step @p229 :rule trans :premises (@p228 @p222)) % 168.83/169.87 (step @p230 :rule cong :premises (@p229) :args (@t220)) % 168.83/169.87 (step @p231 :rule beta-reduce :args ((= (_ @t149 @t216) @t220))) % 168.83/169.87 (step @p232 :rule trans :premises (@p231 @p230)) % 168.83/169.87 (step @p233 :rule beta-reduce :args ((= (_ (lambda @t223 @t222) tptp.appointment) @t216))) % 168.83/169.87 (step @p234 :rule refl :args (tptp.appointment)) % 168.83/169.87 (step @p235 :rule aci_norm :args ((= (or @t224 @t221) @t222))) % 168.83/169.87 (step @p236 :rule refl :args (@t221)) % 168.83/169.87 (step @p237 :rule bool-double-not-elim :args (@t224)) % 168.83/169.87 (step @p238 :rule beta-reduce :args ((= @t227 @t225))) % 168.83/169.87 (step @p239 :rule cong :premises (@p238) :args (@t228)) % 168.83/169.87 (step @p240 :rule trans :premises (@p239 @p237)) % 168.83/169.87 (step @p241 :rule nary_cong :premises (@p240 @p236) :args (@t229)) % 168.83/169.87 (step @p242 :rule trans :premises (@p241 @p235)) % 168.83/169.87 (step @p243 :rule cong :premises (@p242) :args (@t230)) % 168.83/169.87 (step @p244 :rule beta-reduce :args ((= (_ @t233 @t226) @t230))) % 168.83/169.87 (step @p245 :rule trans :premises (@p244 @p243)) % 168.83/169.87 (step @p246 :rule beta-reduce :args ((= (_ @t235 tptp.time) @t226))) % 168.83/169.87 (step @p247 :rule beta-reduce :args ((= (_ @t237 tptp.place) @t235))) % 168.83/169.87 (step @p248 :rule ho_cong :premises (@p247 @p145)) % 168.83/169.87 (step @p249 :rule trans :premises (@p248 @p246)) % 168.83/169.87 (step @p250 :rule refl :args (@t233)) % 168.83/169.87 (step @p251 :rule ho_cong :premises (@p250 @p249)) % 168.83/169.87 (step @p252 :rule trans :premises (@p251 @p245)) % 168.83/169.87 (step @p253 :rule ho_cong :premises (@p252 @p234)) % 168.83/169.87 (step @p254 :rule trans :premises (@p253 @p233)) % 168.83/169.87 (step @p255 :rule ho_cong :premises (@p92 @p254)) % 168.83/169.87 (step @p256 :rule trans :premises (@p255 @p232)) % 168.83/169.87 (step @p257 :rule ho_cong :premises (@p95 @p256)) % 168.83/169.87 (step @p258 :rule trans :premises (@p257 @p202)) % 168.83/169.87 (step @p259 :rule ho_cong :premises (@p98 @p258)) % 168.83/169.87 (step @p260 :rule trans :premises (@p259 @p180)) % 168.83/169.87 (step @p261 :rule beta-reduce :args ((= (_ (lambda @t44 (not @t239)) @t2) @t236))) % 168.83/169.87 (step @p262 :rule refl :args (@t2)) % 168.83/169.87 (step @p263 :rule beta-reduce :args ((= @t241 @t239))) % 168.83/169.87 (step @p264 :rule cong :premises (@p263) :args (@t242)) % 168.83/169.87 (step @p265 :rule cong :premises (@p264) :args (@t243)) % 168.83/169.87 (step @p266 :rule beta-reduce :args ((= (_ @t22 @t240) @t243))) % 168.83/169.87 (step @p267 :rule trans :premises (@p266 @p265)) % 168.83/169.87 (step @p268 :rule beta-reduce :args ((= @t245 @t238))) % 168.83/169.87 (step @p269 :rule refl :args (@t20)) % 168.83/169.87 (step @p270 :rule nary_cong :premises (@p269 @p268) :args (@t246)) % 168.83/169.87 (step @p271 :rule cong :premises (@p270) :args (@t247)) % 168.83/169.87 (step @p272 :rule beta-reduce :args ((= (_ @t250 @t244) @t247))) % 168.83/169.87 (step @p273 :rule trans :premises (@p272 @p271)) % 168.83/169.87 (step @p274 :rule beta-reduce :args ((= (_ @t22 @t23) @t244))) % 168.83/169.87 (step @p275 :rule refl :args (@t24)) % 168.83/169.87 (step @p276 :rule beta-reduce :args ((= @t252 @t20))) % 168.83/169.87 (step @p277 :rule nary_cong :premises (@p276 @p275) :args (@t253)) % 168.83/169.87 (step @p278 :rule cong :premises (@p277) :args (@t254)) % 168.83/169.87 (step @p279 :rule beta-reduce :args ((= (_ @t25 @t251) @t254))) % 168.83/169.87 (step @p280 :rule trans :premises (@p279 @p278)) % 168.83/169.87 (step @p281 :rule beta-reduce :args ((= (_ @t22 @t18) @t251))) % 168.83/169.87 (step @p282 :rule refl :args (@t25)) % 168.83/169.87 (step @p283 :rule ho_cong :premises (@p282 @p281)) % 168.83/169.87 (step @p284 :rule trans :premises (@p283 @p280)) % 168.83/169.87 (step @p285 :rule ho_cong :premises (@p284 @p274)) % 168.83/169.87 (step @p286 :rule trans :premises (@p285 @p273)) % 168.83/169.87 (step @p287 :rule refl :args (@t22)) % 168.83/169.87 (step @p288 :rule ho_cong :premises (@p287 @p286)) % 168.83/169.87 (step @p289 :rule trans :premises (@p288 @p267)) % 168.83/169.87 (step @p290 :rule ho_cong :premises (@p289 @p262)) % 168.83/169.87 (step @p291 :rule trans :premises (@p290 @p261)) % 168.83/169.87 (step @p292 :rule refl :args (@t23)) % 168.83/169.87 (step @p293 :rule ho_cong :premises (@p18 @p292)) % 168.83/169.87 (step @p294 :rule refl :args (@t18)) % 168.83/169.87 (step @p295 :rule ho_cong :premises (@p18 @p294)) % 168.83/169.87 (step @p296 :rule ho_cong :premises (@p19 @p295)) % 168.83/169.87 (step @p297 :rule ho_cong :premises (@p296 @p293)) % 168.83/169.87 (step @p298 :rule ho_cong :premises (@p18 @p297)) % 168.83/169.87 (step @p299 :rule ho_cong :premises (@p298 @p262)) % 168.83/169.87 (step @p300 :rule trans :premises (@p299 @p291)) % 168.83/169.87 (step @p301 :rule cong :premises (@p300) :args (@t30)) % 168.83/169.87 (step @p302 :rule trans :premises (@p20 @p301)) % 168.83/169.87 (step @p303 :rule ho_cong :premises (@p302 @p91)) % 168.83/169.87 (step @p304 :rule ho_cong :premises (@p303 @p145)) % 168.83/169.87 (step @p305 :rule beta-reduce :args ((= (_ @t255 @t2) @t232))) % 168.83/169.87 (step @p306 :rule beta-reduce :args ((= (_ @t250 @t23) @t255))) % 168.83/169.87 (step @p307 :rule ho_cong :premises (@p284 @p292)) % 168.83/169.87 (step @p308 :rule trans :premises (@p307 @p306)) % 168.83/169.87 (step @p309 :rule ho_cong :premises (@p308 @p262)) % 168.83/169.87 (step @p310 :rule trans :premises (@p309 @p305)) % 168.83/169.87 (step @p311 :rule ho_cong :premises (@p296 @p292)) % 168.83/169.87 (step @p312 :rule ho_cong :premises (@p311 @p262)) % 168.83/169.87 (step @p313 :rule trans :premises (@p312 @p310)) % 168.83/169.87 (step @p314 :rule cong :premises (@p313) :args (@t31)) % 168.83/169.87 (step @p315 :rule trans :premises (@p21 @p314)) % 168.83/169.87 (step @p316 :rule ho_cong :premises (@p315 @p304)) % 168.83/169.87 (step @p317 :rule ho_cong :premises (@p316 @p234)) % 168.83/169.87 (step @p318 :rule ho_cong :premises (@p117 @p317)) % 168.83/169.87 (step @p319 :rule ho_cong :premises (@p120 @p318)) % 168.83/169.87 (step @p320 :rule ho_cong :premises (@p129 @p319)) % 168.83/169.87 (step @p321 :rule trans :premises (@p320 @p260)) % 168.83/169.87 (step @p322 :rule trans :premises (@p321 @p174)) % 168.83/169.87 (step @p323 :rule eq_resolve :premises (@p13 @p322)) % 168.83/169.87 (step @p324 :rule instantiate :premises (@p323) :args (@t154)) % 168.83/169.87 (step @p325 :rule cnf_or_pos :args (@t258)) % 168.83/169.87 (step @p326 :rule reordering :premises (@p325) :args ((or @t109 @t108 @t106 @t256 @t257 (not @t258)))) % 168.83/169.87 (step @p327 :rule chain_m_resolution :premises (@p326 @p324 @p173 @p136 @p134 @p57 @p56 @p51) :args (@t110 (@list false false false false true false false) (@list @t258 @t169 @t155 @t156 @t106 @t107 @t104))) % 168.83/169.87 (step @p328 :rule refl :args (@t259)) % 168.83/169.87 (step @p329 :rule bool-double-not-elim :args (@t101)) % 168.83/169.87 (step @p330 :rule nary_cong :premises (@p329 @p328) :args ((or (not @t260) @t259))) % 168.83/169.87 (assume-push @p480 @t260) % 168.83/169.87 (step @p332 :rule skolemize :premises (@p480)) % 168.83/169.87 (step-pop @p481 :rule scope :premises (@p332)) % 168.83/169.87 (step @p333 :rule process_scope :premises (@p481) :args (@t259)) % 168.83/169.87 (step @p335 :rule implies_elim :premises (@p333)) % 168.83/169.87 (step @p336 :rule eq_resolve :premises (@p335 @p330)) % 168.83/169.87 (step @p337 :rule chain_m_resolution :premises (@p336 @p327) :args (@t101 @t261 (@list @t110))) % 168.83/169.87 ; trust TRUST PREPROCESS_HO_ELIM % 168.83/169.87 (step @p338 :rule trust :premises () :args ((= @t262 (forall @t60 (_ @t94 (_ @t96 @t95 @t57) @t57))))) % 168.83/169.87 (step @p339 :rule beta-reduce :args ((= (_ @t168 tptp.john) @t262))) % 168.83/169.87 (step @p340 :rule ho_cong :premises (@p165 @p101)) % 168.83/169.87 (step @p341 :rule trans :premises (@p340 @p339)) % 168.83/169.87 (step @p342 :rule trans :premises (@p341 @p338)) % 168.83/169.87 (step @p343 :rule eq_resolve :premises (@p3 @p342)) % 168.83/169.87 (step @p344 :rule instantiate :premises (@p343) :args (@t268)) % 168.83/169.87 (step @p345 :rule instantiate :premises (@p169) :args (@t268)) % 168.83/169.87 ; trust TRUST PREPROCESS_HO_ELIM % 168.83/169.87 (step @p346 :rule trust :premises () :args ((= (not (and @t276 @t272)) (not (and @t101 @t266))))) % 168.83/169.87 (step @p347 :rule quant-merge-prenex :args ((= @t278 @t272))) % 168.83/169.87 (step @p348 :rule quant-merge-prenex :args ((= @t280 @t276))) % 168.83/169.87 (step @p349 :rule nary_cong :premises (@p348 @p347) :args ((and @t280 @t278))) % 168.83/169.87 (step @p350 :rule alpha_equiv :args (@t283 @t284 (@list @t264))) % 168.83/169.87 (step @p351 :rule alpha_equiv :args (@t287 @t284 (@list @t98))) % 168.83/169.87 (step @p352 :rule nary_cong :premises (@p351 @p350) :args (@t288)) % 168.83/169.87 (step @p353 :rule quant-miniscope-and :args ((= (forall @t44 (and @t286 @t282)) @t288))) % 168.83/169.87 (step @p354 :rule trans :premises (@p353 @p352)) % 168.83/169.87 (step @p355 :rule trans :premises (@p354 @p349)) % 168.83/169.87 (step @p356 :rule bool-double-not-elim :args (@t282)) % 168.83/169.87 (step @p357 :rule bool-double-not-elim :args (@t286)) % 168.83/169.87 (step @p358 :rule nary_cong :premises (@p357 @p356) :args ((and (not @t290) (not @t289)))) % 168.83/169.87 (step @p359 :rule bool-or-de-morgan :args (@t290 @t289 false)) % 168.83/169.87 (step @p360 :rule trans :premises (@p359 @p358)) % 168.83/169.87 (step @p361 :rule cong :premises (@p360) :args ((forall @t44 @t291))) % 168.83/169.87 (step @p362 :rule trans :premises (@p361 @p355)) % 168.83/169.87 (step @p363 :rule beta-reduce :args ((= @t296 @t291))) % 168.83/169.87 (step @p364 :rule cong :premises (@p363) :args (@t297)) % 168.83/169.87 (step @p365 :rule trans :premises (@p364 @p362)) % 168.83/169.87 (step @p366 :rule beta-reduce :args ((= (_ @t126 @t295) @t297))) % 168.83/169.87 (step @p367 :rule trans :premises (@p366 @p365)) % 168.83/169.87 (step @p368 :rule beta-reduce :args ((= @t299 @t292))) % 168.83/169.87 (step @p369 :rule cong :premises (@p368) :args (@t300)) % 168.83/169.87 (step @p370 :rule refl :args (@t294)) % 168.83/169.87 (step @p371 :rule nary_cong :premises (@p370 @p369) :args (@t301)) % 168.83/169.87 (step @p372 :rule cong :premises (@p371) :args (@t302)) % 168.83/169.87 (step @p373 :rule cong :premises (@p372) :args (@t303)) % 168.83/169.87 (step @p374 :rule beta-reduce :args ((= (_ (lambda @t223 (not (or @t294 @t234))) @t298) @t303))) % 168.83/169.87 (step @p375 :rule trans :premises (@p374 @p373)) % 168.83/169.87 (step @p376 :rule aci_norm :args ((= @t305 @t281))) % 168.83/169.87 (step @p377 :rule cong :premises (@p376) :args (@t306)) % 168.83/169.87 (step @p378 :rule quant-merge-prenex :args ((= (forall @t52 @t308) @t306))) % 168.83/169.87 (step @p379 :rule alpha_equiv :args (@t309 (@list @t263) @t311)) % 168.83/169.87 (step @p380 :rule nary_cong :premises (@p220 @p379) :args (@t312)) % 168.83/169.87 (step @p381 :rule quant-miniscope-or :args ((= @t308 @t312))) % 168.83/169.87 (step @p382 :rule trans :premises (@p381 @p380)) % 168.83/169.87 (step @p383 :rule symm :premises (@p382)) % 168.83/169.87 (step @p384 :rule cong :premises (@p383) :args ((forall @t52 (or @t140 @t315)))) % 168.83/169.87 (step @p385 :rule trans :premises (@p384 @p378)) % 168.83/169.87 (step @p386 :rule trans :premises (@p385 @p377)) % 168.83/169.87 (step @p387 :rule beta-reduce :args ((= (_ (lambda @t44 (forall @t314 (or (not (tptp.peter @t13 @t310)) @t313))) @t46) @t315))) % 168.83/169.87 (step @p388 :rule alpha_equiv :args (@t316 @t142 @t311)) % 168.83/169.87 (step @p389 :rule cong :premises (@p388) :args (@t317)) % 168.83/169.87 (step @p390 :rule ho_cong :premises (@p389 @p78)) % 168.83/169.87 (step @p391 :rule trans :premises (@p390 @p387)) % 168.83/169.87 (step @p392 :rule nary_cong :premises (@p225 @p391) :args (@t318)) % 168.83/169.87 (step @p393 :rule cong :premises (@p392) :args (@t319)) % 168.83/169.87 (step @p394 :rule trans :premises (@p393 @p386)) % 168.83/169.87 (step @p395 :rule cong :premises (@p394) :args (@t320)) % 168.83/169.87 (step @p396 :rule beta-reduce :args ((= (_ @t149 @t317) @t320))) % 168.83/169.87 (step @p397 :rule trans :premises (@p396 @p395)) % 168.83/169.87 (step @p398 :rule beta-reduce :args ((= (_ @t148 tptp.appointment) @t317))) % 168.83/169.87 (step @p399 :rule ho_cong :premises (@p95 @p234)) % 168.83/169.87 (step @p400 :rule trans :premises (@p399 @p398)) % 168.83/169.87 (step @p401 :rule ho_cong :premises (@p92 @p400)) % 168.83/169.87 (step @p402 :rule trans :premises (@p401 @p397)) % 168.83/169.87 (step @p403 :rule refl :args (@t234)) % 168.83/169.87 (step @p404 :rule beta-reduce :args ((= @t322 @t293))) % 168.83/169.87 (step @p405 :rule cong :premises (@p404) :args (@t323)) % 168.83/169.87 (step @p406 :rule nary_cong :premises (@p405 @p403) :args (@t324)) % 168.83/169.87 (step @p407 :rule cong :premises (@p406) :args (@t325)) % 168.83/169.87 (step @p408 :rule cong :premises (@p407) :args (@t326)) % 168.83/169.87 (step @p409 :rule beta-reduce :args ((= (_ @t237 @t321) @t326))) % 168.83/169.87 (step @p410 :rule trans :premises (@p409 @p408)) % 168.83/169.87 (step @p411 :rule aci_norm :args ((= @t328 @t285))) % 168.83/169.87 (step @p412 :rule cong :premises (@p411) :args (@t329)) % 168.83/169.87 (step @p413 :rule quant-merge-prenex :args ((= (forall @t52 @t331) @t329))) % 168.83/169.87 (step @p414 :rule alpha_equiv :args (@t332 (@list @t92) @t334)) % 168.83/169.87 (step @p415 :rule nary_cong :premises (@p69 @p414) :args (@t335)) % 168.83/169.87 (step @p416 :rule quant-miniscope-or :args ((= @t331 @t335))) % 168.83/169.87 (step @p417 :rule trans :premises (@p416 @p415)) % 168.83/169.87 (step @p418 :rule symm :premises (@p417)) % 168.83/169.87 (step @p419 :rule cong :premises (@p418) :args ((forall @t52 (or @t117 @t338)))) % 168.83/169.87 (step @p420 :rule trans :premises (@p419 @p413)) % 168.83/169.87 (step @p421 :rule trans :premises (@p420 @p412)) % 168.83/169.87 (step @p422 :rule beta-reduce :args ((= (_ (lambda @t44 (forall @t337 (or (not (tptp.john @t13 @t333)) @t336))) @t46) @t338))) % 168.83/169.87 (step @p423 :rule alpha_equiv :args (@t339 @t142 @t334)) % 168.83/169.87 (step @p424 :rule cong :premises (@p423) :args (@t340)) % 168.83/169.87 (step @p425 :rule ho_cong :premises (@p424 @p78)) % 168.83/169.87 (step @p426 :rule trans :premises (@p425 @p422)) % 168.83/169.87 (step @p427 :rule nary_cong :premises (@p83 @p426) :args (@t341)) % 168.83/169.87 (step @p428 :rule cong :premises (@p427) :args (@t342)) % 168.83/169.87 (step @p429 :rule trans :premises (@p428 @p421)) % 168.83/169.87 (step @p430 :rule cong :premises (@p429) :args (@t343)) % 168.83/169.87 (step @p431 :rule beta-reduce :args ((= (_ @t148 @t340) @t343))) % 168.83/169.87 (step @p432 :rule trans :premises (@p431 @p430)) % 168.83/169.87 (step @p433 :rule beta-reduce :args ((= (_ @t149 tptp.appointment) @t340))) % 168.83/169.87 (step @p434 :rule ho_cong :premises (@p92 @p234)) % 168.83/169.87 (step @p435 :rule trans :premises (@p434 @p433)) % 168.83/169.87 (step @p436 :rule ho_cong :premises (@p95 @p435)) % 168.83/169.87 (step @p437 :rule trans :premises (@p436 @p432)) % 168.83/169.87 (step @p438 :rule refl :args (@t237)) % 168.83/169.87 (step @p439 :rule ho_cong :premises (@p438 @p437)) % 168.83/169.87 (step @p440 :rule trans :premises (@p439 @p410)) % 168.83/169.87 (step @p441 :rule ho_cong :premises (@p440 @p402)) % 168.83/169.87 (step @p442 :rule trans :premises (@p441 @p375)) % 168.83/169.87 (step @p443 :rule ho_cong :premises (@p98 @p442)) % 168.83/169.87 (step @p444 :rule trans :premises (@p443 @p367)) % 168.83/169.87 (step @p445 :rule cong :premises (@p444) :args ((not (_ @t126 (_ (_ @t237 (_ @t153 (_ @t152 tptp.appointment))) (_ @t152 (_ @t153 tptp.appointment))))))) % 168.83/169.87 (step @p446 :rule ho_cong :premises (@p120 @p234)) % 168.83/169.87 (step @p447 :rule ho_cong :premises (@p117 @p446)) % 168.83/169.87 (step @p448 :rule ho_cong :premises (@p117 @p234)) % 168.83/169.87 (step @p449 :rule ho_cong :premises (@p120 @p448)) % 168.83/169.87 (step @p450 :rule ho_cong :premises (@p302 @p449)) % 168.83/169.87 (step @p451 :rule ho_cong :premises (@p450 @p447)) % 168.83/169.87 (step @p452 :rule ho_cong :premises (@p129 @p451)) % 168.83/169.87 (step @p453 :rule cong :premises (@p452) :args (@t10)) % 168.83/169.87 (step @p454 :rule trans :premises (@p453 @p445)) % 168.83/169.87 (step @p455 :rule trans :premises (@p454 @p346)) % 168.83/169.87 (step @p456 :rule eq_resolve :premises (@p14 @p455)) % 168.83/169.87 (step @p457 :rule not_and :premises (@p456)) % 168.83/169.87 (step @p458 :rule chain_m_resolution :premises (@p457 @p337) :args (@t344 @t261 (@list @t101))) % 168.83/169.87 (step @p459 :rule refl :args (@t348)) % 168.83/169.87 (step @p460 :rule bool-double-not-elim :args (@t266)) % 168.83/169.87 (step @p461 :rule nary_cong :premises (@p460 @p459) :args ((or (not @t344) @t348))) % 168.83/169.87 (assume-push @p482 @t344) % 168.83/169.87 (step @p463 :rule skolemize :premises (@p482)) % 168.83/169.87 (step-pop @p483 :rule scope :premises (@p463)) % 168.83/169.87 (step @p464 :rule process_scope :premises (@p483) :args (@t348)) % 168.83/169.87 (step @p466 :rule implies_elim :premises (@p464)) % 168.83/169.87 (step @p467 :rule eq_resolve :premises (@p466 @p461)) % 168.83/169.87 (step @p468 :rule chain_m_resolution :premises (@p467 @p458) :args (@t348 @t349 (@list @t266))) % 168.83/169.87 (step @p469 :rule cnf_or_neg :args (@t347 2)) % 168.83/169.87 (step @p470 :rule chain_m_resolution :premises (@p469 @p468) :args ((not @t345) @t349 (@list @t347))) % 168.83/169.87 (step @p471 :rule cnf_or_pos :args (@t354)) % 168.83/169.87 (step @p472 :rule reordering :premises (@p471) :args ((or @t345 @t353 @t351 @t355))) % 168.83/169.87 (step @p473 :rule chain_m_resolution :premises (@p472 @p470 @p345 @p344) :args (@t355 (@list true false false) (@list @t345 @t352 @t350))) % 168.83/169.87 (assume-push @p484 @t101) % 168.83/169.87 (step @p475 :rule instantiate :premises (@p484) :args ((@list @t267 @t267 @t267))) % 168.83/169.87 (step-pop @p485 :rule scope :premises (@p475)) % 168.83/169.87 (step @p476 :rule process_scope :premises (@p485) :args (@t354)) % 168.83/169.87 (step @p478 :rule implies_elim :premises (@p476)) % 168.83/169.87 (step @p479 false :rule chain_m_resolution :premises (@p478 @p473 @p337) :args (false (@list true false) (@list @t354 @t101))) % 168.83/169.87 ) % 168.83/169.87 % SZS output end Proof % 168.83/169.87 % cvc5 exiting %------------------------------------------------------------------------------