%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : AGT029^1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:04:47 AM UTC 2026 % Result : Theorem 150.87s 151.13s % Output : Proof 150.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : AGT029^1 : TPTP v9.2.1. Released v5.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.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 : Wed Jun 3 01:32:48 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.52 %----Proving TH0 % 150.87/151.13 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.87/151.13 --- 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... % 150.87/151.13 --- 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... % 150.87/151.13 --- Run --ho-elim --full-saturate-quant at 18s... % 150.87/151.13 % SZS status Theorem % 150.87/151.13 % SZS output start Proof % 150.87/151.13 ( % 150.87/151.13 (declare-sort $$unsorted 0) % 150.87/151.13 (declare-sort tptp.mu 0) % 150.87/151.13 (declare-const tptp.mike tptp.mu) % 150.87/151.13 (declare-const tptp.peter tptp.mu) % 150.87/151.13 (declare-const tptp.tom tptp.mu) % 150.87/151.13 (declare-const tptp.john tptp.mu) % 150.87/151.13 (declare-const tptp.physics_student (-> tptp.mu $$unsorted Bool)) % 150.87/151.13 (declare-const tptp.good_in_physics (-> tptp.mu $$unsorted Bool)) % 150.87/151.13 (declare-const tptp.mathematician (-> tptp.mu $$unsorted Bool)) % 150.87/151.13 (declare-const tptp.good_in_maths (-> tptp.mu $$unsorted Bool)) % 150.87/151.13 (declare-const tptp.r4 (-> $$unsorted $$unsorted Bool)) % 150.87/151.13 (declare-const tptp.maths_teacher (-> tptp.mu $$unsorted Bool)) % 150.87/151.13 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 150.87/151.13 (declare-const tptp.r5 (-> $$unsorted $$unsorted Bool)) % 150.87/151.13 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 150.87/151.13 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 150.87/151.13 (declare-const tptp.r3 (-> $$unsorted $$unsorted Bool)) % 150.87/151.13 (declare-const tptp.maths_student (-> tptp.mu $$unsorted Bool)) % 150.87/151.13 (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" $$unsorted)) (= _let_2 _let_1))))) % 150.87/151.13 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 150.87/151.13 (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)))))) % 150.87/151.13 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 150.87/151.13 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 150.87/151.13 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 150.87/151.13 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 150.87/151.13 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 150.87/151.13 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 150.87/151.13 (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))))))) % 150.87/151.13 (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))))))) % 150.87/151.13 (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)))))) % 150.87/151.13 (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)))))) % 150.87/151.13 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 150.87/151.13 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 150.87/151.13 (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)))))) % 150.87/151.13 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 150.87/151.13 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 150.87/151.13 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 150.87/151.13 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 150.87/151.13 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 150.87/151.13 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 150.87/151.13 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 150.87/151.13 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 150.87/151.13 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 150.87/151.13 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 150.87/151.13 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 150.87/151.13 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 150.87/151.13 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 150.87/151.13 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 150.87/151.13 (define @t1 () (@var "__flatten_var_0" $$unsorted)) % 150.87/151.13 (define @t2 () (@var "X" tptp.mu)) % 150.87/151.13 (define @t3 () (_ tptp.good_in_maths @t2)) % 150.87/151.13 (define @t4 () (_ tptp.mbox tptp.r4)) % 150.87/151.13 (define @t5 () (_ @t4 @t3)) % 150.87/151.13 (define @t6 () (_ tptp.maths_teacher @t2)) % 150.87/151.13 (define @t7 () (@list @t2 @t1)) % 150.87/151.13 (define @t8 () (lambda @t7 (_ (_ (_ tptp.mimplies @t6) @t5) @t1))) % 150.87/151.13 (define @t9 () (_ tptp.mbox tptp.r1)) % 150.87/151.13 (define @t10 () (_ tptp.mathematician @t2)) % 150.87/151.13 (define @t11 () (_ tptp.mbox tptp.r5)) % 150.87/151.13 (define @t12 () (_ tptp.mbox tptp.r2)) % 150.87/151.13 (define @t13 () (_ @t12 @t3)) % 150.87/151.13 (define @t14 () (_ tptp.mbox tptp.r3)) % 150.87/151.13 (define @t15 () (_ tptp.mdia tptp.r1)) % 150.87/151.13 (define @t16 () (_ tptp.mimplies (_ tptp.maths_student @t2))) % 150.87/151.13 (define @t17 () (_ tptp.mdia tptp.r2)) % 150.87/151.13 (define @t18 () (_ @t17 @t3)) % 150.87/151.13 (define @t19 () (_ tptp.mdia tptp.r3)) % 150.87/151.13 (define @t20 () (_ tptp.mdia tptp.r4)) % 150.87/151.13 (define @t21 () (_ tptp.mdia tptp.r5)) % 150.87/151.13 (define @t22 () (_ tptp.good_in_physics @t2)) % 150.87/151.13 (define @t23 () (_ tptp.mimplies (_ tptp.physics_student @t2))) % 150.87/151.13 (define @t24 () (_ tptp.maths_teacher tptp.john)) % 150.87/151.13 (define @t25 () (@var "Phi" (-> $$unsorted Bool))) % 150.87/151.13 (define @t26 () (_ tptp.mnot @t25)) % 150.87/151.13 (define @t27 () (_ @t9 @t25)) % 150.87/151.13 (define @t28 () (_ tptp.mimplies @t27)) % 150.87/151.13 (define @t29 () (@list @t25 @t1)) % 150.87/151.13 (define @t30 () (_ @t12 @t25)) % 150.87/151.13 (define @t31 () (_ tptp.mimplies @t30)) % 150.87/151.13 (define @t32 () (_ @t14 @t25)) % 150.87/151.13 (define @t33 () (_ tptp.mimplies @t32)) % 150.87/151.13 (define @t34 () (_ @t4 @t25)) % 150.87/151.13 (define @t35 () (_ tptp.mimplies @t34)) % 150.87/151.13 (define @t36 () (_ @t11 @t25)) % 150.87/151.13 (define @t37 () (_ tptp.mimplies @t36)) % 150.87/151.13 (define @t38 () (lambda @t29 (_ (_ @t35 @t30) @t1))) % 150.87/151.13 (define @t39 () (_ tptp.mnot @t27)) % 150.87/151.13 (define @t40 () (_ tptp.mnot @t30)) % 150.87/151.13 (define @t41 () (_ tptp.mnot @t32)) % 150.87/151.13 (define @t42 () (_ tptp.mnot @t34)) % 150.87/151.13 (define @t43 () (_ tptp.mnot @t36)) % 150.87/151.13 (define @t44 () (lambda @t7 (_ @t13 @t1))) % 150.87/151.13 (define @t45 () (not (_ tptp.mvalid (_ tptp.mexists_ind @t44)))) % 150.87/151.13 (define @t46 () (@var "Y" tptp.mu)) % 150.87/151.13 (define @t47 () (@var "W" $$unsorted)) % 150.87/151.13 (define @t48 () (lambda (@list @t2 @t46 @t47) (= @t2 @t46))) % 150.87/151.13 (define @t49 () (@var "Y" (-> $$unsorted Bool))) % 150.87/151.13 (define @t50 () (@var "X" (-> $$unsorted Bool))) % 150.87/151.13 (define @t51 () (lambda (@list @t50 @t49 @t47) (= (_ @t50 @t47) (_ @t49 @t47)))) % 150.87/151.13 (define @t52 () (_ @t25 @t47)) % 150.87/151.13 (define @t53 () (not @t52)) % 150.87/151.13 (define @t54 () (@list @t25 @t47)) % 150.87/151.13 (define @t55 () (lambda @t54 @t53)) % 150.87/151.13 (define @t56 () (@var "Psi" (-> $$unsorted Bool))) % 150.87/151.13 (define @t57 () (_ @t56 @t47)) % 150.87/151.13 (define @t58 () (lambda (@list @t25 @t56 @t47) (or @t52 @t57))) % 150.87/151.13 (define @t59 () (_ tptp.mnot @t56)) % 150.87/151.13 (define @t60 () (_ tptp.mor @t26)) % 150.87/151.13 (define @t61 () (@list @t25 @t56 @t1)) % 150.87/151.13 (define @t62 () (lambda @t61 (_ (_ tptp.mnot (_ @t60 @t59)) @t1))) % 150.87/151.13 (define @t63 () (lambda @t61 (_ (_ @t60 @t56) @t1))) % 150.87/151.13 (define @t64 () (lambda @t61 (_ (_ (_ tptp.mor @t59) @t25) @t1))) % 150.87/151.13 (define @t65 () (lambda @t61 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t25) @t56)) (_ (_ tptp.mimplies @t56) @t25)) @t1))) % 150.87/151.13 (define @t66 () (lambda @t61 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t25) @t56)) @t1))) % 150.87/151.13 (define @t67 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 150.87/151.13 (define @t68 () (_ @t67 @t2)) % 150.87/151.13 (define @t69 () (_ @t68 @t47)) % 150.87/151.13 (define @t70 () (@list @t2)) % 150.87/151.13 (define @t71 () (forall @t70 @t69)) % 150.87/151.13 (define @t72 () (@list @t67 @t47)) % 150.87/151.13 (define @t73 () (lambda @t72 @t71)) % 150.87/151.13 (define @t74 () (@var "P" (-> $$unsorted Bool))) % 150.87/151.13 (define @t75 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 150.87/151.13 (define @t76 () (_ @t75 @t74)) % 150.87/151.13 (define @t77 () (_ @t76 @t47)) % 150.87/151.13 (define @t78 () (@list @t74)) % 150.87/151.13 (define @t79 () (forall @t78 @t77)) % 150.87/151.13 (define @t80 () (@list @t75 @t47)) % 150.87/151.13 (define @t81 () (lambda @t80 @t79)) % 150.87/151.13 (define @t82 () (lambda @t7 (_ (_ tptp.mnot @t68) @t1))) % 150.87/151.13 (define @t83 () (@list @t67 @t1)) % 150.87/151.13 (define @t84 () (lambda @t83 (_ (_ tptp.mnot (_ tptp.mforall_ind @t82)) @t1))) % 150.87/151.13 (define @t85 () (lambda (@list @t75 @t1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t74 @t1) (_ (_ tptp.mnot @t76) @t1)))) @t1))) % 150.87/151.13 (define @t86 () (@list @t47)) % 150.87/151.13 (define @t87 () (lambda @t86 true)) % 150.87/151.13 (define @t88 () (@var "V" $$unsorted)) % 150.87/151.13 (define @t89 () (_ @t25 @t88)) % 150.87/151.13 (define @t90 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 150.87/151.13 (define @t91 () (_ (_ @t90 @t47) @t88)) % 150.87/151.13 (define @t92 () (not @t91)) % 150.87/151.13 (define @t93 () (or @t92 @t89)) % 150.87/151.13 (define @t94 () (@list @t88)) % 150.87/151.13 (define @t95 () (forall @t94 @t93)) % 150.87/151.13 (define @t96 () (@list @t90 @t25 @t47)) % 150.87/151.13 (define @t97 () (lambda @t96 @t95)) % 150.87/151.13 (define @t98 () (lambda (@list @t90 @t25 @t1) (_ (_ tptp.mnot (_ (_ tptp.mbox @t90) @t26)) @t1))) % 150.87/151.13 (define @t99 () (@var "S" $$unsorted)) % 150.87/151.13 (define @t100 () (_ @t90 @t99)) % 150.87/151.13 (define @t101 () (@list @t99)) % 150.87/151.13 (define @t102 () (@list @t90)) % 150.87/151.13 (define @t103 () (lambda @t102 (forall @t101 (_ @t100 @t99)))) % 150.87/151.13 (define @t104 () (@var "T" $$unsorted)) % 150.87/151.13 (define @t105 () (_ @t90 @t104)) % 150.87/151.13 (define @t106 () (_ @t100 @t104)) % 150.87/151.13 (define @t107 () (lambda @t102 (forall (@list @t99 @t104) (=> @t106 (_ @t105 @t99))))) % 150.87/151.13 (define @t108 () (@list @t104)) % 150.87/151.13 (define @t109 () (lambda @t102 (forall @t101 (exists @t108 @t106)))) % 150.87/151.13 (define @t110 () (@var "U" $$unsorted)) % 150.87/151.13 (define @t111 () (_ @t100 @t110)) % 150.87/151.13 (define @t112 () (_ @t105 @t110)) % 150.87/151.13 (define @t113 () (@list @t99 @t104 @t110)) % 150.87/151.13 (define @t114 () (lambda @t102 (forall @t113 (=> (and @t106 @t112) @t111)))) % 150.87/151.13 (define @t115 () (and @t106 @t111)) % 150.87/151.13 (define @t116 () (lambda @t102 (forall @t113 (=> @t115 @t112)))) % 150.87/151.13 (define @t117 () (= @t104 @t110)) % 150.87/151.13 (define @t118 () (lambda @t102 (forall @t113 (=> @t115 @t117)))) % 150.87/151.13 (define @t119 () (@list @t110)) % 150.87/151.13 (define @t120 () (lambda @t102 (forall @t101 (exists @t108 (and @t106 (forall @t119 (=> @t111 @t117))))))) % 150.87/151.13 (define @t121 () (_ @t90 @t110)) % 150.87/151.13 (define @t122 () (_ @t121 @t104)) % 150.87/151.13 (define @t123 () (lambda @t102 (forall @t113 (=> @t106 (exists @t119 (and @t111 @t122)))))) % 150.87/151.13 (define @t124 () (lambda @t102 (forall @t113 (=> @t115 (or @t112 @t117 @t122))))) % 150.87/151.13 (define @t125 () (lambda @t102 (forall @t113 (=> @t115 (exists @t94 (and (_ @t105 @t88) (_ @t121 @t88))))))) % 150.87/151.13 (define @t126 () (forall @t86 @t52)) % 150.87/151.13 (define @t127 () (@list @t25)) % 150.87/151.13 (define @t128 () (lambda @t127 @t126)) % 150.87/151.13 (define @t129 () (lambda @t127 (forall @t86 @t53))) % 150.87/151.13 (define @t130 () (lambda @t127 (exists @t86 @t52))) % 150.87/151.13 (define @t131 () (lambda @t127 (exists @t86 @t53))) % 150.87/151.13 (define @t132 () (@const 0 (@ho-elim-sort (-> tptp.mu $$unsorted Bool)))) % 150.87/151.13 (define @t133 () (@const 1 (-> (@ho-elim-sort (-> tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> $$unsorted Bool))))) % 150.87/151.13 (define @t134 () (_ @t133 @t132 tptp.john)) % 150.87/151.13 (define @t135 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.87/151.13 (define @t136 () (forall @t86 (_ @t135 @t134 @t47))) % 150.87/151.13 (define @t137 () (tptp.maths_teacher tptp.john @t47)) % 150.87/151.13 (define @t138 () (_ @t24 @t47)) % 150.87/151.13 (define @t139 () (_ @t24 @t47)) % 150.87/151.13 (define @t140 () (forall @t86 @t139)) % 150.87/151.13 (define @t141 () (_ @t25 @t47)) % 150.87/151.13 (define @t142 () (lambda @t127 (forall @t86 @t141))) % 150.87/151.13 (define @t143 () (@var "BOUND_VARIABLE_8834" $$unsorted)) % 150.87/151.13 (define @t144 () (@const 3 (@ho-elim-sort (-> tptp.mu $$unsorted Bool)))) % 150.87/151.13 (define @t145 () (_ @t133 @t144 @t2)) % 150.87/151.13 (define @t146 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.87/151.13 (define @t147 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 150.87/151.13 (define @t148 () (_ @t147 @t146 @t47)) % 150.87/151.13 (define @t149 () (@list @t47 @t2 @t143)) % 150.87/151.13 (define @t150 () (tptp.good_in_maths @t2 @t143)) % 150.87/151.13 (define @t151 () (not (tptp.r4 @t47 @t143))) % 150.87/151.13 (define @t152 () (tptp.maths_teacher @t2 @t47)) % 150.87/151.13 (define @t153 () (not @t152)) % 150.87/151.13 (define @t154 () (or @t153 @t151 @t150)) % 150.87/151.13 (define @t155 () (forall @t149 @t154)) % 150.87/151.13 (define @t156 () (@list @t2 @t143)) % 150.87/151.13 (define @t157 () (forall @t156 @t154)) % 150.87/151.13 (define @t158 () (lambda @t86 @t157)) % 150.87/151.13 (define @t159 () (_ @t158 @t47)) % 150.87/151.13 (define @t160 () (forall @t86 @t159)) % 150.87/151.13 (define @t161 () (or @t151 @t150)) % 150.87/151.13 (define @t162 () (or @t153 @t161)) % 150.87/151.13 (define @t163 () (forall @t156 @t162)) % 150.87/151.13 (define @t164 () (@list @t143)) % 150.87/151.13 (define @t165 () (forall @t164 @t162)) % 150.87/151.13 (define @t166 () (forall @t164 @t161)) % 150.87/151.13 (define @t167 () (@list @t88)) % 150.87/151.13 (define @t168 () (or @t153 @t166)) % 150.87/151.13 (define @t169 () (tptp.good_in_maths @t2 @t88)) % 150.87/151.13 (define @t170 () (not (tptp.r4 @t47 @t88))) % 150.87/151.13 (define @t171 () (forall @t94 (or @t170 @t169))) % 150.87/151.13 (define @t172 () (_ @t6 @t47)) % 150.87/151.13 (define @t173 () (not @t172)) % 150.87/151.13 (define @t174 () (or @t173 @t171)) % 150.87/151.13 (define @t175 () (not (tptp.r4 @t1 @t88))) % 150.87/151.13 (define @t176 () (forall @t94 (or @t175 @t169))) % 150.87/151.13 (define @t177 () (not (_ @t6 @t1))) % 150.87/151.13 (define @t178 () (or @t177 @t176)) % 150.87/151.13 (define @t179 () (lambda @t7 @t178)) % 150.87/151.13 (define @t180 () (_ @t179 @t2 @t47)) % 150.87/151.13 (define @t181 () (forall @t70 @t180)) % 150.87/151.13 (define @t182 () (lambda @t86 @t181)) % 150.87/151.13 (define @t183 () (_ @t67 @t2 @t47)) % 150.87/151.13 (define @t184 () (lambda @t72 (forall @t70 @t183))) % 150.87/151.13 (define @t185 () (@list @t1)) % 150.87/151.13 (define @t186 () (lambda @t86 @t171)) % 150.87/151.13 (define @t187 () (_ @t186 @t1)) % 150.87/151.13 (define @t188 () (or @t177 @t187)) % 150.87/151.13 (define @t189 () (lambda @t185 @t188)) % 150.87/151.13 (define @t190 () (_ @t56 @t1)) % 150.87/151.13 (define @t191 () (@list @t56 @t1)) % 150.87/151.13 (define @t192 () (lambda @t191 (or @t177 @t190))) % 150.87/151.13 (define @t193 () (_ @t3 @t88)) % 150.87/151.13 (define @t194 () (or @t170 @t193)) % 150.87/151.13 (define @t195 () (_ @t3 @t88)) % 150.87/151.13 (define @t196 () (or @t170 @t195)) % 150.87/151.13 (define @t197 () (forall @t94 @t196)) % 150.87/151.13 (define @t198 () (lambda @t86 @t197)) % 150.87/151.13 (define @t199 () (_ @t25 @t88)) % 150.87/151.13 (define @t200 () (forall @t94 (or @t170 @t199))) % 150.87/151.13 (define @t201 () (lambda @t54 @t200)) % 150.87/151.13 (define @t202 () (_ @t90 @t47 @t88)) % 150.87/151.13 (define @t203 () (lambda @t96 (forall @t94 (or (not @t202) @t199)))) % 150.87/151.13 (define @t204 () (_ @t203 tptp.r4)) % 150.87/151.13 (define @t205 () (or (not (_ @t25 @t1)) @t190)) % 150.87/151.13 (define @t206 () (lambda @t61 @t205)) % 150.87/151.13 (define @t207 () (_ @t206 @t6)) % 150.87/151.13 (define @t208 () (or @t53 @t57)) % 150.87/151.13 (define @t209 () (lambda @t86 @t208)) % 150.87/151.13 (define @t210 () (@list @t56 @t47)) % 150.87/151.13 (define @t211 () (lambda @t86 @t53)) % 150.87/151.13 (define @t212 () (_ @t211 @t47)) % 150.87/151.13 (define @t213 () (or @t212 @t57)) % 150.87/151.13 (define @t214 () (lambda @t210 @t213)) % 150.87/151.13 (define @t215 () (_ @t133 @t144 tptp.john)) % 150.87/151.13 (define @t216 () (_ @t135 @t215 @t88)) % 150.87/151.13 (define @t217 () (_ @t135 @t145 @t88)) % 150.87/151.13 (define @t218 () (@const 6 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.87/151.13 (define @t219 () (_ @t147 @t218 @t47)) % 150.87/151.13 (define @t220 () (forall @t86 (not (forall @t70 (not (forall @t94 (or (not (_ @t135 @t219 @t88)) @t217))))))) % 150.87/151.13 (define @t221 () (@quantifiers_skolemize @t220 0)) % 150.87/151.13 (define @t222 () (_ @t147 @t146 @t221)) % 150.87/151.13 (define @t223 () (forall @t94 (or (not (_ @t135 @t222 @t88)) @t216))) % 150.87/151.13 (define @t224 () (@quantifiers_skolemize @t223 0)) % 150.87/151.13 (define @t225 () (@var "BOUND_VARIABLE_10896" $$unsorted)) % 150.87/151.13 (define @t226 () (@var "BOUND_VARIABLE_13629" (@ho-elim-sort (-> $$unsorted Bool)))) % 150.87/151.13 (define @t227 () (_ @t74 @t225)) % 150.87/151.13 (define @t228 () (not (tptp.r2 @t47 @t225))) % 150.87/151.13 (define @t229 () (_ @t74 @t88)) % 150.87/151.13 (define @t230 () (not (forall @t94 (or @t170 @t229)))) % 150.87/151.13 (define @t231 () (or @t230 @t228 @t227)) % 150.87/151.13 (define @t232 () (forall (@list @t47 @t74 @t225) @t231)) % 150.87/151.13 (define @t233 () (@list @t74 @t225)) % 150.87/151.13 (define @t234 () (forall @t233 @t231)) % 150.87/151.13 (define @t235 () (lambda @t86 @t234)) % 150.87/151.13 (define @t236 () (_ @t235 @t47)) % 150.87/151.13 (define @t237 () (forall @t86 @t236)) % 150.87/151.13 (define @t238 () (or @t228 @t227)) % 150.87/151.13 (define @t239 () (or @t230 @t238)) % 150.87/151.13 (define @t240 () (forall @t233 @t239)) % 150.87/151.13 (define @t241 () (@list @t225)) % 150.87/151.13 (define @t242 () (forall @t241 @t239)) % 150.87/151.13 (define @t243 () (forall @t241 @t238)) % 150.87/151.13 (define @t244 () (or @t230 @t243)) % 150.87/151.13 (define @t245 () (not (tptp.r2 @t47 @t88))) % 150.87/151.13 (define @t246 () (or @t230 (forall @t94 (or @t245 @t229)))) % 150.87/151.13 (define @t247 () (not (tptp.r2 @t1 @t88))) % 150.87/151.13 (define @t248 () (forall @t94 (or @t247 @t199))) % 150.87/151.13 (define @t249 () (forall @t94 (or @t175 @t199))) % 150.87/151.13 (define @t250 () (not @t249)) % 150.87/151.13 (define @t251 () (or @t250 @t248)) % 150.87/151.13 (define @t252 () (lambda @t29 @t251)) % 150.87/151.13 (define @t253 () (_ @t252 @t74 @t47)) % 150.87/151.13 (define @t254 () (forall @t78 @t253)) % 150.87/151.13 (define @t255 () (lambda @t86 @t254)) % 150.87/151.13 (define @t256 () (_ @t75 @t74 @t47)) % 150.87/151.13 (define @t257 () (lambda @t80 (forall @t78 @t256))) % 150.87/151.13 (define @t258 () (forall @t94 (or @t245 @t199))) % 150.87/151.13 (define @t259 () (lambda @t86 @t258)) % 150.87/151.13 (define @t260 () (_ @t259 @t1)) % 150.87/151.13 (define @t261 () (or @t250 @t260)) % 150.87/151.13 (define @t262 () (lambda @t185 @t261)) % 150.87/151.13 (define @t263 () (lambda @t54 @t258)) % 150.87/151.13 (define @t264 () (_ @t203 tptp.r2)) % 150.87/151.13 (define @t265 () (lambda @t86 @t200)) % 150.87/151.13 (define @t266 () (_ @t265 @t1)) % 150.87/151.13 (define @t267 () (not @t266)) % 150.87/151.13 (define @t268 () (or @t267 @t190)) % 150.87/151.13 (define @t269 () (lambda @t191 @t268)) % 150.87/151.13 (define @t270 () (_ @t147 @t218 @t221)) % 150.87/151.13 (define @t271 () (not (_ @t135 @t270 @t88))) % 150.87/151.13 (define @t272 () (@quantifiers_skolemize (forall @t94 (or @t271 @t216)) 0)) % 150.87/151.13 (define @t273 () (not @t220)) % 150.87/151.13 (define @t274 () (forall @t94 (or @t245 @t169))) % 150.87/151.13 (define @t275 () (not (forall @t70 (not @t274)))) % 150.87/151.13 (define @t276 () (forall @t94 (or @t247 @t169))) % 150.87/151.13 (define @t277 () (lambda @t185 (not (forall @t70 (not @t276))))) % 150.87/151.13 (define @t278 () (_ @t277 @t47)) % 150.87/151.13 (define @t279 () (forall @t86 @t278)) % 150.87/151.13 (define @t280 () (lambda @t7 @t276)) % 150.87/151.13 (define @t281 () (_ @t280 @t2 @t1)) % 150.87/151.13 (define @t282 () (not @t281)) % 150.87/151.13 (define @t283 () (forall @t70 @t282)) % 150.87/151.13 (define @t284 () (not @t283)) % 150.87/151.13 (define @t285 () (lambda @t185 @t284)) % 150.87/151.13 (define @t286 () (not (forall @t70 (not (_ @t67 @t2 @t1))))) % 150.87/151.13 (define @t287 () (lambda @t83 @t286)) % 150.87/151.13 (define @t288 () (or @t245 @t193)) % 150.87/151.13 (define @t289 () (or @t245 @t195)) % 150.87/151.13 (define @t290 () (forall @t94 @t289)) % 150.87/151.13 (define @t291 () (lambda @t86 @t290)) % 150.87/151.13 (define @t292 () (lambda @t7 (_ (_ @t264 @t3) @t1))) % 150.87/151.13 (define @t293 () (forall @t70 (not @t183))) % 150.87/151.13 (define @t294 () (lambda @t86 @t293)) % 150.87/151.13 (define @t295 () (_ @t294 @t47)) % 150.87/151.13 (define @t296 () (not @t295)) % 150.87/151.13 (define @t297 () (lambda @t86 @t296)) % 150.87/151.13 (define @t298 () (not @t69)) % 150.87/151.13 (define @t299 () (not (_ @t68 @t1))) % 150.87/151.13 (define @t300 () (lambda @t7 @t299)) % 150.87/151.13 (define @t301 () (_ @t300 @t2 @t47)) % 150.87/151.13 (define @t302 () (forall @t70 @t301)) % 150.87/151.13 (define @t303 () (lambda @t86 @t302)) % 150.87/151.13 (define @t304 () (lambda @t86 @t298)) % 150.87/151.13 (define @t305 () (_ @t55 @t68)) % 150.87/151.13 (define @t306 () (forall @t70 (not (forall @t94 (or @t271 @t217))))) % 150.87/151.13 (define @t307 () (not (not @t306))) % 150.87/151.13 (define @t308 () (@list true)) % 150.87/151.13 (define @t309 () (_ @t135 @t215 @t272)) % 150.87/151.13 (define @t310 () (_ @t135 @t270 @t272)) % 150.87/151.13 (define @t311 () (not @t310)) % 150.87/151.13 (define @t312 () (or @t311 @t309)) % 150.87/151.13 (define @t313 () (@list @t312)) % 150.87/151.13 (define @t314 () (not @t223)) % 150.87/151.13 (define @t315 () (or @t314 @t311 @t309)) % 150.87/151.13 (define @t316 () (@list false true false)) % 150.87/151.13 (define @t317 () (_ @t135 @t215 @t224)) % 150.87/151.13 (define @t318 () (_ @t135 @t222 @t224)) % 150.87/151.13 (define @t319 () (not @t318)) % 150.87/151.13 (define @t320 () (or @t319 @t317)) % 150.87/151.13 (define @t321 () (@list @t320)) % 150.87/151.13 (define @t322 () (_ @t135 @t134 @t221)) % 150.87/151.13 (define @t323 () (not @t322)) % 150.87/151.13 (define @t324 () (or @t323 @t319 @t317)) % 150.87/151.13 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 150.87/151.13 (assume @p2 (_ tptp.mvalid (_ tptp.mforall_ind @t8))) % 150.87/151.13 (assume @p3 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t11 (_ (_ tptp.mimplies (_ @t9 @t10)) (_ @t9 @t3))) @t1))))) % 150.87/151.13 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t11 (_ (_ tptp.mimplies (_ @t12 @t10)) @t13)) @t1))))) % 150.87/151.13 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t11 (_ (_ tptp.mimplies (_ @t14 @t10)) (_ @t14 @t3))) @t1))))) % 150.87/151.13 (assume @p6 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t11 (_ (_ tptp.mimplies (_ @t4 @t10)) @t5)) @t1))))) % 150.87/151.13 (assume @p7 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t11 (_ (_ tptp.mimplies (_ @t11 @t10)) (_ @t11 @t3))) @t1))))) % 150.87/151.13 (assume @p8 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t14 (_ @t16 (_ @t15 @t3))) @t1))))) % 150.87/151.13 (assume @p9 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t14 (_ @t16 @t18)) @t1))))) % 150.87/151.13 (assume @p10 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t14 (_ @t16 (_ @t19 @t3))) @t1))))) % 150.87/151.13 (assume @p11 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t14 (_ @t16 (_ @t20 @t3))) @t1))))) % 150.87/151.13 (assume @p12 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t14 (_ @t16 (_ @t21 @t3))) @t1))))) % 150.87/151.13 (assume @p13 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t14 (_ @t23 (_ @t15 @t22))) @t1))))) % 150.87/151.13 (assume @p14 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t14 (_ @t23 (_ @t17 @t22))) @t1))))) % 150.87/151.13 (assume @p15 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t14 (_ @t23 (_ @t19 @t22))) @t1))))) % 150.87/151.13 (assume @p16 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t14 (_ @t23 (_ @t20 @t22))) @t1))))) % 150.87/151.13 (assume @p17 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t14 (_ @t23 (_ @t21 @t22))) @t1))))) % 150.87/151.13 (assume @p18 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t12 (_ (_ tptp.mimplies @t22) @t18)) @t1))))) % 150.87/151.13 (assume @p19 (_ tptp.mvalid @t24)) % 150.87/151.13 (assume @p20 (_ tptp.mvalid (_ @t12 (_ tptp.mathematician tptp.tom)))) % 150.87/151.13 (assume @p21 (_ tptp.mvalid (_ @t11 (_ tptp.maths_student tptp.peter)))) % 150.87/151.13 (assume @p22 (_ tptp.mvalid (_ @t11 (_ tptp.physics_student tptp.mike)))) % 150.87/151.13 (assume @p23 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t28 (_ tptp.mnot (_ @t9 @t26))) @t1))))) % 150.87/151.13 (assume @p24 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t31 (_ tptp.mnot (_ @t12 @t26))) @t1))))) % 150.87/151.13 (assume @p25 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t33 (_ tptp.mnot (_ @t14 @t26))) @t1))))) % 150.87/151.13 (assume @p26 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t35 (_ tptp.mnot (_ @t4 @t26))) @t1))))) % 150.87/151.13 (assume @p27 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t37 (_ tptp.mnot (_ @t11 @t26))) @t1))))) % 150.87/151.13 (assume @p28 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t31 @t27) @t1))))) % 150.87/151.13 (assume @p29 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t33 @t27) @t1))))) % 150.87/151.13 (assume @p30 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t35 @t27) @t1))))) % 150.87/151.13 (assume @p31 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t37 @t27) @t1))))) % 150.87/151.13 (assume @p32 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t33 @t30) @t1))))) % 150.87/151.13 (assume @p33 (_ tptp.mvalid (_ tptp.mforall_prop @t38))) % 150.87/151.13 (assume @p34 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t37 @t30) @t1))))) % 150.87/151.13 (assume @p35 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t35 @t32) @t1))))) % 150.87/151.13 (assume @p36 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t37 @t32) @t1))))) % 150.87/151.13 (assume @p37 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t37 @t34) @t1))))) % 150.87/151.13 (assume @p38 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t28 (_ @t9 @t27)) @t1))))) % 150.87/151.13 (assume @p39 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t28 (_ @t12 @t27)) @t1))))) % 150.87/151.13 (assume @p40 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t28 (_ @t14 @t27)) @t1))))) % 150.87/151.13 (assume @p41 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t28 (_ @t4 @t27)) @t1))))) % 150.87/151.13 (assume @p42 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t28 (_ @t11 @t27)) @t1))))) % 150.87/151.13 (assume @p43 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t31 (_ @t9 @t30)) @t1))))) % 150.87/151.13 (assume @p44 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t31 (_ @t12 @t30)) @t1))))) % 150.87/151.13 (assume @p45 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t31 (_ @t14 @t30)) @t1))))) % 150.87/151.13 (assume @p46 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t31 (_ @t4 @t30)) @t1))))) % 150.87/151.13 (assume @p47 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t31 (_ @t11 @t30)) @t1))))) % 150.87/151.13 (assume @p48 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t33 (_ @t9 @t32)) @t1))))) % 150.87/151.13 (assume @p49 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t33 (_ @t12 @t32)) @t1))))) % 150.87/151.13 (assume @p50 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t33 (_ @t14 @t32)) @t1))))) % 150.87/151.13 (assume @p51 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t33 (_ @t4 @t32)) @t1))))) % 150.87/151.13 (assume @p52 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t33 (_ @t11 @t32)) @t1))))) % 150.87/151.13 (assume @p53 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t35 (_ @t9 @t34)) @t1))))) % 150.87/151.13 (assume @p54 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t35 (_ @t12 @t34)) @t1))))) % 150.87/151.13 (assume @p55 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t35 (_ @t14 @t34)) @t1))))) % 150.87/151.13 (assume @p56 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t35 (_ @t4 @t34)) @t1))))) % 150.87/151.13 (assume @p57 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t35 (_ @t11 @t34)) @t1))))) % 150.87/151.13 (assume @p58 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t37 (_ @t9 @t36)) @t1))))) % 150.87/151.13 (assume @p59 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t37 (_ @t12 @t36)) @t1))))) % 150.87/151.13 (assume @p60 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t37 (_ @t14 @t36)) @t1))))) % 150.87/151.13 (assume @p61 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t37 (_ @t4 @t36)) @t1))))) % 150.87/151.13 (assume @p62 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ @t37 (_ @t11 @t36)) @t1))))) % 150.87/151.13 (assume @p63 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ (_ tptp.mimplies @t39) (_ @t9 @t39)) @t1))))) % 150.87/151.13 (assume @p64 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ (_ tptp.mimplies @t40) (_ @t12 @t40)) @t1))))) % 150.87/151.13 (assume @p65 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ (_ tptp.mimplies @t41) (_ @t14 @t41)) @t1))))) % 150.87/151.13 (assume @p66 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ (_ tptp.mimplies @t42) (_ @t4 @t42)) @t1))))) % 150.87/151.13 (assume @p67 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t29 (_ (_ (_ tptp.mimplies @t43) (_ @t11 @t43)) @t1))))) % 150.87/151.13 (assume @p68 @t45) % 150.87/151.13 (assume @p69 true) % 150.87/151.13 (step @p70 (= tptp.meq_ind @t48) :rule refl :args (@t48)) % 150.87/151.13 (step @p71 (= tptp.meq_prop @t51) :rule refl :args (@t51)) % 150.87/151.13 (step @p72 (= tptp.mnot @t55) :rule refl :args (@t55)) % 150.87/151.13 (step @p73 (= tptp.mor @t58) :rule refl :args (@t58)) % 150.87/151.13 (step @p74 (= tptp.mand @t62) :rule refl :args (@t62)) % 150.87/151.13 (step @p75 (= tptp.mimplies @t63) :rule refl :args (@t63)) % 150.87/151.13 (step @p76 (= tptp.mimplied @t64) :rule refl :args (@t64)) % 150.87/151.13 (step @p77 (= tptp.mequiv @t65) :rule refl :args (@t65)) % 150.87/151.13 (step @p78 (= tptp.mxor @t66) :rule refl :args (@t66)) % 150.87/151.13 (step @p79 (= tptp.mforall_ind @t73) :rule refl :args (@t73)) % 150.87/151.13 (step @p80 (= tptp.mforall_prop @t81) :rule refl :args (@t81)) % 150.87/151.13 (step @p81 (= tptp.mexists_ind @t84) :rule refl :args (@t84)) % 150.87/151.13 (step @p82 (= tptp.mexists_prop @t85) :rule refl :args (@t85)) % 150.87/151.13 (step @p83 (= tptp.mtrue @t87) :rule refl :args (@t87)) % 150.87/151.13 (step @p84 (= tptp.mbox @t97) :rule refl :args (@t97)) % 150.87/151.13 (step @p85 (= tptp.mdia @t98) :rule refl :args (@t98)) % 150.87/151.13 (step @p86 (= tptp.mreflexive @t103) :rule refl :args (@t103)) % 150.87/151.13 (step @p87 (= tptp.msymmetric @t107) :rule refl :args (@t107)) % 150.87/151.13 (step @p88 (= tptp.mserial @t109) :rule refl :args (@t109)) % 150.87/151.13 (step @p89 (= tptp.mtransitive @t114) :rule refl :args (@t114)) % 150.87/151.13 (step @p90 (= tptp.meuclidean @t116) :rule refl :args (@t116)) % 150.87/151.13 (step @p91 (= tptp.mpartially_functional @t118) :rule refl :args (@t118)) % 150.87/151.13 (step @p92 (= tptp.mfunctional @t120) :rule refl :args (@t120)) % 150.87/151.13 (step @p93 (= tptp.mweakly_dense @t123) :rule refl :args (@t123)) % 150.87/151.13 (step @p94 (= tptp.mweakly_connected @t124) :rule refl :args (@t124)) % 150.87/151.13 (step @p95 (= tptp.mweakly_directed @t125) :rule refl :args (@t125)) % 150.87/151.13 (step @p96 (= tptp.mvalid @t128) :rule refl :args (@t128)) % 150.87/151.13 (step @p97 (= tptp.minvalid @t129) :rule refl :args (@t129)) % 150.87/151.13 (step @p98 (= tptp.msatisfiable @t130) :rule refl :args (@t130)) % 150.87/151.13 (step @p99 (= tptp.mcountersatisfiable @t131) :rule refl :args (@t131)) % 150.87/151.13 ; WARNING: add trust step for TRUST % 150.87/151.13 ; trust TRUST PREPROCESS_HO_ELIM % 150.87/151.13 (step @p100 :rule trust :premises () :args ((= (forall @t86 @t137) @t136))) % 150.87/151.13 (step @p101 :rule refl :args (@t137)) % 150.87/151.13 (step @p102 :rule refl :args (@t138)) % 150.87/151.13 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t138 @t137))) % 150.87/151.13 (step @p104 :rule symm :premises (@p103)) % 150.87/151.13 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 150.87/151.13 (step @p106 :rule cong :premises (@p105) :args ((forall @t86 @t138))) % 150.87/151.13 (step @p107 :rule refl :args (@t139)) % 150.87/151.13 (step @p108 :rule cong :premises (@p107) :args (@t140)) % 150.87/151.13 (step @p109 :rule trans :premises (@p108 @p106)) % 150.87/151.13 (step @p110 :rule beta-reduce :args ((= (_ @t142 @t24) @t140))) % 150.87/151.13 (step @p111 :rule trans :premises (@p110 @p109)) % 150.87/151.13 (step @p112 :rule refl :args (@t24)) % 150.87/151.13 (step @p113 :rule refl :args (@t141)) % 150.87/151.13 (step @p114 :rule refl :args (@t52)) % 150.87/151.13 (step @p115 :rule cong :premises (@p114 @p113) :args ((= @t52 @t141))) % 150.87/151.13 (step @p116 :rule symm :premises (@p115)) % 150.87/151.13 (step @p117 :rule eq_resolve :premises (@p114 @p116)) % 150.87/151.13 (step @p118 :rule cong :premises (@p117) :args (@t126)) % 150.87/151.13 (step @p119 :rule cong :premises (@p118) :args (@t128)) % 150.87/151.13 (step @p120 :rule trans :premises (@p96 @p119)) % 150.87/151.13 (step @p121 :rule ho_cong :premises (@p120 @p112)) % 150.87/151.13 (step @p122 :rule trans :premises (@p121 @p111)) % 150.87/151.13 (step @p123 :rule trans :premises (@p122 @p100)) % 150.87/151.13 (step @p124 :rule eq_resolve :premises (@p19 @p123)) % 150.87/151.13 ; trust TRUST PREPROCESS_HO_ELIM % 150.87/151.13 (step @p125 :rule trust :premises () :args ((= @t155 (forall @t149 (or (not (_ @t135 (_ @t133 @t132 @t2) @t47)) (not (_ @t135 @t148 @t143)) (_ @t135 @t145 @t143)))))) % 150.87/151.13 (step @p126 :rule quant-merge-prenex :args ((= (forall @t86 @t157) @t155))) % 150.87/151.13 (step @p127 :rule beta-reduce :args ((= @t159 @t157))) % 150.87/151.13 (step @p128 :rule cong :premises (@p127) :args (@t160)) % 150.87/151.13 (step @p129 :rule trans :premises (@p128 @p126)) % 150.87/151.13 (step @p130 :rule beta-reduce :args ((= (_ @t142 @t158) @t160))) % 150.87/151.13 (step @p131 :rule trans :premises (@p130 @p129)) % 150.87/151.13 (step @p132 :rule aci_norm :args ((= @t162 @t154))) % 150.87/151.13 (step @p133 :rule cong :premises (@p132) :args (@t163)) % 150.87/151.13 (step @p134 :rule quant-merge-prenex :args ((= (forall @t70 @t165) @t163))) % 150.87/151.13 (step @p135 :rule alpha_equiv :args (@t166 (@list @t143) @t167)) % 150.87/151.13 (step @p136 :rule refl :args (@t153)) % 150.87/151.13 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t168)) % 150.87/151.13 (step @p138 :rule quant-miniscope-or :args ((= @t165 @t168))) % 150.87/151.13 (step @p139 :rule trans :premises (@p138 @p137)) % 150.87/151.13 (step @p140 :rule symm :premises (@p139)) % 150.87/151.13 (step @p141 :rule cong :premises (@p140) :args ((forall @t70 (or @t153 @t171)))) % 150.87/151.13 (step @p142 :rule trans :premises (@p141 @p134)) % 150.87/151.13 (step @p143 :rule trans :premises (@p142 @p133)) % 150.87/151.13 (step @p144 :rule refl :args (@t171)) % 150.87/151.13 (step @p145 :rule refl :args (@t152)) % 150.87/151.13 (step @p146 :rule refl :args (@t172)) % 150.87/151.13 (step @p147 :rule cong :premises (@p146 @p145) :args ((= @t172 @t152))) % 150.87/151.13 (step @p148 :rule symm :premises (@p147)) % 150.87/151.13 (step @p149 :rule eq_resolve :premises (@p146 @p148)) % 150.87/151.13 (step @p150 :rule cong :premises (@p149) :args (@t173)) % 150.87/151.13 (step @p151 :rule nary_cong :premises (@p150 @p144) :args (@t174)) % 150.87/151.13 (step @p152 :rule cong :premises (@p151) :args ((forall @t70 @t174))) % 150.87/151.13 (step @p153 :rule trans :premises (@p152 @p143)) % 150.87/151.13 (step @p154 :rule beta-reduce :args ((= @t180 @t174))) % 150.87/151.13 (step @p155 :rule cong :premises (@p154) :args (@t181)) % 150.87/151.13 (step @p156 :rule trans :premises (@p155 @p153)) % 150.87/151.13 (step @p157 :rule cong :premises (@p156) :args (@t182)) % 150.87/151.13 (step @p158 :rule beta-reduce :args ((= (_ @t184 @t179) @t182))) % 150.87/151.13 (step @p159 :rule trans :premises (@p158 @p157)) % 150.87/151.13 (step @p160 :rule beta-reduce :args ((= (_ (lambda @t185 @t178) @t1) @t178))) % 150.87/151.13 (step @p161 :rule refl :args (@t1)) % 150.87/151.13 (step @p162 :rule beta-reduce :args ((= @t187 @t176))) % 150.87/151.13 (step @p163 :rule refl :args (@t177)) % 150.87/151.13 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t188)) % 150.87/151.13 (step @p165 :rule cong :premises (@p164) :args (@t189)) % 150.87/151.13 (step @p166 :rule beta-reduce :args ((= (_ @t192 @t186) @t189))) % 150.87/151.13 (step @p167 :rule trans :premises (@p166 @p165)) % 150.87/151.13 (step @p168 :rule refl :args (@t169)) % 150.87/151.13 (step @p169 :rule refl :args (@t193)) % 150.87/151.13 (step @p170 :rule cong :premises (@p169 @p168) :args ((= @t193 @t169))) % 150.87/151.13 (step @p171 :rule symm :premises (@p170)) % 150.87/151.13 (step @p172 :rule eq_resolve :premises (@p169 @p171)) % 150.87/151.13 (step @p173 :rule refl :args (@t170)) % 150.87/151.13 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t194)) % 150.87/151.13 (step @p175 :rule cong :premises (@p174) :args ((forall @t94 @t194))) % 150.87/151.13 (step @p176 :rule refl :args (@t195)) % 150.87/151.13 (step @p177 :rule refl :args (@t170)) % 150.87/151.13 (step @p178 :rule nary_cong :premises (@p177 @p176) :args (@t196)) % 150.87/151.13 (step @p179 :rule cong :premises (@p178) :args (@t197)) % 150.87/151.13 (step @p180 :rule trans :premises (@p179 @p175)) % 150.87/151.13 (step @p181 :rule cong :premises (@p180) :args (@t198)) % 150.87/151.13 (step @p182 :rule beta-reduce :args ((= (_ @t201 @t3) @t198))) % 150.87/151.13 (step @p183 :rule trans :premises (@p182 @p181)) % 150.87/151.13 (step @p184 :rule refl :args (@t3)) % 150.87/151.13 (step @p185 :rule beta-reduce :args ((= @t204 @t201))) % 150.87/151.13 (step @p186 :rule ho_cong :premises (@p185 @p184)) % 150.87/151.13 (step @p187 :rule trans :premises (@p186 @p183)) % 150.87/151.13 (step @p188 :rule beta-reduce :args ((= @t207 @t192))) % 150.87/151.13 (step @p189 :rule ho_cong :premises (@p188 @p187)) % 150.87/151.13 (step @p190 :rule trans :premises (@p189 @p167)) % 150.87/151.13 (step @p191 :rule ho_cong :premises (@p190 @p161)) % 150.87/151.13 (step @p192 :rule trans :premises (@p191 @p160)) % 150.87/151.13 (step @p193 :rule cong :premises (@p192) :args ((lambda @t7 (_ (_ @t207 (_ @t204 @t3)) @t1)))) % 150.87/151.13 (step @p194 :rule refl :args (@t184)) % 150.87/151.13 (step @p195 :rule ho_cong :premises (@p194 @p193)) % 150.87/151.13 (step @p196 :rule trans :premises (@p195 @p159)) % 150.87/151.13 (step @p197 :rule refl :args (@t142)) % 150.87/151.13 (step @p198 :rule ho_cong :premises (@p197 @p196)) % 150.87/151.13 (step @p199 :rule trans :premises (@p198 @p131)) % 150.87/151.13 (step @p200 :rule refl :args (tptp.r4)) % 150.87/151.13 (step @p201 :rule refl :args (@t199)) % 150.87/151.13 (step @p202 :rule refl :args (@t89)) % 150.87/151.13 (step @p203 :rule cong :premises (@p202 @p201) :args ((= @t89 @t199))) % 150.87/151.13 (step @p204 :rule symm :premises (@p203)) % 150.87/151.13 (step @p205 :rule eq_resolve :premises (@p202 @p204)) % 150.87/151.13 (step @p206 :rule refl :args (@t202)) % 150.87/151.13 (step @p207 :rule refl :args (@t91)) % 150.87/151.13 (step @p208 :rule cong :premises (@p207 @p206) :args ((= @t91 @t202))) % 150.87/151.13 (step @p209 :rule symm :premises (@p208)) % 150.87/151.13 (step @p210 :rule eq_resolve :premises (@p207 @p209)) % 150.87/151.13 (step @p211 :rule cong :premises (@p210) :args (@t92)) % 150.87/151.13 (step @p212 :rule nary_cong :premises (@p211 @p205) :args (@t93)) % 150.87/151.13 (step @p213 :rule cong :premises (@p212) :args (@t95)) % 150.87/151.13 (step @p214 :rule cong :premises (@p213) :args (@t97)) % 150.87/151.13 (step @p215 :rule trans :premises (@p84 @p214)) % 150.87/151.13 (step @p216 :rule ho_cong :premises (@p215 @p200)) % 150.87/151.13 (step @p217 :rule ho_cong :premises (@p216 @p184)) % 150.87/151.13 (step @p218 :rule refl :args (@t6)) % 150.87/151.13 (step @p219 :rule beta-reduce :args ((= (_ @t209 @t1) @t205))) % 150.87/151.13 (step @p220 :rule beta-reduce :args ((= (_ (lambda @t210 @t208) @t56) @t209))) % 150.87/151.13 (step @p221 :rule refl :args (@t56)) % 150.87/151.13 (step @p222 :rule refl :args (@t57)) % 150.87/151.13 (step @p223 :rule beta-reduce :args ((= @t212 @t53))) % 150.87/151.13 (step @p224 :rule nary_cong :premises (@p223 @p222) :args (@t213)) % 150.87/151.13 (step @p225 :rule cong :premises (@p224) :args (@t214)) % 150.87/151.13 (step @p226 :rule beta-reduce :args ((= (_ @t58 @t211) @t214))) % 150.87/151.13 (step @p227 :rule trans :premises (@p226 @p225)) % 150.87/151.13 (step @p228 :rule beta-reduce :args ((= (_ @t55 @t25) @t211))) % 150.87/151.13 (step @p229 :rule refl :args (@t58)) % 150.87/151.13 (step @p230 :rule ho_cong :premises (@p229 @p228)) % 150.87/151.13 (step @p231 :rule trans :premises (@p230 @p227)) % 150.87/151.13 (step @p232 :rule ho_cong :premises (@p231 @p221)) % 150.87/151.13 (step @p233 :rule trans :premises (@p232 @p220)) % 150.87/151.13 (step @p234 :rule ho_cong :premises (@p233 @p161)) % 150.87/151.13 (step @p235 :rule trans :premises (@p234 @p219)) % 150.87/151.13 (step @p236 :rule refl :args (@t25)) % 150.87/151.13 (step @p237 :rule ho_cong :premises (@p72 @p236)) % 150.87/151.13 (step @p238 :rule ho_cong :premises (@p73 @p237)) % 150.87/151.13 (step @p239 :rule ho_cong :premises (@p238 @p221)) % 150.87/151.13 (step @p240 :rule ho_cong :premises (@p239 @p161)) % 150.87/151.13 (step @p241 :rule trans :premises (@p240 @p235)) % 150.87/151.13 (step @p242 :rule cong :premises (@p241) :args (@t63)) % 150.87/151.13 (step @p243 :rule trans :premises (@p75 @p242)) % 150.87/151.13 (step @p244 :rule ho_cong :premises (@p243 @p218)) % 150.87/151.13 (step @p245 :rule ho_cong :premises (@p244 @p217)) % 150.87/151.13 (step @p246 :rule ho_cong :premises (@p245 @p161)) % 150.87/151.13 (step @p247 :rule cong :premises (@p246) :args (@t8)) % 150.87/151.13 (step @p248 :rule refl :args (@t183)) % 150.87/151.13 (step @p249 :rule refl :args (@t69)) % 150.87/151.13 (step @p250 :rule cong :premises (@p249 @p248) :args ((= @t69 @t183))) % 150.87/151.13 (step @p251 :rule symm :premises (@p250)) % 150.87/151.13 (step @p252 :rule eq_resolve :premises (@p249 @p251)) % 150.87/151.13 (step @p253 :rule cong :premises (@p252) :args (@t71)) % 150.87/151.13 (step @p254 :rule cong :premises (@p253) :args (@t73)) % 150.87/151.13 (step @p255 :rule trans :premises (@p79 @p254)) % 150.87/151.13 (step @p256 :rule ho_cong :premises (@p255 @p247)) % 150.87/151.13 (step @p257 :rule ho_cong :premises (@p120 @p256)) % 150.87/151.13 (step @p258 :rule trans :premises (@p257 @p199)) % 150.87/151.13 (step @p259 :rule trans :premises (@p258 @p125)) % 150.87/151.13 (step @p260 :rule eq_resolve :premises (@p2 @p259)) % 150.87/151.13 (step @p261 :rule instantiate :premises (@p260) :args ((@list @t221 tptp.john @t224))) % 150.87/151.13 ; trust TRUST PREPROCESS_HO_ELIM % 150.87/151.13 (step @p262 :rule trust :premises () :args ((= @t232 (forall (@list @t47 @t226 @t225) (or (not (forall @t94 (or (not (_ @t135 @t148 @t88)) (_ @t135 @t226 @t88)))) (not (_ @t135 @t219 @t225)) (_ @t135 @t226 @t225)))))) % 150.87/151.13 (step @p263 :rule quant-merge-prenex :args ((= (forall @t86 @t234) @t232))) % 150.87/151.13 (step @p264 :rule beta-reduce :args ((= @t236 @t234))) % 150.87/151.13 (step @p265 :rule cong :premises (@p264) :args (@t237)) % 150.87/151.13 (step @p266 :rule trans :premises (@p265 @p263)) % 150.87/151.13 (step @p267 :rule beta-reduce :args ((= (_ @t142 @t235) @t237))) % 150.87/151.13 (step @p268 :rule trans :premises (@p267 @p266)) % 150.87/151.13 (step @p269 :rule aci_norm :args ((= @t239 @t231))) % 150.87/151.13 (step @p270 :rule cong :premises (@p269) :args (@t240)) % 150.87/151.13 (step @p271 :rule quant-merge-prenex :args ((= (forall @t78 @t242) @t240))) % 150.87/151.13 (step @p272 :rule alpha_equiv :args (@t243 (@list @t225) @t167)) % 150.87/151.13 (step @p273 :rule refl :args (@t230)) % 150.87/151.13 (step @p274 :rule nary_cong :premises (@p273 @p272) :args (@t244)) % 150.87/151.13 (step @p275 :rule quant-miniscope-or :args ((= @t242 @t244))) % 150.87/151.13 (step @p276 :rule trans :premises (@p275 @p274)) % 150.87/151.13 (step @p277 :rule symm :premises (@p276)) % 150.87/151.13 (step @p278 :rule cong :premises (@p277) :args ((forall @t78 @t246))) % 150.87/151.13 (step @p279 :rule trans :premises (@p278 @p271)) % 150.87/151.13 (step @p280 :rule trans :premises (@p279 @p270)) % 150.87/151.13 (step @p281 :rule beta-reduce :args ((= @t253 @t246))) % 150.87/151.13 (step @p282 :rule cong :premises (@p281) :args (@t254)) % 150.87/151.13 (step @p283 :rule trans :premises (@p282 @p280)) % 150.87/151.13 (step @p284 :rule cong :premises (@p283) :args (@t255)) % 150.87/151.13 (step @p285 :rule beta-reduce :args ((= (_ @t257 @t252) @t255))) % 150.87/151.13 (step @p286 :rule trans :premises (@p285 @p284)) % 150.87/151.13 (step @p287 :rule beta-reduce :args ((= (_ (lambda @t185 @t251) @t1) @t251))) % 150.87/151.13 (step @p288 :rule beta-reduce :args ((= @t260 @t248))) % 150.87/151.13 (step @p289 :rule refl :args (@t250)) % 150.87/151.13 (step @p290 :rule nary_cong :premises (@p289 @p288) :args (@t261)) % 150.87/151.13 (step @p291 :rule cong :premises (@p290) :args (@t262)) % 150.87/151.13 (step @p292 :rule beta-reduce :args ((= (_ (lambda @t191 (or @t250 @t190)) @t259) @t262))) % 150.87/151.13 (step @p293 :rule trans :premises (@p292 @p291)) % 150.87/151.13 (step @p294 :rule beta-reduce :args ((= (_ @t263 @t25) @t259))) % 150.87/151.13 (step @p295 :rule beta-reduce :args ((= @t264 @t263))) % 150.87/151.13 (step @p296 :rule ho_cong :premises (@p295 @p236)) % 150.87/151.13 (step @p297 :rule trans :premises (@p296 @p294)) % 150.87/151.13 (step @p298 :rule refl :args (@t190)) % 150.87/151.13 (step @p299 :rule beta-reduce :args ((= @t266 @t249))) % 150.87/151.13 (step @p300 :rule cong :premises (@p299) :args (@t267)) % 150.87/151.13 (step @p301 :rule nary_cong :premises (@p300 @p298) :args (@t268)) % 150.87/151.13 (step @p302 :rule cong :premises (@p301) :args (@t269)) % 150.87/151.13 (step @p303 :rule beta-reduce :args ((= (_ @t206 @t265) @t269))) % 150.87/151.13 (step @p304 :rule trans :premises (@p303 @p302)) % 150.87/151.13 (step @p305 :rule beta-reduce :args ((= (_ @t201 @t25) @t265))) % 150.87/151.13 (step @p306 :rule ho_cong :premises (@p185 @p236)) % 150.87/151.13 (step @p307 :rule trans :premises (@p306 @p305)) % 150.87/151.13 (step @p308 :rule refl :args (@t206)) % 150.87/151.13 (step @p309 :rule ho_cong :premises (@p308 @p307)) % 150.87/151.13 (step @p310 :rule trans :premises (@p309 @p304)) % 150.87/151.13 (step @p311 :rule ho_cong :premises (@p310 @p297)) % 150.87/151.13 (step @p312 :rule trans :premises (@p311 @p293)) % 150.87/151.13 (step @p313 :rule ho_cong :premises (@p312 @p161)) % 150.87/151.13 (step @p314 :rule trans :premises (@p313 @p287)) % 150.87/151.13 (step @p315 :rule cong :premises (@p314) :args ((lambda @t29 (_ (_ (_ @t206 (_ @t204 @t25)) (_ @t264 @t25)) @t1)))) % 150.87/151.13 (step @p316 :rule refl :args (@t257)) % 150.87/151.13 (step @p317 :rule ho_cong :premises (@p316 @p315)) % 150.87/151.13 (step @p318 :rule trans :premises (@p317 @p286)) % 150.87/151.13 (step @p319 :rule ho_cong :premises (@p197 @p318)) % 150.87/151.13 (step @p320 :rule trans :premises (@p319 @p268)) % 150.87/151.13 (step @p321 :rule refl :args (tptp.r2)) % 150.87/151.13 (step @p322 :rule ho_cong :premises (@p215 @p321)) % 150.87/151.13 (step @p323 :rule ho_cong :premises (@p322 @p236)) % 150.87/151.13 (step @p324 :rule ho_cong :premises (@p216 @p236)) % 150.87/151.13 (step @p325 :rule ho_cong :premises (@p243 @p324)) % 150.87/151.13 (step @p326 :rule ho_cong :premises (@p325 @p323)) % 150.87/151.13 (step @p327 :rule ho_cong :premises (@p326 @p161)) % 150.87/151.13 (step @p328 :rule cong :premises (@p327) :args (@t38)) % 150.87/151.13 (step @p329 :rule refl :args (@t256)) % 150.87/151.13 (step @p330 :rule refl :args (@t77)) % 150.87/151.13 (step @p331 :rule cong :premises (@p330 @p329) :args ((= @t77 @t256))) % 150.87/151.13 (step @p332 :rule symm :premises (@p331)) % 150.87/151.13 (step @p333 :rule eq_resolve :premises (@p330 @p332)) % 150.87/151.13 (step @p334 :rule cong :premises (@p333) :args (@t79)) % 150.87/151.13 (step @p335 :rule cong :premises (@p334) :args (@t81)) % 150.87/151.13 (step @p336 :rule trans :premises (@p80 @p335)) % 150.87/151.13 (step @p337 :rule ho_cong :premises (@p336 @p328)) % 150.87/151.13 (step @p338 :rule ho_cong :premises (@p120 @p337)) % 150.87/151.13 (step @p339 :rule trans :premises (@p338 @p320)) % 150.87/151.13 (step @p340 :rule trans :premises (@p339 @p262)) % 150.87/151.13 (step @p341 :rule eq_resolve :premises (@p33 @p340)) % 150.87/151.13 (step @p342 :rule instantiate :premises (@p341) :args ((@list @t221 @t215 @t272))) % 150.87/151.13 ; trust TRUST PREPROCESS_HO_ELIM % 150.87/151.13 (step @p343 :rule trust :premises () :args ((= (not (forall @t86 @t275)) @t273))) % 150.87/151.13 (step @p344 :rule beta-reduce :args ((= @t278 @t275))) % 150.87/151.13 (step @p345 :rule cong :premises (@p344) :args (@t279)) % 150.87/151.13 (step @p346 :rule beta-reduce :args ((= (_ @t142 @t277) @t279))) % 150.87/151.13 (step @p347 :rule trans :premises (@p346 @p345)) % 150.87/151.13 (step @p348 :rule beta-reduce :args ((= @t281 @t276))) % 150.87/151.13 (step @p349 :rule cong :premises (@p348) :args (@t282)) % 150.87/151.13 (step @p350 :rule cong :premises (@p349) :args (@t283)) % 150.87/151.13 (step @p351 :rule cong :premises (@p350) :args (@t284)) % 150.87/151.13 (step @p352 :rule cong :premises (@p351) :args (@t285)) % 150.87/151.13 (step @p353 :rule beta-reduce :args ((= (_ @t287 @t280) @t285))) % 150.87/151.13 (step @p354 :rule trans :premises (@p353 @p352)) % 150.87/151.13 (step @p355 :rule beta-reduce :args ((= (_ (lambda @t86 @t274) @t1) @t276))) % 150.87/151.13 (step @p356 :rule refl :args (@t245)) % 150.87/151.13 (step @p357 :rule nary_cong :premises (@p356 @p172) :args (@t288)) % 150.87/151.13 (step @p358 :rule cong :premises (@p357) :args ((forall @t94 @t288))) % 150.87/151.13 (step @p359 :rule refl :args (@t245)) % 150.87/151.13 (step @p360 :rule nary_cong :premises (@p359 @p176) :args (@t289)) % 150.87/151.13 (step @p361 :rule cong :premises (@p360) :args (@t290)) % 150.87/151.13 (step @p362 :rule trans :premises (@p361 @p358)) % 150.87/151.13 (step @p363 :rule cong :premises (@p362) :args (@t291)) % 150.87/151.13 (step @p364 :rule beta-reduce :args ((= (_ @t263 @t3) @t291))) % 150.87/151.13 (step @p365 :rule trans :premises (@p364 @p363)) % 150.87/151.13 (step @p366 :rule ho_cong :premises (@p295 @p184)) % 150.87/151.13 (step @p367 :rule trans :premises (@p366 @p365)) % 150.87/151.13 (step @p368 :rule ho_cong :premises (@p367 @p161)) % 150.87/151.13 (step @p369 :rule trans :premises (@p368 @p355)) % 150.87/151.13 (step @p370 :rule cong :premises (@p369) :args (@t292)) % 150.87/151.13 (step @p371 :rule refl :args (@t287)) % 150.87/151.13 (step @p372 :rule ho_cong :premises (@p371 @p370)) % 150.87/151.13 (step @p373 :rule trans :premises (@p372 @p354)) % 150.87/151.13 (step @p374 :rule ho_cong :premises (@p197 @p373)) % 150.87/151.13 (step @p375 :rule trans :premises (@p374 @p347)) % 150.87/151.13 (step @p376 :rule cong :premises (@p375) :args ((not (_ @t142 (_ @t287 @t292))))) % 150.87/151.13 (step @p377 :rule ho_cong :premises (@p322 @p184)) % 150.87/151.13 (step @p378 :rule ho_cong :premises (@p377 @p161)) % 150.87/151.13 (step @p379 :rule cong :premises (@p378) :args (@t44)) % 150.87/151.13 (step @p380 :rule beta-reduce :args ((= (_ (lambda @t86 (not @t293)) @t1) @t286))) % 150.87/151.13 (step @p381 :rule beta-reduce :args ((= @t295 @t293))) % 150.87/151.13 (step @p382 :rule cong :premises (@p381) :args (@t296)) % 150.87/151.13 (step @p383 :rule cong :premises (@p382) :args (@t297)) % 150.87/151.13 (step @p384 :rule beta-reduce :args ((= (_ @t55 @t294) @t297))) % 150.87/151.13 (step @p385 :rule trans :premises (@p384 @p383)) % 150.87/151.13 (step @p386 :rule cong :premises (@p252) :args (@t298)) % 150.87/151.13 (step @p387 :rule cong :premises (@p386) :args ((forall @t70 @t298))) % 150.87/151.13 (step @p388 :rule beta-reduce :args ((= @t301 @t298))) % 150.87/151.13 (step @p389 :rule cong :premises (@p388) :args (@t302)) % 150.87/151.13 (step @p390 :rule trans :premises (@p389 @p387)) % 150.87/151.13 (step @p391 :rule cong :premises (@p390) :args (@t303)) % 150.87/151.13 (step @p392 :rule beta-reduce :args ((= (_ @t184 @t300) @t303))) % 150.87/151.13 (step @p393 :rule trans :premises (@p392 @p391)) % 150.87/151.13 (step @p394 :rule beta-reduce :args ((= (_ @t304 @t1) @t299))) % 150.87/151.13 (step @p395 :rule beta-reduce :args ((= @t305 @t304))) % 150.87/151.13 (step @p396 :rule ho_cong :premises (@p395 @p161)) % 150.87/151.13 (step @p397 :rule trans :premises (@p396 @p394)) % 150.87/151.13 (step @p398 :rule cong :premises (@p397) :args ((lambda @t7 (_ @t305 @t1)))) % 150.87/151.13 (step @p399 :rule ho_cong :premises (@p194 @p398)) % 150.87/151.13 (step @p400 :rule trans :premises (@p399 @p393)) % 150.87/151.13 (step @p401 :rule refl :args (@t55)) % 150.87/151.13 (step @p402 :rule ho_cong :premises (@p401 @p400)) % 150.87/151.13 (step @p403 :rule trans :premises (@p402 @p385)) % 150.87/151.13 (step @p404 :rule ho_cong :premises (@p403 @p161)) % 150.87/151.13 (step @p405 :rule trans :premises (@p404 @p380)) % 150.87/151.13 (step @p406 :rule refl :args (@t68)) % 150.87/151.13 (step @p407 :rule ho_cong :premises (@p72 @p406)) % 150.87/151.13 (step @p408 :rule ho_cong :premises (@p407 @p161)) % 150.87/151.13 (step @p409 :rule cong :premises (@p408) :args (@t82)) % 150.87/151.13 (step @p410 :rule ho_cong :premises (@p255 @p409)) % 150.87/151.13 (step @p411 :rule ho_cong :premises (@p72 @p410)) % 150.87/151.13 (step @p412 :rule ho_cong :premises (@p411 @p161)) % 150.87/151.13 (step @p413 :rule trans :premises (@p412 @p405)) % 150.87/151.13 (step @p414 :rule cong :premises (@p413) :args (@t84)) % 150.87/151.13 (step @p415 :rule trans :premises (@p81 @p414)) % 150.87/151.13 (step @p416 :rule ho_cong :premises (@p415 @p379)) % 150.87/151.13 (step @p417 :rule ho_cong :premises (@p120 @p416)) % 150.87/151.13 (step @p418 :rule cong :premises (@p417) :args (@t45)) % 150.87/151.13 (step @p419 :rule trans :premises (@p418 @p376)) % 150.87/151.13 (step @p420 :rule trans :premises (@p419 @p343)) % 150.87/151.13 (step @p421 :rule eq_resolve :premises (@p68 @p420)) % 150.87/151.13 (step @p422 :rule refl :args (@t306)) % 150.87/151.13 (step @p423 :rule bool-double-not-elim :args (@t220)) % 150.87/151.13 (step @p424 :rule nary_cong :premises (@p423 @p422) :args ((or (not @t273) @t306))) % 150.87/151.13 (step @p425 :rule bool-double-not-elim :args (@t306)) % 150.87/151.13 (step @p426 :rule refl :args (@t273)) % 150.87/151.13 (step @p427 :rule cong :premises (@p426 @p425) :args ((=> @t273 @t307))) % 150.87/151.13 (assume-push @p469 @t273) % 150.87/151.13 (step @p429 :rule skolemize :premises (@p421)) % 150.87/151.13 (step-pop @p470 :rule scope :premises (@p429)) % 150.87/151.13 (step @p430 :rule process_scope :premises (@p470) :args (@t307)) % 150.87/151.13 (step @p432 :rule eq_resolve :premises (@p430 @p427)) % 150.87/151.13 (step @p433 :rule implies_elim :premises (@p432)) % 150.87/151.13 (step @p434 :rule eq_resolve :premises (@p433 @p424)) % 150.87/151.13 (step @p435 :rule chain_m_resolution :premises (@p434 @p421) :args (@t306 @t308 (@list @t220))) % 150.87/151.13 (step @p436 :rule instantiate :premises (@p435) :args ((@list tptp.john))) % 150.87/151.13 (step @p437 :rule skolemize :premises (@p436)) % 150.87/151.13 (step @p438 :rule cnf_or_neg :args (@t312 1)) % 150.87/151.13 (step @p439 :rule chain_m_resolution :premises (@p438 @p437) :args ((not @t309) @t308 @t313)) % 150.87/151.13 (step @p440 :rule bool-double-not-elim :args (@t310)) % 150.87/151.13 (step @p441 :rule refl :args (@t312)) % 150.87/151.13 (step @p442 :rule nary_cong :premises (@p441 @p440) :args ((or @t312 (not @t311)))) % 150.87/151.13 (step @p443 :rule cnf_or_neg :args (@t312 0)) % 150.87/151.13 (step @p444 :rule eq_resolve :premises (@p443 @p442)) % 150.87/151.13 (step @p445 :rule reordering :premises (@p444) :args ((or @t310 @t312))) % 150.87/151.13 (step @p446 :rule chain_m_resolution :premises (@p445 @p437) :args (@t310 @t308 @t313)) % 150.87/151.13 (step @p447 :rule cnf_or_pos :args (@t315)) % 150.87/151.13 (step @p448 :rule reordering :premises (@p447) :args ((or @t311 @t309 @t314 (not @t315)))) % 150.87/151.13 (step @p449 :rule chain_m_resolution :premises (@p448 @p446 @p439 @p342) :args (@t314 @t316 (@list @t310 @t309 @t315))) % 150.87/151.13 (step @p450 :rule skolemize :premises (@p449)) % 150.87/151.13 (step @p451 :rule cnf_or_neg :args (@t320 1)) % 150.87/151.13 (step @p452 :rule chain_m_resolution :premises (@p451 @p450) :args ((not @t317) @t308 @t321)) % 150.87/151.13 (step @p453 :rule bool-double-not-elim :args (@t318)) % 150.87/151.13 (step @p454 :rule refl :args (@t320)) % 150.87/151.13 (step @p455 :rule nary_cong :premises (@p454 @p453) :args ((or @t320 (not @t319)))) % 150.87/151.13 (step @p456 :rule cnf_or_neg :args (@t320 0)) % 150.87/151.13 (step @p457 :rule eq_resolve :premises (@p456 @p455)) % 150.87/151.13 (step @p458 :rule reordering :premises (@p457) :args ((or @t318 @t320))) % 150.87/151.13 (step @p459 :rule chain_m_resolution :premises (@p458 @p450) :args (@t318 @t308 @t321)) % 150.87/151.13 (step @p460 :rule cnf_or_pos :args (@t324)) % 150.87/151.13 (step @p461 :rule reordering :premises (@p460) :args ((or @t319 @t317 @t323 (not @t324)))) % 150.87/151.13 (step @p462 :rule chain_m_resolution :premises (@p461 @p459 @p452 @p261) :args (@t323 @t316 (@list @t318 @t317 @t324))) % 150.87/151.13 (assume-push @p471 @t136) % 150.87/151.13 (step @p464 :rule instantiate :premises (@p124) :args ((@list @t221))) % 150.87/151.13 (step-pop @p472 :rule scope :premises (@p464)) % 150.87/151.13 (step @p465 :rule process_scope :premises (@p472) :args (@t322)) % 150.87/151.13 (step @p467 :rule implies_elim :premises (@p465)) % 150.87/151.13 (step @p468 false :rule chain_m_resolution :premises (@p467 @p462 @p124) :args (false (@list true false) (@list @t322 @t136))) % 150.87/151.13 ) % 150.87/151.13 % SZS output end Proof % 150.87/151.13 % cvc5 exiting %------------------------------------------------------------------------------