%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : AGT028^1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 150.41s 150.93s % Output : Proof 150.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : AGT028^1 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 20:33:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.17/0.34 %----Proving TH0 % 150.41/150.93 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.41/150.93 --- 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... % 150.41/150.93 --- 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... % 150.41/150.93 --- Run --ho-elim --full-saturate-quant at 18s... % 150.41/150.93 % SZS status Theorem % 150.41/150.93 % SZS output start Proof % 150.41/150.93 ( % 150.41/150.93 (declare-sort $$unsorted 0) % 150.41/150.93 (declare-sort tptp.mu 0) % 150.41/150.93 (declare-const tptp.mike tptp.mu) % 150.41/150.93 (declare-const tptp.peter tptp.mu) % 150.41/150.93 (declare-const tptp.tom tptp.mu) % 150.41/150.93 (declare-const tptp.john tptp.mu) % 150.41/150.93 (declare-const tptp.physics_student (-> tptp.mu $$unsorted Bool)) % 150.41/150.93 (declare-const tptp.good_in_physics (-> tptp.mu $$unsorted Bool)) % 150.41/150.93 (declare-const tptp.mathematician (-> tptp.mu $$unsorted Bool)) % 150.41/150.93 (declare-const tptp.good_in_maths (-> tptp.mu $$unsorted Bool)) % 150.41/150.93 (declare-const tptp.r4 (-> $$unsorted $$unsorted Bool)) % 150.41/150.93 (declare-const tptp.maths_teacher (-> tptp.mu $$unsorted Bool)) % 150.41/150.93 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 150.41/150.93 (declare-const tptp.r5 (-> $$unsorted $$unsorted Bool)) % 150.41/150.93 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 150.41/150.93 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 150.41/150.93 (declare-const tptp.r3 (-> $$unsorted $$unsorted Bool)) % 150.41/150.93 (declare-const tptp.maths_student (-> tptp.mu $$unsorted Bool)) % 150.41/150.93 (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" $$unsorted)) (= _let_2 _let_1))))) % 150.41/150.93 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 150.41/150.93 (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)))))) % 150.41/150.93 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 150.41/150.93 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 150.41/150.93 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 150.41/150.93 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 150.41/150.93 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 150.41/150.93 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 150.41/150.93 (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))))))) % 150.41/150.93 (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))))))) % 150.41/150.93 (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)))))) % 150.41/150.93 (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)))))) % 150.41/150.93 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 150.41/150.93 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 150.41/150.93 (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)))))) % 150.41/150.93 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 150.41/150.93 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 150.41/150.93 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 150.41/150.93 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 150.41/150.93 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 150.41/150.93 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 150.41/150.93 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 150.41/150.93 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 150.41/150.93 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 150.41/150.93 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 150.41/150.93 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 150.41/150.93 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 150.41/150.93 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 150.41/150.93 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 150.41/150.93 (define @t1 () (@var "__flatten_var_0" $$unsorted)) % 150.41/150.93 (define @t2 () (@var "X" tptp.mu)) % 150.41/150.93 (define @t3 () (_ tptp.good_in_maths @t2)) % 150.41/150.93 (define @t4 () (_ tptp.mbox tptp.r4)) % 150.41/150.93 (define @t5 () (_ @t4 @t3)) % 150.41/150.93 (define @t6 () (_ tptp.maths_teacher @t2)) % 150.41/150.93 (define @t7 () (@list @t2 @t1)) % 150.41/150.93 (define @t8 () (lambda @t7 (_ (_ (_ tptp.mimplies @t6) @t5) @t1))) % 150.41/150.93 (define @t9 () (_ tptp.mbox tptp.r1)) % 150.41/150.93 (define @t10 () (_ tptp.mathematician @t2)) % 150.41/150.93 (define @t11 () (_ tptp.mbox tptp.r5)) % 150.41/150.93 (define @t12 () (_ tptp.mbox tptp.r2)) % 150.41/150.93 (define @t13 () (_ tptp.mbox tptp.r3)) % 150.41/150.93 (define @t14 () (_ tptp.mdia tptp.r1)) % 150.41/150.93 (define @t15 () (_ tptp.mimplies (_ tptp.maths_student @t2))) % 150.41/150.93 (define @t16 () (_ tptp.mdia tptp.r2)) % 150.41/150.93 (define @t17 () (_ @t16 @t3)) % 150.41/150.93 (define @t18 () (_ tptp.mdia tptp.r3)) % 150.41/150.93 (define @t19 () (_ tptp.mdia tptp.r4)) % 150.41/150.93 (define @t20 () (_ tptp.mdia tptp.r5)) % 150.41/150.93 (define @t21 () (_ tptp.good_in_physics @t2)) % 150.41/150.93 (define @t22 () (_ tptp.mimplies (_ tptp.physics_student @t2))) % 150.41/150.93 (define @t23 () (_ tptp.maths_teacher tptp.john)) % 150.41/150.93 (define @t24 () (@var "Phi" (-> $$unsorted Bool))) % 150.41/150.93 (define @t25 () (_ tptp.mnot @t24)) % 150.41/150.93 (define @t26 () (_ @t9 @t24)) % 150.41/150.93 (define @t27 () (_ tptp.mimplies @t26)) % 150.41/150.93 (define @t28 () (@list @t24 @t1)) % 150.41/150.93 (define @t29 () (_ @t12 @t24)) % 150.41/150.93 (define @t30 () (_ tptp.mimplies @t29)) % 150.41/150.93 (define @t31 () (_ @t13 @t24)) % 150.41/150.93 (define @t32 () (_ tptp.mimplies @t31)) % 150.41/150.93 (define @t33 () (_ @t4 @t24)) % 150.41/150.93 (define @t34 () (_ tptp.mimplies @t33)) % 150.41/150.93 (define @t35 () (_ @t11 @t24)) % 150.41/150.93 (define @t36 () (_ tptp.mimplies @t35)) % 150.41/150.93 (define @t37 () (_ tptp.mnot @t26)) % 150.41/150.93 (define @t38 () (_ tptp.mnot @t29)) % 150.41/150.93 (define @t39 () (_ tptp.mnot @t31)) % 150.41/150.93 (define @t40 () (_ tptp.mnot @t33)) % 150.41/150.93 (define @t41 () (_ tptp.mnot @t35)) % 150.41/150.93 (define @t42 () (lambda @t7 (_ @t5 @t1))) % 150.41/150.93 (define @t43 () (not (_ tptp.mvalid (_ tptp.mexists_ind @t42)))) % 150.41/150.93 (define @t44 () (@var "Y" tptp.mu)) % 150.41/150.93 (define @t45 () (@var "W" $$unsorted)) % 150.41/150.93 (define @t46 () (lambda (@list @t2 @t44 @t45) (= @t2 @t44))) % 150.41/150.93 (define @t47 () (@var "Y" (-> $$unsorted Bool))) % 150.41/150.93 (define @t48 () (@var "X" (-> $$unsorted Bool))) % 150.41/150.93 (define @t49 () (lambda (@list @t48 @t47 @t45) (= (_ @t48 @t45) (_ @t47 @t45)))) % 150.41/150.93 (define @t50 () (_ @t24 @t45)) % 150.41/150.93 (define @t51 () (not @t50)) % 150.41/150.93 (define @t52 () (@list @t24 @t45)) % 150.41/150.93 (define @t53 () (lambda @t52 @t51)) % 150.41/150.93 (define @t54 () (@var "Psi" (-> $$unsorted Bool))) % 150.41/150.93 (define @t55 () (_ @t54 @t45)) % 150.41/150.93 (define @t56 () (lambda (@list @t24 @t54 @t45) (or @t50 @t55))) % 150.41/150.93 (define @t57 () (_ tptp.mnot @t54)) % 150.41/150.93 (define @t58 () (_ tptp.mor @t25)) % 150.41/150.93 (define @t59 () (@list @t24 @t54 @t1)) % 150.41/150.93 (define @t60 () (lambda @t59 (_ (_ tptp.mnot (_ @t58 @t57)) @t1))) % 150.41/150.93 (define @t61 () (lambda @t59 (_ (_ @t58 @t54) @t1))) % 150.41/150.93 (define @t62 () (lambda @t59 (_ (_ (_ tptp.mor @t57) @t24) @t1))) % 150.41/150.93 (define @t63 () (lambda @t59 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t24) @t54)) (_ (_ tptp.mimplies @t54) @t24)) @t1))) % 150.41/150.93 (define @t64 () (lambda @t59 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t24) @t54)) @t1))) % 150.41/150.93 (define @t65 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 150.41/150.93 (define @t66 () (_ @t65 @t2)) % 150.41/150.93 (define @t67 () (_ @t66 @t45)) % 150.41/150.93 (define @t68 () (@list @t2)) % 150.41/150.93 (define @t69 () (forall @t68 @t67)) % 150.41/150.93 (define @t70 () (@list @t65 @t45)) % 150.41/150.93 (define @t71 () (lambda @t70 @t69)) % 150.41/150.93 (define @t72 () (@var "P" (-> $$unsorted Bool))) % 150.41/150.93 (define @t73 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 150.41/150.93 (define @t74 () (_ @t73 @t72)) % 150.41/150.93 (define @t75 () (lambda (@list @t73 @t45) (forall (@list @t72) (_ @t74 @t45)))) % 150.41/150.93 (define @t76 () (lambda @t7 (_ (_ tptp.mnot @t66) @t1))) % 150.41/150.93 (define @t77 () (@list @t65 @t1)) % 150.41/150.93 (define @t78 () (lambda @t77 (_ (_ tptp.mnot (_ tptp.mforall_ind @t76)) @t1))) % 150.41/150.93 (define @t79 () (lambda (@list @t73 @t1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t72 @t1) (_ (_ tptp.mnot @t74) @t1)))) @t1))) % 150.41/150.93 (define @t80 () (@list @t45)) % 150.41/150.93 (define @t81 () (lambda @t80 true)) % 150.41/150.93 (define @t82 () (@var "V" $$unsorted)) % 150.41/150.93 (define @t83 () (_ @t24 @t82)) % 150.41/150.93 (define @t84 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 150.41/150.93 (define @t85 () (_ (_ @t84 @t45) @t82)) % 150.41/150.93 (define @t86 () (not @t85)) % 150.41/150.93 (define @t87 () (or @t86 @t83)) % 150.41/150.93 (define @t88 () (@list @t82)) % 150.41/150.93 (define @t89 () (forall @t88 @t87)) % 150.41/150.93 (define @t90 () (@list @t84 @t24 @t45)) % 150.41/150.93 (define @t91 () (lambda @t90 @t89)) % 150.41/150.93 (define @t92 () (lambda (@list @t84 @t24 @t1) (_ (_ tptp.mnot (_ (_ tptp.mbox @t84) @t25)) @t1))) % 150.41/150.93 (define @t93 () (@var "S" $$unsorted)) % 150.41/150.93 (define @t94 () (_ @t84 @t93)) % 150.41/150.93 (define @t95 () (@list @t93)) % 150.41/150.93 (define @t96 () (@list @t84)) % 150.41/150.93 (define @t97 () (lambda @t96 (forall @t95 (_ @t94 @t93)))) % 150.41/150.93 (define @t98 () (@var "T" $$unsorted)) % 150.41/150.93 (define @t99 () (_ @t84 @t98)) % 150.41/150.93 (define @t100 () (_ @t94 @t98)) % 150.41/150.93 (define @t101 () (lambda @t96 (forall (@list @t93 @t98) (=> @t100 (_ @t99 @t93))))) % 150.41/150.93 (define @t102 () (@list @t98)) % 150.41/150.93 (define @t103 () (lambda @t96 (forall @t95 (exists @t102 @t100)))) % 150.41/150.93 (define @t104 () (@var "U" $$unsorted)) % 150.41/150.93 (define @t105 () (_ @t94 @t104)) % 150.41/150.93 (define @t106 () (_ @t99 @t104)) % 150.41/150.93 (define @t107 () (@list @t93 @t98 @t104)) % 150.41/150.93 (define @t108 () (lambda @t96 (forall @t107 (=> (and @t100 @t106) @t105)))) % 150.41/150.93 (define @t109 () (and @t100 @t105)) % 150.41/150.93 (define @t110 () (lambda @t96 (forall @t107 (=> @t109 @t106)))) % 150.41/150.93 (define @t111 () (= @t98 @t104)) % 150.41/150.93 (define @t112 () (lambda @t96 (forall @t107 (=> @t109 @t111)))) % 150.41/150.93 (define @t113 () (@list @t104)) % 150.41/150.93 (define @t114 () (lambda @t96 (forall @t95 (exists @t102 (and @t100 (forall @t113 (=> @t105 @t111))))))) % 150.41/150.93 (define @t115 () (_ @t84 @t104)) % 150.41/150.93 (define @t116 () (_ @t115 @t98)) % 150.41/150.93 (define @t117 () (lambda @t96 (forall @t107 (=> @t100 (exists @t113 (and @t105 @t116)))))) % 150.41/150.93 (define @t118 () (lambda @t96 (forall @t107 (=> @t109 (or @t106 @t111 @t116))))) % 150.41/150.93 (define @t119 () (lambda @t96 (forall @t107 (=> @t109 (exists @t88 (and (_ @t99 @t82) (_ @t115 @t82))))))) % 150.41/150.93 (define @t120 () (forall @t80 @t50)) % 150.41/150.93 (define @t121 () (@list @t24)) % 150.41/150.93 (define @t122 () (lambda @t121 @t120)) % 150.41/150.93 (define @t123 () (lambda @t121 (forall @t80 @t51))) % 150.41/150.93 (define @t124 () (lambda @t121 (exists @t80 @t50))) % 150.41/150.93 (define @t125 () (lambda @t121 (exists @t80 @t51))) % 150.41/150.93 (define @t126 () (@const 0 (@ho-elim-sort (-> tptp.mu $$unsorted Bool)))) % 150.41/150.93 (define @t127 () (@const 1 (-> (@ho-elim-sort (-> tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> $$unsorted Bool))))) % 150.41/150.93 (define @t128 () (_ @t127 @t126 tptp.john)) % 150.41/150.93 (define @t129 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.41/150.93 (define @t130 () (forall @t80 (_ @t129 @t128 @t45))) % 150.41/150.93 (define @t131 () (tptp.maths_teacher tptp.john @t45)) % 150.41/150.93 (define @t132 () (_ @t23 @t45)) % 150.41/150.93 (define @t133 () (_ @t23 @t45)) % 150.41/150.93 (define @t134 () (forall @t80 @t133)) % 150.41/150.93 (define @t135 () (_ @t24 @t45)) % 150.41/150.93 (define @t136 () (lambda @t121 (forall @t80 @t135))) % 150.41/150.93 (define @t137 () (@var "BOUND_VARIABLE_8834" $$unsorted)) % 150.41/150.93 (define @t138 () (@const 3 (@ho-elim-sort (-> tptp.mu $$unsorted Bool)))) % 150.41/150.93 (define @t139 () (_ @t127 @t138 @t2)) % 150.41/150.93 (define @t140 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.41/150.93 (define @t141 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 150.41/150.93 (define @t142 () (_ @t141 @t140 @t45)) % 150.41/150.93 (define @t143 () (@list @t45 @t2 @t137)) % 150.41/150.93 (define @t144 () (tptp.good_in_maths @t2 @t137)) % 150.41/150.93 (define @t145 () (not (tptp.r4 @t45 @t137))) % 150.41/150.93 (define @t146 () (tptp.maths_teacher @t2 @t45)) % 150.41/150.93 (define @t147 () (not @t146)) % 150.41/150.93 (define @t148 () (or @t147 @t145 @t144)) % 150.41/150.93 (define @t149 () (forall @t143 @t148)) % 150.41/150.93 (define @t150 () (@list @t2 @t137)) % 150.41/150.93 (define @t151 () (forall @t150 @t148)) % 150.41/150.93 (define @t152 () (lambda @t80 @t151)) % 150.41/150.93 (define @t153 () (_ @t152 @t45)) % 150.41/150.93 (define @t154 () (forall @t80 @t153)) % 150.41/150.93 (define @t155 () (or @t145 @t144)) % 150.41/150.93 (define @t156 () (or @t147 @t155)) % 150.41/150.93 (define @t157 () (forall @t150 @t156)) % 150.41/150.93 (define @t158 () (@list @t137)) % 150.41/150.93 (define @t159 () (forall @t158 @t156)) % 150.41/150.93 (define @t160 () (forall @t158 @t155)) % 150.41/150.93 (define @t161 () (or @t147 @t160)) % 150.41/150.93 (define @t162 () (tptp.good_in_maths @t2 @t82)) % 150.41/150.93 (define @t163 () (not (tptp.r4 @t45 @t82))) % 150.41/150.93 (define @t164 () (forall @t88 (or @t163 @t162))) % 150.41/150.93 (define @t165 () (_ @t6 @t45)) % 150.41/150.93 (define @t166 () (not @t165)) % 150.41/150.93 (define @t167 () (or @t166 @t164)) % 150.41/150.93 (define @t168 () (forall @t88 (or (not (tptp.r4 @t1 @t82)) @t162))) % 150.41/150.93 (define @t169 () (not (_ @t6 @t1))) % 150.41/150.93 (define @t170 () (or @t169 @t168)) % 150.41/150.93 (define @t171 () (lambda @t7 @t170)) % 150.41/150.93 (define @t172 () (_ @t171 @t2 @t45)) % 150.41/150.93 (define @t173 () (forall @t68 @t172)) % 150.41/150.93 (define @t174 () (lambda @t80 @t173)) % 150.41/150.93 (define @t175 () (_ @t65 @t2 @t45)) % 150.41/150.93 (define @t176 () (lambda @t70 (forall @t68 @t175))) % 150.41/150.93 (define @t177 () (@list @t1)) % 150.41/150.93 (define @t178 () (lambda @t80 @t164)) % 150.41/150.93 (define @t179 () (_ @t178 @t1)) % 150.41/150.93 (define @t180 () (or @t169 @t179)) % 150.41/150.93 (define @t181 () (lambda @t177 @t180)) % 150.41/150.93 (define @t182 () (_ @t54 @t1)) % 150.41/150.93 (define @t183 () (lambda (@list @t54 @t1) (or @t169 @t182))) % 150.41/150.93 (define @t184 () (_ @t3 @t82)) % 150.41/150.93 (define @t185 () (or @t163 @t184)) % 150.41/150.93 (define @t186 () (_ @t3 @t82)) % 150.41/150.93 (define @t187 () (or @t163 @t186)) % 150.41/150.93 (define @t188 () (forall @t88 @t187)) % 150.41/150.93 (define @t189 () (lambda @t80 @t188)) % 150.41/150.93 (define @t190 () (_ @t24 @t82)) % 150.41/150.93 (define @t191 () (lambda @t52 (forall @t88 (or @t163 @t190)))) % 150.41/150.93 (define @t192 () (_ @t84 @t45 @t82)) % 150.41/150.93 (define @t193 () (_ (lambda @t90 (forall @t88 (or (not @t192) @t190))) tptp.r4)) % 150.41/150.93 (define @t194 () (or (not (_ @t24 @t1)) @t182)) % 150.41/150.93 (define @t195 () (_ (lambda @t59 @t194) @t6)) % 150.41/150.93 (define @t196 () (_ @t193 @t3)) % 150.41/150.93 (define @t197 () (or @t51 @t55)) % 150.41/150.93 (define @t198 () (lambda @t80 @t197)) % 150.41/150.93 (define @t199 () (@list @t54 @t45)) % 150.41/150.93 (define @t200 () (lambda @t80 @t51)) % 150.41/150.93 (define @t201 () (_ @t200 @t45)) % 150.41/150.93 (define @t202 () (or @t201 @t55)) % 150.41/150.93 (define @t203 () (lambda @t199 @t202)) % 150.41/150.93 (define @t204 () (_ @t127 @t138 tptp.john)) % 150.41/150.93 (define @t205 () (_ @t129 @t139 @t82)) % 150.41/150.93 (define @t206 () (forall @t80 (not (forall @t68 (not (forall @t88 (or (not (_ @t129 @t142 @t82)) @t205))))))) % 150.41/150.93 (define @t207 () (@quantifiers_skolemize @t206 0)) % 150.41/150.93 (define @t208 () (_ @t141 @t140 @t207)) % 150.41/150.93 (define @t209 () (not (_ @t129 @t208 @t82))) % 150.41/150.93 (define @t210 () (@quantifiers_skolemize (forall @t88 (or @t209 (_ @t129 @t204 @t82))) 0)) % 150.41/150.93 (define @t211 () (not @t206)) % 150.41/150.93 (define @t212 () (not (forall @t68 (not @t164)))) % 150.41/150.93 (define @t213 () (lambda @t177 (not (forall @t68 (not @t168))))) % 150.41/150.93 (define @t214 () (_ @t213 @t45)) % 150.41/150.93 (define @t215 () (forall @t80 @t214)) % 150.41/150.93 (define @t216 () (lambda @t7 @t168)) % 150.41/150.93 (define @t217 () (_ @t216 @t2 @t1)) % 150.41/150.93 (define @t218 () (not @t217)) % 150.41/150.93 (define @t219 () (forall @t68 @t218)) % 150.41/150.93 (define @t220 () (not @t219)) % 150.41/150.93 (define @t221 () (lambda @t177 @t220)) % 150.41/150.93 (define @t222 () (not (forall @t68 (not (_ @t65 @t2 @t1))))) % 150.41/150.93 (define @t223 () (lambda @t77 @t222)) % 150.41/150.93 (define @t224 () (lambda @t7 (_ @t196 @t1))) % 150.41/150.93 (define @t225 () (forall @t68 (not @t175))) % 150.41/150.93 (define @t226 () (lambda @t80 @t225)) % 150.41/150.93 (define @t227 () (_ @t226 @t45)) % 150.41/150.93 (define @t228 () (not @t227)) % 150.41/150.93 (define @t229 () (lambda @t80 @t228)) % 150.41/150.93 (define @t230 () (not @t67)) % 150.41/150.93 (define @t231 () (not (_ @t66 @t1))) % 150.41/150.93 (define @t232 () (lambda @t7 @t231)) % 150.41/150.93 (define @t233 () (_ @t232 @t2 @t45)) % 150.41/150.93 (define @t234 () (forall @t68 @t233)) % 150.41/150.93 (define @t235 () (lambda @t80 @t234)) % 150.41/150.93 (define @t236 () (lambda @t80 @t230)) % 150.41/150.93 (define @t237 () (_ @t53 @t66)) % 150.41/150.93 (define @t238 () (forall @t68 (not (forall @t88 (or @t209 @t205))))) % 150.41/150.93 (define @t239 () (not (not @t238))) % 150.41/150.93 (define @t240 () (@list true)) % 150.41/150.93 (define @t241 () (_ @t129 @t204 @t210)) % 150.41/150.93 (define @t242 () (_ @t129 @t208 @t210)) % 150.41/150.93 (define @t243 () (not @t242)) % 150.41/150.93 (define @t244 () (or @t243 @t241)) % 150.41/150.93 (define @t245 () (@list @t244)) % 150.41/150.93 (define @t246 () (_ @t129 @t128 @t207)) % 150.41/150.93 (define @t247 () (not @t246)) % 150.41/150.93 (define @t248 () (or @t247 @t243 @t241)) % 150.41/150.93 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 150.41/150.93 (assume @p2 (_ tptp.mvalid (_ tptp.mforall_ind @t8))) % 150.41/150.93 (assume @p3 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t11 (_ (_ tptp.mimplies (_ @t9 @t10)) (_ @t9 @t3))) @t1))))) % 150.41/150.93 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t11 (_ (_ tptp.mimplies (_ @t12 @t10)) (_ @t12 @t3))) @t1))))) % 150.41/150.93 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t11 (_ (_ tptp.mimplies (_ @t13 @t10)) (_ @t13 @t3))) @t1))))) % 150.41/150.93 (assume @p6 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t11 (_ (_ tptp.mimplies (_ @t4 @t10)) @t5)) @t1))))) % 150.41/150.93 (assume @p7 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t11 (_ (_ tptp.mimplies (_ @t11 @t10)) (_ @t11 @t3))) @t1))))) % 150.41/150.93 (assume @p8 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t15 (_ @t14 @t3))) @t1))))) % 150.41/150.93 (assume @p9 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t15 @t17)) @t1))))) % 150.41/150.93 (assume @p10 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t15 (_ @t18 @t3))) @t1))))) % 150.41/150.93 (assume @p11 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t15 (_ @t19 @t3))) @t1))))) % 150.41/150.93 (assume @p12 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t15 (_ @t20 @t3))) @t1))))) % 150.41/150.93 (assume @p13 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t22 (_ @t14 @t21))) @t1))))) % 150.41/150.93 (assume @p14 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t22 (_ @t16 @t21))) @t1))))) % 150.41/150.93 (assume @p15 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t22 (_ @t18 @t21))) @t1))))) % 150.41/150.93 (assume @p16 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t22 (_ @t19 @t21))) @t1))))) % 150.41/150.93 (assume @p17 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t13 (_ @t22 (_ @t20 @t21))) @t1))))) % 150.41/150.93 (assume @p18 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t7 (_ (_ @t12 (_ (_ tptp.mimplies @t21) @t17)) @t1))))) % 150.41/150.93 (assume @p19 (_ tptp.mvalid @t23)) % 150.41/150.93 (assume @p20 (_ tptp.mvalid (_ @t12 (_ tptp.mathematician tptp.tom)))) % 150.41/150.93 (assume @p21 (_ tptp.mvalid (_ @t11 (_ tptp.maths_student tptp.peter)))) % 150.41/150.93 (assume @p22 (_ tptp.mvalid (_ @t11 (_ tptp.physics_student tptp.mike)))) % 150.41/150.93 (assume @p23 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t27 (_ tptp.mnot (_ @t9 @t25))) @t1))))) % 150.41/150.93 (assume @p24 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t30 (_ tptp.mnot (_ @t12 @t25))) @t1))))) % 150.41/150.93 (assume @p25 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t32 (_ tptp.mnot (_ @t13 @t25))) @t1))))) % 150.41/150.93 (assume @p26 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t34 (_ tptp.mnot (_ @t4 @t25))) @t1))))) % 150.41/150.93 (assume @p27 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t36 (_ tptp.mnot (_ @t11 @t25))) @t1))))) % 150.41/150.93 (assume @p28 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t30 @t26) @t1))))) % 150.41/150.93 (assume @p29 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t32 @t26) @t1))))) % 150.41/150.93 (assume @p30 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t34 @t26) @t1))))) % 150.41/150.93 (assume @p31 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t36 @t26) @t1))))) % 150.41/150.93 (assume @p32 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t32 @t29) @t1))))) % 150.41/150.93 (assume @p33 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t34 @t29) @t1))))) % 150.41/150.93 (assume @p34 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t36 @t29) @t1))))) % 150.41/150.93 (assume @p35 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t34 @t31) @t1))))) % 150.41/150.93 (assume @p36 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t36 @t31) @t1))))) % 150.41/150.93 (assume @p37 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t36 @t33) @t1))))) % 150.41/150.93 (assume @p38 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t27 (_ @t9 @t26)) @t1))))) % 150.41/150.93 (assume @p39 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t27 (_ @t12 @t26)) @t1))))) % 150.41/150.93 (assume @p40 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t27 (_ @t13 @t26)) @t1))))) % 150.41/150.93 (assume @p41 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t27 (_ @t4 @t26)) @t1))))) % 150.41/150.93 (assume @p42 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t27 (_ @t11 @t26)) @t1))))) % 150.41/150.93 (assume @p43 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t30 (_ @t9 @t29)) @t1))))) % 150.41/150.93 (assume @p44 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t30 (_ @t12 @t29)) @t1))))) % 150.41/150.93 (assume @p45 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t30 (_ @t13 @t29)) @t1))))) % 150.41/150.93 (assume @p46 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t30 (_ @t4 @t29)) @t1))))) % 150.41/150.93 (assume @p47 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t30 (_ @t11 @t29)) @t1))))) % 150.41/150.93 (assume @p48 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t32 (_ @t9 @t31)) @t1))))) % 150.41/150.93 (assume @p49 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t32 (_ @t12 @t31)) @t1))))) % 150.41/150.93 (assume @p50 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t32 (_ @t13 @t31)) @t1))))) % 150.41/150.93 (assume @p51 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t32 (_ @t4 @t31)) @t1))))) % 150.41/150.93 (assume @p52 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t32 (_ @t11 @t31)) @t1))))) % 150.41/150.93 (assume @p53 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t34 (_ @t9 @t33)) @t1))))) % 150.41/150.93 (assume @p54 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t34 (_ @t12 @t33)) @t1))))) % 150.41/150.93 (assume @p55 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t34 (_ @t13 @t33)) @t1))))) % 150.41/150.93 (assume @p56 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t34 (_ @t4 @t33)) @t1))))) % 150.41/150.93 (assume @p57 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t34 (_ @t11 @t33)) @t1))))) % 150.41/150.93 (assume @p58 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t36 (_ @t9 @t35)) @t1))))) % 150.41/150.93 (assume @p59 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t36 (_ @t12 @t35)) @t1))))) % 150.41/150.93 (assume @p60 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t36 (_ @t13 @t35)) @t1))))) % 150.41/150.93 (assume @p61 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t36 (_ @t4 @t35)) @t1))))) % 150.41/150.93 (assume @p62 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ @t36 (_ @t11 @t35)) @t1))))) % 150.41/150.93 (assume @p63 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ (_ tptp.mimplies @t37) (_ @t9 @t37)) @t1))))) % 150.41/150.93 (assume @p64 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ (_ tptp.mimplies @t38) (_ @t12 @t38)) @t1))))) % 150.41/150.93 (assume @p65 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ (_ tptp.mimplies @t39) (_ @t13 @t39)) @t1))))) % 150.41/150.93 (assume @p66 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ (_ tptp.mimplies @t40) (_ @t4 @t40)) @t1))))) % 150.41/150.93 (assume @p67 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t28 (_ (_ (_ tptp.mimplies @t41) (_ @t11 @t41)) @t1))))) % 150.41/150.93 (assume @p68 @t43) % 150.41/150.93 (assume @p69 true) % 150.41/150.93 (step @p70 (= tptp.meq_ind @t46) :rule refl :args (@t46)) % 150.41/150.93 (step @p71 (= tptp.meq_prop @t49) :rule refl :args (@t49)) % 150.41/150.93 (step @p72 (= tptp.mnot @t53) :rule refl :args (@t53)) % 150.41/150.93 (step @p73 (= tptp.mor @t56) :rule refl :args (@t56)) % 150.41/150.93 (step @p74 (= tptp.mand @t60) :rule refl :args (@t60)) % 150.41/150.93 (step @p75 (= tptp.mimplies @t61) :rule refl :args (@t61)) % 150.41/150.93 (step @p76 (= tptp.mimplied @t62) :rule refl :args (@t62)) % 150.41/150.93 (step @p77 (= tptp.mequiv @t63) :rule refl :args (@t63)) % 150.41/150.93 (step @p78 (= tptp.mxor @t64) :rule refl :args (@t64)) % 150.41/150.93 (step @p79 (= tptp.mforall_ind @t71) :rule refl :args (@t71)) % 150.41/150.93 (step @p80 (= tptp.mforall_prop @t75) :rule refl :args (@t75)) % 150.41/150.93 (step @p81 (= tptp.mexists_ind @t78) :rule refl :args (@t78)) % 150.41/150.93 (step @p82 (= tptp.mexists_prop @t79) :rule refl :args (@t79)) % 150.41/150.93 (step @p83 (= tptp.mtrue @t81) :rule refl :args (@t81)) % 150.41/150.93 (step @p84 (= tptp.mbox @t91) :rule refl :args (@t91)) % 150.41/150.93 (step @p85 (= tptp.mdia @t92) :rule refl :args (@t92)) % 150.41/150.93 (step @p86 (= tptp.mreflexive @t97) :rule refl :args (@t97)) % 150.41/150.93 (step @p87 (= tptp.msymmetric @t101) :rule refl :args (@t101)) % 150.41/150.93 (step @p88 (= tptp.mserial @t103) :rule refl :args (@t103)) % 150.41/150.93 (step @p89 (= tptp.mtransitive @t108) :rule refl :args (@t108)) % 150.41/150.93 (step @p90 (= tptp.meuclidean @t110) :rule refl :args (@t110)) % 150.41/150.93 (step @p91 (= tptp.mpartially_functional @t112) :rule refl :args (@t112)) % 150.41/150.93 (step @p92 (= tptp.mfunctional @t114) :rule refl :args (@t114)) % 150.41/150.93 (step @p93 (= tptp.mweakly_dense @t117) :rule refl :args (@t117)) % 150.41/150.93 (step @p94 (= tptp.mweakly_connected @t118) :rule refl :args (@t118)) % 150.41/150.93 (step @p95 (= tptp.mweakly_directed @t119) :rule refl :args (@t119)) % 150.41/150.93 (step @p96 (= tptp.mvalid @t122) :rule refl :args (@t122)) % 150.41/150.93 (step @p97 (= tptp.minvalid @t123) :rule refl :args (@t123)) % 150.41/150.93 (step @p98 (= tptp.msatisfiable @t124) :rule refl :args (@t124)) % 150.41/150.93 (step @p99 (= tptp.mcountersatisfiable @t125) :rule refl :args (@t125)) % 150.41/150.93 ; WARNING: add trust step for TRUST % 150.41/150.93 ; trust TRUST PREPROCESS_HO_ELIM % 150.41/150.93 (step @p100 :rule trust :premises () :args ((= (forall @t80 @t131) @t130))) % 150.41/150.93 (step @p101 :rule refl :args (@t131)) % 150.41/150.93 (step @p102 :rule refl :args (@t132)) % 150.41/150.93 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t132 @t131))) % 150.41/150.93 (step @p104 :rule symm :premises (@p103)) % 150.41/150.93 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 150.41/150.93 (step @p106 :rule cong :premises (@p105) :args ((forall @t80 @t132))) % 150.41/150.93 (step @p107 :rule refl :args (@t133)) % 150.41/150.93 (step @p108 :rule cong :premises (@p107) :args (@t134)) % 150.41/150.93 (step @p109 :rule trans :premises (@p108 @p106)) % 150.41/150.93 (step @p110 :rule beta-reduce :args ((= (_ @t136 @t23) @t134))) % 150.41/150.93 (step @p111 :rule trans :premises (@p110 @p109)) % 150.41/150.93 (step @p112 :rule refl :args (@t23)) % 150.41/150.93 (step @p113 :rule refl :args (@t135)) % 150.41/150.93 (step @p114 :rule refl :args (@t50)) % 150.41/150.93 (step @p115 :rule cong :premises (@p114 @p113) :args ((= @t50 @t135))) % 150.41/150.93 (step @p116 :rule symm :premises (@p115)) % 150.41/150.93 (step @p117 :rule eq_resolve :premises (@p114 @p116)) % 150.41/150.93 (step @p118 :rule cong :premises (@p117) :args (@t120)) % 150.41/150.93 (step @p119 :rule cong :premises (@p118) :args (@t122)) % 150.41/150.93 (step @p120 :rule trans :premises (@p96 @p119)) % 150.41/150.93 (step @p121 :rule ho_cong :premises (@p120 @p112)) % 150.41/150.93 (step @p122 :rule trans :premises (@p121 @p111)) % 150.41/150.93 (step @p123 :rule trans :premises (@p122 @p100)) % 150.41/150.93 (step @p124 :rule eq_resolve :premises (@p19 @p123)) % 150.41/150.93 ; trust TRUST PREPROCESS_HO_ELIM % 150.41/150.93 (step @p125 :rule trust :premises () :args ((= @t149 (forall @t143 (or (not (_ @t129 (_ @t127 @t126 @t2) @t45)) (not (_ @t129 @t142 @t137)) (_ @t129 @t139 @t137)))))) % 150.41/150.93 (step @p126 :rule quant-merge-prenex :args ((= (forall @t80 @t151) @t149))) % 150.41/150.93 (step @p127 :rule beta-reduce :args ((= @t153 @t151))) % 150.41/150.93 (step @p128 :rule cong :premises (@p127) :args (@t154)) % 150.41/150.93 (step @p129 :rule trans :premises (@p128 @p126)) % 150.41/150.93 (step @p130 :rule beta-reduce :args ((= (_ @t136 @t152) @t154))) % 150.41/150.93 (step @p131 :rule trans :premises (@p130 @p129)) % 150.41/150.93 (step @p132 :rule aci_norm :args ((= @t156 @t148))) % 150.41/150.93 (step @p133 :rule cong :premises (@p132) :args (@t157)) % 150.41/150.93 (step @p134 :rule quant-merge-prenex :args ((= (forall @t68 @t159) @t157))) % 150.41/150.93 (step @p135 :rule alpha_equiv :args (@t160 (@list @t137) (@list @t82))) % 150.41/150.93 (step @p136 :rule refl :args (@t147)) % 150.41/150.93 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t161)) % 150.41/150.93 (step @p138 :rule quant-miniscope-or :args ((= @t159 @t161))) % 150.41/150.93 (step @p139 :rule trans :premises (@p138 @p137)) % 150.41/150.93 (step @p140 :rule symm :premises (@p139)) % 150.41/150.93 (step @p141 :rule cong :premises (@p140) :args ((forall @t68 (or @t147 @t164)))) % 150.41/150.93 (step @p142 :rule trans :premises (@p141 @p134)) % 150.41/150.93 (step @p143 :rule trans :premises (@p142 @p133)) % 150.41/150.93 (step @p144 :rule refl :args (@t164)) % 150.41/150.93 (step @p145 :rule refl :args (@t146)) % 150.41/150.93 (step @p146 :rule refl :args (@t165)) % 150.41/150.93 (step @p147 :rule cong :premises (@p146 @p145) :args ((= @t165 @t146))) % 150.41/150.93 (step @p148 :rule symm :premises (@p147)) % 150.41/150.93 (step @p149 :rule eq_resolve :premises (@p146 @p148)) % 150.41/150.93 (step @p150 :rule cong :premises (@p149) :args (@t166)) % 150.41/150.93 (step @p151 :rule nary_cong :premises (@p150 @p144) :args (@t167)) % 150.41/150.93 (step @p152 :rule cong :premises (@p151) :args ((forall @t68 @t167))) % 150.41/150.93 (step @p153 :rule trans :premises (@p152 @p143)) % 150.41/150.93 (step @p154 :rule beta-reduce :args ((= @t172 @t167))) % 150.41/150.93 (step @p155 :rule cong :premises (@p154) :args (@t173)) % 150.41/150.93 (step @p156 :rule trans :premises (@p155 @p153)) % 150.41/150.93 (step @p157 :rule cong :premises (@p156) :args (@t174)) % 150.41/150.93 (step @p158 :rule beta-reduce :args ((= (_ @t176 @t171) @t174))) % 150.41/150.93 (step @p159 :rule trans :premises (@p158 @p157)) % 150.41/150.93 (step @p160 :rule beta-reduce :args ((= (_ (lambda @t177 @t170) @t1) @t170))) % 150.41/150.93 (step @p161 :rule refl :args (@t1)) % 150.41/150.93 (step @p162 :rule beta-reduce :args ((= @t179 @t168))) % 150.41/150.93 (step @p163 :rule refl :args (@t169)) % 150.41/150.93 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t180)) % 150.41/150.93 (step @p165 :rule cong :premises (@p164) :args (@t181)) % 150.41/150.93 (step @p166 :rule beta-reduce :args ((= (_ @t183 @t178) @t181))) % 150.41/150.93 (step @p167 :rule trans :premises (@p166 @p165)) % 150.41/150.93 (step @p168 :rule refl :args (@t162)) % 150.41/150.93 (step @p169 :rule refl :args (@t184)) % 150.41/150.93 (step @p170 :rule cong :premises (@p169 @p168) :args ((= @t184 @t162))) % 150.41/150.93 (step @p171 :rule symm :premises (@p170)) % 150.41/150.93 (step @p172 :rule eq_resolve :premises (@p169 @p171)) % 150.41/150.93 (step @p173 :rule refl :args (@t163)) % 150.41/150.93 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t185)) % 150.41/150.93 (step @p175 :rule cong :premises (@p174) :args ((forall @t88 @t185))) % 150.41/150.93 (step @p176 :rule refl :args (@t186)) % 150.41/150.93 (step @p177 :rule refl :args (@t163)) % 150.41/150.93 (step @p178 :rule nary_cong :premises (@p177 @p176) :args (@t187)) % 150.41/150.93 (step @p179 :rule cong :premises (@p178) :args (@t188)) % 150.41/150.93 (step @p180 :rule trans :premises (@p179 @p175)) % 150.41/150.93 (step @p181 :rule cong :premises (@p180) :args (@t189)) % 150.41/150.93 (step @p182 :rule beta-reduce :args ((= (_ @t191 @t3) @t189))) % 150.41/150.93 (step @p183 :rule trans :premises (@p182 @p181)) % 150.41/150.93 (step @p184 :rule refl :args (@t3)) % 150.41/150.93 (step @p185 :rule beta-reduce :args ((= @t193 @t191))) % 150.41/150.93 (step @p186 :rule ho_cong :premises (@p185 @p184)) % 150.41/150.93 (step @p187 :rule trans :premises (@p186 @p183)) % 150.41/150.93 (step @p188 :rule beta-reduce :args ((= @t195 @t183))) % 150.41/150.93 (step @p189 :rule ho_cong :premises (@p188 @p187)) % 150.41/150.93 (step @p190 :rule trans :premises (@p189 @p167)) % 150.41/150.93 (step @p191 :rule ho_cong :premises (@p190 @p161)) % 150.41/150.93 (step @p192 :rule trans :premises (@p191 @p160)) % 150.41/150.93 (step @p193 :rule cong :premises (@p192) :args ((lambda @t7 (_ (_ @t195 @t196) @t1)))) % 150.41/150.93 (step @p194 :rule refl :args (@t176)) % 150.41/150.93 (step @p195 :rule ho_cong :premises (@p194 @p193)) % 150.41/150.93 (step @p196 :rule trans :premises (@p195 @p159)) % 150.41/150.93 (step @p197 :rule refl :args (@t136)) % 150.41/150.93 (step @p198 :rule ho_cong :premises (@p197 @p196)) % 150.41/150.93 (step @p199 :rule trans :premises (@p198 @p131)) % 150.41/150.93 (step @p200 :rule refl :args (tptp.r4)) % 150.41/150.93 (step @p201 :rule refl :args (@t190)) % 150.41/150.93 (step @p202 :rule refl :args (@t83)) % 150.41/150.93 (step @p203 :rule cong :premises (@p202 @p201) :args ((= @t83 @t190))) % 150.41/150.93 (step @p204 :rule symm :premises (@p203)) % 150.41/150.93 (step @p205 :rule eq_resolve :premises (@p202 @p204)) % 150.41/150.93 (step @p206 :rule refl :args (@t192)) % 150.41/150.93 (step @p207 :rule refl :args (@t85)) % 150.41/150.93 (step @p208 :rule cong :premises (@p207 @p206) :args ((= @t85 @t192))) % 150.41/150.93 (step @p209 :rule symm :premises (@p208)) % 150.41/150.93 (step @p210 :rule eq_resolve :premises (@p207 @p209)) % 150.41/150.93 (step @p211 :rule cong :premises (@p210) :args (@t86)) % 150.41/150.93 (step @p212 :rule nary_cong :premises (@p211 @p205) :args (@t87)) % 150.41/150.93 (step @p213 :rule cong :premises (@p212) :args (@t89)) % 150.41/150.93 (step @p214 :rule cong :premises (@p213) :args (@t91)) % 150.41/150.93 (step @p215 :rule trans :premises (@p84 @p214)) % 150.41/150.93 (step @p216 :rule ho_cong :premises (@p215 @p200)) % 150.41/150.93 (step @p217 :rule ho_cong :premises (@p216 @p184)) % 150.41/150.93 (step @p218 :rule refl :args (@t6)) % 150.41/150.93 (step @p219 :rule beta-reduce :args ((= (_ @t198 @t1) @t194))) % 150.41/150.93 (step @p220 :rule beta-reduce :args ((= (_ (lambda @t199 @t197) @t54) @t198))) % 150.41/150.93 (step @p221 :rule refl :args (@t54)) % 150.41/150.93 (step @p222 :rule refl :args (@t55)) % 150.41/150.93 (step @p223 :rule beta-reduce :args ((= @t201 @t51))) % 150.41/150.93 (step @p224 :rule nary_cong :premises (@p223 @p222) :args (@t202)) % 150.41/150.93 (step @p225 :rule cong :premises (@p224) :args (@t203)) % 150.41/150.93 (step @p226 :rule beta-reduce :args ((= (_ @t56 @t200) @t203))) % 150.41/150.93 (step @p227 :rule trans :premises (@p226 @p225)) % 150.41/150.93 (step @p228 :rule beta-reduce :args ((= (_ @t53 @t24) @t200))) % 150.41/150.93 (step @p229 :rule refl :args (@t56)) % 150.41/150.93 (step @p230 :rule ho_cong :premises (@p229 @p228)) % 150.41/150.93 (step @p231 :rule trans :premises (@p230 @p227)) % 150.41/150.93 (step @p232 :rule ho_cong :premises (@p231 @p221)) % 150.41/150.93 (step @p233 :rule trans :premises (@p232 @p220)) % 150.41/150.93 (step @p234 :rule ho_cong :premises (@p233 @p161)) % 150.41/150.93 (step @p235 :rule trans :premises (@p234 @p219)) % 150.41/150.93 (step @p236 :rule refl :args (@t24)) % 150.41/150.93 (step @p237 :rule ho_cong :premises (@p72 @p236)) % 150.41/150.93 (step @p238 :rule ho_cong :premises (@p73 @p237)) % 150.41/150.93 (step @p239 :rule ho_cong :premises (@p238 @p221)) % 150.41/150.93 (step @p240 :rule ho_cong :premises (@p239 @p161)) % 150.41/150.93 (step @p241 :rule trans :premises (@p240 @p235)) % 150.41/150.93 (step @p242 :rule cong :premises (@p241) :args (@t61)) % 150.41/150.93 (step @p243 :rule trans :premises (@p75 @p242)) % 150.41/150.93 (step @p244 :rule ho_cong :premises (@p243 @p218)) % 150.41/150.93 (step @p245 :rule ho_cong :premises (@p244 @p217)) % 150.41/150.93 (step @p246 :rule ho_cong :premises (@p245 @p161)) % 150.41/150.93 (step @p247 :rule cong :premises (@p246) :args (@t8)) % 150.41/150.93 (step @p248 :rule refl :args (@t175)) % 150.41/150.93 (step @p249 :rule refl :args (@t67)) % 150.41/150.93 (step @p250 :rule cong :premises (@p249 @p248) :args ((= @t67 @t175))) % 150.41/150.93 (step @p251 :rule symm :premises (@p250)) % 150.41/150.93 (step @p252 :rule eq_resolve :premises (@p249 @p251)) % 150.41/150.93 (step @p253 :rule cong :premises (@p252) :args (@t69)) % 150.41/150.93 (step @p254 :rule cong :premises (@p253) :args (@t71)) % 150.41/150.93 (step @p255 :rule trans :premises (@p79 @p254)) % 150.41/150.93 (step @p256 :rule ho_cong :premises (@p255 @p247)) % 150.41/150.93 (step @p257 :rule ho_cong :premises (@p120 @p256)) % 150.41/150.93 (step @p258 :rule trans :premises (@p257 @p199)) % 150.41/150.93 (step @p259 :rule trans :premises (@p258 @p125)) % 150.41/150.93 (step @p260 :rule eq_resolve :premises (@p2 @p259)) % 150.41/150.93 (step @p261 :rule instantiate :premises (@p260) :args ((@list @t207 tptp.john @t210))) % 150.41/150.93 ; trust TRUST PREPROCESS_HO_ELIM % 150.41/150.93 (step @p262 :rule trust :premises () :args ((= (not (forall @t80 @t212)) @t211))) % 150.41/150.93 (step @p263 :rule beta-reduce :args ((= @t214 @t212))) % 150.41/150.93 (step @p264 :rule cong :premises (@p263) :args (@t215)) % 150.41/150.93 (step @p265 :rule beta-reduce :args ((= (_ @t136 @t213) @t215))) % 150.41/150.93 (step @p266 :rule trans :premises (@p265 @p264)) % 150.41/150.93 (step @p267 :rule beta-reduce :args ((= @t217 @t168))) % 150.41/150.93 (step @p268 :rule cong :premises (@p267) :args (@t218)) % 150.41/150.93 (step @p269 :rule cong :premises (@p268) :args (@t219)) % 150.41/150.93 (step @p270 :rule cong :premises (@p269) :args (@t220)) % 150.41/150.93 (step @p271 :rule cong :premises (@p270) :args (@t221)) % 150.41/150.93 (step @p272 :rule beta-reduce :args ((= (_ @t223 @t216) @t221))) % 150.41/150.93 (step @p273 :rule trans :premises (@p272 @p271)) % 150.41/150.93 (step @p274 :rule ho_cong :premises (@p187 @p161)) % 150.41/150.93 (step @p275 :rule trans :premises (@p274 @p162)) % 150.41/150.93 (step @p276 :rule cong :premises (@p275) :args (@t224)) % 150.41/150.93 (step @p277 :rule refl :args (@t223)) % 150.41/150.93 (step @p278 :rule ho_cong :premises (@p277 @p276)) % 150.41/150.93 (step @p279 :rule trans :premises (@p278 @p273)) % 150.41/150.93 (step @p280 :rule ho_cong :premises (@p197 @p279)) % 150.41/150.93 (step @p281 :rule trans :premises (@p280 @p266)) % 150.41/150.93 (step @p282 :rule cong :premises (@p281) :args ((not (_ @t136 (_ @t223 @t224))))) % 150.41/150.93 (step @p283 :rule ho_cong :premises (@p217 @p161)) % 150.41/150.93 (step @p284 :rule cong :premises (@p283) :args (@t42)) % 150.41/150.93 (step @p285 :rule beta-reduce :args ((= (_ (lambda @t80 (not @t225)) @t1) @t222))) % 150.41/150.93 (step @p286 :rule beta-reduce :args ((= @t227 @t225))) % 150.41/150.93 (step @p287 :rule cong :premises (@p286) :args (@t228)) % 150.41/150.93 (step @p288 :rule cong :premises (@p287) :args (@t229)) % 150.41/150.93 (step @p289 :rule beta-reduce :args ((= (_ @t53 @t226) @t229))) % 150.41/150.93 (step @p290 :rule trans :premises (@p289 @p288)) % 150.41/150.93 (step @p291 :rule cong :premises (@p252) :args (@t230)) % 150.41/150.93 (step @p292 :rule cong :premises (@p291) :args ((forall @t68 @t230))) % 150.41/150.93 (step @p293 :rule beta-reduce :args ((= @t233 @t230))) % 150.41/150.93 (step @p294 :rule cong :premises (@p293) :args (@t234)) % 150.41/150.93 (step @p295 :rule trans :premises (@p294 @p292)) % 150.41/150.93 (step @p296 :rule cong :premises (@p295) :args (@t235)) % 150.41/150.93 (step @p297 :rule beta-reduce :args ((= (_ @t176 @t232) @t235))) % 150.41/150.93 (step @p298 :rule trans :premises (@p297 @p296)) % 150.41/150.93 (step @p299 :rule beta-reduce :args ((= (_ @t236 @t1) @t231))) % 150.41/150.93 (step @p300 :rule beta-reduce :args ((= @t237 @t236))) % 150.41/150.93 (step @p301 :rule ho_cong :premises (@p300 @p161)) % 150.41/150.93 (step @p302 :rule trans :premises (@p301 @p299)) % 150.41/150.93 (step @p303 :rule cong :premises (@p302) :args ((lambda @t7 (_ @t237 @t1)))) % 150.41/150.93 (step @p304 :rule ho_cong :premises (@p194 @p303)) % 150.41/150.93 (step @p305 :rule trans :premises (@p304 @p298)) % 150.41/150.93 (step @p306 :rule refl :args (@t53)) % 150.41/150.93 (step @p307 :rule ho_cong :premises (@p306 @p305)) % 150.41/150.93 (step @p308 :rule trans :premises (@p307 @p290)) % 150.41/150.94 (step @p309 :rule ho_cong :premises (@p308 @p161)) % 150.41/150.94 (step @p310 :rule trans :premises (@p309 @p285)) % 150.41/150.94 (step @p311 :rule refl :args (@t66)) % 150.41/150.94 (step @p312 :rule ho_cong :premises (@p72 @p311)) % 150.41/150.94 (step @p313 :rule ho_cong :premises (@p312 @p161)) % 150.41/150.94 (step @p314 :rule cong :premises (@p313) :args (@t76)) % 150.41/150.94 (step @p315 :rule ho_cong :premises (@p255 @p314)) % 150.41/150.94 (step @p316 :rule ho_cong :premises (@p72 @p315)) % 150.41/150.94 (step @p317 :rule ho_cong :premises (@p316 @p161)) % 150.41/150.94 (step @p318 :rule trans :premises (@p317 @p310)) % 150.41/150.94 (step @p319 :rule cong :premises (@p318) :args (@t78)) % 150.41/150.94 (step @p320 :rule trans :premises (@p81 @p319)) % 150.41/150.94 (step @p321 :rule ho_cong :premises (@p320 @p284)) % 150.41/150.94 (step @p322 :rule ho_cong :premises (@p120 @p321)) % 150.41/150.94 (step @p323 :rule cong :premises (@p322) :args (@t43)) % 150.41/150.94 (step @p324 :rule trans :premises (@p323 @p282)) % 150.41/150.94 (step @p325 :rule trans :premises (@p324 @p262)) % 150.41/150.94 (step @p326 :rule eq_resolve :premises (@p68 @p325)) % 150.41/150.94 (step @p327 :rule refl :args (@t238)) % 150.41/150.94 (step @p328 :rule bool-double-not-elim :args (@t206)) % 150.41/150.94 (step @p329 :rule nary_cong :premises (@p328 @p327) :args ((or (not @t211) @t238))) % 150.41/150.94 (step @p330 :rule bool-double-not-elim :args (@t238)) % 150.41/150.94 (step @p331 :rule refl :args (@t211)) % 150.41/150.94 (step @p332 :rule cong :premises (@p331 @p330) :args ((=> @t211 @t239))) % 150.41/150.94 (assume-push @p361 @t211) % 150.41/150.94 (step @p334 :rule skolemize :premises (@p326)) % 150.41/150.94 (step-pop @p362 :rule scope :premises (@p334)) % 150.41/150.94 (step @p335 :rule process_scope :premises (@p362) :args (@t239)) % 150.41/150.94 (step @p337 :rule eq_resolve :premises (@p335 @p332)) % 150.41/150.94 (step @p338 :rule implies_elim :premises (@p337)) % 150.41/150.94 (step @p339 :rule eq_resolve :premises (@p338 @p329)) % 150.41/150.94 (step @p340 :rule chain_m_resolution :premises (@p339 @p326) :args (@t238 @t240 (@list @t206))) % 150.41/150.94 (step @p341 :rule instantiate :premises (@p340) :args ((@list tptp.john))) % 150.41/150.94 (step @p342 :rule skolemize :premises (@p341)) % 150.41/150.94 (step @p343 :rule cnf_or_neg :args (@t244 1)) % 150.41/150.94 (step @p344 :rule chain_m_resolution :premises (@p343 @p342) :args ((not @t241) @t240 @t245)) % 150.41/150.94 (step @p345 :rule bool-double-not-elim :args (@t242)) % 150.41/150.94 (step @p346 :rule refl :args (@t244)) % 150.41/150.94 (step @p347 :rule nary_cong :premises (@p346 @p345) :args ((or @t244 (not @t243)))) % 150.41/150.94 (step @p348 :rule cnf_or_neg :args (@t244 0)) % 150.41/150.94 (step @p349 :rule eq_resolve :premises (@p348 @p347)) % 150.41/150.94 (step @p350 :rule reordering :premises (@p349) :args ((or @t242 @t244))) % 150.41/150.94 (step @p351 :rule chain_m_resolution :premises (@p350 @p342) :args (@t242 @t240 @t245)) % 150.41/150.94 (step @p352 :rule cnf_or_pos :args (@t248)) % 150.41/150.94 (step @p353 :rule reordering :premises (@p352) :args ((or @t243 @t241 @t247 (not @t248)))) % 150.41/150.94 (step @p354 :rule chain_m_resolution :premises (@p353 @p351 @p344 @p261) :args (@t247 (@list false true false) (@list @t242 @t241 @t248))) % 150.41/150.94 (assume-push @p363 @t130) % 150.41/150.94 (step @p356 :rule instantiate :premises (@p124) :args ((@list @t207))) % 150.41/150.94 (step-pop @p364 :rule scope :premises (@p356)) % 150.41/150.94 (step @p357 :rule process_scope :premises (@p364) :args (@t246)) % 150.41/150.94 (step @p359 :rule implies_elim :premises (@p357)) % 150.41/150.94 (step @p360 false :rule chain_m_resolution :premises (@p359 @p354 @p124) :args (false (@list true false) (@list @t246 @t130))) % 150.41/150.94 ) % 150.41/150.94 % SZS output end Proof % 150.41/150.94 % cvc5 exiting %------------------------------------------------------------------------------