%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : AGT035^1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:04:48 AM UTC 2026 % Result : Theorem 0.37s 0.78s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : AGT035^1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n014.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 01:35:28 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.52 %----Proving TH0 % 0.37/0.78 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.78 % SZS status Theorem % 0.37/0.78 % SZS output start Proof % 0.37/0.78 ( % 0.37/0.78 (declare-sort $$unsorted 0) % 0.37/0.78 (declare-sort tptp.mu 0) % 0.37/0.78 (declare-const tptp.possibly_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.very_much_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.beer tptp.mu) % 0.37/0.78 (declare-const tptp.cola tptp.mu) % 0.37/0.78 (declare-const tptp.jan tptp.mu) % 0.37/0.78 (declare-const tptp.likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.a1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.pepsi tptp.mu) % 0.37/0.78 (declare-const tptp.piotr tptp.mu) % 0.37/0.78 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.a2 (-> $$unsorted $$unsorted Bool)) % 0.37/0.78 (declare-const tptp.a3 (-> $$unsorted $$unsorted Bool)) % 0.37/0.78 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.37/0.78 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.78 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.37/0.78 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.78 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.37/0.78 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.37/0.78 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.37/0.78 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.37/0.78 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.37/0.78 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.37/0.78 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.37/0.78 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.37/0.78 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.37/0.78 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.37/0.78 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.37/0.78 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.37/0.78 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.37/0.78 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.78 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.78 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.37/0.78 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.37/0.78 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.37/0.78 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.37/0.78 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.37/0.78 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.37/0.78 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.37/0.78 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.78 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.78 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.78 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.78 (define tptp.subrel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R2" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R1" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))) % 0.37/0.78 (define tptp.cond4s () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R2" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "V" $$unsorted))) (let ((_let_5 (@var "R1" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_5 _let_3) (forall (@list _let_2 _let_4 _let_1) (=> (and (_ (_ _let_5 _let_2) _let_4) (_ (_ _let_3 _let_4) _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.37/0.78 (define @t1 () (_ tptp.likes tptp.jan)) % 0.37/0.78 (define @t2 () (_ @t1 tptp.cola)) % 0.37/0.78 (define @t3 () (_ tptp.mbox tptp.a1)) % 0.37/0.78 (define @t4 () (_ tptp.likes tptp.piotr)) % 0.37/0.78 (define @t5 () (_ @t4 tptp.pepsi)) % 0.37/0.78 (define @t6 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.78 (define @t7 () (@var "X" tptp.mu)) % 0.37/0.78 (define @t8 () (_ tptp.likes @t7)) % 0.37/0.78 (define @t9 () (_ @t8 tptp.cola)) % 0.37/0.78 (define @t10 () (_ @t8 tptp.pepsi)) % 0.37/0.78 (define @t11 () (_ tptp.mdia tptp.a1)) % 0.37/0.78 (define @t12 () (@list @t7 @t6)) % 0.37/0.78 (define @t13 () (_ tptp.mbox tptp.a2)) % 0.37/0.78 (define @t14 () (_ @t4 tptp.beer)) % 0.37/0.78 (define @t15 () (_ tptp.mbox tptp.a3)) % 0.37/0.78 (define @t16 () (_ tptp.mdia tptp.a3)) % 0.37/0.78 (define @t17 () (@var "Y" tptp.mu)) % 0.37/0.78 (define @t18 () (_ (_ tptp.very_much_likes @t7) @t17)) % 0.37/0.78 (define @t19 () (_ @t8 @t17)) % 0.37/0.78 (define @t20 () (@list @t17 @t6)) % 0.37/0.78 (define @t21 () (_ (_ tptp.possibly_likes @t7) @t17)) % 0.37/0.78 (define @t22 () (_ tptp.subrel tptp.a1)) % 0.37/0.78 (define @t23 () (_ tptp.cond4s tptp.a1)) % 0.37/0.78 (define @t24 () (_ tptp.cond4s tptp.a2)) % 0.37/0.78 (define @t25 () (not (_ tptp.mvalid @t2))) % 0.37/0.78 (define @t26 () (@var "W" $$unsorted)) % 0.37/0.78 (define @t27 () (lambda (@list @t7 @t17 @t26) (= @t7 @t17))) % 0.37/0.78 (define @t28 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.78 (define @t29 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.78 (define @t30 () (lambda (@list @t29 @t28 @t26) (= (_ @t29 @t26) (_ @t28 @t26)))) % 0.37/0.78 (define @t31 () (@var "Phi" (-> $$unsorted Bool))) % 0.37/0.78 (define @t32 () (_ @t31 @t26)) % 0.37/0.78 (define @t33 () (not @t32)) % 0.37/0.78 (define @t34 () (@list @t31 @t26)) % 0.37/0.78 (define @t35 () (lambda @t34 @t33)) % 0.37/0.78 (define @t36 () (@var "Psi" (-> $$unsorted Bool))) % 0.37/0.78 (define @t37 () (lambda (@list @t31 @t36 @t26) (or @t32 (_ @t36 @t26)))) % 0.37/0.78 (define @t38 () (_ tptp.mnot @t36)) % 0.37/0.78 (define @t39 () (_ tptp.mnot @t31)) % 0.37/0.78 (define @t40 () (_ tptp.mor @t39)) % 0.37/0.78 (define @t41 () (@list @t31 @t36 @t6)) % 0.37/0.78 (define @t42 () (lambda @t41 (_ (_ tptp.mnot (_ @t40 @t38)) @t6))) % 0.37/0.78 (define @t43 () (lambda @t41 (_ (_ @t40 @t36) @t6))) % 0.37/0.78 (define @t44 () (lambda @t41 (_ (_ (_ tptp.mor @t38) @t31) @t6))) % 0.37/0.78 (define @t45 () (lambda @t41 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t31) @t36)) (_ (_ tptp.mimplies @t36) @t31)) @t6))) % 0.37/0.78 (define @t46 () (lambda @t41 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t31) @t36)) @t6))) % 0.37/0.78 (define @t47 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.37/0.78 (define @t48 () (_ @t47 @t7)) % 0.37/0.78 (define @t49 () (lambda (@list @t47 @t26) (forall (@list @t7) (_ @t48 @t26)))) % 0.37/0.78 (define @t50 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.78 (define @t51 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.37/0.78 (define @t52 () (_ @t51 @t50)) % 0.37/0.78 (define @t53 () (lambda (@list @t51 @t26) (forall (@list @t50) (_ @t52 @t26)))) % 0.37/0.78 (define @t54 () (lambda (@list @t47 @t6) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mnot @t48) @t6)))) @t6))) % 0.37/0.78 (define @t55 () (lambda (@list @t51 @t6) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t50 @t6) (_ (_ tptp.mnot @t52) @t6)))) @t6))) % 0.37/0.78 (define @t56 () (@list @t26)) % 0.37/0.78 (define @t57 () (lambda @t56 true)) % 0.37/0.78 (define @t58 () (@var "V" $$unsorted)) % 0.37/0.78 (define @t59 () (_ @t31 @t58)) % 0.37/0.78 (define @t60 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.78 (define @t61 () (_ (_ @t60 @t26) @t58)) % 0.37/0.78 (define @t62 () (not @t61)) % 0.37/0.78 (define @t63 () (or @t62 @t59)) % 0.37/0.78 (define @t64 () (@list @t58)) % 0.37/0.78 (define @t65 () (forall @t64 @t63)) % 0.37/0.78 (define @t66 () (@list @t60 @t31 @t26)) % 0.37/0.78 (define @t67 () (lambda @t66 @t65)) % 0.37/0.78 (define @t68 () (@list @t60 @t31 @t6)) % 0.37/0.78 (define @t69 () (lambda @t68 (_ (_ tptp.mnot (_ (_ tptp.mbox @t60) @t39)) @t6))) % 0.37/0.78 (define @t70 () (@var "S" $$unsorted)) % 0.37/0.78 (define @t71 () (_ @t60 @t70)) % 0.37/0.78 (define @t72 () (@list @t70)) % 0.37/0.78 (define @t73 () (@list @t60)) % 0.37/0.78 (define @t74 () (lambda @t73 (forall @t72 (_ @t71 @t70)))) % 0.37/0.78 (define @t75 () (@var "T" $$unsorted)) % 0.37/0.78 (define @t76 () (_ @t60 @t75)) % 0.37/0.78 (define @t77 () (_ @t76 @t70)) % 0.37/0.78 (define @t78 () (_ @t71 @t75)) % 0.37/0.78 (define @t79 () (@list @t70 @t75)) % 0.37/0.78 (define @t80 () (forall @t79 (=> @t78 @t77))) % 0.37/0.78 (define @t81 () (lambda @t73 @t80)) % 0.37/0.78 (define @t82 () (@list @t75)) % 0.37/0.78 (define @t83 () (lambda @t73 (forall @t72 (exists @t82 @t78)))) % 0.37/0.78 (define @t84 () (@var "U" $$unsorted)) % 0.37/0.78 (define @t85 () (_ @t71 @t84)) % 0.37/0.78 (define @t86 () (_ @t76 @t84)) % 0.37/0.78 (define @t87 () (@list @t70 @t75 @t84)) % 0.37/0.78 (define @t88 () (lambda @t73 (forall @t87 (=> (and @t78 @t86) @t85)))) % 0.37/0.78 (define @t89 () (and @t78 @t85)) % 0.37/0.78 (define @t90 () (lambda @t73 (forall @t87 (=> @t89 @t86)))) % 0.37/0.78 (define @t91 () (= @t75 @t84)) % 0.37/0.78 (define @t92 () (lambda @t73 (forall @t87 (=> @t89 @t91)))) % 0.37/0.78 (define @t93 () (@list @t84)) % 0.37/0.78 (define @t94 () (lambda @t73 (forall @t72 (exists @t82 (and @t78 (forall @t93 (=> @t85 @t91))))))) % 0.37/0.78 (define @t95 () (_ @t60 @t84)) % 0.37/0.78 (define @t96 () (_ @t95 @t75)) % 0.37/0.78 (define @t97 () (lambda @t73 (forall @t87 (=> @t78 (exists @t93 (and @t85 @t96)))))) % 0.37/0.78 (define @t98 () (lambda @t73 (forall @t87 (=> @t89 (or @t86 @t91 @t96))))) % 0.37/0.78 (define @t99 () (lambda @t73 (forall @t87 (=> @t89 (exists @t64 (and (_ @t76 @t58) (_ @t95 @t58))))))) % 0.37/0.78 (define @t100 () (forall @t56 @t32)) % 0.37/0.78 (define @t101 () (@list @t31)) % 0.37/0.78 (define @t102 () (lambda @t101 @t100)) % 0.37/0.78 (define @t103 () (lambda @t101 (forall @t56 @t33))) % 0.37/0.78 (define @t104 () (lambda @t101 (exists @t56 @t32))) % 0.37/0.78 (define @t105 () (lambda @t101 (exists @t56 @t33))) % 0.37/0.78 (define @t106 () (@var "Y" $$unsorted)) % 0.37/0.78 (define @t107 () (@var "X" $$unsorted)) % 0.37/0.78 (define @t108 () (@var "R2" (-> $$unsorted $$unsorted Bool))) % 0.37/0.78 (define @t109 () (@var "R1" (-> $$unsorted $$unsorted Bool))) % 0.37/0.78 (define @t110 () (@list @t109 @t108)) % 0.37/0.78 (define @t111 () (lambda @t110 (forall (@list @t107 @t106) (=> (_ (_ @t109 @t107) @t106) (_ (_ @t108 @t107) @t106))))) % 0.37/0.78 (define @t112 () (lambda @t110 (forall (@list @t84 @t58 @t26) (=> (and (_ (_ @t109 @t84) @t58) (_ (_ @t108 @t58) @t26)) (_ (_ @t108 @t84) @t26))))) % 0.37/0.78 (define @t113 () (tptp.likes tptp.jan tptp.cola @t58)) % 0.37/0.78 (define @t114 () (not (tptp.a1 @t26 @t58))) % 0.37/0.78 (define @t115 () (or @t114 @t113)) % 0.37/0.78 (define @t116 () (forall (@list @t26 @t58) @t115)) % 0.37/0.78 (define @t117 () (forall @t64 @t115)) % 0.37/0.78 (define @t118 () (lambda @t56 @t117)) % 0.37/0.78 (define @t119 () (_ @t118 @t26)) % 0.37/0.78 (define @t120 () (forall @t56 @t119)) % 0.37/0.78 (define @t121 () (_ @t31 @t26)) % 0.37/0.78 (define @t122 () (lambda @t101 (forall @t56 @t121))) % 0.37/0.78 (define @t123 () (_ @t2 @t58)) % 0.37/0.78 (define @t124 () (or @t114 @t123)) % 0.37/0.78 (define @t125 () (_ @t2 @t58)) % 0.37/0.78 (define @t126 () (or @t114 @t125)) % 0.37/0.78 (define @t127 () (forall @t64 @t126)) % 0.37/0.78 (define @t128 () (lambda @t56 @t127)) % 0.37/0.78 (define @t129 () (_ @t31 @t58)) % 0.37/0.78 (define @t130 () (lambda @t34 (forall @t64 (or @t114 @t129)))) % 0.37/0.78 (define @t131 () (_ @t60 @t26 @t58)) % 0.37/0.78 (define @t132 () (not @t131)) % 0.37/0.78 (define @t133 () (forall @t64 (or @t132 @t129))) % 0.37/0.78 (define @t134 () (lambda @t66 @t133)) % 0.37/0.78 (define @t135 () (_ @t60 @t75 @t70)) % 0.37/0.78 (define @t136 () (_ @t60 @t70 @t75)) % 0.37/0.78 (define @t137 () (not @t78)) % 0.37/0.78 (define @t138 () (or @t137 @t77)) % 0.37/0.78 (define @t139 () (tptp.likes tptp.piotr tptp.beer @t58)) % 0.37/0.78 (define @t140 () (not @t139)) % 0.37/0.78 (define @t141 () (tptp.likes tptp.jan tptp.cola @t26)) % 0.37/0.78 (define @t142 () (@quantifiers_skolemize (forall @t56 @t141) 0)) % 0.37/0.78 (define @t143 () (@quantifiers_skolemize (forall @t64 (or (not (tptp.a1 @t142 @t58)) @t140)) 0)) % 0.37/0.78 (define @t144 () (not (tptp.a1 @t6 @t58))) % 0.37/0.78 (define @t145 () (@list @t6)) % 0.37/0.78 (define @t146 () (lambda @t145 (not (forall @t64 (or @t144 @t140))))) % 0.37/0.78 (define @t147 () (_ @t146 @t26)) % 0.37/0.78 (define @t148 () (forall @t56 @t147)) % 0.37/0.78 (define @t149 () (_ @t14 @t58)) % 0.37/0.78 (define @t150 () (not @t149)) % 0.37/0.78 (define @t151 () (or @t144 @t150)) % 0.37/0.78 (define @t152 () (_ @t14 @t58)) % 0.37/0.78 (define @t153 () (not @t152)) % 0.37/0.78 (define @t154 () (or @t144 @t153)) % 0.37/0.78 (define @t155 () (forall @t64 @t154)) % 0.37/0.78 (define @t156 () (not @t155)) % 0.37/0.78 (define @t157 () (lambda @t145 @t156)) % 0.37/0.78 (define @t158 () (not @t129)) % 0.37/0.78 (define @t159 () (lambda (@list @t31 @t6) (not (forall @t64 (or @t144 @t158))))) % 0.37/0.78 (define @t160 () (not (forall @t64 (or (not (_ @t60 @t6 @t58)) @t158)))) % 0.37/0.78 (define @t161 () (forall @t64 (or @t132 @t158))) % 0.37/0.78 (define @t162 () (lambda @t56 @t161)) % 0.37/0.78 (define @t163 () (_ @t162 @t26)) % 0.37/0.78 (define @t164 () (not @t163)) % 0.37/0.78 (define @t165 () (lambda @t56 @t164)) % 0.37/0.78 (define @t166 () (not @t59)) % 0.37/0.78 (define @t167 () (or @t132 @t166)) % 0.37/0.78 (define @t168 () (lambda @t56 @t33)) % 0.37/0.78 (define @t169 () (_ @t168 @t58)) % 0.37/0.78 (define @t170 () (or @t132 @t169)) % 0.37/0.78 (define @t171 () (forall @t64 @t170)) % 0.37/0.78 (define @t172 () (lambda @t56 @t171)) % 0.37/0.78 (define @t173 () (lambda @t34 @t133)) % 0.37/0.78 (define @t174 () (tptp.a1 @t142 @t143)) % 0.37/0.78 (define @t175 () (not @t174)) % 0.37/0.78 (define @t176 () (or @t175 (not (tptp.likes tptp.piotr tptp.beer @t143)))) % 0.37/0.78 (define @t177 () (tptp.a1 @t143 @t142)) % 0.37/0.78 (define @t178 () (or @t175 @t177)) % 0.37/0.78 (define @t179 () (_ @t2 @t26)) % 0.37/0.78 (define @t180 () (_ @t2 @t26)) % 0.37/0.78 (define @t181 () (forall @t56 @t180)) % 0.37/0.78 (define @t182 () (_ @t122 @t2)) % 0.37/0.78 (define @t183 () (tptp.likes tptp.jan tptp.cola @t142)) % 0.37/0.78 (define @t184 () (not @t177)) % 0.37/0.78 (define @t185 () (or @t184 @t183)) % 0.37/0.78 (define @t186 () (not @t185)) % 0.37/0.78 (define @t187 () (@list true false)) % 0.37/0.78 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.37/0.78 (assume @p2 (_ tptp.mvalid (_ @t3 @t2))) % 0.37/0.78 (assume @p3 (_ tptp.mvalid (_ @t3 @t5))) % 0.37/0.78 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t10)) @t9)) @t6))))) % 0.37/0.78 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t9)) @t10)) @t6))))) % 0.37/0.78 (assume @p6 (_ tptp.mvalid (_ @t13 (_ @t1 tptp.pepsi)))) % 0.37/0.78 (assume @p7 (_ tptp.mvalid (_ @t3 (_ @t4 tptp.cola)))) % 0.37/0.78 (assume @p8 (_ tptp.mvalid (_ @t3 @t14))) % 0.37/0.78 (assume @p9 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t13 (_ (_ tptp.mimplies @t10) @t9)) @t6))))) % 0.37/0.78 (assume @p10 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t13 (_ (_ tptp.mimplies @t9) @t10)) @t6))))) % 0.37/0.78 (assume @p11 (_ tptp.mvalid (_ @t15 @t2))) % 0.37/0.78 (assume @p12 (_ tptp.mvalid (_ @t16 @t5))) % 0.37/0.78 (assume @p13 (_ tptp.mvalid (_ @t11 @t14))) % 0.37/0.78 (assume @p14 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ @t15 (_ (_ tptp.mimplies (_ (_ tptp.mand @t19) (_ (_ tptp.mand (_ @t3 @t19)) (_ @t13 @t19)))) @t18)) @t6))) @t6))))) % 0.37/0.78 (assume @p15 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t15 @t18)) @t18) @t6))) @t6))))) % 0.37/0.78 (assume @p16 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t16 @t18)) @t19) @t6))) @t6))))) % 0.37/0.78 (assume @p17 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t11 @t19)) @t21) @t6))) @t6))))) % 0.37/0.78 (assume @p18 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ (_ tptp.mdia tptp.a2) @t19)) @t21) @t6))) @t6))))) % 0.37/0.78 (assume @p19 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t16 @t19)) @t21) @t6))) @t6))))) % 0.37/0.78 (assume @p20 (_ tptp.msymmetric tptp.a1)) % 0.37/0.78 (assume @p21 (_ tptp.msymmetric tptp.a2)) % 0.37/0.78 (assume @p22 (_ tptp.msymmetric tptp.a3)) % 0.37/0.78 (assume @p23 (_ tptp.mserial tptp.a1)) % 0.37/0.78 (assume @p24 (_ tptp.mserial tptp.a2)) % 0.37/0.78 (assume @p25 (_ tptp.mserial tptp.a3)) % 0.37/0.78 (assume @p26 (_ @t22 tptp.a2)) % 0.37/0.78 (assume @p27 (_ @t22 tptp.a3)) % 0.37/0.78 (assume @p28 (_ (_ tptp.subrel tptp.a2) tptp.a3)) % 0.37/0.78 (assume @p29 (_ @t23 tptp.a1)) % 0.37/0.78 (assume @p30 (_ @t23 tptp.a2)) % 0.37/0.78 (assume @p31 (_ @t23 tptp.a3)) % 0.37/0.78 (assume @p32 (_ @t24 tptp.a1)) % 0.37/0.78 (assume @p33 (_ @t24 tptp.a2)) % 0.37/0.78 (assume @p34 (_ @t24 tptp.a3)) % 0.37/0.78 (assume @p35 (_ (_ tptp.cond4s tptp.a3) tptp.a3)) % 0.37/0.78 (assume @p36 (_ tptp.meuclidean tptp.a1)) % 0.37/0.78 (assume @p37 (_ tptp.meuclidean tptp.a2)) % 0.37/0.78 (assume @p38 (_ tptp.meuclidean tptp.a3)) % 0.37/0.78 (assume @p39 @t25) % 0.37/0.78 (assume @p40 true) % 0.37/0.78 (step @p41 (= tptp.meq_ind @t27) :rule refl :args (@t27)) % 0.37/0.78 (step @p42 (= tptp.meq_prop @t30) :rule refl :args (@t30)) % 0.37/0.78 (step @p43 (= tptp.mnot @t35) :rule refl :args (@t35)) % 0.37/0.78 (step @p44 (= tptp.mor @t37) :rule refl :args (@t37)) % 0.37/0.78 (step @p45 (= tptp.mand @t42) :rule refl :args (@t42)) % 0.37/0.78 (step @p46 (= tptp.mimplies @t43) :rule refl :args (@t43)) % 0.37/0.78 (step @p47 (= tptp.mimplied @t44) :rule refl :args (@t44)) % 0.37/0.78 (step @p48 (= tptp.mequiv @t45) :rule refl :args (@t45)) % 0.37/0.78 (step @p49 (= tptp.mxor @t46) :rule refl :args (@t46)) % 0.37/0.78 (step @p50 (= tptp.mforall_ind @t49) :rule refl :args (@t49)) % 0.37/0.78 (step @p51 (= tptp.mforall_prop @t53) :rule refl :args (@t53)) % 0.37/0.78 (step @p52 (= tptp.mexists_ind @t54) :rule refl :args (@t54)) % 0.37/0.78 (step @p53 (= tptp.mexists_prop @t55) :rule refl :args (@t55)) % 0.37/0.78 (step @p54 (= tptp.mtrue @t57) :rule refl :args (@t57)) % 0.37/0.78 (step @p55 (= tptp.mbox @t67) :rule refl :args (@t67)) % 0.37/0.78 (step @p56 (= tptp.mdia @t69) :rule refl :args (@t69)) % 0.37/0.78 (step @p57 (= tptp.mreflexive @t74) :rule refl :args (@t74)) % 0.37/0.78 (step @p58 (= tptp.msymmetric @t81) :rule refl :args (@t81)) % 0.37/0.78 (step @p59 (= tptp.mserial @t83) :rule refl :args (@t83)) % 0.37/0.78 (step @p60 (= tptp.mtransitive @t88) :rule refl :args (@t88)) % 0.37/0.78 (step @p61 (= tptp.meuclidean @t90) :rule refl :args (@t90)) % 0.37/0.78 (step @p62 (= tptp.mpartially_functional @t92) :rule refl :args (@t92)) % 0.37/0.78 (step @p63 (= tptp.mfunctional @t94) :rule refl :args (@t94)) % 0.37/0.78 (step @p64 (= tptp.mweakly_dense @t97) :rule refl :args (@t97)) % 0.37/0.78 (step @p65 (= tptp.mweakly_connected @t98) :rule refl :args (@t98)) % 0.37/0.78 (step @p66 (= tptp.mweakly_directed @t99) :rule refl :args (@t99)) % 0.37/0.78 (step @p67 (= tptp.mvalid @t102) :rule refl :args (@t102)) % 0.37/0.78 (step @p68 (= tptp.minvalid @t103) :rule refl :args (@t103)) % 0.37/0.78 (step @p69 (= tptp.msatisfiable @t104) :rule refl :args (@t104)) % 0.37/0.78 (step @p70 (= tptp.mcountersatisfiable @t105) :rule refl :args (@t105)) % 0.37/0.78 (step @p71 (= tptp.subrel @t111) :rule refl :args (@t111)) % 0.37/0.78 (step @p72 (= tptp.cond4s @t112) :rule refl :args (@t112)) % 0.37/0.78 (step @p73 :rule quant-merge-prenex :args ((= (forall @t56 @t117) @t116))) % 0.37/0.78 (step @p74 :rule beta-reduce :args ((= @t119 @t117))) % 0.37/0.78 (step @p75 :rule cong :premises (@p74) :args (@t120)) % 0.37/0.78 (step @p76 :rule trans :premises (@p75 @p73)) % 0.37/0.78 (step @p77 :rule beta-reduce :args ((= (_ @t122 @t118) @t120))) % 0.37/0.78 (step @p78 :rule trans :premises (@p77 @p76)) % 0.37/0.78 (step @p79 :rule refl :args (@t113)) % 0.37/0.78 (step @p80 :rule refl :args (@t123)) % 0.37/0.78 (step @p81 :rule cong :premises (@p80 @p79) :args ((= @t123 @t113))) % 0.37/0.78 (step @p82 :rule symm :premises (@p81)) % 0.37/0.78 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 0.37/0.78 (step @p84 :rule refl :args (@t114)) % 0.37/0.78 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t124)) % 0.37/0.78 (step @p86 :rule cong :premises (@p85) :args ((forall @t64 @t124))) % 0.37/0.78 (step @p87 :rule refl :args (@t125)) % 0.37/0.78 (step @p88 :rule refl :args (@t114)) % 0.37/0.78 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t126)) % 0.37/0.78 (step @p90 :rule cong :premises (@p89) :args (@t127)) % 0.37/0.78 (step @p91 :rule trans :premises (@p90 @p86)) % 0.37/0.78 (step @p92 :rule cong :premises (@p91) :args (@t128)) % 0.37/0.78 (step @p93 :rule beta-reduce :args ((= (_ @t130 @t2) @t128))) % 0.37/0.78 (step @p94 :rule trans :premises (@p93 @p92)) % 0.37/0.78 (step @p95 :rule refl :args (@t2)) % 0.37/0.78 (step @p96 :rule beta-reduce :args ((= (_ @t134 tptp.a1) @t130))) % 0.37/0.78 (step @p97 :rule ho_cong :premises (@p96 @p95)) % 0.37/0.78 (step @p98 :rule trans :premises (@p97 @p94)) % 0.37/0.78 (step @p99 :rule refl :args (@t122)) % 0.37/0.78 (step @p100 :rule ho_cong :premises (@p99 @p98)) % 0.37/0.78 (step @p101 :rule trans :premises (@p100 @p78)) % 0.37/0.78 (step @p102 :rule refl :args (tptp.a1)) % 0.37/0.78 (step @p103 :rule refl :args (@t129)) % 0.37/0.78 (step @p104 :rule refl :args (@t59)) % 0.37/0.78 (step @p105 :rule cong :premises (@p104 @p103) :args ((= @t59 @t129))) % 0.37/0.78 (step @p106 :rule symm :premises (@p105)) % 0.37/0.78 (step @p107 :rule eq_resolve :premises (@p104 @p106)) % 0.37/0.78 (step @p108 :rule refl :args (@t131)) % 0.37/0.78 (step @p109 :rule refl :args (@t61)) % 0.37/0.78 (step @p110 :rule cong :premises (@p109 @p108) :args ((= @t61 @t131))) % 0.37/0.78 (step @p111 :rule symm :premises (@p110)) % 0.37/0.78 (step @p112 :rule eq_resolve :premises (@p109 @p111)) % 0.37/0.78 (step @p113 :rule cong :premises (@p112) :args (@t62)) % 0.37/0.78 (step @p114 :rule nary_cong :premises (@p113 @p107) :args (@t63)) % 0.37/0.78 (step @p115 :rule cong :premises (@p114) :args (@t65)) % 0.37/0.78 (step @p116 :rule cong :premises (@p115) :args (@t67)) % 0.37/0.78 (step @p117 :rule trans :premises (@p55 @p116)) % 0.37/0.78 (step @p118 :rule ho_cong :premises (@p117 @p102)) % 0.37/0.78 (step @p119 :rule ho_cong :premises (@p118 @p95)) % 0.37/0.78 (step @p120 :rule refl :args (@t121)) % 0.37/0.78 (step @p121 :rule refl :args (@t32)) % 0.37/0.78 (step @p122 :rule cong :premises (@p121 @p120) :args ((= @t32 @t121))) % 0.37/0.78 (step @p123 :rule symm :premises (@p122)) % 0.37/0.78 (step @p124 :rule eq_resolve :premises (@p121 @p123)) % 0.37/0.78 (step @p125 :rule cong :premises (@p124) :args (@t100)) % 0.37/0.78 (step @p126 :rule cong :premises (@p125) :args (@t102)) % 0.37/0.78 (step @p127 :rule trans :premises (@p67 @p126)) % 0.37/0.78 (step @p128 :rule ho_cong :premises (@p127 @p119)) % 0.37/0.78 (step @p129 :rule trans :premises (@p128 @p101)) % 0.37/0.78 (step @p130 :rule eq_resolve :premises (@p2 @p129)) % 0.37/0.78 (step @p131 :rule beta-reduce :args ((= (_ (lambda @t73 (forall @t79 (or (not @t136) @t135))) tptp.a1) (forall @t79 (or (not (tptp.a1 @t70 @t75)) (tptp.a1 @t75 @t70)))))) % 0.37/0.78 (step @p132 :rule refl :args (@t135)) % 0.37/0.78 (step @p133 :rule refl :args (@t77)) % 0.37/0.78 (step @p134 :rule cong :premises (@p133 @p132) :args ((= @t77 @t135))) % 0.37/0.78 (step @p135 :rule symm :premises (@p134)) % 0.37/0.78 (step @p136 :rule eq_resolve :premises (@p133 @p135)) % 0.37/0.78 (step @p137 :rule refl :args (@t136)) % 0.37/0.78 (step @p138 :rule refl :args (@t78)) % 0.37/0.78 (step @p139 :rule cong :premises (@p138 @p137) :args ((= @t78 @t136))) % 0.37/0.78 (step @p140 :rule symm :premises (@p139)) % 0.37/0.78 (step @p141 :rule eq_resolve :premises (@p138 @p140)) % 0.37/0.78 (step @p142 :rule cong :premises (@p141) :args (@t137)) % 0.37/0.78 (step @p143 :rule nary_cong :premises (@p142 @p136) :args (@t138)) % 0.37/0.78 (step @p144 :rule cong :premises (@p143) :args ((forall @t79 @t138))) % 0.37/0.78 (step @p145 :rule bool-impl-elim :args (@t78 @t77)) % 0.37/0.78 (step @p146 :rule cong :premises (@p145) :args (@t80)) % 0.37/0.78 (step @p147 :rule trans :premises (@p146 @p144)) % 0.37/0.78 (step @p148 :rule cong :premises (@p147) :args (@t81)) % 0.37/0.78 (step @p149 :rule trans :premises (@p58 @p148)) % 0.37/0.78 (step @p150 :rule ho_cong :premises (@p149 @p102)) % 0.37/0.78 (step @p151 :rule trans :premises (@p150 @p131)) % 0.37/0.78 (step @p152 :rule eq_resolve :premises (@p20 @p151)) % 0.37/0.78 (step @p153 :rule instantiate :premises (@p152) :args ((@list @t142 @t143))) % 0.37/0.78 (step @p154 :rule beta-reduce :args ((= @t147 (not (forall @t64 (or @t114 @t140)))))) % 0.37/0.78 (step @p155 :rule cong :premises (@p154) :args (@t148)) % 0.37/0.78 (step @p156 :rule beta-reduce :args ((= (_ @t122 @t146) @t148))) % 0.37/0.78 (step @p157 :rule trans :premises (@p156 @p155)) % 0.37/0.78 (step @p158 :rule refl :args (@t139)) % 0.37/0.78 (step @p159 :rule refl :args (@t149)) % 0.37/0.78 (step @p160 :rule cong :premises (@p159 @p158) :args ((= @t149 @t139))) % 0.37/0.78 (step @p161 :rule symm :premises (@p160)) % 0.37/0.78 (step @p162 :rule eq_resolve :premises (@p159 @p161)) % 0.37/0.78 (step @p163 :rule cong :premises (@p162) :args (@t150)) % 0.37/0.78 (step @p164 :rule refl :args (@t144)) % 0.37/0.78 (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t151)) % 0.37/0.78 (step @p166 :rule cong :premises (@p165) :args ((forall @t64 @t151))) % 0.37/0.78 (step @p167 :rule refl :args (@t152)) % 0.37/0.78 (step @p168 :rule cong :premises (@p167) :args (@t153)) % 0.37/0.78 (step @p169 :rule refl :args (@t144)) % 0.37/0.78 (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t154)) % 0.37/0.78 (step @p171 :rule cong :premises (@p170) :args (@t155)) % 0.37/0.78 (step @p172 :rule trans :premises (@p171 @p166)) % 0.37/0.78 (step @p173 :rule cong :premises (@p172) :args (@t156)) % 0.37/0.78 (step @p174 :rule cong :premises (@p173) :args (@t157)) % 0.37/0.78 (step @p175 :rule beta-reduce :args ((= (_ @t159 @t14) @t157))) % 0.37/0.78 (step @p176 :rule trans :premises (@p175 @p174)) % 0.37/0.78 (step @p177 :rule refl :args (@t14)) % 0.37/0.78 (step @p178 :rule beta-reduce :args ((= (_ (lambda @t68 @t160) tptp.a1) @t159))) % 0.37/0.78 (step @p179 :rule ho_cong :premises (@p178 @p177)) % 0.37/0.78 (step @p180 :rule trans :premises (@p179 @p176)) % 0.37/0.78 (step @p181 :rule ho_cong :premises (@p99 @p180)) % 0.37/0.78 (step @p182 :rule trans :premises (@p181 @p157)) % 0.37/0.78 (step @p183 :rule beta-reduce :args ((= (_ (lambda @t56 (not @t161)) @t6) @t160))) % 0.37/0.78 (step @p184 :rule refl :args (@t6)) % 0.37/0.78 (step @p185 :rule beta-reduce :args ((= @t163 @t161))) % 0.37/0.78 (step @p186 :rule cong :premises (@p185) :args (@t164)) % 0.37/0.78 (step @p187 :rule cong :premises (@p186) :args (@t165)) % 0.37/0.78 (step @p188 :rule beta-reduce :args ((= (_ @t35 @t162) @t165))) % 0.37/0.78 (step @p189 :rule trans :premises (@p188 @p187)) % 0.37/0.78 (step @p190 :rule cong :premises (@p107) :args (@t166)) % 0.37/0.78 (step @p191 :rule refl :args (@t132)) % 0.37/0.78 (step @p192 :rule nary_cong :premises (@p191 @p190) :args (@t167)) % 0.37/0.78 (step @p193 :rule cong :premises (@p192) :args ((forall @t64 @t167))) % 0.37/0.78 (step @p194 :rule beta-reduce :args ((= @t169 @t166))) % 0.37/0.78 (step @p195 :rule refl :args (@t132)) % 0.37/0.78 (step @p196 :rule nary_cong :premises (@p195 @p194) :args (@t170)) % 0.37/0.78 (step @p197 :rule cong :premises (@p196) :args (@t171)) % 0.37/0.78 (step @p198 :rule trans :premises (@p197 @p193)) % 0.37/0.78 (step @p199 :rule cong :premises (@p198) :args (@t172)) % 0.37/0.78 (step @p200 :rule beta-reduce :args ((= (_ @t173 @t168) @t172))) % 0.37/0.78 (step @p201 :rule trans :premises (@p200 @p199)) % 0.37/0.78 (step @p202 :rule beta-reduce :args ((= (_ @t35 @t31) @t168))) % 0.37/0.78 (step @p203 :rule beta-reduce :args ((= (_ @t134 @t60) @t173))) % 0.37/0.78 (step @p204 :rule ho_cong :premises (@p203 @p202)) % 0.37/0.78 (step @p205 :rule trans :premises (@p204 @p201)) % 0.37/0.78 (step @p206 :rule refl :args (@t35)) % 0.37/0.78 (step @p207 :rule ho_cong :premises (@p206 @p205)) % 0.37/0.78 (step @p208 :rule trans :premises (@p207 @p189)) % 0.37/0.78 (step @p209 :rule ho_cong :premises (@p208 @p184)) % 0.37/0.78 (step @p210 :rule trans :premises (@p209 @p183)) % 0.37/0.78 (step @p211 :rule refl :args (@t31)) % 0.37/0.78 (step @p212 :rule ho_cong :premises (@p43 @p211)) % 0.37/0.78 (step @p213 :rule refl :args (@t60)) % 0.37/0.78 (step @p214 :rule ho_cong :premises (@p117 @p213)) % 0.37/0.78 (step @p215 :rule ho_cong :premises (@p214 @p212)) % 0.37/0.78 (step @p216 :rule ho_cong :premises (@p43 @p215)) % 0.37/0.78 (step @p217 :rule ho_cong :premises (@p216 @p184)) % 0.37/0.78 (step @p218 :rule trans :premises (@p217 @p210)) % 0.37/0.78 (step @p219 :rule cong :premises (@p218) :args (@t69)) % 0.37/0.78 (step @p220 :rule trans :premises (@p56 @p219)) % 0.37/0.78 (step @p221 :rule ho_cong :premises (@p220 @p102)) % 0.37/0.78 (step @p222 :rule ho_cong :premises (@p221 @p177)) % 0.37/0.78 (step @p223 :rule ho_cong :premises (@p127 @p222)) % 0.37/0.78 (step @p224 :rule trans :premises (@p223 @p182)) % 0.37/0.78 (step @p225 :rule eq_resolve :premises (@p13 @p224)) % 0.37/0.78 (step @p226 :rule instantiate :premises (@p225) :args ((@list @t142))) % 0.37/0.78 (step @p227 :rule skolemize :premises (@p226)) % 0.37/0.78 (step @p228 :rule bool-double-not-elim :args (@t174)) % 0.37/0.78 (step @p229 :rule refl :args (@t176)) % 0.37/0.78 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or @t176 (not @t175)))) % 0.37/0.78 (step @p231 :rule cnf_or_neg :args (@t176 0)) % 0.37/0.78 (step @p232 :rule eq_resolve :premises (@p231 @p230)) % 0.37/0.78 (step @p233 :rule reordering :premises (@p232) :args ((or @t174 @t176))) % 0.37/0.78 (step @p234 :rule chain_m_resolution :premises (@p233 @p227) :args (@t174 (@list true) (@list @t176))) % 0.37/0.78 (step @p235 :rule cnf_or_pos :args (@t178)) % 0.37/0.78 (step @p236 :rule reordering :premises (@p235) :args ((or @t175 @t177 (not @t178)))) % 0.37/0.78 (step @p237 :rule chain_m_resolution :premises (@p236 @p234 @p153) :args (@t177 (@list false false) (@list @t174 @t178))) % 0.37/0.78 (step @p238 :rule refl :args (@t141)) % 0.37/0.78 (step @p239 :rule refl :args (@t179)) % 0.37/0.78 (step @p240 :rule cong :premises (@p239 @p238) :args ((= @t179 @t141))) % 0.37/0.78 (step @p241 :rule symm :premises (@p240)) % 0.37/0.78 (step @p242 :rule eq_resolve :premises (@p239 @p241)) % 0.37/0.78 (step @p243 :rule cong :premises (@p242) :args ((forall @t56 @t179))) % 0.37/0.78 (step @p244 :rule refl :args (@t180)) % 0.37/0.78 (step @p245 :rule cong :premises (@p244) :args (@t181)) % 0.37/0.78 (step @p246 :rule trans :premises (@p245 @p243)) % 0.37/0.78 (step @p247 :rule beta-reduce :args ((= @t182 @t181))) % 0.37/0.78 (step @p248 :rule trans :premises (@p247 @p246)) % 0.37/0.78 (step @p249 :rule cong :premises (@p248) :args ((not @t182))) % 0.37/0.79 (step @p250 :rule ho_cong :premises (@p127 @p95)) % 0.37/0.79 (step @p251 :rule cong :premises (@p250) :args (@t25)) % 0.37/0.79 (step @p252 :rule trans :premises (@p251 @p249)) % 0.37/0.79 (step @p253 :rule eq_resolve :premises (@p39 @p252)) % 0.37/0.79 (step @p254 :rule skolemize :premises (@p253)) % 0.37/0.79 (step @p255 :rule cnf_or_pos :args (@t185)) % 0.37/0.79 (step @p256 :rule reordering :premises (@p255) :args ((or @t183 @t184 @t186))) % 0.37/0.79 (step @p257 :rule chain_m_resolution :premises (@p256 @p254 @p237) :args (@t186 @t187 (@list @t183 @t177))) % 0.37/0.79 (assume-push @p264 @t116) % 0.37/0.79 (step @p259 :rule instantiate :premises (@p130) :args ((@list @t143 @t142))) % 0.37/0.79 (step-pop @p265 :rule scope :premises (@p259)) % 0.37/0.79 (step @p260 :rule process_scope :premises (@p265) :args (@t185)) % 0.37/0.79 (step @p262 :rule implies_elim :premises (@p260)) % 0.37/0.79 (step @p263 false :rule chain_m_resolution :premises (@p262 @p257 @p130) :args (false @t187 (@list @t185 @t116))) % 0.37/0.79 ) % 0.37/0.79 % SZS output end Proof % 0.37/0.79 % cvc5 exiting %------------------------------------------------------------------------------