%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : AGT035^2 : 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 : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:04:48 AM UTC 2026 % Result : Theorem 0.52s 0.73s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : AGT035^2 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 01:34:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.52/0.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.52/0.73 % SZS status Theorem % 0.52/0.73 % SZS output start Proof % 0.52/0.73 ( % 0.52/0.73 (declare-sort $$unsorted 0) % 0.52/0.73 (declare-sort tptp.mu 0) % 0.52/0.73 (declare-const tptp.possibly_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.52/0.73 (declare-const tptp.very_much_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.52/0.73 (declare-const tptp.beer tptp.mu) % 0.52/0.73 (declare-const tptp.cola tptp.mu) % 0.52/0.73 (declare-const tptp.jan tptp.mu) % 0.52/0.73 (declare-const tptp.likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.52/0.73 (declare-const tptp.a1 (-> $$unsorted $$unsorted Bool)) % 0.52/0.73 (declare-const tptp.pepsi tptp.mu) % 0.52/0.73 (declare-const tptp.piotr tptp.mu) % 0.52/0.73 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.52/0.73 (declare-const tptp.a2 (-> $$unsorted $$unsorted Bool)) % 0.52/0.73 (declare-const tptp.a3 (-> $$unsorted $$unsorted Bool)) % 0.52/0.73 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.52/0.73 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.52/0.73 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.52/0.73 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.52/0.73 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.52/0.73 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.52/0.73 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.52/0.73 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.52/0.73 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.52/0.73 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.52/0.73 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.52/0.73 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.52/0.73 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.52/0.73 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.52/0.73 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.52/0.73 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.52/0.73 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.52/0.73 (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)))))))) % 0.52/0.73 (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)))))))) % 0.52/0.73 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.52/0.73 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.52/0.73 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.52/0.73 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.52/0.73 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.52/0.73 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.52/0.73 (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))))))))))))) % 0.52/0.73 (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)))))) % 0.52/0.73 (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))))))) % 0.52/0.73 (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)))))) % 0.52/0.73 (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))))))) % 0.52/0.73 (define @t1 () (_ tptp.likes tptp.jan)) % 0.52/0.73 (define @t2 () (_ @t1 tptp.cola)) % 0.52/0.73 (define @t3 () (_ tptp.mbox tptp.a1)) % 0.52/0.73 (define @t4 () (_ tptp.likes tptp.piotr)) % 0.52/0.73 (define @t5 () (_ @t4 tptp.pepsi)) % 0.52/0.73 (define @t6 () (@var "__flatten_var_0" $$unsorted)) % 0.52/0.73 (define @t7 () (@var "X" tptp.mu)) % 0.52/0.73 (define @t8 () (_ tptp.likes @t7)) % 0.52/0.73 (define @t9 () (_ @t8 tptp.cola)) % 0.52/0.73 (define @t10 () (_ @t8 tptp.pepsi)) % 0.52/0.73 (define @t11 () (_ tptp.mdia tptp.a1)) % 0.52/0.73 (define @t12 () (@list @t7 @t6)) % 0.52/0.73 (define @t13 () (_ @t1 tptp.pepsi)) % 0.52/0.73 (define @t14 () (_ tptp.mbox tptp.a2)) % 0.52/0.73 (define @t15 () (_ @t4 tptp.beer)) % 0.52/0.73 (define @t16 () (lambda @t12 (_ (_ @t14 (_ (_ tptp.mimplies @t10) @t9)) @t6))) % 0.52/0.73 (define @t17 () (_ tptp.mbox tptp.a3)) % 0.52/0.73 (define @t18 () (_ tptp.mdia tptp.a3)) % 0.52/0.73 (define @t19 () (@var "Y" tptp.mu)) % 0.52/0.73 (define @t20 () (_ (_ tptp.very_much_likes @t7) @t19)) % 0.52/0.73 (define @t21 () (_ @t8 @t19)) % 0.52/0.73 (define @t22 () (@list @t19 @t6)) % 0.52/0.73 (define @t23 () (lambda @t22 (_ (_ @t17 (_ (_ tptp.mimplies (_ (_ tptp.mand @t21) (_ (_ tptp.mand (_ @t3 @t21)) (_ @t14 @t21)))) @t20)) @t6))) % 0.52/0.73 (define @t24 () (lambda @t12 (_ (_ tptp.mforall_ind @t23) @t6))) % 0.52/0.73 (define @t25 () (lambda @t22 (_ (_ (_ tptp.mimplies (_ @t18 @t20)) @t21) @t6))) % 0.52/0.73 (define @t26 () (lambda @t12 (_ (_ tptp.mforall_ind @t25) @t6))) % 0.52/0.73 (define @t27 () (_ (_ tptp.possibly_likes @t7) @t19)) % 0.52/0.73 (define @t28 () (not (_ tptp.mvalid @t2))) % 0.52/0.73 (define @t29 () (@var "W" $$unsorted)) % 0.52/0.73 (define @t30 () (lambda (@list @t7 @t19 @t29) (= @t7 @t19))) % 0.52/0.73 (define @t31 () (@var "Y" (-> $$unsorted Bool))) % 0.52/0.73 (define @t32 () (@var "X" (-> $$unsorted Bool))) % 0.52/0.73 (define @t33 () (lambda (@list @t32 @t31 @t29) (= (_ @t32 @t29) (_ @t31 @t29)))) % 0.52/0.73 (define @t34 () (@var "Phi" (-> $$unsorted Bool))) % 0.52/0.73 (define @t35 () (_ @t34 @t29)) % 0.52/0.73 (define @t36 () (not @t35)) % 0.52/0.73 (define @t37 () (@list @t34 @t29)) % 0.52/0.73 (define @t38 () (lambda @t37 @t36)) % 0.52/0.73 (define @t39 () (@var "Psi" (-> $$unsorted Bool))) % 0.52/0.73 (define @t40 () (_ @t39 @t29)) % 0.52/0.73 (define @t41 () (lambda (@list @t34 @t39 @t29) (or @t35 @t40))) % 0.52/0.73 (define @t42 () (_ tptp.mnot @t39)) % 0.52/0.73 (define @t43 () (_ tptp.mnot @t34)) % 0.52/0.73 (define @t44 () (_ tptp.mor @t43)) % 0.52/0.73 (define @t45 () (@list @t34 @t39 @t6)) % 0.52/0.73 (define @t46 () (lambda @t45 (_ (_ tptp.mnot (_ @t44 @t42)) @t6))) % 0.52/0.73 (define @t47 () (lambda @t45 (_ (_ @t44 @t39) @t6))) % 0.52/0.73 (define @t48 () (lambda @t45 (_ (_ (_ tptp.mor @t42) @t34) @t6))) % 0.52/0.73 (define @t49 () (lambda @t45 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t34) @t39)) (_ (_ tptp.mimplies @t39) @t34)) @t6))) % 0.52/0.73 (define @t50 () (lambda @t45 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t34) @t39)) @t6))) % 0.52/0.73 (define @t51 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.52/0.73 (define @t52 () (_ @t51 @t7)) % 0.52/0.73 (define @t53 () (_ @t52 @t29)) % 0.52/0.73 (define @t54 () (@list @t7)) % 0.52/0.73 (define @t55 () (forall @t54 @t53)) % 0.52/0.73 (define @t56 () (@list @t51 @t29)) % 0.52/0.73 (define @t57 () (lambda @t56 @t55)) % 0.52/0.73 (define @t58 () (@var "P" (-> $$unsorted Bool))) % 0.52/0.73 (define @t59 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.52/0.73 (define @t60 () (_ @t59 @t58)) % 0.52/0.73 (define @t61 () (lambda (@list @t59 @t29) (forall (@list @t58) (_ @t60 @t29)))) % 0.52/0.73 (define @t62 () (lambda (@list @t51 @t6) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mnot @t52) @t6)))) @t6))) % 0.52/0.73 (define @t63 () (lambda (@list @t59 @t6) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t58 @t6) (_ (_ tptp.mnot @t60) @t6)))) @t6))) % 0.52/0.73 (define @t64 () (@list @t29)) % 0.52/0.73 (define @t65 () (lambda @t64 true)) % 0.52/0.73 (define @t66 () (@var "V" $$unsorted)) % 0.52/0.73 (define @t67 () (_ @t34 @t66)) % 0.52/0.73 (define @t68 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.52/0.73 (define @t69 () (_ (_ @t68 @t29) @t66)) % 0.52/0.73 (define @t70 () (not @t69)) % 0.52/0.73 (define @t71 () (or @t70 @t67)) % 0.52/0.73 (define @t72 () (@list @t66)) % 0.52/0.73 (define @t73 () (forall @t72 @t71)) % 0.52/0.73 (define @t74 () (@list @t68 @t34 @t29)) % 0.52/0.73 (define @t75 () (lambda @t74 @t73)) % 0.52/0.73 (define @t76 () (@list @t68 @t34 @t6)) % 0.52/0.73 (define @t77 () (lambda @t76 (_ (_ tptp.mnot (_ (_ tptp.mbox @t68) @t43)) @t6))) % 0.52/0.73 (define @t78 () (@var "S" $$unsorted)) % 0.52/0.73 (define @t79 () (_ @t68 @t78)) % 0.52/0.73 (define @t80 () (@list @t78)) % 0.52/0.73 (define @t81 () (@list @t68)) % 0.52/0.73 (define @t82 () (lambda @t81 (forall @t80 (_ @t79 @t78)))) % 0.52/0.73 (define @t83 () (@var "T" $$unsorted)) % 0.52/0.73 (define @t84 () (_ @t68 @t83)) % 0.52/0.73 (define @t85 () (_ @t79 @t83)) % 0.52/0.73 (define @t86 () (lambda @t81 (forall (@list @t78 @t83) (=> @t85 (_ @t84 @t78))))) % 0.52/0.73 (define @t87 () (@list @t83)) % 0.52/0.73 (define @t88 () (lambda @t81 (forall @t80 (exists @t87 @t85)))) % 0.52/0.73 (define @t89 () (@var "U" $$unsorted)) % 0.52/0.73 (define @t90 () (_ @t79 @t89)) % 0.52/0.73 (define @t91 () (_ @t84 @t89)) % 0.52/0.73 (define @t92 () (@list @t78 @t83 @t89)) % 0.52/0.73 (define @t93 () (lambda @t81 (forall @t92 (=> (and @t85 @t91) @t90)))) % 0.52/0.73 (define @t94 () (and @t85 @t90)) % 0.52/0.73 (define @t95 () (lambda @t81 (forall @t92 (=> @t94 @t91)))) % 0.52/0.73 (define @t96 () (= @t83 @t89)) % 0.52/0.73 (define @t97 () (lambda @t81 (forall @t92 (=> @t94 @t96)))) % 0.52/0.73 (define @t98 () (@list @t89)) % 0.52/0.73 (define @t99 () (lambda @t81 (forall @t80 (exists @t87 (and @t85 (forall @t98 (=> @t90 @t96))))))) % 0.52/0.73 (define @t100 () (_ @t68 @t89)) % 0.52/0.73 (define @t101 () (_ @t100 @t83)) % 0.52/0.73 (define @t102 () (lambda @t81 (forall @t92 (=> @t85 (exists @t98 (and @t90 @t101)))))) % 0.52/0.73 (define @t103 () (lambda @t81 (forall @t92 (=> @t94 (or @t91 @t96 @t101))))) % 0.52/0.73 (define @t104 () (lambda @t81 (forall @t92 (=> @t94 (exists @t72 (and (_ @t84 @t66) (_ @t100 @t66))))))) % 0.52/0.73 (define @t105 () (forall @t64 @t35)) % 0.52/0.73 (define @t106 () (@list @t34)) % 0.52/0.73 (define @t107 () (lambda @t106 @t105)) % 0.52/0.73 (define @t108 () (lambda @t106 (forall @t64 @t36))) % 0.52/0.73 (define @t109 () (lambda @t106 (exists @t64 @t35))) % 0.52/0.73 (define @t110 () (lambda @t106 (exists @t64 @t36))) % 0.52/0.73 (define @t111 () (tptp.likes @t7 tptp.cola @t66)) % 0.52/0.73 (define @t112 () (tptp.likes @t7 tptp.pepsi @t66)) % 0.52/0.73 (define @t113 () (not @t112)) % 0.52/0.73 (define @t114 () (not (tptp.a2 @t29 @t66))) % 0.52/0.73 (define @t115 () (or @t114 @t113 @t111)) % 0.52/0.73 (define @t116 () (forall (@list @t29 @t7 @t66) @t115)) % 0.52/0.73 (define @t117 () (forall (@list @t7 @t66) @t115)) % 0.52/0.73 (define @t118 () (lambda @t64 @t117)) % 0.52/0.73 (define @t119 () (_ @t118 @t29)) % 0.52/0.73 (define @t120 () (forall @t64 @t119)) % 0.52/0.73 (define @t121 () (_ @t34 @t29)) % 0.52/0.73 (define @t122 () (lambda @t106 (forall @t64 @t121))) % 0.52/0.73 (define @t123 () (forall @t72 @t115)) % 0.52/0.73 (define @t124 () (not (tptp.a2 @t6 @t66))) % 0.52/0.73 (define @t125 () (forall @t72 (or @t124 @t113 @t111))) % 0.52/0.73 (define @t126 () (lambda @t12 @t125)) % 0.52/0.73 (define @t127 () (_ @t126 @t7 @t29)) % 0.52/0.73 (define @t128 () (forall @t54 @t127)) % 0.52/0.73 (define @t129 () (lambda @t64 @t128)) % 0.52/0.73 (define @t130 () (_ @t51 @t7 @t29)) % 0.52/0.73 (define @t131 () (forall @t54 @t130)) % 0.52/0.73 (define @t132 () (lambda @t56 @t131)) % 0.52/0.73 (define @t133 () (_ @t9 @t66)) % 0.52/0.73 (define @t134 () (_ @t10 @t66)) % 0.52/0.73 (define @t135 () (not @t134)) % 0.52/0.73 (define @t136 () (or @t114 @t135 @t133)) % 0.52/0.73 (define @t137 () (or @t135 @t133)) % 0.52/0.73 (define @t138 () (not (_ @t10 @t6))) % 0.52/0.73 (define @t139 () (@list @t6)) % 0.52/0.73 (define @t140 () (lambda @t139 (or @t138 (_ @t9 @t6)))) % 0.52/0.73 (define @t141 () (_ @t140 @t66)) % 0.52/0.73 (define @t142 () (or @t114 @t141)) % 0.52/0.73 (define @t143 () (forall @t72 @t142)) % 0.52/0.73 (define @t144 () (lambda @t64 @t143)) % 0.52/0.73 (define @t145 () (_ @t34 @t66)) % 0.52/0.73 (define @t146 () (lambda @t37 (forall @t72 (or @t114 @t145)))) % 0.52/0.73 (define @t147 () (_ @t39 @t6)) % 0.52/0.73 (define @t148 () (@list @t39 @t6)) % 0.52/0.73 (define @t149 () (lambda @t148 (or @t138 @t147))) % 0.52/0.73 (define @t150 () (not (_ @t34 @t6))) % 0.52/0.73 (define @t151 () (or @t150 @t147)) % 0.52/0.73 (define @t152 () (lambda @t45 @t151)) % 0.52/0.73 (define @t153 () (_ @t152 @t10)) % 0.52/0.73 (define @t154 () (_ @t68 @t29 @t66)) % 0.52/0.73 (define @t155 () (not @t154)) % 0.52/0.73 (define @t156 () (forall @t72 (or @t155 @t145))) % 0.52/0.73 (define @t157 () (lambda @t74 @t156)) % 0.52/0.73 (define @t158 () (_ @t157 tptp.a2)) % 0.52/0.73 (define @t159 () (or @t36 @t40)) % 0.52/0.73 (define @t160 () (lambda @t64 @t159)) % 0.52/0.73 (define @t161 () (@list @t39 @t29)) % 0.52/0.73 (define @t162 () (lambda @t161 @t159)) % 0.52/0.73 (define @t163 () (lambda @t64 @t36)) % 0.52/0.73 (define @t164 () (_ @t163 @t29)) % 0.52/0.73 (define @t165 () (or @t164 @t40)) % 0.52/0.73 (define @t166 () (lambda @t161 @t165)) % 0.52/0.73 (define @t167 () (tptp.likes tptp.jan tptp.pepsi @t66)) % 0.52/0.73 (define @t168 () (or @t114 @t167)) % 0.52/0.73 (define @t169 () (@list @t29 @t66)) % 0.52/0.73 (define @t170 () (forall @t72 @t168)) % 0.52/0.73 (define @t171 () (lambda @t64 @t170)) % 0.52/0.73 (define @t172 () (_ @t171 @t29)) % 0.52/0.73 (define @t173 () (forall @t64 @t172)) % 0.52/0.73 (define @t174 () (_ @t13 @t66)) % 0.52/0.73 (define @t175 () (or @t114 @t174)) % 0.52/0.73 (define @t176 () (_ @t13 @t66)) % 0.52/0.73 (define @t177 () (or @t114 @t176)) % 0.52/0.73 (define @t178 () (forall @t72 @t177)) % 0.52/0.73 (define @t179 () (lambda @t64 @t178)) % 0.52/0.73 (define @t180 () (@var "BOUND_VARIABLE_9053" $$unsorted)) % 0.52/0.73 (define @t181 () (tptp.likes tptp.piotr tptp.pepsi @t66)) % 0.52/0.73 (define @t182 () (not @t181)) % 0.52/0.73 (define @t183 () (tptp.likes tptp.jan tptp.cola @t29)) % 0.52/0.73 (define @t184 () (@quantifiers_skolemize (forall @t64 @t183) 0)) % 0.52/0.73 (define @t185 () (@quantifiers_skolemize (forall @t72 (or (not (tptp.a3 @t184 @t66)) @t182)) 0)) % 0.52/0.73 (define @t186 () (@list @t180)) % 0.52/0.73 (define @t187 () (forall @t186 (or (not (tptp.a2 @t185 @t180)) (tptp.likes tptp.jan tptp.cola @t180)))) % 0.52/0.73 (define @t188 () (@quantifiers_skolemize @t187 0)) % 0.52/0.73 (define @t189 () (@var "BOUND_VARIABLE_9101" tptp.mu)) % 0.52/0.73 (define @t190 () (not (tptp.a2 @t66 @t180))) % 0.52/0.73 (define @t191 () (not (forall @t186 (or @t190 (tptp.likes @t7 @t189 @t180))))) % 0.52/0.73 (define @t192 () (@var "BOUND_VARIABLE_9062" $$unsorted)) % 0.52/0.73 (define @t193 () (not (tptp.a1 @t66 @t192))) % 0.52/0.73 (define @t194 () (@list @t192)) % 0.52/0.73 (define @t195 () (not (forall @t194 (or @t193 (tptp.likes @t7 @t189 @t192))))) % 0.52/0.73 (define @t196 () (not (tptp.likes @t7 @t189 @t66))) % 0.52/0.73 (define @t197 () (tptp.very_much_likes @t7 @t189 @t66)) % 0.52/0.73 (define @t198 () (not (tptp.a3 @t29 @t66))) % 0.52/0.73 (define @t199 () (or @t198 @t197 @t196 @t195 @t191)) % 0.52/0.73 (define @t200 () (forall (@list @t7 @t189 @t66) @t199)) % 0.52/0.73 (define @t201 () (lambda @t64 @t200)) % 0.52/0.73 (define @t202 () (_ @t201 @t29)) % 0.52/0.73 (define @t203 () (forall @t64 @t202)) % 0.52/0.73 (define @t204 () (@list @t189 @t66)) % 0.52/0.73 (define @t205 () (forall @t204 @t199)) % 0.52/0.73 (define @t206 () (not (tptp.a3 @t6 @t66))) % 0.52/0.73 (define @t207 () (forall @t204 (or @t206 @t197 @t196 @t195 @t191))) % 0.52/0.73 (define @t208 () (lambda @t12 @t207)) % 0.52/0.73 (define @t209 () (_ @t208 @t7 @t29)) % 0.52/0.73 (define @t210 () (forall @t54 @t209)) % 0.52/0.73 (define @t211 () (lambda @t64 @t210)) % 0.52/0.73 (define @t212 () (forall @t72 @t199)) % 0.52/0.73 (define @t213 () (@list @t189)) % 0.52/0.73 (define @t214 () (tptp.likes @t7 @t19 @t180)) % 0.52/0.73 (define @t215 () (not (forall @t186 (or @t190 @t214)))) % 0.52/0.73 (define @t216 () (tptp.likes @t7 @t19 @t192)) % 0.52/0.73 (define @t217 () (not (forall @t194 (or @t193 @t216)))) % 0.52/0.73 (define @t218 () (tptp.likes @t7 @t19 @t66)) % 0.52/0.73 (define @t219 () (not @t218)) % 0.52/0.73 (define @t220 () (tptp.very_much_likes @t7 @t19 @t66)) % 0.52/0.73 (define @t221 () (forall @t72 (or @t206 @t220 @t219 @t217 @t215))) % 0.52/0.73 (define @t222 () (lambda @t22 @t221)) % 0.52/0.73 (define @t223 () (_ @t222 @t189 @t29)) % 0.52/0.73 (define @t224 () (forall @t213 @t223)) % 0.52/0.73 (define @t225 () (lambda @t64 @t224)) % 0.52/0.73 (define @t226 () (@list @t7)) % 0.52/0.73 (define @t227 () (_ @t21 @t66)) % 0.52/0.73 (define @t228 () (not @t227)) % 0.52/0.73 (define @t229 () (_ @t20 @t66)) % 0.52/0.73 (define @t230 () (or @t198 @t229 @t228 @t217 @t215)) % 0.52/0.73 (define @t231 () (or @t229 @t228 @t217 @t215)) % 0.52/0.73 (define @t232 () (_ @t21 @t6)) % 0.52/0.73 (define @t233 () (not @t232)) % 0.52/0.73 (define @t234 () (_ @t20 @t6)) % 0.52/0.73 (define @t235 () (forall @t72 (or @t124 @t218))) % 0.52/0.73 (define @t236 () (@list @t66)) % 0.52/0.73 (define @t237 () (not @t235)) % 0.52/0.73 (define @t238 () (forall @t72 (or (not (tptp.a1 @t6 @t66)) @t218))) % 0.52/0.73 (define @t239 () (not @t238)) % 0.52/0.73 (define @t240 () (or @t234 @t233 @t239 @t237)) % 0.52/0.73 (define @t241 () (lambda @t139 @t240)) % 0.52/0.73 (define @t242 () (or @t198 (_ @t241 @t66))) % 0.52/0.73 (define @t243 () (forall @t72 @t242)) % 0.52/0.73 (define @t244 () (lambda @t64 @t243)) % 0.52/0.73 (define @t245 () (lambda @t37 (forall @t72 (or @t198 @t145)))) % 0.52/0.73 (define @t246 () (or @t147 @t233 @t239 @t237)) % 0.52/0.73 (define @t247 () (or @t233 @t239 @t237)) % 0.52/0.73 (define @t248 () (not @t247)) % 0.52/0.73 (define @t249 () (lambda @t139 @t248)) % 0.52/0.73 (define @t250 () (_ @t249 @t6)) % 0.52/0.73 (define @t251 () (not @t250)) % 0.52/0.73 (define @t252 () (or @t251 @t147)) % 0.52/0.73 (define @t253 () (lambda @t148 @t252)) % 0.52/0.73 (define @t254 () (or @t239 @t237)) % 0.52/0.73 (define @t255 () (not @t254)) % 0.52/0.73 (define @t256 () (lambda @t139 @t255)) % 0.52/0.73 (define @t257 () (_ @t256 @t6)) % 0.52/0.73 (define @t258 () (not @t257)) % 0.52/0.73 (define @t259 () (or @t233 @t258)) % 0.52/0.73 (define @t260 () (not @t259)) % 0.52/0.73 (define @t261 () (lambda @t139 @t260)) % 0.52/0.73 (define @t262 () (not @t147)) % 0.52/0.73 (define @t263 () (lambda @t148 (not (or @t233 @t262)))) % 0.52/0.73 (define @t264 () (lambda @t64 (forall @t72 (or @t114 @t218)))) % 0.52/0.73 (define @t265 () (_ @t264 @t6)) % 0.52/0.73 (define @t266 () (not @t265)) % 0.52/0.73 (define @t267 () (or @t239 @t266)) % 0.52/0.73 (define @t268 () (not @t267)) % 0.52/0.73 (define @t269 () (lambda @t139 @t268)) % 0.52/0.73 (define @t270 () (or @t114 @t227)) % 0.52/0.73 (define @t271 () (_ @t21 @t66)) % 0.52/0.73 (define @t272 () (or @t114 @t271)) % 0.52/0.73 (define @t273 () (forall @t72 @t272)) % 0.52/0.73 (define @t274 () (lambda @t64 @t273)) % 0.52/0.73 (define @t275 () (not (tptp.a1 @t29 @t66))) % 0.52/0.73 (define @t276 () (lambda @t64 (forall @t72 (or @t275 @t218)))) % 0.52/0.73 (define @t277 () (_ @t276 @t6)) % 0.52/0.73 (define @t278 () (not @t277)) % 0.52/0.73 (define @t279 () (or @t278 @t262)) % 0.52/0.73 (define @t280 () (not @t279)) % 0.52/0.73 (define @t281 () (lambda @t148 @t280)) % 0.52/0.73 (define @t282 () (not (or @t150 @t262))) % 0.52/0.73 (define @t283 () (lambda @t45 @t282)) % 0.52/0.73 (define @t284 () (or @t275 @t227)) % 0.52/0.73 (define @t285 () (or @t275 @t271)) % 0.52/0.73 (define @t286 () (forall @t72 @t285)) % 0.52/0.73 (define @t287 () (lambda @t64 @t286)) % 0.52/0.73 (define @t288 () (lambda @t37 (forall @t72 (or @t275 @t145)))) % 0.52/0.73 (define @t289 () (_ @t157 tptp.a1)) % 0.52/0.73 (define @t290 () (_ @t283 @t21)) % 0.52/0.73 (define @t291 () (_ @t157 tptp.a3)) % 0.52/0.73 (define @t292 () (lambda @t22 (_ (_ @t291 (_ (_ @t152 (_ @t290 (_ (_ @t283 (_ @t289 @t21)) (_ @t158 @t21)))) @t20)) @t6))) % 0.52/0.73 (define @t293 () (not @t40)) % 0.52/0.73 (define @t294 () (or @t36 @t293)) % 0.52/0.73 (define @t295 () (lambda @t64 @t294)) % 0.52/0.73 (define @t296 () (_ @t295 @t29)) % 0.52/0.73 (define @t297 () (not @t296)) % 0.52/0.73 (define @t298 () (lambda @t64 @t297)) % 0.52/0.73 (define @t299 () (lambda @t64 @t293)) % 0.52/0.73 (define @t300 () (_ @t299 @t29)) % 0.52/0.73 (define @t301 () (or @t36 @t300)) % 0.52/0.73 (define @t302 () (lambda @t64 @t301)) % 0.52/0.73 (define @t303 () (@list @t184 tptp.jan tptp.cola @t185)) % 0.52/0.73 (define @t304 () (tptp.likes tptp.jan tptp.cola @t66)) % 0.52/0.73 (define @t305 () (or @t275 @t304)) % 0.52/0.73 (define @t306 () (forall @t72 @t305)) % 0.52/0.73 (define @t307 () (lambda @t64 @t306)) % 0.52/0.73 (define @t308 () (_ @t307 @t29)) % 0.52/0.73 (define @t309 () (forall @t64 @t308)) % 0.52/0.73 (define @t310 () (_ @t2 @t66)) % 0.52/0.73 (define @t311 () (or @t275 @t310)) % 0.52/0.73 (define @t312 () (_ @t2 @t66)) % 0.52/0.73 (define @t313 () (or @t275 @t312)) % 0.52/0.73 (define @t314 () (forall @t72 @t313)) % 0.52/0.73 (define @t315 () (lambda @t64 @t314)) % 0.52/0.73 (define @t316 () (forall @t194 (or (not (tptp.a1 @t185 @t192)) (tptp.likes tptp.jan tptp.cola @t192)))) % 0.52/0.73 (define @t317 () (@quantifiers_skolemize @t316 0)) % 0.52/0.73 (define @t318 () (or (not (tptp.a1 @t185 @t317)) (tptp.likes tptp.jan tptp.cola @t317))) % 0.52/0.73 (define @t319 () (not @t318)) % 0.52/0.73 (define @t320 () (not @t316)) % 0.52/0.73 (define @t321 () (or @t198 @t304)) % 0.52/0.73 (define @t322 () (forall @t72 @t321)) % 0.52/0.73 (define @t323 () (lambda @t64 @t322)) % 0.52/0.73 (define @t324 () (_ @t323 @t29)) % 0.52/0.73 (define @t325 () (forall @t64 @t324)) % 0.52/0.73 (define @t326 () (or @t198 @t310)) % 0.52/0.73 (define @t327 () (or @t198 @t312)) % 0.52/0.73 (define @t328 () (forall @t72 @t327)) % 0.52/0.73 (define @t329 () (lambda @t64 @t328)) % 0.52/0.73 (define @t330 () (lambda @t139 (not (forall @t72 (or @t206 @t182))))) % 0.52/0.73 (define @t331 () (_ @t330 @t29)) % 0.52/0.73 (define @t332 () (forall @t64 @t331)) % 0.52/0.73 (define @t333 () (_ @t5 @t66)) % 0.52/0.73 (define @t334 () (not @t333)) % 0.52/0.73 (define @t335 () (or @t206 @t334)) % 0.52/0.73 (define @t336 () (_ @t5 @t66)) % 0.52/0.73 (define @t337 () (not @t336)) % 0.52/0.73 (define @t338 () (or @t206 @t337)) % 0.52/0.73 (define @t339 () (forall @t72 @t338)) % 0.52/0.73 (define @t340 () (not @t339)) % 0.52/0.73 (define @t341 () (lambda @t139 @t340)) % 0.52/0.73 (define @t342 () (not @t145)) % 0.52/0.73 (define @t343 () (lambda (@list @t34 @t6) (not (forall @t72 (or @t206 @t342))))) % 0.52/0.73 (define @t344 () (not (forall @t72 (or (not (_ @t68 @t6 @t66)) @t342)))) % 0.52/0.73 (define @t345 () (_ (lambda @t76 @t344) tptp.a3)) % 0.52/0.73 (define @t346 () (forall @t72 (or @t155 @t342))) % 0.52/0.73 (define @t347 () (lambda @t64 @t346)) % 0.52/0.73 (define @t348 () (_ @t347 @t29)) % 0.52/0.73 (define @t349 () (not @t348)) % 0.52/0.73 (define @t350 () (lambda @t64 @t349)) % 0.52/0.73 (define @t351 () (not @t67)) % 0.52/0.73 (define @t352 () (or @t155 @t351)) % 0.52/0.73 (define @t353 () (_ @t163 @t66)) % 0.52/0.73 (define @t354 () (or @t155 @t353)) % 0.52/0.73 (define @t355 () (forall @t72 @t354)) % 0.52/0.73 (define @t356 () (lambda @t64 @t355)) % 0.52/0.73 (define @t357 () (lambda @t37 @t156)) % 0.52/0.73 (define @t358 () (tptp.a3 @t184 @t185)) % 0.52/0.73 (define @t359 () (not @t358)) % 0.52/0.73 (define @t360 () (or @t359 (not (tptp.likes tptp.piotr tptp.pepsi @t185)))) % 0.52/0.73 (define @t361 () (@list true)) % 0.52/0.73 (define @t362 () (tptp.likes tptp.jan tptp.cola @t185)) % 0.52/0.73 (define @t363 () (or @t359 @t362)) % 0.52/0.73 (define @t364 () (@list false false)) % 0.52/0.73 (define @t365 () (@var "BOUND_VARIABLE_9294" $$unsorted)) % 0.52/0.73 (define @t366 () (@var "BOUND_VARIABLE_9272" tptp.mu)) % 0.52/0.73 (define @t367 () (not (tptp.very_much_likes @t7 @t366 @t365))) % 0.52/0.73 (define @t368 () (not (tptp.a3 @t29 @t365))) % 0.52/0.73 (define @t369 () (tptp.likes @t7 @t366 @t29)) % 0.52/0.73 (define @t370 () (or @t369 @t368 @t367)) % 0.52/0.73 (define @t371 () (forall (@list @t7 @t366 @t365) @t370)) % 0.52/0.73 (define @t372 () (lambda @t64 @t371)) % 0.52/0.73 (define @t373 () (_ @t372 @t29)) % 0.52/0.73 (define @t374 () (forall @t64 @t373)) % 0.52/0.73 (define @t375 () (@list @t366 @t365)) % 0.52/0.73 (define @t376 () (forall @t375 @t370)) % 0.52/0.73 (define @t377 () (forall @t375 (or (tptp.likes @t7 @t366 @t6) (not (tptp.a3 @t6 @t365)) @t367))) % 0.52/0.73 (define @t378 () (lambda @t12 @t377)) % 0.52/0.73 (define @t379 () (_ @t378 @t7 @t29)) % 0.52/0.73 (define @t380 () (forall @t54 @t379)) % 0.52/0.73 (define @t381 () (lambda @t64 @t380)) % 0.52/0.73 (define @t382 () (or @t368 @t367)) % 0.52/0.73 (define @t383 () (or @t382 @t369)) % 0.52/0.73 (define @t384 () (forall @t375 @t383)) % 0.52/0.73 (define @t385 () (@list @t365)) % 0.52/0.73 (define @t386 () (forall @t385 @t383)) % 0.52/0.73 (define @t387 () (@list @t366)) % 0.52/0.73 (define @t388 () (forall @t385 @t382)) % 0.52/0.73 (define @t389 () (or @t388 @t369)) % 0.52/0.73 (define @t390 () (forall @t72 (or @t198 (not (tptp.very_much_likes @t7 @t366 @t66))))) % 0.52/0.73 (define @t391 () (_ (_ @t8 @t366) @t29)) % 0.52/0.73 (define @t392 () (or @t390 @t391)) % 0.52/0.73 (define @t393 () (forall @t72 (or @t206 (not @t220)))) % 0.52/0.73 (define @t394 () (or @t393 @t232)) % 0.52/0.73 (define @t395 () (lambda @t22 @t394)) % 0.52/0.73 (define @t396 () (_ @t395 @t366 @t29)) % 0.52/0.73 (define @t397 () (forall @t387 @t396)) % 0.52/0.73 (define @t398 () (lambda @t64 @t397)) % 0.52/0.73 (define @t399 () (lambda @t139 @t394)) % 0.52/0.73 (define @t400 () (not @t393)) % 0.52/0.73 (define @t401 () (lambda @t139 @t400)) % 0.52/0.73 (define @t402 () (_ @t401 @t6)) % 0.52/0.73 (define @t403 () (not @t402)) % 0.52/0.73 (define @t404 () (or @t403 @t147)) % 0.52/0.73 (define @t405 () (lambda @t148 @t404)) % 0.52/0.73 (define @t406 () (not @t229)) % 0.52/0.73 (define @t407 () (or @t206 @t406)) % 0.52/0.73 (define @t408 () (_ @t20 @t66)) % 0.52/0.73 (define @t409 () (not @t408)) % 0.52/0.73 (define @t410 () (or @t206 @t409)) % 0.52/0.73 (define @t411 () (forall @t72 @t410)) % 0.52/0.73 (define @t412 () (not @t411)) % 0.52/0.73 (define @t413 () (lambda @t139 @t412)) % 0.52/0.73 (define @t414 () (lambda @t22 (_ (_ (_ @t152 (_ @t345 @t20)) @t21) @t6))) % 0.52/0.73 (define @t415 () (_ @t2 @t29)) % 0.52/0.73 (define @t416 () (_ @t2 @t29)) % 0.52/0.73 (define @t417 () (forall @t64 @t416)) % 0.52/0.73 (define @t418 () (_ @t122 @t2)) % 0.52/0.73 (define @t419 () (tptp.very_much_likes tptp.jan tptp.cola @t185)) % 0.52/0.73 (define @t420 () (not @t419)) % 0.52/0.73 (define @t421 () (tptp.likes tptp.jan tptp.cola @t184)) % 0.52/0.73 (define @t422 () (or @t421 @t359 @t420)) % 0.52/0.73 (define @t423 () (not @t187)) % 0.52/0.73 (define @t424 () (not @t362)) % 0.52/0.73 (define @t425 () (or @t359 @t419 @t424 @t320 @t423)) % 0.52/0.73 (define @t426 () (tptp.likes tptp.jan tptp.cola @t188)) % 0.52/0.73 (define @t427 () (tptp.a2 @t185 @t188)) % 0.52/0.73 (define @t428 () (not @t427)) % 0.52/0.73 (define @t429 () (or @t428 @t426)) % 0.52/0.73 (define @t430 () (not @t429)) % 0.52/0.73 (define @t431 () (@list @t429)) % 0.52/0.73 (define @t432 () (tptp.likes tptp.jan tptp.pepsi @t188)) % 0.52/0.73 (define @t433 () (or @t428 @t432)) % 0.52/0.73 (define @t434 () (not @t432)) % 0.52/0.73 (define @t435 () (or @t428 @t434 @t426)) % 0.52/0.73 (define @t436 () (not @t435)) % 0.52/0.73 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.52/0.73 (assume @p2 (_ tptp.mvalid (_ @t3 @t2))) % 0.52/0.73 (assume @p3 (_ tptp.mvalid (_ @t3 @t5))) % 0.52/0.73 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t10)) @t9)) @t6))))) % 0.52/0.73 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t9)) @t10)) @t6))))) % 0.52/0.73 (assume @p6 (_ tptp.mvalid (_ @t14 @t13))) % 0.52/0.73 (assume @p7 (_ tptp.mvalid (_ @t3 (_ @t4 tptp.cola)))) % 0.52/0.73 (assume @p8 (_ tptp.mvalid (_ @t3 @t15))) % 0.52/0.73 (assume @p9 (_ tptp.mvalid (_ tptp.mforall_ind @t16))) % 0.52/0.73 (assume @p10 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t14 (_ (_ tptp.mimplies @t9) @t10)) @t6))))) % 0.52/0.73 (assume @p11 (_ tptp.mvalid (_ @t17 @t2))) % 0.52/0.73 (assume @p12 (_ tptp.mvalid (_ @t18 @t5))) % 0.52/0.73 (assume @p13 (_ tptp.mvalid (_ @t11 @t15))) % 0.52/0.73 (assume @p14 (_ tptp.mvalid (_ tptp.mforall_ind @t24))) % 0.52/0.73 (assume @p15 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t22 (_ (_ (_ tptp.mimplies (_ @t17 @t20)) @t20) @t6))) @t6))))) % 0.52/0.73 (assume @p16 (_ tptp.mvalid (_ tptp.mforall_ind @t26))) % 0.52/0.73 (assume @p17 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t22 (_ (_ (_ tptp.mimplies (_ @t11 @t21)) @t27) @t6))) @t6))))) % 0.52/0.73 (assume @p18 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t22 (_ (_ (_ tptp.mimplies (_ (_ tptp.mdia tptp.a2) @t21)) @t27) @t6))) @t6))))) % 0.52/0.73 (assume @p19 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t22 (_ (_ (_ tptp.mimplies (_ @t18 @t21)) @t27) @t6))) @t6))))) % 0.52/0.73 (assume @p20 @t28) % 0.52/0.73 (assume @p21 true) % 0.52/0.73 (step @p22 (= tptp.meq_ind @t30) :rule refl :args (@t30)) % 0.52/0.73 (step @p23 (= tptp.meq_prop @t33) :rule refl :args (@t33)) % 0.52/0.73 (step @p24 (= tptp.mnot @t38) :rule refl :args (@t38)) % 0.52/0.73 (step @p25 (= tptp.mor @t41) :rule refl :args (@t41)) % 0.52/0.73 (step @p26 (= tptp.mand @t46) :rule refl :args (@t46)) % 0.52/0.73 (step @p27 (= tptp.mimplies @t47) :rule refl :args (@t47)) % 0.52/0.73 (step @p28 (= tptp.mimplied @t48) :rule refl :args (@t48)) % 0.52/0.73 (step @p29 (= tptp.mequiv @t49) :rule refl :args (@t49)) % 0.52/0.73 (step @p30 (= tptp.mxor @t50) :rule refl :args (@t50)) % 0.52/0.73 (step @p31 (= tptp.mforall_ind @t57) :rule refl :args (@t57)) % 0.52/0.73 (step @p32 (= tptp.mforall_prop @t61) :rule refl :args (@t61)) % 0.52/0.73 (step @p33 (= tptp.mexists_ind @t62) :rule refl :args (@t62)) % 0.52/0.73 (step @p34 (= tptp.mexists_prop @t63) :rule refl :args (@t63)) % 0.52/0.73 (step @p35 (= tptp.mtrue @t65) :rule refl :args (@t65)) % 0.52/0.73 (step @p36 (= tptp.mbox @t75) :rule refl :args (@t75)) % 0.52/0.73 (step @p37 (= tptp.mdia @t77) :rule refl :args (@t77)) % 0.52/0.73 (step @p38 (= tptp.mreflexive @t82) :rule refl :args (@t82)) % 0.52/0.73 (step @p39 (= tptp.msymmetric @t86) :rule refl :args (@t86)) % 0.52/0.73 (step @p40 (= tptp.mserial @t88) :rule refl :args (@t88)) % 0.52/0.73 (step @p41 (= tptp.mtransitive @t93) :rule refl :args (@t93)) % 0.52/0.73 (step @p42 (= tptp.meuclidean @t95) :rule refl :args (@t95)) % 0.52/0.73 (step @p43 (= tptp.mpartially_functional @t97) :rule refl :args (@t97)) % 0.52/0.73 (step @p44 (= tptp.mfunctional @t99) :rule refl :args (@t99)) % 0.52/0.73 (step @p45 (= tptp.mweakly_dense @t102) :rule refl :args (@t102)) % 0.52/0.73 (step @p46 (= tptp.mweakly_connected @t103) :rule refl :args (@t103)) % 0.52/0.73 (step @p47 (= tptp.mweakly_directed @t104) :rule refl :args (@t104)) % 0.52/0.73 (step @p48 (= tptp.mvalid @t107) :rule refl :args (@t107)) % 0.52/0.73 (step @p49 (= tptp.minvalid @t108) :rule refl :args (@t108)) % 0.52/0.73 (step @p50 (= tptp.msatisfiable @t109) :rule refl :args (@t109)) % 0.52/0.73 (step @p51 (= tptp.mcountersatisfiable @t110) :rule refl :args (@t110)) % 0.52/0.73 (step @p52 :rule quant-merge-prenex :args ((= (forall @t64 @t117) @t116))) % 0.52/0.73 (step @p53 :rule beta-reduce :args ((= @t119 @t117))) % 0.52/0.73 (step @p54 :rule cong :premises (@p53) :args (@t120)) % 0.52/0.73 (step @p55 :rule trans :premises (@p54 @p52)) % 0.52/0.73 (step @p56 :rule beta-reduce :args ((= (_ @t122 @t118) @t120))) % 0.52/0.73 (step @p57 :rule trans :premises (@p56 @p55)) % 0.52/0.73 (step @p58 :rule quant-merge-prenex :args ((= (forall @t54 @t123) @t117))) % 0.52/0.73 (step @p59 :rule beta-reduce :args ((= @t127 @t123))) % 0.52/0.73 (step @p60 :rule cong :premises (@p59) :args (@t128)) % 0.52/0.73 (step @p61 :rule trans :premises (@p60 @p58)) % 0.52/0.73 (step @p62 :rule cong :premises (@p61) :args (@t129)) % 0.52/0.73 (step @p63 :rule beta-reduce :args ((= (_ @t132 @t126) @t129))) % 0.52/0.73 (step @p64 :rule trans :premises (@p63 @p62)) % 0.52/0.73 (step @p65 :rule beta-reduce :args ((= (_ (lambda @t64 @t123) @t6) @t125))) % 0.52/0.73 (step @p66 :rule refl :args (@t6)) % 0.52/0.73 (step @p67 :rule refl :args (@t111)) % 0.52/0.73 (step @p68 :rule refl :args (@t133)) % 0.52/0.73 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t133 @t111))) % 0.52/0.73 (step @p70 :rule symm :premises (@p69)) % 0.52/0.73 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.52/0.73 (step @p72 :rule refl :args (@t112)) % 0.52/0.73 (step @p73 :rule refl :args (@t134)) % 0.52/0.73 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t134 @t112))) % 0.52/0.74 (step @p75 :rule symm :premises (@p74)) % 0.52/0.74 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.52/0.74 (step @p77 :rule cong :premises (@p76) :args (@t135)) % 0.52/0.74 (step @p78 :rule refl :args (@t114)) % 0.52/0.74 (step @p79 :rule nary_cong :premises (@p78 @p77 @p71) :args (@t136)) % 0.52/0.74 (step @p80 :rule cong :premises (@p79) :args ((forall @t72 @t136))) % 0.52/0.74 (step @p81 :rule aci_norm :args ((= (or @t114 @t137) @t136))) % 0.52/0.74 (step @p82 :rule beta-reduce :args ((= @t141 @t137))) % 0.52/0.74 (step @p83 :rule refl :args (@t114)) % 0.52/0.74 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t142)) % 0.52/0.74 (step @p85 :rule trans :premises (@p84 @p81)) % 0.52/0.74 (step @p86 :rule cong :premises (@p85) :args (@t143)) % 0.52/0.74 (step @p87 :rule trans :premises (@p86 @p80)) % 0.52/0.74 (step @p88 :rule cong :premises (@p87) :args (@t144)) % 0.52/0.74 (step @p89 :rule beta-reduce :args ((= (_ @t146 @t140) @t144))) % 0.52/0.74 (step @p90 :rule trans :premises (@p89 @p88)) % 0.52/0.74 (step @p91 :rule beta-reduce :args ((= (_ @t149 @t9) @t140))) % 0.52/0.74 (step @p92 :rule refl :args (@t9)) % 0.52/0.74 (step @p93 :rule beta-reduce :args ((= @t153 @t149))) % 0.52/0.74 (step @p94 :rule ho_cong :premises (@p93 @p92)) % 0.52/0.74 (step @p95 :rule trans :premises (@p94 @p91)) % 0.52/0.74 (step @p96 :rule beta-reduce :args ((= @t158 @t146))) % 0.52/0.74 (step @p97 :rule ho_cong :premises (@p96 @p95)) % 0.52/0.74 (step @p98 :rule trans :premises (@p97 @p90)) % 0.52/0.74 (step @p99 :rule ho_cong :premises (@p98 @p66)) % 0.52/0.74 (step @p100 :rule trans :premises (@p99 @p65)) % 0.52/0.74 (step @p101 :rule cong :premises (@p100) :args ((lambda @t12 (_ (_ @t158 (_ @t153 @t9)) @t6)))) % 0.52/0.74 (step @p102 :rule refl :args (@t132)) % 0.52/0.74 (step @p103 :rule ho_cong :premises (@p102 @p101)) % 0.52/0.74 (step @p104 :rule trans :premises (@p103 @p64)) % 0.52/0.74 (step @p105 :rule refl :args (@t122)) % 0.52/0.74 (step @p106 :rule ho_cong :premises (@p105 @p104)) % 0.52/0.74 (step @p107 :rule trans :premises (@p106 @p57)) % 0.52/0.74 (step @p108 :rule refl :args (@t10)) % 0.52/0.74 (step @p109 :rule beta-reduce :args ((= (_ @t160 @t6) @t151))) % 0.52/0.74 (step @p110 :rule beta-reduce :args ((= (_ @t162 @t39) @t160))) % 0.52/0.74 (step @p111 :rule refl :args (@t39)) % 0.52/0.74 (step @p112 :rule refl :args (@t40)) % 0.52/0.74 (step @p113 :rule beta-reduce :args ((= @t164 @t36))) % 0.52/0.74 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t165)) % 0.52/0.74 (step @p115 :rule cong :premises (@p114) :args (@t166)) % 0.52/0.74 (step @p116 :rule beta-reduce :args ((= (_ @t41 @t163) @t166))) % 0.52/0.74 (step @p117 :rule trans :premises (@p116 @p115)) % 0.52/0.74 (step @p118 :rule beta-reduce :args ((= (_ @t38 @t34) @t163))) % 0.52/0.74 (step @p119 :rule refl :args (@t41)) % 0.52/0.74 (step @p120 :rule ho_cong :premises (@p119 @p118)) % 0.52/0.74 (step @p121 :rule trans :premises (@p120 @p117)) % 0.52/0.74 (step @p122 :rule ho_cong :premises (@p121 @p111)) % 0.52/0.74 (step @p123 :rule trans :premises (@p122 @p110)) % 0.52/0.74 (step @p124 :rule ho_cong :premises (@p123 @p66)) % 0.52/0.74 (step @p125 :rule trans :premises (@p124 @p109)) % 0.52/0.74 (step @p126 :rule refl :args (@t34)) % 0.52/0.74 (step @p127 :rule ho_cong :premises (@p24 @p126)) % 0.52/0.74 (step @p128 :rule ho_cong :premises (@p25 @p127)) % 0.52/0.74 (step @p129 :rule ho_cong :premises (@p128 @p111)) % 0.52/0.74 (step @p130 :rule ho_cong :premises (@p129 @p66)) % 0.52/0.74 (step @p131 :rule trans :premises (@p130 @p125)) % 0.52/0.74 (step @p132 :rule cong :premises (@p131) :args (@t47)) % 0.52/0.74 (step @p133 :rule trans :premises (@p27 @p132)) % 0.52/0.74 (step @p134 :rule ho_cong :premises (@p133 @p108)) % 0.52/0.74 (step @p135 :rule ho_cong :premises (@p134 @p92)) % 0.52/0.74 (step @p136 :rule refl :args (tptp.a2)) % 0.52/0.74 (step @p137 :rule refl :args (@t145)) % 0.52/0.74 (step @p138 :rule refl :args (@t67)) % 0.52/0.74 (step @p139 :rule cong :premises (@p138 @p137) :args ((= @t67 @t145))) % 0.52/0.74 (step @p140 :rule symm :premises (@p139)) % 0.52/0.74 (step @p141 :rule eq_resolve :premises (@p138 @p140)) % 0.52/0.74 (step @p142 :rule refl :args (@t154)) % 0.52/0.74 (step @p143 :rule refl :args (@t69)) % 0.52/0.74 (step @p144 :rule cong :premises (@p143 @p142) :args ((= @t69 @t154))) % 0.52/0.74 (step @p145 :rule symm :premises (@p144)) % 0.52/0.74 (step @p146 :rule eq_resolve :premises (@p143 @p145)) % 0.52/0.74 (step @p147 :rule cong :premises (@p146) :args (@t70)) % 0.52/0.74 (step @p148 :rule nary_cong :premises (@p147 @p141) :args (@t71)) % 0.52/0.74 (step @p149 :rule cong :premises (@p148) :args (@t73)) % 0.52/0.74 (step @p150 :rule cong :premises (@p149) :args (@t75)) % 0.52/0.74 (step @p151 :rule trans :premises (@p36 @p150)) % 0.52/0.74 (step @p152 :rule 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(@t415)) % 0.52/0.74 (step @p657 :rule cong :premises (@p656 @p655) :args ((= @t415 @t183))) % 0.52/0.74 (step @p658 :rule symm :premises (@p657)) % 0.52/0.74 (step @p659 :rule eq_resolve :premises (@p656 @p658)) % 0.52/0.74 (step @p660 :rule cong :premises (@p659) :args ((forall @t64 @t415))) % 0.52/0.74 (step @p661 :rule refl :args (@t416)) % 0.52/0.74 (step @p662 :rule cong :premises (@p661) :args (@t417)) % 0.52/0.74 (step @p663 :rule trans :premises (@p662 @p660)) % 0.52/0.74 (step @p664 :rule beta-reduce :args ((= @t418 @t417))) % 0.52/0.74 (step @p665 :rule trans :premises (@p664 @p663)) % 0.52/0.74 (step @p666 :rule cong :premises (@p665) :args ((not @t418))) % 0.52/0.74 (step @p667 :rule ho_cong :premises (@p172 @p434)) % 0.52/0.74 (step @p668 :rule cong :premises (@p667) :args (@t28)) % 0.52/0.74 (step @p669 :rule trans :premises (@p668 @p666)) % 0.52/0.74 (step @p670 :rule eq_resolve :premises (@p20 @p669)) % 0.52/0.74 (step @p671 :rule skolemize :premises (@p670)) % 0.52/0.74 (step @p672 :rule cnf_or_pos :args (@t422)) % 0.52/0.74 (step @p673 :rule reordering :premises (@p672) :args ((or @t421 @t359 @t420 (not @t422)))) % 0.52/0.74 (step @p674 :rule chain_m_resolution :premises (@p673 @p671 @p552 @p654) :args (@t420 (@list true false false) (@list @t421 @t358 @t422))) % 0.52/0.74 (step @p675 :rule cnf_or_pos :args (@t425)) % 0.52/0.74 (step @p676 :rule reordering :premises (@p675) :args ((or @t359 @t419 @t424 @t320 @t423 (not @t425)))) % 0.52/0.74 (step @p677 :rule chain_m_resolution :premises (@p676 @p552 @p674 @p555 @p453 @p413) :args (@t423 (@list false true false false false) (@list @t358 @t419 @t362 @t316 @t425))) % 0.52/0.74 (step @p678 :rule refl :args (@t430)) % 0.52/0.74 (step @p679 :rule bool-double-not-elim :args (@t187)) % 0.52/0.74 (step @p680 :rule nary_cong :premises (@p679 @p678) :args ((or (not @t423) @t430))) % 0.52/0.74 (assume-push @p711 @t423) % 0.52/0.74 (step @p682 :rule skolemize :premises (@p711)) % 0.52/0.74 (step-pop @p712 :rule scope :premises (@p682)) % 0.52/0.74 (step @p683 :rule process_scope :premises (@p712) :args (@t430)) % 0.52/0.74 (step @p685 :rule implies_elim :premises (@p683)) % 0.52/0.74 (step @p686 :rule eq_resolve :premises (@p685 @p680)) % 0.52/0.74 (step @p687 :rule chain_m_resolution :premises (@p686 @p677) :args (@t430 @t361 (@list @t187))) % 0.52/0.74 (step @p688 :rule bool-double-not-elim :args (@t427)) % 0.52/0.74 (step @p689 :rule refl :args (@t429)) % 0.52/0.74 (step @p690 :rule nary_cong :premises (@p689 @p688) :args ((or @t429 (not @t428)))) % 0.52/0.74 (step @p691 :rule cnf_or_neg :args (@t429 0)) % 0.52/0.74 (step @p692 :rule eq_resolve :premises (@p691 @p690)) % 0.52/0.74 (step @p693 :rule reordering :premises (@p692) :args ((or @t427 @t429))) % 0.52/0.74 (step @p694 :rule chain_m_resolution :premises (@p693 @p687) :args (@t427 @t361 @t431)) % 0.52/0.74 (step @p695 :rule cnf_or_pos :args (@t433)) % 0.52/0.74 (step @p696 :rule reordering :premises (@p695) :args ((or @t428 @t432 (not @t433)))) % 0.52/0.74 (step @p697 :rule chain_m_resolution :premises (@p696 @p694 @p205) :args (@t432 @t364 (@list @t427 @t433))) % 0.52/0.74 (step @p698 :rule cnf_or_neg :args (@t429 1)) % 0.52/0.74 (step @p699 :rule chain_m_resolution :premises (@p698 @p687) :args ((not @t426) @t361 @t431)) % 0.52/0.74 (step @p700 :rule cnf_or_pos :args (@t435)) % 0.52/0.74 (step @p701 :rule reordering :premises (@p700) :args ((or @t428 @t426 @t434 @t436))) % 0.52/0.74 (step @p702 :rule chain_m_resolution :premises (@p701 @p694 @p699 @p697) :args (@t436 (@list false true false) (@list @t427 @t426 @t432))) % 0.52/0.74 (assume-push @p713 @t116) % 0.52/0.74 (step @p704 :rule instantiate :premises (@p175) :args ((@list @t185 tptp.jan @t188))) % 0.52/0.74 (step-pop @p714 :rule scope :premises (@p704)) % 0.52/0.74 (step @p705 :rule process_scope :premises (@p714) :args (@t435)) % 0.52/0.74 (step @p707 :rule implies_elim :premises (@p705)) % 0.52/0.74 (step @p708 false :rule chain_m_resolution :premises (@p707 @p702 @p175) :args (false (@list true false) (@list @t435 @t116))) % 0.52/0.74 ) % 0.52/0.74 % SZS output end Proof % 0.52/0.74 % cvc5 exiting %------------------------------------------------------------------------------