%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : AGT037^2 : 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 08:04:49 AM UTC 2026 % Result : Theorem 0.54s 0.72s % Output : Proof 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : AGT037^2 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 01:34:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.54/0.72 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.54/0.72 % SZS status Theorem % 0.54/0.72 % SZS output start Proof % 0.54/0.72 ( % 0.54/0.72 (declare-sort $$unsorted 0) % 0.54/0.72 (declare-sort tptp.mu 0) % 0.54/0.72 (declare-const tptp.possibly_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.54/0.72 (declare-const tptp.very_much_likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.54/0.72 (declare-const tptp.beer tptp.mu) % 0.54/0.72 (declare-const tptp.cola tptp.mu) % 0.54/0.72 (declare-const tptp.jan tptp.mu) % 0.54/0.72 (declare-const tptp.likes (-> tptp.mu tptp.mu $$unsorted Bool)) % 0.54/0.72 (declare-const tptp.a1 (-> $$unsorted $$unsorted Bool)) % 0.54/0.72 (declare-const tptp.pepsi tptp.mu) % 0.54/0.72 (declare-const tptp.piotr tptp.mu) % 0.54/0.72 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.54/0.72 (declare-const tptp.a2 (-> $$unsorted $$unsorted Bool)) % 0.54/0.72 (declare-const tptp.a3 (-> $$unsorted $$unsorted Bool)) % 0.54/0.72 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.54/0.72 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.54/0.72 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.54/0.72 (define tptp.mor () (let ((_let_1 (@var "W" $$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))))))) % 0.54/0.72 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.54/0.72 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.54/0.72 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.54/0.72 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.54/0.72 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.54/0.72 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.54/0.72 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.54/0.72 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.54/0.72 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.54/0.72 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.54/0.72 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.54/0.72 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.54/0.72 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.54/0.72 (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)))))))) % 0.54/0.72 (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)))))))) % 0.54/0.72 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.54/0.72 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$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)))))))))) % 0.54/0.72 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.54/0.72 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$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))))))))))))) % 0.54/0.72 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.54/0.72 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$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))))))))))) % 0.54/0.72 (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))))))))))))) % 0.54/0.72 (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)))))) % 0.54/0.72 (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))))))) % 0.54/0.72 (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)))))) % 0.54/0.72 (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))))))) % 0.54/0.72 (define @t1 () (_ tptp.likes tptp.jan)) % 0.54/0.72 (define @t2 () (_ @t1 tptp.cola)) % 0.54/0.72 (define @t3 () (_ tptp.mbox tptp.a1)) % 0.54/0.72 (define @t4 () (_ tptp.likes tptp.piotr)) % 0.54/0.72 (define @t5 () (_ @t4 tptp.pepsi)) % 0.54/0.72 (define @t6 () (@var "__flatten_var_0" $$unsorted)) % 0.54/0.72 (define @t7 () (@var "X" tptp.mu)) % 0.54/0.72 (define @t8 () (_ tptp.likes @t7)) % 0.54/0.72 (define @t9 () (_ @t8 tptp.cola)) % 0.54/0.72 (define @t10 () (_ @t8 tptp.pepsi)) % 0.54/0.72 (define @t11 () (_ tptp.mdia tptp.a1)) % 0.54/0.72 (define @t12 () (@list @t7 @t6)) % 0.54/0.72 (define @t13 () (_ tptp.mbox tptp.a2)) % 0.54/0.72 (define @t14 () (_ @t4 tptp.beer)) % 0.54/0.72 (define @t15 () (_ tptp.mbox tptp.a3)) % 0.54/0.72 (define @t16 () (_ tptp.mdia tptp.a3)) % 0.54/0.72 (define @t17 () (@var "Y" tptp.mu)) % 0.54/0.72 (define @t18 () (_ (_ tptp.very_much_likes @t7) @t17)) % 0.54/0.72 (define @t19 () (_ @t8 @t17)) % 0.54/0.72 (define @t20 () (@list @t17 @t6)) % 0.54/0.72 (define @t21 () (_ tptp.possibly_likes @t7)) % 0.54/0.72 (define @t22 () (_ @t21 @t17)) % 0.54/0.72 (define @t23 () (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t11 @t19)) @t22) @t6))) % 0.54/0.72 (define @t24 () (lambda @t12 (_ (_ tptp.mforall_ind @t23) @t6))) % 0.54/0.72 (define @t25 () (_ (_ tptp.possibly_likes tptp.jan) tptp.cola)) % 0.54/0.72 (define @t26 () (not (_ tptp.mvalid @t25))) % 0.54/0.72 (define @t27 () (@var "W" $$unsorted)) % 0.54/0.72 (define @t28 () (lambda (@list @t7 @t17 @t27) (= @t7 @t17))) % 0.54/0.72 (define @t29 () (@var "Y" (-> $$unsorted Bool))) % 0.54/0.72 (define @t30 () (@var "X" (-> $$unsorted Bool))) % 0.54/0.72 (define @t31 () (lambda (@list @t30 @t29 @t27) (= (_ @t30 @t27) (_ @t29 @t27)))) % 0.54/0.72 (define @t32 () (@var "Phi" (-> $$unsorted Bool))) % 0.54/0.72 (define @t33 () (_ @t32 @t27)) % 0.54/0.72 (define @t34 () (not @t33)) % 0.54/0.72 (define @t35 () (@list @t32 @t27)) % 0.54/0.72 (define @t36 () (lambda @t35 @t34)) % 0.54/0.72 (define @t37 () (@var "Psi" (-> $$unsorted Bool))) % 0.54/0.72 (define @t38 () (_ @t37 @t27)) % 0.54/0.72 (define @t39 () (lambda (@list @t32 @t37 @t27) (or @t33 @t38))) % 0.54/0.72 (define @t40 () (_ tptp.mnot @t37)) % 0.54/0.72 (define @t41 () (_ tptp.mnot @t32)) % 0.54/0.72 (define @t42 () (_ tptp.mor @t41)) % 0.54/0.72 (define @t43 () (@list @t32 @t37 @t6)) % 0.54/0.72 (define @t44 () (lambda @t43 (_ (_ tptp.mnot (_ @t42 @t40)) @t6))) % 0.54/0.72 (define @t45 () (lambda @t43 (_ (_ @t42 @t37) @t6))) % 0.54/0.72 (define @t46 () (lambda @t43 (_ (_ (_ tptp.mor @t40) @t32) @t6))) % 0.54/0.72 (define @t47 () (lambda @t43 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t32) @t37)) (_ (_ tptp.mimplies @t37) @t32)) @t6))) % 0.54/0.72 (define @t48 () (lambda @t43 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t32) @t37)) @t6))) % 0.54/0.72 (define @t49 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.54/0.72 (define @t50 () (_ @t49 @t7)) % 0.54/0.72 (define @t51 () (_ @t50 @t27)) % 0.54/0.72 (define @t52 () (@list @t7)) % 0.54/0.72 (define @t53 () (forall @t52 @t51)) % 0.54/0.72 (define @t54 () (@list @t49 @t27)) % 0.54/0.72 (define @t55 () (lambda @t54 @t53)) % 0.54/0.72 (define @t56 () (@var "P" (-> $$unsorted Bool))) % 0.54/0.72 (define @t57 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.54/0.72 (define @t58 () (_ @t57 @t56)) % 0.54/0.72 (define @t59 () (lambda (@list @t57 @t27) (forall (@list @t56) (_ @t58 @t27)))) % 0.54/0.72 (define @t60 () (lambda (@list @t49 @t6) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mnot @t50) @t6)))) @t6))) % 0.54/0.72 (define @t61 () (lambda (@list @t57 @t6) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t56 @t6) (_ (_ tptp.mnot @t58) @t6)))) @t6))) % 0.54/0.72 (define @t62 () (@list @t27)) % 0.54/0.72 (define @t63 () (lambda @t62 true)) % 0.54/0.72 (define @t64 () (@var "V" $$unsorted)) % 0.54/0.72 (define @t65 () (_ @t32 @t64)) % 0.54/0.72 (define @t66 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.54/0.72 (define @t67 () (_ (_ @t66 @t27) @t64)) % 0.54/0.72 (define @t68 () (not @t67)) % 0.54/0.72 (define @t69 () (or @t68 @t65)) % 0.54/0.72 (define @t70 () (@list @t64)) % 0.54/0.72 (define @t71 () (forall @t70 @t69)) % 0.54/0.72 (define @t72 () (@list @t66 @t32 @t27)) % 0.54/0.72 (define @t73 () (lambda @t72 @t71)) % 0.54/0.72 (define @t74 () (@list @t66 @t32 @t6)) % 0.54/0.72 (define @t75 () (lambda @t74 (_ (_ tptp.mnot (_ (_ tptp.mbox @t66) @t41)) @t6))) % 0.54/0.72 (define @t76 () (@var "S" $$unsorted)) % 0.54/0.72 (define @t77 () (_ @t66 @t76)) % 0.54/0.72 (define @t78 () (@list @t76)) % 0.54/0.72 (define @t79 () (@list @t66)) % 0.54/0.72 (define @t80 () (lambda @t79 (forall @t78 (_ @t77 @t76)))) % 0.54/0.72 (define @t81 () (@var "T" $$unsorted)) % 0.54/0.72 (define @t82 () (_ @t66 @t81)) % 0.54/0.72 (define @t83 () (_ @t77 @t81)) % 0.54/0.72 (define @t84 () (lambda @t79 (forall (@list @t76 @t81) (=> @t83 (_ @t82 @t76))))) % 0.54/0.72 (define @t85 () (@list @t81)) % 0.54/0.72 (define @t86 () (lambda @t79 (forall @t78 (exists @t85 @t83)))) % 0.54/0.72 (define @t87 () (@var "U" $$unsorted)) % 0.54/0.72 (define @t88 () (_ @t77 @t87)) % 0.54/0.72 (define @t89 () (_ @t82 @t87)) % 0.54/0.72 (define @t90 () (@list @t76 @t81 @t87)) % 0.54/0.72 (define @t91 () (lambda @t79 (forall @t90 (=> (and @t83 @t89) @t88)))) % 0.54/0.72 (define @t92 () (and @t83 @t88)) % 0.54/0.72 (define @t93 () (lambda @t79 (forall @t90 (=> @t92 @t89)))) % 0.54/0.72 (define @t94 () (= @t81 @t87)) % 0.54/0.72 (define @t95 () (lambda @t79 (forall @t90 (=> @t92 @t94)))) % 0.54/0.72 (define @t96 () (@list @t87)) % 0.54/0.72 (define @t97 () (lambda @t79 (forall @t78 (exists @t85 (and @t83 (forall @t96 (=> @t88 @t94))))))) % 0.54/0.72 (define @t98 () (_ @t66 @t87)) % 0.54/0.72 (define @t99 () (_ @t98 @t81)) % 0.54/0.72 (define @t100 () (lambda @t79 (forall @t90 (=> @t83 (exists @t96 (and @t88 @t99)))))) % 0.54/0.72 (define @t101 () (lambda @t79 (forall @t90 (=> @t92 (or @t89 @t94 @t99))))) % 0.54/0.72 (define @t102 () (lambda @t79 (forall @t90 (=> @t92 (exists @t70 (and (_ @t82 @t64) (_ @t98 @t64))))))) % 0.54/0.72 (define @t103 () (forall @t62 @t33)) % 0.54/0.72 (define @t104 () (@list @t32)) % 0.54/0.72 (define @t105 () (lambda @t104 @t103)) % 0.54/0.72 (define @t106 () (lambda @t104 (forall @t62 @t34))) % 0.54/0.72 (define @t107 () (lambda @t104 (exists @t62 @t33))) % 0.54/0.72 (define @t108 () (lambda @t104 (exists @t62 @t34))) % 0.54/0.72 (define @t109 () (tptp.possibly_likes tptp.jan tptp.cola @t27)) % 0.54/0.72 (define @t110 () (_ @t25 @t27)) % 0.54/0.72 (define @t111 () (_ @t25 @t27)) % 0.54/0.72 (define @t112 () (forall @t62 @t111)) % 0.54/0.72 (define @t113 () (_ @t32 @t27)) % 0.54/0.72 (define @t114 () (lambda @t104 (forall @t62 @t113))) % 0.54/0.72 (define @t115 () (_ @t114 @t25)) % 0.54/0.72 (define @t116 () (tptp.likes tptp.piotr tptp.beer @t64)) % 0.54/0.72 (define @t117 () (not @t116)) % 0.54/0.72 (define @t118 () (not (tptp.a1 @t27 @t64))) % 0.54/0.72 (define @t119 () (not (tptp.a1 @t6 @t64))) % 0.54/0.72 (define @t120 () (@list @t6)) % 0.54/0.72 (define @t121 () (lambda @t120 (not (forall @t70 (or @t119 @t117))))) % 0.54/0.72 (define @t122 () (_ @t121 @t27)) % 0.54/0.72 (define @t123 () (forall @t62 @t122)) % 0.54/0.72 (define @t124 () (_ @t14 @t64)) % 0.54/0.72 (define @t125 () (not @t124)) % 0.54/0.72 (define @t126 () (or @t119 @t125)) % 0.54/0.72 (define @t127 () (_ @t14 @t64)) % 0.54/0.72 (define @t128 () (not @t127)) % 0.54/0.72 (define @t129 () (or @t119 @t128)) % 0.54/0.72 (define @t130 () (forall @t70 @t129)) % 0.54/0.72 (define @t131 () (not @t130)) % 0.54/0.72 (define @t132 () (lambda @t120 @t131)) % 0.54/0.72 (define @t133 () (_ @t32 @t64)) % 0.54/0.72 (define @t134 () (not @t133)) % 0.54/0.72 (define @t135 () (lambda (@list @t32 @t6) (not (forall @t70 (or @t119 @t134))))) % 0.54/0.72 (define @t136 () (not (forall @t70 (or (not (_ @t66 @t6 @t64)) @t134)))) % 0.54/0.72 (define @t137 () (_ (lambda @t74 @t136) tptp.a1)) % 0.54/0.72 (define @t138 () (_ @t66 @t27 @t64)) % 0.54/0.72 (define @t139 () (not @t138)) % 0.54/0.72 (define @t140 () (forall @t70 (or @t139 @t134))) % 0.54/0.72 (define @t141 () (lambda @t62 @t140)) % 0.54/0.72 (define @t142 () (_ @t141 @t27)) % 0.54/0.72 (define @t143 () (not @t142)) % 0.54/0.72 (define @t144 () (lambda @t62 @t143)) % 0.54/0.72 (define @t145 () (not @t65)) % 0.54/0.72 (define @t146 () (or @t139 @t145)) % 0.54/0.72 (define @t147 () (lambda @t62 @t34)) % 0.54/0.72 (define @t148 () (_ @t147 @t64)) % 0.54/0.72 (define @t149 () (or @t139 @t148)) % 0.54/0.72 (define @t150 () (forall @t70 @t149)) % 0.54/0.72 (define @t151 () (lambda @t62 @t150)) % 0.54/0.72 (define @t152 () (forall @t70 (or @t139 @t133))) % 0.54/0.72 (define @t153 () (lambda @t35 @t152)) % 0.54/0.72 (define @t154 () (lambda @t72 @t152)) % 0.54/0.72 (define @t155 () (@quantifiers_skolemize (forall @t62 @t109) 0)) % 0.54/0.72 (define @t156 () (@quantifiers_skolemize (forall @t70 (or (not (tptp.a1 @t155 @t64)) @t117)) 0)) % 0.54/0.72 (define @t157 () (tptp.a1 @t155 @t156)) % 0.54/0.72 (define @t158 () (not @t157)) % 0.54/0.72 (define @t159 () (or @t158 (not (tptp.likes tptp.piotr tptp.beer @t156)))) % 0.54/0.72 (define @t160 () (@var "BOUND_VARIABLE_9392" $$unsorted)) % 0.54/0.72 (define @t161 () (@var "BOUND_VARIABLE_9370" tptp.mu)) % 0.54/0.72 (define @t162 () (not (tptp.likes @t7 @t161 @t160))) % 0.54/0.72 (define @t163 () (not (tptp.a1 @t27 @t160))) % 0.54/0.72 (define @t164 () (tptp.possibly_likes @t7 @t161 @t27)) % 0.54/0.72 (define @t165 () (or @t164 @t163 @t162)) % 0.54/0.72 (define @t166 () (forall (@list @t7 @t161 @t160) @t165)) % 0.54/0.72 (define @t167 () (lambda @t62 @t166)) % 0.54/0.72 (define @t168 () (_ @t167 @t27)) % 0.54/0.72 (define @t169 () (forall @t62 @t168)) % 0.54/0.72 (define @t170 () (@list @t161 @t160)) % 0.54/0.72 (define @t171 () (forall @t170 @t165)) % 0.54/0.72 (define @t172 () (forall @t170 (or (tptp.possibly_likes @t7 @t161 @t6) (not (tptp.a1 @t6 @t160)) @t162))) % 0.54/0.72 (define @t173 () (lambda @t12 @t172)) % 0.54/0.72 (define @t174 () (_ @t173 @t7 @t27)) % 0.54/0.72 (define @t175 () (forall @t52 @t174)) % 0.54/0.72 (define @t176 () (lambda @t62 @t175)) % 0.54/0.72 (define @t177 () (_ @t49 @t7 @t27)) % 0.54/0.72 (define @t178 () (forall @t52 @t177)) % 0.54/0.72 (define @t179 () (lambda @t54 @t178)) % 0.54/0.72 (define @t180 () (or @t163 @t162)) % 0.54/0.72 (define @t181 () (or @t180 @t164)) % 0.54/0.72 (define @t182 () (forall @t170 @t181)) % 0.54/0.72 (define @t183 () (@list @t160)) % 0.54/0.72 (define @t184 () (forall @t183 @t181)) % 0.54/0.72 (define @t185 () (@list @t161)) % 0.54/0.72 (define @t186 () (forall @t183 @t180)) % 0.54/0.72 (define @t187 () (or @t186 @t164)) % 0.54/0.72 (define @t188 () (forall @t70 (or @t118 (not (tptp.likes @t7 @t161 @t64))))) % 0.54/0.72 (define @t189 () (_ (_ @t21 @t161) @t27)) % 0.54/0.72 (define @t190 () (or @t188 @t189)) % 0.54/0.72 (define @t191 () (tptp.likes @t7 @t17 @t64)) % 0.54/0.72 (define @t192 () (forall @t70 (or @t119 (not @t191)))) % 0.54/0.72 (define @t193 () (or @t192 (_ @t22 @t6))) % 0.54/0.72 (define @t194 () (lambda @t20 @t193)) % 0.54/0.72 (define @t195 () (_ @t194 @t161 @t27)) % 0.54/0.72 (define @t196 () (forall @t185 @t195)) % 0.54/0.72 (define @t197 () (lambda @t62 @t196)) % 0.54/0.72 (define @t198 () (lambda @t120 @t193)) % 0.54/0.72 (define @t199 () (_ @t37 @t6)) % 0.54/0.72 (define @t200 () (@list @t37 @t6)) % 0.54/0.72 (define @t201 () (not @t192)) % 0.54/0.72 (define @t202 () (lambda @t120 @t201)) % 0.54/0.72 (define @t203 () (_ @t202 @t6)) % 0.54/0.72 (define @t204 () (not @t203)) % 0.54/0.72 (define @t205 () (or @t204 @t199)) % 0.54/0.72 (define @t206 () (lambda @t200 @t205)) % 0.54/0.72 (define @t207 () (or (not (_ @t32 @t6)) @t199)) % 0.54/0.72 (define @t208 () (lambda @t43 @t207)) % 0.54/0.72 (define @t209 () (_ @t19 @t64)) % 0.54/0.72 (define @t210 () (not @t209)) % 0.54/0.72 (define @t211 () (or @t119 @t210)) % 0.54/0.72 (define @t212 () (_ @t19 @t64)) % 0.54/0.72 (define @t213 () (not @t212)) % 0.54/0.72 (define @t214 () (or @t119 @t213)) % 0.54/0.72 (define @t215 () (forall @t70 @t214)) % 0.54/0.72 (define @t216 () (not @t215)) % 0.54/0.72 (define @t217 () (lambda @t120 @t216)) % 0.54/0.72 (define @t218 () (lambda @t20 (_ (_ (_ @t208 (_ @t137 @t19)) @t22) @t6))) % 0.54/0.72 (define @t219 () (or @t34 @t38)) % 0.54/0.72 (define @t220 () (lambda @t62 @t219)) % 0.54/0.72 (define @t221 () (@list @t37 @t27)) % 0.54/0.72 (define @t222 () (_ @t147 @t27)) % 0.54/0.72 (define @t223 () (or @t222 @t38)) % 0.54/0.72 (define @t224 () (lambda @t221 @t223)) % 0.54/0.72 (define @t225 () (tptp.likes tptp.jan tptp.cola @t64)) % 0.54/0.72 (define @t226 () (or @t118 @t225)) % 0.54/0.72 (define @t227 () (forall @t70 @t226)) % 0.54/0.72 (define @t228 () (lambda @t62 @t227)) % 0.54/0.72 (define @t229 () (_ @t228 @t27)) % 0.54/0.72 (define @t230 () (forall @t62 @t229)) % 0.54/0.72 (define @t231 () (_ @t2 @t64)) % 0.54/0.72 (define @t232 () (or @t118 @t231)) % 0.54/0.72 (define @t233 () (_ @t2 @t64)) % 0.54/0.72 (define @t234 () (or @t118 @t233)) % 0.54/0.72 (define @t235 () (forall @t70 @t234)) % 0.54/0.72 (define @t236 () (lambda @t62 @t235)) % 0.54/0.72 (define @t237 () (lambda @t35 (forall @t70 (or @t118 @t133)))) % 0.54/0.72 (define @t238 () (tptp.likes tptp.jan tptp.cola @t156)) % 0.54/0.72 (define @t239 () (or @t158 @t238)) % 0.54/0.72 (define @t240 () (not @t238)) % 0.54/0.72 (define @t241 () (tptp.possibly_likes tptp.jan tptp.cola @t155)) % 0.54/0.72 (define @t242 () (or @t241 @t158 @t240)) % 0.54/0.72 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.54/0.72 (assume @p2 (_ tptp.mvalid (_ @t3 @t2))) % 0.54/0.72 (assume @p3 (_ tptp.mvalid (_ @t3 @t5))) % 0.54/0.72 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t10)) @t9)) @t6))))) % 0.54/0.72 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t3 (_ (_ tptp.mimplies (_ @t11 @t9)) @t10)) @t6))))) % 0.54/0.72 (assume @p6 (_ tptp.mvalid (_ @t13 (_ @t1 tptp.pepsi)))) % 0.54/0.72 (assume @p7 (_ tptp.mvalid (_ @t3 (_ @t4 tptp.cola)))) % 0.54/0.72 (assume @p8 (_ tptp.mvalid (_ @t3 @t14))) % 0.54/0.72 (assume @p9 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t13 (_ (_ tptp.mimplies @t10) @t9)) @t6))))) % 0.54/0.72 (assume @p10 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ @t13 (_ (_ tptp.mimplies @t9) @t10)) @t6))))) % 0.54/0.72 (assume @p11 (_ tptp.mvalid (_ @t15 @t2))) % 0.54/0.72 (assume @p12 (_ tptp.mvalid (_ @t16 @t5))) % 0.54/0.72 (assume @p13 (_ tptp.mvalid (_ @t11 @t14))) % 0.54/0.72 (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))))) % 0.54/0.72 (assume @p15 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t15 @t18)) @t18) @t6))) @t6))))) % 0.54/0.72 (assume @p16 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t16 @t18)) @t19) @t6))) @t6))))) % 0.54/0.72 (assume @p17 (_ tptp.mvalid (_ tptp.mforall_ind @t24))) % 0.54/0.72 (assume @p18 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ (_ tptp.mdia tptp.a2) @t19)) @t22) @t6))) @t6))))) % 0.54/0.72 (assume @p19 (_ tptp.mvalid (_ tptp.mforall_ind (lambda @t12 (_ (_ tptp.mforall_ind (lambda @t20 (_ (_ (_ tptp.mimplies (_ @t16 @t19)) @t22) @t6))) @t6))))) % 0.54/0.72 (assume @p20 @t26) % 0.54/0.72 (assume @p21 true) % 0.54/0.72 (step @p22 (= tptp.meq_ind @t28) :rule refl :args (@t28)) % 0.54/0.72 (step @p23 (= tptp.meq_prop @t31) :rule refl :args (@t31)) % 0.54/0.72 (step @p24 (= tptp.mnot @t36) :rule refl :args (@t36)) % 0.54/0.72 (step @p25 (= tptp.mor @t39) :rule refl :args (@t39)) % 0.54/0.72 (step @p26 (= tptp.mand @t44) :rule refl :args (@t44)) % 0.54/0.72 (step @p27 (= tptp.mimplies @t45) :rule refl :args (@t45)) % 0.54/0.72 (step @p28 (= tptp.mimplied @t46) :rule refl :args (@t46)) % 0.54/0.72 (step @p29 (= tptp.mequiv @t47) :rule refl :args (@t47)) % 0.54/0.72 (step @p30 (= tptp.mxor @t48) :rule refl :args (@t48)) % 0.54/0.72 (step @p31 (= tptp.mforall_ind @t55) :rule refl :args (@t55)) % 0.54/0.72 (step @p32 (= tptp.mforall_prop @t59) :rule refl :args (@t59)) % 0.54/0.72 (step @p33 (= tptp.mexists_ind @t60) :rule refl :args (@t60)) % 0.54/0.72 (step @p34 (= tptp.mexists_prop @t61) :rule refl :args (@t61)) % 0.54/0.72 (step @p35 (= tptp.mtrue @t63) :rule refl :args (@t63)) % 0.54/0.72 (step @p36 (= tptp.mbox @t73) :rule refl :args (@t73)) % 0.54/0.72 (step @p37 (= tptp.mdia @t75) :rule refl :args (@t75)) % 0.54/0.72 (step @p38 (= tptp.mreflexive @t80) :rule refl :args (@t80)) % 0.54/0.72 (step @p39 (= tptp.msymmetric @t84) :rule refl :args (@t84)) % 0.54/0.72 (step @p40 (= tptp.mserial @t86) :rule refl :args (@t86)) % 0.54/0.72 (step @p41 (= tptp.mtransitive @t91) :rule refl :args (@t91)) % 0.54/0.72 (step @p42 (= tptp.meuclidean @t93) :rule refl :args (@t93)) % 0.54/0.72 (step @p43 (= tptp.mpartially_functional @t95) :rule refl :args (@t95)) % 0.54/0.72 (step @p44 (= tptp.mfunctional @t97) :rule refl :args (@t97)) % 0.54/0.72 (step @p45 (= tptp.mweakly_dense @t100) :rule refl :args (@t100)) % 0.54/0.72 (step @p46 (= tptp.mweakly_connected @t101) :rule refl :args (@t101)) % 0.54/0.72 (step @p47 (= tptp.mweakly_directed @t102) :rule refl :args (@t102)) % 0.54/0.72 (step @p48 (= tptp.mvalid @t105) :rule refl :args (@t105)) % 0.54/0.72 (step @p49 (= tptp.minvalid @t106) :rule refl :args (@t106)) % 0.54/0.72 (step @p50 (= tptp.msatisfiable @t107) :rule refl :args (@t107)) % 0.54/0.72 (step @p51 (= tptp.mcountersatisfiable @t108) :rule refl :args (@t108)) % 0.54/0.72 (step @p52 :rule refl :args (@t109)) % 0.54/0.72 (step @p53 :rule refl :args (@t110)) % 0.54/0.72 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t110 @t109))) % 0.54/0.72 (step @p55 :rule symm :premises (@p54)) % 0.54/0.72 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.54/0.72 (step @p57 :rule cong :premises (@p56) :args ((forall @t62 @t110))) % 0.54/0.72 (step @p58 :rule refl :args (@t111)) % 0.54/0.72 (step @p59 :rule cong :premises (@p58) :args (@t112)) % 0.54/0.72 (step @p60 :rule trans :premises (@p59 @p57)) % 0.54/0.72 (step @p61 :rule beta-reduce :args ((= @t115 @t112))) % 0.54/0.72 (step @p62 :rule trans :premises (@p61 @p60)) % 0.54/0.72 (step @p63 :rule cong :premises (@p62) :args ((not @t115))) % 0.54/0.72 (step @p64 :rule refl :args (@t25)) % 0.54/0.72 (step @p65 :rule refl :args (@t113)) % 0.54/0.72 (step @p66 :rule refl :args (@t33)) % 0.54/0.72 (step @p67 :rule cong :premises (@p66 @p65) :args ((= @t33 @t113))) % 0.54/0.72 (step @p68 :rule symm :premises (@p67)) % 0.54/0.72 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 0.54/0.72 (step @p70 :rule cong :premises (@p69) :args (@t103)) % 0.54/0.72 (step @p71 :rule cong :premises (@p70) :args (@t105)) % 0.54/0.72 (step @p72 :rule trans :premises (@p48 @p71)) % 0.54/0.72 (step @p73 :rule ho_cong :premises (@p72 @p64)) % 0.54/0.72 (step @p74 :rule cong :premises (@p73) :args (@t26)) % 0.54/0.72 (step @p75 :rule trans :premises (@p74 @p63)) % 0.54/0.72 (step @p76 :rule eq_resolve :premises (@p20 @p75)) % 0.54/0.72 (step @p77 :rule skolemize :premises (@p76)) % 0.54/0.72 (step @p78 :rule beta-reduce :args ((= @t122 (not (forall @t70 (or @t118 @t117)))))) % 0.54/0.72 (step @p79 :rule cong :premises (@p78) :args (@t123)) % 0.54/0.72 (step @p80 :rule beta-reduce :args ((= (_ @t114 @t121) @t123))) % 0.54/0.72 (step @p81 :rule trans :premises (@p80 @p79)) % 0.54/0.72 (step @p82 :rule refl :args (@t116)) % 0.54/0.72 (step @p83 :rule refl :args (@t124)) % 0.54/0.72 (step @p84 :rule cong :premises (@p83 @p82) :args ((= @t124 @t116))) % 0.54/0.72 (step @p85 :rule symm :premises (@p84)) % 0.54/0.72 (step @p86 :rule eq_resolve :premises (@p83 @p85)) % 0.54/0.72 (step @p87 :rule cong :premises (@p86) :args (@t125)) % 0.54/0.72 (step @p88 :rule refl :args (@t119)) % 0.54/0.72 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t126)) % 0.54/0.72 (step @p90 :rule cong :premises (@p89) :args ((forall @t70 @t126))) % 0.54/0.72 (step @p91 :rule refl :args (@t127)) % 0.54/0.72 (step @p92 :rule cong :premises (@p91) :args (@t128)) % 0.54/0.72 (step @p93 :rule refl :args (@t119)) % 0.54/0.72 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t129)) % 0.54/0.72 (step @p95 :rule cong :premises (@p94) :args (@t130)) % 0.54/0.72 (step @p96 :rule trans :premises (@p95 @p90)) % 0.54/0.72 (step @p97 :rule cong :premises (@p96) :args (@t131)) % 0.54/0.72 (step @p98 :rule cong :premises (@p97) :args (@t132)) % 0.54/0.72 (step @p99 :rule beta-reduce :args ((= (_ @t135 @t14) @t132))) % 0.54/0.72 (step @p100 :rule trans :premises (@p99 @p98)) % 0.54/0.72 (step @p101 :rule refl :args (@t14)) % 0.54/0.72 (step @p102 :rule beta-reduce :args ((= @t137 @t135))) % 0.54/0.72 (step @p103 :rule ho_cong :premises (@p102 @p101)) % 0.54/0.72 (step @p104 :rule trans :premises (@p103 @p100)) % 0.54/0.72 (step @p105 :rule refl :args (@t114)) % 0.54/0.72 (step @p106 :rule ho_cong :premises (@p105 @p104)) % 0.54/0.72 (step @p107 :rule trans :premises (@p106 @p81)) % 0.54/0.72 (step @p108 :rule refl :args (tptp.a1)) % 0.54/0.72 (step @p109 :rule beta-reduce :args ((= (_ (lambda @t62 (not @t140)) @t6) @t136))) % 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@t236))) % 0.54/0.73 (step @p336 :rule trans :premises (@p335 @p334)) % 0.54/0.73 (step @p337 :rule refl :args (@t2)) % 0.54/0.73 (step @p338 :rule beta-reduce :args ((= (_ @t154 tptp.a1) @t237))) % 0.54/0.73 (step @p339 :rule ho_cong :premises (@p338 @p337)) % 0.54/0.73 (step @p340 :rule trans :premises (@p339 @p336)) % 0.54/0.73 (step @p341 :rule ho_cong :premises (@p105 @p340)) % 0.54/0.73 (step @p342 :rule trans :premises (@p341 @p320)) % 0.54/0.73 (step @p343 :rule ho_cong :premises (@p154 @p108)) % 0.54/0.73 (step @p344 :rule ho_cong :premises (@p343 @p337)) % 0.54/0.73 (step @p345 :rule ho_cong :premises (@p72 @p344)) % 0.54/0.73 (step @p346 :rule trans :premises (@p345 @p342)) % 0.54/0.73 (step @p347 :rule eq_resolve :premises (@p2 @p346)) % 0.54/0.73 (step @p348 :rule instantiate :premises (@p347) :args ((@list @t155 @t156))) % 0.54/0.73 (step @p349 :rule cnf_or_pos :args (@t239)) % 0.54/0.73 (step @p350 :rule reordering :premises (@p349) :args ((or @t158 @t238 (not @t239)))) % 0.54/0.73 (step @p351 :rule chain_m_resolution :premises (@p350 @p175 @p348) :args (@t238 (@list false false) (@list @t157 @t239))) % 0.54/0.73 (step @p352 :rule cnf_or_pos :args (@t242)) % 0.54/0.73 (step @p353 :rule reordering :premises (@p352) :args ((or @t241 @t158 @t240 (not @t242)))) % 0.54/0.73 (step @p354 false :rule chain_m_resolution :premises (@p353 @p351 @p314 @p175 @p77) :args (false (@list false false false true) (@list @t238 @t242 @t157 @t241))) % 0.54/0.73 ) % 0.54/0.73 % SZS output end Proof % 0.54/0.73 % cvc5 exiting %------------------------------------------------------------------------------