%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR152^2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:13:09 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR152^2 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.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 : Mon Jun 1 22:00:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.37/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.attribute_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.subrelation_THFTYPE_IIiioIioI (-> (-> $$unsorted $$unsorted Bool) $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.part_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.instance_THFTYPE_IIIiioIIiioIoIioI (-> (-> (-> $$unsorted $$unsorted Bool) (-> $$unsorted $$unsorted Bool) Bool) $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.equal_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.relatedInternalConcept_THFTYPE_IIiioIIiioIoI (-> (-> $$unsorted $$unsorted Bool) (-> $$unsorted $$unsorted Bool) Bool)) % 0.37/0.58 (declare-const tptp.instance_THFTYPE_IIiooIioI (-> (-> $$unsorted Bool Bool) $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.domain_THFTYPE_IIiooIiioI (-> (-> $$unsorted Bool Bool) $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.n2_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.lFormula_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.lBinaryPredicate_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.member_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.domain_THFTYPE_IiiioI (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.lAgent_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.subrelation_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.agent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.37/0.58 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.subrelation_THFTYPE_IIioIIioIoI (-> (-> $$unsorted Bool) (-> $$unsorted Bool) Bool)) % 0.37/0.58 (declare-const tptp.knows_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.37/0.58 (declare-const tptp.lHuman_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.lCognitiveAgent_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.lSelfConnectedObject_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.lObject_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.subclass_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.instance_THFTYPE_IIiioIioI (-> (-> $$unsorted $$unsorted Bool) $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.instance_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.lOrganization_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.domain_THFTYPE_IIiioIiioI (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.range_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.lOrganism_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.lChris_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.lProcess_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.lIntentionalProcess_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.n1_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.patient_THFTYPE_i $$unsorted) % 0.37/0.58 (declare-const tptp.lAsymmetricRelation_THFTYPE_i $$unsorted) % 0.37/0.58 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "Z" $$unsorted)) % 0.37/0.58 (define @t3 () (_ tptp.instance_THFTYPE_IiioI @t2)) % 0.37/0.58 (define @t4 () (@var "X" $$unsorted)) % 0.37/0.58 (define @t5 () (@var "CLASS2" $$unsorted)) % 0.37/0.58 (define @t6 () (@var "THING" $$unsorted)) % 0.37/0.58 (define @t7 () (_ tptp.instance_THFTYPE_IiioI @t6)) % 0.37/0.58 (define @t8 () (@var "CLASS1" $$unsorted)) % 0.37/0.58 (define @t9 () (@var "ROW" $$unsorted)) % 0.37/0.58 (define @t10 () (@var "REL2" (-> $$unsorted Bool))) % 0.37/0.58 (define @t11 () (@var "REL1" (-> $$unsorted Bool))) % 0.37/0.58 (define @t12 () (@var "SITUATION" Bool)) % 0.37/0.58 (define @t13 () (@var "TIME" $$unsorted)) % 0.37/0.58 (define @t14 () (_ tptp.holdsDuring_THFTYPE_IiooI @t13)) % 0.37/0.58 (define @t15 () (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 0.37/0.58 (define @t16 () (_ @t15 tptp.lBill_THFTYPE_i)) % 0.37/0.58 (define @t17 () (@var "CLASS" $$unsorted)) % 0.37/0.58 (define @t18 () (@var "THING2" $$unsorted)) % 0.37/0.58 (define @t19 () (@var "THING1" $$unsorted)) % 0.37/0.58 (define @t20 () (@var "AGENT" $$unsorted)) % 0.37/0.58 (define @t21 () (_ tptp.instance_THFTYPE_IiioI @t20)) % 0.37/0.58 (define @t22 () (_ @t21 tptp.lAgent_THFTYPE_i)) % 0.37/0.58 (define @t23 () (@var "ORG" $$unsorted)) % 0.37/0.58 (define @t24 () (or (_ (_ tptp.subclass_THFTYPE_IiioI @t8) @t5) (_ (_ tptp.subclass_THFTYPE_IiioI @t5) @t8))) % 0.37/0.58 (define @t25 () (@var "REL" $$unsorted)) % 0.37/0.58 (define @t26 () (_ tptp.range_THFTYPE_IiioI @t25)) % 0.37/0.58 (define @t27 () (@var "PROC" $$unsorted)) % 0.37/0.58 (define @t28 () (_ (_ tptp.agent_THFTYPE_IiioI @t27) @t20)) % 0.37/0.58 (define @t29 () (@list @t27)) % 0.37/0.58 (define @t30 () (@list @t20)) % 0.37/0.58 (define @t31 () (@var "REL1" $$unsorted)) % 0.37/0.58 (define @t32 () (@var "REL2" $$unsorted)) % 0.37/0.58 (define @t33 () (_ tptp.knows_THFTYPE_IiooI tptp.lChris_THFTYPE_i)) % 0.37/0.58 (define @t34 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.37/0.58 (define @t35 () (_ @t34 @t4)) % 0.37/0.58 (define @t36 () (_ @t15 @t4)) % 0.37/0.58 (define @t37 () (@list @t4)) % 0.37/0.58 (define @t38 () (forall @t37 (=> @t36 @t35))) % 0.37/0.58 (define @t39 () (@var "NUMBER" $$unsorted)) % 0.37/0.58 (define @t40 () (_ (_ tptp.domain_THFTYPE_IiiioI @t25) @t39)) % 0.37/0.58 (define @t41 () (@var "PRED1" $$unsorted)) % 0.37/0.58 (define @t42 () (@var "PRED2" $$unsorted)) % 0.37/0.58 (define @t43 () (_ tptp.instance_THFTYPE_IIiioIioI tptp.range_THFTYPE_IiioI)) % 0.37/0.58 (define @t44 () (_ tptp.domain_THFTYPE_IIiooIiioI tptp.knows_THFTYPE_IiooI)) % 0.37/0.58 (define @t45 () (_ tptp.domain_THFTYPE_IIiioIiioI tptp.agent_THFTYPE_IiioI)) % 0.37/0.58 (define @t46 () (_ tptp.instance_THFTYPE_IIiooIioI tptp.holdsDuring_THFTYPE_IiooI)) % 0.37/0.58 (define @t47 () (_ tptp.domain_THFTYPE_IiiioI tptp.part_THFTYPE_i)) % 0.37/0.58 (define @t48 () (_ @t34 tptp.lBill_THFTYPE_i)) % 0.37/0.58 (define @t49 () (not (_ @t33 @t48))) % 0.37/0.58 (define @t50 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i @t4)) % 0.37/0.58 (define @t51 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i @t4)) % 0.37/0.58 (define @t52 () (forall @t37 (or (not @t51) @t50))) % 0.37/0.58 (define @t53 () (@purify @t52)) % 0.37/0.58 (define @t54 () (tptp.knows_THFTYPE_IiooI tptp.lChris_THFTYPE_i @t53)) % 0.37/0.58 (define @t55 () (_ @t33 @t53)) % 0.37/0.58 (define @t56 () (not @t36)) % 0.37/0.58 (define @t57 () (or @t56 @t35)) % 0.37/0.58 (define @t58 () (@purify @t48)) % 0.37/0.58 (define @t59 () (tptp.knows_THFTYPE_IiooI tptp.lChris_THFTYPE_i @t58)) % 0.37/0.58 (define @t60 () (_ @t33 @t58)) % 0.37/0.58 (define @t61 () (= @t48 @t58)) % 0.37/0.58 (define @t62 () (@purify true)) % 0.37/0.58 (define @t63 () (tptp.knows_THFTYPE_IiooI tptp.lChris_THFTYPE_i @t62)) % 0.37/0.58 (define @t64 () (_ @t33 @t62)) % 0.37/0.58 (define @t65 () (not @t58)) % 0.37/0.58 (define @t66 () (not @t63)) % 0.37/0.58 (define @t67 () (not @t62)) % 0.37/0.58 (define @t68 () (not @t59)) % 0.37/0.58 (define @t69 () (not @t68)) % 0.37/0.58 (define @t70 () (and @t63 @t62 @t58 @t68)) % 0.37/0.58 (define @t71 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.37/0.58 (define @t72 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.37/0.58 (define @t73 () (@list true)) % 0.37/0.58 (define @t74 () (not @t71)) % 0.37/0.58 (define @t75 () (or @t74 @t72)) % 0.37/0.58 (define @t76 () (not @t75)) % 0.37/0.58 (define @t77 () (not @t53)) % 0.37/0.58 (define @t78 () (not @t54)) % 0.37/0.58 (define @t79 () (and @t68 @t65 @t77 @t54)) % 0.37/0.58 (assume @p1 (forall (@list @t4 @t1 @t2) (=> (and (_ (_ tptp.subclass_THFTYPE_IiioI @t4) @t1) (_ @t3 @t4)) (_ @t3 @t1)))) % 0.37/0.58 (assume @p2 (_ (_ tptp.subclass_THFTYPE_IiioI tptp.lSelfConnectedObject_THFTYPE_i) tptp.lObject_THFTYPE_i)) % 0.37/0.58 (assume @p3 (forall (@list @t8 @t5) (=> (= @t8 @t5) (forall (@list @t6) (= (_ @t7 @t8) (_ @t7 @t5)))))) % 0.37/0.58 (assume @p4 (_ (_ tptp.subclass_THFTYPE_IiioI tptp.lHuman_THFTYPE_i) tptp.lCognitiveAgent_THFTYPE_i)) % 0.37/0.58 (assume @p5 (forall (@list @t10 @t9 @t11) (=> (and (_ (_ tptp.subrelation_THFTYPE_IIioIIioIoI @t11) @t10) (_ @t11 @t9)) (_ @t10 @t9)))) % 0.37/0.58 (assume @p6 (forall (@list @t13 @t12) (=> (_ @t14 (not @t12)) (not (_ @t14 @t12))))) % 0.37/0.58 (assume @p7 @t16) % 0.37/0.58 (assume @p8 (forall (@list @t18 @t19) (=> (= @t19 @t18) (forall (@list @t17) (= (_ (_ tptp.instance_THFTYPE_IiioI @t19) @t17) (_ (_ tptp.instance_THFTYPE_IiioI @t18) @t17)))))) % 0.37/0.58 (assume @p9 (forall (@list @t23 @t20) (=> (and (_ (_ tptp.instance_THFTYPE_IiioI @t23) tptp.lOrganization_THFTYPE_i) (_ (_ tptp.member_THFTYPE_IiioI @t20) @t23)) @t22))) % 0.37/0.58 (assume @p10 (forall (@list @t8 @t25 @t5) (=> (and (_ @t26 @t8) (_ @t26 @t5)) @t24))) % 0.37/0.58 (assume @p11 (_ (_ tptp.subclass_THFTYPE_IiioI tptp.lOrganism_THFTYPE_i) tptp.lAgent_THFTYPE_i)) % 0.37/0.58 (assume @p12 (forall @t30 (= @t22 (exists @t29 @t28)))) % 0.37/0.58 (assume @p13 (_ (_ tptp.subclass_THFTYPE_IiioI tptp.lOrganization_THFTYPE_i) tptp.lCognitiveAgent_THFTYPE_i)) % 0.37/0.58 (assume @p14 (forall (@list @t32 @t8 @t31) (=> (and (_ (_ tptp.subrelation_THFTYPE_IiioI @t31) @t32) (_ (_ tptp.range_THFTYPE_IiioI @t32) @t8)) (_ (_ tptp.range_THFTYPE_IiioI @t31) @t8)))) % 0.37/0.58 (assume @p15 (_ @t33 (= tptp.lChris_THFTYPE_i tptp.lChris_THFTYPE_i))) % 0.37/0.58 (assume @p16 (_ @t33 @t38)) % 0.37/0.58 (assume @p17 (_ (_ tptp.subclass_THFTYPE_IiioI tptp.lIntentionalProcess_THFTYPE_i) tptp.lProcess_THFTYPE_i)) % 0.37/0.58 (assume @p18 (forall (@list @t39 @t8 @t25 @t5) (=> (and (_ @t40 @t8) (_ @t40 @t5)) @t24))) % 0.37/0.58 (assume @p19 (forall @t29 (=> (_ (_ tptp.instance_THFTYPE_IiioI @t27) tptp.lIntentionalProcess_THFTYPE_i) (exists @t30 (and (_ @t21 tptp.lCognitiveAgent_THFTYPE_i) @t28))))) % 0.37/0.58 (assume @p20 (forall (@list @t39 @t41 @t8 @t42) (=> (and (_ (_ tptp.subrelation_THFTYPE_IiioI @t41) @t42) (_ (_ (_ tptp.domain_THFTYPE_IiiioI @t42) @t39) @t8)) (_ (_ (_ tptp.domain_THFTYPE_IiiioI @t41) @t39) @t8)))) % 0.37/0.58 (assume @p21 (_ (_ tptp.subclass_THFTYPE_IiioI tptp.lAgent_THFTYPE_i) tptp.lObject_THFTYPE_i)) % 0.37/0.58 (assume @p22 (_ (_ (_ tptp.domain_THFTYPE_IiiioI tptp.patient_THFTYPE_i) tptp.n1_THFTYPE_i) tptp.lProcess_THFTYPE_i)) % 0.37/0.58 (assume @p23 (_ @t43 tptp.lAsymmetricRelation_THFTYPE_i)) % 0.37/0.58 (assume @p24 (_ (_ (_ tptp.domain_THFTYPE_IIiioIiioI tptp.member_THFTYPE_IiioI) tptp.n1_THFTYPE_i) tptp.lSelfConnectedObject_THFTYPE_i)) % 0.37/0.58 (assume @p25 (_ @t43 tptp.lBinaryPredicate_THFTYPE_i)) % 0.37/0.58 (assume @p26 (_ (_ @t44 tptp.n2_THFTYPE_i) tptp.lFormula_THFTYPE_i)) % 0.37/0.58 (assume @p27 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.member_THFTYPE_IiioI) tptp.lAsymmetricRelation_THFTYPE_i)) % 0.37/0.58 (assume @p28 (_ (_ @t45 tptp.n2_THFTYPE_i) tptp.lAgent_THFTYPE_i)) % 0.37/0.58 (assume @p29 (_ (_ tptp.instance_THFTYPE_IIiooIioI tptp.knows_THFTYPE_IiooI) tptp.lBinaryPredicate_THFTYPE_i)) % 0.37/0.58 (assume @p30 (_ @t46 tptp.lAsymmetricRelation_THFTYPE_i)) % 0.37/0.58 (assume @p31 (_ (_ tptp.relatedInternalConcept_THFTYPE_IIiioIIiioIoI tptp.member_THFTYPE_IiioI) tptp.instance_THFTYPE_IiioI)) % 0.37/0.58 (assume @p32 (_ (_ (_ tptp.domain_THFTYPE_IIiooIiioI tptp.holdsDuring_THFTYPE_IiooI) tptp.n2_THFTYPE_i) tptp.lFormula_THFTYPE_i)) % 0.37/0.58 (assume @p33 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.subrelation_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i)) % 0.37/0.58 (assume @p34 (_ (_ @t44 tptp.n1_THFTYPE_i) tptp.lCognitiveAgent_THFTYPE_i)) % 0.37/0.58 (assume @p35 (_ (_ @t45 tptp.n1_THFTYPE_i) tptp.lProcess_THFTYPE_i)) % 0.37/0.58 (assume @p36 (_ (_ tptp.instance_THFTYPE_IiioI tptp.equal_THFTYPE_i) tptp.lBinaryPredicate_THFTYPE_i)) % 0.37/0.58 (assume @p37 (_ (_ tptp.instance_THFTYPE_IIIiioIIiioIoIioI tptp.relatedInternalConcept_THFTYPE_IIiioIIiioIoI) tptp.lBinaryPredicate_THFTYPE_i)) % 0.37/0.58 (assume @p38 (_ (_ tptp.subrelation_THFTYPE_IIiioIioI tptp.member_THFTYPE_IiioI) tptp.part_THFTYPE_i)) % 0.37/0.58 (assume @p39 (_ (_ @t47 tptp.n1_THFTYPE_i) tptp.lObject_THFTYPE_i)) % 0.37/0.58 (assume @p40 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.subclass_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i)) % 0.37/0.58 (assume @p41 (_ (_ (_ tptp.domain_THFTYPE_IiiioI tptp.attribute_THFTYPE_i) tptp.n1_THFTYPE_i) tptp.lObject_THFTYPE_i)) % 0.37/0.58 (assume @p42 (_ (_ tptp.instance_THFTYPE_IiioI tptp.attribute_THFTYPE_i) tptp.lAsymmetricRelation_THFTYPE_i)) % 0.37/0.58 (assume @p43 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.instance_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i)) % 0.37/0.58 (assume @p44 (_ @t46 tptp.lBinaryPredicate_THFTYPE_i)) % 0.37/0.58 (assume @p45 (_ (_ @t47 tptp.n2_THFTYPE_i) tptp.lObject_THFTYPE_i)) % 0.37/0.58 (assume @p46 @t49) % 0.37/0.58 (assume @p47 true) % 0.37/0.58 (step @p48 :rule refl :args (@t54)) % 0.37/0.58 (step @p49 :rule refl :args (@t55)) % 0.37/0.58 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t55 @t54))) % 0.37/0.58 (step @p51 :rule symm :premises (@p50)) % 0.37/0.58 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.37/0.58 (step @p53 :rule eq-refl :args (@t52)) % 0.37/0.58 (step @p54 :rule skolem_intro :args (@t53)) % 0.37/0.58 (step @p55 :rule refl :args (@t52)) % 0.37/0.58 (step @p56 :rule cong :premises (@p55 @p54) :args ((= @t52 @t53))) % 0.37/0.58 (step @p57 :rule trans :premises (@p56 @p53)) % 0.37/0.58 (step @p58 :rule true_elim :premises (@p57)) % 0.37/0.58 (step @p59 :rule refl :args (@t33)) % 0.37/0.58 (step @p60 :rule ho_cong :premises (@p59 @p58)) % 0.37/0.58 (step @p61 :rule trans :premises (@p60 @p52)) % 0.37/0.58 (step @p62 :rule refl :args (@t50)) % 0.37/0.58 (step @p63 :rule refl :args (@t35)) % 0.37/0.58 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t35 @t50))) % 0.37/0.58 (step @p65 :rule symm :premises (@p64)) % 0.37/0.58 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.37/0.58 (step @p67 :rule refl :args (@t51)) % 0.37/0.58 (step @p68 :rule refl :args (@t36)) % 0.37/0.58 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t36 @t51))) % 0.37/0.58 (step @p70 :rule symm :premises (@p69)) % 0.37/0.58 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.37/0.58 (step @p72 :rule cong :premises (@p71) :args (@t56)) % 0.37/0.58 (step @p73 :rule nary_cong :premises (@p72 @p66) :args (@t57)) % 0.37/0.58 (step @p74 :rule cong :premises (@p73) :args ((forall @t37 @t57))) % 0.37/0.58 (step @p75 :rule bool-impl-elim :args (@t36 @t35)) % 0.37/0.58 (step @p76 :rule cong :premises (@p75) :args (@t38)) % 0.37/0.58 (step @p77 :rule trans :premises (@p76 @p74)) % 0.37/0.58 (step @p78 :rule ho_cong :premises (@p59 @p77)) % 0.37/0.58 (step @p79 :rule trans :premises (@p78 @p61)) % 0.37/0.58 (step @p80 :rule eq_resolve :premises (@p16 @p79)) % 0.37/0.58 (step @p81 :rule refl :args (@t59)) % 0.37/0.58 (step @p82 :rule refl :args (@t60)) % 0.37/0.58 (step @p83 :rule cong :premises (@p82 @p81) :args ((= @t60 @t59))) % 0.37/0.58 (step @p84 :rule symm :premises (@p83)) % 0.37/0.58 (step @p85 :rule eq_resolve :premises (@p82 @p84)) % 0.37/0.58 (step @p86 :rule eq-refl :args (@t48)) % 0.37/0.58 (step @p87 :rule skolem_intro :args (@t58)) % 0.37/0.58 (step @p88 :rule refl :args (@t48)) % 0.37/0.58 (step @p89 :rule cong :premises (@p88 @p87) :args (@t61)) % 0.37/0.58 (step @p90 :rule trans :premises (@p89 @p86)) % 0.37/0.58 (step @p91 :rule true_elim :premises (@p90)) % 0.37/0.58 (step @p92 :rule ho_cong :premises (@p59 @p91)) % 0.37/0.58 (step @p93 :rule trans :premises (@p92 @p85)) % 0.37/0.58 (step @p94 :rule cong :premises (@p93) :args (@t49)) % 0.37/0.58 (step @p95 :rule eq_resolve :premises (@p46 @p94)) % 0.37/0.58 (step @p96 :rule bool-eq-true :args (@t62)) % 0.37/0.58 (step @p97 :rule skolem_intro :args (@t62)) % 0.37/0.58 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.37/0.58 (step @p99 :rule refl :args (@t63)) % 0.37/0.58 (step @p100 :rule refl :args (@t64)) % 0.37/0.58 (step @p101 :rule cong :premises (@p100 @p99) :args ((= @t64 @t63))) % 0.37/0.58 (step @p102 :rule symm :premises (@p101)) % 0.37/0.58 (step @p103 :rule eq_resolve :premises (@p100 @p102)) % 0.37/0.58 (step @p104 :rule symm :premises (@p97)) % 0.37/0.58 (step @p105 :rule ho_cong :premises (@p59 @p104)) % 0.37/0.58 (step @p106 :rule trans :premises (@p105 @p103)) % 0.37/0.58 (step @p107 :rule eq-refl :args (tptp.lChris_THFTYPE_i)) % 0.37/0.58 (step @p108 :rule ho_cong :premises (@p59 @p107)) % 0.37/0.58 (step @p109 :rule trans :premises (@p108 @p106)) % 0.37/0.58 (step @p110 :rule eq_resolve :premises (@p15 @p109)) % 0.37/0.58 (step @p111 :rule bool-double-not-elim :args (@t59)) % 0.37/0.58 (step @p112 :rule refl :args (@t65)) % 0.37/0.58 (step @p113 :rule refl :args (@t66)) % 0.37/0.58 (step @p114 :rule refl :args (@t67)) % 0.37/0.58 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112 @p111) :args ((or @t67 @t66 @t65 @t69))) % 0.37/0.58 (assume-push @p221 @t63) % 0.37/0.58 (assume-push @p222 @t62) % 0.37/0.58 (assume-push @p223 @t58) % 0.37/0.58 (assume-push @p224 @t68) % 0.37/0.58 (step @p120 :rule evaluate :args ((= false true))) % 0.37/0.58 (step @p121 :rule true_intro :premises (@p110)) % 0.37/0.58 (step @p122 :rule true_intro :premises (@p223)) % 0.37/0.58 (step @p123 :rule trans :premises (@p122 @p104)) % 0.37/0.58 (step @p124 :rule refl :args (tptp.lChris_THFTYPE_i)) % 0.37/0.58 (step @p125 :rule cong :premises (@p124 @p123) :args (@t59)) % 0.37/0.58 (step @p126 :rule false_intro :premises (@p95)) % 0.37/0.58 (step @p127 :rule symm :premises (@p126)) % 0.37/0.58 (step @p128 :rule trans :premises (@p127 @p125 @p121)) % 0.37/0.58 (step @p129 false :rule eq_resolve :premises (@p128 @p120)) % 0.37/0.58 (step-pop @p225 :rule scope :premises (@p129)) % 0.37/0.58 (step-pop @p226 :rule scope :premises (@p225)) % 0.37/0.58 (step-pop @p227 :rule scope :premises (@p226)) % 0.37/0.58 (step-pop @p228 :rule scope :premises (@p227)) % 0.37/0.58 (step @p130 :rule process_scope :premises (@p228) :args (false)) % 0.37/0.58 (assume-push @p229 @t62) % 0.37/0.58 (assume-push @p230 @t63) % 0.37/0.58 (assume-push @p231 @t58) % 0.37/0.58 (assume-push @p232 @t68) % 0.37/0.58 (step @p139 :rule and_intro :premises (@p110 @p98 @p231 @p95)) % 0.37/0.58 (step-pop @p233 :rule scope :premises (@p139)) % 0.37/0.58 (step-pop @p234 :rule scope :premises (@p233)) % 0.37/0.58 (step-pop @p235 :rule scope :premises (@p234)) % 0.37/0.58 (step-pop @p236 :rule scope :premises (@p235)) % 0.37/0.58 (step @p140 :rule process_scope :premises (@p236) :args (@t70)) % 0.37/0.58 (step @p145 :rule implies_elim :premises (@p140)) % 0.37/0.58 (step @p146 :rule resolution :premises (@p145 @p130) :args (true @t70)) % 0.37/0.58 (step @p147 :rule not_and :premises (@p146)) % 0.37/0.58 (step @p148 :rule eq_resolve :premises (@p147 @p115)) % 0.37/0.58 (step @p149 :rule reordering :premises (@p148) :args ((or @t59 @t66 @t67 @t65))) % 0.37/0.58 (step @p150 :rule chain_m_resolution :premises (@p149 @p95 @p110 @p98) :args (@t65 (@list true false false) (@list @t59 @t63 @t62))) % 0.37/0.58 (step @p151 :rule refl :args (@t71)) % 0.37/0.58 (step @p152 :rule refl :args (@t16)) % 0.37/0.58 (step @p153 :rule cong :premises (@p152 @p151) :args ((= @t16 @t71))) % 0.37/0.58 (step @p154 :rule symm :premises (@p153)) % 0.37/0.58 (step @p155 :rule eq_resolve :premises (@p152 @p154)) % 0.37/0.58 (step @p156 :rule eq_resolve :premises (@p7 @p155)) % 0.37/0.58 (step @p157 :rule eq-symm :args (@t72 @t58)) % 0.37/0.58 (step @p158 :rule refl :args (@t58)) % 0.37/0.58 (step @p159 :rule refl :args (@t72)) % 0.37/0.58 (step @p160 :rule refl :args (@t48)) % 0.37/0.58 (step @p161 :rule cong :premises (@p160 @p159) :args ((= @t48 @t72))) % 0.37/0.58 (step @p162 :rule symm :premises (@p161)) % 0.37/0.58 (step @p163 :rule eq_resolve :premises (@p160 @p162)) % 0.37/0.58 (step @p164 :rule cong :premises (@p163 @p158) :args (@t61)) % 0.37/0.58 (step @p165 :rule trans :premises (@p164 @p157)) % 0.37/0.58 (step @p166 :rule eq-symm :args (@t58 @t48)) % 0.37/0.58 (step @p167 :rule trans :premises (@p166 @p165)) % 0.37/0.58 (step @p168 :rule eq_resolve :premises (@p87 @p167)) % 0.37/0.58 (step @p169 :rule equiv_elim2 :premises (@p168)) % 0.37/0.58 (step @p170 :rule chain_m_resolution :premises (@p169 @p150) :args ((not @t72) @t73 (@list @t58))) % 0.37/0.58 (step @p171 :rule cnf_or_pos :args (@t75)) % 0.37/0.58 (step @p172 :rule reordering :premises (@p171) :args ((or @t72 @t74 @t76))) % 0.37/0.58 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p156) :args (@t76 (@list true false) (@list @t72 @t71))) % 0.37/0.58 (assume-push @p237 @t52) % 0.37/0.58 (step @p175 :rule instantiate :premises (@p237) :args ((@list tptp.lBill_THFTYPE_i))) % 0.37/0.58 (step-pop @p238 :rule scope :premises (@p175)) % 0.37/0.58 (step @p176 :rule process_scope :premises (@p238) :args (@t75)) % 0.37/0.58 (step @p178 :rule implies_elim :premises (@p176)) % 0.37/0.58 (step @p179 :rule chain_m_resolution :premises (@p178 @p173) :args ((not @t52) @t73 (@list @t75))) % 0.37/0.58 (step @p180 :rule equiv_elim2 :premises (@p58)) % 0.37/0.58 (step @p181 :rule chain_m_resolution :premises (@p180 @p179) :args (@t77 @t73 (@list @t52))) % 0.37/0.58 (step @p182 :rule bool-double-not-elim :args (@t58)) % 0.37/0.58 (step @p183 :rule bool-double-not-elim :args (@t53)) % 0.37/0.58 (step @p184 :rule refl :args (@t78)) % 0.37/0.58 (step @p185 :rule nary_cong :premises (@p184 @p111 @p183 @p182) :args ((or @t78 @t69 (not @t77) (not @t65)))) % 0.37/0.58 (assume-push @p239 @t68) % 0.37/0.58 (assume-push @p240 @t65) % 0.37/0.58 (assume-push @p241 @t77) % 0.37/0.58 (assume-push @p242 @t54) % 0.37/0.58 (step @p190 :rule evaluate :args ((= true false))) % 0.37/0.58 (step @p126 :rule false_intro :premises (@p95)) % 0.37/0.58 (step @p191 :rule false_intro :premises (@p240)) % 0.37/0.58 (step @p192 :rule symm :premises (@p191)) % 0.37/0.58 (step @p193 :rule false_intro :premises (@p241)) % 0.37/0.58 (step @p194 :rule trans :premises (@p193 @p192)) % 0.37/0.58 (step @p124 :rule refl :args (tptp.lChris_THFTYPE_i)) % 0.37/0.58 (step @p195 :rule cong :premises (@p124 @p194) :args (@t54)) % 0.37/0.58 (step @p196 :rule true_intro :premises (@p80)) % 0.37/0.58 (step @p197 :rule symm :premises (@p196)) % 0.37/0.58 (step @p198 :rule trans :premises (@p197 @p195 @p126)) % 0.37/0.58 (step @p199 false :rule eq_resolve :premises (@p198 @p190)) % 0.37/0.58 (step-pop @p243 :rule scope :premises (@p199)) % 0.37/0.58 (step-pop @p244 :rule scope :premises (@p243)) % 0.37/0.58 (step-pop @p245 :rule scope :premises (@p244)) % 0.37/0.58 (step-pop @p246 :rule scope :premises (@p245)) % 0.37/0.58 (step @p200 :rule process_scope :premises (@p246) :args (false)) % 0.37/0.58 (assume-push @p247 @t54) % 0.37/0.58 (assume-push @p248 @t68) % 0.37/0.58 (assume-push @p249 @t77) % 0.37/0.58 (assume-push @p250 @t65) % 0.37/0.58 (step @p209 :rule and_intro :premises (@p95 @p250 @p249 @p80)) % 0.37/0.58 (step-pop @p251 :rule scope :premises (@p209)) % 0.37/0.58 (step-pop @p252 :rule scope :premises (@p251)) % 0.37/0.58 (step-pop @p253 :rule scope :premises (@p252)) % 0.37/0.58 (step-pop @p254 :rule scope :premises (@p253)) % 0.37/0.58 (step @p210 :rule process_scope :premises (@p254) :args (@t79)) % 0.37/0.58 (step @p215 :rule implies_elim :premises (@p210)) % 0.37/0.58 (step @p216 :rule resolution :premises (@p215 @p200) :args (true @t79)) % 0.37/0.58 (step @p217 :rule not_and :premises (@p216)) % 0.37/0.58 (step @p218 :rule eq_resolve :premises (@p217 @p185)) % 0.37/0.58 (step @p219 :rule reordering :premises (@p218) :args ((or @t53 @t58 @t59 @t78))) % 0.37/0.58 (step @p220 false :rule chain_m_resolution :premises (@p219 @p181 @p150 @p95 @p80) :args (false (@list true true true false) (@list @t53 @t58 @t59 @t54))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------