%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR137^2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:13:04 AM UTC 2026 % Result : Theorem 150.26s 150.58s % Output : Proof 150.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : CSR137^2 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Mon Jun 1 21:57:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TH0 % 150.26/150.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.26/150.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 150.26/150.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 150.26/150.58 --- Run --ho-elim --full-saturate-quant at 18s... % 150.26/150.58 % SZS status Theorem % 150.26/150.58 % SZS output start Proof % 150.26/150.58 ( % 150.26/150.58 (declare-sort $$unsorted 0) % 150.26/150.58 (declare-const tptp.attribute_THFTYPE_i $$unsorted) % 150.26/150.58 (declare-const tptp.equal_THFTYPE_i $$unsorted) % 150.26/150.58 (declare-const tptp.n2_THFTYPE_i $$unsorted) % 150.26/150.58 (declare-const tptp.instance_THFTYPE_IIiooIioI (-> (-> $$unsorted Bool Bool) $$unsorted Bool)) % 150.26/150.58 (declare-const tptp.n1_THFTYPE_i $$unsorted) % 150.26/150.58 (declare-const tptp.lBinaryPredicate_THFTYPE_i $$unsorted) % 150.26/150.58 (declare-const tptp.instance_THFTYPE_IIiioIioI (-> (-> $$unsorted $$unsorted Bool) $$unsorted Bool)) % 150.26/150.58 (declare-const tptp.lAsymmetricRelation_THFTYPE_i $$unsorted) % 150.26/150.58 (declare-const tptp.domain_THFTYPE_IiiioI (-> $$unsorted $$unsorted $$unsorted Bool)) % 150.26/150.58 (declare-const tptp.domain_THFTYPE_IIiioIiioI (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 150.26/150.58 (declare-const tptp.subrelation_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.26/150.58 (declare-const tptp.range_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.26/150.58 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 150.26/150.58 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 150.26/150.58 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.26/150.58 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 150.26/150.58 (declare-const tptp.lAnna_THFTYPE_i $$unsorted) % 150.26/150.58 (declare-const tptp.parent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.26/150.58 (declare-const tptp.instance_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.26/150.58 (declare-const tptp.subclass_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.26/150.58 (declare-const tptp.lBen_THFTYPE_i $$unsorted) % 150.26/150.58 (declare-const tptp.lBob_THFTYPE_i $$unsorted) % 150.26/150.58 (declare-const tptp.subrelation_THFTYPE_IIioIIioIoI (-> (-> $$unsorted Bool) (-> $$unsorted Bool) Bool)) % 150.26/150.58 (declare-const tptp.lOrganism_THFTYPE_i $$unsorted) % 150.26/150.58 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 150.26/150.58 (define @t1 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 150.26/150.58 (define @t2 () (_ @t1 tptp.lBill_THFTYPE_i)) % 150.26/150.58 (define @t3 () (not (_ @t1 tptp.lMary_THFTYPE_i))) % 150.26/150.58 (define @t4 () (_ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 150.26/150.58 (define @t5 () (@var "Y" $$unsorted)) % 150.26/150.58 (define @t6 () (@var "Z" $$unsorted)) % 150.26/150.58 (define @t7 () (_ tptp.instance_THFTYPE_IiioI @t6)) % 150.26/150.58 (define @t8 () (@var "X" $$unsorted)) % 150.26/150.58 (define @t9 () (@var "CLASS2" $$unsorted)) % 150.26/150.58 (define @t10 () (@var "THING" $$unsorted)) % 150.26/150.58 (define @t11 () (_ tptp.instance_THFTYPE_IiioI @t10)) % 150.26/150.58 (define @t12 () (@var "CLASS1" $$unsorted)) % 150.26/150.58 (define @t13 () (_ tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i)) % 150.26/150.58 (define @t14 () (_ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 150.26/150.58 (define @t15 () (_ @t14 tptp.lAnna_THFTYPE_i)) % 150.26/150.58 (define @t16 () (@var "ROW" $$unsorted)) % 150.26/150.58 (define @t17 () (@var "REL2" (-> $$unsorted Bool))) % 150.26/150.58 (define @t18 () (@var "REL1" (-> $$unsorted Bool))) % 150.26/150.58 (define @t19 () (@var "PARENT" $$unsorted)) % 150.26/150.58 (define @t20 () (@var "ORGANISM" $$unsorted)) % 150.26/150.58 (define @t21 () (@var "SITUATION" Bool)) % 150.26/150.58 (define @t22 () (@var "TIME" $$unsorted)) % 150.26/150.58 (define @t23 () (_ tptp.holdsDuring_THFTYPE_IiooI @t22)) % 150.26/150.58 (define @t24 () (@var "CLASS" $$unsorted)) % 150.26/150.58 (define @t25 () (@var "THING2" $$unsorted)) % 150.26/150.58 (define @t26 () (@var "THING1" $$unsorted)) % 150.26/150.58 (define @t27 () (or (_ (_ tptp.subclass_THFTYPE_IiioI @t12) @t9) (_ (_ tptp.subclass_THFTYPE_IiioI @t9) @t12))) % 150.26/150.58 (define @t28 () (@var "REL" $$unsorted)) % 150.26/150.58 (define @t29 () (_ tptp.range_THFTYPE_IiioI @t28)) % 150.26/150.58 (define @t30 () (@var "CHILD" $$unsorted)) % 150.26/150.58 (define @t31 () (@var "REL1" $$unsorted)) % 150.26/150.58 (define @t32 () (@var "REL2" $$unsorted)) % 150.26/150.58 (define @t33 () (not (_ @t13 tptp.lAnna_THFTYPE_i))) % 150.26/150.58 (define @t34 () (@var "NUMBER" $$unsorted)) % 150.26/150.58 (define @t35 () (_ (_ tptp.domain_THFTYPE_IiiioI @t28) @t34)) % 150.26/150.58 (define @t36 () (@var "PRED1" $$unsorted)) % 150.26/150.58 (define @t37 () (@var "PRED2" $$unsorted)) % 150.26/150.58 (define @t38 () (_ tptp.instance_THFTYPE_IIiioIioI tptp.parent_THFTYPE_IiioI)) % 150.26/150.58 (define @t39 () (_ tptp.instance_THFTYPE_IIiioIioI tptp.range_THFTYPE_IiioI)) % 150.26/150.58 (define @t40 () (_ tptp.domain_THFTYPE_IIiioIiioI tptp.parent_THFTYPE_IiioI)) % 150.26/150.58 (define @t41 () (_ tptp.instance_THFTYPE_IIiooIioI tptp.holdsDuring_THFTYPE_IiooI)) % 150.26/150.58 (define @t42 () (@var "B" $$unsorted)) % 150.26/150.58 (define @t43 () (@var "A" $$unsorted)) % 150.26/150.58 (define @t44 () (@var "Q" (-> $$unsorted $$unsorted Bool))) % 150.26/150.58 (define @t45 () (_ (_ @t44 @t43) @t42)) % 150.26/150.58 (define @t46 () (@list @t43 @t42)) % 150.26/150.58 (define @t47 () (forall @t46 @t45)) % 150.26/150.58 (define @t48 () (not @t47)) % 150.26/150.58 (define @t49 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 150.26/150.58 (define @t50 () (_ (_ @t49 @t43) @t42)) % 150.26/150.58 (define @t51 () (forall @t46 @t50)) % 150.26/150.58 (define @t52 () (not @t51)) % 150.26/150.58 (define @t53 () (_ (_ @t44 @t5) tptp.lAnna_THFTYPE_i)) % 150.26/150.58 (define @t54 () (_ (_ @t49 @t5) tptp.lBill_THFTYPE_i)) % 150.26/150.58 (define @t55 () (and @t54 @t53 @t52 @t48)) % 150.26/150.58 (define @t56 () (@list @t44 @t49 @t5)) % 150.26/150.58 (define @t57 () (exists @t56 @t55)) % 150.26/150.58 (define @t58 () (not @t57)) % 150.26/150.58 (define @t59 () (@var "BOUND_VARIABLE_7847" $$unsorted)) % 150.26/150.58 (define @t60 () (@var "BOUND_VARIABLE_7845" $$unsorted)) % 150.26/150.58 (define @t61 () (@var "BOUND_VARIABLE_8103" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.26/150.58 (define @t62 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 150.26/150.58 (define @t63 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.26/150.58 (define @t64 () (@var "BOUND_VARIABLE_7842" $$unsorted)) % 150.26/150.58 (define @t65 () (@var "BOUND_VARIABLE_7840" $$unsorted)) % 150.26/150.58 (define @t66 () (@var "BOUND_VARIABLE_8108" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.26/150.58 (define @t67 () (forall (@list @t61 @t66 @t5 @t65 @t64 @t60 @t59) (or (not (_ @t63 (_ @t62 @t66 @t5) tptp.lBill_THFTYPE_i)) (not (_ @t63 (_ @t62 @t61 @t5) tptp.lAnna_THFTYPE_i)) (_ @t63 (_ @t62 @t66 @t65) @t64) (_ @t63 (_ @t62 @t61 @t60) @t59)))) % 150.26/150.58 (define @t68 () (_ @t44 @t60 @t59)) % 150.26/150.58 (define @t69 () (_ @t49 @t65 @t64)) % 150.26/150.58 (define @t70 () (_ @t44 @t5 tptp.lAnna_THFTYPE_i)) % 150.26/150.58 (define @t71 () (not @t70)) % 150.26/150.58 (define @t72 () (_ @t49 @t5 tptp.lBill_THFTYPE_i)) % 150.26/150.58 (define @t73 () (not @t72)) % 150.26/150.58 (define @t74 () (or @t73 @t71 @t69 @t68)) % 150.26/150.58 (define @t75 () (forall (@list @t44 @t49 @t5 @t65 @t64 @t60 @t59) @t74)) % 150.26/150.58 (define @t76 () (forall (@list @t65 @t64 @t60 @t59) @t74)) % 150.26/150.58 (define @t77 () (forall (@list @t60 @t59) @t68)) % 150.26/150.58 (define @t78 () (@list @t43 @t42)) % 150.26/150.58 (define @t79 () (forall (@list @t65 @t64) @t69)) % 150.26/150.58 (define @t80 () (or @t73 @t71 @t79 @t77)) % 150.26/150.58 (define @t81 () (_ @t44 @t43 @t42)) % 150.26/150.58 (define @t82 () (forall @t46 @t81)) % 150.26/150.58 (define @t83 () (_ @t49 @t43 @t42)) % 150.26/150.58 (define @t84 () (forall @t46 @t83)) % 150.26/150.58 (define @t85 () (not @t53)) % 150.26/150.58 (define @t86 () (not @t54)) % 150.26/150.58 (define @t87 () (or @t86 @t85 @t84 @t82)) % 150.26/150.58 (define @t88 () (not @t82)) % 150.26/150.58 (define @t89 () (not @t88)) % 150.26/150.58 (define @t90 () (not @t84)) % 150.26/150.58 (define @t91 () (not @t90)) % 150.26/150.58 (define @t92 () (or @t86 @t85 @t91 @t89)) % 150.26/150.58 (define @t93 () (and @t54 @t53 @t90 @t88)) % 150.26/150.58 (define @t94 () (forall @t56 (not @t93))) % 150.26/150.58 (define @t95 () (not @t94)) % 150.26/150.58 (define @t96 () (@const 2 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.26/150.58 (define @t97 () (_ @t63 (_ @t62 @t96 tptp.lSue_THFTYPE_i) tptp.lAnna_THFTYPE_i)) % 150.26/150.58 (define @t98 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.26/150.58 (define @t99 () (_ @t62 @t98 tptp.lSue_THFTYPE_i)) % 150.26/150.58 (define @t100 () (_ @t63 @t99 tptp.lBill_THFTYPE_i)) % 150.26/150.58 (define @t101 () (_ @t63 (_ @t62 @t96 tptp.lBob_THFTYPE_i) tptp.lAnna_THFTYPE_i)) % 150.26/150.58 (define @t102 () (_ @t63 @t99 tptp.lMary_THFTYPE_i)) % 150.26/150.58 (define @t103 () (not @t97)) % 150.26/150.58 (define @t104 () (not @t100)) % 150.26/150.58 (define @t105 () (or @t104 @t103 @t102 @t101)) % 150.26/150.58 (define @t106 () (not @t105)) % 150.26/150.58 (assume @p1 @t2) % 150.26/150.58 (assume @p2 @t3) % 150.26/150.58 (assume @p3 (_ @t4 tptp.lAnna_THFTYPE_i)) % 150.26/150.58 (assume @p4 (forall (@list @t8 @t5 @t6) (=> (and (_ (_ tptp.subclass_THFTYPE_IiioI @t8) @t5) (_ @t7 @t8)) (_ @t7 @t5)))) % 150.26/150.58 (assume @p5 (_ @t4 tptp.lBen_THFTYPE_i)) % 150.26/150.58 (assume @p6 (forall (@list @t12 @t9) (=> (= @t12 @t9) (forall (@list @t10) (= (_ @t11 @t12) (_ @t11 @t9)))))) % 150.26/150.58 (assume @p7 (not (_ @t13 tptp.lBen_THFTYPE_i))) % 150.26/150.58 (assume @p8 @t15) % 150.26/150.58 (assume @p9 (forall (@list @t17 @t16 @t18) (=> (and (_ (_ tptp.subrelation_THFTYPE_IIioIIioIoI @t18) @t17) (_ @t18 @t16)) (_ @t17 @t16)))) % 150.26/150.58 (assume @p10 (forall (@list @t20) (=> (_ (_ tptp.instance_THFTYPE_IiioI @t20) tptp.lOrganism_THFTYPE_i) (exists (@list @t19) (_ (_ tptp.parent_THFTYPE_IiioI @t20) @t19))))) % 150.26/150.58 (assume @p11 (forall (@list @t22 @t21) (=> (_ @t23 (not @t21)) (not (_ @t23 @t21))))) % 150.26/150.58 (assume @p12 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 150.26/150.58 (assume @p13 (forall (@list @t25 @t26) (=> (= @t26 @t25) (forall (@list @t24) (= (_ (_ tptp.instance_THFTYPE_IiioI @t26) @t24) (_ (_ tptp.instance_THFTYPE_IiioI @t25) @t24)))))) % 150.26/150.58 (assume @p14 (forall (@list @t12 @t28 @t9) (=> (and (_ @t29 @t12) (_ @t29 @t9)) @t27))) % 150.26/150.58 (assume @p15 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 150.26/150.58 (assume @p16 (forall (@list @t24 @t30 @t19) (=> (and (_ (_ tptp.parent_THFTYPE_IiioI @t30) @t19) (_ (_ tptp.subclass_THFTYPE_IiioI @t24) tptp.lOrganism_THFTYPE_i) (_ (_ tptp.instance_THFTYPE_IiioI @t19) @t24)) (_ (_ tptp.instance_THFTYPE_IiioI @t30) @t24)))) % 150.26/150.58 (assume @p17 (forall (@list @t32 @t12 @t31) (=> (and (_ (_ tptp.subrelation_THFTYPE_IiioI @t31) @t32) (_ (_ tptp.range_THFTYPE_IiioI @t32) @t12)) (_ (_ tptp.range_THFTYPE_IiioI @t31) @t12)))) % 150.26/150.58 (assume @p18 @t33) % 150.26/150.58 (assume @p19 (_ @t14 tptp.lBen_THFTYPE_i)) % 150.26/150.58 (assume @p20 (forall (@list @t34 @t12 @t28 @t9) (=> (and (_ @t35 @t12) (_ @t35 @t9)) @t27))) % 150.26/150.58 (assume @p21 (forall (@list @t34 @t36 @t12 @t37) (=> (and (_ (_ tptp.subrelation_THFTYPE_IiioI @t36) @t37) (_ (_ (_ tptp.domain_THFTYPE_IiiioI @t37) @t34) @t12)) (_ (_ (_ tptp.domain_THFTYPE_IiiioI @t36) @t34) @t12)))) % 150.26/150.58 (assume @p22 (_ @t38 tptp.lAsymmetricRelation_THFTYPE_i)) % 150.26/150.58 (assume @p23 (_ @t39 tptp.lAsymmetricRelation_THFTYPE_i)) % 150.26/150.58 (assume @p24 (_ @t39 tptp.lBinaryPredicate_THFTYPE_i)) % 150.26/150.58 (assume @p25 (_ @t38 tptp.lBinaryPredicate_THFTYPE_i)) % 150.26/150.58 (assume @p26 (_ (_ @t40 tptp.n1_THFTYPE_i) tptp.lOrganism_THFTYPE_i)) % 150.26/150.58 (assume @p27 (_ @t41 tptp.lAsymmetricRelation_THFTYPE_i)) % 150.26/150.58 (assume @p28 (_ (_ @t40 tptp.n2_THFTYPE_i) tptp.lOrganism_THFTYPE_i)) % 150.26/150.58 (assume @p29 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.subrelation_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i)) % 150.26/150.58 (assume @p30 (_ (_ tptp.instance_THFTYPE_IiioI tptp.equal_THFTYPE_i) tptp.lBinaryPredicate_THFTYPE_i)) % 150.26/150.58 (assume @p31 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.subclass_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i)) % 150.26/150.58 (assume @p32 (_ (_ tptp.instance_THFTYPE_IiioI tptp.attribute_THFTYPE_i) tptp.lAsymmetricRelation_THFTYPE_i)) % 150.26/150.58 (assume @p33 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.instance_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i)) % 150.26/150.58 (assume @p34 (_ @t41 tptp.lBinaryPredicate_THFTYPE_i)) % 150.26/150.58 (assume @p35 @t58) % 150.26/150.58 (assume @p36 true) % 150.26/150.58 ; WARNING: add trust step for TRUST % 150.26/150.58 ; trust TRUST PREPROCESS_HO_ELIM % 150.26/150.58 (step @p37 :rule trust :premises () :args ((= @t75 @t67))) % 150.26/150.58 (step @p38 :rule bool-double-not-elim :args (@t75)) % 150.26/150.58 (step @p39 :rule quant-merge-prenex :args ((= (forall @t56 @t76) @t75))) % 150.26/150.58 (step @p40 :rule alpha_equiv :args (@t77 (@list @t60 @t59) @t78)) % 150.26/150.58 (step @p41 :rule alpha_equiv :args (@t79 (@list @t65 @t64) @t78)) % 150.26/150.58 (step @p42 :rule refl :args (@t71)) % 150.26/150.58 (step @p43 :rule refl :args (@t73)) % 150.26/150.58 (step @p44 :rule nary_cong :premises (@p43 @p42 @p41 @p40) :args (@t80)) % 150.26/150.58 (step @p45 :rule quant-miniscope-or :args ((= @t76 @t80))) % 150.26/150.58 (step @p46 :rule trans :premises (@p45 @p44)) % 150.26/150.58 (step @p47 :rule symm :premises (@p46)) % 150.26/150.58 (step @p48 :rule cong :premises (@p47) :args ((forall @t56 (or @t73 @t71 @t84 @t82)))) % 150.26/150.58 (step @p49 :rule trans :premises (@p48 @p39)) % 150.26/150.58 (step @p50 :rule refl :args (@t82)) % 150.26/150.58 (step @p51 :rule refl :args (@t84)) % 150.26/150.58 (step @p52 :rule refl :args (@t70)) % 150.26/150.58 (step @p53 :rule refl :args (@t53)) % 150.26/150.58 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t53 @t70))) % 150.26/150.58 (step @p55 :rule symm :premises (@p54)) % 150.26/150.58 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 150.26/150.58 (step @p57 :rule cong :premises (@p56) :args (@t85)) % 150.26/150.58 (step @p58 :rule refl :args (@t72)) % 150.26/150.58 (step @p59 :rule refl :args (@t54)) % 150.26/150.58 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t54 @t72))) % 150.26/150.58 (step @p61 :rule symm :premises (@p60)) % 150.26/150.58 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 150.26/150.58 (step @p63 :rule cong :premises (@p62) :args (@t86)) % 150.26/150.59 (step @p64 :rule nary_cong :premises (@p63 @p57 @p51 @p50) :args (@t87)) % 150.26/150.59 (step @p65 :rule cong :premises (@p64) :args ((forall @t56 @t87))) % 150.26/150.59 (step @p66 :rule trans :premises (@p65 @p49)) % 150.26/150.59 (step @p67 :rule bool-double-not-elim :args (@t82)) % 150.26/150.59 (step @p68 :rule bool-double-not-elim :args (@t84)) % 150.26/150.59 (step @p69 :rule refl :args (@t85)) % 150.26/150.59 (step @p70 :rule refl :args (@t86)) % 150.26/150.59 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68 @p67) :args (@t92)) % 150.26/150.59 (step @p72 :rule aci_norm :args ((= (or @t86 (or @t85 (or @t91 @t89))) @t92))) % 150.26/150.59 (step @p73 :rule trans :premises (@p72 @p71)) % 150.26/150.59 (step @p74 :rule bool-and-de-morgan :args (@t90 @t88 true)) % 150.26/150.59 (step @p75 :rule nary_cong :premises (@p69 @p74) :args ((or @t85 (not (and @t90 @t88))))) % 150.26/150.59 (step @p76 :rule bool-and-de-morgan :args (@t53 @t90 (and @t88))) % 150.26/150.59 (step @p77 :rule trans :premises (@p76 @p75)) % 150.26/150.59 (step @p78 :rule nary_cong :premises (@p70 @p77) :args ((or @t86 (not (and @t53 @t90 @t88))))) % 150.26/150.59 (step @p79 :rule bool-and-de-morgan :args (@t54 @t53 (and @t90 @t88))) % 150.26/150.59 (step @p80 :rule trans :premises (@p79 @p78)) % 150.26/150.59 (step @p81 :rule trans :premises (@p80 @p73)) % 150.26/150.59 (step @p82 :rule cong :premises (@p81) :args (@t94)) % 150.26/150.59 (step @p83 :rule trans :premises (@p82 @p66)) % 150.26/150.59 (step @p84 :rule cong :premises (@p83) :args (@t95)) % 150.26/150.59 (step @p85 :rule exists-elim :args ((= (exists @t56 @t93) @t95))) % 150.26/150.59 (step @p86 :rule trans :premises (@p85 @p84)) % 150.26/150.59 (step @p87 :rule refl :args (@t81)) % 150.26/150.59 (step @p88 :rule refl :args (@t45)) % 150.26/150.59 (step @p89 :rule cong :premises (@p88 @p87) :args ((= @t45 @t81))) % 150.26/150.59 (step @p90 :rule symm :premises (@p89)) % 150.26/150.59 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 150.26/150.59 (step @p92 :rule cong :premises (@p91) :args (@t47)) % 150.26/150.59 (step @p93 :rule cong :premises (@p92) :args (@t48)) % 150.26/150.59 (step @p94 :rule refl :args (@t83)) % 150.26/150.59 (step @p95 :rule refl :args (@t50)) % 150.26/150.59 (step @p96 :rule cong :premises (@p95 @p94) :args ((= @t50 @t83))) % 150.26/150.59 (step @p97 :rule symm :premises (@p96)) % 150.26/150.59 (step @p98 :rule eq_resolve :premises (@p95 @p97)) % 150.26/150.59 (step @p99 :rule cong :premises (@p98) :args (@t51)) % 150.26/150.59 (step @p100 :rule cong :premises (@p99) :args (@t52)) % 150.26/150.59 (step @p101 :rule refl :args (@t53)) % 150.26/150.59 (step @p102 :rule refl :args (@t54)) % 150.26/150.59 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100 @p93) :args (@t55)) % 150.26/150.59 (step @p104 :rule cong :premises (@p103) :args (@t57)) % 150.26/150.59 (step @p105 :rule trans :premises (@p104 @p86)) % 150.26/150.59 (step @p106 :rule cong :premises (@p105) :args (@t58)) % 150.26/150.59 (step @p107 :rule trans :premises (@p106 @p38)) % 150.26/150.59 (step @p108 :rule trans :premises (@p107 @p37)) % 150.26/150.59 (step @p109 :rule eq_resolve :premises (@p35 @p108)) % 150.26/150.59 ; trust TRUST PREPROCESS_HO_ELIM % 150.26/150.59 (step @p110 :rule trust :premises () :args ((= @t15 @t97))) % 150.26/150.59 (step @p111 :rule eq_resolve :premises (@p8 @p110)) % 150.26/150.59 ; trust TRUST PREPROCESS_HO_ELIM % 150.26/150.59 (step @p112 :rule trust :premises () :args ((= @t2 @t100))) % 150.26/150.59 (step @p113 :rule eq_resolve :premises (@p1 @p112)) % 150.26/150.59 ; trust TRUST PREPROCESS_HO_ELIM % 150.26/150.59 (step @p114 :rule trust :premises () :args ((= @t33 (not @t101)))) % 150.26/150.59 (step @p115 :rule eq_resolve :premises (@p18 @p114)) % 150.26/150.59 ; trust TRUST PREPROCESS_HO_ELIM % 150.26/150.59 (step @p116 :rule trust :premises () :args ((= @t3 (not @t102)))) % 150.26/150.59 (step @p117 :rule eq_resolve :premises (@p2 @p116)) % 150.26/150.59 (step @p118 :rule cnf_or_pos :args (@t105)) % 150.26/150.59 (step @p119 :rule reordering :premises (@p118) :args ((or @t102 @t101 @t104 @t103 @t106))) % 150.26/150.59 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p115 @p113 @p111) :args (@t106 (@list true true false false) (@list @t102 @t101 @t100 @t97))) % 150.26/150.59 (assume-push @p127 @t67) % 150.26/150.59 (step @p122 :rule instantiate :premises (@p109) :args ((@list @t96 @t98 tptp.lSue_THFTYPE_i tptp.lSue_THFTYPE_i tptp.lMary_THFTYPE_i tptp.lBob_THFTYPE_i tptp.lAnna_THFTYPE_i))) % 150.26/150.59 (step-pop @p128 :rule scope :premises (@p122)) % 150.26/150.59 (step @p123 :rule process_scope :premises (@p128) :args (@t105)) % 150.26/150.59 (step @p125 :rule implies_elim :premises (@p123)) % 150.26/150.59 (step @p126 false :rule chain_m_resolution :premises (@p125 @p120 @p109) :args (false (@list true false) (@list @t105 @t67))) % 150.26/150.59 ) % 150.26/150.59 % SZS output end Proof % 150.26/150.59 % cvc5 exiting %------------------------------------------------------------------------------