%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR134^2 : 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 : 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 08:13:03 AM UTC 2026 % Result : Theorem 150.58s 150.98s % Output : Proof 150.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : CSR134^2 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 21:57:33 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TH0 % 150.58/150.98 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.58/150.98 --- 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... % 150.58/150.98 --- 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... % 150.58/150.98 --- Run --ho-elim --full-saturate-quant at 18s... % 150.58/150.98 % SZS status Theorem % 150.58/150.98 % SZS output start Proof % 150.58/150.98 ( % 150.58/150.98 (declare-sort $$unsorted 0) % 150.58/150.98 (declare-const tptp.instance_THFTYPE_IIiooIioI (-> (-> $$unsorted Bool Bool) $$unsorted Bool)) % 150.58/150.98 (declare-const tptp.lMeasureFn_THFTYPE_i $$unsorted) % 150.58/150.98 (declare-const tptp.patient_THFTYPE_i $$unsorted) % 150.58/150.98 (declare-const tptp.attribute_THFTYPE_i $$unsorted) % 150.58/150.98 (declare-const tptp.equal_THFTYPE_i $$unsorted) % 150.58/150.98 (declare-const tptp.agent_THFTYPE_i $$unsorted) % 150.58/150.98 (declare-const tptp.lTotalValuedRelation_THFTYPE_i $$unsorted) % 150.58/150.99 (declare-const tptp.n2_THFTYPE_i $$unsorted) % 150.58/150.99 (declare-const tptp.instance_THFTYPE_IIiiIioI (-> (-> $$unsorted $$unsorted) $$unsorted Bool)) % 150.58/150.99 (declare-const tptp.lUnaryFunction_THFTYPE_i $$unsorted) % 150.58/150.99 (declare-const tptp.domain_THFTYPE_IIiioIiioI (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 150.58/150.99 (declare-const tptp.lProcess_THFTYPE_i $$unsorted) % 150.58/150.99 (declare-const tptp.lBinaryPredicate_THFTYPE_i $$unsorted) % 150.58/150.99 (declare-const tptp.domain_THFTYPE_IIiiIiioI (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted Bool)) % 150.58/150.99 (declare-const tptp.n1_THFTYPE_i $$unsorted) % 150.58/150.99 (declare-const tptp.lInteger_THFTYPE_i $$unsorted) % 150.58/150.99 (declare-const tptp.lAsymmetricRelation_THFTYPE_i $$unsorted) % 150.58/150.99 (declare-const tptp.instance_THFTYPE_IIiioIioI (-> (-> $$unsorted $$unsorted Bool) $$unsorted Bool)) % 150.58/150.99 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.58/150.99 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 150.58/150.99 (declare-const tptp.lAnna_THFTYPE_i $$unsorted) % 150.58/150.99 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 150.58/150.99 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 150.58/150.99 (declare-const tptp.subclass_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.58/150.99 (declare-const tptp.lBen_THFTYPE_i $$unsorted) % 150.58/150.99 (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 150.58/150.99 (declare-const tptp.instance_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.58/150.99 (declare-const tptp.part_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.58/150.99 (declare-const tptp.n2009_THFTYPE_i $$unsorted) % 150.58/150.99 (declare-const tptp.parent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.58/150.99 (declare-const tptp.subrelation_THFTYPE_IIioIIioIoI (-> (-> $$unsorted Bool) (-> $$unsorted Bool) Bool)) % 150.58/150.99 (declare-const tptp.lBob_THFTYPE_i $$unsorted) % 150.58/150.99 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 150.58/150.99 (declare-const tptp.located_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.58/150.99 (declare-const tptp.range_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.58/150.99 (declare-const tptp.lWhenFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 150.58/150.99 (declare-const tptp.domain_THFTYPE_IiiioI (-> $$unsorted $$unsorted $$unsorted Bool)) % 150.58/150.99 (declare-const tptp.temporalPart_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.58/150.99 (declare-const tptp.subProcess_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.58/150.99 (declare-const tptp.lBeginFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 150.58/150.99 (declare-const tptp.lOrganism_THFTYPE_i $$unsorted) % 150.58/150.99 (declare-const tptp.lEndFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 150.58/150.99 (declare-const tptp.subrelation_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.58/150.99 (declare-const tptp.lTimeInterval_THFTYPE_i $$unsorted) % 150.58/150.99 (declare-const tptp.lWhenFn_THFTYPE_i $$unsorted) % 150.58/150.99 (declare-const tptp.meetsTemporally_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 150.58/150.99 (declare-const tptp.lTemporalRelation_THFTYPE_i $$unsorted) % 150.58/150.99 (define @t1 () (_ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 150.58/150.99 (define @t2 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 150.58/150.99 (define @t3 () (_ tptp.holdsDuring_THFTYPE_IiooI @t2)) % 150.58/150.99 (define @t4 () (_ @t3 (_ @t1 tptp.lBen_THFTYPE_i))) % 150.58/150.99 (define @t5 () (@var "Y" $$unsorted)) % 150.58/150.99 (define @t6 () (@var "Z" $$unsorted)) % 150.58/150.99 (define @t7 () (_ tptp.instance_THFTYPE_IiioI @t6)) % 150.58/150.99 (define @t8 () (@var "X" $$unsorted)) % 150.58/150.99 (define @t9 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 150.58/150.99 (define @t10 () (@var "CLASS2" $$unsorted)) % 150.58/150.99 (define @t11 () (@var "THING" $$unsorted)) % 150.58/150.99 (define @t12 () (_ tptp.instance_THFTYPE_IiioI @t11)) % 150.58/150.99 (define @t13 () (@var "CLASS1" $$unsorted)) % 150.58/150.99 (define @t14 () (@var "ROW" $$unsorted)) % 150.58/150.99 (define @t15 () (@var "REL2" (-> $$unsorted Bool))) % 150.58/150.99 (define @t16 () (@var "REL1" (-> $$unsorted Bool))) % 150.58/150.99 (define @t17 () (_ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 150.58/150.99 (define @t18 () (_ @t3 (_ @t17 tptp.lAnna_THFTYPE_i))) % 150.58/150.99 (define @t19 () (@var "OBJ2" $$unsorted)) % 150.58/150.99 (define @t20 () (@var "SUB" $$unsorted)) % 150.58/150.99 (define @t21 () (_ tptp.located_THFTYPE_IiioI @t20)) % 150.58/150.99 (define @t22 () (@var "OBJ1" $$unsorted)) % 150.58/150.99 (define @t23 () (@list @t20)) % 150.58/150.99 (define @t24 () (@var "CLASS" $$unsorted)) % 150.58/150.99 (define @t25 () (@var "THING2" $$unsorted)) % 150.58/150.99 (define @t26 () (@var "THING1" $$unsorted)) % 150.58/150.99 (define @t27 () (or (_ (_ tptp.subclass_THFTYPE_IiioI @t13) @t10) (_ (_ tptp.subclass_THFTYPE_IiioI @t10) @t13))) % 150.58/150.99 (define @t28 () (@var "REL" $$unsorted)) % 150.58/150.99 (define @t29 () (_ tptp.range_THFTYPE_IiioI @t28)) % 150.58/150.99 (define @t30 () (@var "PROC" $$unsorted)) % 150.58/150.99 (define @t31 () (@var "SUBPROC" $$unsorted)) % 150.58/150.99 (define @t32 () (_ (_ tptp.subProcess_THFTYPE_IiioI @t31) @t30)) % 150.58/150.99 (define @t33 () (@list @t31 @t30)) % 150.58/150.99 (define @t34 () (@var "CHILD" $$unsorted)) % 150.58/150.99 (define @t35 () (@var "PARENT" $$unsorted)) % 150.58/150.99 (define @t36 () (@var "INTERVAL2" $$unsorted)) % 150.58/150.99 (define @t37 () (@var "INTERVAL1" $$unsorted)) % 150.58/150.99 (define @t38 () (_ tptp.lEndFn_THFTYPE_IiiI @t37)) % 150.58/150.99 (define @t39 () (_ tptp.lBeginFn_THFTYPE_IiiI @t36)) % 150.58/150.99 (define @t40 () (@list @t37 @t36)) % 150.58/150.99 (define @t41 () (_ tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i)) % 150.58/150.99 (define @t42 () (_ @t3 (not (_ @t41 tptp.lAnna_THFTYPE_i)))) % 150.58/150.99 (define @t43 () (@var "REL1" $$unsorted)) % 150.58/150.99 (define @t44 () (@var "REL2" $$unsorted)) % 150.58/150.99 (define @t45 () (_ @t3 (_ @t1 tptp.lAnna_THFTYPE_i))) % 150.58/150.99 (define @t46 () (@var "NUMBER" $$unsorted)) % 150.58/150.99 (define @t47 () (_ (_ tptp.domain_THFTYPE_IiiioI @t28) @t46)) % 150.58/150.99 (define @t48 () (@var "REGION" $$unsorted)) % 150.58/150.99 (define @t49 () (@var "ORGANISM" $$unsorted)) % 150.58/150.99 (define @t50 () (@var "SITUATION" Bool)) % 150.58/150.99 (define @t51 () (@var "TIME" $$unsorted)) % 150.58/150.99 (define @t52 () (_ tptp.holdsDuring_THFTYPE_IiooI @t51)) % 150.58/150.99 (define @t53 () (_ @t52 @t50)) % 150.58/150.99 (define @t54 () (not @t53)) % 150.58/150.99 (define @t55 () (not @t50)) % 150.58/150.99 (define @t56 () (_ @t52 @t55)) % 150.58/150.99 (define @t57 () (@list @t51 @t50)) % 150.58/150.99 (define @t58 () (forall @t57 (=> @t56 @t54))) % 150.58/150.99 (define @t59 () (@var "OBJ" $$unsorted)) % 150.58/150.99 (define @t60 () (@var "PROCESS" $$unsorted)) % 150.58/150.99 (define @t61 () (@var "TIME2" $$unsorted)) % 150.58/150.99 (define @t62 () (@var "TIME1" $$unsorted)) % 150.58/150.99 (define @t63 () (@var "PRED1" $$unsorted)) % 150.58/150.99 (define @t64 () (@var "PRED2" $$unsorted)) % 150.58/150.99 (define @t65 () (_ tptp.instance_THFTYPE_IIiioIioI tptp.meetsTemporally_THFTYPE_IiioI)) % 150.58/150.99 (define @t66 () (_ tptp.instance_THFTYPE_IIiioIioI tptp.temporalPart_THFTYPE_IiioI)) % 150.58/150.99 (define @t67 () (_ tptp.instance_THFTYPE_IIiioIioI tptp.range_THFTYPE_IiioI)) % 150.58/150.99 (define @t68 () (_ tptp.instance_THFTYPE_IIiioIioI tptp.parent_THFTYPE_IiioI)) % 150.58/150.99 (define @t69 () (_ tptp.domain_THFTYPE_IIiioIiioI tptp.subProcess_THFTYPE_IiioI)) % 150.58/150.99 (define @t70 () (_ tptp.domain_THFTYPE_IIiioIiioI tptp.parent_THFTYPE_IiioI)) % 150.58/150.99 (define @t71 () (_ tptp.domain_THFTYPE_IIiioIiioI tptp.meetsTemporally_THFTYPE_IiioI)) % 150.58/150.99 (define @t72 () (_ tptp.instance_THFTYPE_IIiiIioI tptp.lBeginFn_THFTYPE_IiiI)) % 150.58/150.99 (define @t73 () (_ tptp.instance_THFTYPE_IIiiIioI tptp.lEndFn_THFTYPE_IiiI)) % 150.58/150.99 (define @t74 () (_ tptp.instance_THFTYPE_IIiiIioI tptp.lYearFn_THFTYPE_IiiI)) % 150.58/150.99 (define @t75 () (_ tptp.instance_THFTYPE_IiioI tptp.lWhenFn_THFTYPE_i)) % 150.58/150.99 (define @t76 () (_ tptp.instance_THFTYPE_IIiooIioI tptp.holdsDuring_THFTYPE_IiooI)) % 150.58/150.99 (define @t77 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 150.58/150.99 (define @t78 () (_ (_ @t77 @t5) tptp.lAnna_THFTYPE_i)) % 150.58/150.99 (define @t79 () (not @t78)) % 150.58/150.99 (define @t80 () (_ (_ @t77 @t8) tptp.lAnna_THFTYPE_i)) % 150.58/150.99 (define @t81 () (and @t80 @t79)) % 150.58/150.99 (define @t82 () (_ @t3 @t81)) % 150.58/150.99 (define @t83 () (@list @t77 @t8 @t5)) % 150.58/150.99 (define @t84 () (exists @t83 @t82)) % 150.58/150.99 (define @t85 () (not @t84)) % 150.58/150.99 (define @t86 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.58/150.99 (define @t87 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 150.58/150.99 (define @t88 () (_ @t87 @t86 tptp.lMary_THFTYPE_i)) % 150.58/150.99 (define @t89 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.58/150.99 (define @t90 () (_ @t89 @t88 tptp.lBen_THFTYPE_i)) % 150.58/150.99 (define @t91 () (@purify @t90)) % 150.58/150.99 (define @t92 () (_ (@const 4 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted)) (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted))) tptp.n2009_THFTYPE_i)) % 150.58/150.99 (define @t93 () (@const 5 (@ho-elim-sort (-> $$unsorted Bool Bool)))) % 150.58/150.99 (define @t94 () (@const 6 (-> (@ho-elim-sort (-> $$unsorted Bool Bool)) $$unsorted (@ho-elim-sort (-> Bool Bool))))) % 150.58/150.99 (define @t95 () (_ @t94 @t93 @t92)) % 150.58/150.99 (define @t96 () (@const 7 (-> (@ho-elim-sort (-> Bool Bool)) Bool Bool))) % 150.58/150.99 (define @t97 () (_ @t96 @t95 @t90)) % 150.58/150.99 (define @t98 () (@var "BOUND_VARIABLE_8615" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.58/150.99 (define @t99 () (forall (@list @t98 @t8 @t5) (not (_ @t96 @t95 (and (_ @t89 (_ @t87 @t98 @t8) tptp.lAnna_THFTYPE_i) (not (_ @t89 (_ @t87 @t98 @t5) tptp.lAnna_THFTYPE_i))))))) % 150.58/150.99 (define @t100 () (_ @t77 @t5 tptp.lAnna_THFTYPE_i)) % 150.58/150.99 (define @t101 () (not @t100)) % 150.58/150.99 (define @t102 () (_ @t77 @t8 tptp.lAnna_THFTYPE_i)) % 150.58/150.99 (define @t103 () (and @t102 @t101)) % 150.58/150.99 (define @t104 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 150.58/150.99 (define @t105 () (tptp.holdsDuring_THFTYPE_IiooI @t104 @t103)) % 150.58/150.99 (define @t106 () (forall @t83 (not @t105))) % 150.58/150.99 (define @t107 () (not @t82)) % 150.58/150.99 (define @t108 () (forall @t83 @t107)) % 150.58/150.99 (define @t109 () (not @t108)) % 150.58/150.99 (define @t110 () (_ @t89 (_ @t87 @t86 tptp.lSue_THFTYPE_i) tptp.lAnna_THFTYPE_i)) % 150.58/150.99 (define @t111 () (not @t110)) % 150.58/150.99 (define @t112 () (and @t110 @t111)) % 150.58/150.99 (define @t113 () (@purify @t112)) % 150.58/150.99 (define @t114 () (_ @t96 @t95 @t112)) % 150.58/150.99 (define @t115 () (not @t114)) % 150.58/150.99 (define @t116 () (_ @t96 @t95 @t113)) % 150.58/150.99 (define @t117 () (not @t116)) % 150.58/150.99 (define @t118 () (@list false)) % 150.58/150.99 (define @t119 () (@list @t99)) % 150.58/150.99 (define @t120 () (not @t91)) % 150.58/150.99 (define @t121 () (@purify @t120)) % 150.58/150.99 (define @t122 () (_ @t89 (_ @t87 @t86 tptp.lBob_THFTYPE_i) tptp.lAnna_THFTYPE_i)) % 150.58/150.99 (define @t123 () (not @t122)) % 150.58/150.99 (define @t124 () (_ @t89 @t88 tptp.lAnna_THFTYPE_i)) % 150.58/150.99 (define @t125 () (and @t124 @t123)) % 150.58/150.99 (define @t126 () (@purify @t125)) % 150.58/150.99 (define @t127 () (_ @t96 @t95 @t125)) % 150.58/150.99 (define @t128 () (not @t127)) % 150.58/150.99 (define @t129 () (_ @t96 @t95 @t126)) % 150.58/150.99 (define @t130 () (not @t129)) % 150.58/150.99 (define @t131 () (not @t126)) % 150.58/150.99 (define @t132 () (_ @t96 @t95 @t91)) % 150.58/150.99 (define @t133 () (not @t132)) % 150.58/150.99 (define @t134 () (= false true)) % 150.58/150.99 (define @t135 () (and @t132 @t91 @t126 @t130)) % 150.58/150.99 (define @t136 () (@purify @t124)) % 150.58/150.99 (define @t137 () (_ @t96 @t95 @t124)) % 150.58/150.99 (define @t138 () (_ @t94 @t93 @t51)) % 150.58/150.99 (define @t139 () (forall @t57 (or (not (_ @t96 @t138 @t55)) (not (_ @t96 @t138 @t50))))) % 150.58/150.99 (define @t140 () (tptp.holdsDuring_THFTYPE_IiooI @t51 @t50)) % 150.58/150.99 (define @t141 () (tptp.holdsDuring_THFTYPE_IiooI @t51 @t55)) % 150.58/150.99 (define @t142 () (not @t56)) % 150.58/150.99 (define @t143 () (or @t142 @t54)) % 150.58/150.99 (define @t144 () (_ @t96 @t95 @t120)) % 150.58/150.99 (define @t145 () (not @t144)) % 150.58/150.99 (define @t146 () (or @t145 @t133)) % 150.58/150.99 (define @t147 () (_ @t96 @t95 @t121)) % 150.58/150.99 (define @t148 () (not @t147)) % 150.58/150.99 (define @t149 () (or @t148 @t133)) % 150.58/150.99 (define @t150 () (_ @t96 @t95 @t136)) % 150.58/150.99 (define @t151 () (not @t150)) % 150.58/150.99 (define @t152 () (not @t121)) % 150.58/150.99 (define @t153 () (not @t152)) % 150.58/150.99 (define @t154 () (not @t148)) % 150.58/150.99 (define @t155 () (not @t136)) % 150.58/150.99 (define @t156 () (= true false)) % 150.58/150.99 (define @t157 () (and @t148 @t152 @t155 @t150)) % 150.58/150.99 (define @t158 () (not @t124)) % 150.58/150.99 (define @t159 () (@purify @t123)) % 150.58/150.99 (define @t160 () (_ @t96 @t95 @t123)) % 150.58/150.99 (define @t161 () (_ @t96 @t95 @t159)) % 150.58/150.99 (define @t162 () (not @t161)) % 150.58/150.99 (define @t163 () (not @t159)) % 150.58/150.99 (define @t164 () (and @t148 @t152 @t163 @t161)) % 150.58/150.99 (define @t165 () (not @t120)) % 150.58/150.99 (define @t166 () (@list true)) % 150.58/150.99 (define @t167 () (@purify @t110)) % 150.58/150.99 (define @t168 () (_ @t96 @t95 @t110)) % 150.58/150.99 (define @t169 () (_ @t96 @t95 @t167)) % 150.58/150.99 (define @t170 () (not @t169)) % 150.58/150.99 (define @t171 () (not @t167)) % 150.58/150.99 (define @t172 () (and @t148 @t121 @t167 @t169)) % 150.58/150.99 (define @t173 () (not @t112)) % 150.58/150.99 (define @t174 () (not @t113)) % 150.58/150.99 (define @t175 () (and @t132 @t120 @t174 @t117)) % 150.58/150.99 (assume @p1 @t4) % 150.58/150.99 (assume @p2 (forall (@list @t8 @t5 @t6) (=> (and (_ (_ tptp.subclass_THFTYPE_IiioI @t8) @t5) (_ @t7 @t8)) (_ @t7 @t5)))) % 150.58/150.99 (assume @p3 (_ @t3 (_ @t9 tptp.lBill_THFTYPE_i))) % 150.58/150.99 (assume @p4 (_ @t3 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i))) % 150.58/150.99 (assume @p5 (forall (@list @t13 @t10) (=> (= @t13 @t10) (forall (@list @t11) (= (_ @t12 @t13) (_ @t12 @t10)))))) % 150.58/150.99 (assume @p6 (forall (@list @t15 @t14 @t16) (=> (and (_ (_ tptp.subrelation_THFTYPE_IIioIIioIoI @t16) @t15) (_ @t16 @t14)) (_ @t15 @t14)))) % 150.58/150.99 (assume @p7 @t18) % 150.58/150.99 (assume @p8 (forall (@list @t22 @t19) (=> (_ (_ tptp.located_THFTYPE_IiioI @t22) @t19) (forall @t23 (=> (_ (_ tptp.part_THFTYPE_IiioI @t20) @t22) (_ @t21 @t19)))))) % 150.58/150.99 (assume @p9 (forall (@list @t25 @t26) (=> (= @t26 @t25) (forall (@list @t24) (= (_ (_ tptp.instance_THFTYPE_IiioI @t26) @t24) (_ (_ tptp.instance_THFTYPE_IiioI @t25) @t24)))))) % 150.58/150.99 (assume @p10 (forall (@list @t13 @t28 @t10) (=> (and (_ @t29 @t13) (_ @t29 @t10)) @t27))) % 150.58/150.99 (assume @p11 (_ @t3 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i))) % 150.58/150.99 (assume @p12 (forall @t33 (=> @t32 (_ (_ tptp.temporalPart_THFTYPE_IiioI (_ tptp.lWhenFn_THFTYPE_IiiI @t31)) (_ tptp.lWhenFn_THFTYPE_IiiI @t30))))) % 150.58/150.99 (assume @p13 (forall (@list @t24 @t34 @t35) (=> (and (_ (_ tptp.parent_THFTYPE_IiioI @t34) @t35) (_ (_ tptp.subclass_THFTYPE_IiioI @t24) tptp.lOrganism_THFTYPE_i) (_ (_ tptp.instance_THFTYPE_IiioI @t35) @t24)) (_ (_ tptp.instance_THFTYPE_IiioI @t34) @t24)))) % 150.58/150.99 (assume @p14 (forall @t40 (=> (and (= (_ tptp.lBeginFn_THFTYPE_IiiI @t37) @t39) (= @t38 (_ tptp.lEndFn_THFTYPE_IiiI @t36))) (= @t37 @t36)))) % 150.58/150.99 (assume @p15 @t42) % 150.58/150.99 (assume @p16 (forall (@list @t44 @t13 @t43) (=> (and (_ (_ tptp.subrelation_THFTYPE_IiioI @t43) @t44) (_ (_ tptp.range_THFTYPE_IiioI @t44) @t13)) (_ (_ tptp.range_THFTYPE_IiioI @t43) @t13)))) % 150.58/150.99 (assume @p17 @t45) % 150.58/150.99 (assume @p18 (forall (@list @t46 @t13 @t28 @t10) (=> (and (_ @t47 @t13) (_ @t47 @t10)) @t27))) % 150.58/150.99 (assume @p19 (forall @t33 (=> @t32 (forall (@list @t48) (=> (_ (_ tptp.located_THFTYPE_IiioI @t30) @t48) (_ (_ tptp.located_THFTYPE_IiioI @t31) @t48)))))) % 150.58/150.99 (assume @p20 (_ @t3 (not (_ @t41 tptp.lBen_THFTYPE_i)))) % 150.58/150.99 (assume @p21 (_ @t3 (not (_ @t9 tptp.lMary_THFTYPE_i)))) % 150.58/150.99 (assume @p22 (forall (@list @t49) (=> (_ (_ tptp.instance_THFTYPE_IiioI @t49) tptp.lOrganism_THFTYPE_i) (exists (@list @t35) (_ (_ tptp.parent_THFTYPE_IiioI @t49) @t35))))) % 150.58/150.99 (assume @p23 @t58) % 150.58/150.99 (assume @p24 (_ (_ tptp.range_THFTYPE_IiioI tptp.lWhenFn_THFTYPE_i) tptp.lTimeInterval_THFTYPE_i)) % 150.58/150.99 (assume @p25 (forall (@list @t59 @t60) (=> (_ (_ tptp.located_THFTYPE_IiioI @t60) @t59) (forall @t23 (=> (_ (_ tptp.subProcess_THFTYPE_IiioI @t20) @t60) (_ @t21 @t59)))))) % 150.58/150.99 (assume @p26 (_ @t3 (_ @t17 tptp.lBen_THFTYPE_i))) % 150.58/150.99 (assume @p27 (forall @t40 (= (_ (_ tptp.meetsTemporally_THFTYPE_IiioI @t37) @t36) (= @t38 @t39)))) % 150.58/150.99 (assume @p28 (forall (@list @t50 @t61 @t62) (=> (and (_ (_ tptp.holdsDuring_THFTYPE_IiooI @t62) @t50) (_ (_ tptp.temporalPart_THFTYPE_IiioI @t61) @t62)) (_ (_ tptp.holdsDuring_THFTYPE_IiooI @t61) @t50)))) % 150.58/150.99 (assume @p29 (forall (@list @t46 @t63 @t13 @t64) (=> (and (_ (_ tptp.subrelation_THFTYPE_IiioI @t63) @t64) (_ (_ (_ tptp.domain_THFTYPE_IiiioI @t64) @t46) @t13)) (_ (_ (_ tptp.domain_THFTYPE_IiiioI @t63) @t46) @t13)))) % 150.58/150.99 (assume @p30 (_ @t65 tptp.lTemporalRelation_THFTYPE_i)) % 150.58/150.99 (assume @p31 (_ @t66 tptp.lTemporalRelation_THFTYPE_i)) % 150.58/150.99 (assume @p32 (_ @t67 tptp.lAsymmetricRelation_THFTYPE_i)) % 150.58/150.99 (assume @p33 (_ (_ (_ tptp.domain_THFTYPE_IIiiIiioI tptp.lYearFn_THFTYPE_IiiI) tptp.n1_THFTYPE_i) tptp.lInteger_THFTYPE_i)) % 150.58/150.99 (assume @p34 (_ @t67 tptp.lBinaryPredicate_THFTYPE_i)) % 150.58/150.99 (assume @p35 (_ @t68 tptp.lBinaryPredicate_THFTYPE_i)) % 150.58/150.99 (assume @p36 (_ @t65 tptp.lAsymmetricRelation_THFTYPE_i)) % 150.58/150.99 (assume @p37 (_ (_ @t69 tptp.n1_THFTYPE_i) tptp.lProcess_THFTYPE_i)) % 150.58/150.99 (assume @p38 (_ @t66 tptp.lBinaryPredicate_THFTYPE_i)) % 150.58/150.99 (assume @p39 (_ (_ @t70 tptp.n1_THFTYPE_i) tptp.lOrganism_THFTYPE_i)) % 150.58/150.99 (assume @p40 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.subProcess_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i)) % 150.58/150.99 (assume @p41 (_ (_ @t71 tptp.n1_THFTYPE_i) tptp.lTimeInterval_THFTYPE_i)) % 150.58/150.99 (assume @p42 (_ @t72 tptp.lUnaryFunction_THFTYPE_i)) % 150.58/150.99 (assume @p43 (_ (_ @t70 tptp.n2_THFTYPE_i) tptp.lOrganism_THFTYPE_i)) % 150.58/150.99 (assume @p44 (_ (_ @t69 tptp.n2_THFTYPE_i) tptp.lProcess_THFTYPE_i)) % 150.58/150.99 (assume @p45 (_ @t72 tptp.lTotalValuedRelation_THFTYPE_i)) % 150.58/150.99 (assume @p46 (_ (_ (_ tptp.domain_THFTYPE_IiiioI tptp.agent_THFTYPE_i) tptp.n1_THFTYPE_i) tptp.lProcess_THFTYPE_i)) % 150.58/150.99 (assume @p47 (_ (_ tptp.instance_THFTYPE_IiioI tptp.equal_THFTYPE_i) tptp.lBinaryPredicate_THFTYPE_i)) % 150.58/150.99 (assume @p48 (_ @t65 tptp.lBinaryPredicate_THFTYPE_i)) % 150.58/150.99 (assume @p49 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.subclass_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i)) % 150.58/150.99 (assume @p50 (_ @t73 tptp.lUnaryFunction_THFTYPE_i)) % 150.58/150.99 (assume @p51 (_ @t74 tptp.lTemporalRelation_THFTYPE_i)) % 150.58/150.99 (assume @p52 (_ (_ tptp.instance_THFTYPE_IiioI tptp.attribute_THFTYPE_i) tptp.lAsymmetricRelation_THFTYPE_i)) % 150.58/150.99 (assume @p53 (_ @t75 tptp.lUnaryFunction_THFTYPE_i)) % 150.58/150.99 (assume @p54 (_ @t73 tptp.lTemporalRelation_THFTYPE_i)) % 150.58/150.99 (assume @p55 (_ (_ (_ tptp.domain_THFTYPE_IiiioI tptp.patient_THFTYPE_i) tptp.n1_THFTYPE_i) tptp.lProcess_THFTYPE_i)) % 150.58/150.99 (assume @p56 (_ @t68 tptp.lAsymmetricRelation_THFTYPE_i)) % 150.58/150.99 (assume @p57 (_ @t74 tptp.lUnaryFunction_THFTYPE_i)) % 150.58/150.99 (assume @p58 (_ (_ tptp.instance_THFTYPE_IiioI tptp.lMeasureFn_THFTYPE_i) tptp.lTotalValuedRelation_THFTYPE_i)) % 150.58/150.99 (assume @p59 (_ @t73 tptp.lTotalValuedRelation_THFTYPE_i)) % 150.58/150.99 (assume @p60 (_ (_ @t71 tptp.n2_THFTYPE_i) tptp.lTimeInterval_THFTYPE_i)) % 150.58/150.99 (assume @p61 (_ @t76 tptp.lAsymmetricRelation_THFTYPE_i)) % 150.58/150.99 (assume @p62 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.subrelation_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i)) % 150.58/150.99 (assume @p63 (_ (_ (_ tptp.domain_THFTYPE_IIiiIiioI tptp.lEndFn_THFTYPE_IiiI) tptp.n1_THFTYPE_i) tptp.lTimeInterval_THFTYPE_i)) % 150.58/150.99 (assume @p64 (_ @t75 tptp.lTotalValuedRelation_THFTYPE_i)) % 150.58/150.99 (assume @p65 (_ @t72 tptp.lTemporalRelation_THFTYPE_i)) % 150.58/150.99 (assume @p66 (_ (_ (_ tptp.domain_THFTYPE_IIiiIiioI tptp.lBeginFn_THFTYPE_IiiI) tptp.n1_THFTYPE_i) tptp.lTimeInterval_THFTYPE_i)) % 150.58/150.99 (assume @p67 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.instance_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i)) % 150.58/150.99 (assume @p68 (_ @t76 tptp.lBinaryPredicate_THFTYPE_i)) % 150.58/150.99 (assume @p69 (_ @t75 tptp.lTemporalRelation_THFTYPE_i)) % 150.58/150.99 (assume @p70 @t85) % 150.58/150.99 (assume @p71 true) % 150.58/150.99 (step @p72 :rule eq-refl :args (@t90)) % 150.58/150.99 (step @p73 :rule skolem_intro :args (@t91)) % 150.58/150.99 (step @p74 :rule refl :args (@t90)) % 150.58/150.99 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t90 @t91))) % 150.58/150.99 (step @p76 :rule trans :premises (@p75 @p72)) % 150.58/150.99 (step @p77 :rule true_elim :premises (@p76)) % 150.58/150.99 (step @p78 :rule refl :args (@t95)) % 150.58/150.99 (step @p79 :rule cong :premises (@p78 @p77) :args (@t97)) % 150.58/150.99 ; WARNING: add trust step for TRUST % 150.58/150.99 ; trust TRUST PREPROCESS_HO_ELIM % 150.58/150.99 (step @p80 :rule trust :premises () :args ((= @t4 @t97))) % 150.58/150.99 (step @p81 :rule trans :premises (@p80 @p79)) % 150.58/150.99 (step @p82 :rule eq_resolve :premises (@p1 @p81)) % 150.58/150.99 ; trust TRUST PREPROCESS_HO_ELIM % 150.58/150.99 (step @p83 :rule trust :premises () :args ((= @t106 @t99))) % 150.58/150.99 (step @p84 :rule bool-double-not-elim :args (@t106)) % 150.58/150.99 (step @p85 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t2 @t81))) % 150.58/150.99 (step @p86 :rule refl :args (@t100)) % 150.58/150.99 (step @p87 :rule cong :premises (@p86) :args (@t101)) % 150.58/150.99 (step @p88 :rule refl :args (@t102)) % 150.58/150.99 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t103)) % 150.58/150.99 (step @p90 :rule refl :args (@t104)) % 150.58/150.99 (step @p91 :rule cong :premises (@p90 @p89) :args (@t105)) % 150.58/150.99 (step @p92 :rule trans :premises (@p91 @p85)) % 150.58/150.99 (step @p93 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 150.58/150.99 (step @p94 :rule ho_cong :premises (@p93 @p90)) % 150.58/150.99 (step @p95 :rule ho_cong :premises (@p94 @p89)) % 150.58/150.99 (step @p96 :rule cong :premises (@p95 @p92) :args ((= (_ (_ tptp.holdsDuring_THFTYPE_IiooI @t104) @t103) @t105))) % 150.58/150.99 (step @p97 :rule symm :premises (@p96)) % 150.58/150.99 (step @p98 :rule refl :args (@t82)) % 150.58/150.99 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 150.58/150.99 (step @p100 :rule refl :args (@t78)) % 150.58/150.99 (step @p101 :rule cong :premises (@p100 @p86) :args ((= @t78 @t100))) % 150.58/150.99 (step @p102 :rule symm :premises (@p101)) % 150.58/150.99 (step @p103 :rule eq_resolve :premises (@p100 @p102)) % 150.58/150.99 (step @p104 :rule cong :premises (@p103) :args (@t79)) % 150.58/150.99 (step @p105 :rule refl :args (@t80)) % 150.58/150.99 (step @p106 :rule cong :premises (@p105 @p88) :args ((= @t80 @t102))) % 150.58/150.99 (step @p107 :rule symm :premises (@p106)) % 150.58/150.99 (step @p108 :rule eq_resolve :premises (@p105 @p107)) % 150.58/150.99 (step @p109 :rule nary_cong :premises (@p108 @p104) :args (@t81)) % 150.58/150.99 (step @p110 :rule refl :args (@t2)) % 150.58/150.99 (step @p111 :rule cong :premises (@p110 @p90) :args ((= @t2 @t104))) % 150.58/150.99 (step @p112 :rule symm :premises (@p111)) % 150.58/150.99 (step @p113 :rule eq_resolve :premises (@p110 @p112)) % 150.58/150.99 (step @p114 :rule ho_cong :premises (@p93 @p113)) % 150.58/150.99 (step @p115 :rule ho_cong :premises (@p114 @p109)) % 150.58/150.99 (step @p116 :rule trans :premises (@p115 @p99)) % 150.58/150.99 (step @p117 :rule cong :premises (@p116) :args (@t107)) % 150.58/150.99 (step @p118 :rule cong :premises (@p117) :args (@t108)) % 150.58/150.99 (step @p119 :rule cong :premises (@p118) :args (@t109)) % 150.58/150.99 (step @p120 :rule exists-elim :args ((= @t84 @t109))) % 150.58/150.99 (step @p121 :rule trans :premises (@p120 @p119)) % 150.58/150.99 (step @p122 :rule cong :premises (@p121) :args (@t85)) % 150.58/150.99 (step @p123 :rule trans :premises (@p122 @p84)) % 150.58/150.99 (step @p124 :rule trans :premises (@p123 @p83)) % 150.58/150.99 (step @p125 :rule eq_resolve :premises (@p70 @p124)) % 150.58/150.99 (step @p126 :rule eq-refl :args (@t112)) % 150.58/150.99 (step @p127 :rule skolem_intro :args (@t113)) % 150.58/150.99 (step @p128 :rule refl :args (@t112)) % 150.58/150.99 (step @p129 :rule cong :premises (@p128 @p127) :args ((= @t112 @t113))) % 150.58/150.99 (step @p130 :rule trans :premises (@p129 @p126)) % 150.58/150.99 (step @p131 :rule true_elim :premises (@p130)) % 150.58/150.99 (step @p132 :rule cong :premises (@p78 @p131) :args (@t114)) % 150.58/150.99 (step @p133 :rule cong :premises (@p132) :args (@t115)) % 150.58/150.99 (step @p134 :rule refl :args (@t99)) % 150.58/150.99 (step @p135 :rule cong :premises (@p134 @p133) :args ((=> @t99 @t115))) % 150.58/150.99 (assume-push @p439 @t99) % 150.58/150.99 (step @p137 :rule instantiate :premises (@p125) :args ((@list @t86 tptp.lSue_THFTYPE_i tptp.lSue_THFTYPE_i))) % 150.58/150.99 (step-pop @p440 :rule scope :premises (@p137)) % 150.58/150.99 (step @p138 :rule process_scope :premises (@p440) :args (@t115)) % 150.58/150.99 (step @p140 :rule eq_resolve :premises (@p138 @p135)) % 150.58/150.99 (step @p141 :rule implies_elim :premises (@p140)) % 150.58/150.99 (step @p142 :rule chain_m_resolution :premises (@p141 @p125) :args (@t117 @t118 @t119)) % 150.58/150.99 (step @p143 :rule skolem_intro :args (@t121)) % 150.58/150.99 (step @p144 :rule symm :premises (@p143)) % 150.58/150.99 (step @p145 :rule equiv_elim2 :premises (@p144)) % 150.58/150.99 (step @p146 :rule eq-refl :args (@t125)) % 150.58/150.99 (step @p147 :rule skolem_intro :args (@t126)) % 150.58/150.99 (step @p148 :rule refl :args (@t125)) % 150.58/150.99 (step @p149 :rule cong :premises (@p148 @p147) :args ((= @t125 @t126))) % 150.58/150.99 (step @p150 :rule trans :premises (@p149 @p146)) % 150.58/150.99 (step @p151 :rule true_elim :premises (@p150)) % 150.58/150.99 (step @p152 :rule cong :premises (@p78 @p151) :args (@t127)) % 150.58/150.99 (step @p153 :rule cong :premises (@p152) :args (@t128)) % 150.58/150.99 (step @p154 :rule cong :premises (@p134 @p153) :args ((=> @t99 @t128))) % 150.58/150.99 (assume-push @p441 @t99) % 150.58/150.99 (step @p156 :rule instantiate :premises (@p125) :args ((@list @t86 tptp.lMary_THFTYPE_i tptp.lBob_THFTYPE_i))) % 150.58/150.99 (step-pop @p442 :rule scope :premises (@p156)) % 150.58/150.99 (step @p157 :rule process_scope :premises (@p442) :args (@t128)) % 150.58/150.99 (step @p159 :rule eq_resolve :premises (@p157 @p154)) % 150.58/150.99 (step @p160 :rule implies_elim :premises (@p159)) % 150.58/150.99 (step @p161 :rule chain_m_resolution :premises (@p160 @p125) :args (@t130 @t118 @t119)) % 150.58/150.99 (step @p162 :rule bool-double-not-elim :args (@t129)) % 150.58/150.99 (step @p163 :rule refl :args (@t131)) % 150.58/150.99 (step @p164 :rule refl :args (@t133)) % 150.58/150.99 (step @p165 :rule refl :args (@t120)) % 150.58/150.99 (step @p166 :rule nary_cong :premises (@p165 @p164 @p163 @p162) :args ((or @t120 @t133 @t131 (not @t130)))) % 150.58/150.99 (assume-push @p443 @t132) % 150.58/150.99 (assume-push @p444 @t91) % 150.58/150.99 (assume-push @p445 @t126) % 150.58/150.99 (assume-push @p446 @t130) % 150.58/150.99 (step @p171 :rule evaluate :args (@t134)) % 150.58/150.99 (step @p172 :rule true_intro :premises (@p82)) % 150.58/150.99 (step @p173 :rule true_intro :premises (@p444)) % 150.58/150.99 (step @p174 :rule symm :premises (@p173)) % 150.58/150.99 (step @p175 :rule true_intro :premises (@p445)) % 150.58/150.99 (step @p176 :rule trans :premises (@p175 @p174)) % 150.58/150.99 (step @p177 :rule cong :premises (@p78 @p176) :args (@t129)) % 150.58/150.99 (step @p178 :rule false_intro :premises (@p161)) % 150.58/150.99 (step @p179 :rule symm :premises (@p178)) % 150.58/150.99 (step @p180 :rule trans :premises (@p179 @p177 @p172)) % 150.58/150.99 (step @p181 false :rule eq_resolve :premises (@p180 @p171)) % 150.58/150.99 (step-pop @p447 :rule scope :premises (@p181)) % 150.58/150.99 (step-pop @p448 :rule scope :premises (@p447)) % 150.58/150.99 (step-pop @p449 :rule scope :premises (@p448)) % 150.58/150.99 (step-pop @p450 :rule scope :premises (@p449)) % 150.58/150.99 (step @p182 :rule process_scope :premises (@p450) :args (false)) % 150.58/150.99 (assume-push @p451 @t91) % 150.58/150.99 (assume-push @p452 @t132) % 150.58/150.99 (assume-push @p453 @t126) % 150.58/150.99 (assume-push @p454 @t130) % 150.58/150.99 (step @p191 :rule and_intro :premises (@p82 @p451 @p453 @p161)) % 150.58/150.99 (step-pop @p455 :rule scope :premises (@p191)) % 150.58/150.99 (step-pop @p456 :rule scope :premises (@p455)) % 150.58/150.99 (step-pop @p457 :rule scope :premises (@p456)) % 150.58/150.99 (step-pop @p458 :rule scope :premises (@p457)) % 150.58/150.99 (step @p192 :rule process_scope :premises (@p458) :args (@t135)) % 150.58/150.99 (step @p197 :rule implies_elim :premises (@p192)) % 150.58/150.99 (step @p198 :rule resolution :premises (@p197 @p182) :args (true @t135)) % 150.58/150.99 (step @p199 :rule not_and :premises (@p198)) % 150.58/150.99 (step @p200 :rule eq_resolve :premises (@p199 @p166)) % 150.58/150.99 (step @p201 :rule reordering :premises (@p200) :args ((or @t133 @t120 @t129 @t131))) % 150.58/150.99 (step @p202 :rule equiv_elim1 :premises (@p151)) % 150.58/150.99 (step @p203 :rule reordering :premises (@p202) :args ((or @t126 (not @t125)))) % 150.58/150.99 (step @p204 :rule eq-refl :args (@t124)) % 150.58/150.99 (step @p205 :rule skolem_intro :args (@t136)) % 150.58/150.99 (step @p206 :rule refl :args (@t124)) % 150.58/150.99 (step @p207 :rule cong :premises (@p206 @p205) :args ((= @t124 @t136))) % 150.58/150.99 (step @p208 :rule trans :premises (@p207 @p204)) % 150.58/150.99 (step @p209 :rule true_elim :premises (@p208)) % 150.58/150.99 (step @p210 :rule cong :premises (@p78 @p209) :args (@t137)) % 150.58/150.99 ; trust TRUST PREPROCESS_HO_ELIM % 150.58/150.99 (step @p211 :rule trust :premises () :args ((= @t45 @t137))) % 150.58/150.99 (step @p212 :rule trans :premises (@p211 @p210)) % 150.58/150.99 (step @p213 :rule eq_resolve :premises (@p17 @p212)) % 150.58/150.99 ; trust TRUST PREPROCESS_HO_ELIM % 150.58/150.99 (step @p214 :rule trust :premises () :args ((= (forall @t57 (or (not @t141) (not @t140))) @t139))) % 150.58/150.99 (step @p215 :rule refl :args (@t140)) % 150.58/150.99 (step @p216 :rule refl :args (@t53)) % 150.58/150.99 (step @p217 :rule cong :premises (@p216 @p215) :args ((= @t53 @t140))) % 150.58/150.99 (step @p218 :rule symm :premises (@p217)) % 150.58/150.99 (step @p219 :rule eq_resolve :premises (@p216 @p218)) % 150.58/150.99 (step @p220 :rule cong :premises (@p219) :args (@t54)) % 150.58/150.99 (step @p221 :rule refl :args (@t141)) % 150.58/150.99 (step @p222 :rule refl :args (@t56)) % 150.58/150.99 (step @p223 :rule cong :premises (@p222 @p221) :args ((= @t56 @t141))) % 150.58/150.99 (step @p224 :rule symm :premises (@p223)) % 150.58/150.99 (step @p225 :rule eq_resolve :premises (@p222 @p224)) % 150.58/150.99 (step @p226 :rule cong :premises (@p225) :args (@t142)) % 150.58/150.99 (step @p227 :rule nary_cong :premises (@p226 @p220) :args (@t143)) % 150.58/150.99 (step @p228 :rule cong :premises (@p227) :args ((forall @t57 @t143))) % 150.58/150.99 (step @p229 :rule bool-impl-elim :args (@t56 @t54)) % 150.58/150.99 (step @p230 :rule cong :premises (@p229) :args (@t58)) % 150.58/150.99 (step @p231 :rule trans :premises (@p230 @p228)) % 150.58/150.99 (step @p232 :rule trans :premises (@p231 @p214)) % 150.58/150.99 (step @p233 :rule eq_resolve :premises (@p23 @p232)) % 150.58/150.99 (step @p234 :rule cong :premises (@p78 @p144) :args (@t144)) % 150.58/150.99 (step @p235 :rule cong :premises (@p234) :args (@t145)) % 150.58/150.99 (step @p236 :rule nary_cong :premises (@p235 @p164) :args (@t146)) % 150.58/150.99 (step @p237 :rule refl :args (@t139)) % 150.58/150.99 (step @p238 :rule cong :premises (@p237 @p236) :args ((=> @t139 @t146))) % 150.58/150.99 (assume-push @p459 @t139) % 150.58/150.99 (step @p240 :rule instantiate :premises (@p233) :args ((@list @t92 @t91))) % 150.58/150.99 (step-pop @p460 :rule scope :premises (@p240)) % 150.58/150.99 (step @p241 :rule process_scope :premises (@p460) :args (@t146)) % 150.58/150.99 (step @p243 :rule eq_resolve :premises (@p241 @p238)) % 150.58/150.99 (step @p244 :rule implies_elim :premises (@p243)) % 150.58/150.99 (step @p245 :rule chain_m_resolution :premises (@p244 @p233) :args (@t149 @t118 (@list @t139))) % 150.58/150.99 (step @p246 :rule cnf_or_pos :args (@t149)) % 150.58/150.99 (step @p247 :rule reordering :premises (@p246) :args ((or @t133 @t148 (not @t149)))) % 150.58/150.99 (step @p248 :rule chain_m_resolution :premises (@p247 @p82 @p245) :args (@t148 (@list false false) (@list @t132 @t149))) % 150.58/150.99 (step @p249 :rule bool-double-not-elim :args (@t121)) % 150.58/150.99 (step @p250 :rule bool-double-not-elim :args (@t147)) % 150.58/150.99 (step @p251 :rule bool-double-not-elim :args (@t136)) % 150.58/150.99 (step @p252 :rule refl :args (@t151)) % 150.58/150.99 (step @p253 :rule nary_cong :premises (@p252 @p251 @p250 @p249) :args ((or @t151 (not @t155) @t154 @t153))) % 150.58/150.99 (assume-push @p461 @t148) % 150.58/150.99 (assume-push @p462 @t152) % 150.58/150.99 (assume-push @p463 @t155) % 150.58/150.99 (assume-push @p464 @t150) % 150.58/150.99 (step @p258 :rule evaluate :args (@t156)) % 150.58/150.99 (step @p259 :rule false_intro :premises (@p248)) % 150.58/150.99 (step @p260 :rule false_intro :premises (@p462)) % 150.58/150.99 (step @p261 :rule symm :premises (@p260)) % 150.58/150.99 (step @p262 :rule false_intro :premises (@p463)) % 150.58/150.99 (step @p263 :rule trans :premises (@p262 @p261)) % 150.58/150.99 (step @p264 :rule cong :premises (@p78 @p263) :args (@t150)) % 150.58/150.99 (step @p265 :rule true_intro :premises (@p213)) % 150.58/150.99 (step @p266 :rule symm :premises (@p265)) % 150.58/150.99 (step @p267 :rule trans :premises (@p266 @p264 @p259)) % 150.58/150.99 (step @p268 false :rule eq_resolve :premises (@p267 @p258)) % 150.58/150.99 (step-pop @p465 :rule scope :premises (@p268)) % 150.58/150.99 (step-pop @p466 :rule scope :premises (@p465)) % 150.58/150.99 (step-pop @p467 :rule scope :premises (@p466)) % 150.58/150.99 (step-pop @p468 :rule scope :premises (@p467)) % 150.58/150.99 (step @p269 :rule process_scope :premises (@p468) :args (false)) % 150.58/150.99 (assume-push @p469 @t150) % 150.58/150.99 (assume-push @p470 @t155) % 150.58/150.99 (assume-push @p471 @t148) % 150.58/150.99 (assume-push @p472 @t152) % 150.58/150.99 (step @p278 :rule and_intro :premises (@p248 @p472 @p470 @p213)) % 150.58/150.99 (step-pop @p473 :rule scope :premises (@p278)) % 150.58/150.99 (step-pop @p474 :rule scope :premises (@p473)) % 150.58/150.99 (step-pop @p475 :rule scope :premises (@p474)) % 150.58/150.99 (step-pop @p476 :rule scope :premises (@p475)) % 150.58/150.99 (step @p279 :rule process_scope :premises (@p476) :args (@t157)) % 150.58/150.99 (step @p284 :rule implies_elim :premises (@p279)) % 150.58/150.99 (step @p285 :rule resolution :premises (@p284 @p269) :args (true @t157)) % 150.58/150.99 (step @p286 :rule not_and :premises (@p285)) % 150.58/150.99 (step @p287 :rule eq_resolve :premises (@p286 @p253)) % 150.58/150.99 (step @p288 :rule reordering :premises (@p287) :args ((or @t136 @t151 @t121 @t147))) % 150.58/150.99 (step @p289 :rule equiv_elim2 :premises (@p209)) % 150.58/150.99 (step @p290 :rule bool-double-not-elim :args (@t122)) % 150.58/150.99 (step @p291 :rule refl :args (@t158)) % 150.58/150.99 (step @p292 :rule nary_cong :premises (@p148 @p291 @p290) :args ((or @t125 @t158 (not @t123)))) % 150.58/150.99 (step @p293 :rule cnf_and_neg :args (@t125)) % 150.58/150.99 (step @p294 :rule eq_resolve :premises (@p293 @p292)) % 150.58/150.99 (step @p295 :rule reordering :premises (@p294) :args ((or @t122 @t158 @t125))) % 150.58/150.99 (step @p296 :rule skolem_intro :args (@t159)) % 150.58/150.99 (step @p297 :rule symm :premises (@p296)) % 150.58/150.99 (step @p298 :rule equiv_elim2 :premises (@p297)) % 150.58/150.99 (step @p299 :rule cong :premises (@p78 @p297) :args (@t160)) % 150.58/150.99 ; trust TRUST PREPROCESS_HO_ELIM % 150.58/150.99 (step @p300 :rule trust :premises () :args ((= @t42 @t160))) % 150.58/150.99 (step @p301 :rule trans :premises (@p300 @p299)) % 150.58/150.99 (step @p302 :rule eq_resolve :premises (@p15 @p301)) % 150.58/150.99 (step @p303 :rule bool-double-not-elim :args (@t159)) % 150.58/150.99 (step @p304 :rule refl :args (@t162)) % 150.58/150.99 (step @p305 :rule nary_cong :premises (@p304 @p303 @p250 @p249) :args ((or @t162 (not @t163) @t154 @t153))) % 150.58/150.99 (assume-push @p477 @t148) % 150.58/150.99 (assume-push @p478 @t152) % 150.58/150.99 (assume-push @p479 @t163) % 150.58/150.99 (assume-push @p480 @t161) % 150.58/150.99 (step @p258 :rule evaluate :args (@t156)) % 150.58/150.99 (step @p259 :rule false_intro :premises (@p248)) % 150.58/150.99 (step @p310 :rule false_intro :premises (@p478)) % 150.58/150.99 (step @p311 :rule symm :premises (@p310)) % 150.58/150.99 (step @p312 :rule false_intro :premises (@p479)) % 150.58/150.99 (step @p313 :rule trans :premises (@p312 @p311)) % 150.58/150.99 (step @p314 :rule cong :premises (@p78 @p313) :args (@t161)) % 150.58/150.99 (step @p315 :rule true_intro :premises (@p302)) % 150.58/150.99 (step @p316 :rule symm :premises (@p315)) % 150.58/150.99 (step @p317 :rule trans :premises (@p316 @p314 @p259)) % 150.58/150.99 (step @p318 false :rule eq_resolve :premises (@p317 @p258)) % 150.58/150.99 (step-pop @p481 :rule scope :premises (@p318)) % 150.58/150.99 (step-pop @p482 :rule scope :premises (@p481)) % 150.58/150.99 (step-pop @p483 :rule scope :premises (@p482)) % 150.58/150.99 (step-pop @p484 :rule scope :premises (@p483)) % 150.58/150.99 (step @p319 :rule process_scope :premises (@p484) :args (false)) % 150.58/150.99 (assume-push @p485 @t161) % 150.58/150.99 (assume-push @p486 @t163) % 150.58/150.99 (assume-push @p487 @t148) % 150.58/150.99 (assume-push @p488 @t152) % 150.58/150.99 (step @p328 :rule and_intro :premises (@p248 @p488 @p486 @p302)) % 150.58/150.99 (step-pop @p489 :rule scope :premises (@p328)) % 150.58/150.99 (step-pop @p490 :rule scope :premises (@p489)) % 150.58/150.99 (step-pop @p491 :rule scope :premises (@p490)) % 150.58/150.99 (step-pop @p492 :rule scope :premises (@p491)) % 150.58/150.99 (step @p329 :rule process_scope :premises (@p492) :args (@t164)) % 150.58/150.99 (step @p334 :rule implies_elim :premises (@p329)) % 150.58/150.99 (step @p335 :rule resolution :premises (@p334 @p319) :args (true @t164)) % 150.58/150.99 (step @p336 :rule not_and :premises (@p335)) % 150.58/150.99 (step @p337 :rule eq_resolve :premises (@p336 @p305)) % 150.58/150.99 (step @p338 :rule reordering :premises (@p337) :args ((or @t159 @t162 @t121 @t147))) % 150.58/150.99 (step @p339 :rule chain_m_resolution :premises (@p338 @p248 @p302 @p298 @p295 @p289 @p288 @p248 @p213 @p203 @p201 @p161 @p82 @p145) :args (@t120 (@list true false true false false false true false true true true false true) (@list @t147 @t161 @t159 @t122 @t124 @t136 @t147 @t150 @t125 @t126 @t129 @t132 @t121))) % 150.58/150.99 (step @p340 :rule refl :args (@t121)) % 150.58/150.99 (step @p341 :rule bool-double-not-elim :args (@t91)) % 150.58/150.99 (step @p342 :rule nary_cong :premises (@p341 @p340) :args ((or @t165 @t121))) % 150.58/150.99 (step @p343 :rule equiv_elim1 :premises (@p144)) % 150.58/150.99 (step @p344 :rule eq_resolve :premises (@p343 @p342)) % 150.58/150.99 (step @p345 :rule chain_m_resolution :premises (@p344 @p339) :args (@t121 @t166 (@list @t91))) % 150.58/150.99 (step @p346 :rule eq-refl :args (@t110)) % 150.58/150.99 (step @p347 :rule skolem_intro :args (@t167)) % 150.58/150.99 (step @p348 :rule refl :args (@t110)) % 150.58/150.99 (step @p349 :rule cong :premises (@p348 @p347) :args ((= @t110 @t167))) % 150.58/150.99 (step @p350 :rule trans :premises (@p349 @p346)) % 150.58/150.99 (step @p351 :rule true_elim :premises (@p350)) % 150.58/150.99 (step @p352 :rule cong :premises (@p78 @p351) :args (@t168)) % 150.58/150.99 ; trust TRUST PREPROCESS_HO_ELIM % 150.58/150.99 (step @p353 :rule trust :premises () :args ((= @t18 @t168))) % 150.58/150.99 (step @p354 :rule trans :premises (@p353 @p352)) % 150.58/150.99 (step @p355 :rule eq_resolve :premises (@p7 @p354)) % 150.58/150.99 (step @p356 :rule refl :args (@t152)) % 150.58/150.99 (step @p357 :rule refl :args (@t170)) % 150.58/150.99 (step @p358 :rule refl :args (@t171)) % 150.58/150.99 (step @p359 :rule nary_cong :premises (@p358 @p357 @p356 @p250) :args ((or @t171 @t170 @t152 @t154))) % 150.58/150.99 (assume-push @p493 @t148) % 150.58/150.99 (assume-push @p494 @t121) % 150.58/150.99 (assume-push @p495 @t167) % 150.58/150.99 (assume-push @p496 @t169) % 150.58/150.99 (step @p258 :rule evaluate :args (@t156)) % 150.58/150.99 (step @p259 :rule false_intro :premises (@p248)) % 150.58/150.99 (step @p364 :rule true_intro :premises (@p494)) % 150.58/150.99 (step @p365 :rule symm :premises (@p364)) % 150.58/150.99 (step @p366 :rule true_intro :premises (@p495)) % 150.58/150.99 (step @p367 :rule trans :premises (@p366 @p365)) % 150.58/150.99 (step @p368 :rule cong :premises (@p78 @p367) :args (@t169)) % 150.58/150.99 (step @p369 :rule true_intro :premises (@p355)) % 150.58/150.99 (step @p370 :rule symm :premises (@p369)) % 150.58/150.99 (step @p371 :rule trans :premises (@p370 @p368 @p259)) % 150.58/150.99 (step @p372 false :rule eq_resolve :premises (@p371 @p258)) % 150.58/150.99 (step-pop @p497 :rule scope :premises (@p372)) % 150.58/150.99 (step-pop @p498 :rule scope :premises (@p497)) % 150.58/150.99 (step-pop @p499 :rule scope :premises (@p498)) % 150.58/150.99 (step-pop @p500 :rule scope :premises (@p499)) % 150.58/150.99 (step @p373 :rule process_scope :premises (@p500) :args (false)) % 150.58/150.99 (assume-push @p501 @t167) % 150.58/150.99 (assume-push @p502 @t169) % 150.58/150.99 (assume-push @p503 @t121) % 150.58/150.99 (assume-push @p504 @t148) % 150.58/150.99 (step @p382 :rule and_intro :premises (@p248 @p503 @p501 @p355)) % 150.58/150.99 (step-pop @p505 :rule scope :premises (@p382)) % 150.58/150.99 (step-pop @p506 :rule scope :premises (@p505)) % 150.58/150.99 (step-pop @p507 :rule scope :premises (@p506)) % 150.58/150.99 (step-pop @p508 :rule scope :premises (@p507)) % 150.58/150.99 (step @p383 :rule process_scope :premises (@p508) :args (@t172)) % 150.58/150.99 (step @p388 :rule implies_elim :premises (@p383)) % 150.58/150.99 (step @p389 :rule resolution :premises (@p388 @p373) :args (true @t172)) % 150.58/150.99 (step @p390 :rule not_and :premises (@p389)) % 150.58/150.99 (step @p391 :rule eq_resolve :premises (@p390 @p359)) % 150.58/150.99 (step @p392 :rule reordering :premises (@p391) :args ((or @t170 @t171 @t147 @t152))) % 150.58/150.99 (step @p393 :rule chain_m_resolution :premises (@p392 @p355 @p248 @p345) :args (@t171 (@list false true false) (@list @t169 @t147 @t121))) % 150.58/150.99 (step @p394 :rule equiv_elim1 :premises (@p351)) % 150.58/150.99 (step @p395 :rule reordering :premises (@p394) :args ((or @t167 @t111))) % 150.58/150.99 (step @p396 :rule chain_m_resolution :premises (@p395 @p393) :args (@t111 @t166 (@list @t167))) % 150.58/150.99 (step @p397 :rule cnf_and_pos :args (@t112 0)) % 150.58/150.99 (step @p398 :rule reordering :premises (@p397) :args ((or @t110 @t173))) % 150.58/150.99 (step @p399 :rule chain_m_resolution :premises (@p398 @p396) :args (@t173 @t166 (@list @t110))) % 150.58/150.99 (step @p400 :rule equiv_elim2 :premises (@p131)) % 150.58/150.99 (step @p401 :rule chain_m_resolution :premises (@p400 @p399) :args (@t174 @t166 (@list @t112))) % 150.58/150.99 (step @p402 :rule bool-double-not-elim :args (@t113)) % 150.58/150.99 (step @p403 :rule bool-double-not-elim :args (@t116)) % 150.58/150.99 (step @p404 :rule nary_cong :premises (@p164 @p341 @p403 @p402) :args ((or @t133 @t165 (not @t117) (not @t174)))) % 150.58/150.99 (assume-push @p509 @t132) % 150.58/150.99 (assume-push @p510 @t120) % 150.58/150.99 (assume-push @p511 @t174) % 150.58/150.99 (assume-push @p512 @t117) % 150.58/150.99 (step @p171 :rule evaluate :args (@t134)) % 150.58/150.99 (step @p172 :rule true_intro :premises (@p82)) % 150.58/150.99 (step @p409 :rule false_intro :premises (@p510)) % 150.58/150.99 (step @p410 :rule symm :premises (@p409)) % 150.58/150.99 (step @p411 :rule false_intro :premises (@p511)) % 150.58/150.99 (step @p412 :rule trans :premises (@p411 @p410)) % 150.58/150.99 (step @p413 :rule cong :premises (@p78 @p412) :args (@t116)) % 150.58/150.99 (step @p414 :rule false_intro :premises (@p142)) % 150.58/150.99 (step @p415 :rule symm :premises (@p414)) % 150.58/150.99 (step @p416 :rule trans :premises (@p415 @p413 @p172)) % 150.58/150.99 (step @p417 false :rule eq_resolve :premises (@p416 @p171)) % 150.58/150.99 (step-pop @p513 :rule scope :premises (@p417)) % 150.58/150.99 (step-pop @p514 :rule scope :premises (@p513)) % 150.58/150.99 (step-pop @p515 :rule scope :premises (@p514)) % 150.58/150.99 (step-pop @p516 :rule scope :premises (@p515)) % 150.58/150.99 (step @p418 :rule process_scope :premises (@p516) :args (false)) % 150.58/150.99 (assume-push @p517 @t132) % 150.58/150.99 (assume-push @p518 @t120) % 150.58/150.99 (assume-push @p519 @t117) % 150.58/150.99 (assume-push @p520 @t174) % 150.58/150.99 (step @p427 :rule and_intro :premises (@p82 @p518 @p520 @p142)) % 150.58/150.99 (step-pop @p521 :rule scope :premises (@p427)) % 150.58/150.99 (step-pop @p522 :rule scope :premises (@p521)) % 150.58/150.99 (step-pop @p523 :rule scope :premises (@p522)) % 150.58/150.99 (step-pop @p524 :rule scope :premises (@p523)) % 150.58/150.99 (step @p428 :rule process_scope :premises (@p524) :args (@t175)) % 150.58/150.99 (step @p433 :rule implies_elim :premises (@p428)) % 150.58/150.99 (step @p434 :rule resolution :premises (@p433 @p418) :args (true @t175)) % 150.58/150.99 (step @p435 :rule not_and :premises (@p434)) % 150.58/150.99 (step @p436 :rule eq_resolve :premises (@p435 @p404)) % 150.58/150.99 (step @p437 :rule reordering :premises (@p436) :args ((or @t91 @t133 @t113 @t116))) % 150.58/150.99 (step @p438 false :rule chain_m_resolution :premises (@p437 @p401 @p339 @p142 @p82) :args (false (@list true true true false) (@list @t113 @t91 @t116 @t132))) % 150.58/150.99 ) % 150.58/150.99 % SZS output end Proof % 150.58/150.99 % cvc5 exiting %------------------------------------------------------------------------------