%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR139^2 : 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 : n019.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 168.24s 168.59s % Output : Proof 168.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR139^2 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Mon Jun 1 21:58:04 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 168.24/168.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 168.24/168.59 --- 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... % 168.24/168.59 --- 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... % 168.24/168.59 --- Run --ho-elim --full-saturate-quant at 18s... % 168.24/168.59 % SZS status Theorem % 168.24/168.59 % SZS output start Proof % 168.24/168.59 ( % 168.24/168.59 (declare-sort $$unsorted 0) % 168.24/168.59 (declare-const tptp.attribute_THFTYPE_i $$unsorted) % 168.24/168.59 (declare-const tptp.equal_THFTYPE_i $$unsorted) % 168.24/168.59 (declare-const tptp.n2_THFTYPE_i $$unsorted) % 168.24/168.59 (declare-const tptp.instance_THFTYPE_IIiooIioI (-> (-> $$unsorted Bool Bool) $$unsorted Bool)) % 168.24/168.59 (declare-const tptp.n1_THFTYPE_i $$unsorted) % 168.24/168.59 (declare-const tptp.lBinaryPredicate_THFTYPE_i $$unsorted) % 168.24/168.59 (declare-const tptp.instance_THFTYPE_IIiioIioI (-> (-> $$unsorted $$unsorted Bool) $$unsorted Bool)) % 168.24/168.59 (declare-const tptp.lAsymmetricRelation_THFTYPE_i $$unsorted) % 168.24/168.59 (declare-const tptp.domain_THFTYPE_IiiioI (-> $$unsorted $$unsorted $$unsorted Bool)) % 168.24/168.59 (declare-const tptp.domain_THFTYPE_IIiioIiioI (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 168.24/168.59 (declare-const tptp.subrelation_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 168.24/168.59 (declare-const tptp.range_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 168.24/168.59 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 168.24/168.59 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 168.24/168.59 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 168.24/168.59 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 168.24/168.59 (declare-const tptp.lAnna_THFTYPE_i $$unsorted) % 168.24/168.59 (declare-const tptp.parent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 168.24/168.59 (declare-const tptp.instance_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 168.24/168.59 (declare-const tptp.subclass_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 168.24/168.59 (declare-const tptp.lBen_THFTYPE_i $$unsorted) % 168.24/168.59 (declare-const tptp.lBob_THFTYPE_i $$unsorted) % 168.24/168.59 (declare-const tptp.subrelation_THFTYPE_IIioIIioIoI (-> (-> $$unsorted Bool) (-> $$unsorted Bool) Bool)) % 168.24/168.59 (declare-const tptp.lOrganism_THFTYPE_i $$unsorted) % 168.24/168.59 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 168.24/168.59 (define @t1 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 168.24/168.59 (define @t2 () (_ @t1 tptp.lBill_THFTYPE_i)) % 168.24/168.59 (define @t3 () (not (_ @t1 tptp.lMary_THFTYPE_i))) % 168.24/168.59 (define @t4 () (_ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 168.24/168.59 (define @t5 () (_ @t4 tptp.lAnna_THFTYPE_i)) % 168.24/168.59 (define @t6 () (@var "Y" $$unsorted)) % 168.24/168.59 (define @t7 () (@var "Z" $$unsorted)) % 168.24/168.59 (define @t8 () (_ tptp.instance_THFTYPE_IiioI @t7)) % 168.24/168.59 (define @t9 () (@var "X" $$unsorted)) % 168.24/168.59 (define @t10 () (@var "CLASS2" $$unsorted)) % 168.24/168.59 (define @t11 () (@var "THING" $$unsorted)) % 168.24/168.59 (define @t12 () (_ tptp.instance_THFTYPE_IiioI @t11)) % 168.24/168.59 (define @t13 () (@var "CLASS1" $$unsorted)) % 168.24/168.59 (define @t14 () (_ tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i)) % 168.24/168.59 (define @t15 () (_ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 168.24/168.59 (define @t16 () (_ @t15 tptp.lAnna_THFTYPE_i)) % 168.24/168.59 (define @t17 () (@var "ROW" $$unsorted)) % 168.24/168.59 (define @t18 () (@var "REL2" (-> $$unsorted Bool))) % 168.24/168.59 (define @t19 () (@var "REL1" (-> $$unsorted Bool))) % 168.24/168.59 (define @t20 () (@var "PARENT" $$unsorted)) % 168.24/168.59 (define @t21 () (@var "ORGANISM" $$unsorted)) % 168.24/168.59 (define @t22 () (@var "SITUATION" Bool)) % 168.24/168.59 (define @t23 () (@var "TIME" $$unsorted)) % 168.24/168.59 (define @t24 () (_ tptp.holdsDuring_THFTYPE_IiooI @t23)) % 168.24/168.59 (define @t25 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 168.24/168.59 (define @t26 () (@var "CLASS" $$unsorted)) % 168.24/168.59 (define @t27 () (@var "THING2" $$unsorted)) % 168.24/168.59 (define @t28 () (@var "THING1" $$unsorted)) % 168.24/168.59 (define @t29 () (or (_ (_ tptp.subclass_THFTYPE_IiioI @t13) @t10) (_ (_ tptp.subclass_THFTYPE_IiioI @t10) @t13))) % 168.24/168.59 (define @t30 () (@var "REL" $$unsorted)) % 168.24/168.59 (define @t31 () (_ tptp.range_THFTYPE_IiioI @t30)) % 168.24/168.59 (define @t32 () (@var "CHILD" $$unsorted)) % 168.24/168.59 (define @t33 () (@var "REL1" $$unsorted)) % 168.24/168.59 (define @t34 () (@var "REL2" $$unsorted)) % 168.24/168.59 (define @t35 () (not (_ @t14 tptp.lAnna_THFTYPE_i))) % 168.24/168.59 (define @t36 () (@var "NUMBER" $$unsorted)) % 168.24/168.59 (define @t37 () (_ (_ tptp.domain_THFTYPE_IiiioI @t30) @t36)) % 168.24/168.59 (define @t38 () (@var "PRED1" $$unsorted)) % 168.24/168.59 (define @t39 () (@var "PRED2" $$unsorted)) % 168.24/168.59 (define @t40 () (_ tptp.instance_THFTYPE_IIiioIioI tptp.parent_THFTYPE_IiioI)) % 168.24/168.59 (define @t41 () (_ tptp.instance_THFTYPE_IIiioIioI tptp.range_THFTYPE_IiioI)) % 168.24/168.59 (define @t42 () (_ tptp.domain_THFTYPE_IIiioIiioI tptp.parent_THFTYPE_IiioI)) % 168.24/168.59 (define @t43 () (_ tptp.instance_THFTYPE_IIiooIioI tptp.holdsDuring_THFTYPE_IiooI)) % 168.24/168.59 (define @t44 () (@var "Q" (-> $$unsorted $$unsorted Bool))) % 168.24/168.59 (define @t45 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 168.24/168.59 (define @t46 () (not (= @t45 @t44))) % 168.24/168.59 (define @t47 () (_ (_ @t44 @t6) tptp.lAnna_THFTYPE_i)) % 168.24/168.59 (define @t48 () (_ (_ @t45 @t6) tptp.lBill_THFTYPE_i)) % 168.24/168.59 (define @t49 () (and @t48 @t47 @t46)) % 168.24/168.59 (define @t50 () (@list @t44 @t45 @t6)) % 168.24/168.59 (define @t51 () (exists @t50 @t49)) % 168.24/168.59 (define @t52 () (not @t51)) % 168.24/168.59 (define @t53 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 168.24/168.59 (define @t54 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 168.24/168.59 (define @t55 () (_ @t54 @t53 tptp.lSue_THFTYPE_i)) % 168.24/168.59 (define @t56 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 168.24/168.59 (define @t57 () (_ @t56 @t55 tptp.lBill_THFTYPE_i)) % 168.24/168.59 (define @t58 () (_ @t56 @t55 tptp.lMary_THFTYPE_i)) % 168.24/168.59 (define @t59 () (not @t58)) % 168.24/168.59 (define @t60 () (@var "BOUND_VARIABLE_8076" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 168.24/168.59 (define @t61 () (@var "BOUND_VARIABLE_8075" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 168.24/168.59 (define @t62 () (not (_ @t56 (_ @t54 @t60 @t6) tptp.lAnna_THFTYPE_i))) % 168.24/168.59 (define @t63 () (not (_ @t56 (_ @t54 @t61 @t6) tptp.lBill_THFTYPE_i))) % 168.24/168.59 (define @t64 () (or @t63 @t62 (= @t60 @t61))) % 168.24/168.59 (define @t65 () (@list @t60 @t61 @t6)) % 168.24/168.59 (define @t66 () (forall @t65 @t64)) % 168.24/168.59 (define @t67 () (= @t44 @t45)) % 168.24/168.59 (define @t68 () (_ @t44 @t6 tptp.lAnna_THFTYPE_i)) % 168.24/168.59 (define @t69 () (_ @t45 @t6 tptp.lBill_THFTYPE_i)) % 168.24/168.59 (define @t70 () (forall @t50 (or (not @t69) (not @t68) @t67))) % 168.24/168.59 (define @t71 () (not @t47)) % 168.24/168.59 (define @t72 () (not @t48)) % 168.24/168.59 (define @t73 () (or @t72 @t71 @t67)) % 168.24/168.59 (define @t74 () (not @t67)) % 168.24/168.59 (define @t75 () (not @t74)) % 168.24/168.59 (define @t76 () (or @t72 @t71 @t75)) % 168.24/168.59 (define @t77 () (and @t48 @t47 @t74)) % 168.24/168.59 (define @t78 () (forall @t50 (not @t77))) % 168.24/168.59 (define @t79 () (not @t78)) % 168.24/168.59 (define @t80 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 168.24/168.59 (define @t81 () (@var "ii" $$unsorted)) % 168.24/168.59 (define @t82 () (_ @t54 @t53 @t81)) % 168.24/168.59 (define @t83 () (_ @t54 @t80 tptp.lBob_THFTYPE_i)) % 168.24/168.59 (define @t84 () (= tptp.lBill_THFTYPE_i @t81)) % 168.24/168.59 (define @t85 () (ite @t84 @t83 @t82)) % 168.24/168.59 (define @t86 () (@var "v" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 168.24/168.59 (define @t87 () (_ @t54 @t86 @t81)) % 168.24/168.59 (define @t88 () (@list @t81)) % 168.24/168.59 (define @t89 () (@list @t86)) % 168.24/168.59 (define @t90 () (forall @t89 (not (forall @t88 (= @t87 @t85))))) % 168.24/168.59 (define @t91 () (@quantifiers_skolemize @t90 0)) % 168.24/168.59 (define @t92 () (@var "u" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 168.24/168.59 (define @t93 () (@var "e" (@ho-elim-sort (-> $$unsorted Bool)))) % 168.24/168.59 (define @t94 () (@var "i" $$unsorted)) % 168.24/168.59 (define @t95 () (_ @t54 @t91 @t81)) % 168.24/168.59 (define @t96 () (forall @t88 (= @t85 @t95))) % 168.24/168.59 (define @t97 () (not @t90)) % 168.24/168.59 (define @t98 () (forall @t88 (= @t95 @t85))) % 168.24/168.59 (define @t99 () (not (not @t98))) % 168.24/168.59 (define @t100 () (@list true)) % 168.24/168.59 (define @t101 () (_ @t54 @t91 tptp.lBill_THFTYPE_i)) % 168.24/168.59 (define @t102 () (_ @t54 @t53 tptp.lBill_THFTYPE_i)) % 168.24/168.59 (define @t103 () (= tptp.lBill_THFTYPE_i tptp.lBill_THFTYPE_i)) % 168.24/168.59 (define @t104 () (ite @t103 @t83 @t102)) % 168.24/168.59 (define @t105 () (= @t104 @t101)) % 168.24/168.59 (define @t106 () (@list tptp.lBill_THFTYPE_i)) % 168.24/168.59 (define @t107 () (= @t83 @t101)) % 168.24/168.59 (define @t108 () (@list false)) % 168.24/168.59 (define @t109 () (@list @t96)) % 168.24/168.59 (define @t110 () (ite @t84 @t55 @t82)) % 168.24/168.59 (define @t111 () (forall @t89 (not (forall @t88 (= @t87 @t110))))) % 168.24/168.59 (define @t112 () (@quantifiers_skolemize @t111 0)) % 168.24/168.59 (define @t113 () (_ @t54 @t112 @t81)) % 168.24/168.59 (define @t114 () (forall @t88 (= @t110 @t113))) % 168.24/168.59 (define @t115 () (not @t111)) % 168.24/168.59 (define @t116 () (forall @t88 (= @t113 @t110))) % 168.24/168.59 (define @t117 () (not (not @t116))) % 168.24/168.59 (define @t118 () (_ @t54 @t112 tptp.lBill_THFTYPE_i)) % 168.24/168.59 (define @t119 () (ite @t103 @t55 @t102)) % 168.24/168.59 (define @t120 () (= @t119 @t118)) % 168.24/168.59 (define @t121 () (= @t55 @t118)) % 168.24/168.59 (define @t122 () (@list @t114)) % 168.24/168.59 (define @t123 () (_ @t56 @t55 tptp.lAnna_THFTYPE_i)) % 168.24/168.59 (define @t124 () (not @t123)) % 168.24/168.59 (define @t125 () (_ @t54 @t112 tptp.lSue_THFTYPE_i)) % 168.24/168.59 (define @t126 () (_ @t56 @t125 tptp.lBill_THFTYPE_i)) % 168.24/168.59 (define @t127 () (not @t126)) % 168.24/168.59 (define @t128 () (or @t127 @t124 (= @t112 @t53))) % 168.24/168.59 (define @t129 () (forall @t65 (or @t63 @t62 (= @t61 @t60)))) % 168.24/168.59 (define @t130 () (= @t53 @t112)) % 168.24/168.59 (define @t131 () (or @t127 @t124 @t130)) % 168.24/168.59 (define @t132 () (= tptp.lBill_THFTYPE_i tptp.lSue_THFTYPE_i)) % 168.24/168.59 (define @t133 () (= (ite @t132 @t55 @t55) @t125)) % 168.24/168.59 (define @t134 () (_ @t56 (_ @t54 @t80 tptp.lSue_THFTYPE_i) tptp.lAnna_THFTYPE_i)) % 168.24/168.59 (define @t135 () (= @t53 @t80)) % 168.24/168.59 (define @t136 () (not @t134)) % 168.24/168.59 (define @t137 () (not @t57)) % 168.24/168.59 (define @t138 () (or @t137 @t136 @t135)) % 168.24/168.59 (define @t139 () (@list false false false)) % 168.24/168.59 (define @t140 () (_ @t56 @t83 tptp.lAnna_THFTYPE_i)) % 168.24/168.59 (define @t141 () (not @t140)) % 168.24/168.59 (define @t142 () (= @t80 @t91)) % 168.24/168.59 (define @t143 () (not @t142)) % 168.24/168.59 (define @t144 () (not @t107)) % 168.24/168.59 (define @t145 () (not @t121)) % 168.24/168.59 (define @t146 () (not @t130)) % 168.24/168.59 (define @t147 () (not @t135)) % 168.24/168.59 (define @t148 () (= false true)) % 168.24/168.59 (define @t149 () (_ @t54 @t112 tptp.lBob_THFTYPE_i)) % 168.24/168.59 (define @t150 () (and @t134 @t135 @t121 @t130 @t142 @t107 @t141)) % 168.24/168.59 (define @t151 () (_ @t54 @t53 tptp.lMary_THFTYPE_i)) % 168.24/168.59 (define @t152 () (_ @t54 @t80 tptp.lMary_THFTYPE_i)) % 168.24/168.59 (define @t153 () (_ @t56 @t152 tptp.lBill_THFTYPE_i)) % 168.24/168.59 (define @t154 () (_ @t54 @t91 tptp.lMary_THFTYPE_i)) % 168.24/168.59 (define @t155 () (_ @t56 @t154 tptp.lAnna_THFTYPE_i)) % 168.24/168.59 (define @t156 () (not @t155)) % 168.24/168.59 (define @t157 () (not @t153)) % 168.24/168.59 (define @t158 () (or @t157 @t156 @t142)) % 168.24/168.59 (define @t159 () (@list false true false)) % 168.24/168.59 (define @t160 () (= tptp.lBill_THFTYPE_i tptp.lMary_THFTYPE_i)) % 168.24/168.59 (define @t161 () (ite @t160 @t83 @t151)) % 168.24/168.59 (define @t162 () (@purify @t161)) % 168.24/168.59 (define @t163 () (= @t161 @t154)) % 168.24/168.59 (define @t164 () (= @t154 @t162)) % 168.24/168.59 (define @t165 () (_ @t56 @t152 tptp.lAnna_THFTYPE_i)) % 168.24/168.59 (define @t166 () (= @t151 @t162)) % 168.24/168.59 (define @t167 () (not @t166)) % 168.24/168.59 (define @t168 () (not @t164)) % 168.24/168.59 (define @t169 () (not @t165)) % 168.24/168.59 (define @t170 () (and @t165 @t135 @t130 @t166 @t164 @t156)) % 168.24/168.59 (define @t171 () (= @t161 @t151)) % 168.24/168.59 (define @t172 () (= @t161 @t83)) % 168.24/168.59 (define @t173 () (not @t160)) % 168.24/168.59 (define @t174 () (and @t57 @t160 @t59)) % 168.24/168.59 (assume @p1 @t2) % 168.24/168.59 (assume @p2 @t3) % 168.24/168.59 (assume @p3 @t5) % 168.24/168.59 (assume @p4 (forall (@list @t9 @t6 @t7) (=> (and (_ (_ tptp.subclass_THFTYPE_IiioI @t9) @t6) (_ @t8 @t9)) (_ @t8 @t6)))) % 168.24/168.59 (assume @p5 (_ @t4 tptp.lBen_THFTYPE_i)) % 168.24/168.59 (assume @p6 (forall (@list @t13 @t10) (=> (= @t13 @t10) (forall (@list @t11) (= (_ @t12 @t13) (_ @t12 @t10)))))) % 168.24/168.59 (assume @p7 (not (_ @t14 tptp.lBen_THFTYPE_i))) % 168.24/168.59 (assume @p8 @t16) % 168.24/168.59 (assume @p9 (forall (@list @t18 @t17 @t19) (=> (and (_ (_ tptp.subrelation_THFTYPE_IIioIIioIoI @t19) @t18) (_ @t19 @t17)) (_ @t18 @t17)))) % 168.24/168.59 (assume @p10 (forall (@list @t21) (=> (_ (_ tptp.instance_THFTYPE_IiioI @t21) tptp.lOrganism_THFTYPE_i) (exists (@list @t20) (_ (_ tptp.parent_THFTYPE_IiioI @t21) @t20))))) % 168.24/168.59 (assume @p11 (forall (@list @t23 @t22) (=> (_ @t24 (not @t22)) (not (_ @t24 @t22))))) % 168.24/168.59 (assume @p12 @t25) % 168.24/168.59 (assume @p13 (forall (@list @t27 @t28) (=> (= @t28 @t27) (forall (@list @t26) (= (_ (_ tptp.instance_THFTYPE_IiioI @t28) @t26) (_ (_ tptp.instance_THFTYPE_IiioI @t27) @t26)))))) % 168.24/168.59 (assume @p14 (forall (@list @t13 @t30 @t10) (=> (and (_ @t31 @t13) (_ @t31 @t10)) @t29))) % 168.24/168.59 (assume @p15 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 168.24/168.59 (assume @p16 (forall (@list @t26 @t32 @t20) (=> (and (_ (_ tptp.parent_THFTYPE_IiioI @t32) @t20) (_ (_ tptp.subclass_THFTYPE_IiioI @t26) tptp.lOrganism_THFTYPE_i) (_ (_ tptp.instance_THFTYPE_IiioI @t20) @t26)) (_ (_ tptp.instance_THFTYPE_IiioI @t32) @t26)))) % 168.24/168.59 (assume @p17 (forall (@list @t34 @t13 @t33) (=> (and (_ (_ tptp.subrelation_THFTYPE_IiioI @t33) @t34) (_ (_ tptp.range_THFTYPE_IiioI @t34) @t13)) (_ (_ tptp.range_THFTYPE_IiioI @t33) @t13)))) % 168.24/168.59 (assume @p18 @t35) % 168.24/168.59 (assume @p19 (_ @t15 tptp.lBen_THFTYPE_i)) % 168.24/168.59 (assume @p20 (forall (@list @t36 @t13 @t30 @t10) (=> (and (_ @t37 @t13) (_ @t37 @t10)) @t29))) % 168.24/168.59 (assume @p21 (forall (@list @t36 @t38 @t13 @t39) (=> (and (_ (_ tptp.subrelation_THFTYPE_IiioI @t38) @t39) (_ (_ (_ tptp.domain_THFTYPE_IiiioI @t39) @t36) @t13)) (_ (_ (_ tptp.domain_THFTYPE_IiiioI @t38) @t36) @t13)))) % 168.24/168.59 (assume @p22 (_ @t40 tptp.lAsymmetricRelation_THFTYPE_i)) % 168.24/168.59 (assume @p23 (_ @t41 tptp.lAsymmetricRelation_THFTYPE_i)) % 168.24/168.59 (assume @p24 (_ @t41 tptp.lBinaryPredicate_THFTYPE_i)) % 168.24/168.59 (assume @p25 (_ @t40 tptp.lBinaryPredicate_THFTYPE_i)) % 168.24/168.59 (assume @p26 (_ (_ @t42 tptp.n1_THFTYPE_i) tptp.lOrganism_THFTYPE_i)) % 168.24/168.59 (assume @p27 (_ @t43 tptp.lAsymmetricRelation_THFTYPE_i)) % 168.24/168.59 (assume @p28 (_ (_ @t42 tptp.n2_THFTYPE_i) tptp.lOrganism_THFTYPE_i)) % 168.24/168.59 (assume @p29 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.subrelation_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i)) % 168.24/168.59 (assume @p30 (_ (_ tptp.instance_THFTYPE_IiioI tptp.equal_THFTYPE_i) tptp.lBinaryPredicate_THFTYPE_i)) % 168.24/168.59 (assume @p31 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.subclass_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i)) % 168.24/168.59 (assume @p32 (_ (_ tptp.instance_THFTYPE_IiioI tptp.attribute_THFTYPE_i) tptp.lAsymmetricRelation_THFTYPE_i)) % 168.24/168.59 (assume @p33 (_ (_ tptp.instance_THFTYPE_IIiioIioI tptp.instance_THFTYPE_IiioI) tptp.lBinaryPredicate_THFTYPE_i)) % 168.24/168.59 (assume @p34 (_ @t43 tptp.lBinaryPredicate_THFTYPE_i)) % 168.24/168.59 (assume @p35 @t52) % 168.24/168.59 (assume @p36 true) % 168.24/168.59 ; WARNING: add trust step for TRUST % 168.24/168.59 ; trust TRUST PREPROCESS_HO_ELIM % 168.24/168.59 (step @p37 :rule trust :premises () :args ((= @t2 @t57))) % 168.24/168.59 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 168.24/168.59 ; trust TRUST PREPROCESS_HO_ELIM % 168.24/168.59 (step @p39 :rule trust :premises () :args ((= @t3 @t59))) % 168.24/168.59 (step @p40 :rule eq_resolve :premises (@p2 @p39)) % 168.24/168.59 (step @p41 :rule eq-symm :args (@t60 @t61)) % 168.24/168.59 (step @p42 :rule refl :args (@t62)) % 168.24/168.59 (step @p43 :rule refl :args (@t63)) % 168.24/168.59 (step @p44 :rule nary_cong :premises (@p43 @p42 @p41) :args (@t64)) % 168.24/168.59 (step @p45 :rule cong :premises (@p44) :args (@t66)) % 168.24/168.59 ; trust TRUST PREPROCESS_HO_ELIM % 168.24/168.59 (step @p46 :rule trust :premises () :args ((= @t70 @t66))) % 168.24/168.59 (step @p47 :rule bool-double-not-elim :args (@t70)) % 168.24/168.59 (step @p48 :rule refl :args (@t67)) % 168.24/168.59 (step @p49 :rule refl :args (@t68)) % 168.24/168.59 (step @p50 :rule refl :args (@t47)) % 168.24/168.59 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t47 @t68))) % 168.24/168.59 (step @p52 :rule symm :premises (@p51)) % 168.24/168.59 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 168.24/168.59 (step @p54 :rule cong :premises (@p53) :args (@t71)) % 168.24/168.59 (step @p55 :rule refl :args (@t69)) % 168.24/168.59 (step @p56 :rule refl :args (@t48)) % 168.24/168.59 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t48 @t69))) % 168.24/168.59 (step @p58 :rule symm :premises (@p57)) % 168.24/168.59 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 168.24/168.59 (step @p60 :rule cong :premises (@p59) :args (@t72)) % 168.24/168.59 (step @p61 :rule nary_cong :premises (@p60 @p54 @p48) :args (@t73)) % 168.24/168.59 (step @p62 :rule cong :premises (@p61) :args ((forall @t50 @t73))) % 168.24/168.59 (step @p63 :rule bool-double-not-elim :args (@t67)) % 168.24/168.59 (step @p64 :rule refl :args (@t71)) % 168.24/168.59 (step @p65 :rule refl :args (@t72)) % 168.24/168.59 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63) :args (@t76)) % 168.24/168.59 (step @p67 :rule aci_norm :args ((= (or @t72 (or @t71 @t75)) @t76))) % 168.24/168.59 (step @p68 :rule trans :premises (@p67 @p66)) % 168.24/168.59 (step @p69 :rule bool-and-de-morgan :args (@t47 @t74 true)) % 168.24/168.59 (step @p70 :rule nary_cong :premises (@p65 @p69) :args ((or @t72 (not (and @t47 @t74))))) % 168.24/168.59 (step @p71 :rule bool-and-de-morgan :args (@t48 @t47 (and @t74))) % 168.24/168.59 (step @p72 :rule trans :premises (@p71 @p70)) % 168.24/168.59 (step @p73 :rule trans :premises (@p72 @p68)) % 168.24/168.59 (step @p74 :rule cong :premises (@p73) :args (@t78)) % 168.24/168.59 (step @p75 :rule trans :premises (@p74 @p62)) % 168.24/168.59 (step @p76 :rule cong :premises (@p75) :args (@t79)) % 168.24/168.59 (step @p77 :rule exists-elim :args ((= (exists @t50 @t77) @t79))) % 168.24/168.59 (step @p78 :rule trans :premises (@p77 @p76)) % 168.24/168.59 (step @p79 :rule eq-symm :args (@t45 @t44)) % 168.24/168.59 (step @p80 :rule cong :premises (@p79) :args (@t46)) % 168.24/168.59 (step @p81 :rule refl :args (@t47)) % 168.24/168.59 (step @p82 :rule refl :args (@t48)) % 168.24/168.59 (step @p83 :rule nary_cong :premises (@p82 @p81 @p80) :args (@t49)) % 168.24/168.59 (step @p84 :rule cong :premises (@p83) :args (@t51)) % 168.24/168.59 (step @p85 :rule trans :premises (@p84 @p78)) % 168.24/168.59 (step @p86 :rule cong :premises (@p85) :args (@t52)) % 168.24/168.59 (step @p87 :rule trans :premises (@p86 @p47)) % 168.24/168.59 (step @p88 :rule trans :premises (@p87 @p46 @p45)) % 168.24/168.59 (step @p89 :rule eq_resolve :premises (@p35 @p88)) % 168.24/168.59 (step @p90 :rule instantiate :premises (@p89) :args ((@list @t91 @t80 tptp.lMary_THFTYPE_i))) % 168.24/168.59 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 168.24/168.59 (step @p91 :rule trust :premises () :args ((forall (@list @t92 @t93 @t94) (not (forall @t89 (not (forall @t88 (= @t87 (ite (= @t94 @t81) @t93 (_ @t54 @t92 @t81)))))))))) % 168.24/168.59 (step @p92 :rule instantiate :premises (@p91) :args ((@list @t53 @t83 tptp.lBill_THFTYPE_i))) % 168.24/168.59 (step @p93 :rule refl :args (@t96)) % 168.24/168.59 (step @p94 :rule bool-double-not-elim :args (@t90)) % 168.24/168.59 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or (not @t97) @t96))) % 168.24/168.59 (step @p96 :rule eq-symm :args (@t95 @t85)) % 168.24/168.59 (step @p97 :rule cong :premises (@p96) :args (@t98)) % 168.24/168.59 (step @p98 :rule bool-double-not-elim :args (@t98)) % 168.24/168.59 (step @p99 :rule trans :premises (@p98 @p97)) % 168.24/168.59 (step @p100 :rule refl :args (@t97)) % 168.24/168.59 (step @p101 :rule cong :premises (@p100 @p99) :args ((=> @t97 @t99))) % 168.24/168.59 (assume-push @p396 @t97) % 168.24/168.59 (step @p103 :rule skolemize :premises (@p92)) % 168.24/168.59 (step-pop @p397 :rule scope :premises (@p103)) % 168.24/168.59 (step @p104 :rule process_scope :premises (@p397) :args (@t99)) % 168.24/168.59 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 168.24/168.59 (step @p107 :rule implies_elim :premises (@p106)) % 168.24/168.59 (step @p108 :rule eq_resolve :premises (@p107 @p95)) % 168.24/168.59 (step @p109 :rule chain_m_resolution :premises (@p108 @p92) :args (@t96 @t100 (@list @t90))) % 168.24/168.59 (step @p110 :rule refl :args (@t101)) % 168.24/168.59 (step @p111 :rule ite-true-cond :args (@t83 @t102)) % 168.24/168.59 (step @p112 :rule refl :args (@t102)) % 168.24/168.59 (step @p113 :rule refl :args (@t83)) % 168.24/168.59 (step @p114 :rule eq-refl :args (tptp.lBill_THFTYPE_i)) % 168.24/168.59 (step @p115 :rule cong :premises (@p114 @p113 @p112) :args (@t104)) % 168.24/168.59 (step @p116 :rule trans :premises (@p115 @p111)) % 168.24/168.59 (step @p117 :rule cong :premises (@p116 @p110) :args (@t105)) % 168.24/168.59 (step @p118 :rule cong :premises (@p93 @p117) :args ((=> @t96 @t105))) % 168.24/168.59 (assume-push @p398 @t96) % 168.24/168.59 (step @p120 :rule instantiate :premises (@p109) :args (@t106)) % 168.24/168.59 (step-pop @p399 :rule scope :premises (@p120)) % 168.24/168.59 (step @p121 :rule process_scope :premises (@p399) :args (@t105)) % 168.24/168.59 (step @p123 :rule eq_resolve :premises (@p121 @p118)) % 168.24/168.59 (step @p124 :rule implies_elim :premises (@p123)) % 168.24/168.59 (step @p125 :rule chain_m_resolution :premises (@p124 @p109) :args (@t107 @t108 @t109)) % 168.24/168.59 (step @p126 :rule instantiate :premises (@p91) :args ((@list @t53 @t55 tptp.lBill_THFTYPE_i))) % 168.24/168.59 (step @p127 :rule refl :args (@t114)) % 168.24/168.59 (step @p128 :rule bool-double-not-elim :args (@t111)) % 168.24/168.59 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or (not @t115) @t114))) % 168.24/168.59 (step @p130 :rule eq-symm :args (@t113 @t110)) % 168.24/168.59 (step @p131 :rule cong :premises (@p130) :args (@t116)) % 168.24/168.59 (step @p132 :rule bool-double-not-elim :args (@t116)) % 168.24/168.59 (step @p133 :rule trans :premises (@p132 @p131)) % 168.24/168.59 (step @p134 :rule refl :args (@t115)) % 168.24/168.59 (step @p135 :rule cong :premises (@p134 @p133) :args ((=> @t115 @t117))) % 168.24/168.59 (assume-push @p400 @t115) % 168.24/168.59 (step @p137 :rule skolemize :premises (@p126)) % 168.24/168.59 (step-pop @p401 :rule scope :premises (@p137)) % 168.24/168.59 (step @p138 :rule process_scope :premises (@p401) :args (@t117)) % 168.24/168.59 (step @p140 :rule eq_resolve :premises (@p138 @p135)) % 168.24/168.59 (step @p141 :rule implies_elim :premises (@p140)) % 168.24/168.59 (step @p142 :rule eq_resolve :premises (@p141 @p129)) % 168.24/168.59 (step @p143 :rule chain_m_resolution :premises (@p142 @p126) :args (@t114 @t100 (@list @t111))) % 168.24/168.59 (step @p144 :rule refl :args (@t118)) % 168.24/168.59 (step @p145 :rule ite-true-cond :args (@t55 @t102)) % 168.24/168.59 (step @p146 :rule refl :args (@t55)) % 168.24/168.59 (step @p147 :rule cong :premises (@p114 @p146 @p112) :args (@t119)) % 168.24/168.59 (step @p148 :rule trans :premises (@p147 @p145)) % 168.24/168.59 (step @p149 :rule cong :premises (@p148 @p144) :args (@t120)) % 168.24/168.59 (step @p150 :rule cong :premises (@p127 @p149) :args ((=> @t114 @t120))) % 168.24/168.59 (assume-push @p402 @t114) % 168.24/168.59 (step @p152 :rule instantiate :premises (@p143) :args (@t106)) % 168.24/168.59 (step-pop @p403 :rule scope :premises (@p152)) % 168.24/168.59 (step @p153 :rule process_scope :premises (@p403) :args (@t120)) % 168.24/168.59 (step @p155 :rule eq_resolve :premises (@p153 @p150)) % 168.24/168.59 (step @p156 :rule implies_elim :premises (@p155)) % 168.24/168.59 (step @p157 :rule chain_m_resolution :premises (@p156 @p143) :args (@t121 @t108 @t122)) % 168.24/168.59 (step @p158 :rule eq-symm :args (@t112 @t53)) % 168.24/168.59 (step @p159 :rule refl :args (@t124)) % 168.24/168.59 (step @p160 :rule refl :args (@t127)) % 168.24/168.59 (step @p161 :rule nary_cong :premises (@p160 @p159 @p158) :args (@t128)) % 168.24/168.59 (step @p162 :rule refl :args (@t129)) % 168.24/168.59 (step @p163 :rule cong :premises (@p162 @p161) :args ((=> @t129 @t128))) % 168.24/168.59 (assume-push @p404 @t129) % 168.24/168.59 (step @p165 :rule instantiate :premises (@p89) :args ((@list @t53 @t112 tptp.lSue_THFTYPE_i))) % 168.24/168.59 (step-pop @p405 :rule scope :premises (@p165)) % 168.24/168.59 (step @p166 :rule process_scope :premises (@p405) :args (@t128)) % 168.24/168.59 (step @p168 :rule eq_resolve :premises (@p166 @p163)) % 168.24/168.59 (step @p169 :rule implies_elim :premises (@p168)) % 168.24/168.59 (step @p170 :rule chain_m_resolution :premises (@p169 @p89) :args (@t131 @t108 (@list @t129))) % 168.24/168.59 (step @p171 :rule true_intro :premises (@p38)) % 168.24/168.59 (step @p172 :rule refl :args (tptp.lBill_THFTYPE_i)) % 168.24/168.59 (step @p173 :rule refl :args (@t125)) % 168.24/168.59 (step @p174 :rule ite-eq-branch :args (@t132 @t55)) % 168.24/168.59 (step @p175 :rule cong :premises (@p174 @p173) :args (@t133)) % 168.24/168.59 (step @p176 :rule cong :premises (@p127 @p175) :args ((=> @t114 @t133))) % 168.24/168.59 (assume-push @p406 @t114) % 168.24/168.59 (step @p178 :rule instantiate :premises (@p143) :args ((@list tptp.lSue_THFTYPE_i))) % 168.24/168.59 (step-pop @p407 :rule scope :premises (@p178)) % 168.24/168.59 (step @p179 :rule process_scope :premises (@p407) :args (@t133)) % 168.24/168.59 (step @p181 :rule eq_resolve :premises (@p179 @p176)) % 168.24/168.59 (step @p182 :rule implies_elim :premises (@p181)) % 168.24/168.59 (step @p183 :rule chain_m_resolution :premises (@p182 @p143) :args ((= @t55 @t125) @t108 @t122)) % 168.24/168.59 (step @p184 :rule symm :premises (@p183)) % 168.24/168.59 (step @p185 :rule cong :premises (@p184 @p172) :args (@t126)) % 168.24/168.59 (step @p186 :rule trans :premises (@p185 @p171)) % 168.24/168.59 (step @p187 :rule true_elim :premises (@p186)) % 168.24/168.59 ; trust TRUST PREPROCESS_HO_ELIM % 168.24/168.59 (step @p188 :rule trust :premises () :args ((= @t16 @t134))) % 168.24/168.59 (step @p189 :rule eq_resolve :premises (@p8 @p188)) % 168.24/168.59 (step @p190 :rule true_intro :premises (@p189)) % 168.24/168.59 (step @p191 :rule refl :args (tptp.lAnna_THFTYPE_i)) % 168.24/168.59 (step @p192 :rule refl :args (tptp.lSue_THFTYPE_i)) % 168.24/168.59 (step @p193 :rule instantiate :premises (@p89) :args ((@list @t80 @t53 tptp.lSue_THFTYPE_i))) % 168.24/168.59 (step @p194 :rule cnf_or_pos :args (@t138)) % 168.24/168.59 (step @p195 :rule reordering :premises (@p194) :args ((or @t137 @t136 @t135 (not @t138)))) % 168.24/168.59 (step @p196 :rule chain_m_resolution :premises (@p195 @p38 @p189 @p193) :args (@t135 @t139 (@list @t57 @t134 @t138))) % 168.24/168.59 (step @p197 :rule cong :premises (@p196 @p192) :args (@t55)) % 168.24/168.59 (step @p198 :rule cong :premises (@p197 @p191) :args (@t123)) % 168.24/168.59 (step @p199 :rule trans :premises (@p198 @p190)) % 168.24/168.59 (step @p200 :rule true_elim :premises (@p199)) % 168.24/168.59 (step @p201 :rule cnf_or_pos :args (@t131)) % 168.24/168.59 (step @p202 :rule reordering :premises (@p201) :args ((or @t124 @t130 @t127 (not @t131)))) % 168.24/168.59 (step @p203 :rule chain_m_resolution :premises (@p202 @p200 @p187 @p170) :args (@t130 @t139 (@list @t123 @t126 @t131))) % 168.24/168.59 ; trust TRUST PREPROCESS_HO_ELIM % 168.24/168.59 (step @p204 :rule trust :premises () :args ((= @t35 @t141))) % 168.24/168.59 (step @p205 :rule eq_resolve :premises (@p18 @p204)) % 168.24/168.59 (step @p206 :rule refl :args (@t143)) % 168.24/168.59 (step @p207 :rule refl :args (@t144)) % 168.24/168.59 (step @p208 :rule refl :args (@t145)) % 168.24/168.59 (step @p209 :rule refl :args (@t146)) % 168.24/168.59 (step @p210 :rule refl :args (@t147)) % 168.24/168.59 (step @p211 :rule bool-double-not-elim :args (@t140)) % 168.24/168.59 (step @p212 :rule refl :args (@t136)) % 168.24/168.59 (step @p213 :rule nary_cong :premises (@p212 @p211 @p210 @p209 @p208 @p207 @p206) :args ((or @t136 (not @t141) @t147 @t146 @t145 @t144 @t143))) % 168.24/168.59 (assume-push @p408 @t134) % 168.24/168.59 (assume-push @p409 @t135) % 168.24/168.59 (assume-push @p410 @t121) % 168.24/168.59 (assume-push @p411 @t130) % 168.24/168.59 (assume-push @p412 @t142) % 168.24/168.59 (assume-push @p413 @t107) % 168.24/168.59 (assume-push @p414 @t141) % 168.24/168.59 (step @p221 :rule evaluate :args (@t148)) % 168.24/168.59 (step @p222 :rule symm :premises (@p157)) % 168.24/168.59 (step @p223 :rule symm :premises (@p196)) % 168.24/168.59 (step @p224 :rule symm :premises (@p412)) % 168.24/168.59 (step @p225 :rule trans :premises (@p224 @p223)) % 168.24/168.59 (step @p226 :rule trans :premises (@p225 @p203)) % 168.24/168.59 (step @p227 :rule cong :premises (@p226 @p172) :args (@t101)) % 168.24/168.59 (step @p228 :rule refl :args (tptp.lBob_THFTYPE_i)) % 168.24/168.59 (step @p229 :rule symm :premises (@p203)) % 168.24/168.59 (step @p230 :rule trans :premises (@p229 @p196)) % 168.24/168.59 (step @p231 :rule cong :premises (@p230 @p228) :args (@t149)) % 168.24/168.59 (step @p232 :rule trans :premises (@p231 @p125 @p227 @p222)) % 168.24/168.59 (step @p233 :rule trans :premises (@p232 @p197)) % 168.24/168.59 (step @p234 :rule cong :premises (@p233 @p191) :args ((_ @t56 @t149 tptp.lAnna_THFTYPE_i))) % 168.24/168.59 (step @p235 :rule symm :premises (@p231)) % 168.24/168.59 (step @p236 :rule cong :premises (@p235 @p191) :args (@t140)) % 168.24/168.59 (step @p237 :rule false_intro :premises (@p205)) % 168.24/168.59 (step @p238 :rule symm :premises (@p237)) % 168.24/168.59 (step @p239 :rule trans :premises (@p238 @p236 @p234 @p190)) % 168.24/168.59 (step @p240 false :rule eq_resolve :premises (@p239 @p221)) % 168.24/168.59 (step-pop @p415 :rule scope :premises (@p240)) % 168.24/168.59 (step-pop @p416 :rule scope :premises (@p415)) % 168.24/168.59 (step-pop @p417 :rule scope :premises (@p416)) % 168.24/168.59 (step-pop @p418 :rule scope :premises (@p417)) % 168.24/168.59 (step-pop @p419 :rule scope :premises (@p418)) % 168.24/168.59 (step-pop @p420 :rule scope :premises (@p419)) % 168.24/168.59 (step-pop @p421 :rule scope :premises (@p420)) % 168.24/168.59 (step @p241 :rule process_scope :premises (@p421) :args (false)) % 168.24/168.59 (assume-push @p422 @t134) % 168.24/168.59 (assume-push @p423 @t141) % 168.24/168.59 (assume-push @p424 @t135) % 168.24/168.59 (assume-push @p425 @t130) % 168.24/168.59 (assume-push @p426 @t121) % 168.24/168.59 (assume-push @p427 @t107) % 168.24/168.59 (assume-push @p428 @t142) % 168.24/168.59 (step @p256 :rule and_intro :premises (@p189 @p196 @p157 @p203 @p428 @p125 @p205)) % 168.24/168.59 (step-pop @p429 :rule scope :premises (@p256)) % 168.24/168.59 (step-pop @p430 :rule scope :premises (@p429)) % 168.24/168.59 (step-pop @p431 :rule scope :premises (@p430)) % 168.24/168.59 (step-pop @p432 :rule scope :premises (@p431)) % 168.24/168.59 (step-pop @p433 :rule scope :premises (@p432)) % 168.24/168.59 (step-pop @p434 :rule scope :premises (@p433)) % 168.24/168.59 (step-pop @p435 :rule scope :premises (@p434)) % 168.24/168.59 (step @p257 :rule process_scope :premises (@p435) :args (@t150)) % 168.24/168.59 (step @p265 :rule implies_elim :premises (@p257)) % 168.24/168.59 (step @p266 :rule resolution :premises (@p265 @p241) :args (true @t150)) % 168.24/168.59 (step @p267 :rule not_and :premises (@p266)) % 168.24/168.59 (step @p268 :rule eq_resolve :premises (@p267 @p213)) % 168.24/168.59 (step @p269 :rule reordering :premises (@p268) :args ((or @t140 @t136 @t147 @t146 @t145 @t144 @t143))) % 168.24/168.59 (step @p270 :rule chain_m_resolution :premises (@p269 @p205 @p189 @p196 @p203 @p157 @p125) :args (@t143 (@list true false false false false false) (@list @t140 @t134 @t135 @t130 @t121 @t107))) % 168.24/168.59 ; trust TRUST PREPROCESS_HO_ELIM % 168.24/168.59 (step @p271 :rule trust :premises () :args ((= @t25 (_ @t56 @t151 tptp.lBill_THFTYPE_i)))) % 168.24/168.59 (step @p272 :rule eq_resolve :premises (@p12 @p271)) % 168.24/168.59 (step @p273 :rule true_intro :premises (@p272)) % 168.24/168.59 (step @p274 :rule refl :args (tptp.lMary_THFTYPE_i)) % 168.24/168.59 (step @p223 :rule symm :premises (@p196)) % 168.24/168.59 (step @p275 :rule cong :premises (@p223 @p274) :args (@t152)) % 168.24/168.59 (step @p276 :rule cong :premises (@p275 @p172) :args (@t153)) % 168.24/168.59 (step @p277 :rule trans :premises (@p276 @p273)) % 168.24/168.59 (step @p278 :rule true_elim :premises (@p277)) % 168.24/168.59 (step @p279 :rule cnf_or_pos :args (@t158)) % 168.24/168.59 (step @p280 :rule reordering :premises (@p279) :args ((or @t157 @t156 @t142 (not @t158)))) % 168.24/168.59 (step @p281 :rule chain_m_resolution :premises (@p280 @p278 @p270 @p90) :args (@t156 @t159 (@list @t153 @t142 @t158))) % 168.24/168.59 (step @p282 :rule eq-symm :args (@t162 @t154)) % 168.24/168.59 (step @p283 :rule refl :args (@t154)) % 168.24/168.59 (step @p284 :rule eq-refl :args (@t161)) % 168.24/168.59 (step @p285 :rule skolem_intro :args (@t162)) % 168.24/168.59 (step @p286 :rule refl :args (@t161)) % 168.24/168.59 (step @p287 :rule cong :premises (@p286 @p285) :args ((= @t161 @t162))) % 168.24/168.59 (step @p288 :rule trans :premises (@p287 @p284)) % 168.24/168.59 (step @p289 :rule true_elim :premises (@p288)) % 168.24/168.59 (step @p290 :rule cong :premises (@p289 @p283) :args (@t163)) % 168.24/168.59 (step @p291 :rule trans :premises (@p290 @p282)) % 168.24/168.59 (step @p292 :rule cong :premises (@p93 @p291) :args ((=> @t96 @t163))) % 168.24/168.59 (assume-push @p436 @t96) % 168.24/168.59 (step @p294 :rule instantiate :premises (@p109) :args ((@list tptp.lMary_THFTYPE_i))) % 168.24/168.59 (step-pop @p437 :rule scope :premises (@p294)) % 168.24/168.59 (step @p295 :rule process_scope :premises (@p437) :args (@t163)) % 168.24/168.59 (step @p297 :rule eq_resolve :premises (@p295 @p292)) % 168.24/168.59 (step @p298 :rule implies_elim :premises (@p297)) % 168.24/168.59 (step @p299 :rule chain_m_resolution :premises (@p298 @p109) :args (@t164 @t108 @t109)) % 168.24/168.59 ; trust TRUST PREPROCESS_HO_ELIM % 168.24/168.59 (step @p300 :rule trust :premises () :args ((= @t5 @t165))) % 168.24/168.59 (step @p301 :rule eq_resolve :premises (@p3 @p300)) % 168.24/168.59 (step @p302 :rule bool-double-not-elim :args (@t155)) % 168.24/168.59 (step @p303 :rule refl :args (@t167)) % 168.24/168.59 (step @p304 :rule refl :args (@t168)) % 168.24/168.59 (step @p305 :rule refl :args (@t169)) % 168.24/168.59 (step @p306 :rule nary_cong :premises (@p305 @p210 @p209 @p304 @p303 @p302) :args ((or @t169 @t147 @t146 @t168 @t167 (not @t156)))) % 168.24/168.59 (assume-push @p438 @t165) % 168.24/168.59 (assume-push @p439 @t135) % 168.24/168.59 (assume-push @p440 @t130) % 168.24/168.59 (assume-push @p441 @t166) % 168.24/168.59 (assume-push @p442 @t164) % 168.24/168.59 (assume-push @p443 @t156) % 168.24/168.59 (step @p221 :rule evaluate :args (@t148)) % 168.24/168.59 (step @p313 :rule true_intro :premises (@p301)) % 168.24/168.59 (step @p314 :rule cong :premises (@p196 @p274) :args (@t151)) % 168.24/168.59 (step @p229 :rule symm :premises (@p203)) % 168.24/168.59 (step @p230 :rule trans :premises (@p229 @p196)) % 168.24/168.59 (step @p315 :rule cong :premises (@p230 @p274) :args ((_ @t54 @t112 tptp.lMary_THFTYPE_i))) % 168.24/168.59 (step @p316 :rule trans :premises (@p315 @p275)) % 168.24/168.59 (step @p317 :rule symm :premises (@p315)) % 168.24/168.59 (step @p318 :rule symm :premises (@p441)) % 168.24/168.59 (step @p319 :rule trans :premises (@p299 @p318 @p314 @p317)) % 168.24/168.59 (step @p320 :rule trans :premises (@p319 @p316 @p314)) % 168.24/168.59 (step @p321 :rule cong :premises (@p320 @p191) :args (@t155)) % 168.24/168.59 (step @p322 :rule false_intro :premises (@p443)) % 168.24/168.59 (step @p323 :rule symm :premises (@p322)) % 168.24/168.59 (step @p324 :rule trans :premises (@p323 @p321 @p313)) % 168.24/168.59 (step @p325 false :rule eq_resolve :premises (@p324 @p221)) % 168.24/168.59 (step-pop @p444 :rule scope :premises (@p325)) % 168.24/168.59 (step-pop @p445 :rule scope :premises (@p444)) % 168.24/168.59 (step-pop @p446 :rule scope :premises (@p445)) % 168.24/168.59 (step-pop @p447 :rule scope :premises (@p446)) % 168.24/168.59 (step-pop @p448 :rule scope :premises (@p447)) % 168.24/168.59 (step-pop @p449 :rule scope :premises (@p448)) % 168.24/168.59 (step @p326 :rule process_scope :premises (@p449) :args (false)) % 168.24/168.59 (assume-push @p450 @t165) % 168.24/168.59 (assume-push @p451 @t135) % 168.24/168.59 (assume-push @p452 @t130) % 168.24/168.59 (assume-push @p453 @t164) % 168.24/168.59 (assume-push @p454 @t166) % 168.24/168.59 (assume-push @p455 @t156) % 168.24/168.59 (step @p339 :rule and_intro :premises (@p301 @p196 @p203 @p454 @p299 @p455)) % 168.24/168.59 (step-pop @p456 :rule scope :premises (@p339)) % 168.24/168.59 (step-pop @p457 :rule scope :premises (@p456)) % 168.24/168.59 (step-pop @p458 :rule scope :premises (@p457)) % 168.24/168.59 (step-pop @p459 :rule scope :premises (@p458)) % 168.24/168.59 (step-pop @p460 :rule scope :premises (@p459)) % 168.24/168.59 (step-pop @p461 :rule scope :premises (@p460)) % 168.24/168.59 (step @p340 :rule process_scope :premises (@p461) :args (@t170)) % 168.24/168.59 (step @p347 :rule implies_elim :premises (@p340)) % 168.24/168.59 (step @p348 :rule resolution :premises (@p347 @p326) :args (true @t170)) % 168.24/168.59 (step @p349 :rule not_and :premises (@p348)) % 168.24/168.59 (step @p350 :rule eq_resolve :premises (@p349 @p306)) % 168.24/168.59 (step @p351 :rule chain_m_resolution :premises (@p350 @p301 @p196 @p203 @p299 @p281) :args (@t167 (@list false false false false true) (@list @t165 @t135 @t130 @t164 @t155))) % 168.24/168.59 (step @p352 :rule eq-symm :args (@t162 @t151)) % 168.24/168.59 (step @p353 :rule eq-symm :args (@t162 @t83)) % 168.24/168.59 (step @p354 :rule refl :args (@t160)) % 168.24/168.59 (step @p355 :rule cong :premises (@p354 @p353 @p352) :args ((ite @t160 (= @t162 @t83) (= @t162 @t151)))) % 168.24/168.59 (step @p356 :rule refl :args (@t151)) % 168.24/168.59 (step @p357 :rule cong :premises (@p289 @p356) :args (@t171)) % 168.24/168.59 (step @p358 :rule cong :premises (@p289 @p113) :args (@t172)) % 168.24/168.59 (step @p359 :rule cong :premises (@p354 @p358 @p357) :args ((ite @t160 @t172 @t171))) % 168.24/168.59 (step @p360 :rule ite_eq :args (@t161)) % 168.24/168.59 (step @p361 :rule eq_resolve :premises (@p360 @p359)) % 168.24/168.59 (step @p362 :rule eq_resolve :premises (@p361 @p355)) % 168.24/168.59 (step @p363 :rule ite_elim2 :premises (@p362)) % 168.24/168.59 (step @p364 :rule chain_m_resolution :premises (@p363 @p351) :args (@t160 @t100 (@list @t166))) % 168.24/168.59 (step @p365 :rule refl :args (@t173)) % 168.24/168.59 (step @p366 :rule bool-double-not-elim :args (@t58)) % 168.24/168.59 (step @p367 :rule refl :args (@t137)) % 168.24/168.59 (step @p368 :rule nary_cong :premises (@p367 @p366 @p365) :args ((or @t137 (not @t59) @t173))) % 168.24/168.59 (assume-push @p462 @t57) % 168.24/168.59 (assume-push @p463 @t160) % 168.24/168.59 (assume-push @p464 @t59) % 168.24/168.59 (step @p221 :rule evaluate :args (@t148)) % 168.24/168.59 (step @p372 :rule symm :premises (@p463)) % 168.24/168.59 (step @p373 :rule cong :premises (@p146 @p372) :args (@t58)) % 168.24/168.59 (step @p374 :rule false_intro :premises (@p40)) % 168.24/168.59 (step @p375 :rule symm :premises (@p374)) % 168.24/168.59 (step @p376 :rule trans :premises (@p375 @p373 @p171)) % 168.24/168.59 (step @p377 false :rule eq_resolve :premises (@p376 @p221)) % 168.24/168.59 (step-pop @p465 :rule scope :premises (@p377)) % 168.24/168.59 (step-pop @p466 :rule scope :premises (@p465)) % 168.24/168.59 (step-pop @p467 :rule scope :premises (@p466)) % 168.24/168.59 (step @p378 :rule process_scope :premises (@p467) :args (false)) % 168.24/168.59 (assume-push @p468 @t57) % 168.24/168.60 (assume-push @p469 @t59) % 168.24/168.60 (assume-push @p470 @t160) % 168.24/168.60 (step @p385 :rule and_intro :premises (@p38 @p470 @p40)) % 168.24/168.60 (step-pop @p471 :rule scope :premises (@p385)) % 168.24/168.60 (step-pop @p472 :rule scope :premises (@p471)) % 168.24/168.60 (step-pop @p473 :rule scope :premises (@p472)) % 168.24/168.60 (step @p386 :rule process_scope :premises (@p473) :args (@t174)) % 168.24/168.60 (step @p390 :rule implies_elim :premises (@p386)) % 168.24/168.60 (step @p391 :rule resolution :premises (@p390 @p378) :args (true @t174)) % 168.24/168.60 (step @p392 :rule not_and :premises (@p391)) % 168.24/168.60 (step @p393 :rule eq_resolve :premises (@p392 @p368)) % 168.24/168.60 (step @p394 :rule reordering :premises (@p393) :args ((or @t58 @t137 @t173))) % 168.24/168.60 (step @p395 false :rule chain_m_resolution :premises (@p394 @p364 @p40 @p38) :args (false @t159 (@list @t160 @t58 @t57))) % 168.24/168.60 ) % 168.24/168.60 % SZS output end Proof % 168.24/168.60 % cvc5 exiting %------------------------------------------------------------------------------