%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWB025+2 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : 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 08:57:12 AM UTC 2026 % Result : Theorem 0.25s 0.46s % Output : Proof 0.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWB025+2 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 18:55:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.25/0.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.25/0.46 % SZS status Theorem % 0.25/0.46 % SZS output start Proof % 0.25/0.46 ( % 0.25/0.46 (declare-sort $$unsorted 0) % 0.25/0.46 (declare-const tptp.uri_ex_hasFather $$unsorted) % 0.25/0.46 (declare-const tptp.ip (-> $$unsorted Bool)) % 0.25/0.46 (declare-const tptp.uri_ex_alice $$unsorted) % 0.25/0.46 (declare-const tptp.uri_owl_propertyChainAxiom $$unsorted) % 0.25/0.46 (declare-const tptp.uri_rdf_nil $$unsorted) % 0.25/0.46 (declare-const tptp.uri_rdf_rest $$unsorted) % 0.25/0.46 (declare-const tptp.uri_ex_dave $$unsorted) % 0.25/0.46 (declare-const tptp.uri_rdf_first $$unsorted) % 0.25/0.46 (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.25/0.46 (declare-const tptp.uri_owl_inverseOf $$unsorted) % 0.25/0.46 (declare-const tptp.uri_ex_hasUncle $$unsorted) % 0.25/0.46 (declare-const tptp.uri_ex_bob $$unsorted) % 0.25/0.46 (declare-const tptp.uri_ex_hasCousin $$unsorted) % 0.25/0.46 (declare-const tptp.uri_ex_charly $$unsorted) % 0.25/0.46 (define @t1 () (@var "Y2" $$unsorted)) % 0.25/0.46 (define @t2 () (@var "Y0" $$unsorted)) % 0.25/0.46 (define @t3 () (@var "P" $$unsorted)) % 0.25/0.46 (define @t4 () (tptp.iext @t3 @t2 @t1)) % 0.25/0.46 (define @t5 () (@var "Y1" $$unsorted)) % 0.25/0.46 (define @t6 () (@var "P2" $$unsorted)) % 0.25/0.46 (define @t7 () (tptp.iext @t6 @t5 @t1)) % 0.25/0.46 (define @t8 () (@var "P1" $$unsorted)) % 0.25/0.46 (define @t9 () (tptp.iext @t8 @t2 @t5)) % 0.25/0.46 (define @t10 () (and @t9 @t7)) % 0.25/0.46 (define @t11 () (@list @t2 @t5 @t1)) % 0.25/0.46 (define @t12 () (forall @t11 (=> @t10 @t4))) % 0.25/0.46 (define @t13 () (tptp.ip @t6)) % 0.25/0.46 (define @t14 () (tptp.ip @t8)) % 0.25/0.46 (define @t15 () (tptp.ip @t3)) % 0.25/0.46 (define @t16 () (and @t15 @t14 @t13 @t12)) % 0.25/0.46 (define @t17 () (@var "S1" $$unsorted)) % 0.25/0.46 (define @t18 () (tptp.iext tptp.uri_owl_propertyChainAxiom @t3 @t17)) % 0.25/0.46 (define @t19 () (= @t18 @t16)) % 0.25/0.46 (define @t20 () (@var "S2" $$unsorted)) % 0.25/0.46 (define @t21 () (tptp.iext tptp.uri_rdf_rest @t20 tptp.uri_rdf_nil)) % 0.25/0.46 (define @t22 () (tptp.iext tptp.uri_rdf_first @t20 @t6)) % 0.25/0.46 (define @t23 () (tptp.iext tptp.uri_rdf_rest @t17 @t20)) % 0.25/0.46 (define @t24 () (tptp.iext tptp.uri_rdf_first @t17 @t8)) % 0.25/0.46 (define @t25 () (and @t24 @t23 @t22 @t21)) % 0.25/0.46 (define @t26 () (=> @t25 @t19)) % 0.25/0.46 (define @t27 () (@list @t3 @t17 @t8 @t20 @t6)) % 0.25/0.46 (define @t28 () (forall @t27 @t26)) % 0.25/0.46 (define @t29 () (@var "X" $$unsorted)) % 0.25/0.46 (define @t30 () (@var "Y" $$unsorted)) % 0.25/0.46 (define @t31 () (@list @t29 @t30)) % 0.25/0.46 (define @t32 () (tptp.iext tptp.uri_ex_hasCousin tptp.uri_ex_bob tptp.uri_ex_alice)) % 0.25/0.46 (define @t33 () (tptp.iext tptp.uri_ex_hasUncle tptp.uri_ex_alice tptp.uri_ex_charly)) % 0.25/0.46 (define @t34 () (tptp.iext tptp.uri_ex_hasUncle tptp.uri_ex_bob tptp.uri_ex_dave)) % 0.25/0.46 (define @t35 () (tptp.iext tptp.uri_ex_hasFather tptp.uri_ex_bob tptp.uri_ex_charly)) % 0.25/0.46 (define @t36 () (tptp.iext tptp.uri_ex_hasCousin tptp.uri_ex_alice tptp.uri_ex_bob)) % 0.25/0.46 (define @t37 () (tptp.iext tptp.uri_ex_hasFather tptp.uri_ex_alice tptp.uri_ex_dave)) % 0.25/0.46 (define @t38 () (@var "BNODE_l3" $$unsorted)) % 0.25/0.46 (define @t39 () (tptp.iext tptp.uri_owl_inverseOf @t38 tptp.uri_ex_hasFather)) % 0.25/0.46 (define @t40 () (@var "BNODE_l22" $$unsorted)) % 0.25/0.46 (define @t41 () (tptp.iext tptp.uri_rdf_rest @t40 tptp.uri_rdf_nil)) % 0.25/0.46 (define @t42 () (tptp.iext tptp.uri_rdf_first @t40 @t38)) % 0.25/0.46 (define @t43 () (@var "BNODE_l21" $$unsorted)) % 0.25/0.46 (define @t44 () (tptp.iext tptp.uri_rdf_rest @t43 @t40)) % 0.25/0.46 (define @t45 () (tptp.iext tptp.uri_rdf_first @t43 tptp.uri_ex_hasUncle)) % 0.25/0.46 (define @t46 () (tptp.iext tptp.uri_owl_propertyChainAxiom tptp.uri_ex_hasCousin @t43)) % 0.25/0.46 (define @t47 () (@var "BNODE_l12" $$unsorted)) % 0.25/0.46 (define @t48 () (tptp.iext tptp.uri_rdf_rest @t47 tptp.uri_rdf_nil)) % 0.25/0.46 (define @t49 () (tptp.iext tptp.uri_rdf_first @t47 tptp.uri_ex_hasFather)) % 0.25/0.46 (define @t50 () (@var "BNODE_l11" $$unsorted)) % 0.25/0.46 (define @t51 () (tptp.iext tptp.uri_rdf_rest @t50 @t47)) % 0.25/0.46 (define @t52 () (tptp.iext tptp.uri_rdf_first @t50 tptp.uri_ex_hasCousin)) % 0.25/0.46 (define @t53 () (tptp.iext tptp.uri_owl_propertyChainAxiom tptp.uri_ex_hasUncle @t50)) % 0.25/0.46 (define @t54 () (and @t53 @t52 @t51 @t49 @t48 @t46 @t45 @t44 @t42 @t41 @t39 @t37 @t36 @t35 @t34)) % 0.25/0.46 (define @t55 () (@list @t50 @t47 @t43 @t40 @t38)) % 0.25/0.46 (define @t56 () (exists @t55 @t54)) % 0.25/0.46 (define @t57 () (not @t7)) % 0.25/0.46 (define @t58 () (not @t9)) % 0.25/0.46 (define @t59 () (or @t58 @t57 @t4)) % 0.25/0.46 (define @t60 () (= @t18 (and @t15 @t14 @t13 (forall @t11 @t59)))) % 0.25/0.46 (define @t61 () (not @t21)) % 0.25/0.46 (define @t62 () (not @t22)) % 0.25/0.46 (define @t63 () (not @t23)) % 0.25/0.46 (define @t64 () (not @t24)) % 0.25/0.46 (define @t65 () (or @t64 @t63 @t62 @t61)) % 0.25/0.46 (define @t66 () (not @t39)) % 0.25/0.46 (define @t67 () (not @t41)) % 0.25/0.46 (define @t68 () (not @t42)) % 0.25/0.46 (define @t69 () (not @t44)) % 0.25/0.46 (define @t70 () (not @t45)) % 0.25/0.46 (define @t71 () (not @t46)) % 0.25/0.46 (define @t72 () (or @t71 @t70 @t69 @t68 @t67 @t66)) % 0.25/0.46 (define @t73 () (forall (@list @t43 @t40 @t38) @t72)) % 0.25/0.46 (define @t74 () (@quantifiers_skolemize @t73 2)) % 0.25/0.46 (define @t75 () (@quantifiers_skolemize @t73 1)) % 0.25/0.46 (define @t76 () (@quantifiers_skolemize @t73 0)) % 0.25/0.46 (define @t77 () (not @t48)) % 0.25/0.46 (define @t78 () (not @t49)) % 0.25/0.46 (define @t79 () (not @t51)) % 0.25/0.46 (define @t80 () (not @t52)) % 0.25/0.46 (define @t81 () (not @t53)) % 0.25/0.46 (define @t82 () (or @t81 @t80 @t79 @t78 @t77)) % 0.25/0.46 (define @t83 () (forall (@list @t50 @t47) @t82)) % 0.25/0.46 (define @t84 () (not @t34)) % 0.25/0.46 (define @t85 () (not @t35)) % 0.25/0.46 (define @t86 () (not @t36)) % 0.25/0.46 (define @t87 () (not @t37)) % 0.25/0.46 (define @t88 () (or @t87 @t86 @t85 @t84 @t82 @t72)) % 0.25/0.46 (define @t89 () (or @t81 @t80 @t79 @t78 @t77 @t71 @t70 @t69 @t68 @t67 @t66 @t87 @t86 @t85 @t84)) % 0.25/0.46 (define @t90 () (forall @t55 (not @t54))) % 0.25/0.46 (define @t91 () (not @t90)) % 0.25/0.46 (define @t92 () (tptp.iext tptp.uri_rdf_rest @t75 tptp.uri_rdf_nil)) % 0.25/0.46 (define @t93 () (tptp.iext tptp.uri_owl_inverseOf @t74 tptp.uri_ex_hasFather)) % 0.25/0.46 (define @t94 () (not @t93)) % 0.25/0.46 (define @t95 () (not @t92)) % 0.25/0.46 (define @t96 () (tptp.iext tptp.uri_rdf_first @t75 @t74)) % 0.25/0.46 (define @t97 () (not @t96)) % 0.25/0.46 (define @t98 () (tptp.iext tptp.uri_rdf_rest @t76 @t75)) % 0.25/0.46 (define @t99 () (not @t98)) % 0.25/0.46 (define @t100 () (tptp.iext tptp.uri_rdf_first @t76 tptp.uri_ex_hasUncle)) % 0.25/0.46 (define @t101 () (not @t100)) % 0.25/0.46 (define @t102 () (tptp.iext tptp.uri_owl_propertyChainAxiom tptp.uri_ex_hasCousin @t76)) % 0.25/0.46 (define @t103 () (not @t102)) % 0.25/0.46 (define @t104 () (or @t103 @t101 @t99 @t97 @t95 @t94)) % 0.25/0.46 (define @t105 () (@list true)) % 0.25/0.46 (define @t106 () (@list @t104)) % 0.25/0.46 (define @t107 () (forall @t11 (or (not (tptp.iext tptp.uri_ex_hasUncle @t2 @t5)) (not (tptp.iext @t74 @t5 @t1)) (tptp.iext tptp.uri_ex_hasCousin @t2 @t1)))) % 0.25/0.46 (define @t108 () (tptp.ip @t74)) % 0.25/0.46 (define @t109 () (tptp.ip tptp.uri_ex_hasUncle)) % 0.25/0.46 (define @t110 () (tptp.ip tptp.uri_ex_hasCousin)) % 0.25/0.46 (define @t111 () (and @t110 @t109 @t108 @t107)) % 0.25/0.46 (define @t112 () (= @t102 @t111)) % 0.25/0.46 (define @t113 () (or @t101 @t99 @t97 @t95 @t112)) % 0.25/0.46 (define @t114 () (@list false false false false false)) % 0.25/0.46 (define @t115 () (@list false false)) % 0.25/0.46 (define @t116 () (@list false)) % 0.25/0.46 (define @t117 () (forall @t31 (= (tptp.iext @t74 @t29 @t30) (tptp.iext tptp.uri_ex_hasFather @t30 @t29)))) % 0.25/0.46 (define @t118 () (tptp.ip tptp.uri_ex_hasFather)) % 0.25/0.46 (define @t119 () (and @t108 @t118 @t117)) % 0.25/0.46 (define @t120 () (= @t93 @t119)) % 0.25/0.46 (define @t121 () (tptp.iext @t74 tptp.uri_ex_dave tptp.uri_ex_alice)) % 0.25/0.46 (define @t122 () (= @t121 @t37)) % 0.25/0.46 (define @t123 () (= @t37 @t121)) % 0.25/0.46 (define @t124 () (@quantifiers_skolemize @t83 1)) % 0.25/0.46 (define @t125 () (@quantifiers_skolemize @t83 0)) % 0.25/0.46 (define @t126 () (tptp.iext tptp.uri_rdf_rest @t124 tptp.uri_rdf_nil)) % 0.25/0.46 (define @t127 () (not @t126)) % 0.25/0.46 (define @t128 () (tptp.iext tptp.uri_rdf_first @t124 tptp.uri_ex_hasFather)) % 0.25/0.46 (define @t129 () (not @t128)) % 0.25/0.46 (define @t130 () (tptp.iext tptp.uri_rdf_rest @t125 @t124)) % 0.25/0.46 (define @t131 () (not @t130)) % 0.25/0.46 (define @t132 () (tptp.iext tptp.uri_rdf_first @t125 tptp.uri_ex_hasCousin)) % 0.25/0.46 (define @t133 () (not @t132)) % 0.25/0.46 (define @t134 () (tptp.iext tptp.uri_owl_propertyChainAxiom tptp.uri_ex_hasUncle @t125)) % 0.25/0.46 (define @t135 () (not @t134)) % 0.25/0.46 (define @t136 () (or @t135 @t133 @t131 @t129 @t127)) % 0.25/0.46 (define @t137 () (@list @t136)) % 0.25/0.46 (define @t138 () (forall @t11 (or (not (tptp.iext tptp.uri_ex_hasCousin @t2 @t5)) (not (tptp.iext tptp.uri_ex_hasFather @t5 @t1)) (tptp.iext tptp.uri_ex_hasUncle @t2 @t1)))) % 0.25/0.46 (define @t139 () (and @t109 @t110 @t118 @t138)) % 0.25/0.46 (define @t140 () (= @t134 @t139)) % 0.25/0.46 (define @t141 () (or @t133 @t131 @t129 @t127 @t140)) % 0.25/0.46 (define @t142 () (or @t86 @t85 @t33)) % 0.25/0.46 (define @t143 () (not @t121)) % 0.25/0.46 (define @t144 () (or @t84 @t143 @t32)) % 0.25/0.46 (define @t145 () (not @t144)) % 0.25/0.46 (assume @p1 @t28) % 0.25/0.46 (assume @p2 (forall (@list @t8 @t6) (= (tptp.iext tptp.uri_owl_inverseOf @t8 @t6) (and @t14 @t13 (forall @t31 (= (tptp.iext @t8 @t29 @t30) (tptp.iext @t6 @t30 @t29))))))) % 0.25/0.46 (assume @p3 (not (and @t33 @t32))) % 0.25/0.46 (assume @p4 @t56) % 0.25/0.46 (assume @p5 true) % 0.25/0.46 (step @p6 :rule aci_norm :args ((= (or @t65 @t60) (or @t64 @t63 @t62 @t61 @t60)))) % 0.25/0.46 (step @p7 :rule refl :args (@t60)) % 0.25/0.46 (step @p8 :rule aci_norm :args ((= (or @t64 (or @t63 (or @t62 @t61))) @t65))) % 0.25/0.46 (step @p9 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.25/0.46 (step @p10 :rule refl :args (@t63)) % 0.25/0.46 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((or @t63 (not (and @t22 @t21))))) % 0.25/0.46 (step @p12 :rule bool-and-de-morgan :args (@t23 @t22 (and @t21))) % 0.25/0.46 (step @p13 :rule trans :premises (@p12 @p11)) % 0.25/0.46 (step @p14 :rule refl :args (@t64)) % 0.25/0.46 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or @t64 (not (and @t23 @t22 @t21))))) % 0.25/0.46 (step @p16 :rule bool-and-de-morgan :args (@t24 @t23 (and @t22 @t21))) % 0.25/0.46 (step @p17 :rule trans :premises (@p16 @p15)) % 0.25/0.46 (step @p18 :rule trans :premises (@p17 @p8)) % 0.25/0.46 (step @p19 :rule nary_cong :premises (@p18 @p7) :args ((or (not @t25) @t60))) % 0.25/0.46 (step @p20 :rule trans :premises (@p19 @p6)) % 0.25/0.46 (step @p21 :rule bool-impl-elim :args (@t25 @t60)) % 0.25/0.46 (step @p22 :rule trans :premises (@p21 @p20)) % 0.25/0.46 (step @p23 :rule cong :premises (@p22) :args ((forall @t27 (=> @t25 @t60)))) % 0.25/0.46 (step @p24 :rule aci_norm :args ((= (or (or @t58 @t57) @t4) @t59))) % 0.25/0.46 (step @p25 :rule refl :args (@t4)) % 0.25/0.46 (step @p26 :rule bool-and-de-morgan :args (@t9 @t7 true)) % 0.25/0.46 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or (not @t10) @t4))) % 0.25/0.46 (step @p28 :rule trans :premises (@p27 @p24)) % 0.25/0.46 (step @p29 :rule bool-impl-elim :args (@t10 @t4)) % 0.25/0.46 (step @p30 :rule trans :premises (@p29 @p28)) % 0.25/0.46 (step @p31 :rule cong :premises (@p30) :args (@t12)) % 0.25/0.46 (step @p32 :rule refl :args (@t13)) % 0.25/0.46 (step @p33 :rule refl :args (@t14)) % 0.25/0.46 (step @p34 :rule refl :args (@t15)) % 0.25/0.46 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32 @p31) :args (@t16)) % 0.25/0.46 (step @p36 :rule refl :args (@t18)) % 0.25/0.46 (step @p37 :rule cong :premises (@p36 @p35) :args (@t19)) % 0.25/0.46 (step @p38 :rule refl :args (@t25)) % 0.25/0.46 (step @p39 :rule cong :premises (@p38 @p37) :args (@t26)) % 0.25/0.46 (step @p40 :rule cong :premises (@p39) :args (@t28)) % 0.25/0.46 (step @p41 :rule trans :premises (@p40 @p23)) % 0.25/0.46 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.25/0.46 (step @p43 :rule instantiate :premises (@p42) :args ((@list tptp.uri_ex_hasCousin @t76 tptp.uri_ex_hasUncle @t75 @t74))) % 0.25/0.46 (step @p44 :rule quant-miniscope-or :args ((= (forall @t55 @t88) (or @t87 @t86 @t85 @t84 @t83 @t73)))) % 0.25/0.46 (step @p45 :rule aci_norm :args ((= @t89 @t88))) % 0.25/0.46 (step @p46 :rule cong :premises (@p45) :args ((forall @t55 @t89))) % 0.25/0.46 (step @p47 :rule trans :premises (@p46 @p44)) % 0.25/0.46 (step @p48 :rule aci_norm :args ((= (or @t81 (or @t80 (or @t79 (or @t78 (or @t77 (or @t71 (or @t70 (or @t69 (or @t68 (or @t67 (or @t66 (or @t87 (or @t86 (or @t85 @t84)))))))))))))) @t89))) % 0.25/0.46 (step @p49 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.25/0.46 (step @p50 :rule refl :args (@t86)) % 0.25/0.46 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t86 (not (and @t35 @t34))))) % 0.25/0.46 (step @p52 :rule bool-and-de-morgan :args (@t36 @t35 (and @t34))) % 0.25/0.46 (step @p53 :rule trans :premises (@p52 @p51)) % 0.25/0.46 (step @p54 :rule refl :args (@t87)) % 0.25/0.46 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t87 (not (and @t36 @t35 @t34))))) % 0.25/0.46 (step @p56 :rule bool-and-de-morgan :args (@t37 @t36 (and @t35 @t34))) % 0.25/0.46 (step @p57 :rule trans :premises (@p56 @p55)) % 0.25/0.46 (step @p58 :rule refl :args (@t66)) % 0.25/0.46 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t66 (not (and @t37 @t36 @t35 @t34))))) % 0.25/0.46 (step @p60 :rule bool-and-de-morgan :args (@t39 @t37 (and @t36 @t35 @t34))) % 0.25/0.46 (step @p61 :rule trans :premises (@p60 @p59)) % 0.25/0.46 (step @p62 :rule refl :args (@t67)) % 0.25/0.46 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t67 (not (and @t39 @t37 @t36 @t35 @t34))))) % 0.25/0.46 (step @p64 :rule bool-and-de-morgan :args (@t41 @t39 (and @t37 @t36 @t35 @t34))) % 0.25/0.46 (step @p65 :rule trans :premises (@p64 @p63)) % 0.25/0.46 (step @p66 :rule refl :args (@t68)) % 0.25/0.46 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t68 (not (and @t41 @t39 @t37 @t36 @t35 @t34))))) % 0.25/0.46 (step @p68 :rule bool-and-de-morgan :args (@t42 @t41 (and @t39 @t37 @t36 @t35 @t34))) % 0.25/0.46 (step @p69 :rule trans :premises (@p68 @p67)) % 0.25/0.46 (step @p70 :rule refl :args (@t69)) % 0.25/0.46 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t69 (not (and @t42 @t41 @t39 @t37 @t36 @t35 @t34))))) % 0.25/0.46 (step @p72 :rule bool-and-de-morgan :args (@t44 @t42 (and @t41 @t39 @t37 @t36 @t35 @t34))) % 0.25/0.46 (step @p73 :rule trans :premises (@p72 @p71)) % 0.25/0.46 (step @p74 :rule refl :args (@t70)) % 0.25/0.46 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t70 (not (and @t44 @t42 @t41 @t39 @t37 @t36 @t35 @t34))))) % 0.25/0.46 (step @p76 :rule bool-and-de-morgan :args (@t45 @t44 (and @t42 @t41 @t39 @t37 @t36 @t35 @t34))) % 0.25/0.46 (step @p77 :rule trans :premises (@p76 @p75)) % 0.25/0.46 (step @p78 :rule refl :args (@t71)) % 0.25/0.46 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t71 (not (and @t45 @t44 @t42 @t41 @t39 @t37 @t36 @t35 @t34))))) % 0.25/0.46 (step @p80 :rule bool-and-de-morgan :args (@t46 @t45 (and @t44 @t42 @t41 @t39 @t37 @t36 @t35 @t34))) % 0.25/0.46 (step @p81 :rule trans :premises (@p80 @p79)) % 0.25/0.46 (step @p82 :rule refl :args (@t77)) % 0.25/0.46 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t77 (not (and @t46 @t45 @t44 @t42 @t41 @t39 @t37 @t36 @t35 @t34))))) % 0.25/0.46 (step @p84 :rule bool-and-de-morgan :args (@t48 @t46 (and @t45 @t44 @t42 @t41 @t39 @t37 @t36 @t35 @t34))) % 0.25/0.46 (step @p85 :rule trans :premises (@p84 @p83)) % 0.25/0.46 (step @p86 :rule refl :args (@t78)) % 0.25/0.46 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t78 (not (and @t48 @t46 @t45 @t44 @t42 @t41 @t39 @t37 @t36 @t35 @t34))))) % 0.25/0.46 (step @p88 :rule bool-and-de-morgan :args (@t49 @t48 (and @t46 @t45 @t44 @t42 @t41 @t39 @t37 @t36 @t35 @t34))) % 0.25/0.46 (step @p89 :rule trans :premises (@p88 @p87)) % 0.25/0.46 (step @p90 :rule refl :args (@t79)) % 0.25/0.46 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t79 (not (and @t49 @t48 @t46 @t45 @t44 @t42 @t41 @t39 @t37 @t36 @t35 @t34))))) % 0.25/0.46 (step @p92 :rule bool-and-de-morgan :args (@t51 @t49 (and @t48 @t46 @t45 @t44 @t42 @t41 @t39 @t37 @t36 @t35 @t34))) % 0.25/0.46 (step @p93 :rule trans :premises (@p92 @p91)) % 0.25/0.46 (step @p94 :rule refl :args (@t80)) % 0.25/0.46 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t80 (not (and @t51 @t49 @t48 @t46 @t45 @t44 @t42 @t41 @t39 @t37 @t36 @t35 @t34))))) % 0.25/0.46 (step @p96 :rule bool-and-de-morgan :args (@t52 @t51 (and @t49 @t48 @t46 @t45 @t44 @t42 @t41 @t39 @t37 @t36 @t35 @t34))) % 0.25/0.46 (step @p97 :rule trans :premises (@p96 @p95)) % 0.25/0.46 (step @p98 :rule refl :args (@t81)) % 0.25/0.46 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t81 (not (and @t52 @t51 @t49 @t48 @t46 @t45 @t44 @t42 @t41 @t39 @t37 @t36 @t35 @t34))))) % 0.25/0.46 (step @p100 :rule bool-and-de-morgan :args (@t53 @t52 (and @t51 @t49 @t48 @t46 @t45 @t44 @t42 @t41 @t39 @t37 @t36 @t35 @t34))) % 0.25/0.46 (step @p101 :rule trans :premises (@p100 @p99)) % 0.25/0.46 (step @p102 :rule trans :premises (@p101 @p48)) % 0.25/0.46 (step @p103 :rule cong :premises (@p102) :args (@t90)) % 0.25/0.46 (step @p104 :rule trans :premises (@p103 @p47)) % 0.25/0.46 (step @p105 :rule cong :premises (@p104) :args (@t91)) % 0.25/0.46 (step @p106 :rule exists-elim :args ((= @t56 @t91))) % 0.25/0.46 (step @p107 :rule trans :premises (@p106 @p105)) % 0.25/0.46 (step @p108 :rule eq_resolve :premises (@p4 @p107)) % 0.25/0.46 (step @p109 :rule not_or_elim :premises (@p108) :args (5)) % 0.25/0.46 (step @p110 :rule skolemize :premises (@p109)) % 0.25/0.46 (step @p111 :rule bool-double-not-elim :args (@t92)) % 0.25/0.46 (step @p112 :rule refl :args (@t104)) % 0.25/0.46 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t104 (not @t95)))) % 0.25/0.46 (step @p114 :rule cnf_or_neg :args (@t104 4)) % 0.25/0.46 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.25/0.46 (step @p116 :rule reordering :premises (@p115) :args ((or @t92 @t104))) % 0.25/0.46 (step @p117 :rule chain_m_resolution :premises (@p116 @p110) :args (@t92 @t105 @t106)) % 0.25/0.46 (step @p118 :rule bool-double-not-elim :args (@t96)) % 0.25/0.46 (step @p119 :rule nary_cong :premises (@p112 @p118) :args ((or @t104 (not @t97)))) % 0.25/0.46 (step @p120 :rule cnf_or_neg :args (@t104 3)) % 0.25/0.46 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 0.25/0.46 (step @p122 :rule reordering :premises (@p121) :args ((or @t96 @t104))) % 0.25/0.46 (step @p123 :rule chain_m_resolution :premises (@p122 @p110) :args (@t96 @t105 @t106)) % 0.25/0.46 (step @p124 :rule bool-double-not-elim :args (@t98)) % 0.25/0.46 (step @p125 :rule nary_cong :premises (@p112 @p124) :args ((or @t104 (not @t99)))) % 0.25/0.46 (step @p126 :rule cnf_or_neg :args (@t104 2)) % 0.25/0.46 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 0.25/0.46 (step @p128 :rule reordering :premises (@p127) :args ((or @t98 @t104))) % 0.25/0.46 (step @p129 :rule chain_m_resolution :premises (@p128 @p110) :args (@t98 @t105 @t106)) % 0.25/0.46 (step @p130 :rule bool-double-not-elim :args (@t100)) % 0.25/0.46 (step @p131 :rule nary_cong :premises (@p112 @p130) :args ((or @t104 (not @t101)))) % 0.25/0.46 (step @p132 :rule cnf_or_neg :args (@t104 1)) % 0.25/0.46 (step @p133 :rule eq_resolve :premises (@p132 @p131)) % 0.25/0.46 (step @p134 :rule reordering :premises (@p133) :args ((or @t100 @t104))) % 0.25/0.46 (step @p135 :rule chain_m_resolution :premises (@p134 @p110) :args (@t100 @t105 @t106)) % 0.25/0.46 (step @p136 :rule cnf_or_pos :args (@t113)) % 0.25/0.46 (step @p137 :rule reordering :premises (@p136) :args ((or @t101 @t99 @t97 @t95 @t112 (not @t113)))) % 0.25/0.46 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p129 @p123 @p117 @p43) :args (@t112 @t114 (@list @t100 @t98 @t96 @t92 @t113))) % 0.25/0.46 (step @p139 :rule bool-double-not-elim :args (@t102)) % 0.25/0.46 (step @p140 :rule nary_cong :premises (@p112 @p139) :args ((or @t104 (not @t103)))) % 0.25/0.46 (step @p141 :rule cnf_or_neg :args (@t104 0)) % 0.25/0.46 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 0.25/0.46 (step @p143 :rule reordering :premises (@p142) :args ((or @t102 @t104))) % 0.25/0.46 (step @p144 :rule chain_m_resolution :premises (@p143 @p110) :args (@t102 @t105 @t106)) % 0.25/0.46 (step @p145 :rule cnf_equiv_pos1 :args (@t112)) % 0.25/0.46 (step @p146 :rule reordering :premises (@p145) :args ((or @t103 @t111 (not @t112)))) % 0.25/0.46 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p138) :args (@t111 @t115 (@list @t102 @t112))) % 0.25/0.46 (step @p148 :rule cnf_and_pos :args (@t111 3)) % 0.25/0.46 (step @p149 :rule reordering :premises (@p148) :args ((or @t107 (not @t111)))) % 0.25/0.46 (step @p150 :rule chain_m_resolution :premises (@p149 @p147) :args (@t107 @t116 (@list @t111))) % 0.25/0.46 (step @p151 :rule instantiate :premises (@p2) :args ((@list @t74 tptp.uri_ex_hasFather))) % 0.25/0.46 (step @p152 :rule bool-double-not-elim :args (@t93)) % 0.25/0.46 (step @p153 :rule nary_cong :premises (@p112 @p152) :args ((or @t104 (not @t94)))) % 0.25/0.46 (step @p154 :rule cnf_or_neg :args (@t104 5)) % 0.25/0.46 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 0.25/0.46 (step @p156 :rule reordering :premises (@p155) :args ((or @t93 @t104))) % 0.25/0.46 (step @p157 :rule chain_m_resolution :premises (@p156 @p110) :args (@t93 @t105 @t106)) % 0.25/0.46 (step @p158 :rule cnf_equiv_pos1 :args (@t120)) % 0.25/0.46 (step @p159 :rule reordering :premises (@p158) :args ((or @t94 @t119 (not @t120)))) % 0.25/0.46 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p151) :args (@t119 @t115 (@list @t93 @t120))) % 0.25/0.46 (step @p161 :rule cnf_and_pos :args (@t119 2)) % 0.25/0.46 (step @p162 :rule reordering :premises (@p161) :args ((or @t117 (not @t119)))) % 0.25/0.46 (step @p163 :rule chain_m_resolution :premises (@p162 @p160) :args (@t117 @t116 (@list @t119))) % 0.25/0.46 (step @p164 :rule eq-symm :args (@t121 @t37)) % 0.25/0.46 (step @p165 :rule refl :args (@t117)) % 0.25/0.46 (step @p166 :rule cong :premises (@p165 @p164) :args ((=> @t117 @t122))) % 0.25/0.46 (assume-push @p243 @t117) % 0.25/0.46 (step @p168 :rule instantiate :premises (@p163) :args ((@list tptp.uri_ex_dave tptp.uri_ex_alice))) % 0.25/0.46 (step-pop @p244 :rule scope :premises (@p168)) % 0.25/0.46 (step @p169 :rule process_scope :premises (@p244) :args (@t122)) % 0.25/0.46 (step @p171 :rule eq_resolve :premises (@p169 @p166)) % 0.25/0.46 (step @p172 :rule implies_elim :premises (@p171)) % 0.25/0.46 (step @p173 :rule chain_m_resolution :premises (@p172 @p163) :args (@t123 @t116 (@list @t117))) % 0.25/0.46 (step @p174 :rule not_or_elim :premises (@p108) :args (0)) % 0.25/0.46 (step @p175 :rule not_not_elim :premises (@p174)) % 0.25/0.46 (step @p176 :rule cnf_equiv_pos1 :args (@t123)) % 0.25/0.46 (step @p177 :rule reordering :premises (@p176) :args ((or @t87 @t121 (not @t123)))) % 0.25/0.46 (step @p178 :rule chain_m_resolution :premises (@p177 @p175 @p173) :args (@t121 @t115 (@list @t37 @t123))) % 0.25/0.46 (step @p179 :rule not_or_elim :premises (@p108) :args (3)) % 0.25/0.46 (step @p180 :rule not_not_elim :premises (@p179)) % 0.25/0.46 (step @p181 :rule instantiate :premises (@p42) :args ((@list tptp.uri_ex_hasUncle @t125 tptp.uri_ex_hasCousin @t124 tptp.uri_ex_hasFather))) % 0.25/0.46 (step @p182 :rule not_or_elim :premises (@p108) :args (4)) % 0.25/0.46 (step @p183 :rule skolemize :premises (@p182)) % 0.25/0.46 (step @p184 :rule bool-double-not-elim :args (@t126)) % 0.25/0.46 (step @p185 :rule refl :args (@t136)) % 0.25/0.46 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((or @t136 (not @t127)))) % 0.25/0.46 (step @p187 :rule cnf_or_neg :args (@t136 4)) % 0.25/0.46 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 0.25/0.46 (step @p189 :rule reordering :premises (@p188) :args ((or @t126 @t136))) % 0.25/0.46 (step @p190 :rule chain_m_resolution :premises (@p189 @p183) :args (@t126 @t105 @t137)) % 0.25/0.46 (step @p191 :rule bool-double-not-elim :args (@t128)) % 0.25/0.46 (step @p192 :rule nary_cong :premises (@p185 @p191) :args ((or @t136 (not @t129)))) % 0.25/0.46 (step @p193 :rule cnf_or_neg :args (@t136 3)) % 0.25/0.46 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 0.25/0.46 (step @p195 :rule reordering :premises (@p194) :args ((or @t128 @t136))) % 0.25/0.46 (step @p196 :rule chain_m_resolution :premises (@p195 @p183) :args (@t128 @t105 @t137)) % 0.25/0.46 (step @p197 :rule bool-double-not-elim :args (@t130)) % 0.25/0.46 (step @p198 :rule nary_cong :premises (@p185 @p197) :args ((or @t136 (not @t131)))) % 0.25/0.46 (step @p199 :rule cnf_or_neg :args (@t136 2)) % 0.25/0.46 (step @p200 :rule eq_resolve :premises (@p199 @p198)) % 0.25/0.46 (step @p201 :rule reordering :premises (@p200) :args ((or @t130 @t136))) % 0.25/0.46 (step @p202 :rule chain_m_resolution :premises (@p201 @p183) :args (@t130 @t105 @t137)) % 0.25/0.46 (step @p203 :rule bool-double-not-elim :args (@t132)) % 0.25/0.46 (step @p204 :rule nary_cong :premises (@p185 @p203) :args ((or @t136 (not @t133)))) % 0.25/0.46 (step @p205 :rule cnf_or_neg :args (@t136 1)) % 0.25/0.46 (step @p206 :rule eq_resolve :premises (@p205 @p204)) % 0.25/0.46 (step @p207 :rule reordering :premises (@p206) :args ((or @t132 @t136))) % 0.25/0.46 (step @p208 :rule chain_m_resolution :premises (@p207 @p183) :args (@t132 @t105 @t137)) % 0.25/0.46 (step @p209 :rule cnf_or_pos :args (@t141)) % 0.25/0.46 (step @p210 :rule reordering :premises (@p209) :args ((or @t133 @t131 @t129 @t127 @t140 (not @t141)))) % 0.25/0.46 (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p202 @p196 @p190 @p181) :args (@t140 @t114 (@list @t132 @t130 @t128 @t126 @t141))) % 0.25/0.46 (step @p212 :rule bool-double-not-elim :args (@t134)) % 0.25/0.46 (step @p213 :rule nary_cong :premises (@p185 @p212) :args ((or @t136 (not @t135)))) % 0.25/0.46 (step @p214 :rule cnf_or_neg :args (@t136 0)) % 0.25/0.46 (step @p215 :rule eq_resolve :premises (@p214 @p213)) % 0.25/0.46 (step @p216 :rule reordering :premises (@p215) :args ((or @t134 @t136))) % 0.25/0.46 (step @p217 :rule chain_m_resolution :premises (@p216 @p183) :args (@t134 @t105 @t137)) % 0.25/0.46 (step @p218 :rule cnf_equiv_pos1 :args (@t140)) % 0.25/0.46 (step @p219 :rule reordering :premises (@p218) :args ((or @t135 @t139 (not @t140)))) % 0.25/0.46 (step @p220 :rule chain_m_resolution :premises (@p219 @p217 @p211) :args (@t139 @t115 (@list @t134 @t140))) % 0.25/0.46 (step @p221 :rule cnf_and_pos :args (@t139 3)) % 0.25/0.46 (step @p222 :rule reordering :premises (@p221) :args ((or @t138 (not @t139)))) % 0.25/0.46 (step @p223 :rule chain_m_resolution :premises (@p222 @p220) :args (@t138 @t116 (@list @t139))) % 0.25/0.46 (step @p224 :rule instantiate :premises (@p223) :args ((@list tptp.uri_ex_alice tptp.uri_ex_bob tptp.uri_ex_charly))) % 0.25/0.46 (step @p225 :rule not_or_elim :premises (@p108) :args (2)) % 0.25/0.46 (step @p226 :rule not_not_elim :premises (@p225)) % 0.25/0.46 (step @p227 :rule not_or_elim :premises (@p108) :args (1)) % 0.25/0.46 (step @p228 :rule not_not_elim :premises (@p227)) % 0.25/0.46 (step @p229 :rule cnf_or_pos :args (@t142)) % 0.25/0.46 (step @p230 :rule reordering :premises (@p229) :args ((or @t33 @t86 @t85 (not @t142)))) % 0.25/0.46 (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p226 @p224) :args (@t33 (@list false false false) (@list @t36 @t35 @t142))) % 0.25/0.46 (step @p232 :rule not_and :premises (@p3)) % 0.25/0.46 (step @p233 :rule chain_m_resolution :premises (@p232 @p231) :args ((not @t32) @t116 (@list @t33))) % 0.25/0.46 (step @p234 :rule cnf_or_pos :args (@t144)) % 0.25/0.46 (step @p235 :rule reordering :premises (@p234) :args ((or @t32 @t84 @t143 @t145))) % 0.25/0.46 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p180 @p178) :args (@t145 (@list true false false) (@list @t32 @t34 @t121))) % 0.25/0.46 (assume-push @p245 @t107) % 0.25/0.46 (step @p238 :rule instantiate :premises (@p150) :args ((@list tptp.uri_ex_bob tptp.uri_ex_dave tptp.uri_ex_alice))) % 0.25/0.46 (step-pop @p246 :rule scope :premises (@p238)) % 0.25/0.46 (step @p239 :rule process_scope :premises (@p246) :args (@t144)) % 0.25/0.46 (step @p241 :rule implies_elim :premises (@p239)) % 0.25/0.46 (step @p242 false :rule chain_m_resolution :premises (@p241 @p236 @p150) :args (false (@list true false) (@list @t144 @t107))) % 0.25/0.46 ) % 0.25/0.46 % SZS output end Proof % 0.25/0.46 % cvc5 exiting %------------------------------------------------------------------------------