%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWB027+2 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:57:13 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB027+2 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 18:57:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.uri_ex_p $$unsorted) % 0.37/0.59 (declare-const tptp.uri_owl_inverseOf $$unsorted) % 0.37/0.59 (declare-const tptp.uri_owl_InverseFunctionalProperty $$unsorted) % 0.37/0.59 (declare-const tptp.uri_rdf_first $$unsorted) % 0.37/0.59 (declare-const tptp.uri_rdf_nil $$unsorted) % 0.37/0.59 (declare-const tptp.ip (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.uri_owl_sameAs $$unsorted) % 0.37/0.59 (declare-const tptp.uri_rdf_rest $$unsorted) % 0.37/0.59 (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.uri_rdf_type $$unsorted) % 0.37/0.59 (declare-const tptp.uri_owl_propertyChainAxiom $$unsorted) % 0.37/0.59 (declare-const tptp.icext (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.59 (define @t2 () (@var "C" $$unsorted)) % 0.37/0.59 (define @t3 () (@var "Y" $$unsorted)) % 0.37/0.59 (define @t4 () (@list @t1 @t3)) % 0.37/0.59 (define @t5 () (forall @t4 (= (tptp.iext tptp.uri_owl_sameAs @t1 @t3) (= @t1 @t3)))) % 0.37/0.59 (define @t6 () (@var "Y2" $$unsorted)) % 0.37/0.59 (define @t7 () (@var "Y0" $$unsorted)) % 0.37/0.59 (define @t8 () (@var "P" $$unsorted)) % 0.37/0.59 (define @t9 () (tptp.iext @t8 @t7 @t6)) % 0.37/0.59 (define @t10 () (@var "Y1" $$unsorted)) % 0.37/0.59 (define @t11 () (@var "P2" $$unsorted)) % 0.37/0.59 (define @t12 () (tptp.iext @t11 @t10 @t6)) % 0.37/0.59 (define @t13 () (@var "P1" $$unsorted)) % 0.37/0.59 (define @t14 () (tptp.iext @t13 @t7 @t10)) % 0.37/0.59 (define @t15 () (and @t14 @t12)) % 0.37/0.59 (define @t16 () (@list @t7 @t10 @t6)) % 0.37/0.59 (define @t17 () (forall @t16 (=> @t15 @t9))) % 0.37/0.59 (define @t18 () (tptp.ip @t11)) % 0.37/0.59 (define @t19 () (tptp.ip @t13)) % 0.37/0.59 (define @t20 () (tptp.ip @t8)) % 0.37/0.59 (define @t21 () (and @t20 @t19 @t18 @t17)) % 0.37/0.59 (define @t22 () (@var "S1" $$unsorted)) % 0.37/0.59 (define @t23 () (tptp.iext tptp.uri_owl_propertyChainAxiom @t8 @t22)) % 0.37/0.59 (define @t24 () (= @t23 @t21)) % 0.37/0.59 (define @t25 () (@var "S2" $$unsorted)) % 0.37/0.59 (define @t26 () (tptp.iext tptp.uri_rdf_rest @t25 tptp.uri_rdf_nil)) % 0.37/0.59 (define @t27 () (tptp.iext tptp.uri_rdf_first @t25 @t11)) % 0.37/0.59 (define @t28 () (tptp.iext tptp.uri_rdf_rest @t22 @t25)) % 0.37/0.59 (define @t29 () (tptp.iext tptp.uri_rdf_first @t22 @t13)) % 0.37/0.59 (define @t30 () (and @t29 @t28 @t27 @t26)) % 0.37/0.59 (define @t31 () (=> @t30 @t24)) % 0.37/0.59 (define @t32 () (@list @t8 @t22 @t13 @t25 @t11)) % 0.37/0.59 (define @t33 () (forall @t32 @t31)) % 0.37/0.59 (define @t34 () (@var "X2" $$unsorted)) % 0.37/0.59 (define @t35 () (@var "X1" $$unsorted)) % 0.37/0.59 (define @t36 () (= @t35 @t34)) % 0.37/0.59 (define @t37 () (tptp.iext @t8 @t34 @t3)) % 0.37/0.59 (define @t38 () (tptp.iext @t8 @t35 @t3)) % 0.37/0.59 (define @t39 () (and @t38 @t37)) % 0.37/0.59 (define @t40 () (@list @t35 @t34 @t3)) % 0.37/0.59 (define @t41 () (forall @t40 (=> @t39 @t36))) % 0.37/0.59 (define @t42 () (and @t20 @t41)) % 0.37/0.59 (define @t43 () (tptp.icext tptp.uri_owl_InverseFunctionalProperty @t8)) % 0.37/0.59 (define @t44 () (= @t43 @t42)) % 0.37/0.59 (define @t45 () (forall (@list @t8) @t44)) % 0.37/0.59 (define @t46 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_p tptp.uri_owl_InverseFunctionalProperty)) % 0.37/0.59 (define @t47 () (@var "BNODE_v" $$unsorted)) % 0.37/0.59 (define @t48 () (tptp.iext tptp.uri_owl_inverseOf @t47 tptp.uri_ex_p)) % 0.37/0.59 (define @t49 () (@var "BNODE_l2" $$unsorted)) % 0.37/0.59 (define @t50 () (tptp.iext tptp.uri_rdf_rest @t49 tptp.uri_rdf_nil)) % 0.37/0.59 (define @t51 () (tptp.iext tptp.uri_rdf_first @t49 @t47)) % 0.37/0.59 (define @t52 () (@var "BNODE_l1" $$unsorted)) % 0.37/0.59 (define @t53 () (tptp.iext tptp.uri_rdf_rest @t52 @t49)) % 0.37/0.59 (define @t54 () (tptp.iext tptp.uri_rdf_first @t52 tptp.uri_ex_p)) % 0.37/0.59 (define @t55 () (tptp.iext tptp.uri_owl_propertyChainAxiom tptp.uri_owl_sameAs @t52)) % 0.37/0.59 (define @t56 () (and @t55 @t54 @t53 @t51 @t50 @t48)) % 0.37/0.59 (define @t57 () (@list @t52 @t49 @t47)) % 0.37/0.59 (define @t58 () (exists @t57 @t56)) % 0.37/0.59 (define @t59 () (not @t12)) % 0.37/0.59 (define @t60 () (not @t14)) % 0.37/0.59 (define @t61 () (or @t60 @t59 @t9)) % 0.37/0.59 (define @t62 () (= @t23 (and @t20 @t19 @t18 (forall @t16 @t61)))) % 0.37/0.59 (define @t63 () (not @t26)) % 0.37/0.59 (define @t64 () (not @t27)) % 0.37/0.59 (define @t65 () (not @t28)) % 0.37/0.59 (define @t66 () (not @t29)) % 0.37/0.59 (define @t67 () (or @t66 @t65 @t64 @t63)) % 0.37/0.59 (define @t68 () (not @t48)) % 0.37/0.59 (define @t69 () (not @t50)) % 0.37/0.59 (define @t70 () (not @t51)) % 0.37/0.59 (define @t71 () (not @t53)) % 0.37/0.59 (define @t72 () (not @t54)) % 0.37/0.59 (define @t73 () (not @t55)) % 0.37/0.59 (define @t74 () (or @t73 @t72 @t71 @t70 @t69 @t68)) % 0.37/0.59 (define @t75 () (forall @t57 @t74)) % 0.37/0.59 (define @t76 () (@quantifiers_skolemize @t75 2)) % 0.37/0.59 (define @t77 () (@quantifiers_skolemize @t75 1)) % 0.37/0.59 (define @t78 () (@quantifiers_skolemize @t75 0)) % 0.37/0.59 (define @t79 () (forall @t57 (not @t56))) % 0.37/0.59 (define @t80 () (not @t79)) % 0.37/0.59 (define @t81 () (tptp.iext tptp.uri_rdf_rest @t77 tptp.uri_rdf_nil)) % 0.37/0.59 (define @t82 () (tptp.iext tptp.uri_owl_inverseOf @t76 tptp.uri_ex_p)) % 0.37/0.59 (define @t83 () (not @t82)) % 0.37/0.59 (define @t84 () (not @t81)) % 0.37/0.59 (define @t85 () (tptp.iext tptp.uri_rdf_first @t77 @t76)) % 0.37/0.59 (define @t86 () (not @t85)) % 0.37/0.59 (define @t87 () (tptp.iext tptp.uri_rdf_rest @t78 @t77)) % 0.37/0.59 (define @t88 () (not @t87)) % 0.37/0.59 (define @t89 () (tptp.iext tptp.uri_rdf_first @t78 tptp.uri_ex_p)) % 0.37/0.59 (define @t90 () (not @t89)) % 0.37/0.59 (define @t91 () (tptp.iext tptp.uri_owl_propertyChainAxiom tptp.uri_owl_sameAs @t78)) % 0.37/0.59 (define @t92 () (not @t91)) % 0.37/0.59 (define @t93 () (or @t92 @t90 @t88 @t86 @t84 @t83)) % 0.37/0.59 (define @t94 () (@list true)) % 0.37/0.59 (define @t95 () (@list @t93)) % 0.37/0.59 (define @t96 () (forall @t16 (or (not (tptp.iext tptp.uri_ex_p @t7 @t10)) (not (tptp.iext @t76 @t10 @t6)) (tptp.iext tptp.uri_owl_sameAs @t7 @t6)))) % 0.37/0.59 (define @t97 () (tptp.ip @t76)) % 0.37/0.59 (define @t98 () (tptp.ip tptp.uri_ex_p)) % 0.37/0.59 (define @t99 () (and (tptp.ip tptp.uri_owl_sameAs) @t98 @t97 @t96)) % 0.37/0.59 (define @t100 () (= @t91 @t99)) % 0.37/0.59 (define @t101 () (or @t90 @t88 @t86 @t84 @t100)) % 0.37/0.59 (define @t102 () (@list false false)) % 0.37/0.59 (define @t103 () (@list false)) % 0.37/0.59 (define @t104 () (forall @t40 (or (not (tptp.iext tptp.uri_ex_p @t35 @t3)) (not (tptp.iext tptp.uri_ex_p @t34 @t3)) @t36))) % 0.37/0.59 (define @t105 () (@quantifiers_skolemize @t104 1)) % 0.37/0.59 (define @t106 () (@quantifiers_skolemize @t104 2)) % 0.37/0.59 (define @t107 () (@quantifiers_skolemize @t104 0)) % 0.37/0.59 (define @t108 () (forall @t4 (= (tptp.iext @t76 @t1 @t3) (tptp.iext tptp.uri_ex_p @t3 @t1)))) % 0.37/0.59 (define @t109 () (and @t97 @t98 @t108)) % 0.37/0.59 (define @t110 () (= @t82 @t109)) % 0.37/0.59 (define @t111 () (not @t109)) % 0.37/0.59 (define @t112 () (@list @t109)) % 0.37/0.59 (define @t113 () (tptp.iext @t76 @t106 @t105)) % 0.37/0.59 (define @t114 () (tptp.iext tptp.uri_ex_p @t105 @t106)) % 0.37/0.59 (define @t115 () (= @t113 @t114)) % 0.37/0.59 (define @t116 () (= @t114 @t113)) % 0.37/0.59 (define @t117 () (not @t37)) % 0.37/0.59 (define @t118 () (not @t38)) % 0.37/0.59 (define @t119 () (tptp.icext tptp.uri_owl_InverseFunctionalProperty tptp.uri_ex_p)) % 0.37/0.59 (define @t120 () (= @t46 @t119)) % 0.37/0.59 (define @t121 () (not @t119)) % 0.37/0.59 (define @t122 () (@list true false)) % 0.37/0.59 (define @t123 () (and @t98 @t104)) % 0.37/0.59 (define @t124 () (= @t119 @t123)) % 0.37/0.59 (define @t125 () (not @t123)) % 0.37/0.59 (define @t126 () (not @t104)) % 0.37/0.59 (define @t127 () (= @t107 @t105)) % 0.37/0.59 (define @t128 () (not @t114)) % 0.37/0.59 (define @t129 () (tptp.iext tptp.uri_ex_p @t107 @t106)) % 0.37/0.59 (define @t130 () (not @t129)) % 0.37/0.59 (define @t131 () (or @t130 @t128 @t127)) % 0.37/0.59 (define @t132 () (@list @t131)) % 0.37/0.59 (define @t133 () (tptp.iext tptp.uri_owl_sameAs @t107 @t105)) % 0.37/0.59 (define @t134 () (not @t113)) % 0.37/0.59 (define @t135 () (or @t130 @t134 @t133)) % 0.37/0.59 (define @t136 () (= @t127 @t133)) % 0.37/0.59 (define @t137 () (not @t136)) % 0.37/0.59 (define @t138 () (= @t133 @t127)) % 0.37/0.59 (assume @p1 (forall (@list @t1 @t2) (= (tptp.iext tptp.uri_rdf_type @t1 @t2) (tptp.icext @t2 @t1)))) % 0.37/0.59 (assume @p2 @t5) % 0.37/0.59 (assume @p3 @t33) % 0.37/0.59 (assume @p4 @t45) % 0.37/0.59 (assume @p5 (forall (@list @t13 @t11) (= (tptp.iext tptp.uri_owl_inverseOf @t13 @t11) (and @t19 @t18 (forall @t4 (= (tptp.iext @t13 @t1 @t3) (tptp.iext @t11 @t3 @t1))))))) % 0.37/0.59 (assume @p6 (not @t46)) % 0.37/0.59 (assume @p7 @t58) % 0.37/0.59 (assume @p8 true) % 0.37/0.59 (step @p9 :rule aci_norm :args ((= (or @t67 @t62) (or @t66 @t65 @t64 @t63 @t62)))) % 0.37/0.59 (step @p10 :rule refl :args (@t62)) % 0.37/0.59 (step @p11 :rule aci_norm :args ((= (or @t66 (or @t65 (or @t64 @t63))) @t67))) % 0.37/0.59 (step @p12 :rule bool-and-de-morgan :args (@t27 @t26 true)) % 0.37/0.59 (step @p13 :rule refl :args (@t65)) % 0.37/0.59 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or @t65 (not (and @t27 @t26))))) % 0.37/0.59 (step @p15 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26))) % 0.37/0.59 (step @p16 :rule trans :premises (@p15 @p14)) % 0.37/0.59 (step @p17 :rule refl :args (@t66)) % 0.37/0.59 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or @t66 (not (and @t28 @t27 @t26))))) % 0.37/0.59 (step @p19 :rule bool-and-de-morgan :args (@t29 @t28 (and @t27 @t26))) % 0.37/0.59 (step @p20 :rule trans :premises (@p19 @p18)) % 0.37/0.59 (step @p21 :rule trans :premises (@p20 @p11)) % 0.37/0.59 (step @p22 :rule nary_cong :premises (@p21 @p10) :args ((or (not @t30) @t62))) % 0.37/0.59 (step @p23 :rule trans :premises (@p22 @p9)) % 0.37/0.59 (step @p24 :rule bool-impl-elim :args (@t30 @t62)) % 0.37/0.59 (step @p25 :rule trans :premises (@p24 @p23)) % 0.37/0.59 (step @p26 :rule cong :premises (@p25) :args ((forall @t32 (=> @t30 @t62)))) % 0.37/0.59 (step @p27 :rule aci_norm :args ((= (or (or @t60 @t59) @t9) @t61))) % 0.37/0.59 (step @p28 :rule refl :args (@t9)) % 0.37/0.59 (step @p29 :rule bool-and-de-morgan :args (@t14 @t12 true)) % 0.37/0.59 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or (not @t15) @t9))) % 0.37/0.59 (step @p31 :rule trans :premises (@p30 @p27)) % 0.37/0.59 (step @p32 :rule bool-impl-elim :args (@t15 @t9)) % 0.37/0.59 (step @p33 :rule trans :premises (@p32 @p31)) % 0.37/0.59 (step @p34 :rule cong :premises (@p33) :args (@t17)) % 0.37/0.59 (step @p35 :rule refl :args (@t18)) % 0.37/0.59 (step @p36 :rule refl :args (@t19)) % 0.37/0.59 (step @p37 :rule refl :args (@t20)) % 0.37/0.59 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35 @p34) :args (@t21)) % 0.37/0.59 (step @p39 :rule refl :args (@t23)) % 0.37/0.59 (step @p40 :rule cong :premises (@p39 @p38) :args (@t24)) % 0.37/0.59 (step @p41 :rule refl :args (@t30)) % 0.37/0.59 (step @p42 :rule cong :premises (@p41 @p40) :args (@t31)) % 0.37/0.59 (step @p43 :rule cong :premises (@p42) :args (@t33)) % 0.37/0.59 (step @p44 :rule trans :premises (@p43 @p26)) % 0.37/0.59 (step @p45 :rule eq_resolve :premises (@p3 @p44)) % 0.37/0.59 (step @p46 :rule instantiate :premises (@p45) :args ((@list tptp.uri_owl_sameAs @t78 tptp.uri_ex_p @t77 @t76))) % 0.37/0.59 (step @p47 :rule aci_norm :args ((= (or @t73 (or @t72 (or @t71 (or @t70 (or @t69 @t68))))) @t74))) % 0.37/0.59 (step @p48 :rule bool-and-de-morgan :args (@t50 @t48 true)) % 0.37/0.59 (step @p49 :rule refl :args (@t70)) % 0.37/0.59 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t70 (not (and @t50 @t48))))) % 0.37/0.59 (step @p51 :rule bool-and-de-morgan :args (@t51 @t50 (and @t48))) % 0.37/0.59 (step @p52 :rule trans :premises (@p51 @p50)) % 0.37/0.59 (step @p53 :rule refl :args (@t71)) % 0.37/0.59 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t71 (not (and @t51 @t50 @t48))))) % 0.37/0.59 (step @p55 :rule bool-and-de-morgan :args (@t53 @t51 (and @t50 @t48))) % 0.37/0.59 (step @p56 :rule trans :premises (@p55 @p54)) % 0.37/0.59 (step @p57 :rule refl :args (@t72)) % 0.37/0.59 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t72 (not (and @t53 @t51 @t50 @t48))))) % 0.37/0.59 (step @p59 :rule bool-and-de-morgan :args (@t54 @t53 (and @t51 @t50 @t48))) % 0.37/0.59 (step @p60 :rule trans :premises (@p59 @p58)) % 0.37/0.59 (step @p61 :rule refl :args (@t73)) % 0.37/0.59 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t73 (not (and @t54 @t53 @t51 @t50 @t48))))) % 0.37/0.59 (step @p63 :rule bool-and-de-morgan :args (@t55 @t54 (and @t53 @t51 @t50 @t48))) % 0.37/0.59 (step @p64 :rule trans :premises (@p63 @p62)) % 0.37/0.59 (step @p65 :rule trans :premises (@p64 @p47)) % 0.37/0.59 (step @p66 :rule cong :premises (@p65) :args (@t79)) % 0.37/0.59 (step @p67 :rule cong :premises (@p66) :args (@t80)) % 0.37/0.59 (step @p68 :rule exists-elim :args ((= @t58 @t80))) % 0.37/0.59 (step @p69 :rule trans :premises (@p68 @p67)) % 0.37/0.59 (step @p70 :rule eq_resolve :premises (@p7 @p69)) % 0.37/0.59 (step @p71 :rule skolemize :premises (@p70)) % 0.37/0.59 (step @p72 :rule bool-double-not-elim :args (@t81)) % 0.37/0.59 (step @p73 :rule refl :args (@t93)) % 0.37/0.59 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t93 (not @t84)))) % 0.37/0.59 (step @p75 :rule cnf_or_neg :args (@t93 4)) % 0.37/0.59 (step @p76 :rule eq_resolve :premises (@p75 @p74)) % 0.37/0.59 (step @p77 :rule reordering :premises (@p76) :args ((or @t81 @t93))) % 0.37/0.59 (step @p78 :rule chain_m_resolution :premises (@p77 @p71) :args (@t81 @t94 @t95)) % 0.37/0.59 (step @p79 :rule bool-double-not-elim :args (@t85)) % 0.37/0.59 (step @p80 :rule nary_cong :premises (@p73 @p79) :args ((or @t93 (not @t86)))) % 0.37/0.59 (step @p81 :rule cnf_or_neg :args (@t93 3)) % 0.37/0.59 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.37/0.59 (step @p83 :rule reordering :premises (@p82) :args ((or @t85 @t93))) % 0.37/0.59 (step @p84 :rule chain_m_resolution :premises (@p83 @p71) :args (@t85 @t94 @t95)) % 0.37/0.59 (step @p85 :rule bool-double-not-elim :args (@t87)) % 0.37/0.59 (step @p86 :rule nary_cong :premises (@p73 @p85) :args ((or @t93 (not @t88)))) % 0.37/0.59 (step @p87 :rule cnf_or_neg :args (@t93 2)) % 0.37/0.59 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.37/0.59 (step @p89 :rule reordering :premises (@p88) :args ((or @t87 @t93))) % 0.37/0.59 (step @p90 :rule chain_m_resolution :premises (@p89 @p71) :args (@t87 @t94 @t95)) % 0.37/0.59 (step @p91 :rule bool-double-not-elim :args (@t89)) % 0.37/0.59 (step @p92 :rule nary_cong :premises (@p73 @p91) :args ((or @t93 (not @t90)))) % 0.37/0.59 (step @p93 :rule cnf_or_neg :args (@t93 1)) % 0.37/0.59 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.37/0.59 (step @p95 :rule reordering :premises (@p94) :args ((or @t89 @t93))) % 0.37/0.59 (step @p96 :rule chain_m_resolution :premises (@p95 @p71) :args (@t89 @t94 @t95)) % 0.37/0.59 (step @p97 :rule cnf_or_pos :args (@t101)) % 0.37/0.59 (step @p98 :rule reordering :premises (@p97) :args ((or @t90 @t88 @t86 @t84 @t100 (not @t101)))) % 0.37/0.59 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p90 @p84 @p78 @p46) :args (@t100 (@list false false false false false) (@list @t89 @t87 @t85 @t81 @t101))) % 0.37/0.59 (step @p100 :rule bool-double-not-elim :args (@t91)) % 0.37/0.59 (step @p101 :rule nary_cong :premises (@p73 @p100) :args ((or @t93 (not @t92)))) % 0.37/0.59 (step @p102 :rule cnf_or_neg :args (@t93 0)) % 0.37/0.59 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.37/0.59 (step @p104 :rule reordering :premises (@p103) :args ((or @t91 @t93))) % 0.37/0.59 (step @p105 :rule chain_m_resolution :premises (@p104 @p71) :args (@t91 @t94 @t95)) % 0.37/0.59 (step @p106 :rule cnf_equiv_pos1 :args (@t100)) % 0.37/0.59 (step @p107 :rule reordering :premises (@p106) :args ((or @t92 @t99 (not @t100)))) % 0.37/0.59 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p99) :args (@t99 @t102 (@list @t91 @t100))) % 0.37/0.59 (step @p109 :rule cnf_and_pos :args (@t99 3)) % 0.37/0.59 (step @p110 :rule reordering :premises (@p109) :args ((or @t96 (not @t99)))) % 0.37/0.59 (step @p111 :rule chain_m_resolution :premises (@p110 @p108) :args (@t96 @t103 (@list @t99))) % 0.37/0.59 (step @p112 :rule instantiate :premises (@p111) :args ((@list @t107 @t106 @t105))) % 0.37/0.59 (step @p113 :rule instantiate :premises (@p5) :args ((@list @t76 tptp.uri_ex_p))) % 0.37/0.59 (step @p114 :rule bool-double-not-elim :args (@t82)) % 0.37/0.59 (step @p115 :rule nary_cong :premises (@p73 @p114) :args ((or @t93 (not @t83)))) % 0.37/0.59 (step @p116 :rule cnf_or_neg :args (@t93 5)) % 0.37/0.59 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.37/0.59 (step @p118 :rule reordering :premises (@p117) :args ((or @t82 @t93))) % 0.37/0.59 (step @p119 :rule chain_m_resolution :premises (@p118 @p71) :args (@t82 @t94 @t95)) % 0.37/0.59 (step @p120 :rule cnf_equiv_pos1 :args (@t110)) % 0.37/0.59 (step @p121 :rule reordering :premises (@p120) :args ((or @t83 @t109 (not @t110)))) % 0.37/0.59 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p113) :args (@t109 @t102 (@list @t82 @t110))) % 0.37/0.59 (step @p123 :rule cnf_and_pos :args (@t109 2)) % 0.37/0.59 (step @p124 :rule reordering :premises (@p123) :args ((or @t108 @t111))) % 0.37/0.59 (step @p125 :rule chain_m_resolution :premises (@p124 @p122) :args (@t108 @t103 @t112)) % 0.37/0.59 (step @p126 :rule eq-symm :args (@t113 @t114)) % 0.37/0.59 (step @p127 :rule refl :args (@t108)) % 0.37/0.59 (step @p128 :rule cong :premises (@p127 @p126) :args ((=> @t108 @t115))) % 0.37/0.59 (assume-push @p198 @t108) % 0.37/0.59 (step @p130 :rule instantiate :premises (@p125) :args ((@list @t106 @t105))) % 0.37/0.59 (step-pop @p199 :rule scope :premises (@p130)) % 0.37/0.59 (step @p131 :rule process_scope :premises (@p199) :args (@t115)) % 0.37/0.59 (step @p133 :rule eq_resolve :premises (@p131 @p128)) % 0.37/0.59 (step @p134 :rule implies_elim :premises (@p133)) % 0.37/0.59 (step @p135 :rule chain_m_resolution :premises (@p134 @p125) :args (@t116 @t103 (@list @t108))) % 0.37/0.59 (step @p136 :rule aci_norm :args ((= (or (or @t118 @t117) @t36) (or @t118 @t117 @t36)))) % 0.37/0.59 (step @p137 :rule refl :args (@t36)) % 0.37/0.59 (step @p138 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 0.37/0.59 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or (not @t39) @t36))) % 0.37/0.59 (step @p140 :rule trans :premises (@p139 @p136)) % 0.37/0.59 (step @p141 :rule bool-impl-elim :args (@t39 @t36)) % 0.37/0.59 (step @p142 :rule trans :premises (@p141 @p140)) % 0.37/0.59 (step @p143 :rule cong :premises (@p142) :args (@t41)) % 0.37/0.59 (step @p144 :rule nary_cong :premises (@p37 @p143) :args (@t42)) % 0.37/0.59 (step @p145 :rule refl :args (@t43)) % 0.37/0.59 (step @p146 :rule cong :premises (@p145 @p144) :args (@t44)) % 0.37/0.59 (step @p147 :rule cong :premises (@p146) :args (@t45)) % 0.37/0.59 (step @p148 :rule eq_resolve :premises (@p4 @p147)) % 0.37/0.59 (step @p149 :rule instantiate :premises (@p148) :args ((@list tptp.uri_ex_p))) % 0.37/0.59 (step @p150 :rule instantiate :premises (@p1) :args ((@list tptp.uri_ex_p tptp.uri_owl_InverseFunctionalProperty))) % 0.37/0.59 (step @p151 :rule cnf_equiv_pos2 :args (@t120)) % 0.37/0.59 (step @p152 :rule reordering :premises (@p151) :args ((or @t46 @t121 (not @t120)))) % 0.37/0.59 (step @p153 :rule chain_m_resolution :premises (@p152 @p6 @p150) :args (@t121 @t122 (@list @t46 @t120))) % 0.37/0.59 (step @p154 :rule cnf_equiv_pos2 :args (@t124)) % 0.37/0.59 (step @p155 :rule reordering :premises (@p154) :args ((or @t119 @t125 (not @t124)))) % 0.37/0.59 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p149) :args (@t125 @t122 (@list @t119 @t124))) % 0.37/0.59 (step @p157 :rule cnf_and_pos :args (@t109 1)) % 0.37/0.59 (step @p158 :rule reordering :premises (@p157) :args ((or @t98 @t111))) % 0.37/0.59 (step @p159 :rule chain_m_resolution :premises (@p158 @p122) :args (@t98 @t103 @t112)) % 0.37/0.59 (step @p160 :rule cnf_and_neg :args (@t123)) % 0.37/0.59 (step @p161 :rule reordering :premises (@p160) :args ((or (not @t98) @t123 @t126))) % 0.37/0.59 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p156) :args (@t126 (@list false true) (@list @t98 @t123))) % 0.37/0.59 (step @p163 :rule skolemize :premises (@p162)) % 0.37/0.59 (step @p164 :rule bool-double-not-elim :args (@t114)) % 0.37/0.59 (step @p165 :rule refl :args (@t131)) % 0.37/0.59 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or @t131 (not @t128)))) % 0.37/0.59 (step @p167 :rule cnf_or_neg :args (@t131 1)) % 0.37/0.59 (step @p168 :rule eq_resolve :premises (@p167 @p166)) % 0.37/0.59 (step @p169 :rule reordering :premises (@p168) :args ((or @t114 @t131))) % 0.37/0.59 (step @p170 :rule chain_m_resolution :premises (@p169 @p163) :args (@t114 @t94 @t132)) % 0.37/0.59 (step @p171 :rule cnf_equiv_pos1 :args (@t116)) % 0.37/0.59 (step @p172 :rule reordering :premises (@p171) :args ((or @t128 @t113 (not @t116)))) % 0.37/0.59 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p135) :args (@t113 @t102 (@list @t114 @t116))) % 0.37/0.59 (step @p174 :rule bool-double-not-elim :args (@t129)) % 0.37/0.59 (step @p175 :rule nary_cong :premises (@p165 @p174) :args ((or @t131 (not @t130)))) % 0.37/0.59 (step @p176 :rule cnf_or_neg :args (@t131 0)) % 0.37/0.59 (step @p177 :rule eq_resolve :premises (@p176 @p175)) % 0.37/0.59 (step @p178 :rule reordering :premises (@p177) :args ((or @t129 @t131))) % 0.37/0.59 (step @p179 :rule chain_m_resolution :premises (@p178 @p163) :args (@t129 @t94 @t132)) % 0.37/0.59 (step @p180 :rule cnf_or_pos :args (@t135)) % 0.37/0.59 (step @p181 :rule reordering :premises (@p180) :args ((or @t130 @t134 @t133 (not @t135)))) % 0.37/0.59 (step @p182 :rule chain_m_resolution :premises (@p181 @p179 @p173 @p112) :args (@t133 (@list false false false) (@list @t129 @t113 @t135))) % 0.37/0.59 (step @p183 :rule cnf_or_neg :args (@t131 2)) % 0.37/0.59 (step @p184 :rule chain_m_resolution :premises (@p183 @p163) :args ((not @t127) @t94 @t132)) % 0.37/0.59 (step @p185 :rule cnf_equiv_pos2 :args (@t136)) % 0.37/0.59 (step @p186 :rule reordering :premises (@p185) :args ((or @t127 (not @t133) @t137))) % 0.37/0.59 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p182) :args (@t137 @t122 (@list @t127 @t133))) % 0.37/0.59 (step @p188 :rule eq-symm :args (@t133 @t127)) % 0.37/0.59 (step @p189 :rule refl :args (@t5)) % 0.37/0.59 (step @p190 :rule cong :premises (@p189 @p188) :args ((=> @t5 @t138))) % 0.37/0.59 (assume-push @p200 @t5) % 0.37/0.59 (step @p192 :rule instantiate :premises (@p2) :args ((@list @t107 @t105))) % 0.37/0.59 (step-pop @p201 :rule scope :premises (@p192)) % 0.37/0.59 (step @p193 :rule process_scope :premises (@p201) :args (@t138)) % 0.37/0.59 (step @p195 :rule eq_resolve :premises (@p193 @p190)) % 0.37/0.59 (step @p196 :rule implies_elim :premises (@p195)) % 0.37/0.59 (step @p197 false :rule chain_m_resolution :premises (@p196 @p187 @p2) :args (false @t122 (@list @t136 @t5))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------