%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWB026+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 : n014.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 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB026+2 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n014.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 18:56:28 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.uri_ex_w $$unsorted) % 0.36/0.57 (declare-const tptp.uri_ex_u $$unsorted) % 0.36/0.57 (declare-const tptp.ip (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.uri_rdf_Property $$unsorted) % 0.36/0.57 (declare-const tptp.uri_rdf_nil $$unsorted) % 0.36/0.57 (declare-const tptp.uri_rdf_type $$unsorted) % 0.36/0.57 (declare-const tptp.uri_rdf_rest $$unsorted) % 0.36/0.57 (declare-const tptp.uri_rdfs_domain $$unsorted) % 0.36/0.57 (declare-const tptp.ic (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.uri_rdfs_range $$unsorted) % 0.36/0.57 (declare-const tptp.icext (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.uri_owl_oneOf $$unsorted) % 0.36/0.57 (declare-const tptp.uri_rdf_first $$unsorted) % 0.36/0.57 (declare-const tptp.uri_owl_InverseFunctionalProperty $$unsorted) % 0.36/0.57 (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.uri_ex_p $$unsorted) % 0.36/0.57 (define @t1 () (@var "P" $$unsorted)) % 0.36/0.57 (define @t2 () (tptp.ip @t1)) % 0.36/0.57 (define @t3 () (@list @t1)) % 0.36/0.57 (define @t4 () (forall @t3 (= (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_rdf_Property) @t2))) % 0.36/0.57 (define @t5 () (@var "X" $$unsorted)) % 0.36/0.57 (define @t6 () (@var "C" $$unsorted)) % 0.36/0.57 (define @t7 () (tptp.icext @t6 @t5)) % 0.36/0.57 (define @t8 () (forall (@list @t5 @t6) (= (tptp.iext tptp.uri_rdf_type @t5 @t6) @t7))) % 0.36/0.57 (define @t9 () (@var "Y" $$unsorted)) % 0.36/0.57 (define @t10 () (tptp.iext @t1 @t5 @t9)) % 0.36/0.57 (define @t11 () (tptp.iext tptp.uri_rdfs_domain @t1 @t6)) % 0.36/0.57 (define @t12 () (and @t11 @t10)) % 0.36/0.57 (define @t13 () (forall (@list @t1 @t6 @t5 @t9) (=> @t12 @t7))) % 0.36/0.57 (define @t14 () (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_domain tptp.uri_rdf_Property)) % 0.36/0.57 (define @t15 () (@var "A1" $$unsorted)) % 0.36/0.57 (define @t16 () (@var "Z" $$unsorted)) % 0.36/0.57 (define @t17 () (@list @t5)) % 0.36/0.57 (define @t18 () (@var "S1" $$unsorted)) % 0.36/0.57 (define @t19 () (= (tptp.iext tptp.uri_owl_oneOf @t16 @t18) (and (tptp.ic @t16) (forall @t17 (= (tptp.icext @t16 @t5) (= @t5 @t15)))))) % 0.36/0.57 (define @t20 () (tptp.iext tptp.uri_rdf_rest @t18 tptp.uri_rdf_nil)) % 0.36/0.57 (define @t21 () (tptp.iext tptp.uri_rdf_first @t18 @t15)) % 0.36/0.57 (define @t22 () (and @t21 @t20)) % 0.36/0.57 (define @t23 () (forall (@list @t16 @t18 @t15) (=> @t22 @t19))) % 0.36/0.57 (define @t24 () (@var "X2" $$unsorted)) % 0.36/0.57 (define @t25 () (@var "X1" $$unsorted)) % 0.36/0.57 (define @t26 () (= @t25 @t24)) % 0.36/0.57 (define @t27 () (tptp.iext @t1 @t24 @t9)) % 0.36/0.57 (define @t28 () (tptp.iext @t1 @t25 @t9)) % 0.36/0.57 (define @t29 () (and @t28 @t27)) % 0.36/0.57 (define @t30 () (@list @t25 @t24 @t9)) % 0.36/0.57 (define @t31 () (forall @t30 (=> @t29 @t26))) % 0.36/0.57 (define @t32 () (and @t2 @t31)) % 0.36/0.57 (define @t33 () (tptp.icext tptp.uri_owl_InverseFunctionalProperty @t1)) % 0.36/0.57 (define @t34 () (= @t33 @t32)) % 0.36/0.57 (define @t35 () (forall @t3 @t34)) % 0.36/0.57 (define @t36 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_p tptp.uri_owl_InverseFunctionalProperty)) % 0.36/0.57 (define @t37 () (@var "BNODE_l2" $$unsorted)) % 0.36/0.57 (define @t38 () (tptp.iext tptp.uri_rdf_rest @t37 tptp.uri_rdf_nil)) % 0.36/0.57 (define @t39 () (tptp.iext tptp.uri_rdf_first @t37 tptp.uri_ex_u)) % 0.36/0.57 (define @t40 () (@var "BNODE_x2" $$unsorted)) % 0.36/0.57 (define @t41 () (tptp.iext tptp.uri_owl_oneOf @t40 @t37)) % 0.36/0.57 (define @t42 () (tptp.iext tptp.uri_rdfs_range tptp.uri_ex_p @t40)) % 0.36/0.57 (define @t43 () (@var "BNODE_l1" $$unsorted)) % 0.36/0.57 (define @t44 () (tptp.iext tptp.uri_rdf_rest @t43 tptp.uri_rdf_nil)) % 0.36/0.57 (define @t45 () (tptp.iext tptp.uri_rdf_first @t43 tptp.uri_ex_w)) % 0.36/0.57 (define @t46 () (@var "BNODE_x1" $$unsorted)) % 0.36/0.57 (define @t47 () (tptp.iext tptp.uri_owl_oneOf @t46 @t43)) % 0.36/0.57 (define @t48 () (tptp.iext tptp.uri_rdfs_domain tptp.uri_ex_p @t46)) % 0.36/0.57 (define @t49 () (and @t48 @t47 @t45 @t44 @t42 @t41 @t39 @t38)) % 0.36/0.57 (define @t50 () (@list @t46 @t40 @t43 @t37)) % 0.36/0.57 (define @t51 () (exists @t50 @t49)) % 0.36/0.57 (define @t52 () (not @t20)) % 0.36/0.57 (define @t53 () (not @t21)) % 0.36/0.57 (define @t54 () (not @t44)) % 0.36/0.57 (define @t55 () (not @t45)) % 0.36/0.57 (define @t56 () (not @t47)) % 0.36/0.57 (define @t57 () (not @t48)) % 0.36/0.57 (define @t58 () (or @t57 @t56 @t55 @t54)) % 0.36/0.57 (define @t59 () (forall (@list @t46 @t43) @t58)) % 0.36/0.57 (define @t60 () (@quantifiers_skolemize @t59 1)) % 0.36/0.57 (define @t61 () (@quantifiers_skolemize @t59 0)) % 0.36/0.57 (define @t62 () (not @t38)) % 0.36/0.57 (define @t63 () (not @t39)) % 0.36/0.57 (define @t64 () (not @t41)) % 0.36/0.57 (define @t65 () (not @t42)) % 0.36/0.57 (define @t66 () (or @t65 @t64 @t63 @t62)) % 0.36/0.57 (define @t67 () (or @t58 @t66)) % 0.36/0.57 (define @t68 () (@list @t46 @t43 @t40 @t37)) % 0.36/0.57 (define @t69 () (or @t57 @t56 @t55 @t54 @t65 @t64 @t63 @t62)) % 0.36/0.57 (define @t70 () (forall @t68 @t69)) % 0.36/0.57 (define @t71 () (forall @t50 (not @t49))) % 0.36/0.57 (define @t72 () (not @t71)) % 0.36/0.57 (define @t73 () (tptp.iext tptp.uri_rdf_rest @t60 tptp.uri_rdf_nil)) % 0.36/0.57 (define @t74 () (not @t73)) % 0.36/0.57 (define @t75 () (tptp.iext tptp.uri_rdf_first @t60 tptp.uri_ex_w)) % 0.36/0.57 (define @t76 () (not @t75)) % 0.36/0.57 (define @t77 () (tptp.iext tptp.uri_owl_oneOf @t61 @t60)) % 0.36/0.57 (define @t78 () (not @t77)) % 0.36/0.57 (define @t79 () (tptp.iext tptp.uri_rdfs_domain tptp.uri_ex_p @t61)) % 0.36/0.57 (define @t80 () (not @t79)) % 0.36/0.57 (define @t81 () (or @t80 @t78 @t76 @t74)) % 0.36/0.57 (define @t82 () (@list true)) % 0.36/0.57 (define @t83 () (@list @t81)) % 0.36/0.57 (define @t84 () (forall @t17 (= (tptp.icext @t61 @t5) (= @t5 tptp.uri_ex_w)))) % 0.36/0.57 (define @t85 () (and (tptp.ic @t61) @t84)) % 0.36/0.57 (define @t86 () (= @t77 @t85)) % 0.36/0.57 (define @t87 () (or @t76 @t74 @t86)) % 0.36/0.57 (define @t88 () (@list false false false)) % 0.36/0.57 (define @t89 () (@list false false)) % 0.36/0.57 (define @t90 () (@list false)) % 0.36/0.57 (define @t91 () (forall @t30 (or (not (tptp.iext tptp.uri_ex_p @t25 @t9)) (not (tptp.iext tptp.uri_ex_p @t24 @t9)) @t26))) % 0.36/0.57 (define @t92 () (@quantifiers_skolemize @t91 0)) % 0.36/0.57 (define @t93 () (tptp.icext @t61 @t92)) % 0.36/0.57 (define @t94 () (= @t93 (= @t92 tptp.uri_ex_w))) % 0.36/0.57 (define @t95 () (= tptp.uri_ex_w @t92)) % 0.36/0.57 (define @t96 () (= @t93 @t95)) % 0.36/0.57 (define @t97 () (@list @t84)) % 0.36/0.57 (define @t98 () (not @t10)) % 0.36/0.57 (define @t99 () (not @t11)) % 0.36/0.57 (define @t100 () (@quantifiers_skolemize @t91 2)) % 0.36/0.57 (define @t101 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_p tptp.uri_rdf_Property)) % 0.36/0.57 (define @t102 () (tptp.ip tptp.uri_ex_p)) % 0.36/0.57 (define @t103 () (= @t101 @t102)) % 0.36/0.57 (define @t104 () (@list tptp.uri_ex_p)) % 0.36/0.57 (define @t105 () (= @t102 @t101)) % 0.36/0.57 (define @t106 () (tptp.icext tptp.uri_rdf_Property tptp.uri_ex_p)) % 0.36/0.57 (define @t107 () (= @t101 @t106)) % 0.36/0.57 (define @t108 () (= @t106 @t101)) % 0.36/0.57 (define @t109 () (not @t14)) % 0.36/0.57 (define @t110 () (or @t109 @t80 @t106)) % 0.36/0.57 (define @t111 () (not @t27)) % 0.36/0.57 (define @t112 () (not @t28)) % 0.36/0.57 (define @t113 () (tptp.icext tptp.uri_owl_InverseFunctionalProperty tptp.uri_ex_p)) % 0.36/0.57 (define @t114 () (= @t36 @t113)) % 0.36/0.57 (define @t115 () (not @t113)) % 0.36/0.57 (define @t116 () (@list true false)) % 0.36/0.57 (define @t117 () (and @t102 @t91)) % 0.36/0.57 (define @t118 () (= @t113 @t117)) % 0.36/0.57 (define @t119 () (not @t117)) % 0.36/0.57 (define @t120 () (tptp.iext tptp.uri_ex_p @t92 @t100)) % 0.36/0.57 (define @t121 () (@quantifiers_skolemize @t91 1)) % 0.36/0.57 (define @t122 () (= @t92 @t121)) % 0.36/0.57 (define @t123 () (tptp.iext tptp.uri_ex_p @t121 @t100)) % 0.36/0.57 (define @t124 () (not @t123)) % 0.36/0.57 (define @t125 () (not @t120)) % 0.36/0.57 (define @t126 () (or @t125 @t124 @t122)) % 0.36/0.57 (define @t127 () (@list @t126)) % 0.36/0.57 (define @t128 () (or @t80 @t125 @t93)) % 0.36/0.57 (define @t129 () (tptp.icext @t61 @t121)) % 0.36/0.57 (define @t130 () (= @t129 (= @t121 tptp.uri_ex_w))) % 0.36/0.57 (define @t131 () (= tptp.uri_ex_w @t121)) % 0.36/0.57 (define @t132 () (= @t129 @t131)) % 0.36/0.57 (define @t133 () (or @t80 @t124 @t129)) % 0.36/0.57 (assume @p1 @t4) % 0.36/0.57 (assume @p2 @t8) % 0.36/0.57 (assume @p3 @t13) % 0.36/0.57 (assume @p4 @t14) % 0.36/0.57 (assume @p5 @t23) % 0.36/0.57 (assume @p6 @t35) % 0.36/0.57 (assume @p7 (not @t36)) % 0.36/0.57 (assume @p8 @t51) % 0.36/0.57 (assume @p9 true) % 0.36/0.57 (step @p10 :rule evaluate :args ((= false true))) % 0.36/0.57 (step @p11 :rule aci_norm :args ((= (or (or @t53 @t52) @t19) (or @t53 @t52 @t19)))) % 0.36/0.57 (step @p12 :rule refl :args (@t19)) % 0.36/0.57 (step @p13 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 0.36/0.57 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or (not @t22) @t19))) % 0.36/0.57 (step @p15 :rule trans :premises (@p14 @p11)) % 0.36/0.57 (step @p16 :rule bool-impl-elim :args (@t22 @t19)) % 0.36/0.57 (step @p17 :rule trans :premises (@p16 @p15)) % 0.36/0.57 (step @p18 :rule cong :premises (@p17) :args (@t23)) % 0.36/0.57 (step @p19 :rule eq_resolve :premises (@p5 @p18)) % 0.36/0.57 (step @p20 :rule instantiate :premises (@p19) :args ((@list @t61 @t60 tptp.uri_ex_w))) % 0.36/0.57 (step @p21 :rule quant-miniscope-or :args ((= (forall @t68 @t67) (or @t59 (forall (@list @t40 @t37) @t66))))) % 0.36/0.57 (step @p22 :rule aci_norm :args ((= @t69 @t67))) % 0.36/0.57 (step @p23 :rule cong :premises (@p22) :args (@t70)) % 0.36/0.57 (step @p24 :rule quant_var_reordering :args ((= (forall @t50 @t69) @t70))) % 0.36/0.57 (step @p25 :rule trans :premises (@p24 @p23 @p21)) % 0.36/0.57 (step @p26 :rule aci_norm :args ((= (or @t57 (or @t56 (or @t55 (or @t54 (or @t65 (or @t64 (or @t63 @t62))))))) @t69))) % 0.36/0.57 (step @p27 :rule bool-and-de-morgan :args (@t39 @t38 true)) % 0.36/0.57 (step @p28 :rule refl :args (@t64)) % 0.36/0.57 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t64 (not (and @t39 @t38))))) % 0.36/0.57 (step @p30 :rule bool-and-de-morgan :args (@t41 @t39 (and @t38))) % 0.36/0.57 (step @p31 :rule trans :premises (@p30 @p29)) % 0.36/0.57 (step @p32 :rule refl :args (@t65)) % 0.36/0.57 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t65 (not (and @t41 @t39 @t38))))) % 0.36/0.57 (step @p34 :rule bool-and-de-morgan :args (@t42 @t41 (and @t39 @t38))) % 0.36/0.57 (step @p35 :rule trans :premises (@p34 @p33)) % 0.36/0.57 (step @p36 :rule refl :args (@t54)) % 0.36/0.57 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t54 (not (and @t42 @t41 @t39 @t38))))) % 0.36/0.57 (step @p38 :rule bool-and-de-morgan :args (@t44 @t42 (and @t41 @t39 @t38))) % 0.36/0.57 (step @p39 :rule trans :premises (@p38 @p37)) % 0.36/0.57 (step @p40 :rule refl :args (@t55)) % 0.36/0.57 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t55 (not (and @t44 @t42 @t41 @t39 @t38))))) % 0.36/0.57 (step @p42 :rule bool-and-de-morgan :args (@t45 @t44 (and @t42 @t41 @t39 @t38))) % 0.36/0.57 (step @p43 :rule trans :premises (@p42 @p41)) % 0.36/0.57 (step @p44 :rule refl :args (@t56)) % 0.36/0.57 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t56 (not (and @t45 @t44 @t42 @t41 @t39 @t38))))) % 0.36/0.57 (step @p46 :rule bool-and-de-morgan :args (@t47 @t45 (and @t44 @t42 @t41 @t39 @t38))) % 0.36/0.57 (step @p47 :rule trans :premises (@p46 @p45)) % 0.36/0.57 (step @p48 :rule refl :args (@t57)) % 0.36/0.57 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t57 (not (and @t47 @t45 @t44 @t42 @t41 @t39 @t38))))) % 0.36/0.57 (step @p50 :rule bool-and-de-morgan :args (@t48 @t47 (and @t45 @t44 @t42 @t41 @t39 @t38))) % 0.36/0.57 (step @p51 :rule trans :premises (@p50 @p49)) % 0.36/0.57 (step @p52 :rule trans :premises (@p51 @p26)) % 0.36/0.57 (step @p53 :rule cong :premises (@p52) :args (@t71)) % 0.36/0.57 (step @p54 :rule trans :premises (@p53 @p25)) % 0.36/0.57 (step @p55 :rule cong :premises (@p54) :args (@t72)) % 0.36/0.57 (step @p56 :rule exists-elim :args ((= @t51 @t72))) % 0.36/0.57 (step @p57 :rule trans :premises (@p56 @p55)) % 0.36/0.57 (step @p58 :rule eq_resolve :premises (@p8 @p57)) % 0.36/0.57 (step @p59 :rule not_or_elim :premises (@p58) :args (0)) % 0.36/0.57 (step @p60 :rule skolemize :premises (@p59)) % 0.36/0.57 (step @p61 :rule bool-double-not-elim :args (@t73)) % 0.36/0.57 (step @p62 :rule refl :args (@t81)) % 0.36/0.57 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t81 (not @t74)))) % 0.36/0.57 (step @p64 :rule cnf_or_neg :args (@t81 3)) % 0.36/0.57 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.36/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t73 @t81))) % 0.36/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p60) :args (@t73 @t82 @t83)) % 0.36/0.57 (step @p68 :rule bool-double-not-elim :args (@t75)) % 0.36/0.57 (step @p69 :rule nary_cong :premises (@p62 @p68) :args ((or @t81 (not @t76)))) % 0.36/0.57 (step @p70 :rule cnf_or_neg :args (@t81 2)) % 0.36/0.57 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.36/0.57 (step @p72 :rule reordering :premises (@p71) :args ((or @t75 @t81))) % 0.36/0.57 (step @p73 :rule chain_m_resolution :premises (@p72 @p60) :args (@t75 @t82 @t83)) % 0.36/0.57 (step @p74 :rule cnf_or_pos :args (@t87)) % 0.36/0.57 (step @p75 :rule reordering :premises (@p74) :args ((or @t76 @t74 @t86 (not @t87)))) % 0.36/0.57 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p67 @p20) :args (@t86 @t88 (@list @t75 @t73 @t87))) % 0.36/0.57 (step @p77 :rule bool-double-not-elim :args (@t77)) % 0.36/0.57 (step @p78 :rule nary_cong :premises (@p62 @p77) :args ((or @t81 (not @t78)))) % 0.36/0.57 (step @p79 :rule cnf_or_neg :args (@t81 1)) % 0.36/0.57 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.36/0.57 (step @p81 :rule reordering :premises (@p80) :args ((or @t77 @t81))) % 0.36/0.57 (step @p82 :rule chain_m_resolution :premises (@p81 @p60) :args (@t77 @t82 @t83)) % 0.36/0.57 (step @p83 :rule cnf_equiv_pos1 :args (@t86)) % 0.36/0.57 (step @p84 :rule reordering :premises (@p83) :args ((or @t78 @t85 (not @t86)))) % 0.36/0.57 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p76) :args (@t85 @t89 (@list @t77 @t86))) % 0.36/0.57 (step @p86 :rule cnf_and_pos :args (@t85 1)) % 0.36/0.57 (step @p87 :rule reordering :premises (@p86) :args ((or @t84 (not @t85)))) % 0.36/0.57 (step @p88 :rule chain_m_resolution :premises (@p87 @p85) :args (@t84 @t90 (@list @t85))) % 0.36/0.57 (step @p89 :rule eq-symm :args (@t92 tptp.uri_ex_w)) % 0.36/0.57 (step @p90 :rule refl :args (@t93)) % 0.36/0.57 (step @p91 :rule cong :premises (@p90 @p89) :args (@t94)) % 0.36/0.57 (step @p92 :rule refl :args (@t84)) % 0.36/0.57 (step @p93 :rule cong :premises (@p92 @p91) :args ((=> @t84 @t94))) % 0.36/0.57 (assume-push @p219 @t84) % 0.36/0.57 (step @p95 :rule instantiate :premises (@p88) :args ((@list @t92))) % 0.36/0.57 (step-pop @p220 :rule scope :premises (@p95)) % 0.36/0.57 (step @p96 :rule process_scope :premises (@p220) :args (@t94)) % 0.36/0.57 (step @p98 :rule eq_resolve :premises (@p96 @p93)) % 0.36/0.57 (step @p99 :rule implies_elim :premises (@p98)) % 0.36/0.57 (step @p100 :rule chain_m_resolution :premises (@p99 @p88) :args (@t96 @t90 @t97)) % 0.36/0.57 (step @p101 :rule aci_norm :args ((= (or (or @t99 @t98) @t7) (or @t99 @t98 @t7)))) % 0.36/0.57 (step @p102 :rule refl :args (@t7)) % 0.36/0.57 (step @p103 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.36/0.57 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or (not @t12) @t7))) % 0.36/0.57 (step @p105 :rule trans :premises (@p104 @p101)) % 0.36/0.57 (step @p106 :rule bool-impl-elim :args (@t12 @t7)) % 0.36/0.57 (step @p107 :rule trans :premises (@p106 @p105)) % 0.36/0.57 (step @p108 :rule cong :premises (@p107) :args (@t13)) % 0.36/0.57 (step @p109 :rule eq_resolve :premises (@p3 @p108)) % 0.36/0.57 (step @p110 :rule instantiate :premises (@p109) :args ((@list tptp.uri_ex_p @t61 @t92 @t100))) % 0.36/0.57 (step @p111 :rule eq-symm :args (@t101 @t102)) % 0.36/0.57 (step @p112 :rule refl :args (@t4)) % 0.36/0.57 (step @p113 :rule cong :premises (@p112 @p111) :args ((=> @t4 @t103))) % 0.36/0.57 (assume-push @p221 @t4) % 0.36/0.57 (step @p115 :rule instantiate :premises (@p1) :args (@t104)) % 0.36/0.57 (step-pop @p222 :rule scope :premises (@p115)) % 0.36/0.57 (step @p116 :rule process_scope :premises (@p222) :args (@t103)) % 0.36/0.57 (step @p118 :rule eq_resolve :premises (@p116 @p113)) % 0.36/0.57 (step @p119 :rule implies_elim :premises (@p118)) % 0.36/0.57 (step @p120 :rule chain_m_resolution :premises (@p119 @p1) :args (@t105 @t90 (@list @t4))) % 0.36/0.57 (step @p121 :rule eq-symm :args (@t101 @t106)) % 0.36/0.57 (step @p122 :rule refl :args (@t8)) % 0.36/0.57 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t8 @t107))) % 0.36/0.57 (assume-push @p223 @t8) % 0.36/0.57 (step @p125 :rule instantiate :premises (@p2) :args ((@list tptp.uri_ex_p tptp.uri_rdf_Property))) % 0.36/0.57 (step-pop @p224 :rule scope :premises (@p125)) % 0.36/0.57 (step @p126 :rule process_scope :premises (@p224) :args (@t107)) % 0.36/0.57 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 0.36/0.57 (step @p129 :rule implies_elim :premises (@p128)) % 0.36/0.57 (step @p130 :rule chain_m_resolution :premises (@p129 @p2) :args (@t108 @t90 (@list @t8))) % 0.36/0.57 (step @p131 :rule instantiate :premises (@p109) :args ((@list tptp.uri_rdfs_domain tptp.uri_rdf_Property tptp.uri_ex_p @t61))) % 0.36/0.57 (step @p132 :rule bool-double-not-elim :args (@t79)) % 0.36/0.57 (step @p133 :rule nary_cong :premises (@p62 @p132) :args ((or @t81 (not @t80)))) % 0.36/0.57 (step @p134 :rule cnf_or_neg :args (@t81 0)) % 0.36/0.57 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 0.36/0.57 (step @p136 :rule reordering :premises (@p135) :args ((or @t79 @t81))) % 0.36/0.57 (step @p137 :rule chain_m_resolution :premises (@p136 @p60) :args (@t79 @t82 @t83)) % 0.36/0.57 (step @p138 :rule cnf_or_pos :args (@t110)) % 0.36/0.57 (step @p139 :rule reordering :premises (@p138) :args ((or @t109 @t80 @t106 (not @t110)))) % 0.36/0.57 (step @p140 :rule chain_m_resolution :premises (@p139 @p4 @p137 @p131) :args (@t106 @t88 (@list @t14 @t79 @t110))) % 0.36/0.57 (step @p141 :rule cnf_equiv_pos1 :args (@t108)) % 0.36/0.57 (step @p142 :rule reordering :premises (@p141) :args ((or (not @t106) @t101 (not @t108)))) % 0.36/0.57 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p130) :args (@t101 @t89 (@list @t106 @t108))) % 0.36/0.57 (step @p144 :rule cnf_equiv_pos2 :args (@t105)) % 0.36/0.57 (step @p145 :rule reordering :premises (@p144) :args ((or @t102 (not @t101) (not @t105)))) % 0.36/0.57 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p120) :args (@t102 @t89 (@list @t101 @t105))) % 0.36/0.57 (step @p147 :rule aci_norm :args ((= (or (or @t112 @t111) @t26) (or @t112 @t111 @t26)))) % 0.36/0.57 (step @p148 :rule refl :args (@t26)) % 0.36/0.57 (step @p149 :rule bool-and-de-morgan :args (@t28 @t27 true)) % 0.36/0.57 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or (not @t29) @t26))) % 0.36/0.57 (step @p151 :rule trans :premises (@p150 @p147)) % 0.36/0.57 (step @p152 :rule bool-impl-elim :args (@t29 @t26)) % 0.36/0.57 (step @p153 :rule trans :premises (@p152 @p151)) % 0.36/0.57 (step @p154 :rule cong :premises (@p153) :args (@t31)) % 0.36/0.57 (step @p155 :rule refl :args (@t2)) % 0.36/0.57 (step @p156 :rule nary_cong :premises (@p155 @p154) :args (@t32)) % 0.36/0.57 (step @p157 :rule refl :args (@t33)) % 0.36/0.57 (step @p158 :rule cong :premises (@p157 @p156) :args (@t34)) % 0.36/0.57 (step @p159 :rule cong :premises (@p158) :args (@t35)) % 0.36/0.57 (step @p160 :rule eq_resolve :premises (@p6 @p159)) % 0.36/0.57 (step @p161 :rule instantiate :premises (@p160) :args (@t104)) % 0.36/0.57 (step @p162 :rule instantiate :premises (@p2) :args ((@list tptp.uri_ex_p tptp.uri_owl_InverseFunctionalProperty))) % 0.36/0.57 (step @p163 :rule cnf_equiv_pos2 :args (@t114)) % 0.36/0.57 (step @p164 :rule reordering :premises (@p163) :args ((or @t36 @t115 (not @t114)))) % 0.36/0.57 (step @p165 :rule chain_m_resolution :premises (@p164 @p7 @p162) :args (@t115 @t116 (@list @t36 @t114))) % 0.36/0.57 (step @p166 :rule cnf_equiv_pos2 :args (@t118)) % 0.36/0.57 (step @p167 :rule reordering :premises (@p166) :args ((or @t113 @t119 (not @t118)))) % 0.36/0.57 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p161) :args (@t119 @t116 (@list @t113 @t118))) % 0.36/0.57 (step @p169 :rule cnf_and_neg :args (@t117)) % 0.36/0.57 (step @p170 :rule chain_m_resolution :premises (@p169 @p168 @p146) :args ((not @t91) @t116 (@list @t117 @t102))) % 0.36/0.57 (step @p171 :rule skolemize :premises (@p170)) % 0.36/0.57 (step @p172 :rule bool-double-not-elim :args (@t120)) % 0.36/0.57 (step @p173 :rule refl :args (@t126)) % 0.36/0.57 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or @t126 (not @t125)))) % 0.36/0.57 (step @p175 :rule cnf_or_neg :args (@t126 0)) % 0.36/0.57 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 0.36/0.57 (step @p177 :rule reordering :premises (@p176) :args ((or @t120 @t126))) % 0.36/0.57 (step @p178 :rule chain_m_resolution :premises (@p177 @p171) :args (@t120 @t82 @t127)) % 0.36/0.57 (step @p179 :rule cnf_or_pos :args (@t128)) % 0.36/0.57 (step @p180 :rule reordering :premises (@p179) :args ((or @t80 @t125 @t93 (not @t128)))) % 0.36/0.57 (step @p181 :rule chain_m_resolution :premises (@p180 @p137 @p178 @p110) :args (@t93 @t88 (@list @t79 @t120 @t128))) % 0.36/0.57 (step @p182 :rule cnf_equiv_pos1 :args (@t96)) % 0.36/0.57 (step @p183 :rule reordering :premises (@p182) :args ((or (not @t93) @t95 (not @t96)))) % 0.36/0.57 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p100) :args (@t95 @t89 (@list @t93 @t96))) % 0.36/0.57 (step @p185 :rule eq-symm :args (@t121 tptp.uri_ex_w)) % 0.36/0.57 (step @p186 :rule refl :args (@t129)) % 0.36/0.57 (step @p187 :rule cong :premises (@p186 @p185) :args (@t130)) % 0.36/0.57 (step @p188 :rule cong :premises (@p92 @p187) :args ((=> @t84 @t130))) % 0.36/0.57 (assume-push @p225 @t84) % 0.36/0.57 (step @p190 :rule instantiate :premises (@p88) :args ((@list @t121))) % 0.36/0.57 (step-pop @p226 :rule scope :premises (@p190)) % 0.36/0.57 (step @p191 :rule process_scope :premises (@p226) :args (@t130)) % 0.36/0.57 (step @p193 :rule eq_resolve :premises (@p191 @p188)) % 0.36/0.57 (step @p194 :rule implies_elim :premises (@p193)) % 0.36/0.57 (step @p195 :rule chain_m_resolution :premises (@p194 @p88) :args (@t132 @t90 @t97)) % 0.36/0.57 (step @p196 :rule instantiate :premises (@p109) :args ((@list tptp.uri_ex_p @t61 @t121 @t100))) % 0.36/0.57 (step @p197 :rule bool-double-not-elim :args (@t123)) % 0.36/0.57 (step @p198 :rule nary_cong :premises (@p173 @p197) :args ((or @t126 (not @t124)))) % 0.36/0.57 (step @p199 :rule cnf_or_neg :args (@t126 1)) % 0.36/0.57 (step @p200 :rule eq_resolve :premises (@p199 @p198)) % 0.36/0.57 (step @p201 :rule reordering :premises (@p200) :args ((or @t123 @t126))) % 0.36/0.57 (step @p202 :rule chain_m_resolution :premises (@p201 @p171) :args (@t123 @t82 @t127)) % 0.36/0.57 (step @p203 :rule cnf_or_pos :args (@t133)) % 0.36/0.57 (step @p204 :rule reordering :premises (@p203) :args ((or @t80 @t124 @t129 (not @t133)))) % 0.36/0.57 (step @p205 :rule chain_m_resolution :premises (@p204 @p137 @p202 @p196) :args (@t129 @t88 (@list @t79 @t123 @t133))) % 0.36/0.57 (step @p206 :rule cnf_equiv_pos1 :args (@t132)) % 0.36/0.57 (step @p207 :rule reordering :premises (@p206) :args ((or (not @t129) @t131 (not @t132)))) % 0.36/0.57 (step @p208 :rule chain_m_resolution :premises (@p207 @p205 @p195) :args (@t131 @t89 (@list @t129 @t132))) % 0.36/0.57 (step @p209 :rule symm :premises (@p208)) % 0.36/0.57 (step @p210 :rule trans :premises (@p209 @p184)) % 0.36/0.57 (step @p211 :rule symm :premises (@p210)) % 0.36/0.57 (step @p212 :rule true_intro :premises (@p211)) % 0.36/0.57 (step @p213 :rule cnf_or_neg :args (@t126 2)) % 0.36/0.57 (step @p214 :rule chain_m_resolution :premises (@p213 @p171) :args ((not @t122) @t82 @t127)) % 0.36/0.57 (step @p215 :rule false_intro :premises (@p214)) % 0.36/0.57 (step @p216 :rule symm :premises (@p215)) % 0.36/0.57 (step @p217 :rule trans :premises (@p216 @p212)) % 0.36/0.57 (step @p218 false :rule eq_resolve :premises (@p217 @p10)) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------