%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWB031+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 : n003.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 08:57:15 AM UTC 2026 % Result : Unsatisfiable 0.43s 0.68s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB031+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 % 0.17/0.34 % Computer : n003.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 18:57:44 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.43/0.68 % SZS status Unsatisfiable % 0.43/0.68 % SZS output start Proof % 0.43/0.68 ( % 0.43/0.68 (declare-sort $$unsorted 0) % 0.43/0.68 (declare-const tptp.uri_ex_w $$unsorted) % 0.43/0.68 (declare-const tptp.uri_owl_equivalentClass $$unsorted) % 0.43/0.68 (declare-const tptp.uri_rdf_first $$unsorted) % 0.43/0.68 (declare-const tptp.uri_rdf_nil $$unsorted) % 0.43/0.68 (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.68 (declare-const tptp.ic (-> $$unsorted Bool)) % 0.43/0.68 (declare-const tptp.uri_owl_Nothing $$unsorted) % 0.43/0.68 (declare-const tptp.uri_owl_oneOf $$unsorted) % 0.43/0.68 (declare-const tptp.icext (-> $$unsorted $$unsorted Bool)) % 0.43/0.68 (declare-const tptp.uri_rdf_rest $$unsorted) % 0.43/0.68 (declare-const tptp.uri_owl_Thing $$unsorted) % 0.43/0.68 (declare-const tptp.ir (-> $$unsorted Bool)) % 0.43/0.68 (define @t1 () (@var "X" $$unsorted)) % 0.43/0.68 (define @t2 () (tptp.ir @t1)) % 0.43/0.68 (define @t3 () (@list @t1)) % 0.43/0.68 (define @t4 () (tptp.icext tptp.uri_owl_Thing @t1)) % 0.43/0.68 (define @t5 () (forall @t3 (= @t4 @t2))) % 0.43/0.68 (define @t6 () (tptp.icext tptp.uri_owl_Nothing @t1)) % 0.43/0.68 (define @t7 () (@var "A1" $$unsorted)) % 0.43/0.68 (define @t8 () (@var "Z" $$unsorted)) % 0.43/0.68 (define @t9 () (@var "S1" $$unsorted)) % 0.43/0.68 (define @t10 () (= (tptp.iext tptp.uri_owl_oneOf @t8 @t9) (and (tptp.ic @t8) (forall @t3 (= (tptp.icext @t8 @t1) (= @t1 @t7)))))) % 0.43/0.68 (define @t11 () (tptp.iext tptp.uri_rdf_rest @t9 tptp.uri_rdf_nil)) % 0.43/0.68 (define @t12 () (tptp.iext tptp.uri_rdf_first @t9 @t7)) % 0.43/0.68 (define @t13 () (and @t12 @t11)) % 0.43/0.68 (define @t14 () (forall (@list @t8 @t9 @t7) (=> @t13 @t10))) % 0.43/0.68 (define @t15 () (@var "C2" $$unsorted)) % 0.43/0.68 (define @t16 () (@var "C1" $$unsorted)) % 0.43/0.68 (define @t17 () (forall (@list @t16 @t15) (= (tptp.iext tptp.uri_owl_equivalentClass @t16 @t15) (and (tptp.ic @t16) (tptp.ic @t15) (forall @t3 (= (tptp.icext @t16 @t1) (tptp.icext @t15 @t1))))))) % 0.43/0.68 (define @t18 () (@var "BNODE_l" $$unsorted)) % 0.43/0.68 (define @t19 () (tptp.iext tptp.uri_rdf_rest @t18 tptp.uri_rdf_nil)) % 0.43/0.68 (define @t20 () (tptp.iext tptp.uri_rdf_first @t18 tptp.uri_ex_w)) % 0.43/0.68 (define @t21 () (@var "BNODE_x" $$unsorted)) % 0.43/0.68 (define @t22 () (tptp.iext tptp.uri_owl_oneOf @t21 @t18)) % 0.43/0.68 (define @t23 () (tptp.iext tptp.uri_owl_equivalentClass tptp.uri_owl_Thing @t21)) % 0.43/0.68 (define @t24 () (and @t23 @t22 @t20 @t19)) % 0.43/0.68 (define @t25 () (@list @t21 @t18)) % 0.43/0.68 (define @t26 () (exists @t25 @t24)) % 0.43/0.68 (define @t27 () (not @t19)) % 0.43/0.68 (define @t28 () (not @t20)) % 0.43/0.68 (define @t29 () (not @t22)) % 0.43/0.68 (define @t30 () (not @t23)) % 0.43/0.68 (define @t31 () (or @t30 @t29 @t28 @t27)) % 0.43/0.68 (define @t32 () (forall @t25 (not @t24))) % 0.43/0.68 (define @t33 () (not @t32)) % 0.43/0.68 (define @t34 () (forall @t25 @t31)) % 0.43/0.68 (define @t35 () (@quantifiers_skolemize @t34 0)) % 0.43/0.68 (define @t36 () (tptp.iext tptp.uri_owl_equivalentClass tptp.uri_owl_Thing @t35)) % 0.43/0.68 (define @t37 () (@quantifiers_skolemize @t34 1)) % 0.43/0.68 (define @t38 () (tptp.iext tptp.uri_rdf_rest @t37 tptp.uri_rdf_nil)) % 0.43/0.68 (define @t39 () (not @t38)) % 0.43/0.68 (define @t40 () (tptp.iext tptp.uri_rdf_first @t37 tptp.uri_ex_w)) % 0.43/0.68 (define @t41 () (not @t40)) % 0.43/0.68 (define @t42 () (tptp.iext tptp.uri_owl_oneOf @t35 @t37)) % 0.43/0.68 (define @t43 () (not @t42)) % 0.43/0.68 (define @t44 () (not @t36)) % 0.43/0.68 (define @t45 () (or @t44 @t43 @t41 @t39)) % 0.43/0.68 (define @t46 () (@list true)) % 0.43/0.68 (define @t47 () (@list @t45)) % 0.43/0.68 (define @t48 () (not @t11)) % 0.43/0.68 (define @t49 () (not @t12)) % 0.43/0.68 (define @t50 () (= @t1 tptp.uri_ex_w)) % 0.43/0.68 (define @t51 () (tptp.icext @t35 @t1)) % 0.43/0.68 (define @t52 () (forall @t3 (= @t51 @t50))) % 0.43/0.68 (define @t53 () (tptp.ic @t35)) % 0.43/0.68 (define @t54 () (and @t53 @t52)) % 0.43/0.68 (define @t55 () (= @t42 @t54)) % 0.43/0.68 (define @t56 () (or @t41 @t39 @t55)) % 0.43/0.68 (define @t57 () (@list false false)) % 0.43/0.68 (define @t58 () (@list false)) % 0.43/0.68 (define @t59 () (tptp.icext @t35 @t35)) % 0.43/0.68 (define @t60 () (= @t59 (= @t35 tptp.uri_ex_w))) % 0.43/0.68 (define @t61 () (@list @t35)) % 0.43/0.68 (define @t62 () (= tptp.uri_ex_w @t35)) % 0.43/0.68 (define @t63 () (= @t59 @t62)) % 0.43/0.68 (define @t64 () (@list @t52)) % 0.43/0.68 (define @t65 () (forall @t3 (= @t4 @t51))) % 0.43/0.68 (define @t66 () (and (tptp.ic tptp.uri_owl_Thing) @t53 @t65)) % 0.43/0.68 (define @t67 () (= @t36 @t66)) % 0.43/0.68 (define @t68 () (tptp.icext tptp.uri_owl_Thing @t35)) % 0.43/0.68 (define @t69 () (tptp.ir @t35)) % 0.43/0.68 (define @t70 () (= @t69 @t68)) % 0.43/0.68 (define @t71 () (= @t68 @t59)) % 0.43/0.68 (define @t72 () (@list tptp.uri_owl_Thing)) % 0.43/0.68 (define @t73 () (tptp.icext tptp.uri_owl_Thing tptp.uri_owl_Thing)) % 0.43/0.68 (define @t74 () (tptp.ir tptp.uri_owl_Thing)) % 0.43/0.68 (define @t75 () (= @t74 @t73)) % 0.43/0.68 (define @t76 () (tptp.icext @t35 tptp.uri_owl_Thing)) % 0.43/0.68 (define @t77 () (= @t73 @t76)) % 0.43/0.68 (define @t78 () (= tptp.uri_owl_Thing tptp.uri_ex_w)) % 0.43/0.69 (define @t79 () (= @t76 @t78)) % 0.43/0.69 (define @t80 () (forall @t3 (= @t51 @t6))) % 0.43/0.69 (define @t81 () (tptp.ic tptp.uri_owl_Nothing)) % 0.43/0.69 (define @t82 () (and @t53 @t81 @t80)) % 0.43/0.69 (define @t83 () (tptp.iext tptp.uri_owl_equivalentClass @t35 tptp.uri_owl_Nothing)) % 0.43/0.69 (define @t84 () (= @t83 @t82)) % 0.43/0.69 (define @t85 () (forall @t3 (= @t6 @t51))) % 0.43/0.69 (define @t86 () (and @t53 @t81 @t85)) % 0.43/0.69 (define @t87 () (= @t83 @t86)) % 0.43/0.69 (define @t88 () (tptp.icext @t35 tptp.uri_ex_w)) % 0.43/0.69 (define @t89 () (= @t88 (= tptp.uri_ex_w tptp.uri_ex_w))) % 0.43/0.69 (define @t90 () (@list tptp.uri_ex_w)) % 0.43/0.69 (define @t91 () (tptp.icext tptp.uri_owl_Nothing tptp.uri_ex_w)) % 0.43/0.69 (define @t92 () (= @t91 @t88)) % 0.43/0.69 (define @t93 () (not @t92)) % 0.43/0.69 (define @t94 () (@list true false)) % 0.43/0.69 (define @t95 () (not @t86)) % 0.43/0.69 (define @t96 () (not @t83)) % 0.43/0.69 (define @t97 () (forall @t3 (= @t4 @t50))) % 0.43/0.69 (define @t98 () (@quantifiers_skolemize @t97 0)) % 0.43/0.69 (define @t99 () (tptp.icext @t35 @t98)) % 0.43/0.69 (define @t100 () (= @t98 tptp.uri_ex_w)) % 0.43/0.69 (define @t101 () (= @t99 @t100)) % 0.43/0.69 (define @t102 () (@list @t98)) % 0.43/0.69 (define @t103 () (= tptp.uri_ex_w @t98)) % 0.43/0.69 (define @t104 () (= @t103 @t99)) % 0.43/0.69 (define @t105 () (tptp.ir @t98)) % 0.43/0.69 (define @t106 () (tptp.icext tptp.uri_owl_Thing @t98)) % 0.43/0.69 (define @t107 () (forall @t3 (= @t2 @t4))) % 0.43/0.69 (define @t108 () (= @t105 @t106)) % 0.43/0.69 (define @t109 () (= @t106 @t105)) % 0.43/0.69 (define @t110 () (= @t106 @t99)) % 0.43/0.69 (define @t111 () (= @t106 @t103)) % 0.43/0.69 (define @t112 () (not @t111)) % 0.43/0.69 (define @t113 () (not @t97)) % 0.43/0.69 (define @t114 () (= @t106 @t100)) % 0.43/0.69 (define @t115 () (not @t114)) % 0.43/0.69 (define @t116 () (@list tptp.uri_owl_Nothing)) % 0.43/0.69 (define @t117 () (= tptp.uri_owl_Nothing tptp.uri_ex_w)) % 0.43/0.69 (define @t118 () (tptp.icext tptp.uri_owl_Thing tptp.uri_owl_Nothing)) % 0.43/0.69 (define @t119 () (= @t118 @t117)) % 0.43/0.69 (define @t120 () (tptp.ir tptp.uri_owl_Nothing)) % 0.43/0.69 (define @t121 () (= @t120 @t118)) % 0.43/0.69 (define @t122 () (not @t117)) % 0.43/0.69 (define @t123 () (not @t78)) % 0.43/0.69 (define @t124 () (not @t62)) % 0.43/0.69 (define @t125 () (and @t36 @t78 @t62 @t117 @t96)) % 0.43/0.69 (assume @p1 (forall @t3 @t2)) % 0.43/0.69 (assume @p2 @t5) % 0.43/0.69 (assume @p3 (forall @t3 (not @t6))) % 0.43/0.69 (assume @p4 @t14) % 0.43/0.69 (assume @p5 @t17) % 0.43/0.69 (assume @p6 @t26) % 0.43/0.69 (step @p7 :rule aci_norm :args ((= (or @t30 (or @t29 (or @t28 @t27))) @t31))) % 0.43/0.69 (step @p8 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 0.43/0.69 (step @p9 :rule refl :args (@t29)) % 0.43/0.69 (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((or @t29 (not (and @t20 @t19))))) % 0.43/0.69 (step @p11 :rule bool-and-de-morgan :args (@t22 @t20 (and @t19))) % 0.43/0.69 (step @p12 :rule trans :premises (@p11 @p10)) % 0.43/0.69 (step @p13 :rule refl :args (@t30)) % 0.43/0.69 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or @t30 (not (and @t22 @t20 @t19))))) % 0.43/0.69 (step @p15 :rule bool-and-de-morgan :args (@t23 @t22 (and @t20 @t19))) % 0.43/0.69 (step @p16 :rule trans :premises (@p15 @p14)) % 0.43/0.69 (step @p17 :rule trans :premises (@p16 @p7)) % 0.43/0.69 (step @p18 :rule cong :premises (@p17) :args (@t32)) % 0.43/0.69 (step @p19 :rule cong :premises (@p18) :args (@t33)) % 0.43/0.69 (step @p20 :rule exists-elim :args ((= @t26 @t33))) % 0.43/0.69 (step @p21 :rule trans :premises (@p20 @p19)) % 0.43/0.69 (step @p22 :rule eq_resolve :premises (@p6 @p21)) % 0.43/0.69 (step @p23 :rule skolemize :premises (@p22)) % 0.43/0.69 (step @p24 :rule bool-double-not-elim :args (@t36)) % 0.43/0.69 (step @p25 :rule refl :args (@t45)) % 0.43/0.69 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or @t45 (not @t44)))) % 0.43/0.69 (step @p27 :rule cnf_or_neg :args (@t45 0)) % 0.43/0.69 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 0.43/0.69 (step @p29 :rule reordering :premises (@p28) :args ((or @t36 @t45))) % 0.43/0.69 (step @p30 :rule chain_m_resolution :premises (@p29 @p23) :args (@t36 @t46 @t47)) % 0.43/0.69 (step @p31 :rule aci_norm :args ((= (or (or @t49 @t48) @t10) (or @t49 @t48 @t10)))) % 0.43/0.69 (step @p32 :rule refl :args (@t10)) % 0.43/0.69 (step @p33 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.43/0.69 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or (not @t13) @t10))) % 0.43/0.69 (step @p35 :rule trans :premises (@p34 @p31)) % 0.43/0.69 (step @p36 :rule bool-impl-elim :args (@t13 @t10)) % 0.43/0.69 (step @p37 :rule trans :premises (@p36 @p35)) % 0.43/0.69 (step @p38 :rule cong :premises (@p37) :args (@t14)) % 0.43/0.69 (step @p39 :rule eq_resolve :premises (@p4 @p38)) % 0.43/0.69 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t35 @t37 tptp.uri_ex_w))) % 0.43/0.69 (step @p41 :rule bool-double-not-elim :args (@t38)) % 0.43/0.69 (step @p42 :rule nary_cong :premises (@p25 @p41) :args ((or @t45 (not @t39)))) % 0.43/0.69 (step @p43 :rule cnf_or_neg :args (@t45 3)) % 0.43/0.69 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 0.43/0.69 (step @p45 :rule reordering :premises (@p44) :args ((or @t38 @t45))) % 0.43/0.69 (step @p46 :rule chain_m_resolution :premises (@p45 @p23) :args (@t38 @t46 @t47)) % 0.43/0.69 (step @p47 :rule bool-double-not-elim :args (@t40)) % 0.43/0.69 (step @p48 :rule nary_cong :premises (@p25 @p47) :args ((or @t45 (not @t41)))) % 0.43/0.69 (step @p49 :rule cnf_or_neg :args (@t45 2)) % 0.43/0.69 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.43/0.69 (step @p51 :rule reordering :premises (@p50) :args ((or @t40 @t45))) % 0.43/0.69 (step @p52 :rule chain_m_resolution :premises (@p51 @p23) :args (@t40 @t46 @t47)) % 0.43/0.69 (step @p53 :rule cnf_or_pos :args (@t56)) % 0.43/0.69 (step @p54 :rule reordering :premises (@p53) :args ((or @t41 @t39 @t55 (not @t56)))) % 0.43/0.69 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p46 @p40) :args (@t55 (@list false false false) (@list @t40 @t38 @t56))) % 0.43/0.69 (step @p56 :rule bool-double-not-elim :args (@t42)) % 0.43/0.69 (step @p57 :rule nary_cong :premises (@p25 @p56) :args ((or @t45 (not @t43)))) % 0.43/0.69 (step @p58 :rule cnf_or_neg :args (@t45 1)) % 0.43/0.69 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.43/0.69 (step @p60 :rule reordering :premises (@p59) :args ((or @t42 @t45))) % 0.43/0.69 (step @p61 :rule chain_m_resolution :premises (@p60 @p23) :args (@t42 @t46 @t47)) % 0.43/0.69 (step @p62 :rule cnf_equiv_pos1 :args (@t55)) % 0.43/0.69 (step @p63 :rule reordering :premises (@p62) :args ((or @t43 @t54 (not @t55)))) % 0.43/0.69 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p55) :args (@t54 @t57 (@list @t42 @t55))) % 0.43/0.69 (step @p65 :rule cnf_and_pos :args (@t54 1)) % 0.43/0.69 (step @p66 :rule reordering :premises (@p65) :args ((or @t52 (not @t54)))) % 0.43/0.69 (step @p67 :rule chain_m_resolution :premises (@p66 @p64) :args (@t52 @t58 (@list @t54))) % 0.43/0.69 (step @p68 :rule eq-symm :args (@t35 tptp.uri_ex_w)) % 0.43/0.69 (step @p69 :rule refl :args (@t59)) % 0.43/0.69 (step @p70 :rule cong :premises (@p69 @p68) :args (@t60)) % 0.43/0.69 (step @p71 :rule refl :args (@t52)) % 0.43/0.69 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t52 @t60))) % 0.43/0.69 (assume-push @p272 @t52) % 0.43/0.69 (step @p74 :rule instantiate :premises (@p67) :args (@t61)) % 0.43/0.69 (step-pop @p273 :rule scope :premises (@p74)) % 0.43/0.69 (step @p75 :rule process_scope :premises (@p273) :args (@t60)) % 0.43/0.69 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 0.43/0.69 (step @p78 :rule implies_elim :premises (@p77)) % 0.43/0.69 (step @p79 :rule chain_m_resolution :premises (@p78 @p67) :args (@t63 @t58 @t64)) % 0.43/0.69 (step @p80 :rule instantiate :premises (@p5) :args ((@list tptp.uri_owl_Thing @t35))) % 0.43/0.69 (step @p81 :rule cnf_equiv_pos1 :args (@t67)) % 0.43/0.69 (step @p82 :rule reordering :premises (@p81) :args ((or @t44 @t66 (not @t67)))) % 0.43/0.69 (step @p83 :rule chain_m_resolution :premises (@p82 @p30 @p80) :args (@t66 @t57 (@list @t36 @t67))) % 0.43/0.69 (step @p84 :rule cnf_and_pos :args (@t66 2)) % 0.43/0.69 (step @p85 :rule reordering :premises (@p84) :args ((or @t65 (not @t66)))) % 0.43/0.69 (step @p86 :rule chain_m_resolution :premises (@p85 @p83) :args (@t65 @t58 (@list @t66))) % 0.43/0.69 (step @p87 :rule instantiate :premises (@p86) :args (@t61)) % 0.43/0.69 (step @p88 :rule eq-symm :args (@t4 @t2)) % 0.43/0.69 (step @p89 :rule cong :premises (@p88) :args (@t5)) % 0.43/0.69 (step @p90 :rule eq_resolve :premises (@p2 @p89)) % 0.43/0.69 (step @p91 :rule instantiate :premises (@p90) :args (@t61)) % 0.43/0.69 (step @p92 :rule instantiate :premises (@p1) :args (@t61)) % 0.43/0.69 (step @p93 :rule cnf_equiv_pos1 :args (@t70)) % 0.43/0.69 (step @p94 :rule reordering :premises (@p93) :args ((or @t68 (not @t69) (not @t70)))) % 0.43/0.69 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p91) :args (@t68 @t57 (@list @t69 @t70))) % 0.43/0.69 (step @p96 :rule cnf_equiv_pos1 :args (@t71)) % 0.43/0.69 (step @p97 :rule reordering :premises (@p96) :args ((or @t59 (not @t68) (not @t71)))) % 0.43/0.69 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p87) :args (@t59 @t57 (@list @t68 @t71))) % 0.43/0.69 (step @p99 :rule cnf_equiv_pos1 :args (@t63)) % 0.43/0.69 (step @p100 :rule reordering :premises (@p99) :args ((or @t62 (not @t59) (not @t63)))) % 0.43/0.69 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p79) :args (@t62 @t57 (@list @t59 @t63))) % 0.43/0.69 (step @p102 :rule instantiate :premises (@p67) :args (@t72)) % 0.43/0.69 (step @p103 :rule instantiate :premises (@p86) :args (@t72)) % 0.43/0.69 (step @p104 :rule instantiate :premises (@p90) :args (@t72)) % 0.43/0.69 (step @p105 :rule instantiate :premises (@p1) :args (@t72)) % 0.43/0.69 (step @p106 :rule cnf_equiv_pos1 :args (@t75)) % 0.43/0.69 (step @p107 :rule reordering :premises (@p106) :args ((or @t73 (not @t74) (not @t75)))) % 0.43/0.69 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p104) :args (@t73 @t57 (@list @t74 @t75))) % 0.43/0.69 (step @p109 :rule cnf_equiv_pos1 :args (@t77)) % 0.43/0.69 (step @p110 :rule reordering :premises (@p109) :args ((or @t76 (not @t73) (not @t77)))) % 0.43/0.69 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p103) :args (@t76 @t57 (@list @t73 @t77))) % 0.43/0.69 (step @p112 :rule cnf_equiv_pos1 :args (@t79)) % 0.43/0.69 (step @p113 :rule reordering :premises (@p112) :args ((or @t78 (not @t76) (not @t79)))) % 0.43/0.69 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p102) :args (@t78 @t57 (@list @t76 @t79))) % 0.43/0.69 (step @p115 :rule eq-symm :args (@t51 @t6)) % 0.43/0.69 (step @p116 :rule cong :premises (@p115) :args (@t80)) % 0.43/0.69 (step @p117 :rule refl :args (@t81)) % 0.43/0.69 (step @p118 :rule refl :args (@t53)) % 0.43/0.69 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116) :args (@t82)) % 0.43/0.69 (step @p120 :rule refl :args (@t83)) % 0.43/0.69 (step @p121 :rule cong :premises (@p120 @p119) :args (@t84)) % 0.43/0.69 (step @p122 :rule refl :args (@t17)) % 0.43/0.69 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t17 @t84))) % 0.43/0.69 (assume-push @p274 @t17) % 0.43/0.69 (step @p125 :rule instantiate :premises (@p5) :args ((@list @t35 tptp.uri_owl_Nothing))) % 0.43/0.69 (step-pop @p275 :rule scope :premises (@p125)) % 0.43/0.69 (step @p126 :rule process_scope :premises (@p275) :args (@t84)) % 0.43/0.69 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 0.43/0.69 (step @p129 :rule implies_elim :premises (@p128)) % 0.43/0.69 (step @p130 :rule chain_m_resolution :premises (@p129 @p5) :args (@t87 @t58 (@list @t17))) % 0.43/0.69 (step @p131 :rule bool-eq-true :args (@t88)) % 0.43/0.69 (step @p132 :rule eq-refl :args (tptp.uri_ex_w)) % 0.43/0.69 (step @p133 :rule refl :args (@t88)) % 0.43/0.69 (step @p134 :rule cong :premises (@p133 @p132) :args (@t89)) % 0.43/0.69 (step @p135 :rule trans :premises (@p134 @p131)) % 0.43/0.69 (step @p136 :rule cong :premises (@p71 @p135) :args ((=> @t52 @t89))) % 0.43/0.69 (assume-push @p276 @t52) % 0.43/0.69 (step @p138 :rule instantiate :premises (@p67) :args (@t90)) % 0.43/0.69 (step-pop @p277 :rule scope :premises (@p138)) % 0.43/0.69 (step @p139 :rule process_scope :premises (@p277) :args (@t89)) % 0.43/0.69 (step @p141 :rule eq_resolve :premises (@p139 @p136)) % 0.43/0.69 (step @p142 :rule implies_elim :premises (@p141)) % 0.43/0.69 (step @p143 :rule chain_m_resolution :premises (@p142 @p67) :args (@t88 @t58 @t64)) % 0.43/0.69 (step @p144 :rule instantiate :premises (@p3) :args (@t90)) % 0.43/0.69 (step @p145 :rule cnf_equiv_pos2 :args (@t92)) % 0.43/0.69 (step @p146 :rule reordering :premises (@p145) :args ((or @t91 (not @t88) @t93))) % 0.43/0.69 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p143) :args (@t93 @t94 (@list @t91 @t88))) % 0.43/0.69 (assume-push @p278 @t85) % 0.43/0.69 (step @p149 :rule instantiate :premises (@p278) :args (@t90)) % 0.43/0.69 (step-pop @p279 :rule scope :premises (@p149)) % 0.43/0.69 (step @p150 :rule process_scope :premises (@p279) :args (@t92)) % 0.43/0.69 (step @p152 :rule implies_elim :premises (@p150)) % 0.43/0.69 (step @p153 :rule chain_m_resolution :premises (@p152 @p147) :args ((not @t85) @t46 (@list @t92))) % 0.43/0.69 (step @p154 :rule cnf_and_pos :args (@t86 2)) % 0.43/0.69 (step @p155 :rule reordering :premises (@p154) :args ((or @t85 @t95))) % 0.43/0.69 (step @p156 :rule chain_m_resolution :premises (@p155 @p153) :args (@t95 @t46 (@list @t85))) % 0.43/0.69 (step @p157 :rule cnf_equiv_pos1 :args (@t87)) % 0.43/0.69 (step @p158 :rule reordering :premises (@p157) :args ((or @t86 @t96 (not @t87)))) % 0.43/0.69 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p130) :args (@t96 @t94 (@list @t86 @t87))) % 0.43/0.69 (step @p160 :rule refl :args (@t99)) % 0.43/0.69 (step @p161 :rule eq-symm :args (@t98 tptp.uri_ex_w)) % 0.43/0.69 (step @p162 :rule cong :premises (@p161 @p160) :args ((= @t100 @t99))) % 0.43/0.69 (step @p163 :rule eq-symm :args (@t99 @t100)) % 0.43/0.69 (step @p164 :rule trans :premises (@p163 @p162)) % 0.43/0.69 (step @p165 :rule cong :premises (@p71 @p164) :args ((=> @t52 @t101))) % 0.43/0.69 (assume-push @p280 @t52) % 0.43/0.69 (step @p167 :rule instantiate :premises (@p67) :args (@t102)) % 0.43/0.69 (step-pop @p281 :rule scope :premises (@p167)) % 0.43/0.69 (step @p168 :rule process_scope :premises (@p281) :args (@t101)) % 0.43/0.69 (step @p170 :rule eq_resolve :premises (@p168 @p165)) % 0.43/0.69 (step @p171 :rule implies_elim :premises (@p170)) % 0.43/0.69 (step @p172 :rule chain_m_resolution :premises (@p171 @p67) :args (@t104 @t58 @t64)) % 0.43/0.69 (step @p173 :rule instantiate :premises (@p86) :args (@t102)) % 0.43/0.69 (step @p174 :rule eq-symm :args (@t105 @t106)) % 0.43/0.69 (step @p175 :rule refl :args (@t107)) % 0.43/0.69 (step @p176 :rule cong :premises (@p175 @p174) :args ((=> @t107 @t108))) % 0.43/0.69 (assume-push @p282 @t107) % 0.43/0.69 (step @p178 :rule instantiate :premises (@p90) :args (@t102)) % 0.43/0.69 (step-pop @p283 :rule scope :premises (@p178)) % 0.43/0.69 (step @p179 :rule process_scope :premises (@p283) :args (@t108)) % 0.43/0.69 (step @p181 :rule eq_resolve :premises (@p179 @p176)) % 0.43/0.69 (step @p182 :rule implies_elim :premises (@p181)) % 0.43/0.69 (step @p183 :rule chain_m_resolution :premises (@p182 @p90) :args (@t109 @t58 (@list @t107))) % 0.43/0.69 (step @p184 :rule instantiate :premises (@p1) :args (@t102)) % 0.43/0.69 (step @p185 :rule cnf_equiv_pos2 :args (@t109)) % 0.43/0.69 (step @p186 :rule reordering :premises (@p185) :args ((or @t106 (not @t105) (not @t109)))) % 0.43/0.69 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p183) :args (@t106 @t57 (@list @t105 @t109))) % 0.43/0.69 (step @p188 :rule cnf_equiv_pos1 :args (@t110)) % 0.43/0.69 (step @p189 :rule reordering :premises (@p188) :args ((or (not @t106) @t99 (not @t110)))) % 0.43/0.69 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p173) :args (@t99 @t57 (@list @t106 @t110))) % 0.43/0.69 (step @p191 :rule cnf_equiv_pos2 :args (@t104)) % 0.43/0.69 (step @p192 :rule reordering :premises (@p191) :args ((or @t103 (not @t99) (not @t104)))) % 0.43/0.69 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p172) :args (@t103 @t57 (@list @t99 @t104))) % 0.43/0.69 (step @p194 :rule cnf_equiv_neg2 :args (@t111)) % 0.43/0.69 (step @p195 :rule chain_m_resolution :premises (@p194 @p187 @p193) :args (@t111 @t57 (@list @t106 @t103))) % 0.43/0.69 (step @p196 :rule refl :args (@t112)) % 0.43/0.69 (step @p197 :rule bool-double-not-elim :args (@t97)) % 0.43/0.69 (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or (not @t113) @t112))) % 0.43/0.69 (step @p199 :rule refl :args (@t106)) % 0.43/0.69 (step @p200 :rule cong :premises (@p199 @p161) :args (@t114)) % 0.43/0.69 (step @p201 :rule cong :premises (@p200) :args (@t115)) % 0.43/0.69 (step @p202 :rule refl :args (@t113)) % 0.43/0.69 (step @p203 :rule cong :premises (@p202 @p201) :args ((=> @t113 @t115))) % 0.43/0.69 (assume-push @p284 @t113) % 0.43/0.69 (step @p205 :rule skolemize :premises (@p284)) % 0.43/0.69 (step-pop @p285 :rule scope :premises (@p205)) % 0.43/0.69 (step @p206 :rule process_scope :premises (@p285) :args (@t115)) % 0.43/0.69 (step @p208 :rule eq_resolve :premises (@p206 @p203)) % 0.43/0.69 (step @p209 :rule implies_elim :premises (@p208)) % 0.43/0.69 (step @p210 :rule eq_resolve :premises (@p209 @p198)) % 0.43/0.69 (step @p211 :rule chain_m_resolution :premises (@p210 @p195) :args (@t97 @t58 (@list @t111))) % 0.43/0.69 (assume-push @p286 @t97) % 0.43/0.69 (step @p213 :rule instantiate :premises (@p286) :args (@t116)) % 0.43/0.69 (step-pop @p287 :rule scope :premises (@p213)) % 0.43/0.69 (step @p214 :rule process_scope :premises (@p287) :args (@t119)) % 0.43/0.69 (step @p216 :rule implies_elim :premises (@p214)) % 0.43/0.69 (step @p217 :rule chain_m_resolution :premises (@p216 @p211) :args (@t119 @t58 (@list @t97))) % 0.43/0.69 (step @p218 :rule instantiate :premises (@p90) :args (@t116)) % 0.43/0.69 (step @p219 :rule instantiate :premises (@p1) :args (@t116)) % 0.43/0.69 (step @p220 :rule cnf_equiv_pos1 :args (@t121)) % 0.43/0.69 (step @p221 :rule reordering :premises (@p220) :args ((or @t118 (not @t120) (not @t121)))) % 0.43/0.69 (step @p222 :rule chain_m_resolution :premises (@p221 @p219 @p218) :args (@t118 @t57 (@list @t120 @t121))) % 0.43/0.69 (step @p223 :rule cnf_equiv_pos1 :args (@t119)) % 0.43/0.69 (step @p224 :rule reordering :premises (@p223) :args ((or @t117 (not @t118) (not @t119)))) % 0.43/0.69 (step @p225 :rule chain_m_resolution :premises (@p224 @p222 @p217) :args (@t117 @t57 (@list @t118 @t119))) % 0.43/0.69 (step @p226 :rule refl :args (@t122)) % 0.43/0.69 (step @p227 :rule bool-double-not-elim :args (@t83)) % 0.43/0.69 (step @p228 :rule refl :args (@t123)) % 0.43/0.69 (step @p229 :rule refl :args (@t124)) % 0.43/0.69 (step @p230 :rule refl :args (@t44)) % 0.43/0.69 (step @p231 :rule nary_cong :premises (@p230 @p229 @p228 @p227 @p226) :args ((or @t44 @t124 @t123 (not @t96) @t122))) % 0.43/0.69 (assume-push @p288 @t36) % 0.43/0.69 (assume-push @p289 @t78) % 0.43/0.69 (assume-push @p290 @t62) % 0.43/0.69 (assume-push @p291 @t117) % 0.43/0.69 (assume-push @p292 @t96) % 0.43/0.69 (step @p237 :rule evaluate :args ((= false true))) % 0.43/0.69 (step @p238 :rule true_intro :premises (@p30)) % 0.43/0.69 (step @p239 :rule trans :premises (@p291 @p101)) % 0.43/0.69 (step @p240 :rule symm :premises (@p114)) % 0.43/0.69 (step @p241 :rule symm :premises (@p101)) % 0.43/0.69 (step @p242 :rule trans :premises (@p241 @p240)) % 0.43/0.69 (step @p243 :rule refl :args (tptp.uri_owl_equivalentClass)) % 0.43/0.69 (step @p244 :rule cong :premises (@p243 @p242 @p239) :args (@t83)) % 0.43/0.69 (step @p245 :rule false_intro :premises (@p292)) % 0.43/0.69 (step @p246 :rule symm :premises (@p245)) % 0.43/0.69 (step @p247 :rule trans :premises (@p246 @p244 @p238)) % 0.43/0.69 (step @p248 false :rule eq_resolve :premises (@p247 @p237)) % 0.43/0.69 (step-pop @p293 :rule scope :premises (@p248)) % 0.43/0.69 (step-pop @p294 :rule scope :premises (@p293)) % 0.43/0.69 (step-pop @p295 :rule scope :premises (@p294)) % 0.43/0.69 (step-pop @p296 :rule scope :premises (@p295)) % 0.43/0.69 (step-pop @p297 :rule scope :premises (@p296)) % 0.43/0.69 (step @p249 :rule process_scope :premises (@p297) :args (false)) % 0.43/0.69 (assume-push @p298 @t36) % 0.43/0.69 (assume-push @p299 @t62) % 0.43/0.69 (assume-push @p300 @t78) % 0.43/0.69 (assume-push @p301 @t96) % 0.43/0.69 (assume-push @p302 @t117) % 0.43/0.69 (step @p260 :rule and_intro :premises (@p30 @p114 @p101 @p302 @p301)) % 0.43/0.69 (step-pop @p303 :rule scope :premises (@p260)) % 0.43/0.69 (step-pop @p304 :rule scope :premises (@p303)) % 0.43/0.69 (step-pop @p305 :rule scope :premises (@p304)) % 0.43/0.69 (step-pop @p306 :rule scope :premises (@p305)) % 0.43/0.69 (step-pop @p307 :rule scope :premises (@p306)) % 0.43/0.69 (step @p261 :rule process_scope :premises (@p307) :args (@t125)) % 0.43/0.69 (step @p267 :rule implies_elim :premises (@p261)) % 0.43/0.69 (step @p268 :rule resolution :premises (@p267 @p249) :args (true @t125)) % 0.43/0.69 (step @p269 :rule not_and :premises (@p268)) % 0.43/0.69 (step @p270 :rule eq_resolve :premises (@p269 @p231)) % 0.43/0.69 (step @p271 false :rule chain_m_resolution :premises (@p270 @p225 @p159 @p114 @p101 @p30) :args (false (@list false true false false false) (@list @t117 @t83 @t78 @t62 @t36))) % 0.43/0.69 ) % 0.43/0.69 % SZS output end Proof % 0.43/0.69 % cvc5 exiting %------------------------------------------------------------------------------