%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWB004+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 : n002.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 08:57:02 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB004+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 : n002.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 18:50:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.uri_owl_Thing $$unsorted) % 0.37/0.57 (declare-const tptp.uri_rdfs_Datatype $$unsorted) % 0.37/0.57 (declare-const tptp.uri_rdfs_Class $$unsorted) % 0.37/0.57 (declare-const tptp.uri_rdfs_subClassOf $$unsorted) % 0.37/0.57 (declare-const tptp.idc (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.uri_owl_equivalentClass $$unsorted) % 0.37/0.57 (declare-const tptp.ic (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.uri_owl_Class $$unsorted) % 0.37/0.57 (declare-const tptp.icext (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.uri_rdf_type $$unsorted) % 0.37/0.57 (declare-const tptp.ir (-> $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t2 () (tptp.ir @t1)) % 0.37/0.57 (define @t3 () (@list @t1)) % 0.37/0.57 (define @t4 () (@var "C" $$unsorted)) % 0.37/0.57 (define @t5 () (tptp.ic @t1)) % 0.37/0.57 (define @t6 () (tptp.idc @t1)) % 0.37/0.57 (define @t7 () (forall @t3 (=> @t6 @t5))) % 0.37/0.57 (define @t8 () (tptp.ic tptp.uri_owl_Class)) % 0.37/0.57 (define @t9 () (tptp.icext tptp.uri_owl_Class @t1)) % 0.37/0.57 (define @t10 () (forall @t3 (= @t9 @t5))) % 0.37/0.57 (define @t11 () (tptp.ic tptp.uri_rdfs_Class)) % 0.37/0.57 (define @t12 () (tptp.icext tptp.uri_rdfs_Class @t1)) % 0.37/0.57 (define @t13 () (forall @t3 (= @t12 @t5))) % 0.37/0.57 (define @t14 () (tptp.ic tptp.uri_rdfs_Datatype)) % 0.37/0.57 (define @t15 () (tptp.icext tptp.uri_rdfs_Datatype @t1)) % 0.37/0.57 (define @t16 () (forall @t3 (= @t15 @t6))) % 0.37/0.57 (define @t17 () (tptp.ic tptp.uri_owl_Thing)) % 0.37/0.57 (define @t18 () (tptp.icext tptp.uri_owl_Thing @t1)) % 0.37/0.57 (define @t19 () (forall @t3 (= @t18 @t2))) % 0.37/0.57 (define @t20 () (@var "C2" $$unsorted)) % 0.37/0.57 (define @t21 () (tptp.icext @t20 @t1)) % 0.37/0.57 (define @t22 () (@var "C1" $$unsorted)) % 0.37/0.57 (define @t23 () (tptp.icext @t22 @t1)) % 0.37/0.57 (define @t24 () (forall @t3 (=> @t23 @t21))) % 0.37/0.57 (define @t25 () (tptp.ic @t20)) % 0.37/0.57 (define @t26 () (tptp.ic @t22)) % 0.37/0.57 (define @t27 () (and @t26 @t25 @t24)) % 0.37/0.57 (define @t28 () (tptp.iext tptp.uri_rdfs_subClassOf @t22 @t20)) % 0.37/0.57 (define @t29 () (= @t28 @t27)) % 0.37/0.57 (define @t30 () (@list @t22 @t20)) % 0.37/0.57 (define @t31 () (forall @t30 @t29)) % 0.37/0.57 (define @t32 () (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Datatype tptp.uri_owl_Class)) % 0.37/0.57 (define @t33 () (tptp.iext tptp.uri_owl_equivalentClass tptp.uri_owl_Class tptp.uri_rdfs_Class)) % 0.37/0.57 (define @t34 () (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_owl_Class tptp.uri_owl_Thing)) % 0.37/0.57 (define @t35 () (tptp.iext tptp.uri_rdf_type tptp.uri_owl_Class tptp.uri_owl_Class)) % 0.37/0.57 (define @t36 () (tptp.iext tptp.uri_rdf_type tptp.uri_owl_Class tptp.uri_owl_Thing)) % 0.37/0.57 (define @t37 () (forall @t3 (or (not @t15) @t9))) % 0.37/0.57 (define @t38 () (@quantifiers_skolemize @t37 0)) % 0.37/0.57 (define @t39 () (@list @t38)) % 0.37/0.57 (define @t40 () (tptp.idc @t38)) % 0.37/0.57 (define @t41 () (tptp.icext tptp.uri_rdfs_Datatype @t38)) % 0.37/0.57 (define @t42 () (forall @t3 (= @t6 @t15))) % 0.37/0.57 (define @t43 () (= @t40 @t41)) % 0.37/0.57 (define @t44 () (= @t41 @t40)) % 0.37/0.57 (define @t45 () (@list false)) % 0.37/0.57 (define @t46 () (forall @t3 (= @t9 @t12))) % 0.37/0.57 (define @t47 () (@quantifiers_skolemize @t46 0)) % 0.37/0.57 (define @t48 () (tptp.icext tptp.uri_rdfs_Class @t47)) % 0.37/0.57 (define @t49 () (tptp.icext tptp.uri_owl_Class @t47)) % 0.37/0.57 (define @t50 () (= @t49 @t48)) % 0.37/0.57 (define @t51 () (tptp.ic @t47)) % 0.37/0.57 (define @t52 () (forall @t3 (= @t5 @t12))) % 0.37/0.57 (define @t53 () (= @t51 @t48)) % 0.37/0.57 (define @t54 () (@list @t47)) % 0.37/0.57 (define @t55 () (= @t48 @t51)) % 0.37/0.57 (define @t56 () (not @t55)) % 0.37/0.57 (define @t57 () (not @t51)) % 0.37/0.57 (define @t58 () (forall @t3 (= @t5 @t9))) % 0.37/0.57 (define @t59 () (= @t51 @t49)) % 0.37/0.57 (define @t60 () (= @t49 @t51)) % 0.37/0.57 (define @t61 () (@list @t58)) % 0.37/0.57 (define @t62 () (not @t60)) % 0.37/0.57 (define @t63 () (not @t50)) % 0.37/0.57 (define @t64 () (not @t46)) % 0.37/0.57 (define @t65 () (and @t8 @t11 @t46)) % 0.37/0.57 (define @t66 () (not @t8)) % 0.37/0.57 (define @t67 () (@list false false false)) % 0.37/0.57 (define @t68 () (= @t33 @t65)) % 0.37/0.57 (define @t69 () (@list false false)) % 0.37/0.57 (define @t70 () (@list tptp.uri_owl_Class tptp.uri_owl_Thing)) % 0.37/0.57 (define @t71 () (forall @t3 (or (not @t9) @t18))) % 0.37/0.57 (define @t72 () (@quantifiers_skolemize @t71 0)) % 0.37/0.57 (define @t73 () (tptp.ir @t72)) % 0.37/0.57 (define @t74 () (tptp.icext tptp.uri_owl_Thing @t72)) % 0.37/0.57 (define @t75 () (forall @t3 (= @t2 @t18))) % 0.37/0.57 (define @t76 () (= @t73 @t74)) % 0.37/0.57 (define @t77 () (@list @t72)) % 0.37/0.57 (define @t78 () (= @t74 @t73)) % 0.37/0.57 (define @t79 () (@list @t75)) % 0.37/0.57 (define @t80 () (or (not (tptp.icext tptp.uri_owl_Class @t72)) @t74)) % 0.37/0.57 (define @t81 () (not @t80)) % 0.37/0.57 (define @t82 () (not @t71)) % 0.37/0.57 (define @t83 () (and @t8 @t17 @t71)) % 0.37/0.57 (define @t84 () (= @t34 @t83)) % 0.37/0.57 (define @t85 () (@list tptp.uri_owl_Class)) % 0.37/0.57 (define @t86 () (tptp.icext tptp.uri_owl_Class tptp.uri_owl_Class)) % 0.37/0.57 (define @t87 () (= @t8 @t86)) % 0.37/0.57 (define @t88 () (= @t35 @t86)) % 0.37/0.57 (define @t89 () (tptp.ir tptp.uri_owl_Class)) % 0.37/0.57 (define @t90 () (tptp.icext tptp.uri_owl_Thing tptp.uri_owl_Class)) % 0.37/0.57 (define @t91 () (= @t89 @t90)) % 0.37/0.57 (define @t92 () (= @t90 @t89)) % 0.37/0.57 (define @t93 () (= @t36 @t90)) % 0.37/0.57 (define @t94 () (and @t14 @t8 @t37)) % 0.37/0.57 (define @t95 () (= @t32 @t94)) % 0.37/0.57 (define @t96 () (not @t94)) % 0.37/0.57 (define @t97 () (@list true false)) % 0.37/0.57 (define @t98 () (not @t37)) % 0.37/0.57 (define @t99 () (tptp.icext tptp.uri_owl_Class @t38)) % 0.37/0.57 (define @t100 () (not @t41)) % 0.37/0.57 (define @t101 () (or @t100 @t99)) % 0.37/0.57 (define @t102 () (not @t101)) % 0.37/0.57 (define @t103 () (@list true)) % 0.37/0.57 (define @t104 () (@list @t101)) % 0.37/0.57 (define @t105 () (tptp.ic @t38)) % 0.37/0.57 (define @t106 () (= @t105 @t99)) % 0.37/0.57 (define @t107 () (= @t99 @t105)) % 0.37/0.57 (define @t108 () (not @t105)) % 0.37/0.57 (define @t109 () (not @t40)) % 0.37/0.57 (define @t110 () (or @t109 @t105)) % 0.37/0.57 (assume @p1 (forall @t3 @t2)) % 0.37/0.57 (assume @p2 (forall (@list @t1 @t4) (= (tptp.iext tptp.uri_rdf_type @t1 @t4) (tptp.icext @t4 @t1)))) % 0.37/0.57 (assume @p3 @t7) % 0.37/0.57 (assume @p4 @t8) % 0.37/0.57 (assume @p5 @t10) % 0.37/0.57 (assume @p6 @t11) % 0.37/0.57 (assume @p7 @t13) % 0.37/0.57 (assume @p8 @t14) % 0.37/0.57 (assume @p9 @t16) % 0.37/0.57 (assume @p10 @t17) % 0.37/0.57 (assume @p11 @t19) % 0.37/0.57 (assume @p12 @t31) % 0.37/0.57 (assume @p13 (forall @t30 (= (tptp.iext tptp.uri_owl_equivalentClass @t22 @t20) (and @t26 @t25 (forall @t3 (= @t23 @t21)))))) % 0.37/0.57 (assume @p14 (not (and @t36 @t35 @t34 @t33 @t32))) % 0.37/0.57 (assume @p15 true) % 0.37/0.57 (step @p16 :rule bool-impl-elim :args (@t6 @t5)) % 0.37/0.57 (step @p17 :rule cong :premises (@p16) :args (@t7)) % 0.37/0.57 (step @p18 :rule eq_resolve :premises (@p3 @p17)) % 0.37/0.57 (step @p19 :rule instantiate :premises (@p18) :args (@t39)) % 0.37/0.57 (step @p20 :rule eq-symm :args (@t15 @t6)) % 0.37/0.57 (step @p21 :rule cong :premises (@p20) :args (@t16)) % 0.37/0.57 (step @p22 :rule eq_resolve :premises (@p9 @p21)) % 0.37/0.57 (step @p23 :rule eq-symm :args (@t40 @t41)) % 0.37/0.57 (step @p24 :rule refl :args (@t42)) % 0.37/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args ((=> @t42 @t43))) % 0.37/0.57 (assume-push @p205 @t42) % 0.37/0.57 (step @p27 :rule instantiate :premises (@p22) :args (@t39)) % 0.37/0.57 (step-pop @p206 :rule scope :premises (@p27)) % 0.37/0.57 (step @p28 :rule process_scope :premises (@p206) :args (@t43)) % 0.37/0.57 (step @p30 :rule eq_resolve :premises (@p28 @p25)) % 0.37/0.57 (step @p31 :rule implies_elim :premises (@p30)) % 0.37/0.57 (step @p32 :rule chain_m_resolution :premises (@p31 @p22) :args (@t44 @t45 (@list @t42))) % 0.37/0.57 (step @p33 :rule bool-impl-elim :args (@t23 @t21)) % 0.37/0.57 (step @p34 :rule cong :premises (@p33) :args (@t24)) % 0.37/0.57 (step @p35 :rule refl :args (@t25)) % 0.37/0.57 (step @p36 :rule refl :args (@t26)) % 0.37/0.57 (step @p37 :rule nary_cong :premises (@p36 @p35 @p34) :args (@t27)) % 0.37/0.57 (step @p38 :rule refl :args (@t28)) % 0.37/0.57 (step @p39 :rule cong :premises (@p38 @p37) :args (@t29)) % 0.37/0.57 (step @p40 :rule cong :premises (@p39) :args (@t31)) % 0.37/0.57 (step @p41 :rule eq_resolve :premises (@p12 @p40)) % 0.37/0.57 (step @p42 :rule instantiate :premises (@p41) :args ((@list tptp.uri_rdfs_Datatype tptp.uri_owl_Class))) % 0.37/0.57 (step @p43 :rule instantiate :premises (@p13) :args ((@list tptp.uri_owl_Class tptp.uri_rdfs_Class))) % 0.37/0.57 (step @p44 :rule cnf_equiv_neg1 :args (@t50)) % 0.37/0.57 (step @p45 :rule reordering :premises (@p44) :args ((or @t49 @t48 @t50))) % 0.37/0.57 (step @p46 :rule eq-symm :args (@t12 @t5)) % 0.37/0.57 (step @p47 :rule cong :premises (@p46) :args (@t13)) % 0.37/0.57 (step @p48 :rule eq_resolve :premises (@p7 @p47)) % 0.37/0.57 (step @p49 :rule eq-symm :args (@t51 @t48)) % 0.37/0.57 (step @p50 :rule refl :args (@t52)) % 0.37/0.57 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t52 @t53))) % 0.37/0.57 (assume-push @p207 @t52) % 0.37/0.57 (step @p53 :rule instantiate :premises (@p48) :args (@t54)) % 0.37/0.57 (step-pop @p208 :rule scope :premises (@p53)) % 0.37/0.57 (step @p54 :rule process_scope :premises (@p208) :args (@t53)) % 0.37/0.57 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 0.37/0.57 (step @p57 :rule implies_elim :premises (@p56)) % 0.37/0.57 (step @p58 :rule chain_m_resolution :premises (@p57 @p48) :args (@t55 @t45 (@list @t52))) % 0.37/0.57 (step @p59 :rule cnf_equiv_pos2 :args (@t55)) % 0.37/0.57 (step @p60 :rule reordering :premises (@p59) :args ((or @t48 @t57 @t56))) % 0.37/0.57 (step @p61 :rule eq-symm :args (@t9 @t5)) % 0.37/0.57 (step @p62 :rule cong :premises (@p61) :args (@t10)) % 0.37/0.57 (step @p63 :rule eq_resolve :premises (@p5 @p62)) % 0.37/0.57 (step @p64 :rule eq-symm :args (@t51 @t49)) % 0.37/0.57 (step @p65 :rule refl :args (@t58)) % 0.37/0.57 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t58 @t59))) % 0.37/0.57 (assume-push @p209 @t58) % 0.37/0.57 (step @p68 :rule instantiate :premises (@p63) :args (@t54)) % 0.37/0.57 (step-pop @p210 :rule scope :premises (@p68)) % 0.37/0.57 (step @p69 :rule process_scope :premises (@p210) :args (@t59)) % 0.37/0.57 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 0.37/0.57 (step @p72 :rule implies_elim :premises (@p71)) % 0.37/0.57 (step @p73 :rule chain_m_resolution :premises (@p72 @p63) :args (@t60 @t45 @t61)) % 0.37/0.57 (step @p74 :rule cnf_equiv_pos1 :args (@t60)) % 0.37/0.57 (step @p75 :rule reordering :premises (@p74) :args ((or (not @t49) @t51 @t62))) % 0.37/0.57 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p60 @p58 @p45) :args ((or @t48 @t50) (@list false true false false) (@list @t60 @t51 @t55 @t49))) % 0.37/0.57 (step @p77 :rule cnf_equiv_neg2 :args (@t50)) % 0.37/0.57 (step @p78 :rule cnf_equiv_pos1 :args (@t55)) % 0.37/0.57 (step @p79 :rule reordering :premises (@p78) :args ((or (not @t48) @t51 @t56))) % 0.37/0.57 (step @p80 :rule cnf_equiv_pos2 :args (@t60)) % 0.37/0.57 (step @p81 :rule reordering :premises (@p80) :args ((or @t49 @t57 @t62))) % 0.37/0.57 (step @p82 :rule chain_m_resolution :premises (@p81 @p73 @p79 @p58 @p77 @p76) :args (@t50 (@list false false false true false) (@list @t60 @t51 @t55 @t49 @t48))) % 0.37/0.57 (step @p83 :rule refl :args (@t63)) % 0.37/0.57 (step @p84 :rule bool-double-not-elim :args (@t46)) % 0.37/0.57 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or (not @t64) @t63))) % 0.37/0.57 (assume-push @p211 @t64) % 0.37/0.57 (step @p87 :rule skolemize :premises (@p211)) % 0.37/0.57 (step-pop @p212 :rule scope :premises (@p87)) % 0.37/0.57 (step @p88 :rule process_scope :premises (@p212) :args (@t63)) % 0.37/0.57 (step @p90 :rule implies_elim :premises (@p88)) % 0.37/0.57 (step @p91 :rule eq_resolve :premises (@p90 @p85)) % 0.37/0.57 (step @p92 :rule chain_m_resolution :premises (@p91 @p82) :args (@t46 @t45 (@list @t50))) % 0.37/0.57 (step @p93 :rule cnf_and_neg :args (@t65)) % 0.37/0.57 (step @p94 :rule reordering :premises (@p93) :args ((or @t66 (not @t11) @t65 @t64))) % 0.37/0.57 (step @p95 :rule chain_m_resolution :premises (@p94 @p4 @p6 @p92) :args (@t65 @t67 (@list @t8 @t11 @t46))) % 0.37/0.57 (step @p96 :rule cnf_equiv_pos2 :args (@t68)) % 0.37/0.57 (step @p97 :rule reordering :premises (@p96) :args ((or @t33 (not @t65) (not @t68)))) % 0.37/0.57 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p43) :args (@t33 @t69 (@list @t65 @t68))) % 0.37/0.57 (step @p99 :rule instantiate :premises (@p41) :args (@t70)) % 0.37/0.57 (step @p100 :rule eq-symm :args (@t18 @t2)) % 0.37/0.57 (step @p101 :rule cong :premises (@p100) :args (@t19)) % 0.37/0.57 (step @p102 :rule eq_resolve :premises (@p11 @p101)) % 0.37/0.57 (step @p103 :rule eq-symm :args (@t73 @t74)) % 0.37/0.57 (step @p104 :rule refl :args (@t75)) % 0.37/0.57 (step @p105 :rule cong :premises (@p104 @p103) :args ((=> @t75 @t76))) % 0.37/0.57 (assume-push @p213 @t75) % 0.37/0.57 (step @p107 :rule instantiate :premises (@p102) :args (@t77)) % 0.37/0.57 (step-pop @p214 :rule scope :premises (@p107)) % 0.37/0.57 (step @p108 :rule process_scope :premises (@p214) :args (@t76)) % 0.37/0.57 (step @p110 :rule eq_resolve :premises (@p108 @p105)) % 0.37/0.57 (step @p111 :rule implies_elim :premises (@p110)) % 0.37/0.57 (step @p112 :rule chain_m_resolution :premises (@p111 @p102) :args (@t78 @t45 @t79)) % 0.37/0.57 (step @p113 :rule instantiate :premises (@p1) :args (@t77)) % 0.37/0.57 (step @p114 :rule cnf_equiv_pos2 :args (@t78)) % 0.37/0.57 (step @p115 :rule reordering :premises (@p114) :args ((or @t74 (not @t73) (not @t78)))) % 0.37/0.57 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p112) :args (@t74 @t69 (@list @t73 @t78))) % 0.37/0.57 (step @p117 :rule cnf_or_neg :args (@t80 1)) % 0.37/0.57 (step @p118 :rule chain_m_resolution :premises (@p117 @p116) :args (@t80 @t45 (@list @t74))) % 0.37/0.57 (step @p119 :rule refl :args (@t81)) % 0.37/0.57 (step @p120 :rule bool-double-not-elim :args (@t71)) % 0.37/0.57 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or (not @t82) @t81))) % 0.37/0.57 (assume-push @p215 @t82) % 0.37/0.57 (step @p123 :rule skolemize :premises (@p215)) % 0.37/0.57 (step-pop @p216 :rule scope :premises (@p123)) % 0.37/0.57 (step @p124 :rule process_scope :premises (@p216) :args (@t81)) % 0.37/0.57 (step @p126 :rule implies_elim :premises (@p124)) % 0.37/0.57 (step @p127 :rule eq_resolve :premises (@p126 @p121)) % 0.37/0.57 (step @p128 :rule chain_m_resolution :premises (@p127 @p118) :args (@t71 @t45 (@list @t80))) % 0.37/0.57 (step @p129 :rule cnf_and_neg :args (@t83)) % 0.37/0.57 (step @p130 :rule reordering :premises (@p129) :args ((or @t66 (not @t17) @t83 @t82))) % 0.37/0.57 (step @p131 :rule chain_m_resolution :premises (@p130 @p4 @p10 @p128) :args (@t83 @t67 (@list @t8 @t17 @t71))) % 0.37/0.57 (step @p132 :rule cnf_equiv_pos2 :args (@t84)) % 0.37/0.57 (step @p133 :rule reordering :premises (@p132) :args ((or @t34 (not @t83) (not @t84)))) % 0.37/0.57 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p99) :args (@t34 @t69 (@list @t83 @t84))) % 0.37/0.57 (step @p135 :rule instantiate :premises (@p2) :args ((@list tptp.uri_owl_Class tptp.uri_owl_Class))) % 0.37/0.57 (step @p136 :rule instantiate :premises (@p63) :args (@t85)) % 0.37/0.57 (step @p137 :rule cnf_equiv_pos1 :args (@t87)) % 0.37/0.57 (step @p138 :rule reordering :premises (@p137) :args ((or @t66 @t86 (not @t87)))) % 0.37/0.57 (step @p139 :rule chain_m_resolution :premises (@p138 @p4 @p136) :args (@t86 @t69 (@list @t8 @t87))) % 0.37/0.57 (step @p140 :rule cnf_equiv_pos2 :args (@t88)) % 0.37/0.57 (step @p141 :rule reordering :premises (@p140) :args ((or @t35 (not @t86) (not @t88)))) % 0.37/0.57 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p135) :args (@t35 @t69 (@list @t86 @t88))) % 0.37/0.57 (step @p143 :rule instantiate :premises (@p2) :args (@t70)) % 0.37/0.57 (step @p144 :rule eq-symm :args (@t89 @t90)) % 0.37/0.57 (step @p145 :rule cong :premises (@p104 @p144) :args ((=> @t75 @t91))) % 0.37/0.57 (assume-push @p217 @t75) % 0.37/0.57 (step @p147 :rule instantiate :premises (@p102) :args (@t85)) % 0.37/0.57 (step-pop @p218 :rule scope :premises (@p147)) % 0.37/0.57 (step @p148 :rule process_scope :premises (@p218) :args (@t91)) % 0.37/0.57 (step @p150 :rule eq_resolve :premises (@p148 @p145)) % 0.37/0.57 (step @p151 :rule implies_elim :premises (@p150)) % 0.37/0.57 (step @p152 :rule chain_m_resolution :premises (@p151 @p102) :args (@t92 @t45 @t79)) % 0.37/0.57 (step @p153 :rule instantiate :premises (@p1) :args (@t85)) % 0.37/0.57 (step @p154 :rule cnf_equiv_pos2 :args (@t92)) % 0.37/0.57 (step @p155 :rule reordering :premises (@p154) :args ((or @t90 (not @t89) (not @t92)))) % 0.37/0.57 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p152) :args (@t90 @t69 (@list @t89 @t92))) % 0.37/0.57 (step @p157 :rule cnf_equiv_pos2 :args (@t93)) % 0.37/0.57 (step @p158 :rule reordering :premises (@p157) :args ((or @t36 (not @t90) (not @t93)))) % 0.37/0.57 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p143) :args (@t36 @t69 (@list @t90 @t93))) % 0.37/0.57 (step @p160 :rule not_and :premises (@p14)) % 0.37/0.57 (step @p161 :rule chain_m_resolution :premises (@p160 @p159 @p142 @p134 @p98) :args ((not @t32) (@list false false false false) (@list @t36 @t35 @t34 @t33))) % 0.37/0.57 (step @p162 :rule cnf_equiv_pos2 :args (@t95)) % 0.37/0.57 (step @p163 :rule reordering :premises (@p162) :args ((or @t32 @t96 (not @t95)))) % 0.37/0.57 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p42) :args (@t96 @t97 (@list @t32 @t95))) % 0.37/0.57 (step @p165 :rule cnf_and_neg :args (@t94)) % 0.37/0.57 (step @p166 :rule reordering :premises (@p165) :args ((or @t66 (not @t14) @t94 @t98))) % 0.37/0.57 (step @p167 :rule chain_m_resolution :premises (@p166 @p4 @p8 @p164) :args (@t98 (@list false false true) (@list @t8 @t14 @t94))) % 0.37/0.57 (step @p168 :rule refl :args (@t102)) % 0.37/0.57 (step @p169 :rule bool-double-not-elim :args (@t37)) % 0.37/0.57 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or (not @t98) @t102))) % 0.37/0.57 (assume-push @p219 @t98) % 0.37/0.57 (step @p172 :rule skolemize :premises (@p219)) % 0.37/0.57 (step-pop @p220 :rule scope :premises (@p172)) % 0.37/0.57 (step @p173 :rule process_scope :premises (@p220) :args (@t102)) % 0.37/0.57 (step @p175 :rule implies_elim :premises (@p173)) % 0.37/0.57 (step @p176 :rule eq_resolve :premises (@p175 @p170)) % 0.37/0.57 (step @p177 :rule chain_m_resolution :premises (@p176 @p167) :args (@t102 @t103 (@list @t37))) % 0.37/0.57 (step @p178 :rule bool-double-not-elim :args (@t41)) % 0.37/0.57 (step @p179 :rule refl :args (@t101)) % 0.37/0.57 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or @t101 (not @t100)))) % 0.37/0.57 (step @p181 :rule cnf_or_neg :args (@t101 0)) % 0.37/0.57 (step @p182 :rule eq_resolve :premises (@p181 @p180)) % 0.37/0.57 (step @p183 :rule reordering :premises (@p182) :args ((or @t41 @t101))) % 0.37/0.57 (step @p184 :rule chain_m_resolution :premises (@p183 @p177) :args (@t41 @t103 @t104)) % 0.37/0.57 (step @p185 :rule cnf_equiv_pos1 :args (@t44)) % 0.37/0.57 (step @p186 :rule reordering :premises (@p185) :args ((or @t100 @t40 (not @t44)))) % 0.37/0.57 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p32) :args (@t40 @t69 (@list @t41 @t44))) % 0.37/0.57 (step @p188 :rule eq-symm :args (@t105 @t99)) % 0.37/0.57 (step @p189 :rule cong :premises (@p65 @p188) :args ((=> @t58 @t106))) % 0.37/0.57 (assume-push @p221 @t58) % 0.37/0.57 (step @p191 :rule instantiate :premises (@p63) :args (@t39)) % 0.37/0.57 (step-pop @p222 :rule scope :premises (@p191)) % 0.37/0.57 (step @p192 :rule process_scope :premises (@p222) :args (@t106)) % 0.37/0.57 (step @p194 :rule eq_resolve :premises (@p192 @p189)) % 0.37/0.57 (step @p195 :rule implies_elim :premises (@p194)) % 0.37/0.57 (step @p196 :rule chain_m_resolution :premises (@p195 @p63) :args (@t107 @t45 @t61)) % 0.37/0.57 (step @p197 :rule cnf_or_neg :args (@t101 1)) % 0.37/0.57 (step @p198 :rule chain_m_resolution :premises (@p197 @p177) :args ((not @t99) @t103 @t104)) % 0.37/0.57 (step @p199 :rule cnf_equiv_pos2 :args (@t107)) % 0.37/0.57 (step @p200 :rule reordering :premises (@p199) :args ((or @t99 @t108 (not @t107)))) % 0.37/0.57 (step @p201 :rule chain_m_resolution :premises (@p200 @p198 @p196) :args (@t108 @t97 (@list @t99 @t107))) % 0.37/0.57 (step @p202 :rule cnf_or_pos :args (@t110)) % 0.37/0.57 (step @p203 :rule reordering :premises (@p202) :args ((or @t105 @t109 (not @t110)))) % 0.37/0.57 (step @p204 false :rule chain_m_resolution :premises (@p203 @p201 @p187 @p19) :args (false (@list true false false) (@list @t105 @t40 @t110))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------