%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM007+2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:10:23 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM007+2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n006.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 : Mon Jun 1 20:27:49 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.goal Bool) % 0.38/0.57 (declare-const tptp.b $$unsorted) % 0.38/0.57 (declare-const tptp.reflexive_rewrite (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.a $$unsorted) % 0.38/0.57 (declare-const tptp.rewrite (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.c $$unsorted) % 0.38/0.57 (define @t1 () (tptp.reflexive_rewrite tptp.a tptp.c)) % 0.38/0.57 (define @t2 () (tptp.reflexive_rewrite tptp.a tptp.b)) % 0.38/0.57 (define @t3 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t4 () (tptp.reflexive_rewrite tptp.c @t3)) % 0.38/0.57 (define @t5 () (tptp.reflexive_rewrite tptp.b @t3)) % 0.38/0.57 (define @t6 () (and @t5 @t4)) % 0.38/0.57 (define @t7 () (@list @t3)) % 0.38/0.57 (define @t8 () (forall @t7 (=> @t6 tptp.goal))) % 0.38/0.57 (define @t9 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t10 () (tptp.reflexive_rewrite @t3 @t9)) % 0.38/0.57 (define @t11 () (= @t3 @t9)) % 0.38/0.57 (define @t12 () (@list @t3 @t9)) % 0.38/0.57 (define @t13 () (forall @t12 (=> @t11 @t10))) % 0.38/0.57 (define @t14 () (tptp.rewrite @t3 @t9)) % 0.38/0.57 (define @t15 () (forall @t12 (=> @t14 @t10))) % 0.38/0.57 (define @t16 () (or @t11 @t14)) % 0.38/0.57 (define @t17 () (forall @t12 (=> @t10 @t16))) % 0.38/0.57 (define @t18 () (@var "D" $$unsorted)) % 0.38/0.57 (define @t19 () (@var "C" $$unsorted)) % 0.38/0.57 (define @t20 () (tptp.rewrite @t19 @t18)) % 0.38/0.57 (define @t21 () (tptp.rewrite @t9 @t18)) % 0.38/0.57 (define @t22 () (and @t21 @t20)) % 0.38/0.57 (define @t23 () (@list @t18)) % 0.38/0.57 (define @t24 () (exists @t23 @t22)) % 0.38/0.57 (define @t25 () (tptp.rewrite @t3 @t19)) % 0.38/0.57 (define @t26 () (and @t14 @t25)) % 0.38/0.57 (define @t27 () (=> @t26 @t24)) % 0.38/0.57 (define @t28 () (@list @t3 @t9 @t19)) % 0.38/0.57 (define @t29 () (forall @t28 @t27)) % 0.38/0.57 (define @t30 () (not @t4)) % 0.38/0.57 (define @t31 () (not @t5)) % 0.38/0.57 (define @t32 () (or @t31 @t30)) % 0.38/0.57 (define @t33 () (forall @t7 @t32)) % 0.38/0.57 (define @t34 () (or tptp.goal @t32)) % 0.38/0.57 (define @t35 () (or @t31 @t30 tptp.goal)) % 0.38/0.57 (define @t36 () (@list true)) % 0.38/0.57 (define @t37 () (forall @t23 (or (not (tptp.rewrite tptp.b @t18)) (not (tptp.rewrite tptp.c @t18))))) % 0.38/0.57 (define @t38 () (@quantifiers_skolemize @t37 0)) % 0.38/0.57 (define @t39 () (not (forall @t23 (or (not @t21) (not @t20))))) % 0.38/0.57 (define @t40 () (not @t25)) % 0.38/0.57 (define @t41 () (not @t14)) % 0.38/0.57 (define @t42 () (forall @t23 (not @t22))) % 0.38/0.57 (define @t43 () (not @t42)) % 0.38/0.57 (define @t44 () (not @t10)) % 0.38/0.57 (define @t45 () (@list tptp.b)) % 0.38/0.57 (define @t46 () (tptp.reflexive_rewrite @t9 @t9)) % 0.38/0.57 (define @t47 () (not (= @t9 @t9))) % 0.38/0.57 (define @t48 () (or @t47 @t46)) % 0.38/0.57 (define @t49 () (@list @t9)) % 0.38/0.57 (define @t50 () (not @t11)) % 0.38/0.57 (define @t51 () (or @t50 @t50 @t10)) % 0.38/0.57 (define @t52 () (or @t50 @t10)) % 0.38/0.57 (define @t53 () (forall @t7 @t52)) % 0.38/0.57 (define @t54 () (forall @t49 @t53)) % 0.38/0.57 (define @t55 () (forall (@list @t9 @t3) @t52)) % 0.38/0.57 (define @t56 () (tptp.reflexive_rewrite tptp.c tptp.b)) % 0.38/0.57 (define @t57 () (not @t56)) % 0.38/0.57 (define @t58 () (tptp.reflexive_rewrite tptp.b tptp.b)) % 0.38/0.57 (define @t59 () (not @t58)) % 0.38/0.57 (define @t60 () (or @t59 @t57)) % 0.38/0.57 (define @t61 () (@list false false)) % 0.38/0.57 (define @t62 () (= tptp.a tptp.c)) % 0.38/0.57 (define @t63 () (not @t62)) % 0.38/0.57 (define @t64 () (not @t2)) % 0.38/0.57 (define @t65 () (= true false)) % 0.38/0.57 (define @t66 () (and @t57 @t62 @t2)) % 0.38/0.57 (define @t67 () (@list false true)) % 0.38/0.57 (define @t68 () (tptp.rewrite tptp.a tptp.c)) % 0.38/0.57 (define @t69 () (not @t1)) % 0.38/0.57 (define @t70 () (or @t69 @t62 @t68)) % 0.38/0.57 (define @t71 () (@list false true false)) % 0.38/0.57 (define @t72 () (@list tptp.c)) % 0.38/0.57 (define @t73 () (tptp.reflexive_rewrite tptp.c tptp.c)) % 0.38/0.57 (define @t74 () (not @t73)) % 0.38/0.57 (define @t75 () (tptp.reflexive_rewrite tptp.b tptp.c)) % 0.38/0.57 (define @t76 () (not @t75)) % 0.38/0.57 (define @t77 () (or @t76 @t74)) % 0.38/0.57 (define @t78 () (tptp.rewrite tptp.b tptp.c)) % 0.38/0.57 (define @t79 () (not @t78)) % 0.38/0.57 (define @t80 () (or @t79 @t75)) % 0.38/0.57 (define @t81 () (@list true false)) % 0.38/0.57 (define @t82 () (not @t68)) % 0.38/0.57 (define @t83 () (= tptp.a tptp.b)) % 0.38/0.57 (define @t84 () (not @t83)) % 0.38/0.57 (define @t85 () (and @t79 @t83 @t68)) % 0.38/0.57 (define @t86 () (tptp.rewrite tptp.a tptp.b)) % 0.38/0.57 (define @t87 () (or @t64 @t83 @t86)) % 0.38/0.57 (define @t88 () (not @t37)) % 0.38/0.57 (define @t89 () (not @t86)) % 0.38/0.57 (define @t90 () (or @t89 @t82 @t88)) % 0.38/0.57 (define @t91 () (tptp.rewrite tptp.c @t38)) % 0.38/0.57 (define @t92 () (not @t91)) % 0.38/0.57 (define @t93 () (tptp.rewrite tptp.b @t38)) % 0.38/0.57 (define @t94 () (not @t93)) % 0.38/0.57 (define @t95 () (or @t94 @t92)) % 0.38/0.57 (define @t96 () (not @t95)) % 0.38/0.57 (define @t97 () (@list @t95)) % 0.38/0.57 (define @t98 () (tptp.reflexive_rewrite tptp.c @t38)) % 0.38/0.57 (define @t99 () (or @t92 @t98)) % 0.38/0.57 (define @t100 () (tptp.reflexive_rewrite tptp.b @t38)) % 0.38/0.57 (define @t101 () (or @t94 @t100)) % 0.38/0.57 (define @t102 () (not @t98)) % 0.38/0.57 (define @t103 () (not @t100)) % 0.38/0.57 (define @t104 () (or @t103 @t102)) % 0.38/0.57 (define @t105 () (not @t104)) % 0.38/0.57 (assume @p1 (and @t2 @t1)) % 0.38/0.57 (assume @p2 @t8) % 0.38/0.57 (assume @p3 @t13) % 0.38/0.57 (assume @p4 @t15) % 0.38/0.57 (assume @p5 @t17) % 0.38/0.57 (assume @p6 @t29) % 0.38/0.57 (assume @p7 (not tptp.goal)) % 0.38/0.57 (assume @p8 true) % 0.38/0.57 (step @p9 :rule quant-miniscope-or :args ((= (forall @t7 @t34) (or tptp.goal @t33)))) % 0.38/0.57 (step @p10 :rule aci_norm :args ((= @t35 @t34))) % 0.38/0.57 (step @p11 :rule cong :premises (@p10) :args ((forall @t7 @t35))) % 0.38/0.57 (step @p12 :rule trans :premises (@p11 @p9)) % 0.38/0.57 (step @p13 :rule aci_norm :args ((= (or @t32 tptp.goal) @t35))) % 0.38/0.57 (step @p14 :rule refl :args (tptp.goal)) % 0.38/0.57 (step @p15 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.38/0.57 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or (not @t6) tptp.goal))) % 0.38/0.57 (step @p17 :rule trans :premises (@p16 @p13)) % 0.38/0.57 (step @p18 :rule bool-impl-elim :args (@t6 tptp.goal)) % 0.38/0.57 (step @p19 :rule trans :premises (@p18 @p17)) % 0.38/0.57 (step @p20 :rule cong :premises (@p19) :args (@t8)) % 0.38/0.57 (step @p21 :rule trans :premises (@p20 @p12)) % 0.38/0.57 (step @p22 :rule eq_resolve :premises (@p2 @p21)) % 0.38/0.57 (step @p23 :rule chain_m_resolution :premises (@p22 @p7) :args (@t33 @t36 (@list tptp.goal))) % 0.38/0.57 (step @p24 :rule bool-impl-elim :args (@t14 @t10)) % 0.38/0.57 (step @p25 :rule cong :premises (@p24) :args (@t15)) % 0.38/0.57 (step @p26 :rule eq_resolve :premises (@p4 @p25)) % 0.38/0.57 (step @p27 :rule instantiate :premises (@p26) :args ((@list tptp.c @t38))) % 0.38/0.57 (step @p28 :rule aci_norm :args ((= (or (or @t41 @t40) @t39) (or @t41 @t40 @t39)))) % 0.38/0.57 (step @p29 :rule refl :args (@t39)) % 0.38/0.57 (step @p30 :rule bool-and-de-morgan :args (@t14 @t25 true)) % 0.38/0.57 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or (not @t26) @t39))) % 0.38/0.57 (step @p32 :rule trans :premises (@p31 @p28)) % 0.38/0.57 (step @p33 :rule bool-impl-elim :args (@t26 @t39)) % 0.38/0.57 (step @p34 :rule trans :premises (@p33 @p32)) % 0.38/0.57 (step @p35 :rule cong :premises (@p34) :args ((forall @t28 (=> @t26 @t39)))) % 0.38/0.57 (step @p36 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 0.38/0.57 (step @p37 :rule cong :premises (@p36) :args (@t42)) % 0.38/0.57 (step @p38 :rule cong :premises (@p37) :args (@t43)) % 0.38/0.57 (step @p39 :rule exists-elim :args ((= @t24 @t43))) % 0.38/0.57 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.57 (step @p41 :rule refl :args (@t26)) % 0.38/0.57 (step @p42 :rule cong :premises (@p41 @p40) :args (@t27)) % 0.38/0.57 (step @p43 :rule cong :premises (@p42) :args (@t29)) % 0.38/0.57 (step @p44 :rule trans :premises (@p43 @p35)) % 0.38/0.57 (step @p45 :rule eq_resolve :premises (@p6 @p44)) % 0.38/0.57 (step @p46 :rule instantiate :premises (@p45) :args ((@list tptp.a tptp.b tptp.c))) % 0.38/0.57 (step @p47 :rule aci_norm :args ((= (or @t44 @t16) (or @t44 @t11 @t14)))) % 0.38/0.57 (step @p48 :rule bool-impl-elim :args (@t10 @t16)) % 0.38/0.57 (step @p49 :rule trans :premises (@p48 @p47)) % 0.38/0.57 (step @p50 :rule cong :premises (@p49) :args (@t17)) % 0.38/0.57 (step @p51 :rule eq_resolve :premises (@p5 @p50)) % 0.38/0.57 (step @p52 :rule instantiate :premises (@p51) :args ((@list tptp.a tptp.c))) % 0.38/0.57 (step @p53 :rule instantiate :premises (@p23) :args (@t45)) % 0.38/0.57 (step @p54 :rule aci_norm :args ((= (or false @t46) @t46))) % 0.38/0.57 (step @p55 :rule refl :args (@t46)) % 0.38/0.57 (step @p56 :rule evaluate :args ((not true))) % 0.38/0.57 (step @p57 :rule eq-refl :args (@t9)) % 0.38/0.57 (step @p58 :rule cong :premises (@p57) :args (@t47)) % 0.38/0.57 (step @p59 :rule trans :premises (@p58 @p56)) % 0.38/0.57 (step @p60 :rule nary_cong :premises (@p59 @p55) :args (@t48)) % 0.38/0.57 (step @p61 :rule trans :premises (@p60 @p54)) % 0.38/0.57 (step @p62 :rule cong :premises (@p61) :args ((forall @t49 @t48))) % 0.38/0.57 (step @p63 :rule quant-var-elim-eq :args ((= (forall @t7 @t51) @t48))) % 0.38/0.57 (step @p64 :rule aci_norm :args ((= @t52 @t51))) % 0.38/0.57 (step @p65 :rule cong :premises (@p64) :args (@t53)) % 0.38/0.57 (step @p66 :rule trans :premises (@p65 @p63)) % 0.38/0.57 (step @p67 :rule cong :premises (@p66) :args (@t54)) % 0.38/0.57 (step @p68 :rule quant-merge-prenex :args ((= @t54 @t55))) % 0.38/0.57 (step @p69 :rule symm :premises (@p68)) % 0.38/0.57 (step @p70 :rule quant_var_reordering :args ((= (forall @t12 @t52) @t55))) % 0.38/0.57 (step @p71 :rule trans :premises (@p70 @p69 @p67)) % 0.38/0.57 (step @p72 :rule trans :premises (@p71 @p62)) % 0.38/0.57 (step @p73 :rule bool-impl-elim :args (@t11 @t10)) % 0.38/0.57 (step @p74 :rule cong :premises (@p73) :args (@t13)) % 0.38/0.57 (step @p75 :rule trans :premises (@p74 @p72)) % 0.38/0.57 (step @p76 :rule eq_resolve :premises (@p3 @p75)) % 0.38/0.57 (step @p77 :rule instantiate :premises (@p76) :args (@t45)) % 0.38/0.57 (step @p78 :rule cnf_or_pos :args (@t60)) % 0.38/0.57 (step @p79 :rule reordering :premises (@p78) :args ((or @t59 @t57 (not @t60)))) % 0.38/0.57 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p53) :args (@t57 @t61 (@list @t58 @t60))) % 0.38/0.57 (step @p81 :rule and_elim :premises (@p1) :args (0)) % 0.38/0.57 (step @p82 :rule bool-double-not-elim :args (@t56)) % 0.38/0.57 (step @p83 :rule refl :args (@t63)) % 0.38/0.57 (step @p84 :rule refl :args (@t64)) % 0.38/0.57 (step @p85 :rule nary_cong :premises (@p84 @p83 @p82) :args ((or @t64 @t63 (not @t57)))) % 0.38/0.57 (assume-push @p204 @t57) % 0.38/0.57 (assume-push @p205 @t62) % 0.38/0.57 (assume-push @p206 @t2) % 0.38/0.57 (step @p89 :rule evaluate :args (@t65)) % 0.38/0.57 (step @p90 :rule false_intro :premises (@p80)) % 0.38/0.57 (step @p91 :rule refl :args (tptp.b)) % 0.38/0.57 (step @p92 :rule cong :premises (@p205 @p91) :args (@t2)) % 0.38/0.57 (step @p93 :rule true_intro :premises (@p81)) % 0.38/0.57 (step @p94 :rule symm :premises (@p93)) % 0.38/0.57 (step @p95 :rule trans :premises (@p94 @p92 @p90)) % 0.38/0.57 (step @p96 false :rule eq_resolve :premises (@p95 @p89)) % 0.38/0.57 (step-pop @p207 :rule scope :premises (@p96)) % 0.38/0.57 (step-pop @p208 :rule scope :premises (@p207)) % 0.38/0.57 (step-pop @p209 :rule scope :premises (@p208)) % 0.38/0.57 (step @p97 :rule process_scope :premises (@p209) :args (false)) % 0.38/0.57 (assume-push @p210 @t2) % 0.38/0.57 (assume-push @p211 @t62) % 0.38/0.57 (assume-push @p212 @t57) % 0.38/0.57 (step @p104 :rule and_intro :premises (@p80 @p211 @p81)) % 0.38/0.57 (step-pop @p213 :rule scope :premises (@p104)) % 0.38/0.57 (step-pop @p214 :rule scope :premises (@p213)) % 0.38/0.57 (step-pop @p215 :rule scope :premises (@p214)) % 0.38/0.57 (step @p105 :rule process_scope :premises (@p215) :args (@t66)) % 0.38/0.57 (step @p109 :rule implies_elim :premises (@p105)) % 0.38/0.57 (step @p110 :rule resolution :premises (@p109 @p97) :args (true @t66)) % 0.38/0.57 (step @p111 :rule not_and :premises (@p110)) % 0.38/0.57 (step @p112 :rule eq_resolve :premises (@p111 @p85)) % 0.38/0.57 (step @p113 :rule chain_m_resolution :premises (@p112 @p81 @p80) :args (@t63 @t67 (@list @t2 @t56))) % 0.38/0.57 (step @p114 :rule and_elim :premises (@p1) :args (1)) % 0.38/0.57 (step @p115 :rule cnf_or_pos :args (@t70)) % 0.38/0.57 (step @p116 :rule reordering :premises (@p115) :args ((or @t69 @t62 @t68 (not @t70)))) % 0.38/0.57 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p113 @p52) :args (@t68 @t71 (@list @t1 @t62 @t70))) % 0.38/0.57 (step @p118 :rule instantiate :premises (@p51) :args ((@list tptp.a tptp.b))) % 0.38/0.57 (step @p119 :rule instantiate :premises (@p26) :args ((@list tptp.b tptp.c))) % 0.38/0.57 (step @p120 :rule instantiate :premises (@p23) :args (@t72)) % 0.38/0.57 (step @p121 :rule instantiate :premises (@p76) :args (@t72)) % 0.38/0.57 (step @p122 :rule cnf_or_pos :args (@t77)) % 0.38/0.57 (step @p123 :rule reordering :premises (@p122) :args ((or @t76 @t74 (not @t77)))) % 0.38/0.57 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p120) :args (@t76 @t61 (@list @t73 @t77))) % 0.38/0.57 (step @p125 :rule cnf_or_pos :args (@t80)) % 0.38/0.57 (step @p126 :rule reordering :premises (@p125) :args ((or @t75 @t79 (not @t80)))) % 0.38/0.57 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p119) :args (@t79 @t81 (@list @t75 @t80))) % 0.38/0.57 (step @p128 :rule bool-double-not-elim :args (@t78)) % 0.38/0.57 (step @p129 :rule refl :args (@t82)) % 0.38/0.57 (step @p130 :rule refl :args (@t84)) % 0.38/0.57 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128) :args ((or @t84 @t82 (not @t79)))) % 0.38/0.57 (assume-push @p216 @t79) % 0.38/0.57 (assume-push @p217 @t83) % 0.38/0.57 (assume-push @p218 @t68) % 0.38/0.57 (step @p89 :rule evaluate :args (@t65)) % 0.38/0.57 (step @p135 :rule false_intro :premises (@p127)) % 0.38/0.57 (step @p136 :rule refl :args (tptp.c)) % 0.38/0.57 (step @p137 :rule cong :premises (@p217 @p136) :args (@t68)) % 0.38/0.57 (step @p138 :rule true_intro :premises (@p218)) % 0.38/0.57 (step @p139 :rule symm :premises (@p138)) % 0.38/0.57 (step @p140 :rule trans :premises (@p139 @p137 @p135)) % 0.38/0.57 (step @p141 false :rule eq_resolve :premises (@p140 @p89)) % 0.38/0.57 (step-pop @p219 :rule scope :premises (@p141)) % 0.38/0.57 (step-pop @p220 :rule scope :premises (@p219)) % 0.38/0.57 (step-pop @p221 :rule scope :premises (@p220)) % 0.38/0.57 (step @p142 :rule process_scope :premises (@p221) :args (false)) % 0.38/0.57 (assume-push @p222 @t83) % 0.38/0.57 (assume-push @p223 @t68) % 0.38/0.57 (assume-push @p224 @t79) % 0.38/0.57 (step @p149 :rule and_intro :premises (@p127 @p222 @p223)) % 0.38/0.57 (step-pop @p225 :rule scope :premises (@p149)) % 0.38/0.57 (step-pop @p226 :rule scope :premises (@p225)) % 0.38/0.57 (step-pop @p227 :rule scope :premises (@p226)) % 0.38/0.57 (step @p150 :rule process_scope :premises (@p227) :args (@t85)) % 0.38/0.57 (step @p154 :rule implies_elim :premises (@p150)) % 0.38/0.57 (step @p155 :rule resolution :premises (@p154 @p142) :args (true @t85)) % 0.38/0.57 (step @p156 :rule not_and :premises (@p155)) % 0.38/0.57 (step @p157 :rule eq_resolve :premises (@p156 @p131)) % 0.38/0.57 (step @p158 :rule chain_m_resolution :premises (@p157 @p117 @p127) :args (@t84 @t67 (@list @t68 @t78))) % 0.38/0.57 (step @p159 :rule cnf_or_pos :args (@t87)) % 0.38/0.57 (step @p160 :rule reordering :premises (@p159) :args ((or @t64 @t83 @t86 (not @t87)))) % 0.38/0.57 (step @p161 :rule chain_m_resolution :premises (@p160 @p81 @p158 @p118) :args (@t86 @t71 (@list @t2 @t83 @t87))) % 0.38/0.57 (step @p162 :rule cnf_or_pos :args (@t90)) % 0.38/0.57 (step @p163 :rule reordering :premises (@p162) :args ((or @t89 @t82 @t88 (not @t90)))) % 0.38/0.57 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p117 @p46) :args (@t88 (@list false false false) (@list @t86 @t68 @t90))) % 0.38/0.57 (step @p165 :rule refl :args (@t96)) % 0.38/0.57 (step @p166 :rule bool-double-not-elim :args (@t37)) % 0.38/0.57 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or (not @t88) @t96))) % 0.38/0.57 (assume-push @p228 @t88) % 0.38/0.57 (step @p169 :rule skolemize :premises (@p228)) % 0.38/0.57 (step-pop @p229 :rule scope :premises (@p169)) % 0.38/0.57 (step @p170 :rule process_scope :premises (@p229) :args (@t96)) % 0.38/0.57 (step @p172 :rule implies_elim :premises (@p170)) % 0.38/0.57 (step @p173 :rule eq_resolve :premises (@p172 @p167)) % 0.38/0.57 (step @p174 :rule chain_m_resolution :premises (@p173 @p164) :args (@t96 @t36 (@list @t37))) % 0.38/0.57 (step @p175 :rule bool-double-not-elim :args (@t91)) % 0.38/0.57 (step @p176 :rule refl :args (@t95)) % 0.38/0.57 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or @t95 (not @t92)))) % 0.38/0.57 (step @p178 :rule cnf_or_neg :args (@t95 1)) % 0.38/0.57 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 0.38/0.57 (step @p180 :rule reordering :premises (@p179) :args ((or @t91 @t95))) % 0.38/0.57 (step @p181 :rule chain_m_resolution :premises (@p180 @p174) :args (@t91 @t36 @t97)) % 0.38/0.57 (step @p182 :rule cnf_or_pos :args (@t99)) % 0.38/0.57 (step @p183 :rule reordering :premises (@p182) :args ((or @t92 @t98 (not @t99)))) % 0.38/0.57 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p27) :args (@t98 @t61 (@list @t91 @t99))) % 0.38/0.57 (step @p185 :rule instantiate :premises (@p26) :args ((@list tptp.b @t38))) % 0.38/0.57 (step @p186 :rule bool-double-not-elim :args (@t93)) % 0.38/0.57 (step @p187 :rule nary_cong :premises (@p176 @p186) :args ((or @t95 (not @t94)))) % 0.38/0.57 (step @p188 :rule cnf_or_neg :args (@t95 0)) % 0.38/0.57 (step @p189 :rule eq_resolve :premises (@p188 @p187)) % 0.38/0.57 (step @p190 :rule reordering :premises (@p189) :args ((or @t93 @t95))) % 0.38/0.57 (step @p191 :rule chain_m_resolution :premises (@p190 @p174) :args (@t93 @t36 @t97)) % 0.38/0.57 (step @p192 :rule cnf_or_pos :args (@t101)) % 0.38/0.57 (step @p193 :rule reordering :premises (@p192) :args ((or @t94 @t100 (not @t101)))) % 0.38/0.57 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p185) :args (@t100 @t61 (@list @t93 @t101))) % 0.38/0.57 (step @p195 :rule cnf_or_pos :args (@t104)) % 0.38/0.57 (step @p196 :rule reordering :premises (@p195) :args ((or @t103 @t102 @t105))) % 0.38/0.57 (step @p197 :rule chain_m_resolution :premises (@p196 @p194 @p184) :args (@t105 @t61 (@list @t100 @t98))) % 0.38/0.57 (assume-push @p230 @t33) % 0.38/0.57 (step @p199 :rule instantiate :premises (@p23) :args ((@list @t38))) % 0.38/0.57 (step-pop @p231 :rule scope :premises (@p199)) % 0.38/0.57 (step @p200 :rule process_scope :premises (@p231) :args (@t104)) % 0.38/0.57 (step @p202 :rule implies_elim :premises (@p200)) % 0.38/0.57 (step @p203 false :rule chain_m_resolution :premises (@p202 @p197 @p23) :args (false @t81 (@list @t104 @t33))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------