%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN010-5 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:22:55 AM UTC 2026 % Result : Unsatisfiable 0.53s 0.70s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : HEN010-5 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 02:17:28 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.70 % SZS status Unsatisfiable % 0.53/0.70 % SZS output start Proof % 0.53/0.71 ( % 0.53/0.71 (declare-sort $$unsorted 0) % 0.53/0.71 (declare-const tptp.a $$unsorted) % 0.53/0.71 (declare-const tptp.identity $$unsorted) % 0.53/0.71 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.71 (declare-const tptp.zero $$unsorted) % 0.53/0.71 (define @t1 () (@var "X" $$unsorted)) % 0.53/0.71 (define @t2 () (@var "Y" $$unsorted)) % 0.53/0.71 (define @t3 () (tptp.divide @t1 @t2)) % 0.53/0.71 (define @t4 () (tptp.divide @t3 @t1)) % 0.53/0.71 (define @t5 () (@list @t1 @t2)) % 0.53/0.71 (define @t6 () (forall @t5 (= @t4 tptp.zero))) % 0.53/0.71 (define @t7 () (@var "Z" $$unsorted)) % 0.53/0.71 (define @t8 () (tptp.divide @t3 @t7)) % 0.53/0.71 (define @t9 () (tptp.divide @t2 @t7)) % 0.53/0.71 (define @t10 () (tptp.divide @t1 @t7)) % 0.53/0.71 (define @t11 () (tptp.divide @t10 @t9)) % 0.53/0.71 (define @t12 () (tptp.divide @t11 @t8)) % 0.53/0.71 (define @t13 () (forall (@list @t1 @t7 @t2) (= @t12 tptp.zero))) % 0.53/0.71 (define @t14 () (@list @t1)) % 0.53/0.71 (define @t15 () (= @t1 @t2)) % 0.53/0.71 (define @t16 () (tptp.divide @t2 @t1)) % 0.53/0.71 (define @t17 () (not (= @t16 tptp.zero))) % 0.53/0.71 (define @t18 () (not (= @t3 tptp.zero))) % 0.53/0.71 (define @t19 () (or @t18 @t17 @t15)) % 0.53/0.71 (define @t20 () (forall @t5 @t19)) % 0.53/0.71 (define @t21 () (tptp.divide @t1 tptp.identity)) % 0.53/0.71 (define @t22 () (forall @t14 (= @t21 tptp.zero))) % 0.53/0.71 (define @t23 () (not (= @t9 tptp.zero))) % 0.53/0.71 (define @t24 () (or @t18 @t23 (= @t10 tptp.zero))) % 0.53/0.71 (define @t25 () (@list @t1 @t2 @t7)) % 0.53/0.71 (define @t26 () (forall @t25 @t24)) % 0.53/0.71 (define @t27 () (tptp.divide @t10 @t2)) % 0.53/0.71 (define @t28 () (not (= @t8 tptp.zero))) % 0.53/0.71 (define @t29 () (or @t28 (= @t27 tptp.zero))) % 0.53/0.71 (define @t30 () (forall @t25 @t29)) % 0.53/0.71 (define @t31 () (or @t18 (= @t11 tptp.zero))) % 0.53/0.71 (define @t32 () (forall @t25 @t31)) % 0.53/0.71 (define @t33 () (tptp.divide tptp.identity tptp.a)) % 0.53/0.71 (define @t34 () (tptp.divide tptp.identity @t33)) % 0.53/0.71 (define @t35 () (tptp.divide @t33 @t34)) % 0.53/0.71 (define @t36 () (= @t33 @t35)) % 0.53/0.71 (define @t37 () (tptp.divide tptp.identity @t34)) % 0.53/0.71 (define @t38 () (= tptp.zero (tptp.divide @t37 @t37))) % 0.53/0.71 (define @t39 () (tptp.divide tptp.identity tptp.identity)) % 0.53/0.71 (define @t40 () (= tptp.zero @t39)) % 0.53/0.71 (define @t41 () (not @t40)) % 0.53/0.71 (define @t42 () (or @t41 @t38)) % 0.53/0.71 (define @t43 () (@list false false)) % 0.53/0.71 (define @t44 () (tptp.divide tptp.identity @t37)) % 0.53/0.71 (define @t45 () (tptp.divide @t44 @t34)) % 0.53/0.71 (define @t46 () (= tptp.zero @t45)) % 0.53/0.71 (define @t47 () (not @t38)) % 0.53/0.71 (define @t48 () (or @t47 @t46)) % 0.53/0.71 (define @t49 () (tptp.divide @t34 @t33)) % 0.53/0.71 (define @t50 () (tptp.divide @t34 @t49)) % 0.53/0.71 (define @t51 () (= tptp.zero @t50)) % 0.53/0.71 (define @t52 () (not @t51)) % 0.53/0.71 (define @t53 () (= tptp.zero (tptp.divide @t49 @t34))) % 0.53/0.71 (define @t54 () (not @t53)) % 0.53/0.71 (define @t55 () (or @t54 @t52 (= @t49 @t34))) % 0.53/0.71 (define @t56 () (forall @t5 (or (not (= tptp.zero @t3)) (not (= tptp.zero @t16)) @t15))) % 0.53/0.71 (define @t57 () (= @t34 @t49)) % 0.53/0.71 (define @t58 () (or @t54 @t52 @t57)) % 0.53/0.71 (define @t59 () (@list false)) % 0.53/0.71 (define @t60 () (@list @t56)) % 0.53/0.71 (define @t61 () (tptp.divide @t37 @t33)) % 0.53/0.71 (define @t62 () (@list @t50 @t61)) % 0.53/0.71 (define @t63 () (@list tptp.identity @t33 @t34)) % 0.53/0.71 (define @t64 () (= tptp.zero (tptp.divide @t34 @t34))) % 0.53/0.71 (define @t65 () (or @t41 @t64)) % 0.53/0.71 (define @t66 () (= tptp.zero @t61)) % 0.53/0.71 (define @t67 () (not @t64)) % 0.53/0.71 (define @t68 () (or @t67 @t66)) % 0.53/0.71 (define @t69 () (tptp.divide @t50 @t61)) % 0.53/0.71 (define @t70 () (= @t50 @t61)) % 0.53/0.71 (define @t71 () (= tptp.zero (tptp.divide @t61 @t50))) % 0.53/0.71 (define @t72 () (not @t71)) % 0.53/0.71 (define @t73 () (= tptp.zero @t69)) % 0.53/0.71 (define @t74 () (not @t73)) % 0.53/0.71 (define @t75 () (or @t74 @t72 @t70)) % 0.53/0.71 (define @t76 () (@list false false false)) % 0.53/0.71 (define @t77 () (tptp.divide @t33 @t39)) % 0.53/0.71 (define @t78 () (tptp.divide @t33 @t35)) % 0.53/0.71 (define @t79 () (tptp.divide @t78 @t33)) % 0.53/0.71 (define @t80 () (= tptp.zero (tptp.divide @t78 @t79))) % 0.53/0.71 (define @t81 () (not @t80)) % 0.53/0.71 (define @t82 () (= tptp.zero (tptp.divide @t79 @t78))) % 0.53/0.71 (define @t83 () (not @t82)) % 0.53/0.71 (define @t84 () (= @t79 @t78)) % 0.53/0.71 (define @t85 () (or @t83 @t81 @t84)) % 0.53/0.71 (define @t86 () (= @t78 @t79)) % 0.53/0.71 (define @t87 () (or @t83 @t81 @t86)) % 0.53/0.71 (define @t88 () (not (= tptp.zero @t78))) % 0.53/0.71 (define @t89 () (tptp.divide @t35 @t33)) % 0.53/0.71 (define @t90 () (= tptp.zero @t89)) % 0.53/0.71 (define @t91 () (not @t90)) % 0.53/0.71 (define @t92 () (or @t91 @t88 (= @t35 @t33))) % 0.53/0.71 (define @t93 () (or @t91 @t88 @t36)) % 0.53/0.71 (define @t94 () (= tptp.zero (tptp.divide (tptp.divide @t33 @t79) @t35))) % 0.53/0.71 (define @t95 () (not @t94)) % 0.53/0.71 (define @t96 () (or @t95 @t80)) % 0.53/0.71 (define @t97 () (= tptp.zero (tptp.divide @t33 @t37))) % 0.53/0.71 (define @t98 () (not @t97)) % 0.53/0.71 (define @t99 () (not @t66)) % 0.53/0.71 (define @t100 () (or @t99 @t98 (= @t37 @t33))) % 0.53/0.71 (define @t101 () (= @t33 @t37)) % 0.53/0.71 (define @t102 () (or @t99 @t98 @t101)) % 0.53/0.71 (define @t103 () (= tptp.zero (tptp.divide @t33 @t33))) % 0.53/0.71 (define @t104 () (or @t41 @t103)) % 0.53/0.71 (define @t105 () (= tptp.zero (tptp.divide @t34 tptp.a))) % 0.53/0.71 (define @t106 () (not @t103)) % 0.53/0.71 (define @t107 () (or @t106 @t105)) % 0.53/0.71 (define @t108 () (= tptp.zero (tptp.divide @t44 tptp.a))) % 0.53/0.71 (define @t109 () (not @t105)) % 0.53/0.71 (define @t110 () (not @t46)) % 0.53/0.71 (define @t111 () (or @t110 @t109 @t108)) % 0.53/0.71 (define @t112 () (not @t108)) % 0.53/0.71 (define @t113 () (or @t112 @t97)) % 0.53/0.71 (define @t114 () (tptp.divide @t33 tptp.identity)) % 0.53/0.71 (define @t115 () (= tptp.zero @t114)) % 0.53/0.71 (define @t116 () (tptp.divide @t37 tptp.identity)) % 0.53/0.71 (define @t117 () (= tptp.zero @t116)) % 0.53/0.71 (define @t118 () (tptp.divide (tptp.divide @t37 tptp.a) @t37)) % 0.53/0.71 (define @t119 () (= tptp.zero @t118)) % 0.53/0.71 (define @t120 () (= tptp.zero @t79)) % 0.53/0.71 (define @t121 () (tptp.divide tptp.identity @t44)) % 0.53/0.71 (define @t122 () (tptp.divide @t121 @t34)) % 0.53/0.71 (define @t123 () (tptp.divide @t37 @t45)) % 0.53/0.71 (define @t124 () (tptp.divide @t123 @t122)) % 0.53/0.71 (define @t125 () (= tptp.zero @t124)) % 0.53/0.71 (define @t126 () (tptp.divide @t77 tptp.identity)) % 0.53/0.71 (define @t127 () (= tptp.zero @t126)) % 0.53/0.71 (define @t128 () (tptp.divide @t37 @t118)) % 0.53/0.71 (define @t129 () (and @t115 @t90 @t117 @t119 @t120 @t57 @t46 @t125 @t101 @t127)) % 0.53/0.71 (assume @p1 @t6) % 0.53/0.71 (assume @p2 @t13) % 0.53/0.71 (assume @p3 (forall @t14 (= (tptp.divide tptp.zero @t1) tptp.zero))) % 0.53/0.71 (assume @p4 @t20) % 0.53/0.71 (assume @p5 @t22) % 0.53/0.71 (assume @p6 @t26) % 0.53/0.71 (assume @p7 @t30) % 0.53/0.71 (assume @p8 @t32) % 0.53/0.71 (assume @p9 (not @t36)) % 0.53/0.71 (step @p10 :rule eq-symm :args (@t4 tptp.zero)) % 0.53/0.71 (step @p11 :rule cong :premises (@p10) :args (@t6)) % 0.53/0.71 (step @p12 :rule eq_resolve :premises (@p1 @p11)) % 0.53/0.71 (step @p13 :rule instantiate :premises (@p12) :args ((@list tptp.identity tptp.a))) % 0.53/0.71 (step @p14 :rule instantiate :premises (@p12) :args ((@list @t33 @t34))) % 0.53/0.71 (step @p15 :rule instantiate :premises (@p12) :args ((@list tptp.identity @t34))) % 0.53/0.71 (step @p16 :rule instantiate :premises (@p12) :args ((@list @t37 tptp.a))) % 0.53/0.71 (step @p17 :rule instantiate :premises (@p12) :args ((@list @t33 @t35))) % 0.53/0.71 (step @p18 :rule eq-symm :args (@t27 tptp.zero)) % 0.53/0.71 (step @p19 :rule eq-symm :args (@t8 tptp.zero)) % 0.53/0.71 (step @p20 :rule cong :premises (@p19) :args (@t28)) % 0.53/0.71 (step @p21 :rule nary_cong :premises (@p20 @p18) :args (@t29)) % 0.53/0.71 (step @p22 :rule cong :premises (@p21) :args (@t30)) % 0.53/0.71 (step @p23 :rule eq_resolve :premises (@p7 @p22)) % 0.53/0.71 (step @p24 :rule instantiate :premises (@p23) :args ((@list tptp.identity @t34 @t37))) % 0.53/0.71 (step @p25 :rule eq-symm :args (@t11 tptp.zero)) % 0.53/0.71 (step @p26 :rule eq-symm :args (@t3 tptp.zero)) % 0.53/0.71 (step @p27 :rule cong :premises (@p26) :args (@t18)) % 0.53/0.71 (step @p28 :rule nary_cong :premises (@p27 @p25) :args (@t31)) % 0.53/0.71 (step @p29 :rule cong :premises (@p28) :args (@t32)) % 0.53/0.71 (step @p30 :rule eq_resolve :premises (@p8 @p29)) % 0.53/0.71 (step @p31 :rule instantiate :premises (@p30) :args ((@list tptp.identity tptp.identity @t34))) % 0.53/0.71 (step @p32 :rule eq-symm :args (@t21 tptp.zero)) % 0.53/0.71 (step @p33 :rule cong :premises (@p32) :args (@t22)) % 0.53/0.71 (step @p34 :rule eq_resolve :premises (@p5 @p33)) % 0.53/0.71 (step @p35 :rule instantiate :premises (@p34) :args ((@list tptp.identity))) % 0.53/0.71 (step @p36 :rule cnf_or_pos :args (@t42)) % 0.53/0.71 (step @p37 :rule reordering :premises (@p36) :args ((or @t41 @t38 (not @t42)))) % 0.53/0.71 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p31) :args (@t38 @t43 (@list @t40 @t42))) % 0.53/0.71 (step @p39 :rule cnf_or_pos :args (@t48)) % 0.53/0.71 (step @p40 :rule reordering :premises (@p39) :args ((or @t47 @t46 (not @t48)))) % 0.53/0.71 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p24) :args (@t46 @t43 (@list @t38 @t48))) % 0.53/0.71 (step @p42 :rule eq-symm :args (@t12 tptp.zero)) % 0.53/0.71 (step @p43 :rule cong :premises (@p42) :args (@t13)) % 0.53/0.71 (step @p44 :rule eq_resolve :premises (@p2 @p43)) % 0.53/0.71 (step @p45 :rule instantiate :premises (@p44) :args ((@list tptp.identity @t34 @t44))) % 0.53/0.71 (step @p46 :rule refl :args (@t15)) % 0.53/0.71 (step @p47 :rule eq-symm :args (@t16 tptp.zero)) % 0.53/0.71 (step @p48 :rule cong :premises (@p47) :args (@t17)) % 0.53/0.71 (step @p49 :rule nary_cong :premises (@p27 @p48 @p46) :args (@t19)) % 0.53/0.71 (step @p50 :rule cong :premises (@p49) :args (@t20)) % 0.53/0.71 (step @p51 :rule eq_resolve :premises (@p4 @p50)) % 0.53/0.71 (step @p52 :rule eq-symm :args (@t49 @t34)) % 0.53/0.71 (step @p53 :rule refl :args (@t52)) % 0.53/0.71 (step @p54 :rule refl :args (@t54)) % 0.53/0.71 (step @p55 :rule nary_cong :premises (@p54 @p53 @p52) :args (@t55)) % 0.53/0.71 (step @p56 :rule refl :args (@t56)) % 0.53/0.71 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t56 @t55))) % 0.53/0.71 (assume-push @p245 @t56) % 0.53/0.71 (step @p59 :rule instantiate :premises (@p51) :args ((@list @t49 @t34))) % 0.53/0.71 (step-pop @p246 :rule scope :premises (@p59)) % 0.53/0.71 (step @p60 :rule process_scope :premises (@p246) :args (@t55)) % 0.53/0.71 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 0.53/0.71 (step @p63 :rule implies_elim :premises (@p62)) % 0.53/0.71 (step @p64 :rule chain_m_resolution :premises (@p63 @p51) :args (@t58 @t59 @t60)) % 0.53/0.71 (step @p65 :rule instantiate :premises (@p51) :args (@t62)) % 0.53/0.71 (step @p66 :rule refl :args (@t50)) % 0.53/0.71 (step @p67 :rule instantiate :premises (@p23) :args (@t63)) % 0.53/0.71 (step @p68 :rule instantiate :premises (@p30) :args ((@list tptp.identity tptp.identity @t33))) % 0.53/0.71 (step @p69 :rule cnf_or_pos :args (@t65)) % 0.53/0.71 (step @p70 :rule reordering :premises (@p69) :args ((or @t41 @t64 (not @t65)))) % 0.53/0.71 (step @p71 :rule chain_m_resolution :premises (@p70 @p35 @p68) :args (@t64 @t43 (@list @t40 @t65))) % 0.53/0.71 (step @p72 :rule cnf_or_pos :args (@t68)) % 0.53/0.71 (step @p73 :rule reordering :premises (@p72) :args ((or @t67 @t66 (not @t68)))) % 0.53/0.71 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p67) :args (@t66 @t43 (@list @t64 @t68))) % 0.53/0.71 (step @p75 :rule symm :premises (@p14)) % 0.53/0.71 (step @p76 :rule trans :premises (@p75 @p74)) % 0.53/0.71 (step @p77 :rule instantiate :premises (@p44) :args (@t63)) % 0.53/0.71 (step @p78 :rule symm :premises (@p77)) % 0.53/0.71 (step @p79 :rule trans :premises (@p78 @p14)) % 0.53/0.71 (step @p80 :rule trans :premises (@p79 @p76)) % 0.53/0.71 (step @p81 :rule cong :premises (@p80 @p66) :args ((tptp.divide @t69 @t50))) % 0.53/0.71 (step @p82 :rule instantiate :premises (@p12) :args (@t62)) % 0.53/0.71 (step @p83 :rule trans :premises (@p82 @p81)) % 0.53/0.71 (step @p84 :rule cnf_or_pos :args (@t75)) % 0.53/0.71 (step @p85 :rule reordering :premises (@p84) :args ((or @t74 @t72 @t70 (not @t75)))) % 0.53/0.71 (step @p86 :rule chain_m_resolution :premises (@p85 @p77 @p83 @p65) :args (@t70 @t76 (@list @t73 @t71 @t75))) % 0.53/0.71 (step @p87 :rule symm :premises (@p86)) % 0.53/0.71 (step @p88 :rule trans :premises (@p74 @p87)) % 0.53/0.71 (step @p89 :rule instantiate :premises (@p12) :args ((@list @t34 @t33))) % 0.53/0.71 (step @p90 :rule cnf_or_pos :args (@t58)) % 0.53/0.71 (step @p91 :rule reordering :premises (@p90) :args ((or @t54 @t52 @t57 (not @t58)))) % 0.53/0.71 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p88 @p64) :args (@t57 @t76 (@list @t53 @t51 @t58))) % 0.53/0.71 (step @p93 :rule instantiate :premises (@p34) :args ((@list @t77))) % 0.53/0.71 (step @p94 :rule instantiate :premises (@p23) :args ((@list @t33 @t79 @t35))) % 0.53/0.71 (step @p95 :rule eq-symm :args (@t79 @t78)) % 0.53/0.71 (step @p96 :rule refl :args (@t81)) % 0.53/0.71 (step @p97 :rule refl :args (@t83)) % 0.53/0.71 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95) :args (@t85)) % 0.53/0.71 (step @p99 :rule cong :premises (@p56 @p98) :args ((=> @t56 @t85))) % 0.53/0.71 (assume-push @p247 @t56) % 0.53/0.71 (step @p101 :rule instantiate :premises (@p51) :args ((@list @t79 @t78))) % 0.53/0.71 (step-pop @p248 :rule scope :premises (@p101)) % 0.53/0.71 (step @p102 :rule process_scope :premises (@p248) :args (@t85)) % 0.53/0.71 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 0.53/0.71 (step @p105 :rule implies_elim :premises (@p104)) % 0.53/0.71 (step @p106 :rule chain_m_resolution :premises (@p105 @p51) :args (@t87 @t59 @t60)) % 0.53/0.71 (step @p107 :rule bool-eq-false :args (@t86)) % 0.53/0.71 (step @p108 :rule symm :premises (@p107)) % 0.53/0.71 (step @p109 :rule cong :premises (@p95) :args ((not @t84))) % 0.53/0.71 (step @p110 :rule bool-eq-false :args (@t84)) % 0.53/0.71 (step @p111 :rule trans :premises (@p110 @p109)) % 0.53/0.71 (step @p112 :rule trans :premises (@p111 @p108)) % 0.53/0.71 (step @p113 :rule eq-symm :args (@t35 @t33)) % 0.53/0.71 (step @p114 :rule refl :args (@t88)) % 0.53/0.71 (step @p115 :rule refl :args (@t91)) % 0.53/0.71 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113) :args (@t92)) % 0.53/0.71 (step @p117 :rule cong :premises (@p56 @p116) :args ((=> @t56 @t92))) % 0.53/0.71 (assume-push @p249 @t56) % 0.53/0.71 (step @p119 :rule instantiate :premises (@p51) :args ((@list @t35 @t33))) % 0.53/0.71 (step-pop @p250 :rule scope :premises (@p119)) % 0.53/0.71 (step @p120 :rule process_scope :premises (@p250) :args (@t92)) % 0.53/0.71 (step @p122 :rule eq_resolve :premises (@p120 @p117)) % 0.53/0.71 (step @p123 :rule implies_elim :premises (@p122)) % 0.53/0.71 (step @p124 :rule chain_m_resolution :premises (@p123 @p51) :args (@t93 @t59 @t60)) % 0.53/0.71 (step @p125 :rule cnf_or_pos :args (@t93)) % 0.53/0.71 (step @p126 :rule reordering :premises (@p125) :args ((or @t36 @t91 @t88 (not @t93)))) % 0.53/0.71 (step @p127 :rule chain_m_resolution :premises (@p126 @p9 @p14 @p124) :args (@t88 (@list true false false) (@list @t36 @t90 @t93))) % 0.53/0.71 (step @p128 :rule false_intro :premises (@p127)) % 0.53/0.71 (step @p129 :rule refl :args (@t78)) % 0.53/0.71 (step @p130 :rule symm :premises (@p17)) % 0.53/0.71 (step @p131 :rule cong :premises (@p130 @p129) :args (@t84)) % 0.53/0.71 (step @p132 :rule trans :premises (@p131 @p128)) % 0.53/0.71 (step @p133 :rule eq_resolve :premises (@p132 @p112)) % 0.53/0.71 (step @p134 :rule false_elim :premises (@p133)) % 0.53/0.71 (step @p135 :rule instantiate :premises (@p12) :args ((@list @t78 @t33))) % 0.53/0.71 (step @p136 :rule cnf_or_pos :args (@t87)) % 0.53/0.71 (step @p137 :rule reordering :premises (@p136) :args ((or @t83 @t81 @t86 (not @t87)))) % 0.53/0.71 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p134 @p106) :args (@t81 (@list false true false) (@list @t82 @t86 @t87))) % 0.53/0.71 (step @p139 :rule cnf_or_pos :args (@t96)) % 0.53/0.71 (step @p140 :rule reordering :premises (@p139) :args ((or @t80 @t95 (not @t96)))) % 0.53/0.71 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p94) :args (@t95 (@list true false) (@list @t80 @t96))) % 0.53/0.71 (step @p142 :rule eq-symm :args (@t37 @t33)) % 0.53/0.71 (step @p143 :rule refl :args (@t98)) % 0.53/0.71 (step @p144 :rule refl :args (@t99)) % 0.53/0.71 (step @p145 :rule nary_cong :premises (@p144 @p143 @p142) :args (@t100)) % 0.53/0.71 (step @p146 :rule cong :premises (@p56 @p145) :args ((=> @t56 @t100))) % 0.53/0.71 (assume-push @p251 @t56) % 0.53/0.71 (step @p148 :rule instantiate :premises (@p51) :args ((@list @t37 @t33))) % 0.53/0.71 (step-pop @p252 :rule scope :premises (@p148)) % 0.53/0.71 (step @p149 :rule process_scope :premises (@p252) :args (@t100)) % 0.53/0.71 (step @p151 :rule eq_resolve :premises (@p149 @p146)) % 0.53/0.71 (step @p152 :rule implies_elim :premises (@p151)) % 0.53/0.71 (step @p153 :rule chain_m_resolution :premises (@p152 @p51) :args (@t102 @t59 @t60)) % 0.53/0.71 (step @p154 :rule instantiate :premises (@p23) :args ((@list tptp.identity @t37 tptp.a))) % 0.53/0.71 (step @p155 :rule eq-symm :args (@t10 tptp.zero)) % 0.53/0.71 (step @p156 :rule eq-symm :args (@t9 tptp.zero)) % 0.53/0.71 (step @p157 :rule cong :premises (@p156) :args (@t23)) % 0.53/0.71 (step @p158 :rule nary_cong :premises (@p27 @p157 @p155) :args (@t24)) % 0.53/0.71 (step @p159 :rule cong :premises (@p158) :args (@t26)) % 0.53/0.71 (step @p160 :rule eq_resolve :premises (@p6 @p159)) % 0.53/0.71 (step @p161 :rule instantiate :premises (@p160) :args ((@list @t44 @t34 tptp.a))) % 0.53/0.71 (step @p162 :rule instantiate :premises (@p23) :args ((@list tptp.identity tptp.a @t33))) % 0.53/0.71 (step @p163 :rule instantiate :premises (@p30) :args ((@list tptp.identity tptp.identity tptp.a))) % 0.53/0.71 (step @p164 :rule cnf_or_pos :args (@t104)) % 0.53/0.71 (step @p165 :rule reordering :premises (@p164) :args ((or @t103 @t41 (not @t104)))) % 0.53/0.71 (step @p166 :rule chain_m_resolution :premises (@p165 @p35 @p163) :args (@t103 @t43 (@list @t40 @t104))) % 0.53/0.71 (step @p167 :rule cnf_or_pos :args (@t107)) % 0.53/0.71 (step @p168 :rule reordering :premises (@p167) :args ((or @t106 @t105 (not @t107)))) % 0.53/0.71 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p162) :args (@t105 @t43 (@list @t103 @t107))) % 0.53/0.71 (step @p170 :rule cnf_or_pos :args (@t111)) % 0.53/0.71 (step @p171 :rule reordering :premises (@p170) :args ((or @t109 @t110 @t108 (not @t111)))) % 0.53/0.71 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p41 @p161) :args (@t108 @t76 (@list @t105 @t46 @t111))) % 0.53/0.71 (step @p173 :rule cnf_or_pos :args (@t113)) % 0.53/0.71 (step @p174 :rule reordering :premises (@p173) :args ((or @t97 @t112 (not @t113)))) % 0.53/0.71 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p154) :args (@t97 @t43 (@list @t108 @t113))) % 0.53/0.71 (step @p176 :rule cnf_or_pos :args (@t102)) % 0.53/0.71 (step @p177 :rule reordering :premises (@p176) :args ((or @t99 @t98 @t101 (not @t102)))) % 0.53/0.71 (step @p178 :rule chain_m_resolution :premises (@p177 @p74 @p175 @p153) :args (@t101 @t76 (@list @t66 @t97 @t102))) % 0.53/0.71 (assume-push @p253 @t115) % 0.53/0.71 (assume-push @p254 @t90) % 0.53/0.71 (assume-push @p255 @t117) % 0.53/0.71 (assume-push @p256 @t119) % 0.53/0.71 (assume-push @p257 @t120) % 0.53/0.71 (assume-push @p258 @t57) % 0.53/0.71 (assume-push @p259 @t46) % 0.53/0.71 (assume-push @p260 @t125) % 0.53/0.71 (assume-push @p261 @t101) % 0.53/0.71 (assume-push @p262 @t127) % 0.53/0.71 (step @p189 :rule symm :premises (@p92)) % 0.53/0.71 (step @p190 :rule refl :args (@t33)) % 0.53/0.71 (step @p191 :rule cong :premises (@p190 @p189) :args ((tptp.divide @t33 @t49))) % 0.53/0.71 (step @p192 :rule symm :premises (@p178)) % 0.53/0.71 (step @p193 :rule cong :premises (@p192 @p92) :args ((tptp.divide @t37 @t34))) % 0.53/0.71 (step @p194 :rule refl :args (@t34)) % 0.53/0.71 (step @p195 :rule refl :args (tptp.identity)) % 0.53/0.71 (step @p196 :rule cong :premises (@p195 @p192) :args (@t44)) % 0.53/0.71 (step @p197 :rule cong :premises (@p195 @p196) :args (@t121)) % 0.53/0.71 (step @p198 :rule cong :premises (@p197 @p194) :args (@t122)) % 0.53/0.71 (step @p199 :rule trans :premises (@p198 @p193 @p191)) % 0.53/0.71 (step @p200 :rule symm :premises (@p13)) % 0.53/0.71 (step @p201 :rule trans :premises (@p200 @p17)) % 0.53/0.71 (step @p202 :rule cong :premises (@p190 @p201) :args ((tptp.divide @t33 @t114))) % 0.53/0.71 (step @p203 :rule trans :premises (@p75 @p13)) % 0.53/0.71 (step @p204 :rule cong :premises (@p190 @p203) :args ((tptp.divide @t33 @t89))) % 0.53/0.71 (step @p205 :rule trans :premises (@p204 @p202)) % 0.53/0.71 (step @p206 :rule symm :premises (@p204)) % 0.53/0.71 (step @p207 :rule symm :premises (@p93)) % 0.53/0.71 (step @p208 :rule trans :premises (@p207 @p13)) % 0.53/0.71 (step @p209 :rule cong :premises (@p190 @p208) :args ((tptp.divide @t33 @t126))) % 0.53/0.71 (step @p210 :rule symm :premises (@p15)) % 0.53/0.71 (step @p211 :rule trans :premises (@p210 @p93)) % 0.53/0.71 (step @p212 :rule cong :premises (@p192 @p211) :args ((tptp.divide @t37 @t116))) % 0.53/0.71 (step @p213 :rule symm :premises (@p41)) % 0.53/0.71 (step @p214 :rule trans :premises (@p213 @p15)) % 0.53/0.71 (step @p215 :rule refl :args (@t37)) % 0.53/0.71 (step @p216 :rule cong :premises (@p215 @p214) :args (@t123)) % 0.53/0.71 (step @p217 :rule trans :premises (@p216 @p212 @p209 @p206)) % 0.53/0.71 (step @p218 :rule symm :premises (@p216)) % 0.53/0.71 (step @p219 :rule symm :premises (@p16)) % 0.53/0.71 (step @p220 :rule trans :premises (@p219 @p15)) % 0.53/0.71 (step @p221 :rule cong :premises (@p215 @p220) :args (@t128)) % 0.53/0.71 (step @p222 :rule trans :premises (@p221 @p218)) % 0.53/0.71 (step @p223 :rule trans :premises (@p222 @p217 @p205)) % 0.53/0.71 (step @p224 :rule cong :premises (@p223 @p199) :args ((tptp.divide @t128 @t122))) % 0.53/0.71 (step @p225 :rule refl :args (@t122)) % 0.53/0.71 (step @p226 :rule symm :premises (@p222)) % 0.53/0.71 (step @p227 :rule cong :premises (@p226 @p225) :args (@t124)) % 0.53/0.71 (step @p228 :rule trans :premises (@p45 @p227 @p224)) % 0.53/0.71 (step-pop @p263 :rule scope :premises (@p228)) % 0.53/0.71 (step-pop @p264 :rule scope :premises (@p263)) % 0.53/0.71 (step-pop @p265 :rule scope :premises (@p264)) % 0.53/0.71 (step-pop @p266 :rule scope :premises (@p265)) % 0.53/0.71 (step-pop @p267 :rule scope :premises (@p266)) % 0.53/0.71 (step-pop @p268 :rule scope :premises (@p267)) % 0.53/0.71 (step-pop @p269 :rule scope :premises (@p268)) % 0.53/0.71 (step-pop @p270 :rule scope :premises (@p269)) % 0.53/0.71 (step-pop @p271 :rule scope :premises (@p270)) % 0.53/0.71 (step-pop @p272 :rule scope :premises (@p271)) % 0.53/0.71 (step @p229 :rule process_scope :premises (@p272) :args (@t94)) % 0.53/0.71 (step @p240 :rule implies_elim :premises (@p229)) % 0.53/0.71 (step @p241 :rule cnf_and_neg :args (@t129)) % 0.53/0.71 (step @p242 :rule resolution :premises (@p241 @p240) :args (true @t129)) % 0.53/0.71 (step @p243 :rule reordering :premises (@p242) :args ((or (not @t115) @t91 (not @t117) (not @t119) (not @t120) (not @t57) @t110 (not @t125) (not @t101) @t94 (not @t127)))) % 0.53/0.71 (step @p244 false :rule chain_m_resolution :premises (@p243 @p178 @p141 @p93 @p92 @p45 @p41 @p17 @p16 @p15 @p14 @p13) :args (false (@list false true false false false false false false false false false) (@list @t101 @t94 @t127 @t57 @t125 @t46 @t120 @t119 @t117 @t90 @t115))) % 0.53/0.71 ) % 0.53/0.71 % SZS output end Proof % 0.53/0.71 % cvc5 exiting %------------------------------------------------------------------------------