%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN004-3 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:22:51 AM UTC 2026 % Result : Unsatisfiable 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 : HEN004-3 : TPTP v9.2.1. Released v1.0.0. % 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 : n010.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 02:14:25 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Unsatisfiable % 0.38/0.57 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.a $$unsorted) % 0.38/0.58 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.identity $$unsorted) % 0.38/0.58 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.zero $$unsorted) % 0.38/0.58 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.58 (define @t3 () (tptp.divide @t2 @t1)) % 0.38/0.58 (define @t4 () (= @t3 tptp.zero)) % 0.38/0.58 (define @t5 () (tptp.less_equal @t2 @t1)) % 0.38/0.58 (define @t6 () (not @t5)) % 0.38/0.58 (define @t7 () (or @t6 @t4)) % 0.38/0.58 (define @t8 () (@list @t2 @t1)) % 0.38/0.58 (define @t9 () (forall @t8 @t7)) % 0.38/0.58 (define @t10 () (not @t4)) % 0.38/0.58 (define @t11 () (or @t10 @t5)) % 0.38/0.58 (define @t12 () (forall @t8 @t11)) % 0.38/0.58 (define @t13 () (@var "Z" $$unsorted)) % 0.38/0.58 (define @t14 () (@list @t2)) % 0.38/0.58 (define @t15 () (forall @t8 (or @t6 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 0.38/0.58 (define @t16 () (tptp.divide tptp.a tptp.zero)) % 0.38/0.58 (define @t17 () (= @t16 tptp.a)) % 0.38/0.58 (define @t18 () (@list @t16 tptp.a)) % 0.38/0.58 (define @t19 () (tptp.divide @t16 tptp.a)) % 0.38/0.58 (define @t20 () (= tptp.zero @t19)) % 0.38/0.58 (define @t21 () (tptp.less_equal @t16 tptp.a)) % 0.38/0.58 (define @t22 () (not @t21)) % 0.38/0.58 (define @t23 () (or @t22 @t20)) % 0.38/0.58 (define @t24 () (@list false false)) % 0.38/0.58 (define @t25 () (tptp.less_equal tptp.a @t16)) % 0.38/0.58 (define @t26 () (not @t25)) % 0.38/0.58 (define @t27 () (or @t22 @t26 @t17)) % 0.38/0.58 (define @t28 () (= tptp.a @t16)) % 0.38/0.58 (define @t29 () (or @t22 @t26 @t28)) % 0.38/0.58 (define @t30 () (@list false)) % 0.38/0.58 (define @t31 () (@list @t15)) % 0.38/0.58 (define @t32 () (= tptp.zero (tptp.divide tptp.a @t16))) % 0.38/0.58 (define @t33 () (not @t32)) % 0.38/0.58 (define @t34 () (or @t33 @t25)) % 0.38/0.58 (define @t35 () (tptp.divide tptp.zero tptp.a)) % 0.38/0.58 (define @t36 () (= tptp.zero @t35)) % 0.38/0.58 (define @t37 () (tptp.less_equal tptp.zero tptp.a)) % 0.38/0.58 (define @t38 () (not @t37)) % 0.38/0.58 (define @t39 () (or @t38 @t36)) % 0.38/0.58 (define @t40 () (tptp.divide (tptp.divide tptp.a tptp.a) @t35)) % 0.38/0.58 (define @t41 () (tptp.less_equal @t19 @t40)) % 0.38/0.58 (define @t42 () (not @t41)) % 0.38/0.58 (define @t43 () (tptp.less_equal @t40 @t19)) % 0.38/0.58 (define @t44 () (not @t43)) % 0.38/0.58 (define @t45 () (or @t44 @t42 (= @t40 @t19))) % 0.38/0.58 (define @t46 () (@list @t40 @t19)) % 0.38/0.58 (define @t47 () (= @t19 @t40)) % 0.38/0.58 (define @t48 () (or @t44 @t42 @t47)) % 0.38/0.58 (define @t49 () (tptp.divide @t40 @t19)) % 0.38/0.58 (define @t50 () (= tptp.zero @t49)) % 0.38/0.58 (define @t51 () (or @t44 @t50)) % 0.38/0.58 (define @t52 () (@list false false false)) % 0.38/0.58 (define @t53 () (tptp.divide tptp.a @t35)) % 0.38/0.58 (define @t54 () (tptp.divide @t53 @t53)) % 0.38/0.58 (define @t55 () (tptp.less_equal @t40 @t54)) % 0.38/0.58 (define @t56 () (not @t55)) % 0.38/0.58 (define @t57 () (tptp.less_equal @t54 @t40)) % 0.38/0.58 (define @t58 () (not @t57)) % 0.38/0.58 (define @t59 () (or @t58 @t56 (= @t54 @t40))) % 0.38/0.58 (define @t60 () (@list @t54 @t40)) % 0.38/0.58 (define @t61 () (= @t40 @t54)) % 0.38/0.58 (define @t62 () (or @t58 @t56 @t61)) % 0.38/0.58 (define @t63 () (= tptp.zero (tptp.divide @t54 @t40))) % 0.38/0.58 (define @t64 () (or @t58 @t63)) % 0.38/0.58 (define @t65 () (tptp.divide @t35 @t53)) % 0.38/0.58 (define @t66 () (tptp.divide tptp.a @t53)) % 0.38/0.58 (define @t67 () (tptp.divide @t66 @t65)) % 0.38/0.58 (define @t68 () (tptp.less_equal @t54 @t67)) % 0.38/0.58 (define @t69 () (not @t68)) % 0.38/0.58 (define @t70 () (tptp.less_equal @t67 @t54)) % 0.38/0.58 (define @t71 () (not @t70)) % 0.38/0.58 (define @t72 () (or @t71 @t69 (= @t67 @t54))) % 0.38/0.58 (define @t73 () (@list @t67 @t54)) % 0.38/0.58 (define @t74 () (= @t54 @t67)) % 0.38/0.58 (define @t75 () (or @t71 @t69 @t74)) % 0.38/0.58 (define @t76 () (= tptp.zero (tptp.divide @t67 @t54))) % 0.38/0.58 (define @t77 () (or @t71 @t76)) % 0.38/0.58 (define @t78 () (tptp.less_equal @t66 @t67)) % 0.38/0.58 (define @t79 () (not @t78)) % 0.38/0.58 (define @t80 () (tptp.less_equal @t67 @t66)) % 0.38/0.58 (define @t81 () (not @t80)) % 0.38/0.58 (define @t82 () (or @t81 @t79 (= @t67 @t66))) % 0.38/0.58 (define @t83 () (= @t66 @t67)) % 0.38/0.58 (define @t84 () (or @t81 @t79 @t83)) % 0.38/0.58 (define @t85 () (@list @t66 @t65)) % 0.38/0.58 (define @t86 () (tptp.less_equal @t66 @t65)) % 0.38/0.58 (define @t87 () (= tptp.zero @t67)) % 0.38/0.58 (define @t88 () (not @t87)) % 0.38/0.58 (define @t89 () (or @t88 @t86)) % 0.38/0.58 (define @t90 () (tptp.divide @t19 @t16)) % 0.38/0.58 (define @t91 () (= tptp.zero @t90)) % 0.38/0.58 (define @t92 () (tptp.less_equal @t19 @t16)) % 0.38/0.58 (define @t93 () (not @t92)) % 0.38/0.58 (define @t94 () (or @t93 @t91)) % 0.38/0.58 (define @t95 () (and @t20 @t36 @t47 @t61 @t74 @t83)) % 0.38/0.58 (assume @p1 @t9) % 0.38/0.58 (assume @p2 @t12) % 0.38/0.58 (assume @p3 (forall @t8 (tptp.less_equal @t3 @t2))) % 0.38/0.58 (assume @p4 (forall (@list @t2 @t13 @t1) (tptp.less_equal (tptp.divide (tptp.divide @t2 @t13) (tptp.divide @t1 @t13)) (tptp.divide @t3 @t13)))) % 0.38/0.58 (assume @p5 (forall @t14 (tptp.less_equal tptp.zero @t2))) % 0.38/0.58 (assume @p6 @t15) % 0.38/0.58 (assume @p7 (forall @t14 (tptp.less_equal @t2 tptp.identity))) % 0.38/0.58 (assume @p8 (not @t17)) % 0.38/0.58 (step @p9 :rule eq-symm :args (@t3 tptp.zero)) % 0.38/0.58 (step @p10 :rule refl :args (@t6)) % 0.38/0.58 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t7)) % 0.38/0.58 (step @p12 :rule cong :premises (@p11) :args (@t9)) % 0.38/0.58 (step @p13 :rule eq_resolve :premises (@p1 @p12)) % 0.38/0.58 (step @p14 :rule instantiate :premises (@p13) :args (@t18)) % 0.38/0.58 (step @p15 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.zero))) % 0.38/0.58 (step @p16 :rule cnf_or_pos :args (@t23)) % 0.38/0.58 (step @p17 :rule reordering :premises (@p16) :args ((or @t22 @t20 (not @t23)))) % 0.38/0.58 (step @p18 :rule chain_m_resolution :premises (@p17 @p15 @p14) :args (@t20 @t24 (@list @t21 @t23))) % 0.38/0.58 (step @p19 :rule refl :args (@t5)) % 0.38/0.58 (step @p20 :rule cong :premises (@p9) :args (@t10)) % 0.38/0.58 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t11)) % 0.38/0.58 (step @p22 :rule cong :premises (@p21) :args (@t12)) % 0.38/0.58 (step @p23 :rule eq_resolve :premises (@p2 @p22)) % 0.38/0.58 (step @p24 :rule instantiate :premises (@p23) :args ((@list tptp.a @t16))) % 0.38/0.58 (step @p25 :rule eq-symm :args (@t16 tptp.a)) % 0.38/0.58 (step @p26 :rule refl :args (@t26)) % 0.38/0.58 (step @p27 :rule refl :args (@t22)) % 0.38/0.58 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25) :args (@t27)) % 0.38/0.58 (step @p29 :rule refl :args (@t15)) % 0.38/0.58 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t15 @t27))) % 0.38/0.58 (assume-push @p200 @t15) % 0.38/0.58 (step @p32 :rule instantiate :premises (@p6) :args (@t18)) % 0.38/0.58 (step-pop @p201 :rule scope :premises (@p32)) % 0.38/0.58 (step @p33 :rule process_scope :premises (@p201) :args (@t27)) % 0.38/0.58 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 0.38/0.58 (step @p36 :rule implies_elim :premises (@p35)) % 0.38/0.58 (step @p37 :rule chain_m_resolution :premises (@p36 @p6) :args (@t29 @t30 @t31)) % 0.38/0.58 (step @p38 :rule symm :premises (@p8)) % 0.38/0.58 (step @p39 :rule cnf_or_pos :args (@t29)) % 0.38/0.58 (step @p40 :rule reordering :premises (@p39) :args ((or @t28 @t22 @t26 (not @t29)))) % 0.38/0.58 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p15 @p37) :args (@t26 (@list true false false) (@list @t28 @t21 @t29))) % 0.38/0.58 (step @p42 :rule cnf_or_pos :args (@t34)) % 0.38/0.58 (step @p43 :rule reordering :premises (@p42) :args ((or @t25 @t33 (not @t34)))) % 0.38/0.58 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p24) :args (@t33 (@list true false) (@list @t25 @t34))) % 0.38/0.58 (step @p45 :rule instantiate :premises (@p13) :args ((@list tptp.zero tptp.a))) % 0.38/0.58 (step @p46 :rule instantiate :premises (@p5) :args ((@list tptp.a))) % 0.38/0.58 (step @p47 :rule cnf_or_pos :args (@t39)) % 0.38/0.58 (step @p48 :rule reordering :premises (@p47) :args ((or @t38 @t36 (not @t39)))) % 0.38/0.58 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p45) :args (@t36 @t24 (@list @t37 @t39))) % 0.38/0.58 (step @p50 :rule eq-symm :args (@t40 @t19)) % 0.38/0.58 (step @p51 :rule refl :args (@t42)) % 0.38/0.58 (step @p52 :rule refl :args (@t44)) % 0.38/0.58 (step @p53 :rule nary_cong :premises (@p52 @p51 @p50) :args (@t45)) % 0.38/0.58 (step @p54 :rule cong :premises (@p29 @p53) :args ((=> @t15 @t45))) % 0.38/0.58 (assume-push @p202 @t15) % 0.38/0.58 (step @p56 :rule instantiate :premises (@p6) :args (@t46)) % 0.38/0.58 (step-pop @p203 :rule scope :premises (@p56)) % 0.38/0.58 (step @p57 :rule process_scope :premises (@p203) :args (@t45)) % 0.38/0.58 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 0.38/0.58 (step @p60 :rule implies_elim :premises (@p59)) % 0.38/0.58 (step @p61 :rule chain_m_resolution :premises (@p60 @p6) :args (@t48 @t30 @t31)) % 0.38/0.58 (step @p62 :rule instantiate :premises (@p3) :args (@t46)) % 0.38/0.58 (step @p63 :rule true_intro :premises (@p62)) % 0.38/0.58 (step @p64 :rule refl :args (@t40)) % 0.38/0.58 (step @p65 :rule instantiate :premises (@p13) :args (@t46)) % 0.38/0.58 (step @p66 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.a tptp.zero))) % 0.38/0.58 (step @p67 :rule cnf_or_pos :args (@t51)) % 0.38/0.58 (step @p68 :rule reordering :premises (@p67) :args ((or @t44 @t50 (not @t51)))) % 0.38/0.58 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p65) :args (@t50 @t24 (@list @t43 @t51))) % 0.38/0.58 (step @p70 :rule symm :premises (@p18)) % 0.38/0.58 (step @p71 :rule trans :premises (@p70 @p69)) % 0.38/0.58 (step @p72 :rule cong :premises (@p71 @p64) :args (@t41)) % 0.38/0.58 (step @p73 :rule trans :premises (@p72 @p63)) % 0.38/0.58 (step @p74 :rule true_elim :premises (@p73)) % 0.38/0.58 (step @p75 :rule cnf_or_pos :args (@t48)) % 0.38/0.58 (step @p76 :rule reordering :premises (@p75) :args ((or @t44 @t42 @t47 (not @t48)))) % 0.38/0.58 (step @p77 :rule chain_m_resolution :premises (@p76 @p66 @p74 @p61) :args (@t47 @t52 (@list @t43 @t41 @t48))) % 0.38/0.58 (step @p78 :rule eq-symm :args (@t54 @t40)) % 0.38/0.58 (step @p79 :rule refl :args (@t56)) % 0.38/0.58 (step @p80 :rule refl :args (@t58)) % 0.38/0.58 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args (@t59)) % 0.38/0.58 (step @p82 :rule cong :premises (@p29 @p81) :args ((=> @t15 @t59))) % 0.38/0.58 (assume-push @p204 @t15) % 0.38/0.58 (step @p84 :rule instantiate :premises (@p6) :args (@t60)) % 0.38/0.58 (step-pop @p205 :rule scope :premises (@p84)) % 0.38/0.58 (step @p85 :rule process_scope :premises (@p205) :args (@t59)) % 0.38/0.58 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 0.38/0.58 (step @p88 :rule implies_elim :premises (@p87)) % 0.38/0.58 (step @p89 :rule chain_m_resolution :premises (@p88 @p6) :args (@t62 @t30 @t31)) % 0.38/0.58 (step @p90 :rule instantiate :premises (@p3) :args (@t60)) % 0.38/0.58 (step @p91 :rule true_intro :premises (@p90)) % 0.38/0.58 (step @p92 :rule refl :args (@t54)) % 0.38/0.58 (step @p93 :rule instantiate :premises (@p13) :args (@t60)) % 0.38/0.58 (step @p94 :rule instantiate :premises (@p4) :args ((@list tptp.a @t35 tptp.a))) % 0.38/0.58 (step @p95 :rule cnf_or_pos :args (@t64)) % 0.38/0.58 (step @p96 :rule reordering :premises (@p95) :args ((or @t58 @t63 (not @t64)))) % 0.38/0.58 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p93) :args (@t63 @t24 (@list @t57 @t64))) % 0.38/0.58 (step @p98 :rule trans :premises (@p70 @p97)) % 0.38/0.58 (step @p99 :rule symm :premises (@p77)) % 0.38/0.58 (step @p100 :rule trans :premises (@p99 @p98)) % 0.38/0.58 (step @p101 :rule cong :premises (@p100 @p92) :args (@t55)) % 0.38/0.58 (step @p102 :rule trans :premises (@p101 @p91)) % 0.38/0.58 (step @p103 :rule true_elim :premises (@p102)) % 0.38/0.58 (step @p104 :rule cnf_or_pos :args (@t62)) % 0.38/0.58 (step @p105 :rule reordering :premises (@p104) :args ((or @t58 @t56 @t61 (not @t62)))) % 0.38/0.58 (step @p106 :rule chain_m_resolution :premises (@p105 @p94 @p103 @p89) :args (@t61 @t52 (@list @t57 @t55 @t62))) % 0.38/0.58 (step @p107 :rule eq-symm :args (@t67 @t54)) % 0.38/0.58 (step @p108 :rule refl :args (@t69)) % 0.38/0.58 (step @p109 :rule refl :args (@t71)) % 0.38/0.58 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107) :args (@t72)) % 0.38/0.58 (step @p111 :rule cong :premises (@p29 @p110) :args ((=> @t15 @t72))) % 0.38/0.58 (assume-push @p206 @t15) % 0.38/0.58 (step @p113 :rule instantiate :premises (@p6) :args (@t73)) % 0.38/0.58 (step-pop @p207 :rule scope :premises (@p113)) % 0.38/0.58 (step @p114 :rule process_scope :premises (@p207) :args (@t72)) % 0.38/0.58 (step @p116 :rule eq_resolve :premises (@p114 @p111)) % 0.38/0.58 (step @p117 :rule implies_elim :premises (@p116)) % 0.38/0.58 (step @p118 :rule chain_m_resolution :premises (@p117 @p6) :args (@t75 @t30 @t31)) % 0.38/0.58 (step @p119 :rule instantiate :premises (@p3) :args (@t73)) % 0.38/0.58 (step @p120 :rule true_intro :premises (@p119)) % 0.38/0.58 (step @p121 :rule refl :args (@t67)) % 0.38/0.58 (step @p122 :rule instantiate :premises (@p13) :args (@t73)) % 0.38/0.58 (step @p123 :rule instantiate :premises (@p4) :args ((@list tptp.a @t53 @t35))) % 0.38/0.58 (step @p124 :rule cnf_or_pos :args (@t77)) % 0.38/0.58 (step @p125 :rule reordering :premises (@p124) :args ((or @t71 @t76 (not @t77)))) % 0.38/0.58 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p122) :args (@t76 @t24 (@list @t70 @t77))) % 0.38/0.58 (step @p127 :rule trans :premises (@p70 @p126)) % 0.38/0.58 (step @p128 :rule symm :premises (@p106)) % 0.38/0.58 (step @p129 :rule trans :premises (@p128 @p99)) % 0.38/0.58 (step @p130 :rule trans :premises (@p129 @p127)) % 0.38/0.58 (step @p131 :rule cong :premises (@p130 @p121) :args (@t68)) % 0.38/0.58 (step @p132 :rule trans :premises (@p131 @p120)) % 0.38/0.58 (step @p133 :rule true_elim :premises (@p132)) % 0.38/0.58 (step @p134 :rule cnf_or_pos :args (@t75)) % 0.38/0.58 (step @p135 :rule reordering :premises (@p134) :args ((or @t71 @t69 @t74 (not @t75)))) % 0.38/0.58 (step @p136 :rule chain_m_resolution :premises (@p135 @p123 @p133 @p118) :args (@t74 @t52 (@list @t70 @t68 @t75))) % 0.38/0.58 (step @p137 :rule eq-symm :args (@t67 @t66)) % 0.38/0.58 (step @p138 :rule refl :args (@t79)) % 0.38/0.58 (step @p139 :rule refl :args (@t81)) % 0.38/0.58 (step @p140 :rule nary_cong :premises (@p139 @p138 @p137) :args (@t82)) % 0.38/0.58 (step @p141 :rule cong :premises (@p29 @p140) :args ((=> @t15 @t82))) % 0.38/0.58 (assume-push @p208 @t15) % 0.38/0.58 (step @p143 :rule instantiate :premises (@p6) :args ((@list @t67 @t66))) % 0.38/0.58 (step-pop @p209 :rule scope :premises (@p143)) % 0.38/0.58 (step @p144 :rule process_scope :premises (@p209) :args (@t82)) % 0.38/0.58 (step @p146 :rule eq_resolve :premises (@p144 @p141)) % 0.38/0.58 (step @p147 :rule implies_elim :premises (@p146)) % 0.38/0.58 (step @p148 :rule chain_m_resolution :premises (@p147 @p6) :args (@t84 @t30 @t31)) % 0.38/0.58 (step @p149 :rule instantiate :premises (@p23) :args (@t85)) % 0.38/0.58 (step @p150 :rule trans :premises (@p18 @p77 @p106 @p136)) % 0.38/0.58 (step @p151 :rule cnf_or_pos :args (@t89)) % 0.38/0.58 (step @p152 :rule reordering :premises (@p151) :args ((or @t86 @t88 (not @t89)))) % 0.38/0.58 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p149) :args (@t86 @t24 (@list @t87 @t89))) % 0.38/0.58 (step @p154 :rule true_intro :premises (@p153)) % 0.38/0.58 (step @p155 :rule refl :args (tptp.a)) % 0.38/0.58 (step @p156 :rule cong :premises (@p155 @p49) :args (@t16)) % 0.38/0.58 (step @p157 :rule symm :premises (@p69)) % 0.38/0.58 (step @p158 :rule trans :premises (@p157 @p49)) % 0.38/0.58 (step @p159 :rule cong :premises (@p158 @p156) :args ((tptp.divide @t49 @t16))) % 0.38/0.58 (step @p160 :rule refl :args (@t16)) % 0.38/0.58 (step @p161 :rule cong :premises (@p71 @p160) :args (@t90)) % 0.38/0.58 (step @p162 :rule instantiate :premises (@p13) :args ((@list @t19 @t16))) % 0.38/0.58 (step @p163 :rule instantiate :premises (@p3) :args (@t18)) % 0.38/0.58 (step @p164 :rule cnf_or_pos :args (@t94)) % 0.38/0.58 (step @p165 :rule reordering :premises (@p164) :args ((or @t93 @t91 (not @t94)))) % 0.38/0.58 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p162) :args (@t91 @t24 (@list @t92 @t94))) % 0.38/0.58 (step @p167 :rule symm :premises (@p136)) % 0.38/0.58 (step @p168 :rule trans :premises (@p167 @p128 @p99 @p70 @p166 @p161 @p159)) % 0.38/0.58 (step @p169 :rule refl :args (@t66)) % 0.38/0.58 (step @p170 :rule cong :premises (@p169 @p168) :args (@t78)) % 0.38/0.58 (step @p171 :rule trans :premises (@p170 @p154)) % 0.38/0.58 (step @p172 :rule true_elim :premises (@p171)) % 0.38/0.58 (step @p173 :rule instantiate :premises (@p3) :args (@t85)) % 0.38/0.58 (step @p174 :rule cnf_or_pos :args (@t84)) % 0.38/0.58 (step @p175 :rule reordering :premises (@p174) :args ((or @t81 @t79 @t83 (not @t84)))) % 0.38/0.58 (step @p176 :rule chain_m_resolution :premises (@p175 @p173 @p172 @p148) :args (@t83 @t52 (@list @t80 @t78 @t84))) % 0.38/0.58 (assume-push @p210 @t20) % 0.38/0.58 (assume-push @p211 @t36) % 0.38/0.58 (assume-push @p212 @t47) % 0.38/0.58 (assume-push @p213 @t61) % 0.38/0.58 (assume-push @p214 @t74) % 0.38/0.58 (assume-push @p215 @t83) % 0.38/0.58 (step @p183 :rule symm :premises (@p49)) % 0.38/0.58 (step @p184 :rule cong :premises (@p155 @p183) :args (@t53)) % 0.38/0.58 (step @p185 :rule cong :premises (@p155 @p184) :args (@t66)) % 0.38/0.58 (step @p186 :rule symm :premises (@p176)) % 0.38/0.58 (step @p187 :rule trans :premises (@p18 @p77 @p106 @p136 @p186 @p185)) % 0.38/0.58 (step-pop @p216 :rule scope :premises (@p187)) % 0.38/0.58 (step-pop @p217 :rule scope :premises (@p216)) % 0.38/0.58 (step-pop @p218 :rule scope :premises (@p217)) % 0.38/0.58 (step-pop @p219 :rule scope :premises (@p218)) % 0.38/0.58 (step-pop @p220 :rule scope :premises (@p219)) % 0.38/0.58 (step-pop @p221 :rule scope :premises (@p220)) % 0.38/0.58 (step @p188 :rule process_scope :premises (@p221) :args (@t32)) % 0.38/0.58 (step @p195 :rule implies_elim :premises (@p188)) % 0.38/0.58 (step @p196 :rule cnf_and_neg :args (@t95)) % 0.38/0.58 (step @p197 :rule resolution :premises (@p196 @p195) :args (true @t95)) % 0.38/0.58 (step @p198 :rule reordering :premises (@p197) :args ((or (not @t20) @t32 (not @t36) (not @t47) (not @t61) (not @t74) (not @t83)))) % 0.38/0.58 (step @p199 false :rule chain_m_resolution :premises (@p198 @p176 @p136 @p106 @p77 @p49 @p44 @p18) :args (false (@list false false false false false true false) (@list @t83 @t74 @t61 @t47 @t36 @t32 @t20))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------