%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN004-6 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : HEN004-6 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n014.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 02:14:58 EDT 2026 % 0.15/0.33 % CPUTime : % 0.29/0.48 %----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... % 0.37/0.57 % SZS status Unsatisfiable % 0.37/0.57 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.a $$unsorted) % 0.37/0.58 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.identity $$unsorted) % 0.37/0.58 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.zero $$unsorted) % 0.37/0.58 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.58 (define @t3 () (tptp.divide @t2 @t1)) % 0.37/0.58 (define @t4 () (= @t3 tptp.zero)) % 0.37/0.58 (define @t5 () (tptp.less_equal @t2 @t1)) % 0.37/0.58 (define @t6 () (not @t5)) % 0.37/0.58 (define @t7 () (or @t6 @t4)) % 0.37/0.58 (define @t8 () (@list @t2 @t1)) % 0.37/0.58 (define @t9 () (forall @t8 @t7)) % 0.37/0.58 (define @t10 () (not @t4)) % 0.37/0.58 (define @t11 () (or @t10 @t5)) % 0.37/0.58 (define @t12 () (forall @t8 @t11)) % 0.37/0.58 (define @t13 () (@var "Z" $$unsorted)) % 0.37/0.58 (define @t14 () (@list @t2)) % 0.37/0.58 (define @t15 () (forall @t8 (or @t6 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 0.37/0.58 (define @t16 () (tptp.divide tptp.zero @t2)) % 0.37/0.58 (define @t17 () (forall @t14 (= @t16 tptp.zero))) % 0.37/0.58 (define @t18 () (tptp.divide tptp.a tptp.zero)) % 0.37/0.58 (define @t19 () (= @t18 tptp.a)) % 0.37/0.58 (define @t20 () (@list @t18 tptp.a)) % 0.37/0.58 (define @t21 () (tptp.divide @t18 tptp.a)) % 0.37/0.58 (define @t22 () (= tptp.zero @t21)) % 0.37/0.58 (define @t23 () (tptp.less_equal @t18 tptp.a)) % 0.37/0.58 (define @t24 () (not @t23)) % 0.37/0.58 (define @t25 () (or @t24 @t22)) % 0.37/0.58 (define @t26 () (@list false false)) % 0.37/0.58 (define @t27 () (tptp.less_equal tptp.a @t18)) % 0.37/0.58 (define @t28 () (not @t27)) % 0.37/0.58 (define @t29 () (or @t24 @t28 @t19)) % 0.37/0.58 (define @t30 () (= tptp.a @t18)) % 0.37/0.58 (define @t31 () (or @t24 @t28 @t30)) % 0.37/0.58 (define @t32 () (@list false)) % 0.37/0.58 (define @t33 () (@list @t15)) % 0.37/0.58 (define @t34 () (= tptp.zero (tptp.divide tptp.a @t18))) % 0.37/0.58 (define @t35 () (not @t34)) % 0.37/0.58 (define @t36 () (or @t35 @t27)) % 0.37/0.58 (define @t37 () (tptp.divide tptp.zero tptp.a)) % 0.37/0.58 (define @t38 () (tptp.divide (tptp.divide tptp.a tptp.a) @t37)) % 0.37/0.58 (define @t39 () (tptp.less_equal @t21 @t38)) % 0.37/0.58 (define @t40 () (not @t39)) % 0.37/0.58 (define @t41 () (tptp.less_equal @t38 @t21)) % 0.37/0.58 (define @t42 () (not @t41)) % 0.37/0.58 (define @t43 () (or @t42 @t40 (= @t38 @t21))) % 0.37/0.58 (define @t44 () (@list @t38 @t21)) % 0.37/0.58 (define @t45 () (= @t21 @t38)) % 0.37/0.58 (define @t46 () (or @t42 @t40 @t45)) % 0.37/0.58 (define @t47 () (= tptp.zero (tptp.divide @t38 @t21))) % 0.37/0.58 (define @t48 () (or @t42 @t47)) % 0.37/0.58 (define @t49 () (@list false false false)) % 0.37/0.58 (define @t50 () (tptp.divide tptp.a @t37)) % 0.37/0.58 (define @t51 () (tptp.divide @t50 @t50)) % 0.37/0.58 (define @t52 () (tptp.less_equal @t38 @t51)) % 0.37/0.58 (define @t53 () (not @t52)) % 0.37/0.58 (define @t54 () (tptp.less_equal @t51 @t38)) % 0.37/0.58 (define @t55 () (not @t54)) % 0.37/0.58 (define @t56 () (or @t55 @t53 (= @t51 @t38))) % 0.37/0.58 (define @t57 () (@list @t51 @t38)) % 0.37/0.58 (define @t58 () (= @t38 @t51)) % 0.37/0.58 (define @t59 () (or @t55 @t53 @t58)) % 0.37/0.58 (define @t60 () (= tptp.zero (tptp.divide @t51 @t38))) % 0.37/0.58 (define @t61 () (or @t55 @t60)) % 0.37/0.58 (define @t62 () (tptp.divide @t18 @t50)) % 0.37/0.58 (define @t63 () (tptp.divide tptp.zero @t50)) % 0.37/0.58 (define @t64 () (tptp.divide tptp.a @t50)) % 0.37/0.58 (define @t65 () (tptp.divide @t64 @t63)) % 0.37/0.58 (define @t66 () (@list @t65 @t62)) % 0.37/0.58 (define @t67 () (= tptp.zero (tptp.divide @t65 @t62))) % 0.37/0.58 (define @t68 () (tptp.less_equal @t65 @t62)) % 0.37/0.58 (define @t69 () (not @t68)) % 0.37/0.58 (define @t70 () (or @t69 @t67)) % 0.37/0.58 (define @t71 () (tptp.less_equal @t62 @t65)) % 0.37/0.58 (define @t72 () (= @t65 @t62)) % 0.37/0.58 (define @t73 () (not @t71)) % 0.37/0.58 (define @t74 () (or @t69 @t73 @t72)) % 0.37/0.58 (define @t75 () (tptp.less_equal @t64 @t65)) % 0.37/0.58 (define @t76 () (not @t75)) % 0.37/0.58 (define @t77 () (tptp.less_equal @t65 @t64)) % 0.37/0.58 (define @t78 () (not @t77)) % 0.37/0.58 (define @t79 () (or @t78 @t76 (= @t65 @t64))) % 0.37/0.58 (define @t80 () (= @t64 @t65)) % 0.37/0.58 (define @t81 () (or @t78 @t76 @t80)) % 0.37/0.58 (define @t82 () (@list @t64 @t63)) % 0.37/0.58 (define @t83 () (tptp.less_equal @t64 @t63)) % 0.37/0.58 (define @t84 () (= tptp.zero @t65)) % 0.37/0.58 (define @t85 () (not @t84)) % 0.37/0.58 (define @t86 () (or @t85 @t83)) % 0.37/0.58 (define @t87 () (tptp.divide @t21 @t18)) % 0.37/0.58 (define @t88 () (= tptp.zero @t87)) % 0.37/0.58 (define @t89 () (tptp.less_equal @t21 @t18)) % 0.37/0.58 (define @t90 () (not @t89)) % 0.37/0.58 (define @t91 () (or @t90 @t88)) % 0.37/0.58 (define @t92 () (= tptp.zero @t37)) % 0.37/0.58 (define @t93 () (and @t22 @t92 @t45 @t58 @t72 @t80)) % 0.37/0.58 (assume @p1 @t9) % 0.37/0.58 (assume @p2 @t12) % 0.37/0.58 (assume @p3 (forall @t8 (tptp.less_equal @t3 @t2))) % 0.37/0.58 (assume @p4 (forall (@list @t2 @t13 @t1) (tptp.less_equal (tptp.divide (tptp.divide @t2 @t13) (tptp.divide @t1 @t13)) (tptp.divide @t3 @t13)))) % 0.37/0.58 (assume @p5 (forall @t14 (tptp.less_equal tptp.zero @t2))) % 0.37/0.58 (assume @p6 @t15) % 0.37/0.58 (assume @p7 (forall @t14 (tptp.less_equal @t2 tptp.identity))) % 0.37/0.58 (assume @p8 (forall @t14 (= (tptp.divide @t2 tptp.identity) tptp.zero))) % 0.37/0.58 (assume @p9 @t17) % 0.37/0.58 (assume @p10 (not @t19)) % 0.37/0.58 (step @p11 :rule eq-symm :args (@t3 tptp.zero)) % 0.37/0.58 (step @p12 :rule refl :args (@t6)) % 0.37/0.58 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t7)) % 0.37/0.58 (step @p14 :rule cong :premises (@p13) :args (@t9)) % 0.37/0.58 (step @p15 :rule eq_resolve :premises (@p1 @p14)) % 0.37/0.58 (step @p16 :rule instantiate :premises (@p15) :args (@t20)) % 0.37/0.58 (step @p17 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.zero))) % 0.37/0.58 (step @p18 :rule cnf_or_pos :args (@t25)) % 0.37/0.58 (step @p19 :rule reordering :premises (@p18) :args ((or @t24 @t22 (not @t25)))) % 0.37/0.58 (step @p20 :rule chain_m_resolution :premises (@p19 @p17 @p16) :args (@t22 @t26 (@list @t23 @t25))) % 0.37/0.58 (step @p21 :rule refl :args (@t5)) % 0.37/0.58 (step @p22 :rule cong :premises (@p11) :args (@t10)) % 0.37/0.58 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t11)) % 0.37/0.58 (step @p24 :rule cong :premises (@p23) :args (@t12)) % 0.37/0.58 (step @p25 :rule eq_resolve :premises (@p2 @p24)) % 0.37/0.58 (step @p26 :rule instantiate :premises (@p25) :args ((@list tptp.a @t18))) % 0.37/0.58 (step @p27 :rule eq-symm :args (@t18 tptp.a)) % 0.37/0.58 (step @p28 :rule refl :args (@t28)) % 0.37/0.58 (step @p29 :rule refl :args (@t24)) % 0.37/0.58 (step @p30 :rule nary_cong :premises (@p29 @p28 @p27) :args (@t29)) % 0.37/0.58 (step @p31 :rule refl :args (@t15)) % 0.37/0.58 (step @p32 :rule cong :premises (@p31 @p30) :args ((=> @t15 @t29))) % 0.37/0.58 (assume-push @p189 @t15) % 0.37/0.58 (step @p34 :rule instantiate :premises (@p6) :args (@t20)) % 0.37/0.58 (step-pop @p190 :rule scope :premises (@p34)) % 0.37/0.58 (step @p35 :rule process_scope :premises (@p190) :args (@t29)) % 0.37/0.58 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 0.37/0.58 (step @p38 :rule implies_elim :premises (@p37)) % 0.37/0.58 (step @p39 :rule chain_m_resolution :premises (@p38 @p6) :args (@t31 @t32 @t33)) % 0.37/0.58 (step @p40 :rule symm :premises (@p10)) % 0.37/0.58 (step @p41 :rule cnf_or_pos :args (@t31)) % 0.37/0.58 (step @p42 :rule reordering :premises (@p41) :args ((or @t30 @t24 @t28 (not @t31)))) % 0.37/0.58 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p17 @p39) :args (@t28 (@list true false false) (@list @t30 @t23 @t31))) % 0.37/0.58 (step @p44 :rule cnf_or_pos :args (@t36)) % 0.37/0.58 (step @p45 :rule reordering :premises (@p44) :args ((or @t27 @t35 (not @t36)))) % 0.37/0.58 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p26) :args (@t35 (@list true false) (@list @t27 @t36))) % 0.37/0.58 (step @p47 :rule eq-symm :args (@t16 tptp.zero)) % 0.37/0.58 (step @p48 :rule cong :premises (@p47) :args (@t17)) % 0.37/0.58 (step @p49 :rule eq_resolve :premises (@p9 @p48)) % 0.37/0.58 (step @p50 :rule instantiate :premises (@p49) :args ((@list tptp.a))) % 0.37/0.58 (step @p51 :rule eq-symm :args (@t38 @t21)) % 0.37/0.58 (step @p52 :rule refl :args (@t40)) % 0.37/0.58 (step @p53 :rule refl :args (@t42)) % 0.37/0.58 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51) :args (@t43)) % 0.37/0.58 (step @p55 :rule cong :premises (@p31 @p54) :args ((=> @t15 @t43))) % 0.37/0.58 (assume-push @p191 @t15) % 0.37/0.58 (step @p57 :rule instantiate :premises (@p6) :args (@t44)) % 0.37/0.58 (step-pop @p192 :rule scope :premises (@p57)) % 0.37/0.58 (step @p58 :rule process_scope :premises (@p192) :args (@t43)) % 0.37/0.58 (step @p60 :rule eq_resolve :premises (@p58 @p55)) % 0.37/0.58 (step @p61 :rule implies_elim :premises (@p60)) % 0.37/0.58 (step @p62 :rule chain_m_resolution :premises (@p61 @p6) :args (@t46 @t32 @t33)) % 0.37/0.58 (step @p63 :rule instantiate :premises (@p3) :args (@t44)) % 0.37/0.58 (step @p64 :rule true_intro :premises (@p63)) % 0.37/0.58 (step @p65 :rule refl :args (@t38)) % 0.37/0.58 (step @p66 :rule instantiate :premises (@p15) :args (@t44)) % 0.37/0.58 (step @p67 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.a tptp.zero))) % 0.37/0.58 (step @p68 :rule cnf_or_pos :args (@t48)) % 0.37/0.58 (step @p69 :rule reordering :premises (@p68) :args ((or @t42 @t47 (not @t48)))) % 0.37/0.58 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p66) :args (@t47 @t26 (@list @t41 @t48))) % 0.37/0.58 (step @p71 :rule symm :premises (@p20)) % 0.37/0.58 (step @p72 :rule trans :premises (@p71 @p70)) % 0.37/0.58 (step @p73 :rule cong :premises (@p72 @p65) :args (@t39)) % 0.37/0.58 (step @p74 :rule trans :premises (@p73 @p64)) % 0.37/0.58 (step @p75 :rule true_elim :premises (@p74)) % 0.37/0.58 (step @p76 :rule cnf_or_pos :args (@t46)) % 0.37/0.58 (step @p77 :rule reordering :premises (@p76) :args ((or @t42 @t40 @t45 (not @t46)))) % 0.37/0.58 (step @p78 :rule chain_m_resolution :premises (@p77 @p67 @p75 @p62) :args (@t45 @t49 (@list @t41 @t39 @t46))) % 0.37/0.58 (step @p79 :rule eq-symm :args (@t51 @t38)) % 0.37/0.58 (step @p80 :rule refl :args (@t53)) % 0.37/0.58 (step @p81 :rule refl :args (@t55)) % 0.37/0.58 (step @p82 :rule nary_cong :premises (@p81 @p80 @p79) :args (@t56)) % 0.37/0.58 (step @p83 :rule cong :premises (@p31 @p82) :args ((=> @t15 @t56))) % 0.37/0.58 (assume-push @p193 @t15) % 0.37/0.58 (step @p85 :rule instantiate :premises (@p6) :args (@t57)) % 0.37/0.58 (step-pop @p194 :rule scope :premises (@p85)) % 0.37/0.58 (step @p86 :rule process_scope :premises (@p194) :args (@t56)) % 0.37/0.58 (step @p88 :rule eq_resolve :premises (@p86 @p83)) % 0.37/0.58 (step @p89 :rule implies_elim :premises (@p88)) % 0.37/0.58 (step @p90 :rule chain_m_resolution :premises (@p89 @p6) :args (@t59 @t32 @t33)) % 0.37/0.58 (step @p91 :rule instantiate :premises (@p3) :args (@t57)) % 0.37/0.58 (step @p92 :rule true_intro :premises (@p91)) % 0.37/0.58 (step @p93 :rule refl :args (@t51)) % 0.37/0.58 (step @p94 :rule instantiate :premises (@p15) :args (@t57)) % 0.37/0.58 (step @p95 :rule instantiate :premises (@p4) :args ((@list tptp.a @t37 tptp.a))) % 0.37/0.58 (step @p96 :rule cnf_or_pos :args (@t61)) % 0.37/0.58 (step @p97 :rule reordering :premises (@p96) :args ((or @t55 @t60 (not @t61)))) % 0.37/0.58 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p94) :args (@t60 @t26 (@list @t54 @t61))) % 0.37/0.58 (step @p99 :rule trans :premises (@p71 @p98)) % 0.37/0.58 (step @p100 :rule symm :premises (@p78)) % 0.37/0.58 (step @p101 :rule trans :premises (@p100 @p99)) % 0.37/0.58 (step @p102 :rule cong :premises (@p101 @p93) :args (@t52)) % 0.37/0.58 (step @p103 :rule trans :premises (@p102 @p92)) % 0.37/0.58 (step @p104 :rule true_elim :premises (@p103)) % 0.37/0.58 (step @p105 :rule cnf_or_pos :args (@t59)) % 0.37/0.58 (step @p106 :rule reordering :premises (@p105) :args ((or @t55 @t53 @t58 (not @t59)))) % 0.37/0.58 (step @p107 :rule chain_m_resolution :premises (@p106 @p95 @p104 @p90) :args (@t58 @t49 (@list @t54 @t52 @t59))) % 0.37/0.58 (step @p108 :rule instantiate :premises (@p6) :args (@t66)) % 0.37/0.58 (step @p109 :rule instantiate :premises (@p3) :args (@t66)) % 0.37/0.58 (step @p110 :rule true_intro :premises (@p109)) % 0.37/0.58 (step @p111 :rule refl :args (@t65)) % 0.37/0.58 (step @p112 :rule instantiate :premises (@p15) :args (@t66)) % 0.37/0.58 (step @p113 :rule instantiate :premises (@p4) :args ((@list tptp.a @t50 tptp.zero))) % 0.37/0.58 (step @p114 :rule cnf_or_pos :args (@t70)) % 0.37/0.58 (step @p115 :rule reordering :premises (@p114) :args ((or @t69 @t67 (not @t70)))) % 0.37/0.58 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p112) :args (@t67 @t26 (@list @t68 @t70))) % 0.37/0.58 (step @p117 :rule trans :premises (@p71 @p116)) % 0.37/0.58 (step @p118 :rule symm :premises (@p107)) % 0.37/0.58 (step @p119 :rule refl :args (@t50)) % 0.37/0.58 (step @p120 :rule refl :args (tptp.a)) % 0.37/0.58 (step @p121 :rule cong :premises (@p120 @p50) :args (@t18)) % 0.37/0.58 (step @p122 :rule cong :premises (@p121 @p119) :args (@t62)) % 0.37/0.58 (step @p123 :rule trans :premises (@p122 @p118 @p100)) % 0.37/0.58 (step @p124 :rule trans :premises (@p123 @p117)) % 0.37/0.58 (step @p125 :rule cong :premises (@p124 @p111) :args (@t71)) % 0.37/0.58 (step @p126 :rule trans :premises (@p125 @p110)) % 0.37/0.58 (step @p127 :rule true_elim :premises (@p126)) % 0.37/0.58 (step @p128 :rule cnf_or_pos :args (@t74)) % 0.37/0.58 (step @p129 :rule reordering :premises (@p128) :args ((or @t69 @t73 @t72 (not @t74)))) % 0.37/0.58 (step @p130 :rule chain_m_resolution :premises (@p129 @p113 @p127 @p108) :args (@t72 @t49 (@list @t68 @t71 @t74))) % 0.37/0.58 (step @p131 :rule eq-symm :args (@t65 @t64)) % 0.37/0.58 (step @p132 :rule refl :args (@t76)) % 0.37/0.58 (step @p133 :rule refl :args (@t78)) % 0.37/0.58 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131) :args (@t79)) % 0.37/0.58 (step @p135 :rule cong :premises (@p31 @p134) :args ((=> @t15 @t79))) % 0.37/0.58 (assume-push @p195 @t15) % 0.37/0.58 (step @p137 :rule instantiate :premises (@p6) :args ((@list @t65 @t64))) % 0.37/0.58 (step-pop @p196 :rule scope :premises (@p137)) % 0.37/0.58 (step @p138 :rule process_scope :premises (@p196) :args (@t79)) % 0.37/0.58 (step @p140 :rule eq_resolve :premises (@p138 @p135)) % 0.37/0.58 (step @p141 :rule implies_elim :premises (@p140)) % 0.37/0.58 (step @p142 :rule chain_m_resolution :premises (@p141 @p6) :args (@t81 @t32 @t33)) % 0.37/0.58 (step @p143 :rule instantiate :premises (@p25) :args (@t82)) % 0.37/0.58 (step @p144 :rule symm :premises (@p130)) % 0.37/0.58 (step @p145 :rule symm :premises (@p50)) % 0.37/0.58 (step @p146 :rule cong :premises (@p120 @p145) :args (@t50)) % 0.37/0.58 (step @p147 :rule cong :premises (@p146 @p119) :args (@t51)) % 0.37/0.58 (step @p148 :rule trans :premises (@p20 @p78 @p107 @p147 @p144)) % 0.37/0.58 (step @p149 :rule cnf_or_pos :args (@t86)) % 0.37/0.58 (step @p150 :rule reordering :premises (@p149) :args ((or @t83 @t85 (not @t86)))) % 0.37/0.58 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p143) :args (@t83 @t26 (@list @t84 @t86))) % 0.37/0.58 (step @p152 :rule true_intro :premises (@p151)) % 0.37/0.58 (step @p153 :rule cong :premises (@p71 @p121) :args (@t87)) % 0.37/0.58 (step @p154 :rule instantiate :premises (@p15) :args ((@list @t21 @t18))) % 0.37/0.58 (step @p155 :rule instantiate :premises (@p3) :args (@t20)) % 0.37/0.58 (step @p156 :rule cnf_or_pos :args (@t91)) % 0.37/0.58 (step @p157 :rule reordering :premises (@p156) :args ((or @t90 @t88 (not @t91)))) % 0.37/0.58 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p154) :args (@t88 @t26 (@list @t89 @t91))) % 0.37/0.58 (step @p159 :rule trans :premises (@p130 @p122 @p118 @p100 @p71 @p158 @p153)) % 0.37/0.58 (step @p160 :rule refl :args (@t64)) % 0.37/0.58 (step @p161 :rule cong :premises (@p160 @p159) :args (@t75)) % 0.37/0.58 (step @p162 :rule trans :premises (@p161 @p152)) % 0.37/0.58 (step @p163 :rule true_elim :premises (@p162)) % 0.37/0.58 (step @p164 :rule instantiate :premises (@p3) :args (@t82)) % 0.37/0.58 (step @p165 :rule cnf_or_pos :args (@t81)) % 0.37/0.58 (step @p166 :rule reordering :premises (@p165) :args ((or @t78 @t76 @t80 (not @t81)))) % 0.37/0.58 (step @p167 :rule chain_m_resolution :premises (@p166 @p164 @p163 @p142) :args (@t80 @t49 (@list @t77 @t75 @t81))) % 0.37/0.58 (assume-push @p197 @t22) % 0.37/0.58 (assume-push @p198 @t92) % 0.37/0.58 (assume-push @p199 @t45) % 0.37/0.58 (assume-push @p200 @t58) % 0.37/0.58 (assume-push @p201 @t72) % 0.37/0.58 (assume-push @p202 @t80) % 0.37/0.58 (step @p174 :rule cong :premises (@p120 @p146) :args (@t64)) % 0.37/0.58 (step @p175 :rule symm :premises (@p167)) % 0.37/0.58 (step @p176 :rule trans :premises (@p20 @p78 @p107 @p147 @p144 @p175 @p174)) % 0.37/0.58 (step-pop @p203 :rule scope :premises (@p176)) % 0.37/0.58 (step-pop @p204 :rule scope :premises (@p203)) % 0.37/0.58 (step-pop @p205 :rule scope :premises (@p204)) % 0.37/0.58 (step-pop @p206 :rule scope :premises (@p205)) % 0.37/0.58 (step-pop @p207 :rule scope :premises (@p206)) % 0.37/0.58 (step-pop @p208 :rule scope :premises (@p207)) % 0.37/0.58 (step @p177 :rule process_scope :premises (@p208) :args (@t34)) % 0.37/0.58 (step @p184 :rule implies_elim :premises (@p177)) % 0.37/0.58 (step @p185 :rule cnf_and_neg :args (@t93)) % 0.37/0.58 (step @p186 :rule resolution :premises (@p185 @p184) :args (true @t93)) % 0.37/0.58 (step @p187 :rule reordering :premises (@p186) :args ((or (not @t22) @t34 (not @t92) (not @t45) (not @t58) (not @t72) (not @t80)))) % 0.37/0.58 (step @p188 false :rule chain_m_resolution :premises (@p187 @p167 @p130 @p107 @p78 @p50 @p46 @p20) :args (false (@list false false false false false true false) (@list @t80 @t72 @t58 @t45 @t92 @t34 @t22))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------