%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM830^5 : TPTP v9.2.1. Bugfixed v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:40:45 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 : NUM830^5 : TPTP v9.2.1. Bugfixed v5.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 12:26:56 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.37/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 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 tptp.n 0) % 0.37/0.57 (declare-const tptp.cPA_4 Bool) % 0.37/0.57 (declare-const tptp.cPA_3 Bool) % 0.37/0.57 (declare-const tptp.c_star (-> tptp.n tptp.n tptp.n)) % 0.37/0.57 (declare-const tptp.cPA_2 Bool) % 0.37/0.57 (declare-const tptp.cS (-> tptp.n tptp.n)) % 0.37/0.57 (declare-const tptp.cPA_1 Bool) % 0.37/0.57 (declare-const tptp.c_plus (-> tptp.n tptp.n tptp.n)) % 0.37/0.57 (declare-const tptp.c0 tptp.n) % 0.37/0.57 (define @t1 () (@var "Xx" tptp.n)) % 0.37/0.57 (define @t2 () (_ tptp.c_plus @t1)) % 0.37/0.57 (define @t3 () (_ @t2 tptp.c0)) % 0.37/0.57 (define @t4 () (@list @t1)) % 0.37/0.57 (define @t5 () (forall @t4 (= @t3 @t1))) % 0.37/0.57 (define @t6 () (= tptp.cPA_1 @t5)) % 0.37/0.57 (define @t7 () (@var "Xy" tptp.n)) % 0.37/0.57 (define @t8 () (_ @t2 @t7)) % 0.37/0.57 (define @t9 () (_ tptp.cS @t8)) % 0.37/0.57 (define @t10 () (_ tptp.cS @t7)) % 0.37/0.57 (define @t11 () (_ @t2 @t10)) % 0.37/0.57 (define @t12 () (= @t11 @t9)) % 0.37/0.57 (define @t13 () (@list @t1 @t7)) % 0.37/0.57 (define @t14 () (forall @t13 @t12)) % 0.37/0.57 (define @t15 () (= tptp.cPA_2 @t14)) % 0.37/0.57 (define @t16 () (_ tptp.c_star @t1)) % 0.37/0.57 (define @t17 () (_ @t16 tptp.c0)) % 0.37/0.57 (define @t18 () (forall @t4 (= @t17 tptp.c0))) % 0.37/0.57 (define @t19 () (= tptp.cPA_3 @t18)) % 0.37/0.57 (define @t20 () (_ @t16 @t7)) % 0.37/0.57 (define @t21 () (_ (_ tptp.c_plus @t20) @t1)) % 0.37/0.57 (define @t22 () (_ @t16 @t10)) % 0.37/0.57 (define @t23 () (= @t22 @t21)) % 0.37/0.57 (define @t24 () (forall @t13 @t23)) % 0.37/0.57 (define @t25 () (= tptp.cPA_4 @t24)) % 0.37/0.57 (define @t26 () (_ tptp.cS tptp.c0)) % 0.37/0.57 (define @t27 () (_ tptp.cS @t26)) % 0.37/0.57 (define @t28 () (_ (_ tptp.c_plus @t27) @t27)) % 0.37/0.57 (define @t29 () (_ (_ tptp.c_star @t27) @t27)) % 0.37/0.57 (define @t30 () (= @t29 @t28)) % 0.37/0.57 (define @t31 () (and tptp.cPA_1 tptp.cPA_2 tptp.cPA_3 tptp.cPA_4)) % 0.37/0.57 (define @t32 () (=> @t31 @t30)) % 0.37/0.57 (define @t33 () (not @t32)) % 0.37/0.57 (define @t34 () (tptp.cS tptp.c0)) % 0.37/0.57 (define @t35 () (tptp.cS @t34)) % 0.37/0.57 (define @t36 () (tptp.c_star @t35 @t35)) % 0.37/0.57 (define @t37 () (tptp.c_plus @t35 @t35)) % 0.37/0.57 (define @t38 () (tptp.c_star @t1 @t7)) % 0.37/0.57 (define @t39 () (tptp.c_plus @t38 @t1)) % 0.37/0.57 (define @t40 () (tptp.cS @t7)) % 0.37/0.57 (define @t41 () (tptp.c_star @t1 @t40)) % 0.37/0.57 (define @t42 () (tptp.c_star @t1 tptp.c0)) % 0.37/0.57 (define @t43 () (tptp.c_plus @t1 @t7)) % 0.37/0.57 (define @t44 () (tptp.cS @t43)) % 0.37/0.57 (define @t45 () (tptp.c_plus @t1 @t40)) % 0.37/0.57 (define @t46 () (tptp.c_plus @t1 tptp.c0)) % 0.37/0.57 (define @t47 () (and (forall @t4 (= @t1 @t46)) (forall @t13 (= @t45 @t44)) (forall @t4 (= tptp.c0 @t42)) (forall @t13 (= @t41 @t39)))) % 0.37/0.57 (define @t48 () (=> @t47 @t30)) % 0.37/0.57 (define @t49 () (= tptp.c0 @t17)) % 0.37/0.57 (define @t50 () (= @t1 @t3)) % 0.37/0.57 (define @t51 () (@list @t35 @t34)) % 0.37/0.57 (define @t52 () (@list @t35 tptp.c0)) % 0.37/0.57 (define @t53 () (tptp.c_star @t35 @t34)) % 0.37/0.57 (define @t54 () (@list @t35)) % 0.37/0.57 (define @t55 () (tptp.c_star @t35 tptp.c0)) % 0.37/0.57 (define @t56 () (tptp.c_plus @t35 @t34)) % 0.37/0.57 (define @t57 () (tptp.cS @t56)) % 0.37/0.57 (define @t58 () (= @t37 @t57)) % 0.37/0.57 (define @t59 () (tptp.c_plus @t53 @t35)) % 0.37/0.57 (define @t60 () (= @t36 @t59)) % 0.37/0.57 (define @t61 () (tptp.c_plus @t35 tptp.c0)) % 0.37/0.57 (define @t62 () (tptp.cS @t61)) % 0.37/0.57 (define @t63 () (= @t56 @t62)) % 0.37/0.57 (define @t64 () (tptp.c_plus @t53 @t34)) % 0.37/0.57 (define @t65 () (= @t59 (tptp.cS @t64))) % 0.37/0.57 (define @t66 () (tptp.c_plus @t55 @t35)) % 0.37/0.57 (define @t67 () (= @t53 @t66)) % 0.37/0.57 (define @t68 () (= @t35 @t61)) % 0.37/0.57 (define @t69 () (= tptp.c0 @t55)) % 0.37/0.57 (define @t70 () (tptp.c_plus @t53 tptp.c0)) % 0.37/0.57 (define @t71 () (= @t64 (tptp.cS @t70))) % 0.37/0.57 (define @t72 () (tptp.c_plus @t55 @t34)) % 0.37/0.57 (define @t73 () (= @t66 (tptp.cS @t72))) % 0.37/0.57 (define @t74 () (= @t53 @t70)) % 0.37/0.57 (define @t75 () (tptp.c_plus @t55 tptp.c0)) % 0.37/0.57 (define @t76 () (= @t72 (tptp.cS @t75))) % 0.37/0.57 (define @t77 () (= @t55 @t75)) % 0.37/0.57 (define @t78 () (= @t37 @t36)) % 0.37/0.57 (define @t79 () (and @t58 @t60 @t63 @t65 @t67 @t68 @t69 @t71 @t73 @t74 @t76 @t77)) % 0.37/0.57 (assume @p1 @t6) % 0.37/0.57 (assume @p2 @t15) % 0.37/0.57 (assume @p3 @t19) % 0.37/0.57 (assume @p4 @t25) % 0.37/0.57 (assume @p5 @t33) % 0.37/0.57 (assume @p6 true) % 0.37/0.57 (step @p7 :rule eq-symm :args (@t36 @t37)) % 0.37/0.57 (step @p8 :rule refl :args ((tptp.c_plus @t27 @t27))) % 0.37/0.57 (step @p9 :rule refl :args ((tptp.cS @t26))) % 0.37/0.57 (step @p10 :rule refl :args (@t34)) % 0.37/0.57 (step @p11 :rule cong :premises (@p10) :args (@t35)) % 0.37/0.57 (step @p12 :rule trans :premises (@p11 @p9)) % 0.37/0.57 (step @p13 :rule cong :premises (@p12 @p12) :args (@t37)) % 0.37/0.57 (step @p14 :rule trans :premises (@p13 @p8)) % 0.37/0.57 (step @p15 :rule refl :args (tptp.c_plus)) % 0.37/0.57 (step @p16 :rule ho_cong :premises (@p15 @p12)) % 0.37/0.57 (step @p17 :rule ho_cong :premises (@p16 @p12)) % 0.37/0.57 (step @p18 :rule cong :premises (@p17 @p14) :args ((= (_ (_ tptp.c_plus @t35) @t35) @t37))) % 0.37/0.57 (step @p19 :rule symm :premises (@p18)) % 0.37/0.57 (step @p20 :rule refl :args (@t28)) % 0.37/0.57 (step @p21 :rule eq_resolve :premises (@p20 @p19)) % 0.37/0.57 (step @p22 :rule refl :args (tptp.cS)) % 0.37/0.57 (step @p23 :rule ho_cong :premises (@p22 @p10)) % 0.37/0.57 (step @p24 :rule cong :premises (@p23 @p12) :args ((= (_ tptp.cS @t34) @t35))) % 0.37/0.57 (step @p25 :rule symm :premises (@p24)) % 0.37/0.57 (step @p26 :rule refl :args (@t27)) % 0.37/0.57 (step @p27 :rule eq_resolve :premises (@p26 @p25)) % 0.37/0.57 (step @p28 :rule refl :args (@t26)) % 0.37/0.57 (step @p29 :rule cong :premises (@p28 @p10) :args ((= @t26 @t34))) % 0.37/0.57 (step @p30 :rule symm :premises (@p29)) % 0.37/0.57 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.37/0.57 (step @p32 :rule refl :args (tptp.cS)) % 0.37/0.57 (step @p33 :rule ho_cong :premises (@p32 @p31)) % 0.37/0.57 (step @p34 :rule trans :premises (@p33 @p27)) % 0.37/0.57 (step @p35 :rule refl :args (tptp.c_plus)) % 0.37/0.57 (step @p36 :rule ho_cong :premises (@p35 @p34)) % 0.37/0.57 (step @p37 :rule ho_cong :premises (@p36 @p34)) % 0.37/0.57 (step @p38 :rule trans :premises (@p37 @p21)) % 0.37/0.57 (step @p39 :rule refl :args ((tptp.c_star @t27 @t27))) % 0.37/0.57 (step @p40 :rule cong :premises (@p12 @p12) :args (@t36)) % 0.37/0.57 (step @p41 :rule trans :premises (@p40 @p39)) % 0.37/0.57 (step @p42 :rule refl :args (tptp.c_star)) % 0.37/0.57 (step @p43 :rule ho_cong :premises (@p42 @p12)) % 0.37/0.57 (step @p44 :rule ho_cong :premises (@p43 @p12)) % 0.37/0.57 (step @p45 :rule cong :premises (@p44 @p41) :args ((= (_ (_ tptp.c_star @t35) @t35) @t36))) % 0.37/0.57 (step @p46 :rule symm :premises (@p45)) % 0.37/0.57 (step @p47 :rule refl :args (@t29)) % 0.37/0.57 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.37/0.57 (step @p49 :rule refl :args (tptp.c_star)) % 0.37/0.57 (step @p50 :rule ho_cong :premises (@p49 @p34)) % 0.37/0.57 (step @p51 :rule ho_cong :premises (@p50 @p34)) % 0.37/0.57 (step @p52 :rule trans :premises (@p51 @p48)) % 0.37/0.57 (step @p53 :rule cong :premises (@p52 @p38) :args (@t30)) % 0.37/0.57 (step @p54 :rule trans :premises (@p53 @p7)) % 0.37/0.57 (step @p55 :rule refl :args (@t47)) % 0.37/0.57 (step @p56 :rule cong :premises (@p55 @p54) :args (@t48)) % 0.37/0.57 (step @p57 :rule cong :premises (@p56) :args ((not @t48))) % 0.37/0.57 (step @p58 :rule refl :args (@t30)) % 0.37/0.57 (step @p59 :rule refl :args ((tptp.c_plus @t20 @t1))) % 0.37/0.57 (step @p60 :rule refl :args (@t1)) % 0.37/0.57 (step @p61 :rule refl :args (@t38)) % 0.37/0.57 (step @p62 :rule cong :premises (@p61 @p60) :args (@t39)) % 0.37/0.57 (step @p63 :rule trans :premises (@p62 @p59)) % 0.37/0.57 (step @p64 :rule ho_cong :premises (@p15 @p61)) % 0.37/0.57 (step @p65 :rule ho_cong :premises (@p64 @p60)) % 0.37/0.57 (step @p66 :rule cong :premises (@p65 @p63) :args ((= (_ (_ tptp.c_plus @t38) @t1) @t39))) % 0.37/0.57 (step @p67 :rule symm :premises (@p66)) % 0.37/0.57 (step @p68 :rule refl :args (@t21)) % 0.37/0.57 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.37/0.57 (step @p70 :rule refl :args (@t20)) % 0.37/0.57 (step @p71 :rule cong :premises (@p70 @p61) :args ((= @t20 @t38))) % 0.37/0.57 (step @p72 :rule symm :premises (@p71)) % 0.37/0.57 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 0.37/0.57 (step @p74 :rule ho_cong :premises (@p15 @p73)) % 0.37/0.57 (step @p75 :rule ho_cong :premises (@p74 @p60)) % 0.37/0.57 (step @p76 :rule trans :premises (@p75 @p69)) % 0.37/0.57 (step @p77 :rule refl :args ((tptp.c_star @t1 @t10))) % 0.37/0.57 (step @p78 :rule refl :args (@t40)) % 0.37/0.57 (step @p79 :rule cong :premises (@p60 @p78) :args (@t41)) % 0.37/0.57 (step @p80 :rule trans :premises (@p79 @p77)) % 0.37/0.57 (step @p81 :rule refl :args (@t16)) % 0.37/0.57 (step @p82 :rule ho_cong :premises (@p81 @p78)) % 0.37/0.57 (step @p83 :rule cong :premises (@p82 @p80) :args ((= (_ @t16 @t40) @t41))) % 0.37/0.57 (step @p84 :rule symm :premises (@p83)) % 0.37/0.57 (step @p85 :rule refl :args (@t22)) % 0.37/0.57 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.37/0.57 (step @p87 :rule refl :args (@t10)) % 0.37/0.57 (step @p88 :rule cong :premises (@p87 @p78) :args ((= @t10 @t40))) % 0.37/0.57 (step @p89 :rule symm :premises (@p88)) % 0.37/0.57 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 0.37/0.57 (step @p91 :rule ho_cong :premises (@p81 @p90)) % 0.37/0.57 (step @p92 :rule trans :premises (@p91 @p86)) % 0.37/0.57 (step @p93 :rule cong :premises (@p92 @p76) :args (@t23)) % 0.37/0.57 (step @p94 :rule cong :premises (@p93) :args (@t24)) % 0.37/0.57 (step @p95 :rule refl :args (tptp.cPA_4)) % 0.37/0.57 (step @p96 :rule cong :premises (@p95 @p94) :args (@t25)) % 0.37/0.57 (step @p97 :rule eq_resolve :premises (@p4 @p96)) % 0.37/0.57 (step @p98 :rule refl :args (@t42)) % 0.37/0.57 (step @p99 :rule refl :args (@t17)) % 0.37/0.57 (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t17 @t42))) % 0.37/0.57 (step @p101 :rule symm :premises (@p100)) % 0.37/0.57 (step @p102 :rule eq_resolve :premises (@p99 @p101)) % 0.37/0.57 (step @p103 :rule refl :args (tptp.c0)) % 0.37/0.57 (step @p104 :rule cong :premises (@p103 @p102) :args (@t49)) % 0.37/0.57 (step @p105 :rule cong :premises (@p104) :args ((forall @t4 @t49))) % 0.37/0.57 (step @p106 :rule eq-symm :args (@t17 tptp.c0)) % 0.37/0.57 (step @p107 :rule cong :premises (@p106) :args (@t18)) % 0.37/0.57 (step @p108 :rule trans :premises (@p107 @p105)) % 0.37/0.57 (step @p109 :rule refl :args (tptp.cPA_3)) % 0.37/0.57 (step @p110 :rule cong :premises (@p109 @p108) :args (@t19)) % 0.37/0.57 (step @p111 :rule eq_resolve :premises (@p3 @p110)) % 0.37/0.57 (step @p112 :rule refl :args ((tptp.cS @t8))) % 0.37/0.57 (step @p113 :rule refl :args (@t43)) % 0.37/0.57 (step @p114 :rule cong :premises (@p113) :args (@t44)) % 0.37/0.57 (step @p115 :rule trans :premises (@p114 @p112)) % 0.37/0.57 (step @p116 :rule ho_cong :premises (@p22 @p113)) % 0.37/0.57 (step @p117 :rule cong :premises (@p116 @p115) :args ((= (_ tptp.cS @t43) @t44))) % 0.37/0.57 (step @p118 :rule symm :premises (@p117)) % 0.37/0.57 (step @p119 :rule refl :args (@t9)) % 0.37/0.57 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 0.37/0.57 (step @p121 :rule refl :args (@t8)) % 0.37/0.57 (step @p122 :rule cong :premises (@p121 @p113) :args ((= @t8 @t43))) % 0.37/0.57 (step @p123 :rule symm :premises (@p122)) % 0.37/0.57 (step @p124 :rule eq_resolve :premises (@p121 @p123)) % 0.37/0.57 (step @p125 :rule ho_cong :premises (@p22 @p124)) % 0.37/0.57 (step @p126 :rule trans :premises (@p125 @p120)) % 0.37/0.57 (step @p127 :rule refl :args ((tptp.c_plus @t1 @t10))) % 0.37/0.57 (step @p128 :rule cong :premises (@p60 @p78) :args (@t45)) % 0.37/0.57 (step @p129 :rule trans :premises (@p128 @p127)) % 0.37/0.57 (step @p130 :rule refl :args (@t2)) % 0.37/0.57 (step @p131 :rule ho_cong :premises (@p130 @p78)) % 0.37/0.57 (step @p132 :rule cong :premises (@p131 @p129) :args ((= (_ @t2 @t40) @t45))) % 0.37/0.57 (step @p133 :rule symm :premises (@p132)) % 0.37/0.57 (step @p134 :rule refl :args (@t11)) % 0.37/0.57 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 0.37/0.57 (step @p136 :rule ho_cong :premises (@p130 @p90)) % 0.37/0.57 (step @p137 :rule trans :premises (@p136 @p135)) % 0.37/0.57 (step @p138 :rule cong :premises (@p137 @p126) :args (@t12)) % 0.37/0.57 (step @p139 :rule cong :premises (@p138) :args (@t14)) % 0.37/0.57 (step @p140 :rule refl :args (tptp.cPA_2)) % 0.37/0.57 (step @p141 :rule cong :premises (@p140 @p139) :args (@t15)) % 0.37/0.57 (step @p142 :rule eq_resolve :premises (@p2 @p141)) % 0.37/0.57 (step @p143 :rule refl :args (@t46)) % 0.37/0.57 (step @p144 :rule refl :args (@t3)) % 0.37/0.57 (step @p145 :rule cong :premises (@p144 @p143) :args ((= @t3 @t46))) % 0.37/0.57 (step @p146 :rule symm :premises (@p145)) % 0.37/0.57 (step @p147 :rule eq_resolve :premises (@p144 @p146)) % 0.37/0.57 (step @p148 :rule cong :premises (@p60 @p147) :args (@t50)) % 0.37/0.57 (step @p149 :rule cong :premises (@p148) :args ((forall @t4 @t50))) % 0.37/0.57 (step @p150 :rule eq-symm :args (@t3 @t1)) % 0.37/0.57 (step @p151 :rule cong :premises (@p150) :args (@t5)) % 0.37/0.57 (step @p152 :rule trans :premises (@p151 @p149)) % 0.37/0.57 (step @p153 :rule refl :args (tptp.cPA_1)) % 0.37/0.57 (step @p154 :rule cong :premises (@p153 @p152) :args (@t6)) % 0.37/0.57 (step @p155 :rule eq_resolve :premises (@p1 @p154)) % 0.37/0.57 (step @p156 :rule nary_cong :premises (@p155 @p142 @p111 @p97) :args (@t31)) % 0.37/0.57 (step @p157 :rule cong :premises (@p156 @p58) :args (@t32)) % 0.37/0.57 (step @p158 :rule cong :premises (@p157) :args (@t33)) % 0.37/0.57 (step @p159 :rule trans :premises (@p158 @p57)) % 0.37/0.57 (step @p160 :rule eq_resolve :premises (@p5 @p159)) % 0.37/0.57 (step @p161 :rule not_implies_elim2 :premises (@p160)) % 0.37/0.57 (step @p162 :rule not_implies_elim1 :premises (@p160)) % 0.37/0.57 (step @p163 :rule and_elim :premises (@p162) :args (1)) % 0.37/0.57 (step @p164 :rule instantiate :premises (@p163) :args (@t51)) % 0.37/0.57 (step @p165 :rule and_elim :premises (@p162) :args (3)) % 0.37/0.57 (step @p166 :rule instantiate :premises (@p165) :args (@t51)) % 0.37/0.57 (step @p167 :rule instantiate :premises (@p163) :args (@t52)) % 0.37/0.57 (step @p168 :rule instantiate :premises (@p163) :args ((@list @t53 @t34))) % 0.37/0.57 (step @p169 :rule instantiate :premises (@p165) :args (@t52)) % 0.37/0.57 (step @p170 :rule and_elim :premises (@p162) :args (0)) % 0.37/0.57 (step @p171 :rule instantiate :premises (@p170) :args (@t54)) % 0.37/0.57 (step @p172 :rule and_elim :premises (@p162) :args (2)) % 0.37/0.57 (step @p173 :rule instantiate :premises (@p172) :args (@t54)) % 0.37/0.57 (step @p174 :rule instantiate :premises (@p163) :args ((@list @t53 tptp.c0))) % 0.37/0.57 (step @p175 :rule instantiate :premises (@p163) :args ((@list @t55 @t34))) % 0.37/0.58 (step @p176 :rule instantiate :premises (@p170) :args ((@list @t53))) % 0.37/0.58 (step @p177 :rule instantiate :premises (@p163) :args ((@list @t55 tptp.c0))) % 0.37/0.58 (step @p178 :rule instantiate :premises (@p170) :args ((@list @t55))) % 0.37/0.58 (assume-push @p226 @t58) % 0.37/0.58 (assume-push @p227 @t60) % 0.37/0.58 (assume-push @p228 @t63) % 0.37/0.58 (assume-push @p229 @t65) % 0.37/0.58 (assume-push @p230 @t67) % 0.37/0.58 (assume-push @p231 @t68) % 0.37/0.58 (assume-push @p232 @t69) % 0.37/0.58 (assume-push @p233 @t71) % 0.37/0.58 (assume-push @p234 @t73) % 0.37/0.58 (assume-push @p235 @t74) % 0.37/0.58 (assume-push @p236 @t76) % 0.37/0.58 (assume-push @p237 @t77) % 0.37/0.58 (step @p191 :rule symm :premises (@p166)) % 0.37/0.58 (step @p192 :rule symm :premises (@p168)) % 0.37/0.58 (step @p193 :rule symm :premises (@p174)) % 0.37/0.58 (step @p194 :rule symm :premises (@p169)) % 0.37/0.58 (step @p195 :rule symm :premises (@p175)) % 0.37/0.58 (step @p196 :rule symm :premises (@p177)) % 0.37/0.58 (step @p197 :rule trans :premises (@p173 @p178)) % 0.37/0.58 (step @p198 :rule cong :premises (@p197) :args (@t34)) % 0.37/0.58 (step @p199 :rule trans :premises (@p198 @p196)) % 0.37/0.58 (step @p200 :rule cong :premises (@p199) :args (@t35)) % 0.37/0.58 (step @p201 :rule trans :premises (@p200 @p195 @p194 @p176)) % 0.37/0.58 (step @p202 :rule cong :premises (@p201) :args ((tptp.cS @t35))) % 0.37/0.58 (step @p203 :rule symm :premises (@p171)) % 0.37/0.58 (step @p204 :rule cong :premises (@p203) :args (@t62)) % 0.37/0.58 (step @p205 :rule trans :premises (@p167 @p204 @p202 @p193)) % 0.37/0.58 (step @p206 :rule cong :premises (@p205) :args (@t57)) % 0.37/0.58 (step @p207 :rule trans :premises (@p164 @p206 @p192 @p191)) % 0.37/0.58 (step-pop @p238 :rule scope :premises (@p207)) % 0.37/0.58 (step-pop @p239 :rule scope :premises (@p238)) % 0.37/0.58 (step-pop @p240 :rule scope :premises (@p239)) % 0.37/0.58 (step-pop @p241 :rule scope :premises (@p240)) % 0.37/0.58 (step-pop @p242 :rule scope :premises (@p241)) % 0.37/0.58 (step-pop @p243 :rule scope :premises (@p242)) % 0.37/0.58 (step-pop @p244 :rule scope :premises (@p243)) % 0.37/0.58 (step-pop @p245 :rule scope :premises (@p244)) % 0.37/0.58 (step-pop @p246 :rule scope :premises (@p245)) % 0.37/0.58 (step-pop @p247 :rule scope :premises (@p246)) % 0.37/0.58 (step-pop @p248 :rule scope :premises (@p247)) % 0.37/0.58 (step-pop @p249 :rule scope :premises (@p248)) % 0.37/0.58 (step @p208 :rule process_scope :premises (@p249) :args (@t78)) % 0.37/0.58 (step @p221 :rule implies_elim :premises (@p208)) % 0.37/0.58 (step @p222 :rule cnf_and_neg :args (@t79)) % 0.37/0.58 (step @p223 :rule resolution :premises (@p222 @p221) :args (true @t79)) % 0.37/0.58 (step @p224 :rule reordering :premises (@p223) :args ((or @t78 (not @t58) (not @t60) (not @t63) (not @t65) (not @t67) (not @t68) (not @t69) (not @t71) (not @t73) (not @t74) (not @t76) (not @t77)))) % 0.37/0.58 (step @p225 false :rule chain_m_resolution :premises (@p224 @p178 @p177 @p176 @p175 @p174 @p173 @p171 @p169 @p168 @p167 @p166 @p164 @p161) :args (false (@list false false false false false false false false false false false false true) (@list @t77 @t76 @t74 @t73 @t71 @t69 @t68 @t67 @t65 @t63 @t60 @t58 @t78))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------