%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP542-1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:20:54 AM UTC 2026 % Result : Unsatisfiable 0.40s 0.60s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP542-1 : TPTP v9.2.1. Released v2.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.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 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 01:15:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.60 % SZS status Unsatisfiable % 0.40/0.60 % SZS output start Proof % 0.40/0.61 ( % 0.40/0.61 (declare-sort $$unsorted 0) % 0.40/0.61 (declare-const tptp.a2 $$unsorted) % 0.40/0.61 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.b2 $$unsorted) % 0.40/0.61 (declare-const tptp.identity $$unsorted) % 0.40/0.61 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.61 (define @t1 () (@var "B" $$unsorted)) % 0.40/0.61 (define @t2 () (@var "C" $$unsorted)) % 0.40/0.61 (define @t3 () (@var "A" $$unsorted)) % 0.40/0.61 (define @t4 () (tptp.divide (tptp.divide tptp.identity (tptp.divide (tptp.divide (tptp.divide @t3 @t1) @t2) @t3)) @t2)) % 0.40/0.61 (define @t5 () (@list @t3 @t1 @t2)) % 0.40/0.61 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.40/0.61 (define @t7 () (@list @t3)) % 0.40/0.61 (define @t8 () (tptp.inverse tptp.b2)) % 0.40/0.61 (define @t9 () (tptp.multiply @t8 tptp.b2)) % 0.40/0.61 (define @t10 () (tptp.divide tptp.identity tptp.a2)) % 0.40/0.61 (define @t11 () (tptp.divide tptp.identity tptp.b2)) % 0.40/0.61 (define @t12 () (tptp.divide @t8 @t11)) % 0.40/0.61 (define @t13 () (tptp.divide @t12 @t10)) % 0.40/0.61 (define @t14 () (tptp.divide @t13 @t8)) % 0.40/0.61 (define @t15 () (tptp.divide @t14 @t9)) % 0.40/0.61 (define @t16 () (tptp.divide @t15 @t13)) % 0.40/0.61 (define @t17 () (tptp.divide @t16 tptp.identity)) % 0.40/0.61 (define @t18 () (tptp.divide @t17 @t15)) % 0.40/0.61 (define @t19 () (tptp.divide tptp.identity @t18)) % 0.40/0.61 (define @t20 () (tptp.divide @t19 tptp.identity)) % 0.40/0.61 (define @t21 () (= @t13 @t20)) % 0.40/0.61 (define @t22 () (= @t20 @t13)) % 0.40/0.61 (define @t23 () (tptp.divide tptp.identity @t14)) % 0.40/0.61 (define @t24 () (tptp.divide @t23 @t10)) % 0.40/0.61 (define @t25 () (tptp.divide (tptp.divide @t24 @t11) @t23)) % 0.40/0.61 (define @t26 () (tptp.divide tptp.identity @t25)) % 0.40/0.61 (define @t27 () (tptp.divide (tptp.divide @t26 @t11) tptp.identity)) % 0.40/0.61 (define @t28 () (tptp.divide (tptp.divide (tptp.divide @t9 @t10) @t8) @t9)) % 0.40/0.61 (define @t29 () (tptp.divide tptp.identity @t28)) % 0.40/0.61 (define @t30 () (tptp.divide @t29 @t8)) % 0.40/0.61 (define @t31 () (tptp.divide @t30 tptp.identity)) % 0.40/0.61 (define @t32 () (tptp.divide tptp.identity @t31)) % 0.40/0.61 (define @t33 () (tptp.divide @t11 @t11)) % 0.40/0.61 (define @t34 () (tptp.divide @t33 tptp.identity)) % 0.40/0.61 (define @t35 () (tptp.divide tptp.identity @t34)) % 0.40/0.61 (define @t36 () (tptp.divide @t35 @t11)) % 0.40/0.61 (define @t37 () (tptp.divide @t36 tptp.identity)) % 0.40/0.61 (define @t38 () (tptp.divide tptp.identity @t37)) % 0.40/0.61 (define @t39 () (tptp.divide @t38 @t11)) % 0.40/0.61 (define @t40 () (tptp.divide @t12 @t34)) % 0.40/0.61 (define @t41 () (tptp.divide @t40 @t8)) % 0.40/0.61 (define @t42 () (tptp.divide tptp.identity @t41)) % 0.40/0.61 (define @t43 () (tptp.divide @t33 tptp.b2)) % 0.40/0.61 (define @t44 () (tptp.divide @t43 @t11)) % 0.40/0.61 (define @t45 () (tptp.divide @t12 tptp.identity)) % 0.40/0.61 (define @t46 () (tptp.divide @t45 @t8)) % 0.40/0.61 (define @t47 () (tptp.divide @t36 @t10)) % 0.40/0.61 (define @t48 () (tptp.divide @t47 @t35)) % 0.40/0.61 (define @t49 () (tptp.divide tptp.identity @t48)) % 0.40/0.61 (define @t50 () (tptp.divide @t24 tptp.identity)) % 0.40/0.61 (define @t51 () (tptp.divide @t39 tptp.identity)) % 0.40/0.61 (define @t52 () (tptp.divide tptp.identity @t51)) % 0.40/0.61 (define @t53 () (tptp.divide @t39 @t25)) % 0.40/0.61 (define @t54 () (tptp.divide @t53 @t38)) % 0.40/0.61 (define @t55 () (tptp.divide tptp.identity @t54)) % 0.40/0.61 (define @t56 () (tptp.divide (tptp.divide @t12 @t14) @t8)) % 0.40/0.61 (define @t57 () (tptp.divide (tptp.divide (tptp.divide tptp.identity @t56) @t14) tptp.identity)) % 0.40/0.61 (define @t58 () (tptp.divide tptp.identity @t57)) % 0.40/0.61 (define @t59 () (tptp.divide @t58 @t14)) % 0.40/0.61 (define @t60 () (tptp.divide @t23 @t8)) % 0.40/0.61 (define @t61 () (tptp.divide @t60 tptp.identity)) % 0.40/0.61 (define @t62 () (tptp.divide (tptp.divide (tptp.divide tptp.identity @t16) @t9) tptp.identity)) % 0.40/0.61 (define @t63 () (tptp.divide tptp.identity @t62)) % 0.40/0.61 (define @t64 () (forall @t5 (= @t1 @t4))) % 0.40/0.61 (assume @p1 @t6) % 0.40/0.61 (assume @p2 (forall (@list @t3 @t1) (= (tptp.multiply @t3 @t1) (tptp.divide @t3 (tptp.divide tptp.identity @t1))))) % 0.40/0.61 (assume @p3 (forall @t7 (= (tptp.inverse @t3) (tptp.divide tptp.identity @t3)))) % 0.40/0.61 (assume @p4 (forall @t7 (= tptp.identity (tptp.divide @t3 @t3)))) % 0.40/0.61 (assume @p5 (not (= (tptp.multiply @t9 tptp.a2) tptp.a2))) % 0.40/0.61 (step @p6 :rule eq-symm :args (@t4 @t1)) % 0.40/0.61 (step @p7 :rule cong :premises (@p6) :args (@t6)) % 0.40/0.61 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.40/0.61 (step @p9 :rule bool-eq-false :args (@t21)) % 0.40/0.61 (step @p10 :rule symm :premises (@p9)) % 0.40/0.61 (step @p11 :rule eq-symm :args (@t20 @t13)) % 0.40/0.61 (step @p12 :rule cong :premises (@p11) :args ((not @t22))) % 0.40/0.61 (step @p13 :rule bool-eq-false :args (@t22)) % 0.40/0.61 (step @p14 :rule trans :premises (@p13 @p12)) % 0.40/0.61 (step @p15 :rule trans :premises (@p14 @p10)) % 0.40/0.61 (step @p16 :rule symm :premises (@p5)) % 0.40/0.61 (step @p17 :rule false_intro :premises (@p16)) % 0.40/0.61 (step @p18 :rule instantiate :premises (@p2) :args ((@list @t9 tptp.a2))) % 0.40/0.61 (step @p19 :rule symm :premises (@p18)) % 0.40/0.61 (step @p20 :rule refl :args (@t10)) % 0.40/0.61 (step @p21 :rule instantiate :premises (@p2) :args ((@list @t8 tptp.b2))) % 0.40/0.61 (step @p22 :rule symm :premises (@p21)) % 0.40/0.61 (step @p23 :rule cong :premises (@p22 @p20) :args (@t13)) % 0.40/0.61 (step @p24 :rule trans :premises (@p23 @p19)) % 0.40/0.61 (step @p25 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.a2 tptp.identity))) % 0.40/0.61 (step @p26 :rule symm :premises (@p25)) % 0.40/0.61 (step @p27 :rule refl :args (tptp.identity)) % 0.40/0.61 (step @p28 :rule instantiate :premises (@p8) :args ((@list @t23 @t10 @t11))) % 0.40/0.61 (step @p29 :rule symm :premises (@p28)) % 0.40/0.61 (step @p30 :rule cong :premises (@p29 @p27) :args (@t27)) % 0.40/0.61 (step @p31 :rule refl :args (tptp.a2)) % 0.40/0.61 (step @p32 :rule instantiate :premises (@p4) :args ((@list @t11))) % 0.40/0.61 (step @p33 :rule symm :premises (@p32)) % 0.40/0.61 (step @p34 :rule refl :args (@t11)) % 0.40/0.61 (step @p35 :rule instantiate :premises (@p3) :args ((@list tptp.b2))) % 0.40/0.61 (step @p36 :rule cong :premises (@p35 @p34) :args (@t12)) % 0.40/0.61 (step @p37 :rule trans :premises (@p21 @p36 @p33)) % 0.40/0.61 (step @p38 :rule trans :premises (@p22 @p37)) % 0.40/0.61 (step @p39 :rule cong :premises (@p38 @p31) :args ((tptp.divide @t12 tptp.a2))) % 0.40/0.61 (step @p40 :rule symm :premises (@p39)) % 0.40/0.61 (step @p41 :rule trans :premises (@p29 @p40)) % 0.40/0.61 (step @p42 :rule symm :premises (@p41)) % 0.40/0.61 (step @p43 :rule instantiate :premises (@p8) :args ((@list @t9 @t10 @t25))) % 0.40/0.61 (step @p44 :rule symm :premises (@p43)) % 0.40/0.61 (step @p45 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t25 @t10))) % 0.40/0.61 (step @p46 :rule symm :premises (@p45)) % 0.40/0.61 (step @p47 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t25 @t11))) % 0.40/0.61 (step @p48 :rule symm :premises (@p47)) % 0.40/0.61 (step @p49 :rule instantiate :premises (@p8) :args ((@list @t9 @t10 @t8))) % 0.40/0.61 (step @p50 :rule symm :premises (@p49)) % 0.40/0.61 (step @p51 :rule trans :premises (@p50 @p40)) % 0.40/0.61 (step @p52 :rule trans :premises (@p51 @p42)) % 0.40/0.61 (step @p53 :rule cong :premises (@p52 @p27) :args (@t31)) % 0.40/0.61 (step @p54 :rule cong :premises (@p27 @p53) :args (@t32)) % 0.40/0.61 (step @p55 :rule cong :premises (@p54 @p35) :args ((tptp.divide @t32 @t8))) % 0.40/0.61 (step @p56 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t28 @t8))) % 0.40/0.61 (step @p57 :rule trans :premises (@p56 @p55 @p48)) % 0.40/0.61 (step @p58 :rule symm :premises (@p36)) % 0.40/0.61 (step @p59 :rule instantiate :premises (@p4) :args ((@list tptp.identity))) % 0.40/0.61 (step @p60 :rule symm :premises (@p59)) % 0.40/0.61 (step @p61 :rule cong :premises (@p33 @p27) :args (@t34)) % 0.40/0.61 (step @p62 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t34 @t11))) % 0.40/0.61 (step @p63 :rule symm :premises (@p62)) % 0.40/0.61 (step @p64 :rule trans :premises (@p63 @p61 @p60 @p32 @p58 @p22)) % 0.40/0.61 (step @p65 :rule trans :premises (@p64 @p37)) % 0.40/0.61 (step @p66 :rule cong :premises (@p65 @p57) :args ((tptp.divide @t39 @t28))) % 0.40/0.61 (step @p67 :rule refl :args (@t28)) % 0.40/0.61 (step @p68 :rule symm :premises (@p65)) % 0.40/0.61 (step @p69 :rule cong :premises (@p68 @p67) :args (@t29)) % 0.40/0.61 (step @p70 :rule trans :premises (@p69 @p66)) % 0.40/0.61 (step @p71 :rule refl :args (@t9)) % 0.40/0.61 (step @p72 :rule refl :args (@t8)) % 0.40/0.61 (step @p73 :rule cong :premises (@p23 @p72) :args (@t14)) % 0.40/0.61 (step @p74 :rule cong :premises (@p73 @p71) :args (@t15)) % 0.40/0.61 (step @p75 :rule cong :premises (@p32 @p60) :args ((tptp.divide tptp.identity (tptp.divide tptp.identity tptp.identity)))) % 0.40/0.61 (step @p76 :rule cong :premises (@p27 @p61) :args (@t35)) % 0.40/0.61 (step @p77 :rule trans :premises (@p76 @p75 @p61 @p60 @p32 @p58 @p22)) % 0.40/0.61 (step @p78 :rule symm :premises (@p73)) % 0.40/0.61 (step @p79 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t14 @t10))) % 0.40/0.61 (step @p80 :rule symm :premises (@p79)) % 0.40/0.61 (step @p81 :rule trans :premises (@p61 @p60)) % 0.40/0.61 (step @p82 :rule instantiate :premises (@p8) :args ((@list @t8 @t11 @t10))) % 0.40/0.61 (step @p83 :rule trans :premises (@p35 @p82)) % 0.40/0.61 (step @p84 :rule symm :premises (@p35)) % 0.40/0.61 (step @p85 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.b2 @t11))) % 0.40/0.61 (step @p86 :rule symm :premises (@p85)) % 0.40/0.61 (step @p87 :rule refl :args (@t34)) % 0.40/0.61 (step @p88 :rule cong :premises (@p38 @p87) :args (@t40)) % 0.40/0.61 (step @p89 :rule cong :premises (@p88 @p35) :args (@t41)) % 0.40/0.61 (step @p90 :rule trans :premises (@p89 @p86)) % 0.40/0.61 (step @p91 :rule cong :premises (@p27 @p90) :args (@t42)) % 0.40/0.61 (step @p92 :rule trans :premises (@p91 @p84)) % 0.40/0.61 (step @p93 :rule trans :premises (@p92 @p83)) % 0.40/0.61 (step @p94 :rule cong :premises (@p93 @p81) :args ((tptp.divide @t42 @t34))) % 0.40/0.61 (step @p95 :rule instantiate :premises (@p8) :args ((@list @t8 @t11 @t34))) % 0.40/0.61 (step @p96 :rule trans :premises (@p35 @p95 @p94)) % 0.40/0.61 (step @p97 :rule refl :args (tptp.b2)) % 0.40/0.61 (step @p98 :rule cong :premises (@p33 @p97) :args (@t43)) % 0.40/0.61 (step @p99 :rule cong :premises (@p98 @p34) :args (@t44)) % 0.40/0.61 (step @p100 :rule trans :premises (@p99 @p33)) % 0.40/0.61 (step @p101 :rule cong :premises (@p32 @p100) :args ((tptp.divide tptp.identity @t44))) % 0.40/0.61 (step @p102 :rule trans :premises (@p101 @p61 @p60 @p32 @p58 @p22)) % 0.40/0.61 (step @p103 :rule symm :premises (@p101)) % 0.40/0.61 (step @p104 :rule cong :premises (@p36 @p27) :args (@t45)) % 0.40/0.61 (step @p105 :rule trans :premises (@p104 @p103)) % 0.40/0.61 (step @p106 :rule trans :premises (@p105 @p102 @p37)) % 0.40/0.61 (step @p107 :rule cong :premises (@p106 @p96) :args (@t46)) % 0.40/0.61 (step @p108 :rule symm :premises (@p105)) % 0.40/0.61 (step @p109 :rule symm :premises (@p102)) % 0.40/0.61 (step @p110 :rule trans :premises (@p88 @p76 @p75 @p61 @p60 @p32 @p58 @p22)) % 0.40/0.61 (step @p111 :rule trans :premises (@p110 @p109 @p108)) % 0.40/0.61 (step @p112 :rule cong :premises (@p111 @p72) :args (@t41)) % 0.40/0.61 (step @p113 :rule symm :premises (@p89)) % 0.40/0.61 (step @p114 :rule trans :premises (@p113 @p112 @p107)) % 0.40/0.61 (step @p115 :rule cong :premises (@p114 @p20) :args (@t47)) % 0.40/0.61 (step @p116 :rule trans :premises (@p115 @p80 @p73)) % 0.40/0.61 (step @p117 :rule trans :premises (@p116 @p78)) % 0.40/0.61 (step @p118 :rule cong :premises (@p117 @p77) :args (@t48)) % 0.40/0.61 (step @p119 :rule trans :premises (@p118 @p74)) % 0.40/0.61 (step @p120 :rule cong :premises (@p27 @p119) :args (@t49)) % 0.40/0.61 (step @p121 :rule trans :premises (@p120 @p70)) % 0.40/0.61 (step @p122 :rule cong :premises (@p121 @p20) :args ((tptp.divide @t49 @t10))) % 0.40/0.61 (step @p123 :rule instantiate :premises (@p8) :args ((@list @t35 @t11 @t10))) % 0.40/0.61 (step @p124 :rule trans :premises (@p35 @p123 @p122)) % 0.40/0.61 (step @p125 :rule symm :premises (@p83)) % 0.40/0.61 (step @p126 :rule trans :premises (@p125 @p124)) % 0.40/0.61 (step @p127 :rule cong :premises (@p126 @p27) :args (@t50)) % 0.40/0.61 (step @p128 :rule trans :premises (@p35 @p95 @p94 @p127)) % 0.40/0.61 (step @p129 :rule cong :premises (@p106 @p128) :args (@t46)) % 0.40/0.61 (step @p130 :rule trans :premises (@p113 @p112 @p129)) % 0.40/0.61 (step @p131 :rule symm :premises (@p114)) % 0.40/0.61 (step @p132 :rule trans :premises (@p131 @p130)) % 0.40/0.61 (step @p133 :rule cong :premises (@p132 @p20) :args ((tptp.divide (tptp.divide tptp.identity @t50) @t10))) % 0.40/0.61 (step @p134 :rule trans :premises (@p79 @p133 @p46)) % 0.40/0.61 (step @p135 :rule symm :premises (@p37)) % 0.40/0.61 (step @p136 :rule refl :args (@t25)) % 0.40/0.61 (step @p137 :rule symm :premises (@p112)) % 0.40/0.61 (step @p138 :rule trans :premises (@p58 @p22)) % 0.40/0.61 (step @p139 :rule symm :premises (@p138)) % 0.40/0.61 (step @p140 :rule trans :premises (@p64 @p139)) % 0.40/0.61 (step @p141 :rule cong :premises (@p140 @p27) :args (@t51)) % 0.40/0.61 (step @p142 :rule trans :premises (@p141 @p61 @p60)) % 0.40/0.61 (step @p143 :rule cong :premises (@p32 @p142) :args (@t52)) % 0.40/0.61 (step @p144 :rule trans :premises (@p143 @p61 @p60 @p32 @p58 @p22)) % 0.40/0.61 (step @p145 :rule trans :premises (@p144 @p109 @p108)) % 0.40/0.61 (step @p146 :rule cong :premises (@p145 @p84) :args ((tptp.divide @t52 @t11))) % 0.40/0.61 (step @p147 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t37 @t11))) % 0.40/0.61 (step @p148 :rule trans :premises (@p147 @p146 @p137 @p89 @p86)) % 0.40/0.61 (step @p149 :rule cong :premises (@p65 @p148) :args ((tptp.divide @t39 @t37))) % 0.40/0.61 (step @p150 :rule refl :args (@t37)) % 0.40/0.61 (step @p151 :rule cong :premises (@p68 @p150) :args (@t38)) % 0.40/0.61 (step @p152 :rule trans :premises (@p151 @p149)) % 0.40/0.61 (step @p153 :rule cong :premises (@p65 @p136) :args (@t53)) % 0.40/0.61 (step @p154 :rule cong :premises (@p153 @p152) :args (@t54)) % 0.40/0.61 (step @p155 :rule trans :premises (@p154 @p29)) % 0.40/0.61 (step @p156 :rule symm :premises (@p38)) % 0.40/0.61 (step @p157 :rule cong :premises (@p156 @p155) :args (@t55)) % 0.40/0.61 (step @p158 :rule trans :premises (@p157 @p23)) % 0.40/0.61 (step @p159 :rule cong :premises (@p158 @p136) :args ((tptp.divide @t55 @t25))) % 0.40/0.61 (step @p160 :rule instantiate :premises (@p8) :args ((@list @t38 @t11 @t25))) % 0.40/0.61 (step @p161 :rule trans :premises (@p35 @p160 @p159)) % 0.40/0.61 (step @p162 :rule trans :premises (@p125 @p161)) % 0.40/0.61 (step @p163 :rule cong :premises (@p162 @p135) :args (@t50)) % 0.40/0.61 (step @p164 :rule trans :premises (@p35 @p95 @p94 @p163)) % 0.40/0.61 (step @p165 :rule cong :premises (@p106 @p164) :args (@t46)) % 0.40/0.61 (step @p166 :rule trans :premises (@p113 @p112 @p165)) % 0.40/0.61 (step @p167 :rule symm :premises (@p95)) % 0.40/0.61 (step @p168 :rule symm :premises (@p94)) % 0.40/0.61 (step @p169 :rule instantiate :premises (@p8) :args ((@list @t8 @t11 @t14))) % 0.40/0.61 (step @p170 :rule symm :premises (@p169)) % 0.40/0.61 (step @p171 :rule trans :premises (@p170 @p84)) % 0.40/0.61 (step @p172 :rule trans :premises (@p171 @p83)) % 0.40/0.61 (step @p173 :rule cong :premises (@p172 @p27) :args (@t57)) % 0.40/0.61 (step @p174 :rule trans :premises (@p173 @p168 @p167 @p84)) % 0.40/0.61 (step @p175 :rule symm :premises (@p106)) % 0.40/0.61 (step @p176 :rule cong :premises (@p175 @p174) :args (@t58)) % 0.40/0.61 (step @p177 :rule trans :premises (@p176 @p137 @p89)) % 0.40/0.61 (step @p178 :rule trans :premises (@p177 @p166)) % 0.40/0.61 (step @p179 :rule cong :premises (@p178 @p134) :args (@t59)) % 0.40/0.61 (step @p180 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t56 @t14))) % 0.40/0.61 (step @p181 :rule refl :args (@t14)) % 0.40/0.61 (step @p182 :rule cong :premises (@p156 @p181) :args (@t23)) % 0.40/0.61 (step @p183 :rule cong :premises (@p182 @p72) :args (@t60)) % 0.40/0.61 (step @p184 :rule trans :premises (@p183 @p180 @p179 @p44 @p40)) % 0.40/0.61 (step @p185 :rule symm :premises (@p183)) % 0.40/0.61 (step @p186 :rule symm :premises (@p180)) % 0.40/0.61 (step @p187 :rule trans :premises (@p186 @p185)) % 0.40/0.61 (step @p188 :rule trans :premises (@p187 @p184 @p42)) % 0.40/0.61 (step @p189 :rule cong :premises (@p188 @p27) :args ((tptp.divide @t59 tptp.identity))) % 0.40/0.61 (step @p190 :rule symm :premises (@p187)) % 0.40/0.61 (step @p191 :rule cong :premises (@p190 @p27) :args (@t61)) % 0.40/0.61 (step @p192 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t61 @t8))) % 0.40/0.61 (step @p193 :rule symm :premises (@p192)) % 0.40/0.61 (step @p194 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t14 @t8))) % 0.40/0.61 (step @p195 :rule cong :premises (@p194 @p37) :args (@t15)) % 0.40/0.61 (step @p196 :rule symm :premises (@p74)) % 0.40/0.61 (step @p197 :rule symm :premises (@p56)) % 0.40/0.61 (step @p198 :rule symm :premises (@p55)) % 0.40/0.61 (step @p199 :rule trans :premises (@p47 @p198 @p197 @p196 @p195)) % 0.40/0.61 (step @p200 :rule cong :premises (@p27 @p199) :args (@t26)) % 0.40/0.61 (step @p201 :rule trans :premises (@p69 @p66 @p200)) % 0.40/0.61 (step @p202 :rule cong :premises (@p201 @p72) :args (@t30)) % 0.40/0.61 (step @p203 :rule trans :premises (@p39 @p49 @p202 @p193 @p191 @p189 @p30)) % 0.40/0.61 (step @p204 :rule trans :premises (@p41 @p203)) % 0.40/0.61 (step @p205 :rule cong :premises (@p204 @p27) :args (@t27)) % 0.40/0.61 (step @p206 :rule trans :premises (@p49 @p202 @p193 @p191 @p189 @p205)) % 0.40/0.61 (step @p207 :rule cong :premises (@p38 @p206) :args (@t13)) % 0.40/0.61 (step @p208 :rule symm :premises (@p133)) % 0.40/0.61 (step @p209 :rule trans :premises (@p74 @p56 @p55 @p48 @p45 @p208 @p80)) % 0.40/0.61 (step @p210 :rule symm :premises (@p177)) % 0.40/0.61 (step @p211 :rule instantiate :premises (@p8) :args ((@list @t13 @t8 @t9))) % 0.40/0.61 (step @p212 :rule symm :premises (@p211)) % 0.40/0.61 (step @p213 :rule trans :premises (@p212 @p83)) % 0.40/0.61 (step @p214 :rule cong :premises (@p213 @p27) :args (@t62)) % 0.40/0.61 (step @p215 :rule trans :premises (@p214 @p168 @p167 @p84)) % 0.40/0.61 (step @p216 :rule cong :premises (@p175 @p215) :args (@t63)) % 0.40/0.61 (step @p217 :rule trans :premises (@p216 @p137 @p89)) % 0.40/0.61 (step @p218 :rule cong :premises (@p217 @p37) :args ((tptp.divide @t63 @t9))) % 0.40/0.61 (step @p219 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t16 @t9))) % 0.40/0.61 (step @p220 :rule trans :premises (@p219 @p218 @p147 @p146 @p137 @p89)) % 0.40/0.61 (step @p221 :rule cong :premises (@p220 @p27) :args (@t17)) % 0.40/0.61 (step @p222 :rule trans :premises (@p221 @p147 @p146 @p137 @p89)) % 0.40/0.61 (step @p223 :rule trans :premises (@p222 @p210)) % 0.40/0.61 (step @p224 :rule cong :premises (@p223 @p209) :args (@t18)) % 0.40/0.61 (step @p225 :rule trans :premises (@p224 @p179 @p44)) % 0.40/0.61 (step @p226 :rule cong :premises (@p156 @p225) :args (@t19)) % 0.40/0.61 (step @p227 :rule trans :premises (@p226 @p207)) % 0.40/0.61 (step @p228 :rule cong :premises (@p227 @p27) :args (@t20)) % 0.40/0.61 (step @p229 :rule trans :premises (@p228 @p26)) % 0.40/0.61 (step @p230 :rule cong :premises (@p229 @p24) :args (@t22)) % 0.40/0.61 (step @p231 :rule trans :premises (@p230 @p17)) % 0.40/0.61 (step @p232 :rule eq_resolve :premises (@p231 @p15)) % 0.40/0.61 (step @p233 :rule false_elim :premises (@p232)) % 0.40/0.61 (assume-push @p240 @t64) % 0.40/0.61 (step @p235 :rule instantiate :premises (@p8) :args ((@list @t15 @t13 tptp.identity))) % 0.40/0.61 (step-pop @p241 :rule scope :premises (@p235)) % 0.40/0.61 (step @p236 :rule process_scope :premises (@p241) :args (@t21)) % 0.40/0.61 (step @p238 :rule implies_elim :premises (@p236)) % 0.40/0.61 (step @p239 false :rule chain_m_resolution :premises (@p238 @p233 @p8) :args (false (@list true false) (@list @t21 @t64))) % 0.40/0.61 ) % 0.40/0.61 % SZS output end Proof % 0.40/0.61 % cvc5 exiting %------------------------------------------------------------------------------