%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP118-1 : TPTP v9.2.1. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:19:48 AM UTC 2026 % Result : Unsatisfiable 24.13s 24.36s % Output : Proof 24.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP118-1 : TPTP v9.2.1. Released v1.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 00:51:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.42/15.66 --- Run --no-e-matching --full-saturate-quant at 6... % 21.43/21.68 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 24.13/24.36 % SZS status Unsatisfiable % 24.13/24.36 % SZS output start Proof % 24.13/24.37 ( % 24.13/24.37 (declare-sort $$unsorted 0) % 24.13/24.37 (declare-const tptp.a $$unsorted) % 24.13/24.37 (declare-const tptp.b $$unsorted) % 24.13/24.37 (declare-const tptp.c $$unsorted) % 24.13/24.37 (declare-const tptp.identity $$unsorted) % 24.13/24.37 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 24.13/24.37 (define @t1 () (@var "Y" $$unsorted)) % 24.13/24.37 (define @t2 () (@var "Z" $$unsorted)) % 24.13/24.37 (define @t3 () (@var "X" $$unsorted)) % 24.13/24.37 (define @t4 () (tptp.multiply @t3 (tptp.multiply (tptp.multiply @t3 (tptp.multiply (tptp.multiply @t3 @t1) @t2)) (tptp.multiply tptp.identity (tptp.multiply @t2 @t2))))) % 24.13/24.37 (define @t5 () (@list @t3 @t1 @t2)) % 24.13/24.37 (define @t6 () (forall @t5 (= @t4 @t1))) % 24.13/24.37 (define @t7 () (tptp.multiply (tptp.multiply tptp.a tptp.b) tptp.c)) % 24.13/24.37 (define @t8 () (tptp.multiply tptp.b tptp.b)) % 24.13/24.37 (define @t9 () (tptp.multiply tptp.identity tptp.identity)) % 24.13/24.37 (define @t10 () (tptp.multiply tptp.identity @t9)) % 24.13/24.37 (define @t11 () (tptp.multiply tptp.identity tptp.c)) % 24.13/24.37 (define @t12 () (tptp.multiply @t11 tptp.identity)) % 24.13/24.37 (define @t13 () (tptp.multiply @t9 @t9)) % 24.13/24.37 (define @t14 () (tptp.multiply tptp.identity @t13)) % 24.13/24.37 (define @t15 () (tptp.multiply tptp.identity (tptp.multiply @t14 @t14))) % 24.13/24.37 (define @t16 () (tptp.multiply @t15 @t15)) % 24.13/24.37 (define @t17 () (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply @t9 tptp.identity)) @t10)) % 24.13/24.37 (define @t18 () (tptp.multiply tptp.identity @t17)) % 24.13/24.37 (define @t19 () (tptp.multiply @t18 @t9)) % 24.13/24.37 (define @t20 () (tptp.multiply tptp.identity @t19)) % 24.13/24.37 (define @t21 () (tptp.multiply @t20 @t14)) % 24.13/24.37 (define @t22 () (tptp.multiply tptp.c tptp.identity)) % 24.13/24.37 (define @t23 () (tptp.multiply tptp.c tptp.c)) % 24.13/24.37 (define @t24 () (tptp.multiply @t22 tptp.identity)) % 24.13/24.37 (define @t25 () (tptp.multiply tptp.c @t24)) % 24.13/24.37 (define @t26 () (tptp.multiply @t25 @t10)) % 24.13/24.37 (define @t27 () (tptp.multiply tptp.c @t26)) % 24.13/24.37 (define @t28 () (tptp.multiply @t27 (tptp.multiply tptp.identity (tptp.multiply @t10 @t10)))) % 24.13/24.37 (define @t29 () (tptp.multiply @t27 tptp.identity)) % 24.13/24.37 (define @t30 () (tptp.multiply tptp.c @t29)) % 24.13/24.37 (define @t31 () (tptp.multiply @t30 @t10)) % 24.13/24.37 (define @t32 () (tptp.multiply @t9 tptp.c)) % 24.13/24.37 (define @t33 () (tptp.multiply tptp.identity @t32)) % 24.13/24.37 (define @t34 () (tptp.multiply (tptp.multiply tptp.identity @t12) @t10)) % 24.13/24.37 (define @t35 () (tptp.multiply tptp.identity @t34)) % 24.13/24.37 (define @t36 () (tptp.multiply @t35 tptp.identity)) % 24.13/24.37 (define @t37 () (tptp.multiply tptp.identity @t36)) % 24.13/24.37 (define @t38 () (tptp.multiply @t37 @t10)) % 24.13/24.37 (define @t39 () (tptp.multiply tptp.identity @t23)) % 24.13/24.37 (define @t40 () (tptp.multiply @t39 @t39)) % 24.13/24.37 (define @t41 () (tptp.multiply tptp.identity @t40)) % 24.13/24.37 (define @t42 () (tptp.multiply @t41 @t10)) % 24.13/24.37 (define @t43 () (tptp.multiply tptp.identity (tptp.multiply @t9 @t39))) % 24.13/24.37 (define @t44 () (tptp.multiply tptp.identity (tptp.multiply @t32 @t32))) % 24.13/24.37 (define @t45 () (tptp.multiply @t9 @t32)) % 24.13/24.37 (define @t46 () (tptp.multiply tptp.identity @t45)) % 24.13/24.37 (define @t47 () (tptp.multiply @t46 @t44)) % 24.13/24.37 (define @t48 () (tptp.multiply @t43 @t41)) % 24.13/24.37 (define @t49 () (tptp.multiply @t22 tptp.c)) % 24.13/24.37 (define @t50 () (tptp.multiply tptp.c @t49)) % 24.13/24.37 (define @t51 () (tptp.multiply @t50 @t39)) % 24.13/24.37 (define @t52 () (tptp.multiply @t33 @t39)) % 24.13/24.37 (define @t53 () (tptp.multiply (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a @t7) @t39)) @t41)) % 24.13/24.37 (define @t54 () (tptp.multiply tptp.a @t53)) % 24.13/24.37 (define @t55 () (= @t7 @t54)) % 24.13/24.37 (define @t56 () (forall @t5 (= @t1 @t4))) % 24.13/24.37 (assume @p1 @t6) % 24.13/24.37 (assume @p2 (not (= @t7 (tptp.multiply tptp.a (tptp.multiply tptp.b tptp.c))))) % 24.13/24.37 (step @p3 :rule eq-symm :args (@t4 @t1)) % 24.13/24.37 (step @p4 :rule cong :premises (@p3) :args (@t6)) % 24.13/24.37 (step @p5 :rule eq_resolve :premises (@p1 @p4)) % 24.13/24.37 (step @p6 :rule false_intro :premises (@p2)) % 24.13/24.37 (step @p7 :rule refl :args (tptp.c)) % 24.13/24.37 (step @p8 :rule instantiate :premises (@p5) :args ((@list tptp.b tptp.b tptp.b))) % 24.13/24.37 (step @p9 :rule symm :premises (@p8)) % 24.13/24.37 (step @p10 :rule cong :premises (@p9 @p7) :args ((tptp.multiply (tptp.multiply tptp.b (tptp.multiply (tptp.multiply tptp.b (tptp.multiply @t8 tptp.b)) (tptp.multiply tptp.identity @t8))) tptp.c))) % 24.13/24.37 (step @p11 :rule instantiate :premises (@p5) :args ((@list tptp.identity tptp.c tptp.identity))) % 24.13/24.37 (step @p12 :rule symm :premises (@p11)) % 24.13/24.37 (step @p13 :rule refl :args (@t10)) % 24.13/24.37 (step @p14 :rule instantiate :premises (@p5) :args ((@list tptp.identity @t12 @t10))) % 24.13/24.37 (step @p15 :rule symm :premises (@p14)) % 24.13/24.37 (step @p16 :rule instantiate :premises (@p5) :args ((@list tptp.identity tptp.identity @t9))) % 24.13/24.37 (step @p17 :rule symm :premises (@p16)) % 24.13/24.37 (step @p18 :rule cong :premises (@p17 @p17) :args (@t16)) % 24.13/24.37 (step @p19 :rule refl :args (tptp.identity)) % 24.13/24.37 (step @p20 :rule cong :premises (@p19 @p18) :args ((tptp.multiply tptp.identity @t16))) % 24.13/24.37 (step @p21 :rule symm :premises (@p18)) % 24.13/24.37 (step @p22 :rule refl :args (@t14)) % 24.13/24.37 (step @p23 :rule instantiate :premises (@p5) :args ((@list tptp.identity @t13 @t14))) % 24.13/24.37 (step @p24 :rule symm :premises (@p23)) % 24.13/24.37 (step @p25 :rule symm :premises (@p20)) % 24.13/24.37 (step @p26 :rule refl :args (@t9)) % 24.13/24.37 (step @p27 :rule instantiate :premises (@p5) :args ((@list tptp.identity tptp.identity tptp.identity))) % 24.13/24.37 (step @p28 :rule symm :premises (@p27)) % 24.13/24.37 (step @p29 :rule cong :premises (@p28 @p26) :args (@t19)) % 24.13/24.37 (step @p30 :rule trans :premises (@p29 @p25 @p24)) % 24.13/24.37 (step @p31 :rule cong :premises (@p19 @p30) :args (@t20)) % 24.13/24.37 (step @p32 :rule cong :premises (@p31 @p22) :args (@t21)) % 24.13/24.37 (step @p33 :rule cong :premises (@p19 @p32) :args ((tptp.multiply tptp.identity @t21))) % 24.13/24.37 (step @p34 :rule instantiate :premises (@p5) :args ((@list tptp.identity @t17 @t9))) % 24.13/24.37 (step @p35 :rule trans :premises (@p34 @p33 @p17)) % 24.13/24.37 (step @p36 :rule cong :premises (@p19 @p35) :args (@t18)) % 24.13/24.37 (step @p37 :rule trans :premises (@p27 @p36 @p21)) % 24.13/24.37 (step @p38 :rule cong :premises (@p19 @p37) :args (@t9)) % 24.13/24.37 (step @p39 :rule trans :premises (@p27 @p36 @p38 @p20)) % 24.13/24.37 (step @p40 :rule cong :premises (@p39 @p39) :args (@t9)) % 24.13/24.37 (step @p41 :rule trans :premises (@p27 @p36 @p40)) % 24.13/24.37 (step @p42 :rule cong :premises (@p19 @p41) :args (@t9)) % 24.13/24.37 (step @p43 :rule trans :premises (@p27 @p36 @p42)) % 24.13/24.37 (step @p44 :rule cong :premises (@p11 @p43) :args (@t22)) % 24.13/24.37 (step @p45 :rule instantiate :premises (@p5) :args ((@list tptp.c (tptp.multiply @t23 tptp.identity) @t10))) % 24.13/24.37 (step @p46 :rule symm :premises (@p45)) % 24.13/24.37 (step @p47 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.c tptp.identity))) % 24.13/24.37 (step @p48 :rule cong :premises (@p47 @p43) :args (@t22)) % 24.13/24.37 (step @p49 :rule symm :premises (@p36)) % 24.13/24.37 (step @p50 :rule symm :premises (@p43)) % 24.13/24.37 (step @p51 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.identity tptp.identity))) % 24.13/24.37 (step @p52 :rule symm :premises (@p51)) % 24.13/24.37 (step @p53 :rule cong :premises (@p52 @p50) :args (@t28)) % 24.13/24.37 (step @p54 :rule trans :premises (@p53 @p49 @p28)) % 24.13/24.37 (step @p55 :rule cong :premises (@p7 @p54) :args ((tptp.multiply tptp.c @t28))) % 24.13/24.37 (step @p56 :rule instantiate :premises (@p5) :args ((@list tptp.c @t24 @t10))) % 24.13/24.37 (step @p57 :rule trans :premises (@p56 @p55 @p48)) % 24.13/24.37 (step @p58 :rule cong :premises (@p7 @p57) :args (@t25)) % 24.13/24.37 (step @p59 :rule symm :premises (@p39)) % 24.13/24.37 (step @p60 :rule cong :premises (@p52 @p19) :args (@t29)) % 24.13/24.37 (step @p61 :rule trans :premises (@p60 @p49 @p28)) % 24.13/24.37 (step @p62 :rule cong :premises (@p7 @p61) :args (@t30)) % 24.13/24.37 (step @p63 :rule cong :premises (@p62 @p59) :args (@t31)) % 24.13/24.37 (step @p64 :rule cong :premises (@p7 @p63) :args ((tptp.multiply tptp.c @t31))) % 24.13/24.37 (step @p65 :rule instantiate :premises (@p5) :args ((@list tptp.c @t26 tptp.identity))) % 24.13/24.37 (step @p66 :rule trans :premises (@p65 @p64 @p58 @p46)) % 24.13/24.37 (step @p67 :rule cong :premises (@p7 @p66) :args (@t27)) % 24.13/24.37 (step @p68 :rule trans :premises (@p51 @p67)) % 24.13/24.37 (step @p69 :rule cong :premises (@p68 @p39) :args (@t9)) % 24.13/24.37 (step @p70 :rule trans :premises (@p27 @p36 @p69)) % 24.13/24.37 (step @p71 :rule cong :premises (@p7 @p70) :args (@t22)) % 24.13/24.37 (step @p72 :rule symm :premises (@p71)) % 24.13/24.37 (step @p73 :rule trans :premises (@p47 @p72 @p44)) % 24.13/24.37 (step @p74 :rule cong :premises (@p19 @p73) :args (@t11)) % 24.13/24.37 (step @p75 :rule trans :premises (@p49 @p28)) % 24.13/24.37 (step @p76 :rule cong :premises (@p75 @p7) :args (@t32)) % 24.13/24.37 (step @p77 :rule trans :premises (@p76 @p74 @p15)) % 24.13/24.37 (step @p78 :rule cong :premises (@p19 @p77) :args (@t33)) % 24.13/24.37 (step @p79 :rule symm :premises (@p76)) % 24.13/24.37 (step @p80 :rule symm :premises (@p74)) % 24.13/24.37 (step @p81 :rule symm :premises (@p47)) % 24.13/24.37 (step @p82 :rule cong :premises (@p12 @p19) :args (@t36)) % 24.13/24.37 (step @p83 :rule trans :premises (@p82 @p71 @p81)) % 24.13/24.37 (step @p84 :rule cong :premises (@p19 @p83) :args (@t37)) % 24.13/24.37 (step @p85 :rule cong :premises (@p84 @p59) :args (@t38)) % 24.13/24.37 (step @p86 :rule trans :premises (@p85 @p14 @p80 @p79)) % 24.13/24.37 (step @p87 :rule cong :premises (@p19 @p86) :args ((tptp.multiply tptp.identity @t38))) % 24.13/24.37 (step @p88 :rule instantiate :premises (@p5) :args ((@list tptp.identity @t34 tptp.identity))) % 24.13/24.37 (step @p89 :rule instantiate :premises (@p5) :args ((@list tptp.identity @t34 tptp.c))) % 24.13/24.37 (step @p90 :rule symm :premises (@p89)) % 24.13/24.37 (step @p91 :rule refl :args (@t39)) % 24.13/24.37 (step @p92 :rule trans :premises (@p56 @p55 @p71 @p81)) % 24.13/24.37 (step @p93 :rule cong :premises (@p11 @p92) :args (@t25)) % 24.13/24.37 (step @p94 :rule symm :premises (@p92)) % 24.13/24.37 (step @p95 :rule cong :premises (@p7 @p94) :args (@t23)) % 24.13/24.37 (step @p96 :rule trans :premises (@p95 @p93)) % 24.13/24.37 (step @p97 :rule cong :premises (@p19 @p96) :args (@t39)) % 24.13/24.37 (step @p98 :rule cong :premises (@p97 @p91) :args (@t40)) % 24.13/24.37 (step @p99 :rule cong :premises (@p19 @p98) :args (@t41)) % 24.13/24.37 (step @p100 :rule trans :premises (@p99 @p90 @p88 @p87 @p78)) % 24.13/24.37 (step @p101 :rule cong :premises (@p100 @p13) :args (@t42)) % 24.13/24.37 (step @p102 :rule cong :premises (@p19 @p101) :args ((tptp.multiply tptp.identity @t42))) % 24.13/24.37 (step @p103 :rule symm :premises (@p101)) % 24.13/24.37 (step @p104 :rule instantiate :premises (@p5) :args ((@list @t43 @t41 @t32))) % 24.13/24.37 (step @p105 :rule symm :premises (@p104)) % 24.13/24.37 (step @p106 :rule instantiate :premises (@p5) :args ((@list tptp.c @t44 tptp.identity))) % 24.13/24.37 (step @p107 :rule symm :premises (@p106)) % 24.13/24.37 (step @p108 :rule refl :args (@t44)) % 24.13/24.37 (step @p109 :rule trans :premises (@p47 @p72)) % 24.13/24.37 (step @p110 :rule symm :premises (@p109)) % 24.13/24.37 (step @p111 :rule symm :premises (@p88)) % 24.13/24.37 (step @p112 :rule symm :premises (@p87)) % 24.13/24.37 (step @p113 :rule refl :args (@t32)) % 24.13/24.37 (step @p114 :rule cong :premises (@p75 @p113) :args (@t45)) % 24.13/24.37 (step @p115 :rule trans :premises (@p114 @p112 @p111)) % 24.13/24.37 (step @p116 :rule cong :premises (@p19 @p115) :args (@t46)) % 24.13/24.37 (step @p117 :rule trans :premises (@p116 @p12 @p47 @p72)) % 24.13/24.37 (step @p118 :rule trans :premises (@p117 @p110)) % 24.13/24.37 (step @p119 :rule cong :premises (@p118 @p108) :args (@t47)) % 24.13/24.37 (step @p120 :rule instantiate :premises (@p5) :args ((@list tptp.identity @t47 tptp.identity))) % 24.13/24.37 (step @p121 :rule symm :premises (@p120)) % 24.13/24.37 (step @p122 :rule instantiate :premises (@p5) :args ((@list tptp.identity tptp.identity @t32))) % 24.13/24.37 (step @p123 :rule cong :premises (@p122 @p19) :args (@t9)) % 24.13/24.37 (step @p124 :rule trans :premises (@p27 @p36 @p123)) % 24.13/24.37 (step @p125 :rule cong :premises (@p19 @p124) :args (@t9)) % 24.13/24.37 (step @p126 :rule trans :premises (@p27 @p36 @p125)) % 24.13/24.37 (step @p127 :rule cong :premises (@p126 @p39) :args (@t9)) % 24.13/24.37 (step @p128 :rule trans :premises (@p27 @p36 @p127)) % 24.13/24.37 (step @p129 :rule cong :premises (@p19 @p128) :args (@t9)) % 24.13/24.37 (step @p130 :rule trans :premises (@p27 @p36 @p129 @p121 @p119)) % 24.13/24.37 (step @p131 :rule cong :premises (@p130 @p19) :args (@t9)) % 24.13/24.37 (step @p132 :rule trans :premises (@p27 @p36 @p131)) % 24.13/24.37 (step @p133 :rule cong :premises (@p7 @p132) :args (@t22)) % 24.13/24.37 (step @p134 :rule trans :premises (@p109 @p133)) % 24.13/24.37 (step @p135 :rule cong :premises (@p134 @p39) :args (@t22)) % 24.13/24.37 (step @p136 :rule trans :premises (@p56 @p55 @p135)) % 24.13/24.37 (step @p137 :rule cong :premises (@p7 @p136) :args (@t25)) % 24.13/24.37 (step @p138 :rule trans :premises (@p95 @p137 @p107)) % 24.13/24.37 (step @p139 :rule instantiate :premises (@p5) :args ((@list tptp.identity @t48 tptp.identity))) % 24.13/24.37 (step @p140 :rule symm :premises (@p139)) % 24.13/24.37 (step @p141 :rule instantiate :premises (@p5) :args ((@list tptp.identity tptp.identity @t39))) % 24.13/24.37 (step @p142 :rule cong :premises (@p141 @p19) :args (@t9)) % 24.13/24.37 (step @p143 :rule trans :premises (@p27 @p36 @p142)) % 24.13/24.37 (step @p144 :rule cong :premises (@p19 @p143) :args (@t9)) % 24.13/24.37 (step @p145 :rule trans :premises (@p27 @p36 @p144)) % 24.13/24.37 (step @p146 :rule cong :premises (@p145 @p39) :args (@t9)) % 24.13/24.37 (step @p147 :rule trans :premises (@p27 @p36 @p146)) % 24.13/24.37 (step @p148 :rule cong :premises (@p19 @p147) :args (@t9)) % 24.13/24.37 (step @p149 :rule trans :premises (@p27 @p36 @p148 @p140)) % 24.13/24.37 (step @p150 :rule cong :premises (@p149 @p113) :args (@t33)) % 24.13/24.37 (step @p151 :rule trans :premises (@p99 @p90 @p88 @p87 @p150)) % 24.13/24.37 (step @p152 :rule refl :args (@t43)) % 24.13/24.37 (step @p153 :rule cong :premises (@p152 @p151) :args (@t48)) % 24.13/24.37 (step @p154 :rule trans :premises (@p27 @p36 @p148 @p140 @p153)) % 24.13/24.37 (step @p155 :rule cong :premises (@p154 @p138) :args (@t39)) % 24.13/24.37 (step @p156 :rule symm :premises (@p75)) % 24.13/24.37 (step @p157 :rule symm :premises (@p65)) % 24.13/24.37 (step @p158 :rule symm :premises (@p64)) % 24.13/24.37 (step @p159 :rule cong :premises (@p110 @p94) :args (@t49)) % 24.13/24.37 (step @p160 :rule trans :premises (@p159 @p158 @p157)) % 24.13/24.37 (step @p161 :rule cong :premises (@p7 @p160) :args (@t50)) % 24.13/24.37 (step @p162 :rule trans :premises (@p161 @p52)) % 24.13/24.37 (step @p163 :rule trans :premises (@p162 @p156)) % 24.13/24.37 (step @p164 :rule cong :premises (@p163 @p91) :args (@t51)) % 24.13/24.37 (step @p165 :rule instantiate :premises (@p5) :args ((@list tptp.c @t51 tptp.identity))) % 24.13/24.37 (step @p166 :rule symm :premises (@p165)) % 24.13/24.37 (step @p167 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.identity tptp.c))) % 24.13/24.37 (step @p168 :rule cong :premises (@p167 @p19) :args (@t9)) % 24.13/24.37 (step @p169 :rule trans :premises (@p27 @p36 @p168)) % 24.13/24.37 (step @p170 :rule cong :premises (@p7 @p169) :args (@t22)) % 24.13/24.37 (step @p171 :rule cong :premises (@p170 @p39) :args (@t24)) % 24.13/24.37 (step @p172 :rule cong :premises (@p7 @p171) :args (@t25)) % 24.13/24.37 (step @p173 :rule trans :premises (@p95 @p172 @p166 @p164)) % 24.13/24.37 (step @p174 :rule cong :premises (@p19 @p173) :args (@t39)) % 24.13/24.37 (step @p175 :rule cong :premises (@p174 @p155) :args (@t40)) % 24.13/24.37 (step @p176 :rule instantiate :premises (@p5) :args ((@list tptp.identity @t40 @t39))) % 24.13/24.37 (step @p177 :rule symm :premises (@p176)) % 24.13/24.37 (step @p178 :rule symm :premises (@p99)) % 24.13/24.37 (step @p179 :rule trans :premises (@p89 @p178)) % 24.13/24.37 (step @p180 :rule symm :premises (@p100)) % 24.13/24.37 (step @p181 :rule trans :premises (@p78 @p180)) % 24.13/24.37 (step @p182 :rule cong :premises (@p181 @p91) :args (@t52)) % 24.13/24.37 (step @p183 :rule instantiate :premises (@p5) :args ((@list tptp.identity @t52 @t9))) % 24.13/24.37 (step @p184 :rule symm :premises (@p183)) % 24.13/24.37 (step @p185 :rule instantiate :premises (@p5) :args ((@list tptp.identity tptp.identity tptp.c))) % 24.13/24.37 (step @p186 :rule cong :premises (@p185 @p26) :args (@t10)) % 24.13/24.37 (step @p187 :rule trans :premises (@p23 @p20 @p186)) % 24.13/24.37 (step @p188 :rule cong :premises (@p19 @p187) :args (@t14)) % 24.13/24.37 (step @p189 :rule trans :premises (@p31 @p188)) % 24.13/24.37 (step @p190 :rule cong :premises (@p189 @p22) :args (@t21)) % 24.13/24.37 (step @p191 :rule symm :premises (@p32)) % 24.13/24.37 (step @p192 :rule trans :premises (@p191 @p190)) % 24.13/24.37 (step @p193 :rule cong :premises (@p19 @p192) :args (@t15)) % 24.13/24.37 (step @p194 :rule trans :premises (@p16 @p193 @p184 @p182)) % 24.13/24.37 (step @p195 :rule cong :premises (@p19 @p194) :args (@t9)) % 24.13/24.37 (step @p196 :rule trans :premises (@p27 @p36 @p195)) % 24.13/24.37 (step @p197 :rule cong :premises (@p196 @p179) :args (@t35)) % 24.13/24.37 (step @p198 :rule trans :premises (@p11 @p197)) % 24.13/24.37 (step @p199 :rule cong :premises (@p19 @p198) :args (@t11)) % 24.13/24.37 (step @p200 :rule trans :premises (@p76 @p199 @p177 @p175 @p105 @p99 @p90 @p103)) % 24.13/24.37 (step @p201 :rule cong :premises (@p19 @p200) :args (@t33)) % 24.13/24.37 (step @p202 :rule trans :premises (@p99 @p90 @p88 @p87 @p201 @p102 @p12)) % 24.13/24.37 (step @p203 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.b tptp.c))) % 24.13/24.37 (step @p204 :rule symm :premises (@p203)) % 24.13/24.37 (step @p205 :rule trans :premises (@p204 @p8)) % 24.13/24.37 (step @p206 :rule cong :premises (@p205 @p202) :args (@t53)) % 24.13/24.37 (step @p207 :rule trans :premises (@p206 @p10)) % 24.13/24.37 (step @p208 :rule refl :args (tptp.a)) % 24.13/24.37 (step @p209 :rule cong :premises (@p208 @p207) :args (@t54)) % 24.13/24.37 (step @p210 :rule refl :args (@t7)) % 24.13/24.37 (step @p211 :rule cong :premises (@p210 @p209) :args (@t55)) % 24.13/24.37 (step @p212 :rule trans :premises (@p211 @p6)) % 24.13/24.37 (step @p213 :rule false_elim :premises (@p212)) % 24.13/24.37 (assume-push @p220 @t56) % 24.13/24.37 (step @p215 :rule instantiate :premises (@p5) :args ((@list tptp.a @t7 @t39))) % 24.13/24.37 (step-pop @p221 :rule scope :premises (@p215)) % 24.13/24.37 (step @p216 :rule process_scope :premises (@p221) :args (@t55)) % 24.13/24.37 (step @p218 :rule implies_elim :premises (@p216)) % 24.13/24.37 (step @p219 false :rule chain_m_resolution :premises (@p218 @p213 @p5) :args (false (@list true false) (@list @t55 @t56))) % 24.13/24.37 ) % 24.13/24.37 % SZS output end Proof % 24.13/24.37 % cvc5 exiting %------------------------------------------------------------------------------