%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP777-10 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:21:29 AM UTC 2026 % Result : Unsatisfiable 158.96s 159.24s % Output : Proof 158.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP777-10 : TPTP v9.2.1. Released v8.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n007.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 02:03:41 EDT 2026 % 0.18/0.34 % 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... % 15.85/16.03 --- Run --no-e-matching --full-saturate-quant at 6... % 21.84/22.05 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.85/28.07 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.96/34.19 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.10/64.35 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.20/79.44 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.27/112.59 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.36/127.68 --- Run --prenex-quant=none --full-saturate-quant at 30... % 127.48/157.81 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 158.96/159.24 % SZS status Unsatisfiable % 158.96/159.24 % SZS output start Proof % 158.96/159.25 ( % 158.96/159.25 (declare-sort $$unsorted 0) % 158.96/159.25 (declare-const tptp.c $$unsorted) % 158.96/159.25 (declare-const tptp.a $$unsorted) % 158.96/159.25 (declare-const tptp.b $$unsorted) % 158.96/159.25 (declare-const tptp.bigC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 158.96/159.25 (declare-const tptp.quotient (-> $$unsorted $$unsorted $$unsorted)) % 158.96/159.25 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 158.96/159.25 (declare-const tptp.x0 $$unsorted) % 158.96/159.25 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted)) % 158.96/159.25 (define @t1 () (@var "B" $$unsorted)) % 158.96/159.25 (define @t2 () (@var "A" $$unsorted)) % 158.96/159.25 (define @t3 () (tptp.product @t2 @t1)) % 158.96/159.25 (define @t4 () (tptp.difference @t2 @t3)) % 158.96/159.25 (define @t5 () (@list @t2 @t1)) % 158.96/159.25 (define @t6 () (forall @t5 (= @t4 @t1))) % 158.96/159.25 (define @t7 () (tptp.quotient @t3 @t1)) % 158.96/159.25 (define @t8 () (forall @t5 (= @t7 @t2))) % 158.96/159.25 (define @t9 () (tptp.product (tptp.quotient @t2 @t1) @t1)) % 158.96/159.25 (define @t10 () (forall @t5 (= @t9 @t2))) % 158.96/159.25 (define @t11 () (@var "D" $$unsorted)) % 158.96/159.25 (define @t12 () (@var "C" $$unsorted)) % 158.96/159.25 (define @t13 () (forall (@list @t2 @t1 @t12 @t11) (= (tptp.product @t3 (tptp.product @t12 @t11)) (tptp.product (tptp.product @t2 @t12) (tptp.product @t1 @t11))))) % 158.96/159.25 (define @t14 () (tptp.product @t2 @t2)) % 158.96/159.25 (define @t15 () (forall (@list @t2) (= @t14 @t2))) % 158.96/159.25 (define @t16 () (tptp.product (tptp.product @t3 @t1) (tptp.product @t1 (tptp.product @t1 @t2)))) % 158.96/159.25 (define @t17 () (forall @t5 (= @t16 @t1))) % 158.96/159.25 (define @t18 () (tptp.product tptp.a tptp.b)) % 158.96/159.25 (define @t19 () (tptp.product tptp.c tptp.b)) % 158.96/159.25 (define @t20 () (tptp.product tptp.a tptp.c)) % 158.96/159.25 (define @t21 () (tptp.product @t20 @t19)) % 158.96/159.25 (define @t22 () (tptp.product tptp.c tptp.x0)) % 158.96/159.25 (define @t23 () (tptp.product tptp.c tptp.a)) % 158.96/159.25 (define @t24 () (tptp.product tptp.c @t23)) % 158.96/159.25 (define @t25 () (tptp.product @t20 tptp.c)) % 158.96/159.25 (define @t26 () (tptp.product @t25 @t24)) % 158.96/159.25 (define @t27 () (tptp.product tptp.x0 @t24)) % 158.96/159.25 (define @t28 () (tptp.product @t24 @t25)) % 158.96/159.25 (define @t29 () (tptp.product tptp.c tptp.c)) % 158.96/159.25 (define @t30 () (tptp.product @t23 tptp.c)) % 158.96/159.25 (define @t31 () (tptp.product @t23 @t29)) % 158.96/159.25 (define @t32 () (tptp.product @t29 @t20)) % 158.96/159.25 (define @t33 () (tptp.product tptp.a tptp.a)) % 158.96/159.25 (define @t34 () (tptp.product @t20 @t20)) % 158.96/159.25 (define @t35 () (tptp.product @t23 @t23)) % 158.96/159.25 (define @t36 () (tptp.quotient @t33 tptp.c)) % 158.96/159.25 (define @t37 () (tptp.product @t36 tptp.c)) % 158.96/159.25 (define @t38 () (tptp.product (tptp.product (tptp.product @t36 @t23) @t24) @t24)) % 158.96/159.25 (define @t39 () (tptp.product tptp.a @t23)) % 158.96/159.25 (define @t40 () (tptp.product tptp.a @t20)) % 158.96/159.25 (define @t41 () (tptp.product @t20 @t24)) % 158.96/159.25 (define @t42 () (tptp.product @t41 @t27)) % 158.96/159.25 (define @t43 () (tptp.product tptp.x0 tptp.a)) % 158.96/159.25 (define @t44 () (tptp.product @t19 tptp.a)) % 158.96/159.25 (define @t45 () (tptp.product tptp.b tptp.b)) % 158.96/159.25 (define @t46 () (tptp.product @t36 tptp.b)) % 158.96/159.25 (define @t47 () (tptp.product tptp.b tptp.c)) % 158.96/159.25 (define @t48 () (tptp.product @t19 @t18)) % 158.96/159.25 (define @t49 () (tptp.product tptp.a @t19)) % 158.96/159.25 (define @t50 () (tptp.product @t19 @t19)) % 158.96/159.25 (define @t51 () (tptp.product tptp.c @t19)) % 158.96/159.25 (define @t52 () (tptp.product @t36 @t19)) % 158.96/159.25 (define @t53 () (tptp.product tptp.b @t19)) % 158.96/159.25 (define @t54 () (tptp.quotient @t29 tptp.a)) % 158.96/159.25 (define @t55 () (tptp.product @t54 tptp.b)) % 158.96/159.25 (define @t56 () (tptp.product @t54 @t20)) % 158.96/159.25 (define @t57 () (tptp.product @t54 @t36)) % 158.96/159.25 (define @t58 () (tptp.product @t20 tptp.x0)) % 158.96/159.25 (define @t59 () (tptp.product @t58 (tptp.product @t24 @t24))) % 158.96/159.25 (define @t60 () (= @t59 @t42)) % 158.96/159.25 (assume @p1 @t6) % 158.96/159.25 (assume @p2 (forall @t5 (= (tptp.product @t2 (tptp.difference @t2 @t1)) @t1))) % 158.96/159.25 (assume @p3 @t8) % 158.96/159.25 (assume @p4 @t10) % 158.96/159.25 (assume @p5 @t13) % 158.96/159.25 (assume @p6 @t15) % 158.96/159.25 (assume @p7 @t17) % 158.96/159.25 (assume @p8 (forall (@list @t2 @t1 @t12) (= (tptp.bigC @t2 @t1 @t12) (tptp.product @t3 (tptp.product @t12 @t2))))) % 158.96/159.25 (assume @p9 (= @t21 @t18)) % 158.96/159.25 (assume @p10 (not (= (tptp.bigC tptp.a tptp.b tptp.x0) (tptp.bigC tptp.c tptp.c tptp.x0)))) % 158.96/159.25 (step @p11 :rule false_intro :premises (@p10)) % 158.96/159.25 (step @p12 :rule instantiate :premises (@p8) :args ((@list tptp.c tptp.c tptp.x0))) % 158.96/159.25 (step @p13 :rule symm :premises (@p12)) % 158.96/159.25 (step @p14 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.c tptp.x0 tptp.c))) % 158.96/159.25 (step @p15 :rule symm :premises (@p14)) % 158.96/159.25 (step @p16 :rule eq-symm :args (@t14 @t2)) % 158.96/159.25 (step @p17 :rule cong :premises (@p16) :args (@t15)) % 158.96/159.25 (step @p18 :rule eq_resolve :premises (@p6 @p17)) % 158.96/159.25 (step @p19 :rule instantiate :premises (@p18) :args ((@list tptp.c))) % 158.96/159.25 (step @p20 :rule eq-symm :args (@t16 @t1)) % 158.96/159.25 (step @p21 :rule cong :premises (@p20) :args (@t17)) % 158.96/159.25 (step @p22 :rule eq_resolve :premises (@p7 @p21)) % 158.96/159.25 (step @p23 :rule instantiate :premises (@p22) :args ((@list tptp.a tptp.c))) % 158.96/159.25 (step @p24 :rule symm :premises (@p23)) % 158.96/159.25 (step @p25 :rule trans :premises (@p24 @p19)) % 158.96/159.25 (step @p26 :rule refl :args (@t22)) % 158.96/159.25 (step @p27 :rule cong :premises (@p26 @p25) :args ((tptp.product @t22 @t26))) % 158.96/159.25 (step @p28 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.x0 @t25 @t24))) % 158.96/159.25 (step @p29 :rule symm :premises (@p28)) % 158.96/159.25 (step @p30 :rule refl :args (@t27)) % 158.96/159.25 (step @p31 :rule instantiate :premises (@p18) :args ((@list @t25))) % 158.96/159.25 (step @p32 :rule symm :premises (@p31)) % 158.96/159.25 (step @p33 :rule cong :premises (@p24 @p32) :args ((tptp.product @t26 (tptp.product @t25 @t25)))) % 158.96/159.25 (step @p34 :rule instantiate :premises (@p5) :args ((@list @t25 @t24 @t25 @t25))) % 158.96/159.25 (step @p35 :rule symm :premises (@p34)) % 158.96/159.25 (step @p36 :rule refl :args (@t20)) % 158.96/159.25 (step @p37 :rule cong :premises (@p36 @p19) :args (@t25)) % 158.96/159.25 (step @p38 :rule refl :args (@t23)) % 158.96/159.25 (step @p39 :rule cong :premises (@p19 @p38) :args (@t24)) % 158.96/159.25 (step @p40 :rule cong :premises (@p39 @p37) :args (@t28)) % 158.96/159.25 (step @p41 :rule symm :premises (@p40)) % 158.96/159.25 (step @p42 :rule instantiate :premises (@p5) :args ((@list @t29 @t20 @t23 @t29))) % 158.96/159.25 (step @p43 :rule cong :premises (@p38 @p19) :args (@t30)) % 158.96/159.25 (step @p44 :rule symm :premises (@p43)) % 158.96/159.25 (step @p45 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.a tptp.c tptp.c))) % 158.96/159.25 (step @p46 :rule symm :premises (@p45)) % 158.96/159.25 (step @p47 :rule trans :premises (@p46 @p44)) % 158.96/159.25 (step @p48 :rule cong :premises (@p47 @p44) :args ((tptp.product @t32 @t31))) % 158.96/159.25 (step @p49 :rule symm :premises (@p48)) % 158.96/159.25 (step @p50 :rule symm :premises (@p19)) % 158.96/159.25 (step @p51 :rule cong :premises (@p50 @p36) :args (@t32)) % 158.96/159.25 (step @p52 :rule trans :premises (@p43 @p45 @p51)) % 158.96/159.25 (step @p53 :rule cong :premises (@p52 @p52) :args ((tptp.product @t30 @t30))) % 158.96/159.25 (step @p54 :rule symm :premises (@p53)) % 158.96/159.25 (step @p55 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.c @t20 @t20))) % 158.96/159.25 (step @p56 :rule instantiate :premises (@p18) :args ((@list tptp.a))) % 158.96/159.25 (step @p57 :rule symm :premises (@p56)) % 158.96/159.25 (step @p58 :rule cong :premises (@p57 @p50) :args ((tptp.product @t33 @t29))) % 158.96/159.25 (step @p59 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.a tptp.c tptp.c))) % 158.96/159.25 (step @p60 :rule symm :premises (@p59)) % 158.96/159.25 (step @p61 :rule trans :premises (@p60 @p58)) % 158.96/159.25 (step @p62 :rule refl :args (@t29)) % 158.96/159.25 (step @p63 :rule cong :premises (@p62 @p61) :args ((tptp.product @t29 @t34))) % 158.96/159.25 (step @p64 :rule symm :premises (@p63)) % 158.96/159.25 (step @p65 :rule trans :premises (@p43 @p45 @p64 @p55 @p54 @p49 @p42 @p41)) % 158.96/159.25 (step @p66 :rule cong :premises (@p31 @p65) :args ((tptp.product @t25 @t30))) % 158.96/159.25 (step @p67 :rule refl :args (@t25)) % 158.96/159.25 (step @p68 :rule cong :premises (@p67 @p44) :args ((tptp.product @t25 @t31))) % 158.96/159.25 (step @p69 :rule instantiate :premises (@p5) :args ((@list @t20 tptp.c @t23 @t29))) % 158.96/159.25 (step @p70 :rule symm :premises (@p69)) % 158.96/159.25 (step @p71 :rule refl :args (tptp.c)) % 158.96/159.25 (step @p72 :rule cong :premises (@p71 @p19) :args (@t29)) % 158.96/159.25 (step @p73 :rule trans :premises (@p19 @p72)) % 158.96/159.25 (step @p74 :rule cong :premises (@p50 @p57) :args ((tptp.product @t29 @t33))) % 158.96/159.25 (step @p75 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.c tptp.a tptp.a))) % 158.96/159.25 (step @p76 :rule symm :premises (@p75)) % 158.96/159.25 (step @p77 :rule trans :premises (@p76 @p74)) % 158.96/159.25 (step @p78 :rule cong :premises (@p36 @p77) :args ((tptp.product @t20 @t35))) % 158.96/159.25 (step @p79 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.c @t23 @t23))) % 158.96/159.25 (step @p80 :rule symm :premises (@p79)) % 158.96/159.25 (step @p81 :rule refl :args (@t24)) % 158.96/159.25 (step @p82 :rule cong :premises (@p57 @p38) :args ((tptp.product @t33 @t23))) % 158.96/159.25 (step @p83 :rule eq-symm :args (@t9 @t2)) % 158.96/159.25 (step @p84 :rule cong :premises (@p83) :args (@t10)) % 158.96/159.25 (step @p85 :rule eq_resolve :premises (@p4 @p84)) % 158.96/159.25 (step @p86 :rule instantiate :premises (@p85) :args ((@list @t33 tptp.c))) % 158.96/159.25 (step @p87 :rule symm :premises (@p86)) % 158.96/159.25 (step @p88 :rule cong :premises (@p87 @p77) :args ((tptp.product @t37 @t35))) % 158.96/159.25 (step @p89 :rule instantiate :premises (@p5) :args ((@list @t36 tptp.c @t23 @t23))) % 158.96/159.25 (step @p90 :rule symm :premises (@p89)) % 158.96/159.25 (step @p91 :rule trans :premises (@p90 @p88 @p82)) % 158.96/159.25 (step @p92 :rule cong :premises (@p91 @p81) :args (@t38)) % 158.96/159.25 (step @p93 :rule trans :premises (@p92 @p80 @p78)) % 158.96/159.25 (step @p94 :rule cong :premises (@p93 @p73) :args ((tptp.product @t38 tptp.c))) % 158.96/159.25 (step @p95 :rule symm :premises (@p92)) % 158.96/159.25 (step @p96 :rule cong :premises (@p95 @p24) :args ((tptp.product (tptp.product @t39 @t24) @t26))) % 158.96/159.25 (step @p97 :rule instantiate :premises (@p5) :args ((@list @t39 @t24 @t25 @t24))) % 158.96/159.25 (step @p98 :rule symm :premises (@p97)) % 158.96/159.25 (step @p99 :rule instantiate :premises (@p18) :args ((@list @t24))) % 158.96/159.25 (step @p100 :rule symm :premises (@p37)) % 158.96/159.25 (step @p101 :rule refl :args (@t39)) % 158.96/159.25 (step @p102 :rule cong :premises (@p101 @p100) :args ((tptp.product @t39 (tptp.product @t20 @t29)))) % 158.96/159.25 (step @p103 :rule instantiate :premises (@p5) :args ((@list tptp.a @t20 @t23 @t29))) % 158.96/159.25 (step @p104 :rule symm :premises (@p51)) % 158.96/159.25 (step @p105 :rule trans :premises (@p104 @p46)) % 158.96/159.25 (step @p106 :rule refl :args (@t40)) % 158.96/159.25 (step @p107 :rule cong :premises (@p106 @p105) :args ((tptp.product @t40 (tptp.product tptp.c @t20)))) % 158.96/159.25 (step @p108 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.c @t20 @t20))) % 158.96/159.25 (step @p109 :rule symm :premises (@p61)) % 158.96/159.25 (step @p110 :rule cong :premises (@p36 @p109) :args (@t34)) % 158.96/159.25 (step @p111 :rule symm :premises (@p58)) % 158.96/159.25 (step @p112 :rule trans :premises (@p111 @p59 @p110 @p108 @p107 @p103 @p102)) % 158.96/159.25 (step @p113 :rule cong :premises (@p112 @p99) :args (@t41)) % 158.96/159.25 (step @p114 :rule trans :premises (@p113 @p98 @p96 @p94 @p70 @p68 @p66 @p35 @p33)) % 158.96/159.25 (step @p115 :rule cong :premises (@p114 @p30) :args (@t42)) % 158.96/159.25 (step @p116 :rule trans :premises (@p115 @p29 @p27 @p15 @p13)) % 158.96/159.25 (step @p117 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.b tptp.x0))) % 158.96/159.25 (step @p118 :rule symm :premises (@p117)) % 158.96/159.25 (step @p119 :rule refl :args (@t43)) % 158.96/159.25 (step @p120 :rule cong :premises (@p9 @p119) :args ((tptp.product @t21 @t43))) % 158.96/159.25 (step @p121 :rule instantiate :premises (@p5) :args ((@list @t20 @t19 tptp.x0 tptp.a))) % 158.96/159.25 (step @p122 :rule symm :premises (@p121)) % 158.96/159.25 (step @p123 :rule eq-symm :args (@t7 @t2)) % 158.96/159.25 (step @p124 :rule cong :premises (@p123) :args (@t8)) % 158.96/159.25 (step @p125 :rule eq_resolve :premises (@p3 @p124)) % 158.96/159.25 (step @p126 :rule instantiate :premises (@p125) :args ((@list @t44 @t25))) % 158.96/159.25 (step @p127 :rule symm :premises (@p126)) % 158.96/159.25 (step @p128 :rule instantiate :premises (@p125) :args ((@list @t20 @t19))) % 158.96/159.25 (step @p129 :rule symm :premises (@p128)) % 158.96/159.25 (step @p130 :rule refl :args (@t19)) % 158.96/159.25 (step @p131 :rule symm :premises (@p9)) % 158.96/159.25 (step @p132 :rule instantiate :premises (@p18) :args ((@list tptp.b))) % 158.96/159.25 (step @p133 :rule symm :premises (@p132)) % 158.96/159.25 (step @p134 :rule trans :premises (@p87 @p57)) % 158.96/159.25 (step @p135 :rule cong :premises (@p134 @p133) :args ((tptp.product @t37 @t45))) % 158.96/159.25 (step @p136 :rule instantiate :premises (@p5) :args ((@list @t36 tptp.c tptp.b tptp.b))) % 158.96/159.25 (step @p137 :rule symm :premises (@p136)) % 158.96/159.25 (step @p138 :rule trans :premises (@p137 @p135)) % 158.96/159.25 (step @p139 :rule trans :premises (@p138 @p131)) % 158.96/159.25 (step @p140 :rule cong :premises (@p139 @p130) :args ((tptp.quotient (tptp.product @t46 @t19) @t19))) % 158.96/159.25 (step @p141 :rule instantiate :premises (@p125) :args ((@list @t46 @t19))) % 158.96/159.25 (step @p142 :rule trans :premises (@p141 @p140 @p129)) % 158.96/159.25 (step @p143 :rule cong :premises (@p142 @p50) :args ((tptp.product @t46 @t29))) % 158.96/159.25 (step @p144 :rule instantiate :premises (@p5) :args ((@list @t36 tptp.b tptp.c tptp.c))) % 158.96/159.25 (step @p145 :rule symm :premises (@p144)) % 158.96/159.25 (step @p146 :rule refl :args (@t47)) % 158.96/159.25 (step @p147 :rule cong :premises (@p86 @p146) :args ((tptp.product @t33 @t47))) % 158.96/159.25 (step @p148 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.a tptp.b tptp.c))) % 158.96/159.25 (step @p149 :rule symm :premises (@p148)) % 158.96/159.25 (step @p150 :rule trans :premises (@p149 @p147 @p145 @p143)) % 158.96/159.25 (step @p151 :rule refl :args (@t44)) % 158.96/159.25 (step @p152 :rule cong :premises (@p151 @p150) :args ((tptp.product @t44 (tptp.product @t18 @t20)))) % 158.96/159.25 (step @p153 :rule instantiate :premises (@p5) :args ((@list @t19 @t18 tptp.a @t20))) % 158.96/159.25 (step @p154 :rule eq-symm :args (@t4 @t1)) % 158.96/159.25 (step @p155 :rule cong :premises (@p154) :args (@t6)) % 158.96/159.25 (step @p156 :rule eq_resolve :premises (@p1 @p155)) % 158.96/159.25 (step @p157 :rule instantiate :premises (@p156) :args ((@list @t49 @t48))) % 158.96/159.25 (step @p158 :rule symm :premises (@p157)) % 158.96/159.25 (step @p159 :rule refl :args (@t48)) % 158.96/159.25 (step @p160 :rule cong :premises (@p57 @p130) :args ((tptp.product @t33 @t19))) % 158.96/159.25 (step @p161 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.a tptp.c tptp.b))) % 158.96/159.25 (step @p162 :rule symm :premises (@p161)) % 158.96/159.25 (step @p163 :rule trans :premises (@p162 @p160)) % 158.96/159.25 (step @p164 :rule cong :premises (@p163 @p159) :args ((tptp.product (tptp.product @t20 @t18) @t48))) % 158.96/159.25 (step @p165 :rule instantiate :premises (@p5) :args ((@list @t20 @t19 @t18 @t18))) % 158.96/159.25 (step @p166 :rule instantiate :premises (@p18) :args ((@list @t18))) % 158.96/159.25 (step @p167 :rule cong :premises (@p131 @p166) :args ((tptp.product @t18 @t18))) % 158.96/159.25 (step @p168 :rule instantiate :premises (@p18) :args ((@list @t19))) % 158.96/159.25 (step @p169 :rule symm :premises (@p168)) % 158.96/159.25 (step @p170 :rule cong :premises (@p36 @p169) :args ((tptp.product @t20 @t50))) % 158.96/159.25 (step @p171 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.c @t19 @t19))) % 158.96/159.25 (step @p172 :rule symm :premises (@p171)) % 158.96/159.25 (step @p173 :rule trans :premises (@p172 @p170 @p9 @p166 @p167 @p165 @p164)) % 158.96/159.25 (step @p174 :rule refl :args (@t49)) % 158.96/159.25 (step @p175 :rule cong :premises (@p174 @p173) :args ((tptp.difference @t49 (tptp.product @t49 @t51)))) % 158.96/159.25 (step @p176 :rule instantiate :premises (@p156) :args ((@list @t49 @t51))) % 158.96/159.25 (step @p177 :rule trans :premises (@p176 @p175 @p158)) % 158.96/159.25 (step @p178 :rule cong :premises (@p177 @p106) :args ((tptp.product @t51 @t40))) % 158.96/159.25 (step @p179 :rule cong :premises (@p134 @p142) :args ((tptp.product @t37 @t46))) % 158.96/159.25 (step @p180 :rule instantiate :premises (@p5) :args ((@list @t36 tptp.c @t36 tptp.b))) % 158.96/159.25 (step @p181 :rule symm :premises (@p180)) % 158.96/159.25 (step @p182 :rule instantiate :premises (@p18) :args ((@list @t36))) % 158.96/159.25 (step @p183 :rule cong :premises (@p182 @p130) :args (@t52)) % 158.96/159.25 (step @p184 :rule trans :premises (@p183 @p181 @p179)) % 158.96/159.25 (step @p185 :rule instantiate :premises (@p125) :args ((@list @t51 @t53))) % 158.96/159.25 (step @p186 :rule symm :premises (@p185)) % 158.96/159.25 (step @p187 :rule refl :args (@t53)) % 158.96/159.25 (step @p188 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.b @t19 @t19))) % 158.96/159.25 (step @p189 :rule cong :premises (@p130 @p168) :args (@t50)) % 158.96/159.25 (step @p190 :rule trans :premises (@p168 @p189 @p188)) % 158.96/159.25 (step @p191 :rule instantiate :premises (@p85) :args ((@list @t29 tptp.a))) % 158.96/159.25 (step @p192 :rule symm :premises (@p191)) % 158.96/159.25 (step @p193 :rule trans :premises (@p192 @p50)) % 158.96/159.25 (step @p194 :rule cong :premises (@p193 @p133) :args ((tptp.product (tptp.product @t54 tptp.a) @t45))) % 158.96/159.25 (step @p195 :rule instantiate :premises (@p5) :args ((@list @t54 tptp.a tptp.b tptp.b))) % 158.96/159.25 (step @p196 :rule symm :premises (@p195)) % 158.96/159.25 (step @p197 :rule refl :args (@t55)) % 158.96/159.25 (step @p198 :rule cong :premises (@p197 @p9) :args ((tptp.product @t55 @t21))) % 158.96/159.25 (step @p199 :rule instantiate :premises (@p5) :args ((@list @t54 tptp.b @t20 @t19))) % 158.96/159.25 (step @p200 :rule symm :premises (@p199)) % 158.96/159.25 (step @p201 :rule trans :premises (@p200 @p198 @p196 @p194)) % 158.96/159.25 (step @p202 :rule trans :premises (@p201 @p190)) % 158.96/159.25 (step @p203 :rule cong :premises (@p202 @p187) :args ((tptp.quotient (tptp.product @t56 @t53) @t53))) % 158.96/159.25 (step @p204 :rule instantiate :premises (@p125) :args ((@list @t56 @t53))) % 158.96/159.25 (step @p205 :rule trans :premises (@p204 @p203 @p186)) % 158.96/159.25 (step @p206 :rule cong :premises (@p205 @p184) :args ((tptp.product @t56 @t52))) % 158.96/159.25 (step @p207 :rule instantiate :premises (@p5) :args ((@list @t54 @t36 @t20 @t19))) % 158.96/159.25 (step @p208 :rule refl :args (@t57)) % 158.96/159.25 (step @p209 :rule cong :premises (@p208 @p131) :args ((tptp.product @t57 @t18))) % 158.96/159.25 (step @p210 :rule instantiate :premises (@p5) :args ((@list @t54 tptp.a @t36 tptp.b))) % 158.96/159.25 (step @p211 :rule symm :premises (@p142)) % 158.96/159.25 (step @p212 :rule cong :premises (@p191 @p211) :args (@t32)) % 158.96/159.25 (step @p213 :rule trans :premises (@p212 @p210 @p209 @p207 @p206 @p178 @p153 @p152)) % 158.96/159.25 (step @p214 :rule symm :premises (@p55)) % 158.96/159.25 (step @p215 :rule symm :premises (@p42)) % 158.96/159.25 (step @p216 :rule trans :premises (@p40 @p215 @p48 @p53 @p214 @p63)) % 158.96/159.25 (step @p217 :rule trans :premises (@p216 @p213)) % 158.96/159.25 (step @p218 :rule cong :premises (@p217 @p67) :args ((tptp.quotient @t28 @t25))) % 158.96/159.25 (step @p219 :rule instantiate :premises (@p125) :args ((@list @t24 @t25))) % 158.96/159.25 (step @p220 :rule symm :premises (@p99)) % 158.96/159.25 (step @p221 :rule trans :premises (@p220 @p219 @p218 @p127)) % 158.96/159.25 (step @p222 :rule refl :args (@t58)) % 158.96/159.25 (step @p223 :rule cong :premises (@p222 @p221) :args (@t59)) % 158.96/159.25 (step @p224 :rule trans :premises (@p223 @p122 @p120 @p118)) % 158.96/159.25 (step @p225 :rule cong :premises (@p224 @p116) :args (@t60)) % 158.96/159.25 (step @p226 :rule trans :premises (@p225 @p11)) % 158.96/159.25 (step @p227 :rule false_elim :premises (@p226)) % 158.96/159.25 (assume-push @p234 @t13) % 158.96/159.25 (step @p229 :rule instantiate :premises (@p5) :args ((@list @t20 tptp.x0 @t24 @t24))) % 158.96/159.25 (step-pop @p235 :rule scope :premises (@p229)) % 158.96/159.25 (step @p230 :rule process_scope :premises (@p235) :args (@t60)) % 158.96/159.25 (step @p232 :rule implies_elim :premises (@p230)) % 158.96/159.25 (step @p233 false :rule chain_m_resolution :premises (@p232 @p227 @p5) :args (false (@list true false) (@list @t60 @t13))) % 158.96/159.25 ) % 158.96/159.25 % SZS output end Proof % 158.96/159.25 % cvc5 exiting %------------------------------------------------------------------------------