%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP068-1 : TPTP v9.2.1. Bugfixed v2.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:19:43 AM UTC 2026 % Result : Unsatisfiable 159.44s 159.67s % Output : Proof 159.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP068-1 : TPTP v9.2.1. Bugfixed v2.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.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 00:43:01 EDT 2026 % 0.17/0.34 % 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... % 15.32/15.56 --- Run --no-e-matching --full-saturate-quant at 6... % 21.33/21.58 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.33/27.60 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.54/33.70 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.52/63.75 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.53/78.77 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 78.61/111.81 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.73/126.97 --- Run --prenex-quant=none --full-saturate-quant at 30... % 126.82/157.03 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 159.44/159.67 % SZS status Unsatisfiable % 159.44/159.67 % SZS output start Proof % 159.44/159.68 ( % 159.44/159.68 (declare-sort $$unsorted 0) % 159.44/159.68 (declare-const tptp.a2 $$unsorted) % 159.44/159.68 (declare-const tptp.b3 $$unsorted) % 159.44/159.68 (declare-const tptp.c3 $$unsorted) % 159.44/159.68 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 159.44/159.68 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 159.44/159.68 (declare-const tptp.a1 $$unsorted) % 159.44/159.68 (declare-const tptp.identity $$unsorted) % 159.44/159.68 (declare-const tptp.a3 $$unsorted) % 159.44/159.68 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 159.44/159.68 (define @t1 () (@var "Y" $$unsorted)) % 159.44/159.68 (define @t2 () (@var "Z" $$unsorted)) % 159.44/159.68 (define @t3 () (@var "X" $$unsorted)) % 159.44/159.68 (define @t4 () (tptp.divide @t3 @t3)) % 159.44/159.68 (define @t5 () (tptp.divide tptp.identity @t1)) % 159.44/159.68 (define @t6 () (tptp.divide @t3 (tptp.divide (tptp.divide @t5 @t2) (tptp.divide (tptp.divide @t4 @t3) @t2)))) % 159.44/159.68 (define @t7 () (@list @t3 @t1 @t2)) % 159.44/159.68 (define @t8 () (forall @t7 (= @t6 @t1))) % 159.44/159.68 (define @t9 () (@list @t3)) % 159.44/159.68 (define @t10 () (forall @t9 (= (tptp.inverse @t3) (tptp.divide tptp.identity @t3)))) % 159.44/159.68 (define @t11 () (tptp.multiply tptp.b3 tptp.c3)) % 159.44/159.68 (define @t12 () (tptp.multiply tptp.a3 tptp.b3)) % 159.44/159.68 (define @t13 () (not (= (tptp.multiply @t12 tptp.c3) (tptp.multiply tptp.a3 @t11)))) % 159.44/159.68 (define @t14 () (tptp.multiply tptp.identity tptp.a2)) % 159.44/159.68 (define @t15 () (not (= @t14 tptp.a2))) % 159.44/159.68 (define @t16 () (tptp.inverse tptp.a1)) % 159.44/159.68 (define @t17 () (tptp.multiply @t16 tptp.a1)) % 159.44/159.68 (define @t18 () (not (= @t17 tptp.identity))) % 159.44/159.68 (define @t19 () (or @t18 @t15 @t13)) % 159.44/159.68 (define @t20 () (tptp.divide tptp.identity tptp.a2)) % 159.44/159.68 (define @t21 () (tptp.divide tptp.identity tptp.identity)) % 159.44/159.68 (define @t22 () (tptp.divide @t21 tptp.identity)) % 159.44/159.68 (define @t23 () (tptp.divide @t22 @t20)) % 159.44/159.68 (define @t24 () (tptp.divide @t22 tptp.a2)) % 159.44/159.68 (define @t25 () (tptp.divide @t21 tptp.a2)) % 159.44/159.68 (define @t26 () (tptp.divide @t25 @t24)) % 159.44/159.68 (define @t27 () (tptp.divide @t22 @t21)) % 159.44/159.68 (define @t28 () (tptp.divide @t22 tptp.b3)) % 159.44/159.68 (define @t29 () (tptp.divide (tptp.divide @t20 tptp.b3) @t28)) % 159.44/159.68 (define @t30 () (tptp.divide tptp.identity @t29)) % 159.44/159.68 (define @t31 () (tptp.divide @t30 @t21)) % 159.44/159.68 (define @t32 () (tptp.divide @t31 @t27)) % 159.44/159.68 (define @t33 () (@list tptp.a1)) % 159.44/159.68 (define @t34 () (= tptp.a2 @t14)) % 159.44/159.68 (define @t35 () (= tptp.identity @t17)) % 159.44/159.68 (define @t36 () (tptp.divide tptp.identity @t11)) % 159.44/159.68 (define @t37 () (tptp.divide tptp.identity tptp.a3)) % 159.44/159.68 (define @t38 () (tptp.divide (tptp.divide @t37 @t20) @t23)) % 159.44/159.68 (define @t39 () (tptp.divide tptp.identity @t38)) % 159.44/159.68 (define @t40 () (tptp.divide @t22 tptp.identity)) % 159.44/159.68 (define @t41 () (tptp.divide tptp.identity tptp.c3)) % 159.44/159.68 (define @t42 () (tptp.divide (tptp.divide @t41 tptp.identity) @t40)) % 159.44/159.68 (define @t43 () (tptp.divide @t22 tptp.c3)) % 159.44/159.68 (define @t44 () (tptp.divide (tptp.divide @t21 tptp.c3) @t43)) % 159.44/159.68 (define @t45 () (tptp.divide (tptp.divide tptp.identity @t44) tptp.identity)) % 159.44/159.68 (define @t46 () (tptp.divide @t45 @t40)) % 159.44/159.68 (define @t47 () (tptp.divide (tptp.divide tptp.c3 tptp.c3) tptp.c3)) % 159.44/159.68 (define @t48 () (tptp.divide @t47 @t43)) % 159.44/159.68 (define @t49 () (tptp.divide @t41 @t43)) % 159.44/159.68 (define @t50 () (tptp.divide @t49 @t48)) % 159.44/159.68 (define @t51 () (tptp.divide tptp.identity @t42)) % 159.44/159.68 (define @t52 () (tptp.divide @t22 @t41)) % 159.44/159.68 (define @t53 () (tptp.divide @t22 @t52)) % 159.44/159.68 (define @t54 () (tptp.divide tptp.identity tptp.b3)) % 159.44/159.68 (define @t55 () (tptp.divide (tptp.divide @t54 @t28) (tptp.divide (tptp.divide (tptp.divide tptp.b3 tptp.b3) tptp.b3) @t28))) % 159.44/159.68 (define @t56 () (tptp.divide (tptp.divide @t54 tptp.b3) @t28)) % 159.44/159.68 (define @t57 () (tptp.divide @t21 tptp.b3)) % 159.44/159.68 (define @t58 () (tptp.divide @t57 @t28)) % 159.44/159.68 (define @t59 () (tptp.divide tptp.b3 @t55)) % 159.44/159.68 (define @t60 () (tptp.divide @t22 @t28)) % 159.44/159.68 (define @t61 () (tptp.divide (tptp.divide (tptp.divide tptp.identity @t56) @t41) @t52)) % 159.44/159.68 (define @t62 () (tptp.divide (tptp.divide tptp.identity @t61) @t28)) % 159.44/159.68 (define @t63 () (tptp.divide @t62 @t60)) % 159.44/159.68 (define @t64 () (tptp.divide (tptp.divide @t36 tptp.a1) (tptp.divide @t22 tptp.a1))) % 159.44/159.68 (define @t65 () (tptp.divide (tptp.divide tptp.identity @t64) @t52)) % 159.44/159.68 (define @t66 () (tptp.divide @t65 @t53)) % 159.44/159.68 (define @t67 () (tptp.divide (tptp.divide @t39 @t54) (tptp.divide (tptp.divide (tptp.divide @t11 @t11) @t11) @t54))) % 159.44/159.68 (define @t68 () (tptp.divide @t21 @t11)) % 159.44/159.68 (define @t69 () (tptp.divide @t68 (tptp.divide @t22 @t11))) % 159.44/159.68 (define @t70 () (tptp.divide (tptp.divide tptp.identity @t69) tptp.identity)) % 159.44/159.68 (define @t71 () (tptp.divide @t70 @t40)) % 159.44/159.68 (define @t72 () (tptp.divide @t64 @t64)) % 159.44/159.68 (define @t73 () (tptp.divide @t72 @t64)) % 159.44/159.68 (define @t74 () (tptp.divide @t73 tptp.c3)) % 159.44/159.68 (define @t75 () (tptp.divide @t51 tptp.c3)) % 159.44/159.68 (define @t76 () (tptp.divide @t75 @t74)) % 159.44/159.68 (define @t77 () (tptp.divide (tptp.divide tptp.identity (tptp.divide (tptp.divide (tptp.divide tptp.identity @t12) tptp.a3) (tptp.divide @t22 tptp.a3))) @t41)) % 159.44/159.68 (define @t78 () (tptp.divide tptp.identity @t77)) % 159.44/159.68 (define @t79 () (tptp.divide @t22 @t77)) % 159.44/159.68 (define @t80 () (tptp.divide (tptp.divide tptp.a1 tptp.a1) tptp.a1)) % 159.44/159.68 (define @t81 () (tptp.divide @t39 tptp.identity)) % 159.44/159.68 (define @t82 () (tptp.divide @t81 (tptp.divide @t80 tptp.identity))) % 159.44/159.68 (define @t83 () (tptp.divide tptp.identity tptp.a1)) % 159.44/159.68 (define @t84 () (tptp.divide (tptp.divide @t83 tptp.identity) @t40)) % 159.44/159.68 (define @t85 () (tptp.divide tptp.a1 @t21)) % 159.44/159.68 (define @t86 () (tptp.divide @t80 @t83)) % 159.44/159.68 (define @t87 () (tptp.divide @t83 @t83)) % 159.44/159.68 (define @t88 () (tptp.divide @t87 @t86)) % 159.44/159.68 (define @t89 () (tptp.inverse @t83)) % 159.44/159.68 (define @t90 () (tptp.divide tptp.identity @t83)) % 159.44/159.68 (define @t91 () (= @t89 @t90)) % 159.44/159.68 (define @t92 () (tptp.divide @t37 tptp.a1)) % 159.44/159.68 (define @t93 () (tptp.divide (tptp.divide tptp.a3 tptp.a3) tptp.a3)) % 159.44/159.68 (define @t94 () (tptp.divide @t93 tptp.a1)) % 159.44/159.68 (define @t95 () (tptp.divide @t92 @t94)) % 159.44/159.68 (define @t96 () (tptp.divide @t93 @t79)) % 159.44/159.68 (define @t97 () (tptp.divide (tptp.divide @t21 @t77) @t79)) % 159.44/159.68 (define @t98 () (tptp.divide (tptp.divide tptp.identity @t97) tptp.identity)) % 159.44/159.68 (define @t99 () (tptp.divide @t98 @t40)) % 159.44/159.68 (define @t100 () (tptp.divide @t78 @t79)) % 159.44/159.68 (define @t101 () (tptp.divide @t100 @t96)) % 159.44/159.68 (define @t102 () (tptp.divide tptp.a3 @t101)) % 159.44/159.68 (define @t103 () (= @t77 @t102)) % 159.44/159.68 (define @t104 () (forall @t7 (= @t1 @t6))) % 159.44/159.68 (assume @p1 @t8) % 159.44/159.68 (assume @p2 (forall (@list @t3 @t1) (= (tptp.multiply @t3 @t1) (tptp.divide @t3 @t5)))) % 159.44/159.68 (assume @p3 @t10) % 159.44/159.68 (assume @p4 (forall @t9 (= tptp.identity @t4))) % 159.44/159.68 (assume @p5 @t19) % 159.44/159.68 (step @p6 :rule eq-symm :args (@t6 @t1)) % 159.44/159.68 (step @p7 :rule cong :premises (@p6) :args (@t8)) % 159.44/159.68 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 159.44/159.68 (step @p9 :rule instantiate :premises (@p2) :args ((@list tptp.identity tptp.a2))) % 159.44/159.68 (step @p10 :rule symm :premises (@p9)) % 159.44/159.68 (step @p11 :rule refl :args (@t20)) % 159.44/159.68 (step @p12 :rule instantiate :premises (@p4) :args ((@list tptp.identity))) % 159.44/159.68 (step @p13 :rule symm :premises (@p12)) % 159.44/159.68 (step @p14 :rule refl :args (tptp.identity)) % 159.44/159.68 (step @p15 :rule cong :premises (@p13 @p14) :args (@t22)) % 159.44/159.68 (step @p16 :rule trans :premises (@p15 @p13)) % 159.44/159.68 (step @p17 :rule cong :premises (@p16 @p11) :args (@t23)) % 159.44/159.68 (step @p18 :rule instantiate :premises (@p8) :args ((@list tptp.a2 tptp.a2 @t24))) % 159.44/159.68 (step @p19 :rule symm :premises (@p18)) % 159.44/159.68 (step @p20 :rule refl :args (@t24)) % 159.44/159.68 (step @p21 :rule refl :args (tptp.a2)) % 159.44/159.68 (step @p22 :rule instantiate :premises (@p4) :args ((@list tptp.a2))) % 159.44/159.68 (step @p23 :rule cong :premises (@p22 @p21) :args (@t20)) % 159.44/159.68 (step @p24 :rule cong :premises (@p13 @p21) :args (@t25)) % 159.44/159.68 (step @p25 :rule trans :premises (@p24 @p23)) % 159.44/159.68 (step @p26 :rule cong :premises (@p25 @p20) :args (@t26)) % 159.44/159.68 (step @p27 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t26 tptp.identity))) % 159.44/159.68 (step @p28 :rule symm :premises (@p27)) % 159.44/159.68 (step @p29 :rule symm :premises (@p16)) % 159.44/159.68 (step @p30 :rule cong :premises (@p29 @p14) :args (@t21)) % 159.44/159.68 (step @p31 :rule trans :premises (@p12 @p30)) % 159.44/159.68 (step @p32 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity tptp.a2))) % 159.44/159.68 (step @p33 :rule cong :premises (@p32 @p14) :args (@t21)) % 159.44/159.68 (step @p34 :rule trans :premises (@p12 @p33)) % 159.44/159.68 (step @p35 :rule cong :premises (@p34 @p31) :args (@t21)) % 159.44/159.68 (step @p36 :rule trans :premises (@p12 @p35)) % 159.44/159.68 (step @p37 :rule cong :premises (@p14 @p36) :args (@t21)) % 159.44/159.68 (step @p38 :rule trans :premises (@p12 @p37 @p28 @p26)) % 159.44/159.68 (step @p39 :rule cong :premises (@p24 @p20) :args (@t26)) % 159.44/159.68 (step @p40 :rule trans :premises (@p12 @p37 @p28 @p39)) % 159.44/159.68 (step @p41 :rule cong :premises (@p40 @p38) :args (@t21)) % 159.44/159.68 (step @p42 :rule cong :premises (@p21 @p41) :args ((tptp.divide tptp.a2 @t21))) % 159.44/159.68 (step @p43 :rule cong :premises (@p16 @p13) :args (@t27)) % 159.44/159.68 (step @p44 :rule refl :args (@t21)) % 159.44/159.68 (step @p45 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.a2 tptp.b3))) % 159.44/159.68 (step @p46 :rule symm :premises (@p45)) % 159.44/159.68 (step @p47 :rule cong :premises (@p46 @p44) :args (@t31)) % 159.44/159.68 (step @p48 :rule trans :premises (@p47 @p42 @p19)) % 159.44/159.68 (step @p49 :rule cong :premises (@p48 @p43) :args (@t32)) % 159.44/159.68 (step @p50 :rule trans :premises (@p49 @p42 @p19)) % 159.44/159.68 (step @p51 :rule cong :premises (@p14 @p50) :args ((tptp.divide tptp.identity @t32))) % 159.44/159.68 (step @p52 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t29 @t21))) % 159.44/159.68 (step @p53 :rule trans :premises (@p52 @p51)) % 159.44/159.68 (step @p54 :rule cong :premises (@p29 @p53) :args (@t30)) % 159.44/159.68 (step @p55 :rule trans :premises (@p45 @p54 @p17 @p10)) % 159.44/159.68 (step @p56 :rule instantiate :premises (@p2) :args ((@list @t16 tptp.a1))) % 159.44/159.68 (step @p57 :rule symm :premises (@p56)) % 159.44/159.68 (step @p58 :rule instantiate :premises (@p3) :args (@t33)) % 159.44/159.68 (step @p59 :rule refl :args (@t16)) % 159.44/159.68 (step @p60 :rule cong :premises (@p59 @p58) :args ((tptp.divide @t16 @t16))) % 159.44/159.68 (step @p61 :rule instantiate :premises (@p4) :args ((@list @t16))) % 159.44/159.68 (step @p62 :rule trans :premises (@p61 @p60 @p57)) % 159.44/159.68 (step @p63 :rule refl :args (@t13)) % 159.44/159.68 (step @p64 :rule eq-symm :args (@t14 tptp.a2)) % 159.44/159.68 (step @p65 :rule cong :premises (@p64) :args (@t15)) % 159.44/159.68 (step @p66 :rule eq-symm :args (@t17 tptp.identity)) % 159.44/159.68 (step @p67 :rule cong :premises (@p66) :args (@t18)) % 159.44/159.68 (step @p68 :rule nary_cong :premises (@p67 @p65 @p63) :args (@t19)) % 159.44/159.68 (step @p69 :rule eq_resolve :premises (@p5 @p68)) % 159.44/159.68 (step @p70 :rule reordering :premises (@p69) :args ((or @t13 (not @t35) (not @t34)))) % 159.44/159.68 (step @p71 :rule chain_m_resolution :premises (@p70 @p62 @p55) :args (@t13 (@list false false) (@list @t35 @t34))) % 159.44/159.68 (step @p72 :rule false_intro :premises (@p71)) % 159.44/159.68 (step @p73 :rule instantiate :premises (@p2) :args ((@list tptp.a3 @t11))) % 159.44/159.68 (step @p74 :rule symm :premises (@p73)) % 159.44/159.68 (step @p75 :rule refl :args (@t36)) % 159.44/159.68 (step @p76 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.a3 @t20))) % 159.44/159.68 (step @p77 :rule symm :premises (@p76)) % 159.44/159.68 (step @p78 :rule cong :premises (@p77 @p75) :args ((tptp.divide @t39 @t36))) % 159.44/159.68 (step @p79 :rule instantiate :premises (@p2) :args ((@list tptp.b3 tptp.c3))) % 159.44/159.68 (step @p80 :rule symm :premises (@p79)) % 159.44/159.68 (step @p81 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.c3 tptp.identity))) % 159.44/159.68 (step @p82 :rule symm :premises (@p81)) % 159.44/159.68 (step @p83 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t42 @t21))) % 159.44/159.68 (step @p84 :rule symm :premises (@p83)) % 159.44/159.68 (step @p85 :rule cong :premises (@p29 @p12) :args (@t21)) % 159.44/159.68 (step @p86 :rule cong :premises (@p16 @p14) :args (@t40)) % 159.44/159.68 (step @p87 :rule trans :premises (@p86 @p13)) % 159.44/159.68 (step @p88 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity tptp.c3))) % 159.44/159.68 (step @p89 :rule symm :premises (@p88)) % 159.44/159.68 (step @p90 :rule cong :premises (@p89 @p14) :args (@t45)) % 159.44/159.68 (step @p91 :rule trans :premises (@p90 @p13)) % 159.44/159.68 (step @p92 :rule cong :premises (@p91 @p87) :args (@t46)) % 159.44/159.68 (step @p93 :rule trans :premises (@p92 @p13)) % 159.44/159.68 (step @p94 :rule cong :premises (@p14 @p93) :args ((tptp.divide tptp.identity @t46))) % 159.44/159.68 (step @p95 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t44 tptp.identity))) % 159.44/159.68 (step @p96 :rule refl :args (@t43)) % 159.44/159.68 (step @p97 :rule refl :args (tptp.c3)) % 159.44/159.68 (step @p98 :rule cong :premises (@p12 @p97) :args (@t41)) % 159.44/159.68 (step @p99 :rule instantiate :premises (@p4) :args ((@list tptp.c3))) % 159.44/159.68 (step @p100 :rule symm :premises (@p99)) % 159.44/159.68 (step @p101 :rule cong :premises (@p100 @p97) :args (@t47)) % 159.44/159.68 (step @p102 :rule trans :premises (@p101 @p98)) % 159.44/159.68 (step @p103 :rule cong :premises (@p102 @p96) :args (@t48)) % 159.44/159.68 (step @p104 :rule trans :premises (@p103 @p95 @p94 @p13)) % 159.44/159.68 (step @p105 :rule cong :premises (@p98 @p96) :args (@t49)) % 159.44/159.68 (step @p106 :rule trans :premises (@p105 @p95 @p94 @p13)) % 159.44/159.68 (step 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159.44/159.68 (step @p174 :rule cong :premises (@p118 @p173) :args ((tptp.divide tptp.b3 @t41))) % 159.44/159.68 (step @p175 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t11 tptp.a1))) % 159.44/159.68 (step @p176 :rule symm :premises (@p175)) % 159.44/159.68 (step @p177 :rule trans :premises (@p176 @p79 @p174)) % 159.44/159.68 (step @p178 :rule cong :premises (@p177 @p172) :args (@t65)) % 159.44/159.68 (step @p179 :rule trans :premises (@p178 @p171 @p170 @p119)) % 159.44/159.68 (step @p180 :rule cong :premises (@p179 @p117) :args (@t66)) % 159.44/159.68 (step @p181 :rule trans :premises (@p180 @p80)) % 159.44/159.68 (step @p182 :rule cong :premises (@p14 @p181) :args ((tptp.divide tptp.identity @t66))) % 159.44/159.68 (step @p183 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t64 @t52))) % 159.44/159.68 (step @p184 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t64 @t67))) % 159.44/159.68 (step @p185 :rule symm :premises (@p184)) % 159.44/159.68 (step @p186 :rule symm :premises (@p116)) % 159.44/159.68 (step @p187 :rule refl :args (@t64)) % 159.44/159.68 (step @p188 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t11))) % 159.44/159.68 (step @p189 :rule symm :premises (@p188)) % 159.44/159.68 (step @p190 :rule cong :premises (@p189 @p14) :args (@t70)) % 159.44/159.68 (step @p191 :rule trans :premises (@p190 @p13)) % 159.44/159.68 (step @p192 :rule cong :premises (@p191 @p87) :args (@t71)) % 159.44/159.68 (step @p193 :rule trans :premises (@p192 @p13)) % 159.44/159.68 (step @p194 :rule cong :premises (@p14 @p193) :args ((tptp.divide tptp.identity @t71))) % 159.44/159.68 (step @p195 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t69 tptp.identity))) % 159.44/159.68 (step @p196 :rule refl :args (@t11)) % 159.44/159.68 (step @p197 :rule cong :premises (@p29 @p196) :args (@t36)) % 159.44/159.68 (step @p198 :rule refl :args (@t68)) % 159.44/159.68 (step @p199 :rule cong 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:args ((@list @t11))) % 159.44/159.68 (step @p213 :rule cong :premises (@p212 @p196) :args (@t36)) % 159.44/159.68 (step @p214 :rule trans :premises (@p200 @p213)) % 159.44/159.68 (step @p215 :rule cong :premises (@p214 @p211) :args ((tptp.divide @t64 @t76))) % 159.44/159.68 (step @p216 :rule instantiate :premises (@p8) :args ((@list @t64 @t42 tptp.c3))) % 159.44/159.68 (step @p217 :rule trans :premises (@p113 @p84 @p216 @p215)) % 159.44/159.68 (step @p218 :rule refl :args (@t54)) % 159.44/159.68 (step @p219 :rule cong :premises (@p76 @p218) :args ((tptp.divide tptp.a3 @t54))) % 159.44/159.68 (step @p220 :rule instantiate :premises (@p2) :args ((@list tptp.a3 tptp.b3))) % 159.44/159.68 (step @p221 :rule trans :premises (@p220 @p219)) % 159.44/159.68 (step @p222 :rule cong :premises (@p221 @p217) :args ((tptp.divide @t12 @t41))) % 159.44/159.68 (step @p223 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t12 tptp.a3))) % 159.44/159.68 (step @p224 :rule symm :premises (@p223)) % 159.44/159.68 (step @p225 :rule cong :premises (@p224 @p173) :args (@t77)) % 159.44/159.68 (step @p226 :rule trans :premises (@p225 @p222)) % 159.44/159.68 (step @p227 :rule cong :premises (@p29 @p226) :args (@t78)) % 159.44/159.68 (step @p228 :rule refl :args (@t77)) % 159.44/159.68 (step @p229 :rule cong :premises (@p16 @p228) :args (@t79)) % 159.44/159.68 (step @p230 :rule trans :premises (@p229 @p227)) % 159.44/159.68 (step @p231 :rule refl :args (@t67)) % 159.44/159.68 (step @p232 :rule cong :premises (@p175 @p231) :args ((tptp.divide @t11 @t67))) % 159.44/159.68 (step @p233 :rule instantiate :premises (@p8) :args ((@list @t11 @t38 @t54))) % 159.44/159.68 (step @p234 :rule instantiate :premises (@p8) :args ((@list tptp.a1 @t38 tptp.identity))) % 159.44/159.68 (step @p235 :rule symm :premises (@p234)) % 159.44/159.68 (step @p236 :rule refl :args (@t82)) % 159.44/159.68 (step @p237 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.a1 tptp.identity))) % 159.44/159.68 (step @p238 :rule symm :premises (@p237)) % 159.44/159.68 (step @p239 :rule instantiate :premises (@p3) :args ((@list @t84))) % 159.44/159.68 (step @p240 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t84 @t21))) % 159.44/159.68 (step @p241 :rule symm :premises (@p240)) % 159.44/159.68 (step @p242 :rule cong :premises (@p237 @p44) :args (@t85)) % 159.44/159.68 (step @p243 :rule symm :premises (@p61)) % 159.44/159.68 (step @p244 :rule symm :premises (@p58)) % 159.44/159.68 (step @p245 :rule refl :args (tptp.a1)) % 159.44/159.68 (step @p246 :rule instantiate :premises (@p4) :args (@t33)) % 159.44/159.68 (step @p247 :rule symm :premises (@p246)) % 159.44/159.68 (step @p248 :rule cong :premises (@p247 @p245) :args (@t80)) % 159.44/159.68 (step @p249 :rule trans :premises (@p248 @p244)) % 159.44/159.68 (step @p250 :rule cong :premises (@p249 @p244) :args (@t86)) % 159.44/159.68 (step @p251 :rule trans :premises (@p250 @p243)) % 159.44/159.68 (step @p252 :rule cong :premises (@p244 @p244) :args (@t87)) % 159.44/159.68 (step @p253 :rule trans :premises (@p252 @p243)) % 159.44/159.68 (step @p254 :rule cong :premises (@p253 @p251) :args (@t88)) % 159.44/159.68 (step @p255 :rule cong :premises (@p245 @p254) :args ((tptp.divide tptp.a1 @t88))) % 159.44/159.68 (step @p256 :rule instantiate :premises (@p8) :args ((@list tptp.a1 tptp.a1 @t83))) % 159.44/159.68 (step @p257 :rule trans :premises (@p256 @p255 @p242)) % 159.44/159.68 (step @p258 :rule cong :premises (@p257 @p85) :args (@t85)) % 159.44/159.68 (step @p259 :rule trans :premises (@p256 @p255 @p258)) % 159.44/159.68 (step @p260 :rule cong :premises (@p14 @p259) :args (@t83)) % 159.44/159.68 (step @p261 :rule trans :premises (@p58 @p260 @p241)) % 159.44/159.68 (step @p262 :rule cong :premises (@p261) :args ((tptp.inverse @t16))) % 159.44/159.68 (step @p263 :rule cong :premises (@p244) :args (@t89)) % 159.44/159.68 (step @p264 :rule eq-symm :args (@t89 @t90)) % 159.44/159.68 (step @p265 :rule refl :args (@t10)) % 159.44/159.68 (step @p266 :rule cong :premises (@p265 @p264) :args ((=> @t10 @t91))) % 159.44/159.68 (assume-push @p333 @t10) % 159.44/159.68 (step @p268 :rule instantiate :premises (@p3) :args ((@list @t83))) % 159.44/159.68 (step-pop @p334 :rule scope :premises (@p268)) % 159.44/159.68 (step @p269 :rule process_scope :premises (@p334) :args (@t91)) % 159.44/159.68 (step @p271 :rule eq_resolve :premises (@p269 @p266)) % 159.44/159.68 (step @p272 :rule implies_elim :premises (@p271)) % 159.44/159.68 (step @p273 :rule chain_m_resolution :premises (@p272 @p3) :args ((= @t90 @t89) (@list false) (@list @t10))) % 159.44/159.68 (step @p274 :rule trans :premises (@p273 @p263 @p262 @p239 @p238)) % 159.44/159.68 (step @p275 :rule cong :premises (@p274 @p236) :args ((tptp.divide @t90 @t82))) % 159.44/159.68 (step @p276 :rule trans :premises (@p275 @p235 @p233 @p232)) % 159.44/159.68 (step @p277 :rule symm :premises (@p275)) % 159.44/159.68 (step @p278 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t38 tptp.identity))) % 159.44/159.68 (step @p279 :rule symm :premises (@p278)) % 159.44/159.68 (step @p280 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.a3 tptp.a2))) % 159.44/159.68 (step @p281 :rule symm :premises (@p280)) % 159.44/159.68 (step @p282 :rule trans :premises (@p281 @p76)) % 159.44/159.68 (step @p283 :rule cong :premises (@p282 @p14) :args ((tptp.divide (tptp.divide tptp.identity (tptp.divide (tptp.divide @t37 tptp.a2) @t24)) tptp.identity))) % 159.44/159.68 (step @p284 :rule symm :premises (@p283)) % 159.44/159.68 (step @p285 :rule instantiate :premises (@p4) :args ((@list @t92))) % 159.44/159.68 (step @p286 :rule symm :premises (@p285)) % 159.44/159.68 (step @p287 :rule refl :args (tptp.a3)) % 159.44/159.68 (step @p288 :rule instantiate :premises (@p4) :args ((@list tptp.a3))) % 159.44/159.68 (step @p289 :rule symm :premises (@p288)) % 159.44/159.68 (step @p290 :rule cong :premises (@p289 @p287) :args (@t93)) % 159.44/159.68 (step @p291 :rule cong :premises (@p290 @p245) :args (@t94)) % 159.44/159.68 (step @p292 :rule refl :args (@t92)) % 159.44/159.68 (step @p293 :rule cong :premises (@p292 @p291) :args (@t95)) % 159.44/159.68 (step @p294 :rule trans :premises (@p293 @p286)) % 159.44/159.68 (step @p295 :rule cong :premises (@p76 @p294) :args ((tptp.divide tptp.a3 @t95))) % 159.44/159.68 (step @p296 :rule instantiate :premises (@p8) :args ((@list tptp.a3 tptp.a3 tptp.a1))) % 159.44/159.68 (step @p297 :rule trans :premises (@p296 @p295 @p284)) % 159.44/159.68 (step @p298 :rule trans :premises (@p77 @p297 @p283)) % 159.44/159.68 (step @p299 :rule cong :premises (@p298 @p31) :args (@t81)) % 159.44/159.68 (step @p300 :rule trans :premises (@p296 @p295 @p299)) % 159.44/159.68 (step @p301 :rule cong :premises (@p14 @p300) :args (@t37)) % 159.44/159.68 (step @p302 :rule trans :premises (@p290 @p301 @p279 @p234 @p277)) % 159.44/159.68 (step @p303 :rule trans :premises (@p302 @p276)) % 159.44/159.68 (step @p304 :rule cong :premises (@p303 @p230) :args (@t96)) % 159.44/159.68 (step @p305 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t77))) % 159.44/159.68 (step @p306 :rule symm :premises (@p305)) % 159.44/159.68 (step @p307 :rule cong :premises (@p306 @p14) :args (@t98)) % 159.44/159.68 (step @p308 :rule trans :premises (@p307 @p13)) % 159.44/159.68 (step @p309 :rule cong :premises (@p308 @p87) :args (@t99)) % 159.44/159.68 (step @p310 :rule trans :premises (@p309 @p13)) % 159.44/159.68 (step @p311 :rule cong :premises (@p14 @p310) :args ((tptp.divide tptp.identity @t99))) % 159.44/159.68 (step @p312 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t97 tptp.identity))) % 159.44/159.68 (step @p313 :rule refl :args (@t79)) % 159.44/159.68 (step @p314 :rule cong :premises (@p12 @p228) :args (@t78)) % 159.44/159.68 (step @p315 :rule cong :premises (@p314 @p313) :args (@t100)) % 159.44/159.68 (step @p316 :rule trans :premises (@p315 @p312 @p311 @p13)) % 159.44/159.68 (step @p317 :rule cong :premises (@p316 @p304) :args (@t101)) % 159.44/159.68 (step @p318 :rule trans :premises (@p317 @p185 @p183 @p182)) % 159.44/159.68 (step @p319 :rule cong :premises (@p76 @p318) :args (@t102)) % 159.44/159.68 (step @p320 :rule trans :premises (@p319 @p78 @p74)) % 159.44/159.68 (step @p321 :rule instantiate :premises (@p2) :args ((@list @t12 tptp.c3))) % 159.44/159.68 (step @p322 :rule symm :premises (@p321)) % 159.44/159.68 (step @p323 :rule trans :premises (@p225 @p322)) % 159.44/159.68 (step @p324 :rule cong :premises (@p323 @p320) :args (@t103)) % 159.44/159.68 (step @p325 :rule trans :premises (@p324 @p72)) % 159.44/159.68 (step @p326 :rule false_elim :premises (@p325)) % 159.44/159.68 (assume-push @p335 @t104) % 159.44/159.68 (step @p328 :rule instantiate :premises (@p8) :args ((@list tptp.a3 @t77 @t79))) % 159.44/159.68 (step-pop @p336 :rule scope :premises (@p328)) % 159.44/159.68 (step @p329 :rule process_scope :premises (@p336) :args (@t103)) % 159.44/159.68 (step @p331 :rule implies_elim :premises (@p329)) % 159.44/159.68 (step @p332 false :rule chain_m_resolution :premises (@p331 @p326 @p8) :args (false (@list true false) (@list @t103 @t104))) % 159.44/159.68 ) % 159.44/159.68 % SZS output end Proof % 159.44/159.68 % cvc5 exiting %------------------------------------------------------------------------------