%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP554-1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:20:55 AM UTC 2026 % Result : Unsatisfiable 28.43s 28.67s % Output : Proof 28.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP554-1 : TPTP v9.2.1. Released v2.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n026.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 01:16:40 EDT 2026 % 0.15/0.34 % 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... % 15.31/15.55 --- Run --no-e-matching --full-saturate-quant at 6... % 21.33/21.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.32/27.59 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.43/28.67 % SZS status Unsatisfiable % 28.43/28.67 % SZS output start Proof % 28.43/28.68 ( % 28.43/28.68 (declare-sort $$unsorted 0) % 28.43/28.68 (declare-const tptp.b2 $$unsorted) % 28.43/28.68 (declare-const tptp.a2 $$unsorted) % 28.43/28.68 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 28.43/28.68 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 28.43/28.68 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 28.43/28.68 (define @t1 () (@var "B" $$unsorted)) % 28.43/28.68 (define @t2 () (@var "C" $$unsorted)) % 28.43/28.68 (define @t3 () (@var "A" $$unsorted)) % 28.43/28.68 (define @t4 () (tptp.divide (tptp.divide @t3 (tptp.inverse (tptp.divide @t1 (tptp.divide @t3 @t2)))) @t2)) % 28.43/28.68 (define @t5 () (forall (@list @t3 @t1 @t2) (= @t4 @t1))) % 28.43/28.68 (define @t6 () (tptp.inverse tptp.b2)) % 28.43/28.68 (define @t7 () (tptp.multiply @t6 tptp.b2)) % 28.43/28.68 (define @t8 () (tptp.multiply @t7 tptp.a2)) % 28.43/28.68 (define @t9 () (tptp.divide tptp.b2 tptp.b2)) % 28.43/28.68 (define @t10 () (tptp.divide tptp.b2 @t9)) % 28.43/28.68 (define @t11 () (tptp.inverse @t10)) % 28.43/28.68 (define @t12 () (tptp.divide @t11 @t11)) % 28.43/28.68 (define @t13 () (tptp.divide @t11 (tptp.inverse (tptp.divide @t11 @t12)))) % 28.43/28.68 (define @t14 () (tptp.divide @t11 (tptp.inverse (tptp.divide tptp.b2 (tptp.divide @t11 @t9))))) % 28.43/28.68 (define @t15 () (tptp.divide @t11 (tptp.inverse (tptp.divide tptp.b2 @t12)))) % 28.43/28.68 (define @t16 () (tptp.divide @t13 (tptp.inverse (tptp.divide @t11 (tptp.divide @t13 @t6))))) % 28.43/28.68 (define @t17 () (tptp.divide tptp.b2 @t11)) % 28.43/28.68 (define @t18 () (tptp.divide tptp.b2 @t6)) % 28.43/28.68 (define @t19 () (tptp.divide tptp.b2 (tptp.inverse (tptp.divide tptp.b2 @t18)))) % 28.43/28.68 (define @t20 () (tptp.inverse tptp.a2)) % 28.43/28.68 (define @t21 () (tptp.divide @t6 @t20)) % 28.43/28.68 (define @t22 () (tptp.divide (tptp.divide tptp.a2 (tptp.inverse (tptp.divide tptp.a2 (tptp.divide tptp.a2 tptp.b2)))) tptp.b2)) % 28.43/28.68 (define @t23 () (tptp.divide tptp.a2 (tptp.inverse (tptp.divide tptp.b2 (tptp.divide tptp.a2 tptp.a2))))) % 28.43/28.68 (define @t24 () (tptp.inverse (tptp.divide @t23 @t22))) % 28.43/28.68 (define @t25 () (tptp.divide @t17 (tptp.inverse (tptp.divide tptp.a2 (tptp.divide @t17 @t6))))) % 28.43/28.68 (define @t26 () (tptp.divide tptp.b2 (tptp.inverse (tptp.divide tptp.b2 (tptp.divide tptp.b2 @t21))))) % 28.43/28.68 (define @t27 () (tptp.divide @t7 (tptp.inverse (tptp.divide (tptp.divide tptp.b2 (tptp.inverse (tptp.divide tptp.a2 @t9))) (tptp.divide @t7 @t6))))) % 28.43/28.68 (define @t28 () (tptp.divide @t27 (tptp.inverse (tptp.divide @t11 (tptp.divide @t27 @t20))))) % 28.43/28.68 (define @t29 () (tptp.divide tptp.b2 (tptp.inverse (tptp.divide @t25 (tptp.divide tptp.b2 @t24))))) % 28.43/28.68 (define @t30 () (tptp.divide @t29 @t6)) % 28.43/28.68 (define @t31 () (tptp.divide @t26 @t30)) % 28.43/28.68 (define @t32 () (tptp.inverse @t31)) % 28.43/28.68 (define @t33 () (tptp.divide @t29 @t32)) % 28.43/28.68 (define @t34 () (tptp.divide @t33 @t6)) % 28.43/28.68 (define @t35 () (= @t26 @t34)) % 28.43/28.68 (define @t36 () (not @t35)) % 28.43/28.68 (define @t37 () (tptp.divide @t28 @t20)) % 28.43/28.68 (define @t38 () (tptp.divide @t25 @t37)) % 28.43/28.68 (define @t39 () (tptp.inverse @t38)) % 28.43/28.68 (define @t40 () (tptp.divide @t28 @t39)) % 28.43/28.68 (define @t41 () (tptp.divide @t40 @t20)) % 28.43/28.68 (define @t42 () (= @t25 @t41)) % 28.43/28.68 (define @t43 () (not @t42)) % 28.43/28.68 (define @t44 () (= @t11 @t37)) % 28.43/28.68 (define @t45 () (not @t44)) % 28.43/28.68 (define @t46 () (tptp.divide @t11 @t20)) % 28.43/28.68 (define @t47 () (tptp.divide @t26 @t46)) % 28.43/28.68 (define @t48 () (tptp.inverse @t47)) % 28.43/28.68 (define @t49 () (tptp.divide @t11 @t48)) % 28.43/28.68 (define @t50 () (tptp.divide @t49 @t20)) % 28.43/28.68 (define @t51 () (= @t26 @t50)) % 28.43/28.68 (define @t52 () (not @t51)) % 28.43/28.68 (define @t53 () (= @t25 (tptp.divide @t29 @t24))) % 28.43/28.68 (define @t54 () (not @t53)) % 28.43/28.68 (define @t55 () (= tptp.a2 (tptp.divide @t25 @t6))) % 28.43/28.68 (define @t56 () (not @t55)) % 28.43/28.68 (define @t57 () (= tptp.b2 (tptp.divide @t26 @t21))) % 28.43/28.68 (define @t58 () (not @t57)) % 28.43/28.68 (define @t59 () (= tptp.a2 @t22)) % 28.43/28.68 (define @t60 () (not @t59)) % 28.43/28.68 (define @t61 () (tptp.divide @t23 tptp.a2)) % 28.43/28.68 (define @t62 () (= tptp.b2 @t61)) % 28.43/28.68 (define @t63 () (not @t62)) % 28.43/28.68 (define @t64 () (tptp.divide @t19 @t6)) % 28.43/28.68 (define @t65 () (tptp.divide @t17 @t64)) % 28.43/28.68 (define @t66 () (tptp.inverse @t65)) % 28.43/28.68 (define @t67 () (tptp.divide @t19 @t66)) % 28.43/28.68 (define @t68 () (tptp.divide @t67 @t6)) % 28.43/28.68 (define @t69 () (= @t17 @t68)) % 28.43/28.68 (define @t70 () (not @t69)) % 28.43/28.68 (define @t71 () (= @t7 (tptp.divide @t6 @t6))) % 28.43/28.68 (define @t72 () (not @t71)) % 28.43/28.68 (define @t73 () (= tptp.b2 @t64)) % 28.43/28.68 (define @t74 () (not @t73)) % 28.43/28.68 (define @t75 () (tptp.divide tptp.b2 (tptp.inverse (tptp.divide tptp.b2 @t17)))) % 28.43/28.68 (define @t76 () (= tptp.b2 (tptp.divide @t75 @t11))) % 28.43/28.68 (define @t77 () (not @t76)) % 28.43/28.68 (define @t78 () (tptp.divide @t16 @t6)) % 28.43/28.68 (define @t79 () (tptp.divide @t15 @t78)) % 28.43/28.68 (define @t80 () (tptp.inverse @t79)) % 28.43/28.68 (define @t81 () (tptp.divide @t16 @t80)) % 28.43/28.68 (define @t82 () (tptp.divide @t81 @t6)) % 28.43/28.68 (define @t83 () (= @t15 @t82)) % 28.43/28.68 (define @t84 () (not @t83)) % 28.43/28.68 (define @t85 () (tptp.divide @t14 @t9)) % 28.43/28.68 (define @t86 () (= @t14 (tptp.divide (tptp.divide tptp.b2 (tptp.inverse @t85)) tptp.b2))) % 28.43/28.68 (define @t87 () (not @t86)) % 28.43/28.68 (define @t88 () (= @t11 @t78)) % 28.43/28.68 (define @t89 () (not @t88)) % 28.43/28.68 (define @t90 () (= tptp.b2 @t85)) % 28.43/28.68 (define @t91 () (not @t90)) % 28.43/28.68 (define @t92 () (= tptp.b2 (tptp.divide @t15 @t11))) % 28.43/28.68 (define @t93 () (not @t92)) % 28.43/28.68 (define @t94 () (= @t8 (tptp.divide @t7 @t20))) % 28.43/28.68 (define @t95 () (not @t94)) % 28.43/28.68 (define @t96 () (tptp.divide @t17 tptp.b2)) % 28.43/28.68 (define @t97 () (= tptp.b2 @t96)) % 28.43/28.68 (define @t98 () (not @t97)) % 28.43/28.68 (define @t99 () (= tptp.a2 @t8)) % 28.43/28.68 (define @t100 () (not @t99)) % 28.43/28.68 (define @t101 () (= @t34 @t26)) % 28.43/28.68 (define @t102 () (not @t101)) % 28.43/28.68 (define @t103 () (tptp.divide @t75 @t78)) % 28.43/28.68 (define @t104 () (tptp.inverse @t103)) % 28.43/28.68 (define @t105 () (tptp.divide @t16 @t104)) % 28.43/28.68 (define @t106 () (tptp.divide @t105 @t6)) % 28.43/28.68 (define @t107 () (tptp.divide @t11 @t6)) % 28.43/28.68 (define @t108 () (and @t36 @t35)) % 28.43/28.68 (assume @p1 @t5) % 28.43/28.68 (assume @p2 (forall (@list @t3 @t1) (= (tptp.multiply @t3 @t1) (tptp.divide @t3 (tptp.inverse @t1))))) % 28.43/28.68 (assume @p3 (not (= @t8 tptp.a2))) % 28.43/28.68 (step @p4 :rule symm :premises (@p3)) % 28.43/28.68 (step @p5 :rule eq-symm :args (@t4 @t1)) % 28.43/28.68 (step @p6 :rule cong :premises (@p5) :args (@t5)) % 28.43/28.68 (step @p7 :rule eq_resolve :premises (@p1 @p6)) % 28.43/28.68 (step @p8 :rule instantiate :premises (@p7) :args ((@list tptp.b2 tptp.b2 tptp.b2))) % 28.43/28.68 (step @p9 :rule instantiate :premises (@p2) :args ((@list @t7 tptp.a2))) % 28.43/28.68 (step @p10 :rule instantiate :premises (@p7) :args ((@list @t11 tptp.b2 @t11))) % 28.43/28.68 (step @p11 :rule instantiate :premises (@p7) :args ((@list @t11 tptp.b2 @t9))) % 28.43/28.68 (step @p12 :rule instantiate :premises (@p7) :args ((@list @t13 @t11 @t6))) % 28.43/28.68 (step @p13 :rule instantiate :premises (@p7) :args ((@list tptp.b2 @t14 tptp.b2))) % 28.43/28.68 (step @p14 :rule instantiate :premises (@p7) :args ((@list @t16 @t15 @t6))) % 28.43/28.68 (step @p15 :rule instantiate :premises (@p7) :args ((@list tptp.b2 tptp.b2 @t11))) % 28.43/28.68 (step @p16 :rule instantiate :premises (@p7) :args ((@list tptp.b2 tptp.b2 @t6))) % 28.43/28.68 (step @p17 :rule instantiate :premises (@p2) :args ((@list @t6 tptp.b2))) % 28.43/28.68 (step @p18 :rule instantiate :premises (@p7) :args ((@list @t19 @t17 @t6))) % 28.43/28.68 (step @p19 :rule instantiate :premises (@p7) :args ((@list tptp.a2 tptp.b2 tptp.a2))) % 28.43/28.68 (step @p20 :rule instantiate :premises (@p7) :args ((@list tptp.a2 tptp.a2 tptp.b2))) % 28.43/28.68 (step @p21 :rule instantiate :premises (@p7) :args ((@list tptp.b2 tptp.b2 @t21))) % 28.43/28.68 (step @p22 :rule instantiate :premises (@p7) :args ((@list @t17 tptp.a2 @t6))) % 28.43/28.68 (step @p23 :rule instantiate :premises (@p7) :args ((@list tptp.b2 @t25 @t24))) % 28.43/28.68 (step @p24 :rule instantiate :premises (@p7) :args ((@list @t11 @t26 @t20))) % 28.43/28.68 (step @p25 :rule instantiate :premises (@p7) :args ((@list @t27 @t11 @t20))) % 28.43/28.68 (step @p26 :rule instantiate :premises (@p7) :args ((@list @t28 @t25 @t20))) % 28.43/28.68 (step @p27 :rule instantiate :premises (@p7) :args ((@list @t29 @t26 @t6))) % 28.43/28.68 (step @p28 :rule refl :args (@t36)) % 28.43/28.68 (step @p29 :rule refl :args (@t43)) % 28.43/28.68 (step @p30 :rule refl :args (@t45)) % 28.43/28.68 (step @p31 :rule refl :args (@t52)) % 28.43/28.68 (step @p32 :rule refl :args (@t54)) % 28.43/28.68 (step @p33 :rule refl :args (@t56)) % 28.43/28.68 (step @p34 :rule refl :args (@t58)) % 28.43/28.68 (step @p35 :rule refl :args (@t60)) % 28.43/28.68 (step @p36 :rule refl :args (@t63)) % 28.43/28.68 (step @p37 :rule refl :args (@t70)) % 28.43/28.68 (step @p38 :rule refl :args (@t72)) % 28.43/28.68 (step @p39 :rule refl :args (@t74)) % 28.43/28.68 (step @p40 :rule refl :args (@t77)) % 28.43/28.68 (step @p41 :rule refl :args (@t84)) % 28.43/28.68 (step @p42 :rule refl :args (@t87)) % 28.43/28.68 (step @p43 :rule refl :args (@t89)) % 28.43/28.68 (step @p44 :rule refl :args (@t91)) % 28.43/28.68 (step @p45 :rule refl :args (@t93)) % 28.43/28.68 (step @p46 :rule refl :args (@t95)) % 28.43/28.68 (step @p47 :rule refl :args (@t98)) % 28.43/28.68 (step @p48 :rule bool-double-not-elim :args (@t99)) % 28.43/28.68 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28) :args ((or (not @t100) @t98 @t95 @t93 @t91 @t89 @t87 @t84 @t77 @t74 @t72 @t70 @t63 @t60 @t58 @t56 @t54 @t52 @t45 @t43 @t36))) % 28.43/28.68 (assume-push @p218 @t36) % 28.43/28.68 (assume-push @p219 @t35) % 28.43/28.68 (step @p52 :rule evaluate :args ((= false true))) % 28.43/28.68 (step @p53 :rule true_intro :premises (@p27)) % 28.43/28.68 (step @p54 :rule bool-eq-false :args (@t35)) % 28.43/28.68 (step @p55 :rule symm :premises (@p54)) % 28.43/28.68 (step @p56 :rule eq-symm :args (@t34 @t26)) % 28.43/28.68 (step @p57 :rule cong :premises (@p56) :args (@t102)) % 28.43/28.68 (step @p58 :rule bool-eq-false :args (@t101)) % 28.43/28.68 (step @p59 :rule trans :premises (@p58 @p57)) % 28.43/28.68 (step @p60 :rule trans :premises (@p59 @p55)) % 28.43/28.68 (step @p61 :rule false_intro :premises (@p4)) % 28.43/28.68 (step @p62 :rule symm :premises (@p9)) % 28.43/28.68 (step @p63 :rule refl :args (@t20)) % 28.43/28.68 (step @p64 :rule symm :premises (@p17)) % 28.43/28.68 (step @p65 :rule symm :premises (@p11)) % 28.43/28.68 (step @p66 :rule refl :args (@t9)) % 28.43/28.68 (step @p67 :rule symm :premises (@p13)) % 28.43/28.68 (step @p68 :rule refl :args (tptp.b2)) % 28.43/28.68 (step @p69 :rule cong :premises (@p11) :args (@t6)) % 28.43/28.68 (step @p70 :rule cong :premises (@p68 @p69) :args (@t18)) % 28.43/28.68 (step @p71 :rule refl :args (@t6)) % 28.43/28.68 (step @p72 :rule symm :premises (@p16)) % 28.43/28.68 (step @p73 :rule symm :premises (@p8)) % 28.43/28.68 (step @p74 :rule refl :args (@t17)) % 28.43/28.68 (step @p75 :rule cong :premises (@p74 @p72) :args (@t65)) % 28.43/28.68 (step @p76 :rule trans :premises (@p75 @p73)) % 28.43/28.68 (step @p77 :rule cong :premises (@p76) :args (@t66)) % 28.43/28.68 (step @p78 :rule refl :args (@t19)) % 28.43/28.68 (step @p79 :rule cong :premises (@p78 @p77) :args (@t67)) % 28.43/28.68 (step @p80 :rule trans :premises (@p79 @p72)) % 28.43/28.68 (step @p81 :rule cong :premises (@p80 @p71) :args (@t68)) % 28.43/28.68 (step @p82 :rule trans :premises (@p18 @p81 @p70)) % 28.43/28.68 (step @p83 :rule cong :premises (@p82 @p68) :args (@t96)) % 28.43/28.68 (step @p84 :rule trans :premises (@p8 @p83 @p67)) % 28.43/28.68 (step @p85 :rule cong :premises (@p84 @p66) :args (@t10)) % 28.43/28.68 (step @p86 :rule trans :premises (@p85 @p65)) % 28.43/28.68 (step @p87 :rule cong :premises (@p86) :args (@t11)) % 28.43/28.68 (step @p88 :rule cong :premises (@p87 @p87) :args (@t12)) % 28.43/28.68 (step @p89 :rule symm :premises (@p87)) % 28.43/28.68 (step @p90 :rule symm :premises (@p12)) % 28.43/28.68 (step @p91 :rule symm :premises (@p10)) % 28.43/28.68 (step @p92 :rule refl :args (@t15)) % 28.43/28.68 (step @p93 :rule cong :premises (@p92 @p90) :args (@t79)) % 28.43/28.68 (step @p94 :rule trans :premises (@p93 @p91)) % 28.43/28.68 (step @p95 :rule cong :premises (@p94) :args (@t80)) % 28.43/28.68 (step @p96 :rule refl :args (@t16)) % 28.43/28.68 (step @p97 :rule cong :premises (@p96 @p95) :args (@t81)) % 28.43/28.68 (step @p98 :rule symm :premises (@p95)) % 28.43/28.68 (step @p99 :rule symm :premises (@p15)) % 28.43/28.68 (step @p100 :rule refl :args (@t75)) % 28.43/28.68 (step @p101 :rule cong :premises (@p100 @p90) :args (@t103)) % 28.43/28.68 (step @p102 :rule trans :premises (@p101 @p99)) % 28.43/28.68 (step @p103 :rule cong :premises (@p102) :args (@t104)) % 28.43/28.68 (step @p104 :rule trans :premises (@p103 @p98)) % 28.43/28.68 (step @p105 :rule cong :premises (@p96 @p104) :args (@t105)) % 28.43/28.68 (step @p106 :rule trans :premises (@p105 @p97 @p90)) % 28.43/28.68 (step @p107 :rule cong :premises (@p106 @p89) :args (@t106)) % 28.43/28.68 (step @p108 :rule symm :premises (@p106)) % 28.43/28.68 (step @p109 :rule cong :premises (@p108 @p71) :args (@t107)) % 28.43/28.68 (step @p110 :rule trans :premises (@p97 @p90)) % 28.43/28.68 (step @p111 :rule cong :premises (@p110 @p71) :args (@t82)) % 28.43/28.68 (step @p112 :rule trans :premises (@p14 @p111 @p109 @p107 @p88 @p64)) % 28.43/28.68 (step @p113 :rule symm :premises (@p14)) % 28.43/28.68 (step @p114 :rule symm :premises (@p111)) % 28.43/28.68 (step @p115 :rule symm :premises (@p109)) % 28.43/28.68 (step @p116 :rule symm :premises (@p107)) % 28.43/28.68 (step @p117 :rule symm :premises (@p21)) % 28.43/28.68 (step @p118 :rule cong :premises (@p87 @p63) :args (@t46)) % 28.43/28.68 (step @p119 :rule refl :args (@t26)) % 28.43/28.68 (step @p120 :rule cong :premises (@p119 @p118) :args (@t47)) % 28.43/28.68 (step @p121 :rule trans :premises (@p120 @p117)) % 28.43/28.68 (step @p122 :rule cong :premises (@p121) :args (@t48)) % 28.43/28.68 (step @p123 :rule trans :premises (@p122 @p89)) % 28.43/28.68 (step @p124 :rule refl :args (@t11)) % 28.43/28.68 (step @p125 :rule cong :premises (@p124 @p123) :args (@t49)) % 28.43/28.68 (step @p126 :rule trans :premises (@p125 @p116 @p115 @p114 @p113)) % 28.43/28.68 (step @p127 :rule trans :premises (@p126 @p112)) % 28.43/28.68 (step @p128 :rule cong :premises (@p127 @p63) :args (@t50)) % 28.43/28.68 (step @p129 :rule trans :premises (@p24 @p128 @p62)) % 28.43/28.68 (step @p130 :rule symm :premises (@p22)) % 28.43/28.68 (step @p131 :rule symm :premises (@p23)) % 28.43/28.68 (step @p132 :rule refl :args (@t23)) % 28.43/28.68 (step @p133 :rule cong :premises (@p132 @p20) :args (@t61)) % 28.43/28.68 (step @p134 :rule trans :premises (@p19 @p133)) % 28.43/28.68 (step @p135 :rule cong :premises (@p134) :args (@t6)) % 28.43/28.68 (step @p136 :rule refl :args (@t29)) % 28.43/28.68 (step @p137 :rule cong :premises (@p136 @p135) :args (@t30)) % 28.43/28.68 (step @p138 :rule symm :premises (@p118)) % 28.43/28.68 (step @p139 :rule symm :premises (@p25)) % 28.43/28.68 (step @p140 :rule trans :premises (@p139 @p87)) % 28.43/28.68 (step @p141 :rule refl :args (@t25)) % 28.43/28.68 (step @p142 :rule cong :premises (@p141 @p140) :args (@t38)) % 28.43/28.68 (step @p143 :rule trans :premises (@p142 @p130)) % 28.43/28.68 (step @p144 :rule cong :premises (@p143) :args (@t39)) % 28.43/28.68 (step @p145 :rule refl :args (@t28)) % 28.43/28.68 (step @p146 :rule cong :premises (@p145 @p144) :args (@t40)) % 28.43/28.68 (step @p147 :rule trans :premises (@p146 @p139)) % 28.43/28.68 (step @p148 :rule trans :premises (@p147 @p87)) % 28.43/28.68 (step @p149 :rule cong :premises (@p148 @p63) :args (@t41)) % 28.43/28.68 (step @p150 :rule trans :premises (@p137 @p131 @p26 @p149 @p138)) % 28.43/28.68 (step @p151 :rule cong :premises (@p119 @p150) :args (@t31)) % 28.43/28.68 (step @p152 :rule trans :premises (@p151 @p120 @p117)) % 28.43/28.68 (step @p153 :rule cong :premises (@p152) :args (@t32)) % 28.43/28.68 (step @p154 :rule cong :premises (@p136 @p153) :args (@t33)) % 28.43/28.68 (step @p155 :rule trans :premises (@p154 @p137 @p131)) % 28.43/28.68 (step @p156 :rule cong :premises (@p155 @p71) :args (@t34)) % 28.43/28.68 (step @p157 :rule trans :premises (@p156 @p130)) % 28.43/28.68 (step @p158 :rule cong :premises (@p157 @p129) :args (@t101)) % 28.43/28.68 (step @p159 :rule trans :premises (@p158 @p61)) % 28.43/28.68 (step @p160 :rule eq_resolve :premises (@p159 @p60)) % 28.43/28.68 (step @p161 :rule symm :premises (@p160)) % 28.43/28.68 (step @p162 :rule trans :premises (@p161 @p53)) % 28.43/28.68 (step @p163 false :rule eq_resolve :premises (@p162 @p52)) % 28.43/28.68 (step-pop @p220 :rule scope :premises (@p163)) % 28.43/28.68 (step-pop @p221 :rule scope :premises (@p220)) % 28.43/28.68 (step @p164 :rule process_scope :premises (@p221) :args (false)) % 28.43/28.68 (assume-push @p222 @t100) % 28.43/28.68 (assume-push @p223 @t97) % 28.43/28.68 (assume-push @p224 @t94) % 28.43/28.68 (assume-push @p225 @t92) % 28.43/28.68 (assume-push @p226 @t90) % 28.43/28.68 (assume-push @p227 @t88) % 28.43/28.68 (assume-push @p228 @t86) % 28.43/28.68 (assume-push @p229 @t83) % 28.43/28.68 (assume-push @p230 @t76) % 28.43/28.68 (assume-push @p231 @t73) % 28.43/28.68 (assume-push @p232 @t71) % 28.43/28.68 (assume-push @p233 @t69) % 28.43/28.68 (assume-push @p234 @t62) % 28.43/28.68 (assume-push @p235 @t59) % 28.43/28.68 (assume-push @p236 @t57) % 28.43/28.68 (assume-push @p237 @t55) % 28.43/28.68 (assume-push @p238 @t53) % 28.43/28.68 (assume-push @p239 @t51) % 28.43/28.68 (assume-push @p240 @t44) % 28.43/28.68 (assume-push @p241 @t42) % 28.43/28.68 (assume-push @p242 @t35) % 28.43/28.68 (step @p54 :rule bool-eq-false :args (@t35)) % 28.43/28.68 (step @p55 :rule symm :premises (@p54)) % 28.43/28.68 (step @p56 :rule eq-symm :args (@t34 @t26)) % 28.43/28.68 (step @p57 :rule cong :premises (@p56) :args (@t102)) % 28.43/28.68 (step @p58 :rule bool-eq-false :args (@t101)) % 28.43/28.68 (step @p59 :rule trans :premises (@p58 @p57)) % 28.43/28.68 (step @p60 :rule trans :premises (@p59 @p55)) % 28.43/28.68 (step @p61 :rule false_intro :premises (@p4)) % 28.43/28.68 (step @p62 :rule symm :premises (@p9)) % 28.43/28.68 (step @p63 :rule refl :args (@t20)) % 28.43/28.68 (step @p64 :rule symm :premises (@p17)) % 28.43/28.68 (step @p65 :rule symm :premises (@p11)) % 28.43/28.68 (step @p66 :rule refl :args (@t9)) % 28.43/28.68 (step @p67 :rule symm :premises (@p13)) % 28.43/28.68 (step @p68 :rule refl :args (tptp.b2)) % 28.43/28.68 (step @p69 :rule cong :premises (@p11) :args (@t6)) % 28.43/28.68 (step @p70 :rule cong :premises (@p68 @p69) :args (@t18)) % 28.43/28.68 (step @p71 :rule refl :args (@t6)) % 28.43/28.68 (step @p72 :rule symm :premises (@p16)) % 28.43/28.68 (step @p73 :rule symm :premises (@p8)) % 28.43/28.68 (step @p74 :rule refl :args (@t17)) % 28.43/28.68 (step @p75 :rule cong :premises (@p74 @p72) :args (@t65)) % 28.43/28.68 (step @p76 :rule trans :premises (@p75 @p73)) % 28.43/28.68 (step @p77 :rule cong :premises (@p76) :args (@t66)) % 28.43/28.68 (step @p78 :rule refl :args (@t19)) % 28.43/28.68 (step @p79 :rule cong :premises (@p78 @p77) :args (@t67)) % 28.43/28.68 (step @p80 :rule trans :premises (@p79 @p72)) % 28.43/28.68 (step @p81 :rule cong :premises (@p80 @p71) :args (@t68)) % 28.43/28.68 (step @p82 :rule trans :premises (@p18 @p81 @p70)) % 28.43/28.68 (step @p83 :rule cong :premises (@p82 @p68) :args (@t96)) % 28.43/28.68 (step @p84 :rule trans :premises (@p8 @p83 @p67)) % 28.43/28.68 (step @p85 :rule cong :premises (@p84 @p66) :args (@t10)) % 28.43/28.68 (step @p86 :rule trans :premises (@p85 @p65)) % 28.43/28.68 (step @p87 :rule cong :premises (@p86) :args (@t11)) % 28.43/28.68 (step @p88 :rule cong :premises (@p87 @p87) :args (@t12)) % 28.43/28.68 (step @p89 :rule symm :premises (@p87)) % 28.43/28.68 (step @p90 :rule symm :premises (@p12)) % 28.43/28.68 (step @p91 :rule symm :premises (@p10)) % 28.43/28.68 (step @p92 :rule refl :args (@t15)) % 28.43/28.68 (step @p93 :rule cong :premises (@p92 @p90) :args (@t79)) % 28.43/28.68 (step @p94 :rule trans :premises (@p93 @p91)) % 28.43/28.68 (step @p95 :rule cong :premises (@p94) :args (@t80)) % 28.43/28.68 (step @p96 :rule refl :args (@t16)) % 28.43/28.68 (step @p97 :rule cong :premises (@p96 @p95) :args (@t81)) % 28.43/28.68 (step @p98 :rule symm :premises (@p95)) % 28.43/28.68 (step @p99 :rule symm :premises (@p15)) % 28.43/28.68 (step @p100 :rule refl :args (@t75)) % 28.43/28.68 (step @p101 :rule cong :premises (@p100 @p90) :args (@t103)) % 28.43/28.68 (step @p102 :rule trans :premises (@p101 @p99)) % 28.43/28.68 (step @p103 :rule cong :premises (@p102) :args (@t104)) % 28.43/28.68 (step @p104 :rule trans :premises (@p103 @p98)) % 28.43/28.68 (step @p105 :rule cong :premises (@p96 @p104) :args (@t105)) % 28.43/28.68 (step @p106 :rule trans :premises (@p105 @p97 @p90)) % 28.43/28.68 (step @p107 :rule cong :premises (@p106 @p89) :args (@t106)) % 28.43/28.68 (step @p108 :rule symm :premises (@p106)) % 28.43/28.68 (step @p109 :rule cong :premises (@p108 @p71) :args (@t107)) % 28.43/28.68 (step @p110 :rule trans :premises (@p97 @p90)) % 28.43/28.68 (step @p111 :rule cong :premises (@p110 @p71) :args (@t82)) % 28.43/28.68 (step @p112 :rule trans :premises (@p14 @p111 @p109 @p107 @p88 @p64)) % 28.43/28.68 (step @p113 :rule symm :premises (@p14)) % 28.43/28.68 (step @p114 :rule symm :premises (@p111)) % 28.43/28.68 (step @p115 :rule symm :premises (@p109)) % 28.43/28.68 (step @p116 :rule symm :premises (@p107)) % 28.43/28.68 (step @p117 :rule symm :premises (@p21)) % 28.43/28.68 (step @p118 :rule cong :premises (@p87 @p63) :args (@t46)) % 28.43/28.68 (step @p119 :rule refl :args (@t26)) % 28.43/28.68 (step @p120 :rule cong :premises (@p119 @p118) :args (@t47)) % 28.43/28.68 (step @p121 :rule trans :premises (@p120 @p117)) % 28.43/28.68 (step @p122 :rule cong :premises (@p121) :args (@t48)) % 28.43/28.68 (step @p123 :rule trans :premises (@p122 @p89)) % 28.43/28.68 (step @p124 :rule refl :args (@t11)) % 28.43/28.68 (step @p125 :rule cong :premises (@p124 @p123) :args (@t49)) % 28.43/28.68 (step @p126 :rule trans :premises (@p125 @p116 @p115 @p114 @p113)) % 28.43/28.68 (step @p127 :rule trans :premises (@p126 @p112)) % 28.43/28.68 (step @p128 :rule cong :premises (@p127 @p63) :args (@t50)) % 28.43/28.68 (step @p129 :rule trans :premises (@p24 @p128 @p62)) % 28.43/28.68 (step @p130 :rule symm :premises (@p22)) % 28.43/28.68 (step @p131 :rule symm :premises (@p23)) % 28.43/28.68 (step @p132 :rule refl :args (@t23)) % 28.43/28.68 (step @p133 :rule cong :premises (@p132 @p20) :args (@t61)) % 28.43/28.68 (step @p134 :rule trans :premises (@p19 @p133)) % 28.43/28.68 (step @p135 :rule cong :premises (@p134) :args (@t6)) % 28.43/28.68 (step @p136 :rule refl :args (@t29)) % 28.43/28.68 (step @p137 :rule cong :premises (@p136 @p135) :args (@t30)) % 28.43/28.68 (step @p138 :rule symm :premises (@p118)) % 28.43/28.68 (step @p139 :rule symm :premises (@p25)) % 28.43/28.68 (step @p140 :rule trans :premises (@p139 @p87)) % 28.43/28.68 (step @p141 :rule refl :args (@t25)) % 28.43/28.68 (step @p142 :rule cong :premises (@p141 @p140) :args (@t38)) % 28.43/28.68 (step @p143 :rule trans :premises (@p142 @p130)) % 28.43/28.68 (step @p144 :rule cong :premises (@p143) :args (@t39)) % 28.43/28.68 (step @p145 :rule refl :args (@t28)) % 28.43/28.68 (step @p146 :rule cong :premises (@p145 @p144) :args (@t40)) % 28.43/28.68 (step @p147 :rule trans :premises (@p146 @p139)) % 28.43/28.68 (step @p148 :rule trans :premises (@p147 @p87)) % 28.43/28.68 (step @p149 :rule cong :premises (@p148 @p63) :args (@t41)) % 28.43/28.68 (step @p150 :rule trans :premises (@p137 @p131 @p26 @p149 @p138)) % 28.43/28.68 (step @p151 :rule cong :premises (@p119 @p150) :args (@t31)) % 28.43/28.68 (step @p152 :rule trans :premises (@p151 @p120 @p117)) % 28.43/28.68 (step @p153 :rule cong :premises (@p152) :args (@t32)) % 28.43/28.68 (step @p154 :rule cong :premises (@p136 @p153) :args (@t33)) % 28.43/28.68 (step @p155 :rule trans :premises (@p154 @p137 @p131)) % 28.43/28.68 (step @p156 :rule cong :premises (@p155 @p71) :args (@t34)) % 28.43/28.68 (step @p157 :rule trans :premises (@p156 @p130)) % 28.43/28.68 (step @p158 :rule cong :premises (@p157 @p129) :args (@t101)) % 28.43/28.68 (step @p159 :rule trans :premises (@p158 @p61)) % 28.43/28.68 (step @p188 :rule eq_resolve :premises (@p159 @p60)) % 28.43/28.68 (step @p189 :rule false_elim :premises (@p188)) % 28.43/28.68 (step @p190 :rule and_intro :premises (@p189 @p27)) % 28.43/28.68 (step-pop @p243 :rule scope :premises (@p190)) % 28.43/28.68 (step-pop @p244 :rule scope :premises (@p243)) % 28.43/28.68 (step-pop @p245 :rule scope :premises (@p244)) % 28.43/28.68 (step-pop @p246 :rule scope :premises (@p245)) % 28.43/28.68 (step-pop @p247 :rule scope :premises (@p246)) % 28.43/28.68 (step-pop @p248 :rule scope :premises (@p247)) % 28.43/28.68 (step-pop @p249 :rule scope :premises (@p248)) % 28.43/28.68 (step-pop @p250 :rule scope :premises (@p249)) % 28.43/28.68 (step-pop @p251 :rule scope :premises (@p250)) % 28.43/28.68 (step-pop @p252 :rule scope :premises (@p251)) % 28.43/28.68 (step-pop @p253 :rule scope :premises (@p252)) % 28.43/28.68 (step-pop @p254 :rule scope :premises (@p253)) % 28.43/28.68 (step-pop @p255 :rule scope :premises (@p254)) % 28.43/28.68 (step-pop @p256 :rule scope :premises (@p255)) % 28.43/28.68 (step-pop @p257 :rule scope :premises (@p256)) % 28.43/28.68 (step-pop @p258 :rule scope :premises (@p257)) % 28.43/28.68 (step-pop @p259 :rule scope :premises (@p258)) % 28.43/28.68 (step-pop @p260 :rule scope :premises (@p259)) % 28.43/28.68 (step-pop @p261 :rule scope :premises (@p260)) % 28.43/28.68 (step-pop @p262 :rule scope :premises (@p261)) % 28.43/28.68 (step-pop @p263 :rule scope :premises (@p262)) % 28.43/28.68 (step @p191 :rule process_scope :premises (@p263) :args (@t108)) % 28.43/28.68 (step @p213 :rule implies_elim :premises (@p191)) % 28.43/28.68 (step @p214 :rule resolution :premises (@p213 @p164) :args (true @t108)) % 28.43/28.68 (step @p215 :rule not_and :premises (@p214)) % 28.43/28.68 (step @p216 :rule eq_resolve :premises (@p215 @p49)) % 28.43/28.68 (step @p217 false :rule chain_m_resolution :premises (@p216 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p13 @p12 @p11 @p10 @p9 @p8 @p4) :args (false (@list false false false false false false false false false false false false false false false false false false false false true) (@list @t35 @t42 @t44 @t51 @t53 @t55 @t57 @t59 @t62 @t69 @t71 @t73 @t76 @t83 @t86 @t88 @t90 @t92 @t94 @t97 @t99))) % 28.43/28.68 ) % 28.43/28.68 % SZS output end Proof % 28.43/28.68 % cvc5 exiting %------------------------------------------------------------------------------