%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP465-1 : 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 : n011.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 08:20:46 AM UTC 2026 % Result : Unsatisfiable 71.42s 71.66s % Output : Proof 71.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP465-1 : 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 % 0.17/0.33 % Computer : n011.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % 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 01:12:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.30/15.54 --- Run --no-e-matching --full-saturate-quant at 6... % 21.31/21.56 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.31/27.57 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.41/33.62 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.41/63.65 --- Run --trigger-sel=max --full-saturate-quant at 15... % 71.42/71.66 % SZS status Unsatisfiable % 71.42/71.66 % SZS output start Proof % 71.42/71.67 ( % 71.42/71.67 (declare-sort $$unsorted 0) % 71.42/71.67 (declare-const tptp.a3 $$unsorted) % 71.42/71.67 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 71.42/71.67 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 71.42/71.67 (declare-const tptp.b3 $$unsorted) % 71.42/71.67 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 71.42/71.67 (declare-const tptp.c3 $$unsorted) % 71.42/71.67 (declare-const tptp.identity $$unsorted) % 71.42/71.67 (define @t1 () (@var "B" $$unsorted)) % 71.42/71.67 (define @t2 () (@var "C" $$unsorted)) % 71.42/71.67 (define @t3 () (@var "A" $$unsorted)) % 71.42/71.67 (define @t4 () (tptp.divide tptp.identity @t3)) % 71.42/71.67 (define @t5 () (tptp.divide @t3 @t3)) % 71.42/71.67 (define @t6 () (tptp.divide @t3 (tptp.divide (tptp.divide (tptp.divide @t5 @t1) @t2) (tptp.divide @t4 @t2)))) % 71.42/71.67 (define @t7 () (@list @t3 @t1 @t2)) % 71.42/71.67 (define @t8 () (forall @t7 (= @t6 @t1))) % 71.42/71.67 (define @t9 () (tptp.inverse @t3)) % 71.42/71.67 (define @t10 () (@list @t3)) % 71.42/71.67 (define @t11 () (forall @t10 (= @t9 @t4))) % 71.42/71.67 (define @t12 () (tptp.multiply tptp.b3 tptp.c3)) % 71.42/71.67 (define @t13 () (tptp.multiply tptp.a3 @t12)) % 71.42/71.67 (define @t14 () (tptp.multiply tptp.a3 tptp.b3)) % 71.42/71.67 (define @t15 () (tptp.multiply @t14 tptp.c3)) % 71.42/71.67 (define @t16 () (tptp.divide tptp.identity tptp.identity)) % 71.42/71.67 (define @t17 () (tptp.divide @t16 tptp.identity)) % 71.42/71.67 (define @t18 () (tptp.divide @t16 @t13)) % 71.42/71.67 (define @t19 () (tptp.divide @t18 tptp.identity)) % 71.42/71.67 (define @t20 () (tptp.divide @t19 @t17)) % 71.42/71.67 (define @t21 () (tptp.divide tptp.identity @t20)) % 71.42/71.67 (define @t22 () (= @t13 @t21)) % 71.42/71.67 (define @t23 () (= @t21 @t13)) % 71.42/71.67 (define @t24 () (tptp.divide @t16 @t15)) % 71.42/71.67 (define @t25 () (tptp.divide @t24 tptp.identity)) % 71.42/71.67 (define @t26 () (tptp.divide @t25 @t17)) % 71.42/71.67 (define @t27 () (tptp.divide @t15 @t16)) % 71.42/71.67 (define @t28 () (tptp.divide tptp.identity @t15)) % 71.42/71.67 (define @t29 () (tptp.divide @t15 @t15)) % 71.42/71.67 (define @t30 () (tptp.divide @t29 @t15)) % 71.42/71.67 (define @t31 () (tptp.divide @t30 @t28)) % 71.42/71.67 (define @t32 () (tptp.divide @t31 (tptp.divide @t28 @t28))) % 71.42/71.67 (define @t33 () (tptp.divide tptp.identity @t28)) % 71.42/71.67 (define @t34 () (tptp.divide tptp.identity tptp.c3)) % 71.42/71.67 (define @t35 () (tptp.divide @t16 @t14)) % 71.42/71.67 (define @t36 () (tptp.divide @t35 tptp.identity)) % 71.42/71.67 (define @t37 () (tptp.divide @t36 @t17)) % 71.42/71.67 (define @t38 () (tptp.divide @t14 @t16)) % 71.42/71.67 (define @t39 () (tptp.divide @t17 @t14)) % 71.42/71.67 (define @t40 () (tptp.divide @t39 @t35)) % 71.42/71.67 (define @t41 () (tptp.divide @t16 @t40)) % 71.42/71.67 (define @t42 () (tptp.divide @t41 tptp.identity)) % 71.42/71.67 (define @t43 () (tptp.divide @t42 @t17)) % 71.42/71.67 (define @t44 () (tptp.divide tptp.identity @t14)) % 71.42/71.67 (define @t45 () (tptp.divide @t44 @t35)) % 71.42/71.67 (define @t46 () (tptp.divide @t14 @t14)) % 71.42/71.67 (define @t47 () (tptp.divide @t46 @t14)) % 71.42/71.67 (define @t48 () (tptp.divide @t47 @t35)) % 71.42/71.67 (define @t49 () (tptp.divide @t48 @t45)) % 71.42/71.67 (define @t50 () (tptp.divide tptp.identity @t44)) % 71.42/71.67 (define @t51 () (tptp.divide tptp.identity @t35)) % 71.42/71.67 (define @t52 () (tptp.divide @t51 @t34)) % 71.42/71.67 (define @t53 () (tptp.divide @t35 @t35)) % 71.42/71.67 (define @t54 () (tptp.divide @t53 @t44)) % 71.42/71.67 (define @t55 () (tptp.divide @t54 @t34)) % 71.42/71.67 (define @t56 () (tptp.divide tptp.identity @t12)) % 71.42/71.67 (define @t57 () (tptp.divide @t56 @t16)) % 71.42/71.67 (define @t58 () (tptp.inverse @t56)) % 71.42/71.67 (define @t59 () (@list @t56)) % 71.42/71.67 (define @t60 () (tptp.divide tptp.identity @t56)) % 71.42/71.67 (define @t61 () (tptp.divide @t60 @t58)) % 71.42/71.67 (define @t62 () (tptp.divide (tptp.divide @t56 @t56) @t56)) % 71.42/71.67 (define @t63 () (tptp.divide @t62 @t58)) % 71.42/71.67 (define @t64 () (tptp.divide @t63 @t61)) % 71.42/71.67 (define @t65 () (tptp.divide @t16 tptp.c3)) % 71.42/71.67 (define @t66 () (tptp.divide @t17 tptp.c3)) % 71.42/71.67 (define @t67 () (tptp.divide tptp.c3 tptp.c3)) % 71.42/71.67 (define @t68 () (tptp.divide @t66 @t66)) % 71.42/71.67 (define @t69 () (tptp.divide @t66 @t65)) % 71.42/71.67 (define @t70 () (tptp.divide @t28 tptp.identity)) % 71.42/71.67 (define @t71 () (tptp.divide @t29 @t14)) % 71.42/71.67 (define @t72 () (tptp.divide @t71 tptp.identity)) % 71.42/71.67 (define @t73 () (tptp.divide @t72 @t70)) % 71.42/71.67 (define @t74 () (tptp.divide (tptp.divide @t65 tptp.identity) @t17)) % 71.42/71.67 (define @t75 () (tptp.divide @t16 @t74)) % 71.42/71.67 (define @t76 () (tptp.divide @t75 @t16)) % 71.42/71.67 (define @t77 () (tptp.divide @t16 @t16)) % 71.42/71.67 (define @t78 () (tptp.divide @t76 @t77)) % 71.42/71.67 (define @t79 () (tptp.divide @t44 tptp.identity)) % 71.42/71.67 (define @t80 () (tptp.divide @t46 @t15)) % 71.42/71.67 (define @t81 () (tptp.divide @t80 tptp.identity)) % 71.42/71.67 (define @t82 () (tptp.divide @t28 @t44)) % 71.42/71.67 (define @t83 () (tptp.divide @t16 tptp.b3)) % 71.42/71.67 (define @t84 () (tptp.divide @t83 tptp.identity)) % 71.42/71.67 (define @t85 () (tptp.divide @t84 @t17)) % 71.42/71.67 (define @t86 () (tptp.divide tptp.b3 @t16)) % 71.42/71.67 (define @t87 () (tptp.divide @t17 tptp.b3)) % 71.42/71.67 (define @t88 () (tptp.divide @t87 @t83)) % 71.42/71.67 (define @t89 () (tptp.divide @t16 @t88)) % 71.42/71.67 (define @t90 () (tptp.divide @t89 tptp.identity)) % 71.42/71.67 (define @t91 () (tptp.divide @t90 @t17)) % 71.42/71.67 (define @t92 () (tptp.divide tptp.identity tptp.b3)) % 71.42/71.67 (define @t93 () (tptp.divide @t92 @t83)) % 71.42/71.67 (define @t94 () (tptp.divide tptp.b3 tptp.b3)) % 71.42/71.67 (define @t95 () (tptp.divide @t94 tptp.b3)) % 71.42/71.67 (define @t96 () (tptp.divide @t95 @t83)) % 71.42/71.67 (define @t97 () (tptp.divide @t96 @t93)) % 71.42/71.67 (define @t98 () (tptp.divide tptp.identity @t92)) % 71.42/71.67 (define @t99 () (tptp.divide @t16 @t83)) % 71.42/71.67 (define @t100 () (tptp.divide (tptp.divide (tptp.divide @t16 @t87) @t14) @t35)) % 71.42/71.67 (define @t101 () (tptp.divide @t16 @t100)) % 71.42/71.67 (define @t102 () (tptp.divide @t101 @t83)) % 71.42/71.67 (define @t103 () (tptp.divide @t102 @t99)) % 71.42/71.67 (define @t104 () (tptp.divide @t92 tptp.identity)) % 71.42/71.67 (define @t105 () (tptp.divide @t16 tptp.a3)) % 71.42/71.67 (define @t106 () (tptp.divide @t17 tptp.a3)) % 71.42/71.67 (define @t107 () (tptp.divide @t106 @t106)) % 71.42/71.67 (define @t108 () (tptp.divide @t106 @t105)) % 71.42/71.67 (define @t109 () (tptp.divide tptp.a3 @t16)) % 71.42/71.67 (define @t110 () (tptp.divide (tptp.divide @t105 tptp.identity) @t17)) % 71.42/71.67 (define @t111 () (tptp.divide @t94 @t105)) % 71.42/71.67 (define @t112 () (tptp.divide @t111 tptp.identity)) % 71.42/71.67 (define @t113 () (tptp.divide @t112 @t104)) % 71.42/71.67 (define @t114 () (tptp.divide @t29 tptp.a3)) % 71.42/71.67 (define @t115 () (tptp.divide @t114 @t44)) % 71.42/71.67 (define @t116 () (tptp.divide @t115 @t82)) % 71.42/71.67 (define @t117 () (forall @t7 (= @t1 @t6))) % 71.42/71.67 (assume @p1 @t8) % 71.42/71.67 (assume @p2 (forall (@list @t3 @t1) (= (tptp.multiply @t3 @t1) (tptp.divide @t3 (tptp.divide tptp.identity @t1))))) % 71.42/71.67 (assume @p3 @t11) % 71.42/71.67 (assume @p4 (forall @t10 (= tptp.identity @t5))) % 71.42/71.67 (assume @p5 (not (= @t15 @t13))) % 71.42/71.67 (step @p6 :rule eq-symm :args (@t6 @t1)) % 71.42/71.67 (step @p7 :rule cong :premises (@p6) :args (@t8)) % 71.42/71.67 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 71.42/71.67 (step @p9 :rule bool-eq-false :args (@t22)) % 71.42/71.67 (step @p10 :rule symm :premises (@p9)) % 71.42/71.67 (step @p11 :rule eq-symm :args (@t21 @t13)) % 71.42/71.67 (step @p12 :rule cong :premises (@p11) :args ((not @t23))) % 71.42/71.67 (step @p13 :rule bool-eq-false :args (@t23)) % 71.42/71.67 (step @p14 :rule trans :premises (@p13 @p12)) % 71.42/71.67 (step @p15 :rule trans :premises (@p14 @p10)) % 71.42/71.67 (step @p16 :rule false_intro :premises (@p5)) % 71.42/71.67 (step @p17 :rule refl :args (@t13)) % 71.42/71.67 (step @p18 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t15 tptp.identity))) % 71.42/71.67 (step @p19 :rule symm :premises (@p18)) % 71.42/71.67 (step @p20 :rule refl :args (@t26)) % 71.42/71.67 (step @p21 :rule instantiate :premises (@p4) :args ((@list tptp.identity))) % 71.42/71.67 (step @p22 :rule symm :premises (@p21)) % 71.42/71.67 (step @p23 :rule cong :premises (@p22 @p20) :args ((tptp.divide @t16 @t26))) % 71.42/71.67 (step @p24 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t26 @t16))) % 71.42/71.67 (step @p25 :rule symm :premises (@p24)) % 71.42/71.67 (step @p26 :rule cong :premises (@p21 @p21) :args (@t16)) % 71.42/71.67 (step @p27 :rule refl :args (@t16)) % 71.42/71.67 (step @p28 :rule symm :premises (@p23)) % 71.42/71.67 (step @p29 :rule trans :premises (@p18 @p28)) % 71.42/71.67 (step @p30 :rule cong :premises (@p29 @p27) :args (@t27)) % 71.42/71.67 (step @p31 :rule instantiate :premises (@p4) :args ((@list @t28))) % 71.42/71.67 (step @p32 :rule symm :premises (@p31)) % 71.42/71.67 (step @p33 :rule refl :args (@t28)) % 71.42/71.67 (step @p34 :rule refl :args (@t15)) % 71.42/71.67 (step @p35 :rule instantiate :premises (@p4) :args ((@list @t15))) % 71.42/71.67 (step @p36 :rule symm :premises (@p35)) % 71.42/71.67 (step @p37 :rule cong :premises (@p36 @p34) :args (@t30)) % 71.42/71.67 (step @p38 :rule cong :premises (@p37 @p33) :args (@t31)) % 71.42/71.67 (step @p39 :rule trans :premises (@p38 @p32)) % 71.42/71.67 (step @p40 :rule cong :premises (@p39 @p32) :args (@t32)) % 71.42/71.67 (step @p41 :rule cong :premises (@p34 @p40) :args ((tptp.divide @t15 @t32))) % 71.42/71.67 (step @p42 :rule instantiate :premises (@p8) :args ((@list @t15 @t15 @t28))) % 71.42/71.67 (step @p43 :rule trans :premises (@p42 @p41 @p30)) % 71.42/71.67 (step @p44 :rule cong :premises (@p43 @p26) :args (@t27)) % 71.42/71.67 (step @p45 :rule trans :premises (@p42 @p41 @p44)) % 71.42/71.67 (step @p46 :rule refl :args (tptp.identity)) % 71.42/71.67 (step @p47 :rule cong :premises (@p46 @p45) :args (@t28)) % 71.42/71.67 (step @p48 :rule trans :premises (@p47 @p25)) % 71.42/71.67 (step @p49 :rule cong :premises (@p21 @p48) :args (@t33)) % 71.42/71.67 (step @p50 :rule instantiate :premises (@p8) :args ((@list @t28 @t28 tptp.identity))) % 71.42/71.67 (step @p51 :rule symm :premises (@p50)) % 71.42/71.67 (step @p52 :rule symm :premises (@p49)) % 71.42/71.67 (step @p53 :rule trans :premises (@p18 @p28 @p52)) % 71.42/71.67 (step @p54 :rule cong :premises (@p53 @p22) :args (@t27)) % 71.42/71.67 (step @p55 :rule instantiate :premises (@p2) :args ((@list @t14 tptp.c3))) % 71.42/71.67 (step @p56 :rule symm :premises (@p55)) % 71.42/71.67 (step @p57 :rule refl :args (@t34)) % 71.42/71.67 (step @p58 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t14 tptp.identity))) % 71.42/71.67 (step @p59 :rule symm :premises (@p58)) % 71.42/71.67 (step @p60 :rule refl :args (@t37)) % 71.42/71.67 (step @p61 :rule cong :premises (@p22 @p60) :args ((tptp.divide @t16 @t37))) % 71.42/71.67 (step @p62 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t37 @t16))) % 71.42/71.67 (step @p63 :rule symm :premises (@p62)) % 71.42/71.67 (step @p64 :rule symm :premises (@p61)) % 71.42/71.67 (step @p65 :rule trans :premises (@p58 @p64)) % 71.42/71.67 (step @p66 :rule cong :premises (@p65 @p27) :args (@t38)) % 71.42/71.67 (step @p67 :rule cong :premises (@p22 @p46) :args (@t17)) % 71.42/71.67 (step @p68 :rule trans :premises (@p67 @p22)) % 71.42/71.67 (step @p69 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t14))) % 71.42/71.67 (step @p70 :rule symm :premises (@p69)) % 71.42/71.67 (step @p71 :rule refl :args (@t40)) % 71.42/71.67 (step @p72 :rule cong :premises (@p22 @p71) :args (@t41)) % 71.42/71.67 (step @p73 :rule trans :premises (@p72 @p70)) % 71.42/71.67 (step @p74 :rule cong :premises (@p73 @p46) :args (@t42)) % 71.42/71.67 (step @p75 :rule trans :premises (@p74 @p22)) % 71.42/71.67 (step @p76 :rule cong :premises (@p75 @p68) :args (@t43)) % 71.42/71.67 (step @p77 :rule trans :premises (@p76 @p22)) % 71.42/71.67 (step @p78 :rule cong :premises (@p46 @p77) :args ((tptp.divide tptp.identity @t43))) % 71.42/71.67 (step @p79 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t40 tptp.identity))) % 71.42/71.67 (step @p80 :rule refl :args (@t14)) % 71.42/71.67 (step @p81 :rule cong :premises (@p21 @p80) :args (@t44)) % 71.42/71.67 (step @p82 :rule cong :premises (@p68 @p80) :args (@t39)) % 71.42/71.67 (step @p83 :rule trans :premises (@p82 @p81)) % 71.42/71.67 (step @p84 :rule refl :args (@t39)) % 71.42/71.67 (step @p85 :rule cong :premises (@p84 @p83) :args ((tptp.divide @t39 @t39))) % 71.42/71.67 (step @p86 :rule symm :premises (@p83)) % 71.42/71.67 (step @p87 :rule symm :premises (@p82)) % 71.42/71.67 (step @p88 :rule cong :premises (@p87 @p86) :args (@t45)) % 71.42/71.67 (step @p89 :rule trans :premises (@p88 @p85 @p79 @p78 @p22)) % 71.42/71.67 (step @p90 :rule instantiate :premises (@p4) :args ((@list @t14))) % 71.42/71.67 (step @p91 :rule symm :premises (@p90)) % 71.42/71.67 (step @p92 :rule cong :premises (@p91 @p80) :args (@t47)) % 71.42/71.67 (step @p93 :rule trans :premises (@p92 @p87)) % 71.42/71.67 (step @p94 :rule cong :premises (@p93 @p86) :args (@t48)) % 71.42/71.67 (step @p95 :rule trans :premises (@p94 @p85 @p79 @p78 @p22)) % 71.42/71.67 (step @p96 :rule cong :premises (@p95 @p89) :args (@t49)) % 71.42/71.67 (step @p97 :rule cong :premises (@p80 @p96) :args ((tptp.divide @t14 @t49))) % 71.42/71.67 (step @p98 :rule instantiate :premises (@p8) :args ((@list @t14 @t14 @t35))) % 71.42/71.67 (step @p99 :rule trans :premises (@p98 @p97 @p66)) % 71.42/71.67 (step @p100 :rule cong :premises (@p99 @p26) :args (@t38)) % 71.42/71.67 (step @p101 :rule trans :premises (@p98 @p97 @p100)) % 71.42/71.67 (step @p102 :rule cong :premises (@p46 @p101) :args (@t44)) % 71.42/71.67 (step @p103 :rule trans :premises (@p102 @p63)) % 71.42/71.67 (step @p104 :rule cong :premises (@p21 @p103) :args (@t50)) % 71.42/71.67 (step @p105 :rule symm :premises (@p81)) % 71.42/71.67 (step @p106 :rule cong :premises (@p46 @p105) :args (@t51)) % 71.42/71.67 (step @p107 :rule trans :premises (@p106 @p104 @p61 @p59)) % 71.42/71.67 (step @p108 :rule cong :premises (@p107 @p57) :args (@t52)) % 71.42/71.67 (step @p109 :rule trans :premises (@p108 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71.42/71.67 (step @p331 :rule refl :args (@t100)) % 71.42/71.67 (step @p332 :rule cong :premises (@p22 @p331) :args (@t101)) % 71.42/71.67 (step @p333 :rule trans :premises (@p332 @p330)) % 71.42/71.67 (step @p334 :rule cong :premises (@p333 @p306) :args (@t102)) % 71.42/71.67 (step @p335 :rule trans :premises (@p334 @p305 @p299 @p298 @p22)) % 71.42/71.67 (step @p336 :rule trans :premises (@p335 @p310)) % 71.42/71.67 (step @p337 :rule cong :premises (@p336 @p328) :args (@t103)) % 71.42/71.67 (step @p338 :rule trans :premises (@p337 @p312)) % 71.42/71.67 (step @p339 :rule cong :premises (@p46 @p338) :args ((tptp.divide tptp.identity @t103))) % 71.42/71.67 (step @p340 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t100 @t83))) % 71.42/71.67 (step @p341 :rule instantiate :premises (@p2) :args ((@list tptp.a3 tptp.b3))) % 71.42/71.67 (step @p342 :rule symm :premises (@p341)) % 71.42/71.67 (step @p343 :rule instantiate :premises (@p8) :args ((@list @t87 @t83 tptp.identity))) % 71.42/71.67 (step @p344 :rule symm :premises (@p343)) % 71.42/71.67 (step @p345 :rule cong :premises (@p46 @p307) :args (@t98)) % 71.42/71.67 (step @p346 :rule symm :premises (@p325)) % 71.42/71.67 (step @p347 :rule trans :premises (@p280 @p286 @p346 @p345)) % 71.42/71.67 (step @p348 :rule cong :premises (@p347 @p22) :args (@t86)) % 71.42/71.67 (step @p349 :rule trans :premises (@p318 @p317 @p348)) % 71.42/71.67 (step @p350 :rule symm :premises (@p305)) % 71.42/71.67 (step @p351 :rule symm :premises (@p299)) % 71.42/71.67 (step @p352 :rule symm :premises (@p298)) % 71.42/71.67 (step @p353 :rule trans :premises (@p21 @p352 @p351 @p350)) % 71.42/71.67 (step @p354 :rule cong :premises (@p353 @p301) :args (@t98)) % 71.42/71.67 (step @p355 :rule trans :premises (@p280 @p286 @p346 @p354)) % 71.42/71.67 (step @p356 :rule cong :premises (@p355 @p22) :args (@t86)) % 71.42/71.67 (step @p357 :rule trans :premises (@p318 @p317 @p356)) % 71.42/71.67 (step @p358 :rule cong :premises (@p357 @p349) :args (@t94)) % 71.42/71.67 (step @p359 :rule trans :premises (@p310 @p358)) % 71.42/71.67 (step @p360 :rule cong :premises (@p306 @p359) :args (@t84)) % 71.42/71.67 (step @p361 :rule cong :premises (@p301 @p46) :args (@t104)) % 71.42/71.67 (step @p362 :rule trans :premises (@p361 @p360 @p344 @p326)) % 71.42/71.67 (step @p363 :rule instantiate :premises (@p8) :args ((@list tptp.a3 tptp.a3 @t105))) % 71.42/71.67 (step @p364 :rule symm :premises (@p363)) % 71.42/71.67 (step @p365 :rule refl :args (tptp.a3)) % 71.42/71.67 (step @p366 :rule cong :premises (@p67 @p365) :args (@t106)) % 71.42/71.67 (step @p367 :rule cong :premises (@p22 @p365) :args (@t105)) % 71.42/71.67 (step @p368 :rule trans :premises (@p366 @p367)) % 71.42/71.67 (step @p369 :rule cong :premises (@p368 @p366) :args (@t107)) % 71.42/71.67 (step @p370 :rule symm :premises (@p366)) % 71.42/71.67 (step @p371 :rule refl :args (@t106)) % 71.42/71.67 (step @p372 :rule cong :premises (@p371 @p370) :args (@t108)) % 71.42/71.67 (step @p373 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t108 tptp.identity))) % 71.42/71.67 (step @p374 :rule symm :premises (@p373)) % 71.42/71.67 (step @p375 :rule refl :args (@t108)) % 71.42/71.67 (step @p376 :rule cong :premises (@p21 @p375) :args ((tptp.divide tptp.identity @t108))) % 71.42/71.67 (step @p377 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity tptp.a3))) % 71.42/71.67 (step @p378 :rule trans :premises (@p377 @p376)) % 71.42/71.67 (step @p379 :rule cong :premises (@p378 @p46) :args (@t16)) % 71.42/71.67 (step @p380 :rule trans :premises (@p21 @p379)) % 71.42/71.67 (step @p381 :rule cong :premises (@p380 @p200) :args (@t16)) % 71.42/71.67 (step @p382 :rule trans :premises (@p21 @p381)) % 71.42/71.67 (step @p383 :rule cong :premises (@p46 @p382) :args (@t16)) % 71.42/71.67 (step @p384 :rule trans :premises (@p21 @p383 @p374 @p372 @p369)) % 71.42/71.67 (step @p385 :rule instantiate :premises (@p4) :args ((@list tptp.a3))) % 71.42/71.67 (step @p386 :rule trans :premises (@p22 @p385)) % 71.42/71.67 (step @p387 :rule cong :premises (@p386 @p365) :args (@t105)) % 71.42/71.67 (step @p388 :rule trans :premises (@p366 @p387)) % 71.42/71.67 (step @p389 :rule cong :premises (@p388 @p366) :args (@t107)) % 71.42/71.67 (step @p390 :rule trans :premises (@p21 @p383 @p374 @p372 @p389)) % 71.42/71.67 (step @p391 :rule cong :premises (@p390 @p384) :args (@t16)) % 71.42/71.67 (step @p392 :rule cong :premises (@p365 @p391) :args (@t109)) % 71.42/71.67 (step @p393 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.a3 tptp.identity))) % 71.42/71.67 (step @p394 :rule symm :premises (@p393)) % 71.42/71.67 (step @p395 :rule refl :args (@t110)) % 71.42/71.67 (step @p396 :rule trans :premises (@p249 @p22)) % 71.42/71.67 (step @p397 :rule cong :premises (@p396 @p395) :args ((tptp.divide @t77 @t110))) % 71.42/71.67 (step @p398 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t110 @t16))) % 71.42/71.67 (step @p399 :rule symm :premises (@p398)) % 71.42/71.67 (step @p400 :rule cong :premises (@p21 @p395) :args ((tptp.divide tptp.identity @t110))) % 71.42/71.67 (step @p401 :rule trans :premises (@p393 @p400)) % 71.42/71.67 (step @p402 :rule cong :premises (@p401 @p27) :args (@t109)) % 71.42/71.67 (step @p403 :rule symm :premises (@p392)) % 71.42/71.67 (step @p404 :rule trans :premises (@p363 @p403 @p402)) % 71.42/71.67 (step @p405 :rule cong :premises (@p404 @p26) :args (@t109)) % 71.42/71.67 (step @p406 :rule trans :premises (@p363 @p403 @p405)) % 71.42/71.67 (step @p407 :rule symm :premises (@p385)) % 71.42/71.67 (step @p408 :rule cong :premises (@p407 @p406) :args ((tptp.divide (tptp.divide tptp.a3 tptp.a3) tptp.a3))) % 71.42/71.67 (step @p409 :rule symm :premises (@p367)) % 71.42/71.67 (step @p410 :rule trans :premises (@p409 @p387 @p408 @p399)) % 71.42/71.67 (step @p411 :rule symm :premises (@p396)) % 71.42/71.67 (step @p412 :rule cong :premises (@p411 @p410) :args ((tptp.divide tptp.identity (tptp.divide tptp.identity tptp.a3)))) % 71.42/71.67 (step @p413 :rule cong :premises (@p311 @p367) :args (@t111)) % 71.42/71.67 (step @p414 :rule trans :premises (@p413 @p412 @p397 @p394)) % 71.42/71.67 (step @p415 :rule cong :premises (@p414 @p21) :args (@t112)) % 71.42/71.67 (step @p416 :rule trans :premises (@p415 @p392 @p364)) % 71.42/71.67 (step @p417 :rule cong :premises (@p416 @p362) :args (@t113)) % 71.42/71.67 (step @p418 :rule trans :premises (@p417 @p342)) % 71.42/71.67 (step @p419 :rule cong :premises (@p21 @p307) :args (@t98)) % 71.42/71.67 (step @p420 :rule trans :premises (@p280 @p286 @p346 @p419)) % 71.42/71.67 (step @p421 :rule cong :premises (@p420 @p418) :args ((tptp.divide tptp.b3 @t113))) % 71.42/71.67 (step @p422 :rule instantiate :premises (@p8) :args ((@list tptp.b3 @t105 tptp.identity))) % 71.42/71.67 (step @p423 :rule trans :premises (@p366 @p422 @p421)) % 71.42/71.67 (step @p424 :rule symm :premises (@p387)) % 71.42/71.67 (step @p425 :rule trans :premises (@p36 @p385)) % 71.42/71.67 (step @p426 :rule cong :premises (@p425 @p365) :args (@t114)) % 71.42/71.67 (step @p427 :rule trans :premises (@p426 @p424 @p370)) % 71.42/71.67 (step @p428 :rule trans :premises (@p427 @p423)) % 71.42/71.67 (step @p429 :rule cong :premises (@p428 @p81) :args (@t115)) % 71.42/71.67 (step @p430 :rule trans :premises (@p429 @p340 @p339 @p325 @p283 @p281)) % 71.42/71.67 (step @p431 :rule cong :premises (@p430 @p279) :args (@t116)) % 71.42/71.67 (step @p432 :rule trans :premises (@p431 @p170 @p135 @p168)) % 71.42/71.67 (step @p433 :rule cong :premises (@p34 @p432) :args ((tptp.divide @t15 @t116))) % 71.42/71.67 (step @p434 :rule instantiate :premises (@p8) :args ((@list @t15 tptp.a3 @t44))) % 71.42/71.67 (step @p435 :rule trans :premises (@p434 @p433 @p167)) % 71.42/71.67 (step @p436 :rule cong :premises (@p435 @p134) :args ((tptp.divide tptp.a3 @t56))) % 71.42/71.67 (step @p437 :rule instantiate :premises (@p2) :args ((@list tptp.a3 @t12))) % 71.42/71.67 (step @p438 :rule trans :premises (@p437 @p436)) % 71.42/71.67 (step @p439 :rule instantiate :premises (@p4) :args ((@list @t13))) % 71.42/71.67 (step @p440 :rule symm :premises (@p439)) % 71.42/71.67 (step @p441 :rule cong :premises (@p440 @p438) :args ((tptp.divide (tptp.divide @t13 @t13) @t13))) % 71.42/71.67 (step @p442 :rule trans :premises (@p22 @p439)) % 71.42/71.67 (step @p443 :rule cong :premises (@p442 @p17) :args (@t18)) % 71.42/71.67 (step @p444 :rule trans :premises (@p443 @p441 @p132)) % 71.42/71.67 (step @p445 :rule trans :premises (@p444 @p130)) % 71.42/71.67 (step @p446 :rule cong :premises (@p445 @p46) :args (@t19)) % 71.42/71.67 (step @p447 :rule trans :premises (@p446 @p129 @p51)) % 71.42/71.67 (step @p448 :rule trans :premises (@p447 @p130)) % 71.42/71.67 (step @p449 :rule cong :premises (@p448 @p68) :args (@t20)) % 71.42/71.67 (step @p450 :rule trans :premises (@p449 @p129 @p51)) % 71.42/71.67 (step @p451 :rule cong :premises (@p46 @p450) :args (@t21)) % 71.42/71.67 (step @p452 :rule trans :premises (@p451 @p49 @p23 @p19)) % 71.42/71.67 (step @p453 :rule cong :premises (@p452 @p17) :args (@t23)) % 71.42/71.67 (step @p454 :rule trans :premises (@p453 @p16)) % 71.42/71.67 (step @p455 :rule eq_resolve :premises (@p454 @p15)) % 71.42/71.67 (step @p456 :rule false_elim :premises (@p455)) % 71.42/71.67 (assume-push @p463 @t117) % 71.42/71.67 (step @p458 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t13 tptp.identity))) % 71.42/71.67 (step-pop @p464 :rule scope :premises (@p458)) % 71.42/71.67 (step @p459 :rule process_scope :premises (@p464) :args (@t22)) % 71.42/71.67 (step @p461 :rule implies_elim :premises (@p459)) % 71.42/71.67 (step @p462 false :rule chain_m_resolution :premises (@p461 @p456 @p8) :args (false (@list true false) (@list @t22 @t117))) % 71.42/71.67 ) % 71.42/71.67 % SZS output end Proof % 71.42/71.67 % cvc5 exiting %------------------------------------------------------------------------------