%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP556-1 : TPTP v9.2.1. Bugfixed v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 29.14s 29.33s % Output : Proof 29.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP556-1 : TPTP v9.2.1. Bugfixed v2.7.0. % 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 : n029.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 01:16:32 EDT 2026 % 0.15/0.35 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.51 --- 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... % 21.32/21.58 --- 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... % 29.14/29.33 % SZS status Unsatisfiable % 29.14/29.33 % SZS output start Proof % 29.14/29.33 ( % 29.14/29.33 (declare-sort $$unsorted 0) % 29.14/29.33 (declare-const tptp.b $$unsorted) % 29.14/29.33 (declare-const tptp.a $$unsorted) % 29.14/29.33 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 29.14/29.33 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 29.14/29.33 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 29.14/29.33 (define @t1 () (@var "B" $$unsorted)) % 29.14/29.33 (define @t2 () (@var "C" $$unsorted)) % 29.14/29.33 (define @t3 () (@var "A" $$unsorted)) % 29.14/29.33 (define @t4 () (tptp.divide (tptp.divide @t3 (tptp.inverse (tptp.divide @t1 (tptp.divide @t3 @t2)))) @t2)) % 29.14/29.33 (define @t5 () (forall (@list @t3 @t1 @t2) (= @t4 @t1))) % 29.14/29.33 (define @t6 () (tptp.multiply tptp.b tptp.a)) % 29.14/29.33 (define @t7 () (tptp.multiply tptp.a tptp.b)) % 29.14/29.33 (define @t8 () (= @t7 @t6)) % 29.14/29.33 (define @t9 () (tptp.divide tptp.a tptp.a)) % 29.14/29.33 (define @t10 () (tptp.divide tptp.a @t9)) % 29.14/29.33 (define @t11 () (tptp.inverse @t10)) % 29.14/29.33 (define @t12 () (tptp.divide tptp.a @t11)) % 29.14/29.33 (define @t13 () (tptp.divide tptp.b tptp.a)) % 29.14/29.33 (define @t14 () (tptp.divide tptp.b (tptp.inverse (tptp.divide tptp.a @t13)))) % 29.14/29.33 (define @t15 () (@list tptp.b tptp.a @t9)) % 29.14/29.33 (define @t16 () (tptp.inverse tptp.b)) % 29.14/29.33 (define @t17 () (tptp.inverse tptp.a)) % 29.14/29.33 (define @t18 () (tptp.divide tptp.b tptp.b)) % 29.14/29.33 (define @t19 () (tptp.divide tptp.b (tptp.inverse (tptp.divide tptp.b @t18)))) % 29.14/29.33 (define @t20 () (tptp.divide tptp.b (tptp.inverse (tptp.divide tptp.b @t13)))) % 29.14/29.33 (define @t21 () (tptp.divide tptp.b (tptp.inverse (tptp.divide tptp.a (tptp.divide tptp.b @t16))))) % 29.14/29.33 (define @t22 () (tptp.divide @t12 tptp.a)) % 29.14/29.33 (define @t23 () (tptp.inverse (tptp.divide tptp.b @t22))) % 29.14/29.33 (define @t24 () (tptp.divide @t12 @t23)) % 29.14/29.33 (define @t25 () (tptp.divide tptp.b @t9)) % 29.14/29.33 (define @t26 () (tptp.divide tptp.a (tptp.inverse @t25))) % 29.14/29.33 (define @t27 () (tptp.divide tptp.a (tptp.inverse (tptp.divide tptp.a (tptp.divide tptp.a tptp.b))))) % 29.14/29.33 (define @t28 () (tptp.divide @t19 (tptp.inverse (tptp.divide tptp.b (tptp.divide @t19 @t17))))) % 29.14/29.33 (define @t29 () (tptp.divide tptp.b @t10)) % 29.14/29.33 (define @t30 () (tptp.inverse @t29)) % 29.14/29.33 (define @t31 () (tptp.divide tptp.a @t30)) % 29.14/29.33 (define @t32 () (= tptp.a @t22)) % 29.14/29.33 (define @t33 () (= @t6 (tptp.divide tptp.b @t17))) % 29.14/29.33 (define @t34 () (= tptp.b (tptp.divide @t20 tptp.a))) % 29.14/29.33 (define @t35 () (tptp.divide @t24 tptp.a)) % 29.14/29.33 (define @t36 () (= tptp.b @t35)) % 29.14/29.33 (define @t37 () (tptp.divide @t12 @t22)) % 29.14/29.33 (define @t38 () (tptp.inverse @t37)) % 29.14/29.33 (define @t39 () (= @t12 (tptp.divide (tptp.divide @t12 @t38) tptp.a))) % 29.14/29.33 (define @t40 () (= tptp.a @t10)) % 29.14/29.33 (define @t41 () (tptp.divide tptp.b (tptp.inverse (tptp.divide tptp.a @t18)))) % 29.14/29.33 (define @t42 () (= tptp.a (tptp.divide @t41 tptp.b))) % 29.14/29.33 (define @t43 () (tptp.divide @t14 tptp.a)) % 29.14/29.33 (define @t44 () (= tptp.a @t43)) % 29.14/29.33 (define @t45 () (tptp.divide @t26 tptp.a)) % 29.14/29.33 (define @t46 () (= tptp.b @t45)) % 29.14/29.33 (define @t47 () (tptp.divide @t27 tptp.b)) % 29.14/29.33 (define @t48 () (= tptp.a @t47)) % 29.14/29.33 (define @t49 () (tptp.divide tptp.a @t16)) % 29.14/29.33 (define @t50 () (= @t7 @t49)) % 29.14/29.33 (define @t51 () (tptp.divide @t21 @t16)) % 29.14/29.33 (define @t52 () (= tptp.a @t51)) % 29.14/29.33 (define @t53 () (tptp.divide @t28 @t17)) % 29.14/29.33 (define @t54 () (= tptp.b @t53)) % 29.14/29.33 (define @t55 () (tptp.divide @t20 @t51)) % 29.14/29.33 (define @t56 () (tptp.inverse @t55)) % 29.14/29.33 (define @t57 () (tptp.divide @t21 @t56)) % 29.14/29.33 (define @t58 () (tptp.divide @t57 @t16)) % 29.14/29.33 (define @t59 () (= @t20 @t58)) % 29.14/29.33 (define @t60 () (= @t24 (tptp.divide (tptp.divide @t21 (tptp.inverse (tptp.divide @t24 @t51))) @t16))) % 29.14/29.33 (define @t61 () (tptp.divide @t26 @t51)) % 29.14/29.33 (define @t62 () (tptp.inverse @t61)) % 29.14/29.33 (define @t63 () (tptp.divide @t21 @t62)) % 29.14/29.33 (define @t64 () (tptp.divide @t63 @t16)) % 29.14/29.33 (define @t65 () (= @t26 @t64)) % 29.14/29.33 (define @t66 () (tptp.divide @t14 @t22)) % 29.14/29.33 (define @t67 () (tptp.inverse @t66)) % 29.14/29.33 (define @t68 () (tptp.divide @t12 @t67)) % 29.14/29.33 (define @t69 () (tptp.divide @t68 tptp.a)) % 29.14/29.33 (define @t70 () (= @t14 @t69)) % 29.14/29.33 (define @t71 () (tptp.divide @t27 @t53)) % 29.14/29.33 (define @t72 () (tptp.inverse @t71)) % 29.14/29.33 (define @t73 () (tptp.divide @t28 @t72)) % 29.14/29.33 (define @t74 () (tptp.divide @t73 @t17)) % 29.14/29.33 (define @t75 () (= @t27 @t74)) % 29.14/29.33 (define @t76 () (tptp.divide @t31 @t9)) % 29.14/29.33 (define @t77 () (= tptp.b @t76)) % 29.14/29.33 (define @t78 () (= @t31 (tptp.divide (tptp.divide tptp.a (tptp.inverse @t76)) tptp.a))) % 29.14/29.33 (define @t79 () (= @t27 (tptp.divide (tptp.divide tptp.a (tptp.inverse (tptp.divide @t27 (tptp.divide tptp.a @t23)))) @t23))) % 29.14/29.33 (define @t80 () (tptp.divide @t41 @t53)) % 29.14/29.33 (define @t81 () (tptp.inverse @t80)) % 29.14/29.33 (define @t82 () (tptp.divide tptp.b (tptp.inverse (tptp.divide tptp.a (tptp.divide tptp.b @t38))))) % 29.14/29.33 (define @t83 () (@list @t82 @t12 @t17)) % 29.14/29.33 (define @t84 () (tptp.divide @t82 @t38)) % 29.14/29.33 (define @t85 () (@list tptp.b tptp.a @t38)) % 29.14/29.33 (define @t86 () (tptp.divide tptp.a @t17)) % 29.14/29.33 (define @t87 () (tptp.divide tptp.b (tptp.inverse (tptp.divide tptp.a @t25)))) % 29.14/29.33 (define @t88 () (tptp.divide @t87 @t9)) % 29.14/29.33 (define @t89 () (tptp.inverse @t88)) % 29.14/29.33 (define @t90 () (tptp.divide tptp.a @t89)) % 29.14/29.33 (define @t91 () (tptp.divide @t90 tptp.a)) % 29.14/29.33 (define @t92 () (@list tptp.a @t87 tptp.a)) % 29.14/29.33 (define @t93 () (and @t32 @t33 @t34 @t36 @t39 @t40 @t42 @t44 @t46 @t48 @t50 @t52 @t54 @t59 @t60 @t65 @t70 @t75 @t77 @t78 @t79)) % 29.14/29.33 (define @t94 () (not @t70)) % 29.14/29.33 (define @t95 () (not @t44)) % 29.14/29.33 (define @t96 () (not @t40)) % 29.14/29.33 (define @t97 () (not @t39)) % 29.14/29.33 (define @t98 () (not @t32)) % 29.14/29.33 (define @t99 () (= tptp.a @t88)) % 29.14/29.33 (define @t100 () (= @t87 @t91)) % 29.14/29.33 (define @t101 () (= tptp.a @t84)) % 29.14/29.33 (define @t102 () (= @t12 (tptp.divide (tptp.divide @t82 (tptp.inverse (tptp.divide @t12 (tptp.divide @t82 @t17)))) @t17))) % 29.14/29.33 (define @t103 () (and @t32 @t39 @t44 @t70 @t99 @t100 @t101 @t102)) % 29.14/29.33 (assume @p1 @t5) % 29.14/29.33 (assume @p2 (forall (@list @t3 @t1) (= (tptp.multiply @t3 @t1) (tptp.divide @t3 (tptp.inverse @t1))))) % 29.14/29.33 (assume @p3 (not @t8)) % 29.14/29.33 (step @p4 :rule eq-symm :args (@t4 @t1)) % 29.14/29.33 (step @p5 :rule cong :premises (@p4) :args (@t5)) % 29.14/29.33 (step @p6 :rule eq_resolve :premises (@p1 @p5)) % 29.14/29.33 (step @p7 :rule instantiate :premises (@p6) :args ((@list tptp.a tptp.a tptp.a))) % 29.14/29.33 (step @p8 :rule instantiate :premises (@p6) :args ((@list @t12 @t12 tptp.a))) % 29.14/29.33 (step @p9 :rule instantiate :premises (@p6) :args ((@list tptp.b tptp.a tptp.a))) % 29.14/29.33 (step @p10 :rule instantiate :premises (@p6) :args ((@list @t12 @t14 tptp.a))) % 29.14/29.33 (step @p11 :rule instantiate :premises (@p6) :args (@t15)) % 29.14/29.33 (step @p12 :rule instantiate :premises (@p2) :args ((@list tptp.b tptp.a))) % 29.14/29.33 (step @p13 :rule instantiate :premises (@p6) :args ((@list tptp.b tptp.b tptp.a))) % 29.14/29.33 (step @p14 :rule instantiate :premises (@p6) :args ((@list @t12 tptp.b tptp.a))) % 29.14/29.33 (step @p15 :rule instantiate :premises (@p6) :args ((@list tptp.b tptp.a tptp.b))) % 29.14/29.33 (step @p16 :rule instantiate :premises (@p6) :args ((@list tptp.a tptp.b tptp.a))) % 29.14/29.33 (step @p17 :rule instantiate :premises (@p6) :args ((@list tptp.a tptp.a tptp.b))) % 29.14/29.33 (step @p18 :rule instantiate :premises (@p2) :args ((@list tptp.a tptp.b))) % 29.14/29.33 (step @p19 :rule instantiate :premises (@p6) :args ((@list tptp.b tptp.a @t16))) % 29.14/29.33 (step @p20 :rule instantiate :premises (@p6) :args ((@list @t19 tptp.b @t17))) % 29.14/29.33 (step @p21 :rule instantiate :premises (@p6) :args ((@list @t21 @t20 @t16))) % 29.14/29.33 (step @p22 :rule instantiate :premises (@p6) :args ((@list @t21 @t24 @t16))) % 29.14/29.33 (step @p23 :rule instantiate :premises (@p6) :args ((@list @t21 @t26 @t16))) % 29.14/29.33 (step @p24 :rule instantiate :premises (@p6) :args ((@list @t28 @t27 @t17))) % 29.14/29.33 (step @p25 :rule instantiate :premises (@p6) :args ((@list tptp.a tptp.b @t9))) % 29.14/29.33 (step @p26 :rule instantiate :premises (@p6) :args ((@list tptp.a @t31 tptp.a))) % 29.14/29.33 (step @p27 :rule instantiate :premises (@p6) :args ((@list tptp.a @t27 @t23))) % 29.14/29.33 (assume-push @p270 @t32) % 29.14/29.33 (assume-push @p271 @t33) % 29.14/29.33 (assume-push @p272 @t34) % 29.14/29.33 (assume-push @p273 @t36) % 29.14/29.33 (assume-push @p274 @t39) % 29.14/29.33 (assume-push @p275 @t40) % 29.14/29.33 (assume-push @p276 @t42) % 29.14/29.33 (assume-push @p277 @t44) % 29.14/29.33 (assume-push @p278 @t46) % 29.14/29.33 (assume-push @p279 @t48) % 29.14/29.33 (assume-push @p280 @t50) % 29.14/29.33 (assume-push @p281 @t52) % 29.14/29.33 (assume-push @p282 @t54) % 29.14/29.33 (assume-push @p283 @t59) % 29.14/29.33 (assume-push @p284 @t60) % 29.14/29.33 (assume-push @p285 @t65) % 29.14/29.33 (assume-push @p286 @t70) % 29.14/29.33 (assume-push @p287 @t75) % 29.14/29.33 (assume-push @p288 @t77) % 29.14/29.33 (assume-push @p289 @t78) % 29.14/29.33 (assume-push @p290 @t79) % 29.14/29.33 (assume-push @p291 @t33) % 29.14/29.33 (assume-push @p292 @t54) % 29.14/29.33 (assume-push @p293 @t42) % 29.14/29.33 (assume-push @p294 @t48) % 29.14/29.33 (assume-push @p295 @t75) % 29.14/29.33 (assume-push @p296 @t79) % 29.14/29.33 (assume-push @p297 @t32) % 29.14/29.33 (assume-push @p298 @t40) % 29.14/29.33 (assume-push @p299 @t78) % 29.14/29.33 (assume-push @p300 @t77) % 29.14/29.33 (assume-push @p301 @t52) % 29.14/29.33 (assume-push @p302 @t46) % 29.14/29.33 (assume-push @p303 @t34) % 29.14/29.33 (assume-push @p304 @t59) % 29.14/29.33 (assume-push @p305 @t65) % 29.14/29.33 (assume-push @p306 @t39) % 29.14/29.33 (assume-push @p307 @t44) % 29.14/29.33 (assume-push @p308 @t70) % 29.14/29.33 (assume-push @p309 @t60) % 29.14/29.33 (assume-push @p310 @t36) % 29.14/29.33 (assume-push @p311 @t50) % 29.14/29.33 (step @p70 :rule symm :premises (@p12)) % 29.14/29.33 (step @p71 :rule refl :args (@t17)) % 29.14/29.33 (step @p72 :rule symm :premises (@p20)) % 29.14/29.33 (step @p73 :rule symm :premises (@p15)) % 29.14/29.33 (step @p74 :rule refl :args (@t41)) % 29.14/29.33 (step @p75 :rule cong :premises (@p74 @p72) :args (@t80)) % 29.14/29.33 (step @p76 :rule trans :premises (@p75 @p73)) % 29.14/29.33 (step @p77 :rule cong :premises (@p76) :args (@t81)) % 29.14/29.33 (step @p78 :rule refl :args (@t28)) % 29.14/29.33 (step @p79 :rule cong :premises (@p78 @p77) :args ((tptp.divide @t28 @t81))) % 29.14/29.33 (step @p80 :rule symm :premises (@p77)) % 29.14/29.33 (step @p81 :rule symm :premises (@p17)) % 29.14/29.33 (step @p82 :rule refl :args (@t27)) % 29.14/29.33 (step @p83 :rule cong :premises (@p82 @p72) :args (@t71)) % 29.14/29.33 (step @p84 :rule trans :premises (@p83 @p81)) % 29.14/29.33 (step @p85 :rule cong :premises (@p84) :args (@t72)) % 29.14/29.33 (step @p86 :rule trans :premises (@p85 @p80)) % 29.14/29.33 (step @p87 :rule cong :premises (@p78 @p86) :args (@t73)) % 29.14/29.33 (step @p88 :rule trans :premises (@p87 @p79 @p72)) % 29.14/29.33 (step @p89 :rule cong :premises (@p88 @p71) :args (@t74)) % 29.14/29.33 (step @p90 :rule symm :premises (@p27)) % 29.14/29.33 (step @p91 :rule refl :args (@t23)) % 29.14/29.33 (step @p92 :rule refl :args (@t9)) % 29.14/29.33 (step @p93 :rule symm :premises (@p9)) % 29.14/29.33 (step @p94 :rule refl :args (tptp.a)) % 29.14/29.33 (step @p95 :rule symm :premises (@p10)) % 29.14/29.33 (step @p96 :rule refl :args (@t12)) % 29.14/29.33 (step @p97 :rule cong :premises (@p96 @p7) :args (@t22)) % 29.14/29.33 (step @p98 :rule trans :premises (@p7 @p97)) % 29.14/29.33 (step @p99 :rule cong :premises (@p98) :args (@t17)) % 29.14/29.33 (step @p100 :rule symm :premises (@p7)) % 29.14/29.33 (step @p101 :rule refl :args (@t14)) % 29.14/29.33 (step @p102 :rule cong :premises (@p101 @p100) :args (@t66)) % 29.14/29.33 (step @p103 :rule trans :premises (@p102 @p93)) % 29.14/29.33 (step @p104 :rule cong :premises (@p103) :args (@t67)) % 29.14/29.33 (step @p105 :rule trans :premises (@p104 @p99)) % 29.14/29.33 (step @p106 :rule cong :premises (@p96 @p105) :args (@t68)) % 29.14/29.33 (step @p107 :rule cong :premises (@p106 @p94) :args (@t69)) % 29.14/29.33 (step @p108 :rule symm :premises (@p107)) % 29.14/29.33 (step @p109 :rule instantiate :premises (@p6) :args (@t83)) % 29.14/29.33 (step @p110 :rule symm :premises (@p109)) % 29.14/29.33 (step @p111 :rule cong :premises (@p96 @p100) :args (@t37)) % 29.14/29.34 (step @p112 :rule trans :premises (@p111 @p100)) % 29.14/29.34 (step @p113 :rule cong :premises (@p112) :args (@t38)) % 29.14/29.34 (step @p114 :rule refl :args (@t82)) % 29.14/29.34 (step @p115 :rule cong :premises (@p114 @p113) :args (@t84)) % 29.14/29.34 (step @p116 :rule instantiate :premises (@p6) :args (@t85)) % 29.14/29.34 (step @p117 :rule trans :premises (@p116 @p115)) % 29.14/29.34 (step @p118 :rule symm :premises (@p8)) % 29.14/29.34 (step @p119 :rule trans :premises (@p10 @p107 @p118)) % 29.14/29.34 (step @p120 :rule cong :premises (@p119 @p117) :args (@t43)) % 29.14/29.34 (step @p121 :rule trans :premises (@p9 @p120)) % 29.14/29.34 (step @p122 :rule cong :premises (@p121) :args (@t17)) % 29.14/29.34 (step @p123 :rule trans :premises (@p113 @p122)) % 29.14/29.34 (step @p124 :rule cong :premises (@p114 @p123) :args (@t84)) % 29.14/29.34 (step @p125 :rule trans :premises (@p116 @p124)) % 29.14/29.34 (step @p126 :rule cong :premises (@p125 @p71) :args (@t86)) % 29.14/29.34 (step @p127 :rule symm :premises (@p11)) % 29.14/29.34 (step @p128 :rule cong :premises (@p127) :args (@t89)) % 29.14/29.34 (step @p129 :rule cong :premises (@p94 @p128) :args (@t90)) % 29.14/29.34 (step @p130 :rule trans :premises (@p129 @p126 @p110 @p8 @p108 @p95)) % 29.14/29.34 (step @p131 :rule cong :premises (@p130 @p94) :args (@t91)) % 29.14/29.34 (step @p132 :rule instantiate :premises (@p6) :args (@t92)) % 29.14/29.34 (step @p133 :rule trans :premises (@p132 @p131 @p93)) % 29.14/29.34 (step @p134 :rule cong :premises (@p133 @p92) :args (@t88)) % 29.14/29.34 (step @p135 :rule instantiate :premises (@p6) :args (@t15)) % 29.14/29.34 (step @p136 :rule trans :premises (@p135 @p134)) % 29.14/29.34 (step @p137 :rule symm :premises (@p136)) % 29.14/29.34 (step @p138 :rule trans :premises (@p137 @p7)) % 29.14/29.34 (step @p139 :rule refl :args (tptp.b)) % 29.14/29.34 (step @p140 :rule cong :premises (@p139 @p138) :args (@t29)) % 29.14/29.34 (step @p141 :rule cong :premises (@p140) :args (@t30)) % 29.14/29.34 (step @p142 :rule cong :premises (@p94 @p141) :args (@t31)) % 29.14/29.34 (step @p143 :rule symm :premises (@p26)) % 29.14/29.34 (step @p144 :rule cong :premises (@p25) :args (@t16)) % 29.14/29.34 (step @p145 :rule cong :premises (@p94 @p144) :args (@t49)) % 29.14/29.34 (step @p146 :rule refl :args (@t16)) % 29.14/29.34 (step @p147 :rule symm :premises (@p19)) % 29.14/29.34 (step @p148 :rule symm :premises (@p16)) % 29.14/29.34 (step @p149 :rule refl :args (@t26)) % 29.14/29.34 (step @p150 :rule cong :premises (@p149 @p147) :args (@t61)) % 29.14/29.34 (step @p151 :rule trans :premises (@p150 @p148)) % 29.14/29.34 (step @p152 :rule cong :premises (@p151) :args (@t62)) % 29.14/29.34 (step @p153 :rule refl :args (@t21)) % 29.14/29.34 (step @p154 :rule cong :premises (@p153 @p152) :args (@t63)) % 29.14/29.34 (step @p155 :rule symm :premises (@p152)) % 29.14/29.34 (step @p156 :rule symm :premises (@p13)) % 29.14/29.34 (step @p157 :rule refl :args (@t20)) % 29.14/29.34 (step @p158 :rule cong :premises (@p157 @p147) :args (@t55)) % 29.14/29.34 (step @p159 :rule trans :premises (@p158 @p156)) % 29.14/29.34 (step @p160 :rule cong :premises (@p159) :args (@t56)) % 29.14/29.34 (step @p161 :rule trans :premises (@p160 @p155)) % 29.14/29.34 (step @p162 :rule cong :premises (@p153 @p161) :args (@t57)) % 29.14/29.34 (step @p163 :rule trans :premises (@p162 @p154 @p147)) % 29.14/29.34 (step @p164 :rule cong :premises (@p163 @p146) :args (@t58)) % 29.14/29.34 (step @p165 :rule trans :premises (@p21 @p164 @p145)) % 29.14/29.34 (step @p166 :rule symm :premises (@p21)) % 29.14/29.34 (step @p167 :rule symm :premises (@p164)) % 29.14/29.34 (step @p168 :rule trans :premises (@p154 @p147)) % 29.14/29.34 (step @p169 :rule cong :premises (@p168 @p146) :args (@t64)) % 29.14/29.34 (step @p170 :rule trans :premises (@p23 @p169 @p167 @p166)) % 29.14/29.34 (step @p171 :rule trans :premises (@p170 @p165)) % 29.14/29.34 (step @p172 :rule cong :premises (@p171 @p94) :args (@t45)) % 29.14/29.34 (step @p173 :rule trans :premises (@p16 @p172 @p143 @p142)) % 29.14/29.34 (step @p174 :rule cong :premises (@p82 @p173) :args (@t47)) % 29.14/29.34 (step @p175 :rule trans :premises (@p17 @p174)) % 29.14/29.34 (step @p176 :rule cong :premises (@p175) :args (@t17)) % 29.14/29.34 (step @p177 :rule cong :premises (@p94 @p176) :args (@t86)) % 29.14/29.34 (step @p178 :rule cong :premises (@p137) :args (@t11)) % 29.14/29.34 (step @p179 :rule cong :premises (@p94 @p178) :args (@t12)) % 29.14/29.34 (step @p180 :rule trans :premises (@p10 @p107 @p118 @p179 @p177)) % 29.14/29.34 (step @p181 :rule trans :premises (@p8 @p108 @p95)) % 29.14/29.34 (step @p182 :rule trans :premises (@p181 @p180)) % 29.14/29.34 (step @p183 :rule cong :premises (@p182 @p91) :args (@t24)) % 29.14/29.34 (step @p184 :rule symm :premises (@p22)) % 29.14/29.34 (step @p185 :rule refl :args (@t24)) % 29.14/29.34 (step @p186 :rule cong :premises (@p185 @p19) :args (@t35)) % 29.14/29.34 (step @p187 :rule trans :premises (@p14 @p186)) % 29.14/29.34 (step @p188 :rule cong :premises (@p187) :args (@t16)) % 29.14/29.34 (step @p189 :rule trans :premises (@p152 @p188)) % 29.14/29.34 (step @p190 :rule cong :premises (@p153 @p189) :args (@t63)) % 29.14/29.34 (step @p191 :rule symm :premises (@p154)) % 29.14/29.34 (step @p192 :rule trans :premises (@p19 @p191 @p190)) % 29.14/29.34 (step @p193 :rule cong :premises (@p192 @p146) :args (@t49)) % 29.14/29.34 (step @p194 :rule trans :premises (@p18 @p193 @p184 @p183 @p90 @p24 @p89 @p70)) % 29.14/29.34 (step-pop @p312 :rule scope :premises (@p194)) % 29.14/29.34 (step-pop @p313 :rule scope :premises (@p312)) % 29.14/29.34 (step-pop @p314 :rule scope :premises (@p313)) % 29.14/29.34 (step-pop @p315 :rule scope :premises (@p314)) % 29.14/29.34 (step-pop @p316 :rule scope :premises (@p315)) % 29.14/29.34 (step-pop @p317 :rule scope :premises (@p316)) % 29.14/29.34 (step-pop @p318 :rule scope :premises (@p317)) % 29.14/29.34 (step-pop @p319 :rule scope :premises (@p318)) % 29.14/29.34 (step-pop @p320 :rule scope :premises (@p319)) % 29.14/29.34 (step-pop @p321 :rule scope :premises (@p320)) % 29.14/29.34 (step-pop @p322 :rule scope :premises (@p321)) % 29.14/29.34 (step-pop @p323 :rule scope :premises (@p322)) % 29.14/29.34 (step-pop @p324 :rule scope :premises (@p323)) % 29.14/29.34 (step-pop @p325 :rule scope :premises (@p324)) % 29.14/29.34 (step-pop @p326 :rule scope :premises (@p325)) % 29.14/29.34 (step-pop @p327 :rule scope :premises (@p326)) % 29.14/29.34 (step-pop @p328 :rule scope :premises (@p327)) % 29.14/29.34 (step-pop @p329 :rule scope :premises (@p328)) % 29.14/29.34 (step-pop @p330 :rule scope :premises (@p329)) % 29.14/29.34 (step-pop @p331 :rule scope :premises (@p330)) % 29.14/29.34 (step-pop @p332 :rule scope :premises (@p331)) % 29.14/29.34 (step @p195 :rule process_scope :premises (@p332) :args (@t8)) % 29.14/29.34 (step @p92 :rule refl :args (@t9)) % 29.14/29.34 (step @p93 :rule symm :premises (@p9)) % 29.14/29.34 (step @p94 :rule refl :args (tptp.a)) % 29.14/29.34 (step @p95 :rule symm :premises (@p10)) % 29.14/29.34 (step @p96 :rule refl :args (@t12)) % 29.14/29.34 (step @p97 :rule cong :premises (@p96 @p7) :args (@t22)) % 29.14/29.34 (step @p98 :rule trans :premises (@p7 @p97)) % 29.14/29.34 (step @p99 :rule cong :premises (@p98) :args (@t17)) % 29.14/29.34 (step @p100 :rule symm :premises (@p7)) % 29.14/29.34 (step @p101 :rule refl :args (@t14)) % 29.14/29.34 (step @p102 :rule cong :premises (@p101 @p100) :args (@t66)) % 29.14/29.34 (step @p103 :rule trans :premises (@p102 @p93)) % 29.14/29.34 (step @p104 :rule cong :premises (@p103) :args (@t67)) % 29.14/29.34 (step @p105 :rule trans :premises (@p104 @p99)) % 29.14/29.34 (step @p106 :rule cong :premises (@p96 @p105) :args (@t68)) % 29.14/29.34 (step @p107 :rule cong :premises (@p106 @p94) :args (@t69)) % 29.14/29.34 (step @p108 :rule symm :premises (@p107)) % 29.14/29.34 (step @p109 :rule instantiate :premises (@p6) :args (@t83)) % 29.14/29.34 (step @p110 :rule symm :premises (@p109)) % 29.14/29.34 (step @p71 :rule refl :args (@t17)) % 29.14/29.34 (step @p111 :rule cong :premises (@p96 @p100) :args (@t37)) % 29.14/29.34 (step @p112 :rule trans :premises (@p111 @p100)) % 29.14/29.34 (step @p113 :rule cong :premises (@p112) :args (@t38)) % 29.14/29.34 (step @p114 :rule refl :args (@t82)) % 29.14/29.34 (step @p115 :rule cong :premises (@p114 @p113) :args (@t84)) % 29.14/29.34 (step @p116 :rule instantiate :premises (@p6) :args (@t85)) % 29.14/29.34 (step @p117 :rule trans :premises (@p116 @p115)) % 29.14/29.34 (step @p118 :rule symm :premises (@p8)) % 29.14/29.34 (step @p119 :rule trans :premises (@p10 @p107 @p118)) % 29.14/29.34 (step @p120 :rule cong :premises (@p119 @p117) :args (@t43)) % 29.14/29.34 (step @p121 :rule trans :premises (@p9 @p120)) % 29.14/29.34 (step @p122 :rule cong :premises (@p121) :args (@t17)) % 29.14/29.34 (step @p123 :rule trans :premises (@p113 @p122)) % 29.14/29.34 (step @p124 :rule cong :premises (@p114 @p123) :args (@t84)) % 29.14/29.34 (step @p125 :rule trans :premises (@p116 @p124)) % 29.14/29.34 (step @p126 :rule cong :premises (@p125 @p71) :args (@t86)) % 29.14/29.34 (step @p127 :rule symm :premises (@p11)) % 29.14/29.34 (step @p128 :rule cong :premises (@p127) :args (@t89)) % 29.14/29.34 (step @p129 :rule cong :premises (@p94 @p128) :args (@t90)) % 29.14/29.34 (step @p130 :rule trans :premises (@p129 @p126 @p110 @p8 @p108 @p95)) % 29.14/29.34 (step @p131 :rule cong :premises (@p130 @p94) :args (@t91)) % 29.14/29.34 (step @p132 :rule instantiate :premises (@p6) :args (@t92)) % 29.14/29.34 (step @p133 :rule trans :premises (@p132 @p131 @p93)) % 29.14/29.34 (step @p134 :rule cong :premises (@p133 @p92) :args (@t88)) % 29.14/29.34 (step @p135 :rule instantiate :premises (@p6) :args (@t15)) % 29.14/29.34 (step @p217 :rule trans :premises (@p135 @p134)) % 29.14/29.34 (step @p218 :rule and_intro :premises (@p12 @p20 @p15 @p17 @p24 @p27 @p7 @p217 @p26 @p25 @p19 @p16 @p13 @p21 @p23 @p8 @p9 @p10 @p22 @p14 @p18)) % 29.14/29.34 (step @p219 :rule modus_ponens :premises (@p218 @p195)) % 29.14/29.34 (step-pop @p333 :rule scope :premises (@p219)) % 29.14/29.34 (step-pop @p334 :rule scope :premises (@p333)) % 29.14/29.34 (step-pop @p335 :rule scope :premises (@p334)) % 29.14/29.34 (step-pop @p336 :rule scope :premises (@p335)) % 29.14/29.34 (step-pop @p337 :rule scope :premises (@p336)) % 29.14/29.34 (step-pop @p338 :rule scope :premises (@p337)) % 29.14/29.34 (step-pop @p339 :rule scope :premises (@p338)) % 29.14/29.34 (step-pop @p340 :rule scope :premises (@p339)) % 29.14/29.34 (step-pop @p341 :rule scope :premises (@p340)) % 29.14/29.34 (step-pop @p342 :rule scope :premises (@p341)) % 29.14/29.34 (step-pop @p343 :rule scope :premises (@p342)) % 29.14/29.34 (step-pop @p344 :rule scope :premises (@p343)) % 29.14/29.34 (step-pop @p345 :rule scope :premises (@p344)) % 29.14/29.34 (step-pop @p346 :rule scope :premises (@p345)) % 29.14/29.34 (step-pop @p347 :rule scope :premises (@p346)) % 29.14/29.34 (step-pop @p348 :rule scope :premises (@p347)) % 29.14/29.34 (step-pop @p349 :rule scope :premises (@p348)) % 29.14/29.34 (step-pop @p350 :rule scope :premises (@p349)) % 29.14/29.34 (step-pop @p351 :rule scope :premises (@p350)) % 29.14/29.34 (step-pop @p352 :rule scope :premises (@p351)) % 29.14/29.34 (step-pop @p353 :rule scope :premises (@p352)) % 29.14/29.34 (step @p220 :rule process_scope :premises (@p353) :args (@t8)) % 29.14/29.34 (step @p242 :rule implies_elim :premises (@p220)) % 29.14/29.34 (step @p243 :rule cnf_and_neg :args (@t93)) % 29.14/29.34 (step @p244 :rule resolution :premises (@p243 @p242) :args (true @t93)) % 29.14/29.34 (step @p245 :rule reordering :premises (@p244) :args ((or @t8 @t98 (not @t33) (not @t34) (not @t36) @t97 @t96 (not @t42) @t95 (not @t46) (not @t48) (not @t50) (not @t52) (not @t54) (not @t59) (not @t60) (not @t65) @t94 (not @t75) (not @t77) (not @t78) (not @t79)))) % 29.14/29.34 (step @p246 :rule chain_m_resolution :premises (@p245 @p27 @p26 @p25 @p24 @p10 @p23 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p9 @p15 @p8 @p14 @p13 @p12 @p7 @p3) :args (@t96 (@list false false false false false false false false false false false false false false false false false false false false true) (@list @t79 @t78 @t77 @t75 @t70 @t65 @t60 @t59 @t54 @t52 @t50 @t48 @t46 @t44 @t42 @t39 @t36 @t34 @t33 @t32 @t8))) % 29.14/29.34 (step @p132 :rule instantiate :premises (@p6) :args (@t92)) % 29.14/29.34 (step @p116 :rule instantiate :premises (@p6) :args (@t85)) % 29.14/29.34 (step @p109 :rule instantiate :premises (@p6) :args (@t83)) % 29.14/29.34 (assume-push @p354 @t32) % 29.14/29.34 (assume-push @p355 @t39) % 29.14/29.34 (assume-push @p356 @t44) % 29.14/29.34 (assume-push @p357 @t70) % 29.14/29.34 (assume-push @p358 @t99) % 29.14/29.34 (assume-push @p359 @t100) % 29.14/29.34 (assume-push @p360 @t101) % 29.14/29.34 (assume-push @p361 @t102) % 29.14/29.34 (step @p92 :rule refl :args (@t9)) % 29.14/29.34 (step @p93 :rule symm :premises (@p9)) % 29.14/29.34 (step @p94 :rule refl :args (tptp.a)) % 29.14/29.34 (step @p95 :rule symm :premises (@p10)) % 29.14/29.34 (step @p96 :rule refl :args (@t12)) % 29.14/29.34 (step @p97 :rule cong :premises (@p96 @p7) :args (@t22)) % 29.14/29.34 (step @p98 :rule trans :premises (@p7 @p97)) % 29.14/29.34 (step @p99 :rule cong :premises (@p98) :args (@t17)) % 29.14/29.34 (step @p100 :rule symm :premises (@p7)) % 29.14/29.34 (step @p101 :rule refl :args (@t14)) % 29.14/29.34 (step @p102 :rule cong :premises (@p101 @p100) :args (@t66)) % 29.14/29.34 (step @p103 :rule trans :premises (@p102 @p93)) % 29.14/29.34 (step @p104 :rule cong :premises (@p103) :args (@t67)) % 29.14/29.34 (step @p105 :rule trans :premises (@p104 @p99)) % 29.14/29.34 (step @p106 :rule cong :premises (@p96 @p105) :args (@t68)) % 29.14/29.34 (step @p107 :rule cong :premises (@p106 @p94) :args (@t69)) % 29.14/29.34 (step @p108 :rule symm :premises (@p107)) % 29.14/29.34 (step @p110 :rule symm :premises (@p109)) % 29.14/29.34 (step @p71 :rule refl :args (@t17)) % 29.14/29.34 (step @p111 :rule cong :premises (@p96 @p100) :args (@t37)) % 29.14/29.34 (step @p112 :rule trans :premises (@p111 @p100)) % 29.14/29.34 (step @p113 :rule cong :premises (@p112) :args (@t38)) % 29.14/29.34 (step @p114 :rule refl :args (@t82)) % 29.14/29.34 (step @p115 :rule cong :premises (@p114 @p113) :args (@t84)) % 29.14/29.34 (step @p117 :rule trans :premises (@p116 @p115)) % 29.14/29.34 (step @p118 :rule symm :premises (@p8)) % 29.14/29.34 (step @p119 :rule trans :premises (@p10 @p107 @p118)) % 29.14/29.34 (step @p120 :rule cong :premises (@p119 @p117) :args (@t43)) % 29.14/29.34 (step @p121 :rule trans :premises (@p9 @p120)) % 29.14/29.34 (step @p122 :rule cong :premises (@p121) :args (@t17)) % 29.14/29.34 (step @p123 :rule trans :premises (@p113 @p122)) % 29.14/29.34 (step @p124 :rule cong :premises (@p114 @p123) :args (@t84)) % 29.14/29.34 (step @p125 :rule trans :premises (@p116 @p124)) % 29.14/29.34 (step @p126 :rule cong :premises (@p125 @p71) :args (@t86)) % 29.14/29.34 (step @p127 :rule symm :premises (@p11)) % 29.14/29.34 (step @p128 :rule cong :premises (@p127) :args (@t89)) % 29.14/29.34 (step @p129 :rule cong :premises (@p94 @p128) :args (@t90)) % 29.14/29.34 (step @p130 :rule trans :premises (@p129 @p126 @p110 @p8 @p108 @p95)) % 29.14/29.34 (step @p131 :rule cong :premises (@p130 @p94) :args (@t91)) % 29.14/29.34 (step @p133 :rule trans :premises (@p132 @p131 @p93)) % 29.14/29.34 (step @p134 :rule cong :premises (@p133 @p92) :args (@t88)) % 29.14/29.34 (step @p255 :rule trans :premises (@p11 @p134)) % 29.14/29.34 (step-pop @p362 :rule scope :premises (@p255)) % 29.14/29.34 (step-pop @p363 :rule scope :premises (@p362)) % 29.14/29.34 (step-pop @p364 :rule scope :premises (@p363)) % 29.14/29.34 (step-pop @p365 :rule scope :premises (@p364)) % 29.14/29.34 (step-pop @p366 :rule scope :premises (@p365)) % 29.14/29.34 (step-pop @p367 :rule scope :premises (@p366)) % 29.14/29.34 (step-pop @p368 :rule scope :premises (@p367)) % 29.14/29.34 (step-pop @p369 :rule scope :premises (@p368)) % 29.14/29.34 (step @p256 :rule process_scope :premises (@p369) :args (@t40)) % 29.14/29.34 (step @p265 :rule implies_elim :premises (@p256)) % 29.14/29.34 (step @p266 :rule cnf_and_neg :args (@t103)) % 29.14/29.34 (step @p267 :rule resolution :premises (@p266 @p265) :args (true @t103)) % 29.14/29.34 (step @p268 :rule reordering :premises (@p267) :args ((or @t98 @t97 @t40 @t95 @t94 (not @t99) (not @t100) (not @t101) (not @t102)))) % 29.14/29.34 (step @p269 false :rule chain_m_resolution :premises (@p268 @p109 @p116 @p132 @p246 @p11 @p10 @p9 @p8 @p7) :args (false (@list false false false true false false false false false) (@list @t102 @t101 @t100 @t40 @t99 @t70 @t44 @t39 @t32))) % 29.14/29.34 ) % 29.14/29.34 % SZS output end Proof % 29.14/29.34 % cvc5 exiting %------------------------------------------------------------------------------