%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP191-2 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:20:10 AM UTC 2026 % Result : Unsatisfiable 161.10s 161.54s % Output : Proof 161.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP191-2 : TPTP v9.2.1. Bugfixed v1.2.1. % 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 : n015.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 00:57:49 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.93/16.18 --- Run --no-e-matching --full-saturate-quant at 6... % 22.01/22.22 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.98/28.27 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.08/34.32 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.42/64.76 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.62/79.99 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.98/113.39 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 128.24/128.67 --- Run --prenex-quant=none --full-saturate-quant at 30... % 158.64/159.06 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 161.10/161.54 % SZS status Unsatisfiable % 161.10/161.54 % SZS output start Proof % 161.10/161.54 ( % 161.10/161.54 (declare-sort $$unsorted 0) % 161.10/161.54 (declare-const tptp.a $$unsorted) % 161.10/161.54 (declare-const tptp.b $$unsorted) % 161.10/161.54 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 161.10/161.54 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 161.10/161.54 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 161.10/161.54 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 161.10/161.54 (declare-const tptp.identity $$unsorted) % 161.10/161.54 (define @t1 () (@var "X" $$unsorted)) % 161.10/161.54 (define @t2 () (tptp.multiply tptp.identity @t1)) % 161.10/161.54 (define @t3 () (@list @t1)) % 161.10/161.54 (define @t4 () (forall @t3 (= @t2 @t1))) % 161.10/161.54 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 161.10/161.54 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 161.10/161.54 (define @t7 () (@var "Z" $$unsorted)) % 161.10/161.54 (define @t8 () (@var "Y" $$unsorted)) % 161.10/161.54 (define @t9 () (tptp.multiply @t1 @t8)) % 161.10/161.54 (define @t10 () (@list @t1 @t8 @t7)) % 161.10/161.54 (define @t11 () (forall @t10 (= (tptp.multiply @t9 @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 161.10/161.54 (define @t12 () (tptp.greatest_lower_bound @t1 @t8)) % 161.10/161.54 (define @t13 () (@list @t1 @t8)) % 161.10/161.54 (define @t14 () (tptp.least_upper_bound @t1 @t8)) % 161.10/161.54 (define @t15 () (tptp.greatest_lower_bound @t8 @t7)) % 161.10/161.54 (define @t16 () (tptp.least_upper_bound @t8 @t7)) % 161.10/161.54 (define @t17 () (tptp.least_upper_bound @t1 @t12)) % 161.10/161.54 (define @t18 () (forall @t13 (= @t17 @t1))) % 161.10/161.54 (define @t19 () (tptp.multiply @t1 @t7)) % 161.10/161.54 (define @t20 () (tptp.multiply @t7 @t1)) % 161.10/161.54 (define @t21 () (tptp.multiply @t8 @t1)) % 161.10/161.54 (define @t22 () (@list @t8 @t7 @t1)) % 161.10/161.54 (define @t23 () (tptp.greatest_lower_bound tptp.a tptp.b)) % 161.10/161.54 (define @t24 () (tptp.inverse tptp.b)) % 161.10/161.54 (define @t25 () (tptp.inverse tptp.a)) % 161.10/161.54 (define @t26 () (tptp.least_upper_bound @t25 @t24)) % 161.10/161.54 (define @t27 () (@list tptp.b)) % 161.10/161.54 (define @t28 () (@list tptp.identity)) % 161.10/161.54 (define @t29 () (@list @t24)) % 161.10/161.54 (define @t30 () (tptp.inverse tptp.identity)) % 161.10/161.54 (define @t31 () (@list @t30)) % 161.10/161.54 (define @t32 () (tptp.inverse @t24)) % 161.10/161.54 (define @t33 () (tptp.multiply @t23 tptp.identity)) % 161.10/161.54 (define @t34 () (tptp.least_upper_bound @t24 @t25)) % 161.10/161.54 (define @t35 () (tptp.multiply @t25 tptp.a)) % 161.10/161.54 (define @t36 () (tptp.inverse @t26)) % 161.10/161.54 (define @t37 () (tptp.multiply @t34 tptp.b)) % 161.10/161.54 (define @t38 () (tptp.multiply @t37 @t34)) % 161.10/161.54 (define @t39 () (tptp.multiply @t34 (tptp.multiply tptp.b @t34))) % 161.10/161.54 (define @t40 () (= @t38 @t39)) % 161.10/161.54 (define @t41 () (= @t39 @t38)) % 161.10/161.54 (define @t42 () (tptp.inverse @t30)) % 161.10/161.54 (define @t43 () (= tptp.b @t23)) % 161.10/161.54 (define @t44 () (= tptp.identity @t35)) % 161.10/161.54 (define @t45 () (tptp.multiply @t24 tptp.b)) % 161.10/161.54 (define @t46 () (= tptp.identity @t45)) % 161.10/161.54 (define @t47 () (= @t26 @t34)) % 161.10/161.54 (define @t48 () (tptp.least_upper_bound tptp.a @t23)) % 161.10/161.54 (define @t49 () (= tptp.a @t48)) % 161.10/161.54 (define @t50 () (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) % 161.10/161.54 (define @t51 () (tptp.multiply @t30 tptp.identity)) % 161.10/161.54 (define @t52 () (= tptp.identity @t51)) % 161.10/161.54 (define @t53 () (tptp.multiply tptp.b tptp.identity)) % 161.10/161.54 (define @t54 () (tptp.multiply @t45 tptp.identity)) % 161.10/161.54 (define @t55 () (= @t54 (tptp.multiply @t24 @t53))) % 161.10/161.54 (define @t56 () (tptp.multiply @t25 @t23)) % 161.10/161.54 (define @t57 () (tptp.multiply @t25 @t48)) % 161.10/161.54 (define @t58 () (= @t57 (tptp.least_upper_bound @t35 @t56))) % 161.10/161.54 (define @t59 () (tptp.multiply @t32 @t24)) % 161.10/161.54 (define @t60 () (= tptp.identity @t59)) % 161.10/161.54 (define @t61 () (tptp.least_upper_bound tptp.identity (tptp.greatest_lower_bound tptp.identity tptp.b))) % 161.10/161.54 (define @t62 () (= tptp.identity @t61)) % 161.10/161.54 (define @t63 () (tptp.multiply tptp.identity @t30)) % 161.10/161.54 (define @t64 () (= @t30 @t63)) % 161.10/161.54 (define @t65 () (tptp.multiply @t51 @t30)) % 161.10/161.54 (define @t66 () (= @t65 (tptp.multiply @t30 @t63))) % 161.10/161.54 (define @t67 () (tptp.multiply @t25 tptp.b)) % 161.10/161.54 (define @t68 () (tptp.least_upper_bound @t45 @t67)) % 161.10/161.54 (define @t69 () (= @t37 @t68)) % 161.10/161.54 (define @t70 () (= tptp.b (tptp.multiply tptp.identity tptp.b))) % 161.10/161.54 (define @t71 () (tptp.multiply tptp.identity @t33)) % 161.10/161.54 (define @t72 () (tptp.multiply tptp.identity @t23)) % 161.10/161.54 (define @t73 () (= (tptp.multiply @t72 tptp.identity) @t71)) % 161.10/161.54 (define @t74 () (tptp.multiply tptp.identity @t24)) % 161.10/161.54 (define @t75 () (= @t24 @t74)) % 161.10/161.54 (define @t76 () (tptp.multiply @t36 @t26)) % 161.10/161.54 (define @t77 () (= tptp.identity @t76)) % 161.10/161.54 (define @t78 () (tptp.multiply @t59 @t23)) % 161.10/161.54 (define @t79 () (= @t78 (tptp.multiply @t32 (tptp.multiply @t24 @t23)))) % 161.10/161.54 (define @t80 () (tptp.multiply @t24 @t33)) % 161.10/161.54 (define @t81 () (tptp.multiply @t32 @t80)) % 161.10/161.54 (define @t82 () (= (tptp.multiply @t59 @t33) @t81)) % 161.10/161.54 (define @t83 () (tptp.multiply tptp.identity @t34)) % 161.10/161.54 (define @t84 () (= @t34 @t83)) % 161.10/161.54 (define @t85 () (tptp.multiply @t51 @t34)) % 161.10/161.54 (define @t86 () (= @t85 (tptp.multiply @t30 @t83))) % 161.10/161.54 (define @t87 () (tptp.multiply @t32 @t35)) % 161.10/161.54 (define @t88 () (tptp.multiply @t87 @t34)) % 161.10/161.54 (define @t89 () (= @t88 (tptp.multiply @t32 (tptp.multiply @t35 @t34)))) % 161.10/161.54 (define @t90 () (tptp.multiply @t35 @t30)) % 161.10/161.54 (define @t91 () (tptp.multiply @t32 @t90)) % 161.10/161.54 (define @t92 () (= (tptp.multiply @t87 @t30) @t91)) % 161.10/161.54 (define @t93 () (tptp.multiply @t76 @t23)) % 161.10/161.54 (define @t94 () (= @t93 (tptp.multiply @t36 (tptp.multiply @t26 @t23)))) % 161.10/161.54 (define @t95 () (tptp.multiply @t32 @t74)) % 161.10/161.54 (define @t96 () (= (tptp.multiply (tptp.multiply @t32 tptp.identity) @t24) @t95)) % 161.10/161.54 (define @t97 () (tptp.multiply @t30 @t34)) % 161.10/161.54 (define @t98 () (tptp.multiply @t32 @t97)) % 161.10/161.54 (define @t99 () (= (tptp.multiply (tptp.multiply @t32 @t30) @t34) @t98)) % 161.10/161.54 (define @t100 () (tptp.multiply @t36 @t30)) % 161.10/161.54 (define @t101 () (tptp.multiply @t100 @t34)) % 161.10/161.54 (define @t102 () (= @t101 (tptp.multiply @t36 @t97))) % 161.10/161.54 (define @t103 () (tptp.multiply @t42 @t30)) % 161.10/161.54 (define @t104 () (= tptp.identity @t103)) % 161.10/161.54 (define @t105 () (tptp.multiply tptp.b @t24)) % 161.10/161.54 (define @t106 () (tptp.multiply @t34 @t105)) % 161.10/161.54 (define @t107 () (= (tptp.multiply @t37 @t24) @t106)) % 161.10/161.54 (define @t108 () (tptp.multiply @t30 @t30)) % 161.10/161.54 (define @t109 () (tptp.multiply @t42 @t108)) % 161.10/161.54 (define @t110 () (= (tptp.multiply @t103 @t30) @t109)) % 161.10/161.54 (define @t111 () (tptp.multiply tptp.b @t59)) % 161.10/161.54 (define @t112 () (tptp.multiply @t53 @t30)) % 161.10/161.54 (define @t113 () (tptp.multiply @t112 @t34)) % 161.10/161.54 (define @t114 () (= @t24 @t26)) % 161.10/161.54 (define @t115 () (and @t43 @t44 @t46 @t47 @t49 @t50 @t52 @t55 @t58 @t60 @t62 @t64 @t66 @t69 @t70 @t73 @t75 @t77 @t79 @t82 @t84 @t86 @t89 @t92 @t94 @t96 @t99 @t102 @t104 @t107 @t41 @t110)) % 161.10/161.54 (assume @p1 @t4) % 161.10/161.54 (assume @p2 @t6) % 161.10/161.54 (assume @p3 @t11) % 161.10/161.54 (assume @p4 (forall @t13 (= @t12 (tptp.greatest_lower_bound @t8 @t1)))) % 161.10/161.54 (assume @p5 (forall @t13 (= @t14 (tptp.least_upper_bound @t8 @t1)))) % 161.10/161.54 (assume @p6 (forall @t10 (= (tptp.greatest_lower_bound @t1 @t15) (tptp.greatest_lower_bound @t12 @t7)))) % 161.10/161.54 (assume @p7 (forall @t10 (= (tptp.least_upper_bound @t1 @t16) (tptp.least_upper_bound @t14 @t7)))) % 161.10/161.54 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 161.10/161.54 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 161.10/161.54 (assume @p10 @t18) % 161.10/161.54 (assume @p11 (forall @t13 (= (tptp.greatest_lower_bound @t1 @t14) @t1))) % 161.10/161.54 (assume @p12 (forall @t10 (= (tptp.multiply @t1 @t16) (tptp.least_upper_bound @t9 @t19)))) % 161.10/161.54 (assume @p13 (forall @t10 (= (tptp.multiply @t1 @t15) (tptp.greatest_lower_bound @t9 @t19)))) % 161.10/161.54 (assume @p14 (forall @t22 (= (tptp.multiply @t16 @t1) (tptp.least_upper_bound @t21 @t20)))) % 161.10/161.54 (assume @p15 (forall @t22 (= (tptp.multiply @t15 @t1) (tptp.greatest_lower_bound @t21 @t20)))) % 161.10/161.54 (assume @p16 (= @t23 tptp.b)) % 161.10/161.54 (assume @p17 (not (= @t26 @t24))) % 161.10/161.54 (step @p18 :rule symm :premises (@p16)) % 161.10/161.54 (step @p19 :rule symm :premises (@p17)) % 161.10/161.54 (step @p20 :rule eq-symm :args (@t5 tptp.identity)) % 161.10/161.54 (step @p21 :rule cong :premises (@p20) :args (@t6)) % 161.10/161.54 (step @p22 :rule eq_resolve :premises (@p2 @p21)) % 161.10/161.54 (step @p23 :rule instantiate :premises (@p22) :args ((@list tptp.a))) % 161.10/161.54 (step @p24 :rule instantiate :premises (@p22) :args (@t27)) % 161.10/161.54 (step @p25 :rule instantiate :premises (@p5) :args ((@list @t25 @t24))) % 161.10/161.54 (step @p26 :rule eq-symm :args (@t17 @t1)) % 161.10/161.54 (step @p27 :rule cong :premises (@p26) :args (@t18)) % 161.10/161.54 (step @p28 :rule eq_resolve :premises (@p10 @p27)) % 161.10/161.54 (step @p29 :rule instantiate :premises (@p28) :args ((@list tptp.a tptp.b))) % 161.10/161.54 (step @p30 :rule eq-symm :args (@t2 @t1)) % 161.10/161.54 (step @p31 :rule cong :premises (@p30) :args (@t4)) % 161.10/161.54 (step @p32 :rule eq_resolve :premises (@p1 @p31)) % 161.10/161.54 (step @p33 :rule instantiate :premises (@p32) :args (@t28)) % 161.10/161.54 (step @p34 :rule instantiate :premises (@p22) :args (@t28)) % 161.10/161.54 (step @p35 :rule instantiate :premises (@p3) :args ((@list @t24 tptp.b tptp.identity))) % 161.10/161.54 (step @p36 :rule instantiate :premises (@p12) :args ((@list @t25 tptp.a @t23))) % 161.10/161.54 (step @p37 :rule instantiate :premises (@p22) :args (@t29)) % 161.10/161.54 (step @p38 :rule instantiate :premises (@p28) :args ((@list tptp.identity tptp.b))) % 161.10/161.54 (step @p39 :rule instantiate :premises (@p32) :args (@t31)) % 161.10/161.54 (step @p40 :rule instantiate :premises (@p3) :args ((@list @t30 tptp.identity @t30))) % 161.10/161.54 (step @p41 :rule instantiate :premises (@p14) :args ((@list @t24 @t25 tptp.b))) % 161.10/161.54 (step @p42 :rule instantiate :premises (@p32) :args (@t27)) % 161.10/161.54 (step @p43 :rule instantiate :premises (@p3) :args ((@list tptp.identity @t23 tptp.identity))) % 161.10/161.54 (step @p44 :rule instantiate :premises (@p32) :args (@t29)) % 161.10/161.54 (step @p45 :rule instantiate :premises (@p22) :args ((@list @t26))) % 161.10/161.54 (step @p46 :rule instantiate :premises (@p3) :args ((@list @t32 @t24 @t23))) % 161.10/161.54 (step @p47 :rule instantiate :premises (@p3) :args ((@list @t32 @t24 @t33))) % 161.10/161.54 (step @p48 :rule instantiate :premises (@p32) :args ((@list @t34))) % 161.10/161.54 (step @p49 :rule instantiate :premises (@p3) :args ((@list @t30 tptp.identity @t34))) % 161.10/161.54 (step @p50 :rule instantiate :premises (@p3) :args ((@list @t32 @t35 @t34))) % 161.10/161.54 (step @p51 :rule instantiate :premises (@p3) :args ((@list @t32 @t35 @t30))) % 161.10/161.54 (step @p52 :rule instantiate :premises (@p3) :args ((@list @t36 @t26 @t23))) % 161.10/161.54 (step @p53 :rule instantiate :premises (@p3) :args ((@list @t32 tptp.identity @t24))) % 161.10/161.54 (step @p54 :rule instantiate :premises (@p3) :args ((@list @t32 @t30 @t34))) % 161.10/161.54 (step @p55 :rule instantiate :premises (@p3) :args ((@list @t36 @t30 @t34))) % 161.10/161.54 (step @p56 :rule instantiate :premises (@p22) :args (@t31)) % 161.10/161.54 (step @p57 :rule instantiate :premises (@p3) :args ((@list @t34 tptp.b @t24))) % 161.10/161.54 (step @p58 :rule eq-symm :args (@t38 @t39)) % 161.10/161.54 (step @p59 :rule refl :args (@t11)) % 161.10/161.54 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t11 @t40))) % 161.10/161.54 (assume-push @p255 @t11) % 161.10/161.54 (step @p62 :rule instantiate :premises (@p3) :args ((@list @t34 tptp.b @t34))) % 161.10/161.54 (step-pop @p256 :rule scope :premises (@p62)) % 161.10/161.54 (step @p63 :rule process_scope :premises (@p256) :args (@t40)) % 161.10/161.54 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 161.10/161.54 (step @p66 :rule implies_elim :premises (@p65)) % 161.10/161.54 (step @p67 :rule chain_m_resolution :premises (@p66 @p3) :args (@t41 (@list false) (@list @t11))) % 161.10/161.54 (step @p68 :rule instantiate :premises (@p3) :args ((@list @t42 @t30 @t30))) % 161.10/161.54 (assume-push @p257 @t43) % 161.10/161.54 (assume-push @p258 @t44) % 161.10/161.54 (assume-push @p259 @t46) % 161.10/161.54 (assume-push @p260 @t47) % 161.10/161.54 (assume-push @p261 @t49) % 161.10/161.54 (assume-push @p262 @t50) % 161.10/161.54 (assume-push @p263 @t52) % 161.10/161.54 (assume-push @p264 @t55) % 161.10/161.54 (assume-push @p265 @t58) % 161.10/161.54 (assume-push @p266 @t60) % 161.10/161.54 (assume-push @p267 @t62) % 161.10/161.54 (assume-push @p268 @t64) % 161.10/161.54 (assume-push @p269 @t66) % 161.10/161.54 (assume-push @p270 @t69) % 161.10/161.54 (assume-push @p271 @t70) % 161.10/161.54 (assume-push @p272 @t73) % 161.10/161.54 (assume-push @p273 @t75) % 161.10/161.54 (assume-push @p274 @t77) % 161.10/161.54 (assume-push @p275 @t79) % 161.10/161.54 (assume-push @p276 @t82) % 161.10/161.54 (assume-push @p277 @t84) % 161.10/161.54 (assume-push @p278 @t86) % 161.10/161.54 (assume-push @p279 @t89) % 161.10/161.54 (assume-push @p280 @t92) % 161.10/161.54 (assume-push @p281 @t94) % 161.10/161.54 (assume-push @p282 @t96) % 161.10/161.54 (assume-push @p283 @t99) % 161.10/161.54 (assume-push @p284 @t102) % 161.10/161.54 (assume-push @p285 @t104) % 161.10/161.54 (assume-push @p286 @t107) % 161.10/161.54 (assume-push @p287 @t41) % 161.10/161.54 (assume-push @p288 @t110) % 161.10/161.54 (step @p101 :rule symm :premises (@p25)) % 161.10/161.54 (step @p102 :rule symm :premises (@p48)) % 161.10/161.54 (step @p103 :rule refl :args (@t34)) % 161.10/161.54 (step @p104 :rule symm :premises (@p23)) % 161.10/161.54 (step @p105 :rule symm :premises (@p29)) % 161.10/161.54 (step @p106 :rule refl :args (@t25)) % 161.10/161.54 (step @p107 :rule cong :premises (@p106 @p105) :args (@t57)) % 161.10/161.54 (step @p108 :rule symm :premises (@p36)) % 161.10/161.54 (step @p109 :rule refl :args (@t56)) % 161.10/161.54 (step @p110 :rule symm :premises (@p38)) % 161.10/161.54 (step @p111 :rule trans :premises (@p110 @p23)) % 161.10/161.54 (step @p112 :rule cong :premises (@p111 @p109) :args ((tptp.least_upper_bound 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161.10/161.54 (step @p142 :rule trans :premises (@p141 @p139 @p138 @p102)) % 161.10/161.54 (step @p143 :rule cong :premises (@p129 @p142) :args (@t98)) % 161.10/161.54 (step @p144 :rule symm :premises (@p39)) % 161.10/161.54 (step @p145 :rule cong :premises (@p104 @p140) :args (@t90)) % 161.10/161.54 (step @p146 :rule trans :premises (@p145 @p144)) % 161.10/161.54 (step @p147 :rule cong :premises (@p129 @p146) :args (@t91)) % 161.10/161.54 (step @p148 :rule symm :premises (@p131)) % 161.10/161.54 (step @p149 :rule cong :premises (@p148 @p140) :args ((tptp.multiply tptp.b @t30))) % 161.10/161.54 (step @p150 :rule trans :premises (@p149 @p51 @p147)) % 161.10/161.54 (step @p151 :rule symm :premises (@p33)) % 161.10/161.54 (step @p152 :rule cong :premises (@p114 @p120) :args (@t54)) % 161.10/161.54 (step @p153 :rule symm :premises (@p35)) % 161.10/161.54 (step @p154 :rule refl :args (tptp.b)) % 161.10/161.54 (step @p155 :rule cong :premises (@p154 @p123) :args (@t111)) % 161.10/161.54 (step @p156 :rule cong :premises (@p16 @p37) :args (@t33)) % 161.10/161.54 (step @p157 :rule trans :premises (@p156 @p155)) % 161.10/161.54 (step @p158 :rule cong :premises (@p126 @p157) :args (@t80)) % 161.10/161.54 (step @p159 :rule trans :premises (@p158 @p153 @p152 @p151 @p23)) % 161.10/161.54 (step @p160 :rule cong :premises (@p129 @p159) :args (@t81)) % 161.10/161.54 (step @p161 :rule refl :args (@t33)) % 161.10/161.54 (step @p162 :rule cong :premises (@p37 @p161) :args (@t71)) % 161.10/161.54 (step @p163 :rule symm :premises (@p121)) % 161.10/161.54 (step @p164 :rule trans :premises (@p42 @p163)) % 161.10/161.54 (step @p165 :rule cong :premises (@p164 @p123) :args (@t111)) % 161.10/161.54 (step @p166 :rule symm :premises (@p155)) % 161.10/161.54 (step @p167 :rule trans :premises (@p166 @p165 @p43 @p162 @p47 @p160 @p130 @p125 @p124 @p121 @p119)) % 161.10/161.54 (step @p168 :rule cong :premises (@p167 @p140) :args (@t112)) % 161.10/161.54 (step @p169 :rule trans :premises (@p168 @p150)) % 161.10/161.54 (step @p170 :rule cong :premises (@p169 @p103) :args (@t113)) % 161.10/161.54 (step @p171 :rule trans :premises (@p170 @p54 @p143 @p136 @p133 @p132)) % 161.10/161.54 (step @p172 :rule cong :premises (@p103 @p171) :args ((tptp.multiply @t34 @t113))) % 161.10/161.54 (step @p173 :rule symm :premises (@p170)) % 161.10/161.54 (step @p174 :rule symm :premises (@p54)) % 161.10/161.54 (step @p175 :rule symm :premises (@p143)) % 161.10/161.54 (step @p176 :rule symm :premises (@p136)) % 161.10/161.54 (step @p177 :rule symm :premises (@p132)) % 161.10/161.54 (step @p178 :rule symm :premises (@p45)) % 161.10/161.54 (step @p179 :rule cong :premises (@p178 @p122) :args (@t93)) % 161.10/161.54 (step @p180 :rule symm :premises (@p52)) % 161.10/161.54 (step @p181 :rule cong :premises (@p101 @p18) :args (@t37)) % 161.10/161.54 (step @p182 :rule symm :premises (@p41)) % 161.10/161.54 (step @p183 :rule symm :premises (@p116)) % 161.10/161.54 (step @p184 :rule symm :premises (@p112)) % 161.10/161.54 (step @p185 :rule symm :premises (@p107)) % 161.10/161.54 (step @p186 :rule symm :premises (@p56)) % 161.10/161.54 (step @p187 :rule cong :premises (@p137 @p140) :args (@t65)) % 161.10/161.54 (step @p188 :rule symm :premises (@p40)) % 161.10/161.54 (step @p189 :rule cong :premises (@p140 @p39) :args (@t108)) % 161.10/161.54 (step @p190 :rule trans :premises (@p189 @p188 @p187 @p144)) % 161.10/161.54 (step @p191 :rule refl :args (@t42)) % 161.10/161.54 (step @p192 :rule cong :premises (@p191 @p190) :args (@t109)) % 161.10/161.54 (step @p193 :rule cong :premises (@p56 @p140) :args (@t63)) % 161.10/161.54 (step @p194 :rule trans :premises (@p39 @p193 @p68 @p192 @p186 @p23 @p185 @p36 @p184 @p183 @p182 @p181)) % 161.10/161.54 (step @p195 :rule refl :args (@t36)) % 161.10/161.54 (step @p196 :rule cong :premises (@p195 @p194) :args (@t100)) % 161.10/161.54 (step @p197 :rule trans :premises (@p196 @p180 @p179 @p121 @p119)) % 161.10/161.54 (step @p198 :rule cong :premises (@p197 @p103) :args (@t101)) % 161.10/161.54 (step @p199 :rule symm :premises (@p55)) % 161.10/161.54 (step @p200 :rule symm :premises (@p142)) % 161.10/161.54 (step @p201 :rule cong :premises (@p195 @p200) :args ((tptp.multiply @t36 @t34))) % 161.10/161.54 (step @p202 :rule cong :premises (@p195 @p25) :args (@t76)) % 161.10/161.54 (step @p203 :rule trans :premises (@p45 @p202 @p201 @p199 @p198 @p177 @p50 @p176 @p175 @p174 @p173)) % 161.10/161.54 (step @p204 :rule cong :premises (@p25 @p203) :args ((tptp.multiply @t26 tptp.identity))) % 161.10/161.54 (step @p205 :rule symm :premises (@p44)) % 161.10/161.54 (step @p206 :rule cong :premises (@p129 @p205) :args (@t95)) % 161.10/161.54 (step @p207 :rule cong :premises (@p129 @p104) :args (@t87)) % 161.10/161.54 (step @p208 :rule symm :premises (@p130)) % 161.10/161.54 (step @p209 :rule symm :premises (@p124)) % 161.10/161.54 (step @p210 :rule trans :premises (@p42 @p163 @p209 @p46 @p208 @p207)) % 161.10/161.54 (step @p211 :rule cong :premises (@p210 @p126) :args (@t105)) % 161.10/161.54 (step @p212 :rule trans :premises (@p211 @p53 @p206 @p123)) % 161.10/161.54 (step @p213 :rule cong :premises (@p101 @p212) :args (@t106)) % 161.10/161.54 (step @p214 :rule symm :premises (@p117)) % 161.10/161.54 (step @p215 :rule cong :premises (@p214 @p126) :args (@t74)) % 161.10/161.54 (step @p216 :rule trans :premises (@p44 @p215 @p57 @p213 @p204 @p172 @p67 @p118 @p102 @p101)) % 161.10/161.54 (step-pop @p289 :rule scope :premises (@p216)) % 161.10/161.54 (step-pop @p290 :rule scope :premises (@p289)) % 161.10/161.54 (step-pop @p291 :rule scope :premises (@p290)) % 161.10/161.54 (step-pop @p292 :rule scope :premises (@p291)) % 161.10/161.54 (step-pop @p293 :rule scope :premises (@p292)) % 161.10/161.54 (step-pop @p294 :rule scope :premises (@p293)) % 161.10/161.54 (step-pop @p295 :rule scope :premises (@p294)) % 161.10/161.54 (step-pop @p296 :rule scope :premises (@p295)) % 161.10/161.54 (step-pop @p297 :rule scope :premises (@p296)) % 161.10/161.54 (step-pop @p298 :rule scope :premises (@p297)) % 161.10/161.54 (step-pop @p299 :rule scope :premises (@p298)) % 161.10/161.54 (step-pop @p300 :rule scope :premises (@p299)) % 161.10/161.54 (step-pop @p301 :rule scope :premises (@p300)) % 161.10/161.54 (step-pop @p302 :rule scope :premises (@p301)) % 161.10/161.54 (step-pop @p303 :rule scope :premises (@p302)) % 161.10/161.54 (step-pop @p304 :rule scope :premises (@p303)) % 161.10/161.54 (step-pop @p305 :rule scope :premises (@p304)) % 161.10/161.54 (step-pop @p306 :rule scope :premises (@p305)) % 161.10/161.54 (step-pop @p307 :rule scope :premises (@p306)) % 161.10/161.54 (step-pop @p308 :rule scope :premises (@p307)) % 161.10/161.54 (step-pop @p309 :rule scope :premises (@p308)) % 161.10/161.54 (step-pop @p310 :rule scope :premises (@p309)) % 161.10/161.54 (step-pop @p311 :rule scope :premises (@p310)) % 161.10/161.54 (step-pop @p312 :rule scope :premises (@p311)) % 161.10/161.54 (step-pop @p313 :rule scope :premises (@p312)) % 161.10/161.54 (step-pop @p314 :rule scope :premises (@p313)) % 161.10/161.54 (step-pop @p315 :rule scope :premises (@p314)) % 161.10/161.54 (step-pop @p316 :rule scope :premises (@p315)) % 161.10/161.54 (step-pop @p317 :rule scope :premises (@p316)) % 161.10/161.54 (step-pop @p318 :rule scope :premises (@p317)) % 161.10/161.54 (step-pop @p319 :rule scope :premises (@p318)) % 161.10/161.54 (step-pop @p320 :rule scope :premises (@p319)) % 161.10/161.54 (step @p217 :rule process_scope :premises (@p320) :args (@t114)) % 161.10/161.54 (step @p250 :rule implies_elim :premises (@p217)) % 161.10/161.54 (step @p251 :rule cnf_and_neg :args (@t115)) % 161.10/161.54 (step @p252 :rule resolution :premises (@p251 @p250) :args (true @t115)) % 161.10/161.54 (step @p253 :rule reordering :premises (@p252) :args ((or @t114 (not @t43) (not @t44) (not @t46) (not @t47) (not @t49) (not @t50) (not @t52) (not @t55) (not @t58) (not @t60) (not @t62) (not @t64) (not @t66) (not @t69) (not @t70) (not @t73) (not @t75) (not @t77) (not @t79) (not @t82) (not @t84) (not @t86) (not @t89) (not @t92) (not @t94) (not @t96) (not @t99) (not @t102) (not @t104) (not @t107) (not @t41) (not @t110)))) % 161.10/161.54 (step @p254 false :rule chain_m_resolution :premises (@p253 @p68 @p67 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p29 @p25 @p24 @p23 @p19 @p18) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true false) (@list @t110 @t41 @t107 @t104 @t102 @t99 @t96 @t94 @t92 @t89 @t86 @t84 @t82 @t79 @t77 @t75 @t73 @t70 @t69 @t66 @t64 @t62 @t60 @t58 @t55 @t52 @t50 @t49 @t47 @t46 @t44 @t114 @t43))) % 161.10/161.54 ) % 161.10/161.55 % SZS output end Proof % 161.10/161.55 % cvc5 exiting %------------------------------------------------------------------------------