%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT149-1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:29:50 AM UTC 2026 % Result : Unsatisfiable 43.84s 44.03s % Output : Proof 43.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT149-1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n028.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 05:54:20 EDT 2026 % 0.15/0.33 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.40/15.62 --- Run --no-e-matching --full-saturate-quant at 6... % 21.40/21.65 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.39/27.67 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.52/33.71 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 43.84/44.03 % SZS status Unsatisfiable % 43.84/44.03 % SZS output start Proof % 43.84/44.05 ( % 43.84/44.05 (declare-sort $$unsorted 0) % 43.84/44.05 (declare-const tptp.c $$unsorted) % 43.84/44.05 (declare-const tptp.a $$unsorted) % 43.84/44.05 (declare-const tptp.b $$unsorted) % 43.84/44.05 (declare-const tptp.d $$unsorted) % 43.84/44.05 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 43.84/44.05 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 43.84/44.05 (define @t1 () (@var "X" $$unsorted)) % 43.84/44.05 (define @t2 () (tptp.meet @t1 @t1)) % 43.84/44.05 (define @t3 () (@list @t1)) % 43.84/44.05 (define @t4 () (forall @t3 (= @t2 @t1))) % 43.84/44.05 (define @t5 () (tptp.join @t1 @t1)) % 43.84/44.05 (define @t6 () (forall @t3 (= @t5 @t1))) % 43.84/44.05 (define @t7 () (@var "Y" $$unsorted)) % 43.84/44.05 (define @t8 () (tptp.join @t1 @t7)) % 43.84/44.05 (define @t9 () (tptp.meet @t1 @t8)) % 43.84/44.05 (define @t10 () (@list @t1 @t7)) % 43.84/44.05 (define @t11 () (forall @t10 (= @t9 @t1))) % 43.84/44.05 (define @t12 () (tptp.meet @t1 @t7)) % 43.84/44.05 (define @t13 () (tptp.join @t1 @t12)) % 43.84/44.05 (define @t14 () (forall @t10 (= @t13 @t1))) % 43.84/44.05 (define @t15 () (@var "Z" $$unsorted)) % 43.84/44.05 (define @t16 () (tptp.meet @t7 @t15)) % 43.84/44.05 (define @t17 () (@list @t1 @t7 @t15)) % 43.84/44.05 (define @t18 () (forall @t17 (= (tptp.join @t8 @t15) (tptp.join @t1 (tptp.join @t7 @t15))))) % 43.84/44.05 (define @t19 () (@var "U" $$unsorted)) % 43.84/44.05 (define @t20 () (forall (@list @t1 @t7 @t15 @t19) (= (tptp.meet @t1 (tptp.join @t7 (tptp.join @t15 (tptp.meet @t1 @t19)))) (tptp.meet @t1 (tptp.join @t7 (tptp.join @t15 (tptp.meet @t19 (tptp.join @t1 @t16)))))))) % 43.84/44.05 (define @t21 () (tptp.join tptp.b tptp.d)) % 43.84/44.05 (define @t22 () (tptp.meet tptp.a @t21)) % 43.84/44.05 (define @t23 () (tptp.join tptp.d @t22)) % 43.84/44.05 (define @t24 () (tptp.meet tptp.c @t23)) % 43.84/44.05 (define @t25 () (tptp.join tptp.b @t24)) % 43.84/44.05 (define @t26 () (tptp.meet tptp.a @t25)) % 43.84/44.05 (define @t27 () (tptp.meet tptp.c @t21)) % 43.84/44.05 (define @t28 () (tptp.join tptp.b @t27)) % 43.84/44.05 (define @t29 () (tptp.meet tptp.a @t28)) % 43.84/44.05 (define @t30 () (tptp.meet @t21 tptp.c)) % 43.84/44.05 (define @t31 () (tptp.join tptp.b @t30)) % 43.84/44.05 (define @t32 () (tptp.meet tptp.b tptp.a)) % 43.84/44.05 (define @t33 () (tptp.join @t21 @t32)) % 43.84/44.05 (define @t34 () (tptp.join tptp.c @t33)) % 43.84/44.05 (define @t35 () (tptp.meet tptp.b @t34)) % 43.84/44.05 (define @t36 () (tptp.join @t21 @t29)) % 43.84/44.05 (define @t37 () (tptp.join tptp.c @t36)) % 43.84/44.05 (define @t38 () (@list tptp.b @t24)) % 43.84/44.05 (define @t39 () (tptp.join tptp.d @t29)) % 43.84/44.05 (define @t40 () (tptp.join @t39 tptp.c)) % 43.84/44.05 (define @t41 () (@list tptp.b @t27)) % 43.84/44.05 (define @t42 () (@list @t21 @t24)) % 43.84/44.05 (define @t43 () (@list tptp.b tptp.d)) % 43.84/44.05 (define @t44 () (@list tptp.d @t22)) % 43.84/44.05 (define @t45 () (tptp.meet tptp.d @t23)) % 43.84/44.05 (define @t46 () (tptp.join tptp.b @t45)) % 43.84/44.05 (define @t47 () (tptp.meet tptp.b @t46)) % 43.84/44.05 (define @t48 () (@list @t23 @t47)) % 43.84/44.05 (define @t49 () (tptp.meet @t23 tptp.c)) % 43.84/44.05 (define @t50 () (@list tptp.c @t23)) % 43.84/44.05 (define @t51 () (tptp.join @t24 @t23)) % 43.84/44.05 (define @t52 () (tptp.join @t24 @t21)) % 43.84/44.05 (define @t53 () (tptp.join @t24 tptp.c)) % 43.84/44.05 (define @t54 () (tptp.join @t24 @t24)) % 43.84/44.05 (define @t55 () (tptp.join @t24 @t27)) % 43.84/44.05 (define @t56 () (tptp.join @t55 @t24)) % 43.84/44.05 (define @t57 () (tptp.join @t24 tptp.b)) % 43.84/44.05 (define @t58 () (tptp.join @t57 tptp.d)) % 43.84/44.05 (define @t59 () (= @t58 @t52)) % 43.84/44.05 (define @t60 () (@list @t24 tptp.b tptp.d)) % 43.84/44.05 (define @t61 () (@list false)) % 43.84/44.05 (define @t62 () (@list @t18)) % 43.84/44.05 (define @t63 () (tptp.join tptp.c @t29)) % 43.84/44.05 (define @t64 () (@list tptp.b tptp.a)) % 43.84/44.05 (define @t65 () (tptp.join tptp.c @t21)) % 43.84/44.05 (define @t66 () (tptp.join @t65 @t29)) % 43.84/44.05 (define @t67 () (= @t66 @t37)) % 43.84/44.05 (define @t68 () (@list tptp.c @t21 @t29)) % 43.84/44.05 (define @t69 () (tptp.meet @t21 @t37)) % 43.84/44.05 (define @t70 () (tptp.meet @t25 @t66)) % 43.84/44.05 (define @t71 () (tptp.join @t27 @t70)) % 43.84/44.05 (define @t72 () (tptp.join @t25 @t28)) % 43.84/44.05 (define @t73 () (@list tptp.a @t25)) % 43.84/44.05 (define @t74 () (tptp.meet @t25 tptp.a)) % 43.84/44.05 (define @t75 () (tptp.join @t26 tptp.a)) % 43.84/44.05 (define @t76 () (@list tptp.a @t28)) % 43.84/44.05 (define @t77 () (tptp.meet @t28 tptp.a)) % 43.84/44.05 (define @t78 () (tptp.meet tptp.a (tptp.join @t25 @t45))) % 43.84/44.05 (define @t79 () (tptp.join @t22 tptp.d)) % 43.84/44.05 (define @t80 () (tptp.meet tptp.a @t46)) % 43.84/44.05 (define @t81 () (tptp.join @t22 @t80)) % 43.84/44.05 (define @t82 () (tptp.join @t23 @t80)) % 43.84/44.05 (define @t83 () (tptp.join @t82 @t78)) % 43.84/44.05 (define @t84 () (tptp.meet tptp.d tptp.c)) % 43.84/44.05 (define @t85 () (tptp.join @t21 @t84)) % 43.84/44.05 (define @t86 () (tptp.join tptp.a @t85)) % 43.84/44.05 (define @t87 () (tptp.join tptp.d (tptp.meet tptp.d @t86))) % 43.84/44.05 (define @t88 () (tptp.join @t87 @t82)) % 43.84/44.05 (define @t89 () (tptp.meet tptp.b @t21)) % 43.84/44.05 (define @t90 () (tptp.join @t25 @t26)) % 43.84/44.05 (define @t91 () (tptp.join tptp.b @t49)) % 43.84/44.05 (define @t92 () (tptp.join tptp.b @t91)) % 43.84/44.05 (define @t93 () (tptp.join @t23 @t47)) % 43.84/44.05 (define @t94 () (tptp.meet @t29 tptp.b)) % 43.84/44.05 (define @t95 () (tptp.join tptp.b @t94)) % 43.84/44.05 (define @t96 () (tptp.meet @t24 @t95)) % 43.84/44.05 (define @t97 () (tptp.join tptp.b @t96)) % 43.84/44.05 (define @t98 () (tptp.join @t29 @t97)) % 43.84/44.05 (define @t99 () (tptp.join @t23 @t32)) % 43.84/44.05 (define @t100 () (tptp.join tptp.c @t99)) % 43.84/44.05 (define @t101 () (@list tptp.b @t100)) % 43.84/44.05 (define @t102 () (tptp.join tptp.b (tptp.meet @t100 tptp.b))) % 43.84/44.05 (define @t103 () (tptp.meet tptp.b @t102)) % 43.84/44.05 (define @t104 () (tptp.join tptp.b @t103)) % 43.84/44.05 (define @t105 () (tptp.meet @t28 (tptp.join tptp.a @t26))) % 43.84/44.05 (define @t106 () (tptp.join @t29 @t26)) % 43.84/44.05 (define @t107 () (tptp.join @t26 @t29)) % 43.84/44.05 (define @t108 () (tptp.join @t107 tptp.b)) % 43.84/44.05 (define @t109 () (tptp.meet tptp.b @t108)) % 43.84/44.05 (define @t110 () (tptp.join @t23 @t109)) % 43.84/44.05 (define @t111 () (tptp.meet tptp.c @t110)) % 43.84/44.05 (define @t112 () (tptp.join @t108 @t111)) % 43.84/44.05 (define @t113 () (tptp.join tptp.b @t112)) % 43.84/44.05 (define @t114 () (tptp.join @t105 tptp.b)) % 43.84/44.05 (define @t115 () (tptp.join @t114 @t24)) % 43.84/44.05 (define @t116 () (tptp.join @t105 @t25)) % 43.84/44.05 (define @t117 () (= @t115 @t116)) % 43.84/44.05 (define @t118 () (tptp.join @t25 @t105)) % 43.84/44.05 (define @t119 () (tptp.join @t25 @t29)) % 43.84/44.05 (define @t120 () (tptp.join @t24 @t119)) % 43.84/44.05 (define @t121 () (tptp.meet @t25 @t25)) % 43.84/44.05 (define @t122 () (tptp.join @t51 @t32)) % 43.84/44.05 (define @t123 () (tptp.join @t23 @t94)) % 43.84/44.05 (define @t124 () (tptp.meet @t24 @t123)) % 43.84/44.05 (define @t125 () (tptp.join tptp.b @t124)) % 43.84/44.05 (define @t126 () (tptp.join @t29 @t125)) % 43.84/44.05 (define @t127 () (tptp.join @t105 @t121)) % 43.84/44.05 (define @t128 () (tptp.join @t21 @t24)) % 43.84/44.05 (define @t129 () (tptp.join @t26 @t32)) % 43.84/44.05 (define @t130 () (tptp.join @t22 @t32)) % 43.84/44.05 (define @t131 () (tptp.meet tptp.b @t74)) % 43.84/44.05 (define @t132 () (tptp.join @t22 @t131)) % 43.84/44.05 (define @t133 () (tptp.join @t24 @t99)) % 43.84/44.05 (define @t134 () (= @t122 @t133)) % 43.84/44.05 (define @t135 () (tptp.join @t24 @t123)) % 43.84/44.05 (define @t136 () (tptp.meet @t135 @t127)) % 43.84/44.05 (define @t137 () (tptp.join @t25 @t136)) % 43.84/44.05 (define @t138 () (tptp.join @t25 @t137)) % 43.84/44.05 (define @t139 () (tptp.join @t29 tptp.a)) % 43.84/44.05 (define @t140 () (tptp.meet @t105 @t138)) % 43.84/44.05 (define @t141 () (@list @t21 @t29)) % 43.84/44.05 (define @t142 () (tptp.join @t26 (tptp.meet @t36 @t21))) % 43.84/44.05 (define @t143 () (tptp.meet @t24 @t142)) % 43.84/44.05 (define @t144 () (tptp.join @t21 @t143)) % 43.84/44.05 (define @t145 () (tptp.join @t36 @t144)) % 43.84/44.05 (define @t146 () (tptp.join @t28 tptp.d)) % 43.84/44.05 (define @t147 () (tptp.join @t106 tptp.a)) % 43.84/44.05 (define @t148 () (tptp.join @t23 @t22)) % 43.84/44.05 (define @t149 () (tptp.join tptp.d @t148)) % 43.84/44.05 (define @t150 () (tptp.meet @t139 @t135)) % 43.84/44.05 (define @t151 () (tptp.meet @t23 @t23)) % 43.84/44.05 (define @t152 () (tptp.join @t23 @t131)) % 43.84/44.05 (define @t153 () (tptp.join @t23 @t123)) % 43.84/44.05 (define @t154 () (tptp.meet @t105 @t135)) % 43.84/44.05 (define @t155 () (tptp.join @t25 @t154)) % 43.84/44.05 (define @t156 () (tptp.join @t25 @t155)) % 43.84/44.05 (define @t157 () (tptp.meet @t105 @t156)) % 43.84/44.05 (define @t158 () (= @t157 @t140)) % 43.84/44.05 (assume @p1 @t4) % 43.84/44.05 (assume @p2 @t6) % 43.84/44.05 (assume @p3 @t11) % 43.84/44.05 (assume @p4 @t14) % 43.84/44.05 (assume @p5 (forall @t10 (= @t12 (tptp.meet @t7 @t1)))) % 43.84/44.05 (assume @p6 (forall @t10 (= @t8 (tptp.join @t7 @t1)))) % 43.84/44.05 (assume @p7 (forall @t17 (= (tptp.meet @t12 @t15) (tptp.meet @t1 @t16)))) % 43.84/44.05 (assume @p8 @t18) % 43.84/44.05 (assume @p9 @t20) % 43.84/44.05 (assume @p10 (not (= @t29 @t26))) % 43.84/44.05 (step @p11 :rule false_intro :premises (@p10)) % 43.84/44.05 (step @p12 :rule instantiate :premises (@p5) :args ((@list tptp.c @t21))) % 43.84/44.05 (step @p13 :rule symm :premises (@p12)) % 43.84/44.05 (step @p14 :rule refl :args (tptp.b)) % 43.84/44.05 (step @p15 :rule cong :premises (@p14 @p13) :args (@t31)) % 43.84/44.05 (step @p16 :rule symm :premises (@p15)) % 43.84/44.05 (step @p17 :rule refl :args (@t25)) % 43.84/44.05 (step @p18 :rule cong :premises (@p17 @p16) :args ((tptp.meet @t25 @t28))) % 43.84/44.05 (step @p19 :rule refl :args (@t27)) % 43.84/44.05 (step @p20 :rule eq-symm :args (@t13 @t1)) % 43.84/44.05 (step @p21 :rule cong :premises (@p20) :args (@t14)) % 43.84/44.05 (step @p22 :rule eq_resolve :premises (@p4 @p21)) % 43.84/44.05 (step @p23 :rule instantiate :premises (@p22) :args ((@list tptp.b @t34))) % 43.84/44.05 (step @p24 :rule symm :premises (@p23)) % 43.84/44.05 (step @p25 :rule cong :premises (@p24 @p19) :args ((tptp.join (tptp.join tptp.b @t35) @t27))) % 43.84/44.05 (step @p26 :rule instantiate :premises (@p8) :args ((@list tptp.b @t35 @t27))) % 43.84/44.05 (step @p27 :rule symm :premises (@p26)) % 43.84/44.05 (step @p28 :rule instantiate :premises (@p9) :args ((@list tptp.b tptp.c @t21 tptp.a))) % 43.84/44.05 (step @p29 :rule symm :premises (@p28)) % 43.84/44.05 (step @p30 :rule refl :args (@t37)) % 43.84/44.05 (step @p31 :rule eq-symm :args (@t9 @t1)) % 43.84/44.05 (step @p32 :rule cong :premises (@p31) :args (@t11)) % 43.84/44.05 (step @p33 :rule eq_resolve :premises (@p3 @p32)) % 43.84/44.05 (step @p34 :rule instantiate :premises (@p33) :args (@t38)) % 43.84/44.05 (step @p35 :rule symm :premises (@p34)) % 43.84/44.05 (step @p36 :rule cong :premises (@p35 @p30) :args ((tptp.meet (tptp.meet tptp.b @t25) @t37))) % 43.84/44.05 (step @p37 :rule instantiate :premises (@p6) :args ((@list tptp.c @t36))) % 43.84/44.05 (step @p38 :rule symm :premises (@p37)) % 43.84/44.05 (step @p39 :rule refl :args (tptp.c)) % 43.84/44.05 (step @p40 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.d @t29))) % 43.84/44.05 (step @p41 :rule symm :premises (@p40)) % 43.84/44.05 (step @p42 :rule cong :premises (@p41 @p39) :args ((tptp.join (tptp.join tptp.b @t39) tptp.c))) % 43.84/44.05 (step @p43 :rule instantiate :premises (@p8) :args ((@list tptp.b @t39 tptp.c))) % 43.84/44.05 (step @p44 :rule symm :premises (@p43)) % 43.84/44.05 (step @p45 :rule trans :premises (@p44 @p42 @p38)) % 43.84/44.05 (step @p46 :rule cong :premises (@p34 @p45) :args ((tptp.meet tptp.b (tptp.join tptp.b @t40)))) % 43.84/44.05 (step @p47 :rule instantiate :premises (@p33) :args ((@list tptp.b @t40))) % 43.84/44.05 (step @p48 :rule trans :premises (@p47 @p46 @p36 @p29)) % 43.84/44.05 (step @p49 :rule cong :premises (@p48 @p19) :args (@t28)) % 43.84/44.05 (step @p50 :rule instantiate :premises (@p6) :args (@t41)) % 43.84/44.05 (step @p51 :rule symm :premises (@p50)) % 43.84/44.05 (step @p52 :rule instantiate :premises (@p22) :args ((@list @t27 @t24))) % 43.84/44.05 (step @p53 :rule symm :premises (@p52)) % 43.84/44.05 (step @p54 :rule instantiate :premises (@p7) :args ((@list tptp.c @t21 @t24))) % 43.84/44.05 (step @p55 :rule symm :premises (@p54)) % 43.84/44.05 (step @p56 :rule instantiate :premises (@p5) :args (@t42)) % 43.84/44.05 (step @p57 :rule symm :premises (@p56)) % 43.84/44.05 (step @p58 :rule instantiate :premises (@p22) :args ((@list @t21 tptp.a))) % 43.84/44.05 (step @p59 :rule symm :premises (@p58)) % 43.84/44.05 (step @p60 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.d (tptp.meet @t21 tptp.a)))) % 43.84/44.05 (step @p61 :rule symm :premises (@p60)) % 43.84/44.05 (step @p62 :rule instantiate :premises (@p5) :args ((@list tptp.a @t21))) % 43.84/44.05 (step @p63 :rule refl :args (tptp.d)) % 43.84/44.05 (step @p64 :rule cong :premises (@p63 @p62) :args (@t23)) % 43.84/44.05 (step @p65 :rule instantiate :premises (@p33) :args (@t43)) % 43.84/44.05 (step @p66 :rule symm :premises (@p65)) % 43.84/44.05 (step @p67 :rule instantiate :premises (@p33) :args (@t44)) % 43.84/44.05 (step @p68 :rule symm :premises (@p67)) % 43.84/44.05 (step @p69 :rule cong :premises (@p14 @p68) :args (@t46)) % 43.84/44.05 (step @p70 :rule cong :premises (@p14 @p69) :args (@t47)) % 43.84/44.05 (step @p71 :rule trans :premises (@p70 @p66)) % 43.84/44.05 (step @p72 :rule cong :premises (@p71 @p64) :args ((tptp.join @t47 @t23))) % 43.84/44.05 (step @p73 :rule instantiate :premises (@p6) :args (@t48)) % 43.84/44.05 (step @p74 :rule refl :args (@t47)) % 43.84/44.05 (step @p75 :rule instantiate :premises (@p22) :args ((@list @t23 tptp.c))) % 43.84/44.05 (step @p76 :rule symm :premises (@p75)) % 43.84/44.05 (step @p77 :rule instantiate :premises (@p6) :args ((@list @t23 @t49))) % 43.84/44.05 (step @p78 :rule symm :premises (@p77)) % 43.84/44.05 (step @p79 :rule refl :args (@t23)) % 43.84/44.05 (step @p80 :rule instantiate :premises (@p5) :args (@t50)) % 43.84/44.05 (step @p81 :rule cong :premises (@p80 @p79) :args (@t51)) % 43.84/44.05 (step @p82 :rule trans :premises (@p81 @p78 @p76)) % 43.84/44.05 (step @p83 :rule cong :premises (@p82 @p74) :args ((tptp.join @t51 @t47))) % 43.84/44.05 (step @p84 :rule instantiate :premises (@p8) 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:premises (@p433)) % 43.84/44.05 (step @p512 :rule process_scope :premises (@p676) :args (@t134)) % 43.84/44.05 (step @p514 :rule eq_resolve :premises (@p512 @p510)) % 43.84/44.05 (step @p515 :rule implies_elim :premises (@p514)) % 43.84/44.05 (step @p516 :rule chain_m_resolution :premises (@p515 @p8) :args ((= @t133 @t122) @t61 @t62)) % 43.84/44.05 (step @p517 :rule cong :premises (@p89 @p436) :args (@t135)) % 43.84/44.05 (step @p518 :rule trans :premises (@p517 @p516 @p434 @p508 @p507 @p505 @p503)) % 43.84/44.05 (step @p519 :rule cong :premises (@p518 @p447) :args (@t136)) % 43.84/44.05 (step @p520 :rule trans :premises (@p519 @p443 @p393 @p392 @p314 @p302 @p300 @p282 @p281)) % 43.84/44.05 (step @p521 :rule cong :premises (@p17 @p520) :args (@t137)) % 43.84/44.05 (step @p522 :rule trans :premises (@p521 @p238 @p236)) % 43.84/44.05 (step @p523 :rule cong :premises (@p17 @p522) :args (@t138)) % 43.84/44.05 (step @p524 :rule trans :premises (@p523 @p232)) % 43.84/44.05 (step @p525 :rule instantiate :premises (@p22) :args (@t76)) % 43.84/44.05 (step @p526 :rule symm :premises (@p525)) % 43.84/44.05 (step @p527 :rule instantiate :premises (@p6) :args ((@list tptp.a @t29))) % 43.84/44.05 (step @p528 :rule symm :premises (@p527)) % 43.84/44.05 (step @p529 :rule trans :premises (@p528 @p526)) % 43.84/44.05 (step @p530 :rule cong :premises (@p154 @p529) :args ((tptp.meet @t29 @t139))) % 43.84/44.05 (step @p531 :rule instantiate :premises (@p33) :args ((@list @t29 tptp.a))) % 43.84/44.05 (step @p532 :rule trans :premises (@p531 @p530)) % 43.84/44.05 (step @p533 :rule trans :premises (@p369 @p532)) % 43.84/44.05 (step @p534 :rule cong :premises (@p533 @p524) :args (@t140)) % 43.84/44.05 (step @p535 :rule trans :premises (@p534 @p230 @p229 @p225 @p224 @p212 @p211 @p208 @p204 @p203)) % 43.84/44.05 (step @p536 :rule instantiate :premises (@p33) :args ((@list @t105 @t25))) % 43.84/44.05 (step @p537 :rule symm :premises (@p536)) % 43.84/44.05 (step @p538 :rule symm :premises (@p427)) % 43.84/44.05 (step @p539 :rule symm :premises (@p417)) % 43.84/44.05 (step @p540 :rule instantiate :premises (@p33) :args ((@list @t107 @t128))) % 43.84/44.05 (step @p541 :rule symm :premises (@p540)) % 43.84/44.05 (step @p542 :rule trans :premises (@p455 @p454 @p58 @p60 @p87 @p86 @p135 @p84 @p134 @p473)) % 43.84/44.05 (step @p543 :rule refl :args (@t107)) % 43.84/44.05 (step @p544 :rule cong :premises (@p543 @p542) :args ((tptp.join @t107 @t85))) % 43.84/44.05 (step @p545 :rule symm :premises (@p542)) % 43.84/44.05 (step @p546 :rule symm :premises (@p374)) % 43.84/44.05 (step @p547 :rule cong :premises (@p546 @p545) :args ((tptp.join @t106 @t128))) % 43.84/44.05 (step @p548 :rule instantiate :premises (@p8) :args ((@list @t29 @t26 @t128))) % 43.84/44.05 (step @p549 :rule symm :premises (@p548)) % 43.84/44.05 (step @p550 :rule trans :premises (@p58 @p60 @p87 @p86 @p135 @p84 @p134 @p133 @p468 @p470 @p476)) % 43.84/44.05 (step @p551 :rule cong :premises (@p154 @p550) :args ((tptp.join @t29 @t21))) % 43.84/44.05 (step @p552 :rule instantiate :premises (@p6) :args (@t141)) % 43.84/44.05 (step @p553 :rule instantiate :premises (@p22) :args ((@list @t36 @t21))) % 43.84/44.05 (step @p554 :rule symm :premises (@p553)) % 43.84/44.05 (step @p555 :rule instantiate :premises (@p5) :args ((@list @t21 @t36))) % 43.84/44.05 (step @p556 :rule instantiate :premises (@p33) :args (@t141)) % 43.84/44.05 (step @p557 :rule symm :premises (@p93)) % 43.84/44.05 (step @p558 :rule symm :premises (@p92)) % 43.84/44.05 (step @p559 :rule trans :premises (@p455 @p454 @p58 @p60 @p87 @p86 @p135 @p84 @p134 @p133 @p123)) % 43.84/44.05 (step @p560 :rule cong :premises (@p206 @p559) :args ((tptp.join @t26 @t85))) % 43.84/44.05 (step @p561 :rule symm :premises (@p556)) % 43.84/44.05 (step @p562 :rule symm :premises (@p555)) % 43.84/44.05 (step @p563 :rule trans :premises (@p562 @p561 @p461 @p460)) % 43.84/44.05 (step @p564 :rule cong :premises (@p213 @p563) :args (@t142)) % 43.84/44.05 (step @p565 :rule trans :premises (@p564 @p560 @p471 @p469 @p128 @p90 @p85 @p83 @p73 @p72 @p61 @p59)) % 43.84/44.05 (step @p566 :rule cong :premises (@p89 @p565) :args (@t143)) % 43.84/44.05 (step @p567 :rule trans :premises (@p566 @p558 @p557)) % 43.84/44.05 (step @p568 :rule cong :premises (@p172 @p567) :args (@t144)) % 43.84/44.05 (step @p569 :rule trans :premises (@p568 @p472 @p90 @p85 @p83 @p73 @p72 @p61 @p59 @p556 @p555)) % 43.84/44.05 (step @p570 :rule refl :args (@t36)) % 43.84/44.05 (step @p571 :rule cong :premises (@p570 @p569) :args (@t145)) % 43.84/44.05 (step @p572 :rule trans :premises (@p571 @p554 @p552 @p551 @p549 @p547 @p544)) % 43.84/44.05 (step @p573 :rule cong :premises (@p543 @p572) :args ((tptp.meet @t107 @t145))) % 43.84/44.05 (step @p574 :rule symm :premises (@p571)) % 43.84/44.05 (step @p575 :rule symm :premises (@p552)) % 43.84/44.05 (step @p576 :rule instantiate :premises (@p22) :args ((@list @t21 tptp.c))) % 43.84/44.05 (step @p577 :rule symm :premises (@p576)) % 43.84/44.05 (step @p578 :rule instantiate :premises (@p6) :args ((@list @t21 @t30))) % 43.84/44.05 (step @p579 :rule symm :premises (@p578)) % 43.84/44.05 (step @p580 :rule symm :premises (@p184)) % 43.84/44.05 (step @p581 :rule trans :premises (@p580 @p12)) % 43.84/44.05 (step @p582 :rule cong :premises (@p581 @p172) :args ((tptp.join @t55 @t21))) % 43.84/44.05 (step @p583 :rule instantiate :premises (@p8) :args ((@list @t55 tptp.b tptp.d))) % 43.84/44.05 (step @p584 :rule cong :premises (@p184 @p14) :args ((tptp.join @t27 tptp.b))) % 43.84/44.05 (step @p585 :rule trans :premises (@p50 @p584)) % 43.84/44.05 (step @p586 :rule cong :premises (@p585 @p63) :args (@t146)) % 43.84/44.05 (step @p587 :rule trans :premises (@p586 @p583 @p582 @p579 @p577)) % 43.84/44.05 (step @p588 :rule cong :premises (@p227 @p587) :args ((tptp.join @t77 @t146))) % 43.84/44.05 (step @p589 :rule instantiate :premises (@p8) :args ((@list @t77 @t28 tptp.d))) % 43.84/44.05 (step @p590 :rule trans :premises (@p315 @p317)) % 43.84/44.05 (step @p591 :rule symm :premises (@p585)) % 43.84/44.05 (step @p592 :rule trans :premises (@p591 @p590)) % 43.84/44.05 (step @p593 :rule cong :premises (@p592 @p63) :args ((tptp.join (tptp.join @t55 tptp.b) tptp.d))) % 43.84/44.05 (step @p594 :rule symm :premises (@p583)) % 43.84/44.05 (step @p595 :rule symm :premises (@p582)) % 43.84/44.05 (step @p596 :rule trans :premises (@p576 @p578 @p595 @p594 @p593 @p589 @p588 @p575 @p553 @p574)) % 43.84/44.05 (step @p597 :rule cong :premises (@p543 @p596) :args ((tptp.meet @t107 @t21))) % 43.84/44.05 (step @p598 :rule instantiate :premises (@p33) :args ((@list @t106 tptp.a))) % 43.84/44.05 (step @p599 :rule symm :premises (@p598)) % 43.84/44.05 (step @p600 :rule trans :premises (@p599 @p546)) % 43.84/44.05 (step @p601 :rule cong :premises (@p600 @p172) :args ((tptp.meet (tptp.meet @t106 @t147) @t21))) % 43.84/44.05 (step @p602 :rule instantiate :premises (@p7) :args ((@list @t106 @t147 @t21))) % 43.84/44.05 (step @p603 :rule symm :premises (@p602)) % 43.84/44.05 (step @p604 :rule instantiate :premises (@p8) :args ((@list @t29 @t26 tptp.a))) % 43.84/44.05 (step @p605 :rule symm :premises (@p604)) % 43.84/44.05 (step @p606 :rule symm :premises (@p218)) % 43.84/44.05 (step @p607 :rule cong :premises (@p154 @p606) :args (@t139)) % 43.84/44.05 (step @p608 :rule trans :premises (@p525 @p527 @p607 @p605)) % 43.84/44.05 (step @p609 :rule cong :premises (@p608 @p172) :args (@t22)) % 43.84/44.05 (step @p610 :rule symm :premises (@p242)) % 43.84/44.05 (step @p611 :rule instantiate :premises (@p7) :args ((@list tptp.a @t21 @t79))) % 43.84/44.05 (step @p612 :rule symm :premises (@p611)) % 43.84/44.05 (step @p613 :rule instantiate :premises (@p6) :args (@t44)) % 43.84/44.05 (step @p614 :rule cong :premises (@p144 @p613) :args ((tptp.meet (tptp.join tptp.d tptp.b) @t23))) % 43.84/44.05 (step @p615 :rule symm :premises (@p88)) % 43.84/44.05 (step @p616 :rule trans :premises (@p615 @p143)) % 43.84/44.05 (step @p617 :rule cong :premises (@p616 @p79) :args ((tptp.meet @t93 @t23))) % 43.84/44.05 (step @p618 :rule instantiate :premises (@p5) :args ((@list @t23 @t93))) % 43.84/44.05 (step @p619 :rule instantiate :premises (@p33) :args (@t48)) % 43.84/44.05 (step @p620 :rule symm :premises (@p243)) % 43.84/44.05 (step @p621 :rule cong :premises (@p79 @p620) :args (@t148)) % 43.84/44.05 (step @p622 :rule cong :premises (@p272 @p621) :args (@t149)) % 43.84/44.05 (step @p623 :rule trans :premises (@p622 @p276 @p259 @p258 @p255 @p619 @p618 @p617 @p614)) % 43.84/44.05 (step @p624 :rule cong :premises (@p140 @p623) :args ((tptp.meet tptp.a @t149))) % 43.84/44.05 (step @p625 :rule symm :premises (@p622)) % 43.84/44.05 (step @p626 :rule trans :premises (@p517 @p516 @p434 @p508 @p507 @p505 @p503 @p254 @p279 @p278 @p277 @p625)) % 43.84/44.05 (step @p627 :rule cong :premises (@p529 @p626) :args (@t150)) % 43.84/44.05 (step @p628 :rule trans :premises (@p627 @p624 @p612 @p610 @p609)) % 43.84/44.05 (step @p629 :rule symm :premises (@p373)) % 43.84/44.05 (step @p630 :rule symm :premises (@p370)) % 43.84/44.05 (step @p631 :rule trans :premises (@p361 @p630 @p629 @p598)) % 43.84/44.05 (step @p632 :rule trans :premises (@p631 @p600 @p374)) % 43.84/44.05 (step @p633 :rule cong :premises (@p632 @p628) :args ((tptp.meet @t29 @t150))) % 43.84/44.05 (step @p634 :rule instantiate :premises (@p7) :args ((@list @t29 @t139 @t135))) % 43.84/44.05 (step @p635 :rule symm :premises (@p517)) % 43.84/44.05 (step @p636 :rule instantiate :premises (@p22) :args ((@list @t23 @t23))) % 43.84/44.05 (step @p637 :rule symm :premises (@p636)) % 43.84/44.05 (step @p638 :rule cong :premises (@p637 @p149) :args ((tptp.join (tptp.join @t23 @t151) @t32))) % 43.84/44.05 (step @p639 :rule instantiate :premises (@p8) :args ((@list @t23 @t151 @t32))) % 43.84/44.05 (step @p640 :rule symm :premises (@p639)) % 43.84/44.05 (step @p641 :rule instantiate :premises (@p235) :args ((@list @t23))) % 43.84/44.05 (step @p642 :rule cong :premises (@p641 @p149) :args (@t99)) % 43.84/44.05 (step @p643 :rule cong :premises (@p79 @p500) :args (@t152)) % 43.84/44.05 (step @p644 :rule trans :premises (@p643 @p642)) % 43.84/44.05 (step @p645 :rule cong :premises (@p79 @p644) :args ((tptp.join @t23 @t152))) % 43.84/44.05 (step @p646 :rule symm :premises (@p643)) % 43.84/44.05 (step @p647 :rule trans :premises (@p436 @p646)) % 43.84/44.05 (step @p648 :rule cong :premises (@p79 @p647) :args (@t153)) % 43.84/44.05 (step @p649 :rule trans :premises (@p648 @p645 @p640 @p638 @p435 @p433 @p635)) % 43.84/44.05 (step @p650 :rule cong :premises (@p531 @p649) :args ((tptp.meet @t29 @t153))) % 43.84/44.05 (step @p651 :rule symm :premises (@p649)) % 43.84/44.05 (step @p652 :rule cong :premises (@p369 @p651) :args (@t154)) % 43.84/44.05 (step @p653 :rule trans :premises (@p652 @p650 @p634 @p633 @p603 @p601 @p597 @p573 @p541 @p374 @p373 @p370 @p362 @p226 @p367)) % 43.84/44.05 (step @p654 :rule cong :premises (@p17 @p653) :args (@t155)) % 43.84/44.05 (step @p655 :rule trans :premises (@p654 @p539)) % 43.84/44.05 (step @p656 :rule cong :premises (@p17 @p655) :args (@t156)) % 43.84/44.05 (step @p657 :rule trans :premises (@p656 @p425 @p538 @p428 @p407)) % 43.84/44.05 (step @p658 :rule cong :premises (@p408 @p657) :args (@t157)) % 43.84/44.05 (step @p659 :rule trans :premises (@p658 @p537 @p366 @p227)) % 43.84/44.05 (step @p660 :rule cong :premises (@p659 @p535) :args (@t158)) % 43.84/44.05 (step @p661 :rule trans :premises (@p660 @p11)) % 43.84/44.05 (step @p662 :rule false_elim :premises (@p661)) % 43.84/44.05 (assume-push @p677 @t20) % 43.84/44.05 (step @p664 :rule instantiate :premises (@p9) :args ((@list @t105 @t25 @t25 @t135))) % 43.84/44.05 (step-pop @p678 :rule scope :premises (@p664)) % 43.84/44.05 (step @p665 :rule process_scope :premises (@p678) :args (@t158)) % 43.84/44.05 (step @p667 :rule implies_elim :premises (@p665)) % 43.84/44.05 (step @p668 false :rule chain_m_resolution :premises (@p667 @p662 @p9) :args (false (@list true false) (@list @t158 @t20))) % 43.84/44.05 ) % 43.84/44.05 % SZS output end Proof % 43.84/44.05 % cvc5 exiting %------------------------------------------------------------------------------