%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT241-10 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:29:58 AM UTC 2026 % Result : Unsatisfiable 33.83s 34.51s % Output : Proof 33.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT241-10 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.34 % Computer : n023.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Jun 2 06:06:43 EDT 2026 % 0.14/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.61/15.90 --- Run --no-e-matching --full-saturate-quant at 6... % 21.70/21.94 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.70/27.97 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.69/34.01 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.83/34.51 % SZS status Unsatisfiable % 33.83/34.51 % SZS output start Proof % 33.83/34.52 ( % 33.83/34.52 (declare-sort $$unsorted 0) % 33.83/34.52 (declare-const tptp.a $$unsorted) % 33.83/34.52 (declare-const tptp.b $$unsorted) % 33.83/34.52 (declare-const tptp.one $$unsorted) % 33.83/34.52 (declare-const tptp.zero $$unsorted) % 33.83/34.52 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 33.83/34.52 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 33.83/34.52 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 33.83/34.52 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.83/34.52 (define @t1 () (@var "B" $$unsorted)) % 33.83/34.52 (define @t2 () (@var "C" $$unsorted)) % 33.83/34.52 (define @t3 () (@var "A" $$unsorted)) % 33.83/34.52 (define @t4 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 33.83/34.52 (define @t5 () (forall (@list @t3 @t1 @t2) (= @t4 @t1))) % 33.83/34.52 (define @t6 () (@var "X" $$unsorted)) % 33.83/34.52 (define @t7 () (tptp.meet @t6 @t6)) % 33.83/34.52 (define @t8 () (@list @t6)) % 33.83/34.52 (define @t9 () (forall @t8 (= @t7 @t6))) % 33.83/34.52 (define @t10 () (@var "Y" $$unsorted)) % 33.83/34.52 (define @t11 () (tptp.join @t6 @t10)) % 33.83/34.52 (define @t12 () (tptp.meet @t6 @t11)) % 33.83/34.52 (define @t13 () (@list @t6 @t10)) % 33.83/34.52 (define @t14 () (forall @t13 (= @t12 @t6))) % 33.83/34.52 (define @t15 () (tptp.meet @t6 @t10)) % 33.83/34.52 (define @t16 () (tptp.join @t6 @t15)) % 33.83/34.52 (define @t17 () (forall @t13 (= @t16 @t6))) % 33.83/34.52 (define @t18 () (@var "Z" $$unsorted)) % 33.83/34.52 (define @t19 () (@list @t6 @t10 @t18)) % 33.83/34.52 (define @t20 () (forall @t19 (= (tptp.meet @t15 @t18) (tptp.meet @t6 (tptp.meet @t10 @t18))))) % 33.83/34.52 (define @t21 () (tptp.complement @t6)) % 33.83/34.52 (define @t22 () (tptp.join @t6 @t21)) % 33.83/34.52 (define @t23 () (forall @t8 (= @t22 tptp.one))) % 33.83/34.52 (define @t24 () (tptp.meet @t6 @t21)) % 33.83/34.52 (define @t25 () (forall @t8 (= @t24 tptp.zero))) % 33.83/34.52 (define @t26 () (tptp.ifeq @t11 tptp.one (tptp.ifeq @t15 tptp.zero @t21 @t10) @t10)) % 33.83/34.52 (define @t27 () (forall @t13 (= @t26 @t10))) % 33.83/34.52 (define @t28 () (@var "U" $$unsorted)) % 33.83/34.52 (define @t29 () (tptp.meet tptp.b tptp.a)) % 33.83/34.52 (define @t30 () (tptp.complement tptp.a)) % 33.83/34.52 (define @t31 () (tptp.complement tptp.b)) % 33.83/34.52 (define @t32 () (tptp.join @t31 @t30)) % 33.83/34.52 (define @t33 () (@list @t31 @t30)) % 33.83/34.52 (define @t34 () (@list tptp.b tptp.a)) % 33.83/34.52 (define @t35 () (@list tptp.b)) % 33.83/34.52 (define @t36 () (@list tptp.a)) % 33.83/34.52 (define @t37 () (@list tptp.b @t31)) % 33.83/34.52 (define @t38 () (@list @t31)) % 33.83/34.52 (define @t39 () (tptp.complement @t31)) % 33.83/34.52 (define @t40 () (@list @t31 @t39)) % 33.83/34.52 (define @t41 () (tptp.meet @t31 @t32)) % 33.83/34.52 (define @t42 () (tptp.meet tptp.b tptp.b)) % 33.83/34.52 (define @t43 () (tptp.meet @t31 tptp.b)) % 33.83/34.52 (define @t44 () (tptp.ifeq @t43 tptp.zero @t39 tptp.b)) % 33.83/34.52 (define @t45 () (tptp.join @t31 tptp.b)) % 33.83/34.52 (define @t46 () (tptp.meet @t30 @t31)) % 33.83/34.52 (define @t47 () (tptp.meet @t30 tptp.a)) % 33.83/34.52 (define @t48 () (tptp.meet tptp.a tptp.b)) % 33.83/34.52 (define @t49 () (tptp.meet @t48 @t32)) % 33.83/34.52 (define @t50 () (tptp.meet tptp.a (tptp.meet tptp.b @t32))) % 33.83/34.52 (define @t51 () (= @t49 @t50)) % 33.83/34.52 (define @t52 () (@list tptp.a tptp.b @t32)) % 33.83/34.52 (define @t53 () (= @t50 @t49)) % 33.83/34.52 (define @t54 () (tptp.meet tptp.a @t32)) % 33.83/34.52 (define @t55 () (tptp.ifeq @t54 tptp.zero @t30 @t32)) % 33.83/34.52 (define @t56 () (tptp.join tptp.a @t32)) % 33.83/34.52 (define @t57 () (tptp.ifeq @t54 @t54 @t30 @t32)) % 33.83/34.52 (define @t58 () (= @t30 @t57)) % 33.83/34.52 (define @t59 () (not @t58)) % 33.83/34.52 (define @t60 () (tptp.ifeq @t56 @t56 @t55 @t32)) % 33.83/34.52 (define @t61 () (= @t55 @t60)) % 33.83/34.52 (define @t62 () (not @t61)) % 33.83/34.52 (define @t63 () (tptp.meet @t31 @t30)) % 33.83/34.52 (define @t64 () (tptp.meet @t39 @t31)) % 33.83/34.52 (define @t65 () (tptp.join @t39 @t30)) % 33.83/34.52 (define @t66 () (tptp.meet @t31 @t65)) % 33.83/34.52 (define @t67 () (tptp.join @t30 @t66)) % 33.83/34.52 (define @t68 () (tptp.meet @t39 @t67)) % 33.83/34.52 (define @t69 () (= @t68 (tptp.meet @t39 (tptp.join @t30 (tptp.join @t64 @t63))))) % 33.83/34.52 (define @t70 () (not @t69)) % 33.83/34.52 (define @t71 () (tptp.join @t30 @t41)) % 33.83/34.52 (define @t72 () (tptp.join tptp.a @t71)) % 33.83/34.52 (define @t73 () (tptp.join tptp.a @t30)) % 33.83/34.52 (define @t74 () (= (tptp.join @t73 @t41) @t72)) % 33.83/34.52 (define @t75 () (not @t74)) % 33.83/34.52 (define @t76 () (not @t53)) % 33.83/34.52 (define @t77 () (= @t32 (tptp.ifeq @t56 tptp.one @t55 @t32))) % 33.83/34.52 (define @t78 () (not @t77)) % 33.83/34.52 (define @t79 () (tptp.join @t47 @t46)) % 33.83/34.52 (define @t80 () (tptp.join @t30 @t79)) % 33.83/34.52 (define @t81 () (tptp.join @t30 @t47)) % 33.83/34.52 (define @t82 () (= (tptp.join @t81 @t46) @t80)) % 33.83/34.52 (define @t83 () (not @t82)) % 33.83/34.52 (define @t84 () (tptp.ifeq @t43 @t43 @t39 tptp.b)) % 33.83/34.52 (define @t85 () (= @t39 @t84)) % 33.83/34.52 (define @t86 () (not @t85)) % 33.83/34.52 (define @t87 () (tptp.ifeq @t45 @t45 @t44 tptp.b)) % 33.83/34.52 (define @t88 () (= @t44 @t87)) % 33.83/34.52 (define @t89 () (not @t88)) % 33.83/34.52 (define @t90 () (tptp.join @t29 @t30)) % 33.83/34.52 (define @t91 () (tptp.join tptp.b @t90)) % 33.83/34.52 (define @t92 () (tptp.join tptp.b @t29)) % 33.83/34.52 (define @t93 () (= (tptp.join @t92 @t30) @t91)) % 33.83/34.52 (define @t94 () (not @t93)) % 33.83/34.52 (define @t95 () (tptp.join tptp.b @t42)) % 33.83/34.52 (define @t96 () (tptp.join @t95 @t31)) % 33.83/34.52 (define @t97 () (= @t96 (tptp.join tptp.b (tptp.join @t42 @t31)))) % 33.83/34.52 (define @t98 () (not @t97)) % 33.83/34.52 (define @t99 () (= tptp.b (tptp.ifeq @t45 tptp.one @t44 tptp.b))) % 33.83/34.52 (define @t100 () (not @t99)) % 33.83/34.52 (define @t101 () (tptp.join @t30 @t46)) % 33.83/34.52 (define @t102 () (= @t30 @t101)) % 33.83/34.52 (define @t103 () (not @t102)) % 33.83/34.52 (define @t104 () (= @t30 @t81)) % 33.83/34.52 (define @t105 () (not @t104)) % 33.83/34.52 (define @t106 () (tptp.meet @t31 @t39)) % 33.83/34.52 (define @t107 () (= @t106 @t64)) % 33.83/34.52 (define @t108 () (not @t107)) % 33.83/34.52 (define @t109 () (tptp.join @t31 @t41)) % 33.83/34.52 (define @t110 () (tptp.join tptp.b @t31)) % 33.83/34.52 (define @t111 () (tptp.join @t110 @t41)) % 33.83/34.52 (define @t112 () (= @t111 (tptp.join tptp.b @t109))) % 33.83/34.52 (define @t113 () (not @t112)) % 33.83/34.52 (define @t114 () (tptp.join @t31 @t39)) % 33.83/34.52 (define @t115 () (= @t31 (tptp.meet @t31 @t114))) % 33.83/34.52 (define @t116 () (not @t115)) % 33.83/34.52 (define @t117 () (= tptp.zero @t106)) % 33.83/34.52 (define @t118 () (not @t117)) % 33.83/34.52 (define @t119 () (= tptp.one @t114)) % 33.83/34.52 (define @t120 () (not @t119)) % 33.83/34.52 (define @t121 () (tptp.meet tptp.b @t30)) % 33.83/34.52 (define @t122 () (tptp.meet tptp.a @t121)) % 33.83/34.52 (define @t123 () (= (tptp.meet @t48 @t30) @t122)) % 33.83/34.52 (define @t124 () (not @t123)) % 33.83/34.52 (define @t125 () (= @t110 @t45)) % 33.83/34.52 (define @t126 () (not @t125)) % 33.83/34.52 (define @t127 () (tptp.meet tptp.b @t31)) % 33.83/34.52 (define @t128 () (= @t127 @t43)) % 33.83/34.52 (define @t129 () (not @t128)) % 33.83/34.52 (define @t130 () (= @t63 @t46)) % 33.83/34.52 (define @t131 () (not @t130)) % 33.83/34.52 (define @t132 () (tptp.meet tptp.a @t30)) % 33.83/34.52 (define @t133 () (= @t132 @t47)) % 33.83/34.52 (define @t134 () (not @t133)) % 33.83/34.52 (define @t135 () (= tptp.b @t95)) % 33.83/34.52 (define @t136 () (not @t135)) % 33.83/34.52 (define @t137 () (= @t31 @t109)) % 33.83/34.52 (define @t138 () (not @t137)) % 33.83/34.52 (define @t139 () (= tptp.b @t42)) % 33.83/34.52 (define @t140 () (not @t139)) % 33.83/34.52 (define @t141 () (= tptp.zero @t132)) % 33.83/34.52 (define @t142 () (not @t141)) % 33.83/34.52 (define @t143 () (= tptp.zero @t127)) % 33.83/34.52 (define @t144 () (not @t143)) % 33.83/34.52 (define @t145 () (= tptp.one @t73)) % 33.83/34.52 (define @t146 () (not @t145)) % 33.83/34.52 (define @t147 () (= tptp.one @t110)) % 33.83/34.52 (define @t148 () (not @t147)) % 33.83/34.52 (define @t149 () (= @t32 (tptp.join @t30 @t31))) % 33.83/34.52 (define @t150 () (not @t149)) % 33.83/34.52 (define @t151 () (= @t29 @t48)) % 33.83/34.52 (define @t152 () (not @t151)) % 33.83/34.52 (define @t153 () (= tptp.b @t92)) % 33.83/34.52 (define @t154 () (not @t153)) % 33.83/34.52 (define @t155 () (= @t31 @t41)) % 33.83/34.52 (define @t156 () (not @t155)) % 33.83/34.52 (define @t157 () (= @t30 @t32)) % 33.83/34.52 (define @t158 () (= tptp.a @t29)) % 33.83/34.52 (define @t159 () (not @t158)) % 33.83/34.52 (define @t160 () (not @t157)) % 33.83/34.52 (define @t161 () (tptp.join tptp.b @t41)) % 33.83/34.52 (define @t162 () (and @t158 @t160 @t155 @t153 @t151 @t149 @t147 @t145 @t143 @t141 @t139 @t137 @t135 @t133 @t130 @t128 @t125 @t123 @t119 @t117 @t115 @t112 @t107 @t104 @t102 @t99 @t97 @t93 @t88 @t85 @t82 @t77 @t53 @t74 @t69 @t61)) % 33.83/34.52 (assume @p1 @t5) % 33.83/34.52 (assume @p2 @t9) % 33.83/34.52 (assume @p3 (forall @t8 (= (tptp.join @t6 @t6) @t6))) % 33.83/34.52 (assume @p4 @t14) % 33.83/34.52 (assume @p5 @t17) % 33.83/34.52 (assume @p6 (forall @t13 (= @t15 (tptp.meet @t10 @t6)))) % 33.83/34.52 (assume @p7 (forall @t13 (= @t11 (tptp.join @t10 @t6)))) % 33.83/34.52 (assume @p8 @t20) % 33.83/34.52 (assume @p9 (forall @t19 (= (tptp.join @t11 @t18) (tptp.join @t6 (tptp.join @t10 @t18))))) % 33.83/34.52 (assume @p10 @t23) % 33.83/34.52 (assume @p11 @t25) % 33.83/34.52 (assume @p12 @t27) % 33.83/34.52 (assume @p13 (forall (@list @t6 @t10 @t18 @t28) (= (tptp.meet @t6 (tptp.join @t10 (tptp.meet @t18 (tptp.join @t6 @t28)))) (tptp.meet @t6 (tptp.join @t10 (tptp.join (tptp.meet @t6 @t18) (tptp.meet @t18 @t28))))))) % 33.83/34.52 (assume @p14 (= @t29 tptp.a)) % 33.83/34.52 (assume @p15 (not (= @t32 @t30))) % 33.83/34.52 (step @p16 :rule symm :premises (@p14)) % 33.83/34.52 (step @p17 :rule symm :premises (@p15)) % 33.83/34.52 (step @p18 :rule eq-symm :args (@t12 @t6)) % 33.83/34.52 (step @p19 :rule cong :premises (@p18) :args (@t14)) % 33.83/34.52 (step @p20 :rule eq_resolve :premises (@p4 @p19)) % 33.83/34.52 (step @p21 :rule instantiate :premises (@p20) :args (@t33)) % 33.83/34.52 (step @p22 :rule eq-symm :args (@t16 @t6)) % 33.83/34.52 (step @p23 :rule cong :premises (@p22) :args (@t17)) % 33.83/34.52 (step @p24 :rule eq_resolve :premises (@p5 @p23)) % 33.83/34.52 (step @p25 :rule instantiate :premises (@p24) :args (@t34)) % 33.83/34.52 (step @p26 :rule instantiate :premises (@p6) :args (@t34)) % 33.83/34.52 (step @p27 :rule instantiate :premises (@p7) :args (@t33)) % 33.83/34.52 (step @p28 :rule eq-symm :args (@t22 tptp.one)) % 33.83/34.52 (step @p29 :rule cong :premises (@p28) :args (@t23)) % 33.83/34.52 (step @p30 :rule eq_resolve :premises (@p10 @p29)) % 33.83/34.52 (step @p31 :rule instantiate :premises (@p30) :args (@t35)) % 33.83/34.52 (step @p32 :rule instantiate :premises (@p30) :args (@t36)) % 33.83/34.52 (step @p33 :rule eq-symm :args (@t24 tptp.zero)) % 33.83/34.52 (step @p34 :rule cong :premises (@p33) :args (@t25)) % 33.83/34.52 (step @p35 :rule eq_resolve :premises (@p11 @p34)) % 33.83/34.52 (step @p36 :rule instantiate :premises (@p35) :args (@t35)) % 33.83/34.52 (step @p37 :rule instantiate :premises (@p35) :args (@t36)) % 33.83/34.52 (step @p38 :rule eq-symm :args (@t7 @t6)) % 33.83/34.52 (step @p39 :rule cong :premises (@p38) :args (@t9)) % 33.83/34.52 (step @p40 :rule eq_resolve :premises (@p2 @p39)) % 33.83/34.52 (step @p41 :rule instantiate :premises (@p40) :args (@t35)) % 33.83/34.52 (step @p42 :rule instantiate :premises (@p24) :args ((@list @t31 @t32))) % 33.83/34.52 (step @p43 :rule instantiate :premises (@p24) :args ((@list tptp.b tptp.b))) % 33.83/34.52 (step @p44 :rule instantiate :premises (@p6) :args ((@list tptp.a @t30))) % 33.83/34.52 (step @p45 :rule instantiate :premises (@p6) :args (@t33)) % 33.83/34.52 (step @p46 :rule instantiate :premises (@p6) :args (@t37)) % 33.83/34.52 (step @p47 :rule instantiate :premises (@p7) :args (@t37)) % 33.83/34.52 (step @p48 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.b @t30))) % 33.83/34.52 (step @p49 :rule instantiate :premises (@p30) :args (@t38)) % 33.83/34.52 (step @p50 :rule instantiate :premises (@p35) :args (@t38)) % 33.83/34.52 (step @p51 :rule instantiate :premises (@p20) :args (@t40)) % 33.83/34.52 (step @p52 :rule instantiate :premises (@p9) :args ((@list tptp.b @t31 @t41))) % 33.83/34.52 (step @p53 :rule instantiate :premises (@p6) :args (@t40)) % 33.83/34.52 (step @p54 :rule instantiate :premises (@p24) :args ((@list @t30 tptp.a))) % 33.83/34.52 (step @p55 :rule instantiate :premises (@p24) :args ((@list @t30 @t31))) % 33.83/34.52 (step @p56 :rule eq-symm :args (@t26 @t10)) % 33.83/34.52 (step @p57 :rule cong :premises (@p56) :args (@t27)) % 33.83/34.52 (step @p58 :rule eq_resolve :premises (@p12 @p57)) % 33.83/34.52 (step @p59 :rule instantiate :premises (@p58) :args ((@list @t31 tptp.b))) % 33.83/34.52 (step @p60 :rule instantiate :premises (@p9) :args ((@list tptp.b @t42 @t31))) % 33.83/34.52 (step @p61 :rule instantiate :premises (@p9) :args ((@list tptp.b @t29 @t30))) % 33.83/34.52 (step @p62 :rule eq-symm :args (@t4 @t1)) % 33.83/34.52 (step @p63 :rule cong :premises (@p62) :args (@t5)) % 33.83/34.52 (step @p64 :rule eq_resolve :premises (@p1 @p63)) % 33.83/34.52 (step @p65 :rule instantiate :premises (@p64) :args ((@list @t45 @t44 tptp.b))) % 33.83/34.52 (step @p66 :rule instantiate :premises (@p64) :args ((@list @t43 @t39 tptp.b))) % 33.83/34.52 (step @p67 :rule instantiate :premises (@p9) :args ((@list @t30 @t47 @t46))) % 33.83/34.52 (step @p68 :rule instantiate :premises (@p58) :args ((@list tptp.a @t32))) % 33.83/34.52 (step @p69 :rule eq-symm :args (@t49 @t50)) % 33.83/34.52 (step @p70 :rule refl :args (@t20)) % 33.83/34.52 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t20 @t51))) % 33.83/34.52 (assume-push @p297 @t20) % 33.83/34.52 (step @p73 :rule instantiate :premises (@p8) :args (@t52)) % 33.83/34.52 (step-pop @p298 :rule scope :premises (@p73)) % 33.83/34.52 (step @p74 :rule process_scope :premises (@p298) :args (@t51)) % 33.83/34.52 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 33.83/34.52 (step @p77 :rule implies_elim :premises (@p76)) % 33.83/34.52 (step @p78 :rule chain_m_resolution :premises (@p77 @p8) :args (@t53 (@list false) (@list @t20))) % 33.83/34.52 (step @p79 :rule instantiate :premises (@p9) :args ((@list tptp.a @t30 @t41))) % 33.83/34.52 (step @p80 :rule instantiate :premises (@p13) :args ((@list @t39 @t30 @t31 @t30))) % 33.83/34.52 (step @p81 :rule instantiate :premises (@p64) :args ((@list @t56 @t55 @t32))) % 33.83/34.52 (step @p82 :rule instantiate :premises (@p64) :args ((@list @t54 @t30 @t32))) % 33.83/34.52 (step @p83 :rule refl :args (@t59)) % 33.83/34.52 (step @p84 :rule refl :args (@t62)) % 33.83/34.52 (step @p85 :rule refl :args (@t70)) % 33.83/34.52 (step @p86 :rule refl :args (@t75)) % 33.83/34.52 (step @p87 :rule refl :args (@t76)) % 33.83/34.52 (step @p88 :rule refl :args (@t78)) % 33.83/34.52 (step @p89 :rule refl :args (@t83)) % 33.83/34.52 (step @p90 :rule refl :args (@t86)) % 33.83/34.52 (step @p91 :rule refl :args (@t89)) % 33.83/34.52 (step @p92 :rule refl :args (@t94)) % 33.83/34.52 (step @p93 :rule refl :args (@t98)) % 33.83/34.52 (step @p94 :rule refl :args (@t100)) % 33.83/34.52 (step @p95 :rule refl :args (@t103)) % 33.83/34.52 (step @p96 :rule refl :args (@t105)) % 33.83/34.52 (step @p97 :rule refl :args (@t108)) % 33.83/34.52 (step @p98 :rule refl :args (@t113)) % 33.83/34.52 (step @p99 :rule refl :args (@t116)) % 33.83/34.52 (step @p100 :rule refl :args (@t118)) % 33.83/34.52 (step @p101 :rule refl :args (@t120)) % 33.83/34.52 (step @p102 :rule refl :args (@t124)) % 33.83/34.52 (step @p103 :rule refl :args (@t126)) % 33.83/34.52 (step @p104 :rule refl :args (@t129)) % 33.83/34.52 (step @p105 :rule refl :args (@t131)) % 33.83/34.52 (step @p106 :rule refl :args (@t134)) % 33.83/34.52 (step @p107 :rule refl :args (@t136)) % 33.83/34.52 (step @p108 :rule refl :args (@t138)) % 33.83/34.52 (step @p109 :rule refl :args (@t140)) % 33.83/34.52 (step @p110 :rule refl :args (@t142)) % 33.83/34.52 (step @p111 :rule refl :args (@t144)) % 33.83/34.52 (step @p112 :rule refl :args (@t146)) % 33.83/34.52 (step @p113 :rule refl :args (@t148)) % 33.83/34.52 (step @p114 :rule refl :args (@t150)) % 33.83/34.52 (step @p115 :rule refl :args (@t152)) % 33.83/34.52 (step @p116 :rule refl :args (@t154)) % 33.83/34.52 (step @p117 :rule refl :args (@t156)) % 33.83/34.52 (step @p118 :rule bool-double-not-elim :args (@t157)) % 33.83/34.52 (step @p119 :rule refl :args (@t159)) % 33.83/34.52 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p83) :args ((or @t159 (not @t160) @t156 @t154 @t152 @t150 @t148 @t146 @t144 @t142 @t140 @t138 @t136 @t134 @t131 @t129 @t126 @t124 @t120 @t118 @t116 @t113 @t108 @t105 @t103 @t100 @t98 @t94 @t89 @t86 @t83 @t78 @t76 @t75 @t70 @t62 @t59))) % 33.83/34.52 (assume-push @p299 @t158) % 33.83/34.52 (assume-push @p300 @t160) % 33.83/34.52 (assume-push @p301 @t155) % 33.83/34.52 (assume-push @p302 @t153) % 33.83/34.52 (assume-push @p303 @t151) % 33.83/34.52 (assume-push @p304 @t149) % 33.83/34.52 (assume-push @p305 @t147) % 33.83/34.52 (assume-push @p306 @t145) % 33.83/34.52 (assume-push @p307 @t143) % 33.83/34.52 (assume-push @p308 @t141) % 33.83/34.52 (assume-push @p309 @t139) % 33.83/34.52 (assume-push @p310 @t137) % 33.83/34.52 (assume-push @p311 @t135) % 33.83/34.52 (assume-push @p312 @t133) % 33.83/34.52 (assume-push @p313 @t130) % 33.83/34.52 (assume-push @p314 @t128) % 33.83/34.52 (assume-push @p315 @t125) % 33.83/34.52 (assume-push @p316 @t123) % 33.83/34.52 (assume-push @p317 @t119) % 33.83/34.52 (assume-push @p318 @t117) % 33.83/34.52 (assume-push @p319 @t115) % 33.83/34.52 (assume-push @p320 @t112) % 33.83/34.52 (assume-push @p321 @t107) % 33.83/34.52 (assume-push @p322 @t104) % 33.83/34.52 (assume-push @p323 @t102) % 33.83/34.52 (assume-push @p324 @t99) % 33.83/34.52 (assume-push @p325 @t97) % 33.83/34.52 (assume-push @p326 @t93) % 33.83/34.52 (assume-push @p327 @t88) % 33.83/34.52 (assume-push @p328 @t85) % 33.83/34.52 (assume-push @p329 @t82) % 33.83/34.52 (assume-push @p330 @t77) % 33.83/34.52 (assume-push @p331 @t53) % 33.83/34.52 (assume-push @p332 @t74) % 33.83/34.52 (assume-push @p333 @t69) % 33.83/34.52 (assume-push @p334 @t61) % 33.83/34.52 (step @p157 :rule false_intro :premises (@p17)) % 33.83/34.52 (step @p158 :rule symm :premises (@p68)) % 33.83/34.52 (step @p159 :rule refl :args (@t32)) % 33.83/34.52 (step @p160 :rule refl :args (@t55)) % 33.83/34.52 (step @p161 :rule symm :premises (@p31)) % 33.83/34.52 (step @p162 :rule refl :args (tptp.b)) % 33.83/34.52 (step @p163 :rule cong :premises (@p162 @p42) :args (@t110)) % 33.83/34.52 (step @p164 :rule symm :premises (@p163)) % 33.83/34.52 (step @p165 :rule refl :args (@t41)) % 33.83/34.52 (step @p166 :rule trans :premises (@p161 @p32)) % 33.83/34.52 (step @p167 :rule cong :premises (@p166 @p165) :args (@t111)) % 33.83/34.52 (step @p168 :rule symm :premises (@p167)) % 33.83/34.52 (step @p169 :rule symm :premises (@p79)) % 33.83/34.52 (step @p170 :rule symm :premises (@p27)) % 33.83/34.52 (step @p171 :rule symm :premises (@p21)) % 33.83/34.52 (step @p172 :rule refl :args (@t30)) % 33.83/34.52 (step @p173 :rule cong :premises (@p172 @p171) :args (@t71)) % 33.83/34.52 (step @p174 :rule trans :premises (@p173 @p170)) % 33.83/34.52 (step @p175 :rule refl :args (tptp.a)) % 33.83/34.52 (step @p176 :rule cong :premises (@p175 @p174) :args (@t72)) % 33.83/34.52 (step @p177 :rule symm :premises (@p176)) % 33.83/34.52 (step @p178 :rule trans :premises (@p177 @p169 @p168 @p52 @p164 @p161)) % 33.83/34.52 (step @p179 :rule refl :args (@t56)) % 33.83/34.52 (step @p180 :rule cong :premises (@p179 @p178 @p160 @p159) :args (@t60)) % 33.83/34.52 (step @p181 :rule symm :premises (@p37)) % 33.83/34.52 (step @p182 :rule symm :premises (@p26)) % 33.83/34.52 (step @p183 :rule trans :premises (@p182 @p14)) % 33.83/34.52 (step @p184 :rule symm :premises (@p183)) % 33.83/34.52 (step @p185 :rule cong :premises (@p184 @p172) :args (@t132)) % 33.83/34.52 (step @p186 :rule symm :premises (@p185)) % 33.83/34.52 (step @p187 :rule symm :premises (@p48)) % 33.83/34.52 (step @p188 :rule symm :premises (@p51)) % 33.83/34.52 (step @p189 :rule cong :premises (@p162 @p171) :args (@t161)) % 33.83/34.52 (step @p190 :rule trans :premises (@p189 @p161 @p49)) % 33.83/34.52 (step @p191 :rule refl :args (@t31)) % 33.83/34.52 (step @p192 :rule cong :premises (@p191 @p190) :args ((tptp.meet @t31 @t161))) % 33.83/34.52 (step @p193 :rule symm :premises (@p189)) % 33.83/34.52 (step @p194 :rule symm :premises (@p43)) % 33.83/34.52 (step @p195 :rule cong :premises (@p194 @p191) :args (@t96)) % 33.83/34.52 (step @p196 :rule symm :premises (@p60)) % 33.83/34.52 (step @p197 :rule cong :premises (@p41 @p191) :args (@t110)) % 33.83/34.52 (step @p198 :rule cong :premises (@p162 @p197) :args ((tptp.join tptp.b @t110))) % 33.83/34.52 (step @p199 :rule symm :premises (@p32)) % 33.83/34.52 (step @p200 :rule cong :premises (@p14 @p172) :args (@t90)) % 33.83/34.52 (step @p201 :rule trans :premises (@p200 @p199 @p31)) % 33.83/34.52 (step @p202 :rule cong :premises (@p162 @p201) :args (@t91)) % 33.83/34.52 (step @p203 :rule cong :premises (@p25 @p172) :args ((tptp.join tptp.b @t30))) % 33.83/34.52 (step @p204 :rule symm :premises (@p59)) % 33.83/34.52 (step @p205 :rule refl :args (@t44)) % 33.83/34.52 (step @p206 :rule symm :premises (@p47)) % 33.83/34.52 (step @p207 :rule trans :premises (@p206 @p161)) % 33.83/34.52 (step @p208 :rule refl :args (@t45)) % 33.83/34.52 (step @p209 :rule cong :premises (@p208 @p207 @p205 @p162) :args (@t87)) % 33.83/34.52 (step @p210 :rule refl :args (@t39)) % 33.83/34.52 (step @p211 :rule symm :premises (@p36)) % 33.83/34.52 (step @p212 :rule symm :premises (@p46)) % 33.83/34.52 (step @p213 :rule trans :premises (@p212 @p211)) % 33.83/34.52 (step @p214 :rule refl :args (@t43)) % 33.83/34.52 (step @p215 :rule cong :premises (@p214 @p213 @p210 @p162) :args (@t84)) % 33.83/34.52 (step @p216 :rule trans :premises (@p66 @p215 @p65 @p209 @p204)) % 33.83/34.52 (step @p217 :rule cong :premises (@p216 @p172) :args (@t65)) % 33.83/34.52 (step @p218 :rule trans :premises (@p217 @p203 @p61 @p202 @p198 @p196 @p195 @p193)) % 33.83/34.52 (step @p219 :rule cong :premises (@p191 @p218) :args (@t66)) % 33.83/34.52 (step @p220 :rule trans :premises (@p219 @p192 @p188)) % 33.83/34.52 (step @p221 :rule cong :premises (@p172 @p220) :args (@t67)) % 33.83/34.52 (step @p222 :rule trans :premises (@p221 @p170)) % 33.83/34.52 (step @p223 :rule cong :premises (@p216 @p222) :args (@t68)) % 33.83/34.52 (step @p224 :rule symm :premises (@p80)) % 33.83/34.52 (step @p225 :rule refl :args (@t63)) % 33.83/34.52 (step @p226 :rule cong :premises (@p53 @p225) :args ((tptp.join @t106 @t63))) % 33.83/34.52 (step @p227 :rule symm :premises (@p45)) % 33.83/34.52 (step @p228 :rule symm :premises (@p50)) % 33.83/34.52 (step @p229 :rule trans :premises (@p228 @p36)) % 33.83/34.52 (step @p230 :rule symm :premises (@p229)) % 33.83/34.52 (step @p231 :rule symm :premises (@p44)) % 33.83/34.52 (step @p232 :rule trans :premises (@p231 @p181 @p36)) % 33.83/34.52 (step @p233 :rule trans :premises (@p232 @p230)) % 33.83/34.52 (step @p234 :rule cong :premises (@p233 @p227) :args (@t79)) % 33.83/34.52 (step @p235 :rule trans :premises (@p234 @p226)) % 33.83/34.52 (step @p236 :rule cong :premises (@p172 @p235) :args (@t80)) % 33.83/34.52 (step @p237 :rule refl :args (@t46)) % 33.83/34.52 (step @p238 :rule cong :premises (@p54 @p237) :args (@t101)) % 33.83/34.52 (step @p239 :rule trans :premises (@p55 @p238 @p67 @p236)) % 33.83/34.52 (step @p240 :rule symm :premises (@p216)) % 33.83/34.52 (step @p241 :rule cong :premises (@p240 @p239) :args (@t121)) % 33.83/34.52 (step @p242 :rule trans :premises (@p241 @p224 @p223)) % 33.83/34.52 (step @p243 :rule cong :premises (@p175 @p242) :args (@t122)) % 33.83/34.52 (step @p244 :rule symm :premises (@p243)) % 33.83/34.52 (step @p73 :rule instantiate :premises (@p8) :args (@t52)) % 33.83/34.52 (step @p245 :rule cong :premises (@p183 @p159) :args (@t49)) % 33.83/34.52 (step @p246 :rule symm :premises (@p245)) % 33.83/34.52 (step @p247 :rule trans :premises (@p246 @p73 @p244 @p187 @p186 @p181)) % 33.83/34.52 (step @p248 :rule refl :args (@t54)) % 33.83/34.52 (step @p249 :rule cong :premises (@p248 @p247 @p172 @p159) :args (@t57)) % 33.83/34.52 (step @p250 :rule trans :premises (@p249 @p81 @p180 @p158)) % 33.83/34.52 (step @p251 :rule cong :premises (@p172 @p250) :args (@t58)) % 33.83/34.52 (step @p252 :rule trans :premises (@p251 @p157)) % 33.83/34.52 (step @p253 :rule false_elim :premises (@p252)) % 33.83/34.52 (step-pop @p335 :rule scope :premises (@p253)) % 33.83/34.52 (step-pop @p336 :rule scope :premises (@p335)) % 33.83/34.52 (step-pop @p337 :rule scope :premises (@p336)) % 33.83/34.52 (step-pop @p338 :rule scope :premises (@p337)) % 33.83/34.52 (step-pop @p339 :rule scope :premises (@p338)) % 33.83/34.52 (step-pop @p340 :rule scope :premises (@p339)) % 33.83/34.52 (step-pop @p341 :rule scope :premises (@p340)) % 33.83/34.52 (step-pop @p342 :rule scope :premises (@p341)) % 33.83/34.52 (step-pop @p343 :rule scope :premises (@p342)) % 33.83/34.52 (step-pop @p344 :rule scope :premises (@p343)) % 33.83/34.52 (step-pop @p345 :rule scope :premises (@p344)) % 33.83/34.52 (step-pop @p346 :rule scope :premises (@p345)) % 33.83/34.52 (step-pop @p347 :rule scope :premises (@p346)) % 33.83/34.52 (step-pop @p348 :rule scope :premises (@p347)) % 33.83/34.52 (step-pop @p349 :rule scope :premises (@p348)) % 33.83/34.52 (step-pop @p350 :rule scope :premises (@p349)) % 33.83/34.52 (step-pop @p351 :rule scope :premises (@p350)) % 33.83/34.52 (step-pop @p352 :rule scope :premises (@p351)) % 33.83/34.52 (step-pop @p353 :rule scope :premises (@p352)) % 33.83/34.52 (step-pop @p354 :rule scope :premises (@p353)) % 33.83/34.52 (step-pop @p355 :rule scope :premises (@p354)) % 33.83/34.52 (step-pop @p356 :rule scope :premises (@p355)) % 33.83/34.52 (step-pop @p357 :rule scope :premises (@p356)) % 33.83/34.52 (step-pop @p358 :rule scope :premises (@p357)) % 33.83/34.52 (step-pop @p359 :rule scope :premises (@p358)) % 33.83/34.52 (step-pop @p360 :rule scope :premises (@p359)) % 33.83/34.52 (step-pop @p361 :rule scope :premises (@p360)) % 33.83/34.52 (step-pop @p362 :rule scope :premises (@p361)) % 33.83/34.52 (step-pop @p363 :rule scope :premises (@p362)) % 33.83/34.52 (step-pop @p364 :rule scope :premises (@p363)) % 33.83/34.52 (step-pop @p365 :rule scope :premises (@p364)) % 33.83/34.52 (step-pop @p366 :rule scope :premises (@p365)) % 33.83/34.52 (step-pop @p367 :rule scope :premises (@p366)) % 33.83/34.52 (step-pop @p368 :rule scope :premises (@p367)) % 33.83/34.52 (step-pop @p369 :rule scope :premises (@p368)) % 33.83/34.52 (step-pop @p370 :rule scope :premises (@p369)) % 33.83/34.52 (step @p254 :rule process_scope :premises (@p370) :args (@t59)) % 33.83/34.52 (step @p291 :rule implies_elim :premises (@p254)) % 33.83/34.52 (step @p292 :rule cnf_and_neg :args (@t162)) % 33.83/34.52 (step @p293 :rule resolution :premises (@p292 @p291) :args (true @t162)) % 33.83/34.52 (step @p294 :rule eq_resolve :premises (@p293 @p120)) % 33.83/34.52 (step @p295 :rule reordering :premises (@p294) :args ((or @t157 @t159 @t156 @t154 @t152 @t150 @t148 @t146 @t144 @t142 @t140 @t138 @t136 @t134 @t131 @t129 @t126 @t124 @t120 @t118 @t116 @t113 @t108 @t105 @t103 @t100 @t98 @t94 @t89 @t86 @t83 @t78 @t76 @t75 @t70 @t62 @t59))) % 33.83/34.52 (step @p296 false :rule chain_m_resolution :premises (@p295 @p82 @p81 @p80 @p79 @p78 @p68 @p67 @p66 @p65 @p61 @p60 @p59 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p37 @p36 @p32 @p31 @p27 @p26 @p25 @p21 @p17 @p16) :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 false false false false true false) (@list @t58 @t61 @t69 @t74 @t53 @t77 @t82 @t85 @t88 @t93 @t97 @t99 @t102 @t104 @t107 @t112 @t115 @t117 @t119 @t123 @t125 @t128 @t130 @t133 @t135 @t137 @t139 @t141 @t143 @t145 @t147 @t149 @t151 @t153 @t155 @t157 @t158))) % 33.83/34.52 ) % 33.83/34.52 % SZS output end Proof % 33.83/34.52 % cvc5 exiting %------------------------------------------------------------------------------