%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT028-1 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:29:38 AM UTC 2026 % Result : Unsatisfiable 0.52s 0.73s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT028-1 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n013.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 05:44:00 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----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... % 0.52/0.73 % SZS status Unsatisfiable % 0.52/0.73 % SZS output start Proof % 0.52/0.73 ( % 0.52/0.73 (declare-sort $$unsorted 0) % 0.52/0.73 (declare-const tptp.a $$unsorted) % 0.52/0.73 (declare-const tptp.b $$unsorted) % 0.52/0.73 (declare-const tptp.meet2 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.73 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.73 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.73 (define @t1 () (@var "X" $$unsorted)) % 0.52/0.73 (define @t2 () (tptp.meet @t1 @t1)) % 0.52/0.73 (define @t3 () (@list @t1)) % 0.52/0.73 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.52/0.73 (define @t5 () (tptp.join @t1 @t1)) % 0.52/0.73 (define @t6 () (forall @t3 (= @t5 @t1))) % 0.52/0.73 (define @t7 () (@var "Y" $$unsorted)) % 0.52/0.73 (define @t8 () (tptp.meet @t1 @t7)) % 0.52/0.73 (define @t9 () (@list @t1 @t7)) % 0.52/0.73 (define @t10 () (tptp.join @t1 @t7)) % 0.52/0.73 (define @t11 () (@var "Z" $$unsorted)) % 0.52/0.73 (define @t12 () (tptp.join @t11 @t7)) % 0.52/0.73 (define @t13 () (tptp.meet (tptp.meet @t10 @t12) @t7)) % 0.52/0.73 (define @t14 () (@list @t1 @t7 @t11)) % 0.52/0.73 (define @t15 () (forall @t14 (= @t13 @t7))) % 0.52/0.73 (define @t16 () (tptp.join (tptp.join @t8 (tptp.meet @t11 @t7)) @t7)) % 0.52/0.73 (define @t17 () (forall @t14 (= @t16 @t7))) % 0.52/0.73 (define @t18 () (tptp.meet2 @t1 @t1)) % 0.52/0.73 (define @t19 () (forall @t3 (= @t18 @t1))) % 0.52/0.73 (define @t20 () (tptp.meet2 @t1 @t7)) % 0.52/0.73 (define @t21 () (tptp.meet2 (tptp.meet2 @t10 @t12) @t7)) % 0.52/0.73 (define @t22 () (forall @t14 (= @t21 @t7))) % 0.52/0.73 (define @t23 () (tptp.join (tptp.join @t20 (tptp.meet2 @t11 @t7)) @t7)) % 0.52/0.73 (define @t24 () (forall @t14 (= @t23 @t7))) % 0.52/0.73 (define @t25 () (tptp.meet2 tptp.a tptp.b)) % 0.52/0.73 (define @t26 () (tptp.meet tptp.a tptp.b)) % 0.52/0.73 (define @t27 () (= @t26 @t25)) % 0.52/0.73 (define @t28 () (not @t27)) % 0.52/0.73 (define @t29 () (@list tptp.a tptp.b)) % 0.52/0.73 (define @t30 () (@list tptp.a)) % 0.52/0.73 (define @t31 () (@list tptp.b tptp.a tptp.b)) % 0.52/0.73 (define @t32 () (tptp.meet @t25 tptp.b)) % 0.52/0.73 (define @t33 () (tptp.meet tptp.b tptp.a)) % 0.52/0.73 (define @t34 () (tptp.join @t33 @t33)) % 0.52/0.73 (define @t35 () (tptp.meet tptp.b @t25)) % 0.52/0.73 (define @t36 () (tptp.join @t35 @t35)) % 0.52/0.73 (define @t37 () (tptp.meet2 tptp.b tptp.a)) % 0.52/0.73 (define @t38 () (tptp.join @t37 @t37)) % 0.52/0.73 (define @t39 () (tptp.join @t25 @t25)) % 0.52/0.73 (define @t40 () (tptp.join @t36 @t25)) % 0.52/0.73 (define @t41 () (tptp.join @t26 @t32)) % 0.52/0.73 (define @t42 () (@list @t41)) % 0.52/0.73 (define @t43 () (tptp.join tptp.b @t38)) % 0.52/0.73 (define @t44 () (tptp.join tptp.a @t38)) % 0.52/0.73 (define @t45 () (tptp.meet @t44 @t43)) % 0.52/0.73 (define @t46 () (tptp.join @t25 @t36)) % 0.52/0.73 (define @t47 () (tptp.meet @t46 @t46)) % 0.52/0.73 (define @t48 () (tptp.join @t32 @t26)) % 0.52/0.73 (define @t49 () (tptp.meet @t48 @t48)) % 0.52/0.73 (define @t50 () (tptp.join @t26 @t26)) % 0.52/0.73 (define @t51 () (tptp.join tptp.a @t26)) % 0.52/0.73 (define @t52 () (tptp.meet2 @t41 @t41)) % 0.52/0.73 (define @t53 () (tptp.join @t26 @t34)) % 0.52/0.73 (define @t54 () (tptp.meet2 @t53 tptp.a)) % 0.52/0.73 (define @t55 () (tptp.join @t37 @t54)) % 0.52/0.73 (define @t56 () (tptp.meet @t51 @t48)) % 0.52/0.73 (define @t57 () (tptp.meet @t26 @t49)) % 0.52/0.73 (define @t58 () (tptp.join @t57 @t57)) % 0.52/0.73 (define @t59 () (tptp.join tptp.a @t55)) % 0.52/0.73 (define @t60 () (tptp.join tptp.b @t55)) % 0.52/0.73 (define @t61 () (tptp.meet2 @t60 @t59)) % 0.52/0.73 (define @t62 () (tptp.meet2 @t61 @t55)) % 0.52/0.73 (define @t63 () (= @t55 @t62)) % 0.52/0.73 (define @t64 () (not @t63)) % 0.52/0.73 (define @t65 () (tptp.join @t49 @t58)) % 0.52/0.73 (define @t66 () (tptp.join @t58 @t49)) % 0.52/0.73 (define @t67 () (= @t66 @t65)) % 0.52/0.73 (define @t68 () (not @t67)) % 0.52/0.73 (define @t69 () (tptp.meet @t56 @t26)) % 0.52/0.73 (define @t70 () (= @t26 (tptp.join (tptp.join @t69 (tptp.meet @t38 @t26)) @t26))) % 0.52/0.73 (define @t71 () (not @t70)) % 0.52/0.73 (define @t72 () (= @t49 @t66)) % 0.52/0.73 (define @t73 () (not @t72)) % 0.52/0.73 (define @t74 () (tptp.join @t55 tptp.a)) % 0.52/0.73 (define @t75 () (= @t74 @t59)) % 0.52/0.73 (define @t76 () (not @t75)) % 0.52/0.73 (define @t77 () (= tptp.a @t74)) % 0.52/0.73 (define @t78 () (not @t77)) % 0.52/0.73 (define @t79 () (tptp.join tptp.a @t34)) % 0.52/0.73 (define @t80 () (= @t34 (tptp.meet2 (tptp.meet2 @t79 @t79) @t34))) % 0.52/0.73 (define @t81 () (not @t80)) % 0.52/0.73 (define @t82 () (tptp.meet2 @t52 @t32)) % 0.52/0.73 (define @t83 () (= @t82 (tptp.meet2 @t32 @t52))) % 0.52/0.73 (define @t84 () (not @t83)) % 0.52/0.73 (define @t85 () (tptp.meet2 @t51 @t50)) % 0.52/0.73 (define @t86 () (= @t85 (tptp.meet2 @t50 @t51))) % 0.52/0.73 (define @t87 () (not @t86)) % 0.52/0.73 (define @t88 () (= @t41 @t52)) % 0.52/0.73 (define @t89 () (not @t88)) % 0.52/0.73 (define @t90 () (= @t26 @t69)) % 0.52/0.73 (define @t91 () (not @t90)) % 0.52/0.73 (define @t92 () (tptp.meet @t49 @t26)) % 0.52/0.73 (define @t93 () (= @t92 @t57)) % 0.52/0.73 (define @t94 () (not @t93)) % 0.52/0.73 (define @t95 () (tptp.meet @t47 @t36)) % 0.52/0.73 (define @t96 () (= @t95 (tptp.meet @t36 @t47))) % 0.52/0.73 (define @t97 () (not @t96)) % 0.52/0.73 (define @t98 () (tptp.meet @t38 @t45)) % 0.52/0.73 (define @t99 () (tptp.meet @t45 @t38)) % 0.52/0.73 (define @t100 () (= @t99 @t98)) % 0.52/0.73 (define @t101 () (not @t100)) % 0.52/0.73 (define @t102 () (= @t41 (tptp.meet @t41 @t41))) % 0.52/0.73 (define @t103 () (not @t102)) % 0.52/0.73 (define @t104 () (= @t32 @t82)) % 0.52/0.73 (define @t105 () (not @t104)) % 0.52/0.73 (define @t106 () (= @t26 @t92)) % 0.52/0.73 (define @t107 () (not @t106)) % 0.52/0.73 (define @t108 () (= @t36 @t95)) % 0.52/0.73 (define @t109 () (not @t108)) % 0.52/0.73 (define @t110 () (tptp.join tptp.b @t25)) % 0.52/0.73 (define @t111 () (tptp.meet @t110 @t39)) % 0.52/0.73 (define @t112 () (tptp.meet @t111 @t25)) % 0.52/0.73 (define @t113 () (= @t25 @t112)) % 0.52/0.73 (define @t114 () (not @t113)) % 0.52/0.73 (define @t115 () (= @t38 @t99)) % 0.52/0.73 (define @t116 () (not @t115)) % 0.52/0.73 (define @t117 () (tptp.join tptp.b @t41)) % 0.52/0.73 (define @t118 () (tptp.join @t41 tptp.b)) % 0.52/0.73 (define @t119 () (= @t118 @t117)) % 0.52/0.73 (define @t120 () (not @t119)) % 0.52/0.73 (define @t121 () (= @t41 @t48)) % 0.52/0.73 (define @t122 () (not @t121)) % 0.52/0.73 (define @t123 () (tptp.meet @t40 @t40)) % 0.52/0.73 (define @t124 () (= @t40 @t123)) % 0.52/0.73 (define @t125 () (not @t124)) % 0.52/0.73 (define @t126 () (= tptp.b @t118)) % 0.52/0.73 (define @t127 () (not @t126)) % 0.52/0.73 (define @t128 () (tptp.join @t39 tptp.b)) % 0.52/0.73 (define @t129 () (= @t128 (tptp.join tptp.b @t39))) % 0.52/0.73 (define @t130 () (not @t129)) % 0.52/0.73 (define @t131 () (tptp.join @t38 tptp.a)) % 0.52/0.73 (define @t132 () (= @t131 @t44)) % 0.52/0.73 (define @t133 () (not @t132)) % 0.52/0.73 (define @t134 () (= @t40 @t46)) % 0.52/0.73 (define @t135 () (not @t134)) % 0.52/0.73 (define @t136 () (tptp.join @t34 tptp.a)) % 0.52/0.73 (define @t137 () (= @t136 @t79)) % 0.52/0.73 (define @t138 () (not @t137)) % 0.52/0.73 (define @t139 () (= @t32 (tptp.join @t32 @t32))) % 0.52/0.73 (define @t140 () (not @t139)) % 0.52/0.73 (define @t141 () (= @t25 @t39)) % 0.52/0.73 (define @t142 () (not @t141)) % 0.52/0.73 (define @t143 () (= @t26 @t50)) % 0.52/0.73 (define @t144 () (not @t143)) % 0.52/0.73 (define @t145 () (= tptp.a @t131)) % 0.52/0.73 (define @t146 () (not @t145)) % 0.52/0.73 (define @t147 () (= tptp.b @t128)) % 0.52/0.73 (define @t148 () (not @t147)) % 0.52/0.73 (define @t149 () (= @t25 @t40)) % 0.52/0.73 (define @t150 () (not @t149)) % 0.52/0.73 (define @t151 () (= tptp.a @t136)) % 0.52/0.73 (define @t152 () (not @t151)) % 0.52/0.73 (define @t153 () (= @t35 @t32)) % 0.52/0.73 (define @t154 () (not @t153)) % 0.52/0.73 (define @t155 () (tptp.meet2 tptp.a tptp.a)) % 0.52/0.73 (define @t156 () (= tptp.a @t155)) % 0.52/0.73 (define @t157 () (not @t156)) % 0.52/0.73 (define @t158 () (tptp.meet tptp.a tptp.a)) % 0.52/0.73 (define @t159 () (= tptp.a @t158)) % 0.52/0.73 (define @t160 () (not @t159)) % 0.52/0.73 (define @t161 () (= @t25 @t37)) % 0.52/0.73 (define @t162 () (not @t161)) % 0.52/0.73 (define @t163 () (= @t26 @t33)) % 0.52/0.73 (define @t164 () (not @t163)) % 0.52/0.73 (define @t165 () (tptp.join @t25 @t32)) % 0.52/0.73 (define @t166 () (tptp.meet2 @t59 @t60)) % 0.52/0.73 (define @t167 () (tptp.join tptp.a @t41)) % 0.52/0.73 (define @t168 () (tptp.meet2 @t167 @t117)) % 0.52/0.73 (define @t169 () (and @t28 @t163 @t161 @t159 @t156 @t153 @t151 @t149 @t147 @t145 @t143 @t141 @t139 @t137 @t134 @t132 @t129 @t126 @t124 @t121 @t119 @t115 @t113 @t108 @t106 @t104 @t102 @t100 @t96 @t93 @t90 @t88 @t86 @t83 @t80 @t77 @t75 @t72 @t70 @t67)) % 0.52/0.73 (assume @p1 @t4) % 0.52/0.73 (assume @p2 @t6) % 0.52/0.73 (assume @p3 (forall @t9 (= @t8 (tptp.meet @t7 @t1)))) % 0.52/0.73 (assume @p4 (forall @t9 (= @t10 (tptp.join @t7 @t1)))) % 0.52/0.73 (assume @p5 @t15) % 0.52/0.73 (assume @p6 @t17) % 0.52/0.73 (assume @p7 @t19) % 0.52/0.73 (assume @p8 (forall @t9 (= @t20 (tptp.meet2 @t7 @t1)))) % 0.52/0.73 (assume @p9 @t22) % 0.52/0.73 (assume @p10 @t24) % 0.52/0.73 (assume @p11 @t28) % 0.52/0.73 (step @p12 :rule instantiate :premises (@p3) :args (@t29)) % 0.52/0.73 (step @p13 :rule instantiate :premises (@p8) :args (@t29)) % 0.52/0.73 (step @p14 :rule eq-symm :args (@t2 @t1)) % 0.52/0.73 (step @p15 :rule cong :premises (@p14) :args (@t4)) % 0.52/0.73 (step @p16 :rule eq_resolve :premises (@p1 @p15)) % 0.52/0.73 (step @p17 :rule instantiate :premises (@p16) :args (@t30)) % 0.52/0.73 (step @p18 :rule eq-symm :args (@t18 @t1)) % 0.52/0.73 (step @p19 :rule cong :premises (@p18) :args (@t19)) % 0.52/0.73 (step @p20 :rule eq_resolve :premises (@p7 @p19)) % 0.52/0.73 (step @p21 :rule instantiate :premises (@p20) :args (@t30)) % 0.52/0.73 (step @p22 :rule instantiate :premises (@p3) :args ((@list tptp.b @t25))) % 0.52/0.73 (step @p23 :rule eq-symm :args (@t16 @t7)) % 0.52/0.73 (step @p24 :rule cong :premises (@p23) :args (@t17)) % 0.52/0.73 (step @p25 :rule eq_resolve :premises (@p6 @p24)) % 0.52/0.73 (step @p26 :rule instantiate :premises (@p25) :args (@t31)) % 0.52/0.73 (step @p27 :rule instantiate :premises (@p25) :args ((@list tptp.b @t25 tptp.b))) % 0.52/0.73 (step @p28 :rule eq-symm :args (@t23 @t7)) % 0.52/0.73 (step @p29 :rule cong :premises (@p28) :args (@t24)) % 0.52/0.73 (step @p30 :rule eq_resolve :premises (@p10 @p29)) % 0.52/0.73 (step @p31 :rule instantiate :premises (@p30) :args ((@list tptp.a tptp.b tptp.a))) % 0.52/0.73 (step @p32 :rule instantiate :premises (@p30) :args (@t31)) % 0.52/0.73 (step @p33 :rule eq-symm :args (@t5 @t1)) % 0.52/0.73 (step @p34 :rule cong :premises (@p33) :args (@t6)) % 0.52/0.73 (step @p35 :rule eq_resolve :premises (@p2 @p34)) % 0.52/0.73 (step @p36 :rule instantiate :premises (@p35) :args ((@list @t26))) % 0.52/0.73 (step @p37 :rule instantiate :premises (@p35) :args ((@list @t25))) % 0.52/0.73 (step @p38 :rule instantiate :premises (@p35) :args ((@list @t32))) % 0.52/0.73 (step @p39 :rule instantiate :premises (@p4) :args ((@list @t34 tptp.a))) % 0.52/0.73 (step @p40 :rule instantiate :premises (@p4) :args ((@list @t36 @t25))) % 0.52/0.73 (step @p41 :rule instantiate :premises (@p4) :args ((@list @t38 tptp.a))) % 0.52/0.73 (step @p42 :rule instantiate :premises (@p4) :args ((@list @t39 tptp.b))) % 0.52/0.73 (step @p43 :rule instantiate :premises (@p25) :args ((@list tptp.a tptp.b @t25))) % 0.52/0.73 (step @p44 :rule instantiate :premises (@p16) :args ((@list @t40))) % 0.52/0.73 (step @p45 :rule instantiate :premises (@p4) :args ((@list @t26 @t32))) % 0.52/0.73 (step @p46 :rule instantiate :premises (@p4) :args ((@list @t41 tptp.b))) % 0.52/0.73 (step @p47 :rule eq-symm :args (@t13 @t7)) % 0.52/0.73 (step @p48 :rule cong :premises (@p47) :args (@t15)) % 0.52/0.73 (step @p49 :rule eq_resolve :premises (@p5 @p48)) % 0.52/0.73 (step @p50 :rule instantiate :premises (@p49) :args ((@list tptp.a @t38 tptp.b))) % 0.52/0.73 (step @p51 :rule instantiate :premises (@p49) :args ((@list tptp.b @t25 @t25))) % 0.52/0.73 (step @p52 :rule instantiate :premises (@p49) :args ((@list @t25 @t36 @t25))) % 0.52/0.73 (step @p53 :rule instantiate :premises (@p49) :args ((@list @t32 @t26 @t32))) % 0.52/0.73 (step @p54 :rule eq-symm :args (@t21 @t7)) % 0.52/0.73 (step @p55 :rule cong :premises (@p54) :args (@t22)) % 0.52/0.73 (step @p56 :rule eq_resolve :premises (@p9 @p55)) % 0.52/0.73 (step @p57 :rule instantiate :premises (@p56) :args ((@list @t26 @t32 @t26))) % 0.52/0.73 (step @p58 :rule instantiate :premises (@p16) :args (@t42)) % 0.52/0.73 (step @p59 :rule instantiate :premises (@p3) :args ((@list @t45 @t38))) % 0.52/0.73 (step @p60 :rule instantiate :premises (@p3) :args ((@list @t47 @t36))) % 0.52/0.73 (step @p61 :rule instantiate :premises (@p3) :args ((@list @t49 @t26))) % 0.52/0.73 (step @p62 :rule instantiate :premises (@p49) :args ((@list tptp.a @t26 @t32))) % 0.52/0.73 (step @p63 :rule instantiate :premises (@p20) :args (@t42)) % 0.52/0.73 (step @p64 :rule instantiate :premises (@p8) :args ((@list @t51 @t50))) % 0.52/0.73 (step @p65 :rule instantiate :premises (@p8) :args ((@list @t52 @t32))) % 0.52/0.73 (step @p66 :rule instantiate :premises (@p56) :args ((@list tptp.a @t34 tptp.a))) % 0.52/0.73 (step @p67 :rule instantiate :premises (@p30) :args ((@list tptp.b tptp.a @t53))) % 0.52/0.73 (step @p68 :rule instantiate :premises (@p4) :args ((@list @t55 tptp.a))) % 0.52/0.73 (step @p69 :rule instantiate :premises (@p25) :args ((@list @t26 @t49 @t26))) % 0.52/0.73 (step @p70 :rule instantiate :premises (@p25) :args ((@list @t56 @t26 @t38))) % 0.52/0.73 (step @p71 :rule instantiate :premises (@p4) :args ((@list @t58 @t49))) % 0.52/0.73 (step @p72 :rule instantiate :premises (@p56) :args ((@list tptp.b @t55 tptp.a))) % 0.52/0.73 (step @p73 :rule refl :args (@t64)) % 0.52/0.73 (step @p74 :rule refl :args (@t68)) % 0.52/0.73 (step @p75 :rule refl :args (@t71)) % 0.52/0.73 (step @p76 :rule refl :args (@t73)) % 0.52/0.73 (step @p77 :rule refl :args (@t76)) % 0.52/0.73 (step @p78 :rule refl :args (@t78)) % 0.52/0.73 (step @p79 :rule refl :args (@t81)) % 0.52/0.73 (step @p80 :rule refl :args (@t84)) % 0.52/0.73 (step @p81 :rule refl :args (@t87)) % 0.52/0.73 (step @p82 :rule refl :args (@t89)) % 0.52/0.73 (step @p83 :rule refl :args (@t91)) % 0.52/0.73 (step @p84 :rule refl :args (@t94)) % 0.52/0.73 (step @p85 :rule refl :args (@t97)) % 0.52/0.73 (step @p86 :rule refl :args (@t101)) % 0.52/0.73 (step @p87 :rule refl :args (@t103)) % 0.52/0.73 (step @p88 :rule refl :args (@t105)) % 0.52/0.73 (step @p89 :rule refl :args (@t107)) % 0.52/0.73 (step @p90 :rule refl :args (@t109)) % 0.52/0.73 (step @p91 :rule refl :args (@t114)) % 0.52/0.73 (step @p92 :rule refl :args (@t116)) % 0.52/0.73 (step @p93 :rule refl :args (@t120)) % 0.52/0.73 (step @p94 :rule refl :args (@t122)) % 0.52/0.73 (step @p95 :rule refl :args (@t125)) % 0.52/0.73 (step @p96 :rule refl :args (@t127)) % 0.52/0.73 (step @p97 :rule refl :args (@t130)) % 0.52/0.73 (step @p98 :rule refl :args (@t133)) % 0.52/0.73 (step @p99 :rule refl :args (@t135)) % 0.52/0.73 (step @p100 :rule refl :args (@t138)) % 0.52/0.73 (step @p101 :rule refl :args (@t140)) % 0.52/0.73 (step @p102 :rule refl :args (@t142)) % 0.52/0.73 (step @p103 :rule refl :args (@t144)) % 0.52/0.73 (step @p104 :rule refl :args (@t146)) % 0.52/0.73 (step @p105 :rule refl :args (@t148)) % 0.52/0.73 (step @p106 :rule refl :args (@t150)) % 0.52/0.73 (step @p107 :rule refl :args (@t152)) % 0.52/0.73 (step @p108 :rule refl :args (@t154)) % 0.52/0.73 (step @p109 :rule refl :args (@t157)) % 0.52/0.73 (step @p110 :rule refl :args (@t160)) % 0.52/0.73 (step @p111 :rule refl :args (@t162)) % 0.52/0.73 (step @p112 :rule refl :args (@t164)) % 0.52/0.73 (step @p113 :rule bool-double-not-elim :args (@t27)) % 0.52/0.73 (step @p114 :rule nary_cong :premises (@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 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73) :args ((or (not @t28) @t164 @t162 @t160 @t157 @t154 @t152 @t150 @t148 @t146 @t144 @t142 @t140 @t138 @t135 @t133 @t130 @t127 @t125 @t122 @t120 @t116 @t114 @t109 @t107 @t105 @t103 @t101 @t97 @t94 @t91 @t89 @t87 @t84 @t81 @t78 @t76 @t73 @t71 @t68 @t64))) % 0.52/0.73 (assume-push @p336 @t28) % 0.52/0.73 (assume-push @p337 @t163) % 0.52/0.73 (assume-push @p338 @t161) % 0.52/0.73 (assume-push @p339 @t159) % 0.52/0.73 (assume-push @p340 @t156) % 0.52/0.73 (assume-push @p341 @t153) % 0.52/0.73 (assume-push @p342 @t151) % 0.52/0.73 (assume-push @p343 @t149) % 0.52/0.73 (assume-push @p344 @t147) % 0.52/0.73 (assume-push @p345 @t145) % 0.52/0.73 (assume-push @p346 @t143) % 0.52/0.73 (assume-push @p347 @t141) % 0.52/0.73 (assume-push @p348 @t139) % 0.52/0.73 (assume-push @p349 @t137) % 0.52/0.73 (assume-push @p350 @t134) % 0.52/0.73 (assume-push @p351 @t132) % 0.52/0.73 (assume-push @p352 @t129) % 0.52/0.73 (assume-push @p353 @t126) % 0.52/0.73 (assume-push @p354 @t124) % 0.52/0.73 (assume-push @p355 @t121) % 0.52/0.73 (assume-push @p356 @t119) % 0.52/0.73 (assume-push @p357 @t115) % 0.52/0.73 (assume-push @p358 @t113) % 0.52/0.73 (assume-push @p359 @t108) % 0.52/0.73 (assume-push @p360 @t106) % 0.52/0.73 (assume-push @p361 @t104) % 0.52/0.73 (assume-push @p362 @t102) % 0.52/0.73 (assume-push @p363 @t100) % 0.52/0.73 (assume-push @p364 @t96) % 0.52/0.73 (assume-push @p365 @t93) % 0.52/0.73 (assume-push @p366 @t90) % 0.52/0.73 (assume-push @p367 @t88) % 0.52/0.73 (assume-push @p368 @t86) % 0.52/0.73 (assume-push @p369 @t83) % 0.52/0.73 (assume-push @p370 @t80) % 0.52/0.73 (assume-push @p371 @t77) % 0.52/0.73 (assume-push @p372 @t75) % 0.52/0.73 (assume-push @p373 @t72) % 0.52/0.73 (assume-push @p374 @t70) % 0.52/0.73 (assume-push @p375 @t67) % 0.52/0.73 (step @p155 :rule false_intro :premises (@p11)) % 0.52/0.73 (step @p156 :rule symm :premises (@p45)) % 0.52/0.73 (step @p157 :rule symm :premises (@p36)) % 0.52/0.73 (step @p158 :rule symm :premises (@p12)) % 0.52/0.73 (step @p159 :rule cong :premises (@p158 @p158) :args (@t34)) % 0.52/0.73 (step @p160 :rule symm :premises (@p66)) % 0.52/0.73 (step @p161 :rule symm :premises (@p159)) % 0.52/0.73 (step @p162 :rule trans :premises (@p26 @p39)) % 0.52/0.73 (step @p163 :rule cong :premises (@p162 @p162) :args (@t155)) % 0.52/0.73 (step @p164 :rule trans :premises (@p21 @p163)) % 0.52/0.73 (step @p165 :rule symm :premises (@p26)) % 0.52/0.73 (step @p166 :rule symm :premises (@p39)) % 0.52/0.73 (step @p167 :rule trans :premises (@p158 @p36 @p161)) % 0.52/0.73 (step @p168 :rule symm :premises (@p17)) % 0.52/0.73 (step @p169 :rule cong :premises (@p168 @p167) :args ((tptp.join @t158 @t33))) % 0.52/0.73 (step @p170 :rule cong :premises (@p17 @p12) :args (@t51)) % 0.52/0.73 (step @p171 :rule trans :premises (@p170 @p169 @p166 @p165)) % 0.52/0.73 (step @p172 :rule trans :premises (@p171 @p164)) % 0.52/0.73 (step @p173 :rule cong :premises (@p172 @p161) :args (@t85)) % 0.52/0.73 (step @p174 :rule symm :premises (@p64)) % 0.52/0.73 (step @p175 :rule symm :premises (@p170)) % 0.52/0.73 (step @p176 :rule symm :premises (@p169)) % 0.52/0.73 (step @p177 :rule trans :premises (@p176 @p175)) % 0.52/0.73 (step @p178 :rule symm :premises (@p167)) % 0.52/0.73 (step @p179 :rule cong :premises (@p12 @p178) :args (@t53)) % 0.52/0.73 (step @p180 :rule trans :premises (@p179 @p159)) % 0.52/0.73 (step @p181 :rule cong :premises (@p180 @p177) :args ((tptp.meet2 @t53 @t79))) % 0.52/0.73 (step @p182 :rule refl :args (@t53)) % 0.52/0.73 (step @p183 :rule cong :premises (@p182 @p162) :args (@t54)) % 0.52/0.73 (step @p184 :rule trans :premises (@p183 @p181 @p174 @p173 @p160 @p159 @p157)) % 0.52/0.73 (step @p185 :rule symm :premises (@p22)) % 0.52/0.73 (step @p186 :rule symm :premises (@p38)) % 0.52/0.73 (step @p187 :rule cong :premises (@p22 @p22) :args (@t36)) % 0.52/0.73 (step @p188 :rule symm :premises (@p52)) % 0.52/0.73 (step @p189 :rule symm :premises (@p60)) % 0.52/0.73 (step @p190 :rule cong :premises (@p40 @p40) :args (@t123)) % 0.52/0.73 (step @p191 :rule trans :premises (@p27 @p44 @p190)) % 0.52/0.73 (step @p192 :rule symm :premises (@p187)) % 0.52/0.73 (step @p193 :rule symm :premises (@p37)) % 0.52/0.73 (step @p194 :rule symm :premises (@p31)) % 0.52/0.73 (step @p195 :rule symm :premises (@p42)) % 0.52/0.73 (step @p196 :rule refl :args (tptp.b)) % 0.52/0.73 (step @p197 :rule cong :premises (@p196 @p37) :args (@t110)) % 0.52/0.73 (step @p198 :rule trans :premises (@p197 @p195 @p194)) % 0.52/0.73 (step @p199 :rule cong :premises (@p198 @p193) :args (@t111)) % 0.52/0.73 (step @p200 :rule trans :premises (@p199 @p22 @p38)) % 0.52/0.73 (step @p201 :rule trans :premises (@p200 @p192)) % 0.52/0.73 (step @p202 :rule cong :premises (@p201 @p191) :args (@t112)) % 0.52/0.73 (step @p203 :rule trans :premises (@p51 @p202 @p189 @p188 @p187 @p186 @p185)) % 0.52/0.73 (step @p204 :rule symm :premises (@p13)) % 0.52/0.73 (step @p205 :rule trans :premises (@p204 @p203 @p22)) % 0.52/0.73 (step @p206 :rule cong :premises (@p205 @p184) :args (@t55)) % 0.52/0.73 (step @p207 :rule trans :premises (@p206 @p156)) % 0.52/0.73 (step @p208 :rule symm :premises (@p27)) % 0.52/0.73 (step @p209 :rule symm :premises (@p40)) % 0.52/0.73 (step @p210 :rule trans :premises (@p38 @p192)) % 0.52/0.73 (step @p211 :rule refl :args (@t25)) % 0.52/0.73 (step @p212 :rule cong :premises (@p211 @p210) :args (@t165)) % 0.52/0.73 (step @p213 :rule trans :premises (@p212 @p209 @p208)) % 0.52/0.73 (step @p214 :rule symm :premises (@p213)) % 0.52/0.73 (step @p215 :rule symm :premises (@p43)) % 0.52/0.73 (step @p216 :rule symm :premises (@p46)) % 0.52/0.73 (step @p217 :rule cong :premises (@p196 @p207) :args (@t60)) % 0.52/0.73 (step @p218 :rule trans :premises (@p217 @p216 @p215)) % 0.52/0.73 (step @p219 :rule symm :premises (@p67)) % 0.52/0.73 (step @p220 :rule symm :premises (@p68)) % 0.52/0.73 (step @p221 :rule trans :premises (@p220 @p219)) % 0.52/0.73 (step @p222 :rule cong :premises (@p221 @p218) :args (@t166)) % 0.52/0.73 (step @p223 :rule trans :premises (@p222 @p214)) % 0.52/0.73 (step @p224 :rule cong :premises (@p223 @p207) :args ((tptp.meet2 @t166 @t55))) % 0.52/0.73 (step @p225 :rule symm :premises (@p224)) % 0.52/0.73 (step @p226 :rule cong :premises (@p218 @p221) :args (@t61)) % 0.52/0.73 (step @p227 :rule trans :premises (@p226 @p204)) % 0.52/0.73 (step @p228 :rule trans :premises (@p227 @p214)) % 0.52/0.73 (step @p229 :rule cong :premises (@p228 @p207) :args (@t62)) % 0.52/0.73 (step @p230 :rule trans :premises (@p229 @p225)) % 0.52/0.73 (step @p231 :rule symm :premises (@p230)) % 0.52/0.73 (step @p232 :rule refl :args (@t41)) % 0.52/0.73 (step @p233 :rule trans :premises (@p216 @p215)) % 0.52/0.73 (step @p234 :rule symm :premises (@p207)) % 0.52/0.73 (step @p235 :rule refl :args (tptp.a)) % 0.52/0.73 (step @p236 :rule cong :premises (@p235 @p234) :args (@t167)) % 0.52/0.73 (step @p237 :rule trans :premises (@p236 @p220 @p219)) % 0.52/0.73 (step @p238 :rule cong :premises (@p237 @p233) :args (@t168)) % 0.52/0.73 (step @p239 :rule trans :premises (@p238 @p214)) % 0.52/0.73 (step @p240 :rule cong :premises (@p239 @p232) :args ((tptp.meet2 @t168 @t41))) % 0.52/0.73 (step @p241 :rule symm :premises (@p240)) % 0.52/0.73 (step @p242 :rule trans :premises (@p224 @p241)) % 0.52/0.73 (step @p243 :rule symm :premises (@p242)) % 0.52/0.73 (step @p244 :rule symm :premises (@p51)) % 0.52/0.73 (step @p245 :rule symm :premises (@p202)) % 0.52/0.73 (step @p246 :rule symm :premises (@p57)) % 0.52/0.73 (step @p247 :rule symm :premises (@p65)) % 0.52/0.73 (step @p248 :rule trans :premises (@p187 @p186 @p185)) % 0.52/0.73 (step @p249 :rule cong :premises (@p185 @p248) :args ((tptp.join @t32 @t36))) % 0.52/0.73 (step @p250 :rule trans :premises (@p249 @p187)) % 0.52/0.73 (step @p251 :rule symm :premises (@p249)) % 0.52/0.73 (step @p252 :rule trans :premises (@p51 @p202 @p189 @p188 @p251)) % 0.52/0.73 (step @p253 :rule trans :premises (@p213 @p252 @p250 @p186)) % 0.52/0.73 (step @p254 :rule cong :premises (@p253 @p63) :args ((tptp.meet2 @t165 @t41))) % 0.52/0.73 (step @p255 :rule trans :premises (@p240 @p254 @p247 @p246 @p38 @p192 @p52 @p60 @p245 @p244)) % 0.52/0.73 (step @p256 :rule symm :premises (@p255)) % 0.52/0.73 (step @p257 :rule trans :premises (@p256 @p243 @p231)) % 0.52/0.73 (step @p258 :rule symm :premises (@p257)) % 0.52/0.73 (step @p259 :rule symm :premises (@p70)) % 0.52/0.73 (step @p260 :rule symm :premises (@p53)) % 0.52/0.73 (step @p261 :rule symm :premises (@p61)) % 0.52/0.73 (step @p262 :rule trans :premises (@p261 @p260 @p12)) % 0.52/0.73 (step @p263 :rule cong :premises (@p262 @p262) :args (@t58)) % 0.52/0.73 (step @p264 :rule trans :premises (@p263 @p159 @p157)) % 0.52/0.73 (step @p265 :rule cong :premises (@p204 @p204) :args (@t38)) % 0.52/0.73 (step @p266 :rule cong :premises (@p196 @p265) :args (@t43)) % 0.52/0.73 (step @p267 :rule trans :premises (@p266 @p195 @p194)) % 0.52/0.73 (step @p268 :rule symm :premises (@p32)) % 0.52/0.73 (step @p269 :rule symm :premises (@p41)) % 0.52/0.73 (step @p270 :rule trans :premises (@p269 @p268)) % 0.52/0.73 (step @p271 :rule cong :premises (@p270 @p267) :args (@t45)) % 0.52/0.73 (step @p272 :rule refl :args (@t38)) % 0.52/0.73 (step @p273 :rule cong :premises (@p272 @p271) :args (@t98)) % 0.52/0.73 (step @p274 :rule symm :premises (@p265)) % 0.52/0.73 (step @p275 :rule trans :premises (@p38 @p192 @p52 @p60 @p245 @p244 @p37 @p274 @p50 @p59 @p273)) % 0.52/0.73 (step @p276 :rule cong :premises (@p62 @p275) :args (@t41)) % 0.52/0.73 (step @p277 :rule symm :premises (@p58)) % 0.52/0.73 (step @p278 :rule cong :premises (@p156 @p156) :args (@t49)) % 0.52/0.73 (step @p279 :rule trans :premises (@p278 @p277)) % 0.52/0.73 (step @p280 :rule trans :premises (@p279 @p276)) % 0.52/0.73 (step @p281 :rule cong :premises (@p280 @p264) :args (@t65)) % 0.52/0.73 (step @p282 :rule symm :premises (@p278)) % 0.52/0.73 (step @p283 :rule trans :premises (@p58 @p282 @p69 @p71 @p281 @p259)) % 0.52/0.73 (step @p284 :rule symm :premises (@p283)) % 0.52/0.73 (step @p285 :rule trans :premises (@p284 @p234)) % 0.52/0.73 (step @p286 :rule symm :premises (@p285)) % 0.52/0.73 (step @p287 :rule cong :premises (@p286 @p258) :args (@t63)) % 0.52/0.73 (step @p288 :rule trans :premises (@p287 @p155)) % 0.52/0.73 (step @p289 :rule false_elim :premises (@p288)) % 0.52/0.73 (step-pop @p376 :rule scope :premises (@p289)) % 0.52/0.73 (step-pop @p377 :rule scope :premises (@p376)) % 0.52/0.73 (step-pop @p378 :rule scope :premises (@p377)) % 0.52/0.73 (step-pop @p379 :rule scope :premises (@p378)) % 0.52/0.73 (step-pop @p380 :rule scope :premises (@p379)) % 0.52/0.73 (step-pop @p381 :rule scope :premises (@p380)) % 0.52/0.73 (step-pop @p382 :rule scope :premises (@p381)) % 0.52/0.73 (step-pop @p383 :rule scope :premises (@p382)) % 0.52/0.73 (step-pop @p384 :rule scope :premises (@p383)) % 0.52/0.73 (step-pop @p385 :rule scope :premises (@p384)) % 0.52/0.73 (step-pop @p386 :rule scope :premises (@p385)) % 0.52/0.73 (step-pop @p387 :rule scope :premises (@p386)) % 0.52/0.73 (step-pop @p388 :rule scope :premises (@p387)) % 0.52/0.73 (step-pop @p389 :rule scope :premises (@p388)) % 0.52/0.73 (step-pop @p390 :rule scope :premises (@p389)) % 0.52/0.73 (step-pop @p391 :rule scope :premises (@p390)) % 0.52/0.73 (step-pop @p392 :rule scope :premises (@p391)) % 0.52/0.73 (step-pop @p393 :rule scope :premises (@p392)) % 0.52/0.73 (step-pop @p394 :rule scope :premises (@p393)) % 0.52/0.73 (step-pop @p395 :rule scope :premises (@p394)) % 0.52/0.73 (step-pop @p396 :rule scope :premises (@p395)) % 0.52/0.73 (step-pop @p397 :rule scope :premises (@p396)) % 0.52/0.73 (step-pop @p398 :rule scope :premises (@p397)) % 0.52/0.73 (step-pop @p399 :rule scope :premises (@p398)) % 0.52/0.73 (step-pop @p400 :rule scope :premises (@p399)) % 0.52/0.73 (step-pop @p401 :rule scope :premises (@p400)) % 0.52/0.73 (step-pop @p402 :rule scope :premises (@p401)) % 0.52/0.73 (step-pop @p403 :rule scope :premises (@p402)) % 0.52/0.73 (step-pop @p404 :rule scope :premises (@p403)) % 0.52/0.73 (step-pop @p405 :rule scope :premises (@p404)) % 0.52/0.73 (step-pop @p406 :rule scope :premises (@p405)) % 0.52/0.73 (step-pop @p407 :rule scope :premises (@p406)) % 0.52/0.73 (step-pop @p408 :rule scope :premises (@p407)) % 0.52/0.73 (step-pop @p409 :rule scope :premises (@p408)) % 0.52/0.73 (step-pop @p410 :rule scope :premises (@p409)) % 0.52/0.73 (step-pop @p411 :rule scope :premises (@p410)) % 0.52/0.73 (step-pop @p412 :rule scope :premises (@p411)) % 0.52/0.73 (step-pop @p413 :rule scope :premises (@p412)) % 0.52/0.73 (step-pop @p414 :rule scope :premises (@p413)) % 0.52/0.73 (step-pop @p415 :rule scope :premises (@p414)) % 0.52/0.73 (step @p290 :rule process_scope :premises (@p415) :args (@t64)) % 0.52/0.73 (step @p331 :rule implies_elim :premises (@p290)) % 0.52/0.73 (step @p332 :rule cnf_and_neg :args (@t169)) % 0.52/0.73 (step @p333 :rule resolution :premises (@p332 @p331) :args (true @t169)) % 0.52/0.73 (step @p334 :rule eq_resolve :premises (@p333 @p114)) % 0.52/0.73 (step @p335 false :rule chain_m_resolution :premises (@p334 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p53 @p52 @p51 @p50 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p32 @p31 @p27 @p26 @p22 @p21 @p17 @p13 @p12 @p11) :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 false false false false false true) (@list @t63 @t67 @t70 @t72 @t75 @t77 @t80 @t83 @t86 @t88 @t90 @t93 @t96 @t100 @t102 @t104 @t106 @t108 @t113 @t115 @t119 @t121 @t124 @t126 @t129 @t132 @t134 @t137 @t139 @t141 @t143 @t145 @t147 @t149 @t151 @t153 @t156 @t159 @t161 @t163 @t27))) % 0.52/0.73 ) % 0.52/0.73 % SZS output end Proof % 0.52/0.74 % cvc5 exiting %------------------------------------------------------------------------------