%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT240-1 : 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 : n010.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 0.72s 0.95s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT240-1 : 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 % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 06:05:40 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.72/0.95 % SZS status Unsatisfiable % 0.72/0.95 % SZS output start Proof % 0.72/0.96 ( % 0.72/0.96 (declare-sort $$unsorted 0) % 0.72/0.96 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.72/0.96 (declare-const tptp.one $$unsorted) % 0.72/0.96 (declare-const tptp.a $$unsorted) % 0.72/0.96 (declare-const tptp.zero $$unsorted) % 0.72/0.96 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.96 (declare-const tptp.b $$unsorted) % 0.72/0.96 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.96 (define @t1 () (@var "X" $$unsorted)) % 0.72/0.96 (define @t2 () (tptp.meet @t1 @t1)) % 0.72/0.96 (define @t3 () (@list @t1)) % 0.72/0.96 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.72/0.96 (define @t5 () (tptp.join @t1 @t1)) % 0.72/0.96 (define @t6 () (forall @t3 (= @t5 @t1))) % 0.72/0.96 (define @t7 () (@var "Y" $$unsorted)) % 0.72/0.96 (define @t8 () (tptp.join @t1 @t7)) % 0.72/0.96 (define @t9 () (tptp.meet @t1 @t8)) % 0.72/0.96 (define @t10 () (@list @t1 @t7)) % 0.72/0.96 (define @t11 () (forall @t10 (= @t9 @t1))) % 0.72/0.96 (define @t12 () (tptp.meet @t1 @t7)) % 0.72/0.96 (define @t13 () (tptp.join @t1 @t12)) % 0.72/0.96 (define @t14 () (forall @t10 (= @t13 @t1))) % 0.72/0.96 (define @t15 () (@var "Z" $$unsorted)) % 0.72/0.96 (define @t16 () (@list @t1 @t7 @t15)) % 0.72/0.96 (define @t17 () (tptp.complement @t1)) % 0.72/0.96 (define @t18 () (tptp.join @t1 @t17)) % 0.72/0.96 (define @t19 () (forall @t3 (= @t18 tptp.one))) % 0.72/0.96 (define @t20 () (tptp.meet @t1 @t17)) % 0.72/0.96 (define @t21 () (forall @t3 (= @t20 tptp.zero))) % 0.72/0.96 (define @t22 () (not (= @t8 tptp.one))) % 0.72/0.96 (define @t23 () (not (= @t12 tptp.zero))) % 0.72/0.96 (define @t24 () (or @t23 @t22 (= @t17 @t7))) % 0.72/0.96 (define @t25 () (forall @t10 @t24)) % 0.72/0.96 (define @t26 () (@var "U" $$unsorted)) % 0.72/0.96 (define @t27 () (tptp.meet tptp.b tptp.a)) % 0.72/0.96 (define @t28 () (tptp.complement tptp.a)) % 0.72/0.96 (define @t29 () (tptp.complement tptp.b)) % 0.72/0.96 (define @t30 () (tptp.join @t29 @t28)) % 0.72/0.96 (define @t31 () (@list @t29 @t28)) % 0.72/0.96 (define @t32 () (@list tptp.b tptp.a)) % 0.72/0.96 (define @t33 () (@list tptp.b)) % 0.72/0.96 (define @t34 () (@list tptp.a)) % 0.72/0.96 (define @t35 () (@list tptp.a @t28)) % 0.72/0.96 (define @t36 () (@list @t29)) % 0.72/0.96 (define @t37 () (@list @t27 @t29)) % 0.72/0.96 (define @t38 () (@list @t28 tptp.a)) % 0.72/0.96 (define @t39 () (tptp.meet @t29 @t30)) % 0.72/0.96 (define @t40 () (tptp.join @t28 @t39)) % 0.72/0.96 (define @t41 () (tptp.meet @t29 @t40)) % 0.72/0.96 (define @t42 () (tptp.join @t29 @t41)) % 0.72/0.96 (define @t43 () (tptp.complement @t29)) % 0.72/0.96 (define @t44 () (= tptp.b @t43)) % 0.72/0.96 (define @t45 () (tptp.join @t29 tptp.b)) % 0.72/0.96 (define @t46 () (not (= @t45 tptp.one))) % 0.72/0.96 (define @t47 () (tptp.meet @t29 tptp.b)) % 0.72/0.96 (define @t48 () (not (= @t47 tptp.zero))) % 0.72/0.96 (define @t49 () (or @t48 @t46 @t44)) % 0.72/0.96 (define @t50 () (forall @t10 (or @t23 @t22 (= @t7 @t17)))) % 0.72/0.96 (define @t51 () (@list @t29 tptp.b)) % 0.72/0.96 (define @t52 () (= tptp.one @t45)) % 0.72/0.96 (define @t53 () (not @t52)) % 0.72/0.96 (define @t54 () (= tptp.zero @t47)) % 0.72/0.96 (define @t55 () (not @t54)) % 0.72/0.96 (define @t56 () (or @t55 @t53 @t44)) % 0.72/0.96 (define @t57 () (@list false)) % 0.72/0.96 (define @t58 () (@list @t50)) % 0.72/0.96 (define @t59 () (@list tptp.b @t29)) % 0.72/0.96 (define @t60 () (tptp.join tptp.b @t28)) % 0.72/0.96 (define @t61 () (tptp.meet @t28 @t30)) % 0.72/0.96 (define @t62 () (tptp.join tptp.a @t61)) % 0.72/0.96 (define @t63 () (tptp.meet @t28 @t62)) % 0.72/0.96 (define @t64 () (tptp.join @t29 @t63)) % 0.72/0.96 (define @t65 () (tptp.join tptp.a @t64)) % 0.72/0.96 (define @t66 () (not (= @t65 tptp.one))) % 0.72/0.96 (define @t67 () (tptp.meet tptp.a @t64)) % 0.72/0.96 (define @t68 () (not (= @t67 tptp.zero))) % 0.72/0.96 (define @t69 () (or @t68 @t66 (= @t64 @t28))) % 0.72/0.96 (define @t70 () (= @t28 @t64)) % 0.72/0.96 (define @t71 () (= tptp.one @t65)) % 0.72/0.96 (define @t72 () (not @t71)) % 0.72/0.96 (define @t73 () (= tptp.zero @t67)) % 0.72/0.96 (define @t74 () (not @t73)) % 0.72/0.96 (define @t75 () (or @t74 @t72 @t70)) % 0.72/0.96 (define @t76 () (tptp.join tptp.a @t28)) % 0.72/0.96 (define @t77 () (tptp.meet @t28 @t76)) % 0.72/0.96 (define @t78 () (tptp.join @t29 @t77)) % 0.72/0.96 (define @t79 () (tptp.join @t28 tptp.a)) % 0.72/0.96 (define @t80 () (tptp.meet @t28 @t79)) % 0.72/0.96 (define @t81 () (tptp.join @t29 @t43)) % 0.72/0.96 (define @t82 () (tptp.join @t28 (tptp.meet tptp.a @t81))) % 0.72/0.96 (define @t83 () (tptp.meet tptp.a @t82)) % 0.72/0.96 (define @t84 () (tptp.meet tptp.a @t76)) % 0.72/0.96 (define @t85 () (tptp.join @t29 @t27)) % 0.72/0.96 (define @t86 () (tptp.join @t28 @t28)) % 0.72/0.96 (define @t87 () (tptp.meet @t29 @t86)) % 0.72/0.96 (define @t88 () (tptp.join @t29 @t87)) % 0.72/0.96 (define @t89 () (tptp.meet @t29 @t88)) % 0.72/0.96 (define @t90 () (tptp.meet @t29 (tptp.join @t28 @t89))) % 0.72/0.96 (define @t91 () (tptp.join @t27 @t90)) % 0.72/0.96 (define @t92 () (tptp.meet @t29 @t91)) % 0.72/0.96 (define @t93 () (tptp.join @t29 @t39)) % 0.72/0.96 (define @t94 () (tptp.meet @t28 @t42)) % 0.72/0.96 (define @t95 () (tptp.join @t29 (tptp.meet @t28 @t88))) % 0.72/0.96 (define @t96 () (tptp.meet @t28 @t95)) % 0.72/0.96 (define @t97 () (tptp.join @t29 @t96)) % 0.72/0.96 (define @t98 () (tptp.join @t28 @t61)) % 0.72/0.96 (define @t99 () (tptp.join @t27 @t89)) % 0.72/0.96 (define @t100 () (tptp.meet @t29 @t99)) % 0.72/0.96 (define @t101 () (tptp.join @t28 @t92)) % 0.72/0.96 (define @t102 () (tptp.meet tptp.b @t76)) % 0.72/0.96 (define @t103 () (tptp.join @t29 @t102)) % 0.72/0.96 (define @t104 () (tptp.join tptp.b @t39)) % 0.72/0.96 (define @t105 () (tptp.join @t28 @t43)) % 0.72/0.96 (define @t106 () (tptp.meet tptp.a @t105)) % 0.72/0.96 (define @t107 () (tptp.join @t29 @t106)) % 0.72/0.96 (define @t108 () (tptp.meet tptp.a @t107)) % 0.72/0.96 (define @t109 () (tptp.join @t28 @t108)) % 0.72/0.96 (define @t110 () (tptp.join @t27 (tptp.meet @t29 @t109))) % 0.72/0.96 (define @t111 () (tptp.meet @t29 @t110)) % 0.72/0.96 (define @t112 () (tptp.join @t28 @t111)) % 0.72/0.96 (define @t113 () (tptp.join @t28 tptp.b)) % 0.72/0.96 (define @t114 () (tptp.join @t27 tptp.b)) % 0.72/0.96 (define @t115 () (tptp.join @t114 @t28)) % 0.72/0.96 (define @t116 () (tptp.join @t27 @t60)) % 0.72/0.96 (define @t117 () (tptp.meet tptp.a @t116)) % 0.72/0.96 (define @t118 () (tptp.join @t29 @t117)) % 0.72/0.96 (define @t119 () (tptp.meet tptp.a @t118)) % 0.72/0.96 (define @t120 () (tptp.meet @t27 @t116)) % 0.72/0.96 (define @t121 () (tptp.join @t29 @t83)) % 0.72/0.96 (define @t122 () (tptp.join @t27 @t29)) % 0.72/0.96 (define @t123 () (tptp.meet @t27 @t122)) % 0.72/0.96 (define @t124 () (tptp.meet tptp.a tptp.b)) % 0.72/0.96 (define @t125 () (tptp.join @t29 (tptp.meet @t29 @t43))) % 0.72/0.96 (define @t126 () (tptp.join tptp.b @t29)) % 0.72/0.96 (define @t127 () (tptp.meet tptp.b @t29)) % 0.72/0.96 (define @t128 () (tptp.meet @t127 @t76)) % 0.72/0.96 (define @t129 () (tptp.join @t29 @t128)) % 0.72/0.96 (define @t130 () (tptp.join @t28 @t27)) % 0.72/0.96 (define @t131 () (tptp.join @t27 @t28)) % 0.72/0.96 (define @t132 () (tptp.meet @t126 (tptp.join @t127 tptp.b))) % 0.72/0.96 (define @t133 () (tptp.join @t28 @t132)) % 0.72/0.96 (define @t134 () (tptp.meet @t127 @t60)) % 0.72/0.96 (define @t135 () (tptp.meet @t127 @t105)) % 0.72/0.96 (define @t136 () (tptp.join @t29 @t134)) % 0.72/0.96 (define @t137 () (tptp.meet tptp.b tptp.b)) % 0.72/0.96 (define @t138 () (tptp.meet tptp.a @t28)) % 0.72/0.96 (define @t139 () (tptp.join tptp.a (tptp.meet @t127 @t30))) % 0.72/0.96 (define @t140 () (tptp.join @t138 @t27)) % 0.72/0.96 (define @t141 () (= tptp.a @t27)) % 0.72/0.96 (define @t142 () (= @t29 @t39)) % 0.72/0.96 (define @t143 () (tptp.join tptp.b @t27)) % 0.72/0.96 (define @t144 () (= tptp.b @t143)) % 0.72/0.96 (define @t145 () (tptp.join @t28 @t29)) % 0.72/0.96 (define @t146 () (= @t30 @t145)) % 0.72/0.96 (define @t147 () (= tptp.one @t126)) % 0.72/0.96 (define @t148 () (= tptp.one @t76)) % 0.72/0.96 (define @t149 () (= tptp.a @t84)) % 0.72/0.96 (define @t150 () (= @t28 (tptp.meet @t28 @t145))) % 0.72/0.96 (define @t151 () (= @t29 @t93)) % 0.72/0.96 (define @t152 () (tptp.meet @t28 @t29)) % 0.72/0.96 (define @t153 () (= (tptp.meet @t29 @t28) @t152)) % 0.72/0.96 (define @t154 () (= @t76 @t79)) % 0.72/0.96 (define @t155 () (= @t143 @t114)) % 0.72/0.96 (define @t156 () (= tptp.one @t81)) % 0.72/0.96 (define @t157 () (= @t28 @t86)) % 0.72/0.96 (define @t158 () (= @t27 @t123)) % 0.72/0.96 (define @t159 () (= @t28 @t80)) % 0.72/0.96 (define @t160 () (= @t28 (tptp.join @t28 @t94))) % 0.72/0.96 (define @t161 () (= @t122 @t85)) % 0.72/0.96 (define @t162 () (= @t60 @t113)) % 0.72/0.96 (define @t163 () (= @t115 @t116)) % 0.72/0.96 (define @t164 () (tptp.join @t41 @t43)) % 0.72/0.96 (define @t165 () (tptp.join @t29 @t164)) % 0.72/0.96 (define @t166 () (= (tptp.join @t42 @t43) @t165)) % 0.72/0.96 (define @t167 () (= @t27 @t120)) % 0.72/0.96 (define @t168 () (tptp.join tptp.a @t30)) % 0.72/0.96 (define @t169 () (= @t168 (tptp.join @t30 tptp.a))) % 0.72/0.96 (define @t170 () (tptp.join @t30 @t108)) % 0.72/0.96 (define @t171 () (= @t170 (tptp.join @t29 @t109))) % 0.72/0.96 (define @t172 () (tptp.join @t29 @t29)) % 0.72/0.96 (define @t173 () (tptp.meet @t28 @t172)) % 0.72/0.96 (define @t174 () (tptp.join @t28 @t87)) % 0.72/0.96 (define @t175 () (and @t141 @t142 @t144 @t146 @t147 @t148 @t149 @t150 @t151 @t153 @t154 @t155 @t156 @t157 @t158 @t159 @t160 @t161 @t162 @t163 @t166 @t44 @t167 @t169 @t171)) % 0.72/0.96 (assume @p1 @t4) % 0.72/0.96 (assume @p2 @t6) % 0.72/0.96 (assume @p3 @t11) % 0.72/0.96 (assume @p4 @t14) % 0.72/0.96 (assume @p5 (forall @t10 (= @t12 (tptp.meet @t7 @t1)))) % 0.72/0.96 (assume @p6 (forall @t10 (= @t8 (tptp.join @t7 @t1)))) % 0.72/0.96 (assume @p7 (forall @t16 (= (tptp.meet @t12 @t15) (tptp.meet @t1 (tptp.meet @t7 @t15))))) % 0.72/0.96 (assume @p8 (forall @t16 (= (tptp.join @t8 @t15) (tptp.join @t1 (tptp.join @t7 @t15))))) % 0.72/0.96 (assume @p9 @t19) % 0.72/0.96 (assume @p10 @t21) % 0.72/0.96 (assume @p11 @t25) % 0.72/0.96 (assume @p12 (forall (@list @t1 @t7 @t15 @t26) (= (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t15 (tptp.join @t1 @t26)))) (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t15 (tptp.join @t1 (tptp.meet @t15 (tptp.join @t7 @t26))))))))) % 0.72/0.96 (assume @p13 (= @t27 tptp.a)) % 0.72/0.96 (assume @p14 (not (= @t30 @t28))) % 0.72/0.96 (step @p15 :rule symm :premises (@p13)) % 0.72/0.96 (step @p16 :rule eq-symm :args (@t9 @t1)) % 0.72/0.96 (step @p17 :rule cong :premises (@p16) :args (@t11)) % 0.72/0.96 (step @p18 :rule eq_resolve :premises (@p3 @p17)) % 0.72/0.96 (step @p19 :rule instantiate :premises (@p18) :args (@t31)) % 0.72/0.96 (step @p20 :rule eq-symm :args (@t13 @t1)) % 0.72/0.96 (step @p21 :rule cong :premises (@p20) :args (@t14)) % 0.72/0.96 (step @p22 :rule eq_resolve :premises (@p4 @p21)) % 0.72/0.96 (step @p23 :rule instantiate :premises (@p22) :args (@t32)) % 0.72/0.96 (step @p24 :rule instantiate :premises (@p6) :args (@t31)) % 0.72/0.96 (step @p25 :rule eq-symm :args (@t18 tptp.one)) % 0.72/0.96 (step @p26 :rule cong :premises (@p25) :args (@t19)) % 0.72/0.96 (step @p27 :rule eq_resolve :premises (@p9 @p26)) % 0.72/0.96 (step @p28 :rule instantiate :premises (@p27) :args (@t33)) % 0.72/0.96 (step @p29 :rule instantiate :premises (@p27) :args (@t34)) % 0.72/0.96 (step @p30 :rule instantiate :premises (@p18) :args (@t35)) % 0.72/0.96 (step @p31 :rule instantiate :premises (@p18) :args ((@list @t28 @t29))) % 0.72/0.96 (step @p32 :rule instantiate :premises (@p22) :args ((@list @t29 @t30))) % 0.72/0.96 (step @p33 :rule instantiate :premises (@p5) :args (@t31)) % 0.72/0.96 (step @p34 :rule instantiate :premises (@p6) :args (@t35)) % 0.72/0.96 (step @p35 :rule instantiate :premises (@p6) :args ((@list tptp.b @t27))) % 0.72/0.96 (step @p36 :rule instantiate :premises (@p27) :args (@t36)) % 0.72/0.96 (step @p37 :rule eq-symm :args (@t5 @t1)) % 0.72/0.96 (step @p38 :rule cong :premises (@p37) :args (@t6)) % 0.72/0.96 (step @p39 :rule eq_resolve :premises (@p2 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0.72/0.96 (assume-push @p515 @t167) % 0.72/0.96 (assume-push @p516 @t169) % 0.72/0.96 (assume-push @p517 @t171) % 0.72/0.96 (step @p410 :rule trans :premises (@p123 @p117)) % 0.72/0.96 (step @p411 :rule cong :premises (@p102 @p410) :args (@t168)) % 0.72/0.96 (step @p412 :rule symm :premises (@p383)) % 0.72/0.96 (step @p413 :rule cong :premises (@p124 @p102) :args ((tptp.join @t145 tptp.a))) % 0.72/0.96 (step @p414 :rule symm :premises (@p41)) % 0.72/0.96 (step @p415 :rule symm :premises (@p44)) % 0.72/0.96 (step @p416 :rule trans :premises (@p248 @p194 @p15)) % 0.72/0.96 (step @p417 :rule cong :premises (@p109 @p416) :args (@t121)) % 0.72/0.96 (step @p418 :rule symm :premises (@p80)) % 0.72/0.96 (step @p419 :rule cong :premises (@p294 @p99) :args (@t60)) % 0.72/0.96 (step @p420 :rule trans :premises (@p313 @p312 @p419 @p46)) % 0.72/0.96 (step @p421 :rule cong :premises (@p15 @p420) :args (@t106)) % 0.72/0.96 (step @p422 :rule trans :premises (@p242 @p421 @p418 @p13 @p30 @p135)) % 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@p484 :rule implies_elim :premises (@p458)) % 0.72/0.96 (step @p485 :rule cnf_and_neg :args (@t175)) % 0.72/0.96 (step @p486 :rule resolution :premises (@p485 @p484) :args (true @t175)) % 0.72/0.96 (step @p487 :rule reordering :premises (@p486) :args ((or (not @t141) (not @t142) (not @t144) (not @t146) (not @t147) (not @t148) (not @t149) (not @t150) (not @t151) (not @t153) (not @t154) (not @t155) (not @t156) (not @t157) (not @t158) (not @t159) (not @t160) (not @t161) (not @t162) (not @t163) (not @t166) (not @t44) @t71 (not @t167) (not @t169) (not @t171)))) % 0.72/0.96 (step @p488 false :rule chain_m_resolution :premises (@p487 @p384 @p383 @p382 @p80 @p79 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p24 @p23 @p19 @p15) :args (false (@list false false true false false false false false false false false false false false false false false false false false false false false false false false) (@list @t171 @t169 @t71 @t167 @t44 @t166 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t156 @t155 @t154 @t153 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t142 @t141))) % 0.72/0.96 ) % 0.72/0.96 % SZS output end Proof % 0.72/0.97 % cvc5 exiting %------------------------------------------------------------------------------