%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT252-1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:29:59 AM UTC 2026 % Result : Unsatisfiable 35.58s 35.86s % Output : Proof 35.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : LAT252-1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 06:06:33 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.18/15.49 --- Run --no-e-matching --full-saturate-quant at 6... % 21.28/21.51 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.28/27.54 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.29/33.56 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.58/35.86 % SZS status Unsatisfiable % 35.58/35.86 % SZS output start Proof % 35.58/35.87 ( % 35.58/35.87 (declare-sort $$unsorted 0) % 35.58/35.87 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 35.58/35.87 (declare-const tptp.one $$unsorted) % 35.58/35.87 (declare-const tptp.a $$unsorted) % 35.58/35.87 (declare-const tptp.zero $$unsorted) % 35.58/35.87 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 35.58/35.87 (declare-const tptp.b $$unsorted) % 35.58/35.87 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 35.58/35.87 (define @t1 () (@var "X" $$unsorted)) % 35.58/35.87 (define @t2 () (tptp.meet @t1 @t1)) % 35.58/35.87 (define @t3 () (@list @t1)) % 35.58/35.87 (define @t4 () (forall @t3 (= @t2 @t1))) % 35.58/35.87 (define @t5 () (@var "Y" $$unsorted)) % 35.58/35.87 (define @t6 () (tptp.join @t1 @t5)) % 35.58/35.87 (define @t7 () (tptp.meet @t1 @t6)) % 35.58/35.87 (define @t8 () (@list @t1 @t5)) % 35.58/35.87 (define @t9 () (forall @t8 (= @t7 @t1))) % 35.58/35.87 (define @t10 () (tptp.meet @t1 @t5)) % 35.58/35.87 (define @t11 () (tptp.join @t1 @t10)) % 35.58/35.87 (define @t12 () (forall @t8 (= @t11 @t1))) % 35.58/35.87 (define @t13 () (@var "Z" $$unsorted)) % 35.58/35.87 (define @t14 () (@list @t1 @t5 @t13)) % 35.58/35.87 (define @t15 () (tptp.complement @t1)) % 35.58/35.87 (define @t16 () (tptp.join @t1 @t15)) % 35.58/35.87 (define @t17 () (forall @t3 (= @t16 tptp.one))) % 35.58/35.87 (define @t18 () (tptp.meet @t1 @t15)) % 35.58/35.87 (define @t19 () (forall @t3 (= @t18 tptp.zero))) % 35.58/35.87 (define @t20 () (not (= @t6 tptp.one))) % 35.58/35.87 (define @t21 () (not (= @t10 tptp.zero))) % 35.58/35.87 (define @t22 () (or @t21 @t20 (= @t15 @t5))) % 35.58/35.87 (define @t23 () (forall @t8 @t22)) % 35.58/35.87 (define @t24 () (@var "U" $$unsorted)) % 35.58/35.87 (define @t25 () (tptp.meet tptp.b tptp.a)) % 35.58/35.87 (define @t26 () (tptp.complement tptp.a)) % 35.58/35.87 (define @t27 () (tptp.complement tptp.b)) % 35.58/35.87 (define @t28 () (tptp.join @t27 @t26)) % 35.58/35.87 (define @t29 () (@list @t27 @t26)) % 35.58/35.87 (define @t30 () (@list tptp.b tptp.a)) % 35.58/35.87 (define @t31 () (@list tptp.b)) % 35.58/35.87 (define @t32 () (@list tptp.a)) % 35.58/35.87 (define @t33 () (@list tptp.b @t27)) % 35.58/35.87 (define @t34 () (@list tptp.a @t26)) % 35.58/35.87 (define @t35 () (tptp.join @t26 @t27)) % 35.58/35.87 (define @t36 () (tptp.meet @t27 @t35)) % 35.58/35.87 (define @t37 () (tptp.join @t26 @t36)) % 35.58/35.87 (define @t38 () (tptp.meet @t27 @t37)) % 35.58/35.87 (define @t39 () (@list @t26 tptp.a)) % 35.58/35.87 (define @t40 () (tptp.join @t27 @t38)) % 35.58/35.87 (define @t41 () (tptp.join @t27 @t27)) % 35.58/35.87 (define @t42 () (tptp.meet @t26 @t41)) % 35.58/35.87 (define @t43 () (tptp.join @t27 @t42)) % 35.58/35.87 (define @t44 () (tptp.meet tptp.b @t27)) % 35.58/35.87 (define @t45 () (tptp.join tptp.b @t44)) % 35.58/35.87 (define @t46 () (tptp.meet @t27 @t45)) % 35.58/35.87 (define @t47 () (tptp.join @t26 tptp.a)) % 35.58/35.87 (define @t48 () (tptp.join tptp.b (tptp.meet tptp.a (tptp.join tptp.b (tptp.meet tptp.b @t47))))) % 35.58/35.87 (define @t49 () (tptp.meet @t26 @t43)) % 35.58/35.87 (define @t50 () (tptp.join @t27 @t49)) % 35.58/35.87 (define @t51 () (tptp.meet @t42 @t50)) % 35.58/35.87 (define @t52 () (tptp.join @t26 @t51)) % 35.58/35.87 (define @t53 () (tptp.join tptp.a tptp.b)) % 35.58/35.87 (define @t54 () (tptp.meet tptp.b @t53)) % 35.58/35.87 (define @t55 () (tptp.meet @t54 @t52)) % 35.58/35.87 (define @t56 () (tptp.join @t44 @t26)) % 35.58/35.87 (define @t57 () (tptp.meet @t27 @t56)) % 35.58/35.87 (define @t58 () (tptp.join tptp.b @t57)) % 35.58/35.87 (define @t59 () (not (= @t58 tptp.one))) % 35.58/35.87 (define @t60 () (tptp.meet tptp.b @t57)) % 35.58/35.87 (define @t61 () (not (= @t60 tptp.zero))) % 35.58/35.87 (define @t62 () (or @t61 @t59 (= @t57 @t27))) % 35.58/35.87 (define @t63 () (forall @t8 (or @t21 @t20 (= @t5 @t15)))) % 35.58/35.87 (define @t64 () (= @t27 @t57)) % 35.58/35.87 (define @t65 () (= tptp.one @t58)) % 35.58/35.87 (define @t66 () (not @t65)) % 35.58/35.87 (define @t67 () (= tptp.zero @t60)) % 35.58/35.87 (define @t68 () (not @t67)) % 35.58/35.87 (define @t69 () (or @t68 @t66 @t64)) % 35.58/35.87 (define @t70 () (tptp.join @t46 @t26)) % 35.58/35.87 (define @t71 () (tptp.meet @t26 tptp.a)) % 35.58/35.87 (define @t72 () (tptp.join @t26 @t71)) % 35.58/35.87 (define @t73 () (tptp.meet @t27 @t28)) % 35.58/35.87 (define @t74 () (tptp.join tptp.b @t27)) % 35.58/35.87 (define @t75 () (tptp.join @t26 @t26)) % 35.58/35.87 (define @t76 () (tptp.meet @t27 @t75)) % 35.58/35.87 (define @t77 () (tptp.meet @t27 @t26)) % 35.58/35.87 (define @t78 () (tptp.join @t27 @t73)) % 35.58/35.87 (define @t79 () (tptp.meet @t26 @t78)) % 35.58/35.87 (define @t80 () (tptp.join tptp.b @t42)) % 35.58/35.87 (define @t81 () (tptp.meet @t27 (tptp.join @t44 tptp.a))) % 35.58/35.87 (define @t82 () (tptp.join @t42 tptp.b)) % 35.58/35.87 (define @t83 () (tptp.meet @t27 (tptp.join @t26 tptp.b))) % 35.58/35.87 (define @t84 () (tptp.meet tptp.a @t26)) % 35.58/35.87 (define @t85 () (@list tptp.a @t84)) % 35.58/35.87 (define @t86 () (tptp.meet @t27 @t53)) % 35.58/35.87 (define @t87 () (tptp.join tptp.a @t86)) % 35.58/35.87 (define @t88 () (tptp.join tptp.b @t25)) % 35.58/35.87 (define @t89 () (tptp.meet tptp.a @t88)) % 35.58/35.87 (define @t90 () (tptp.join tptp.b @t89)) % 35.58/35.87 (define @t91 () (tptp.meet @t25 @t90)) % 35.58/35.87 (define @t92 () (tptp.meet tptp.a (tptp.join tptp.a @t84))) % 35.58/35.87 (define @t93 () (tptp.join tptp.a @t92)) % 35.58/35.87 (define @t94 () (tptp.meet tptp.b @t93)) % 35.58/35.87 (define @t95 () (tptp.join tptp.a tptp.a)) % 35.58/35.87 (define @t96 () (tptp.meet tptp.b @t95)) % 35.58/35.87 (define @t97 () (tptp.join @t25 @t96)) % 35.58/35.87 (define @t98 () (tptp.join @t25 @t27)) % 35.58/35.87 (define @t99 () (tptp.meet @t26 (tptp.join tptp.b @t98))) % 35.58/35.87 (define @t100 () (tptp.join tptp.b @t99)) % 35.58/35.87 (define @t101 () (tptp.join tptp.b @t26)) % 35.58/35.87 (define @t102 () (tptp.meet @t27 @t101)) % 35.58/35.87 (define @t103 () (tptp.meet @t74 tptp.b)) % 35.58/35.87 (define @t104 () (tptp.join tptp.a @t103)) % 35.58/35.87 (define @t105 () (tptp.join tptp.a @t26)) % 35.58/35.87 (define @t106 () (tptp.meet @t27 @t105)) % 35.58/35.87 (define @t107 () (tptp.join @t27 tptp.b)) % 35.58/35.87 (define @t108 () (@list @t27 tptp.b)) % 35.58/35.87 (define @t109 () (tptp.meet @t27 @t82)) % 35.58/35.87 (define @t110 () (tptp.meet tptp.b @t41)) % 35.58/35.87 (define @t111 () (tptp.join @t99 @t110)) % 35.58/35.87 (define @t112 () (tptp.meet @t27 @t111)) % 35.58/35.87 (define @t113 () (tptp.join tptp.b @t112)) % 35.58/35.87 (define @t114 () (tptp.join tptp.b @t83)) % 35.58/35.87 (define @t115 () (tptp.meet @t26 (tptp.join @t42 @t102))) % 35.58/35.87 (define @t116 () (tptp.join tptp.b tptp.a)) % 35.58/35.87 (define @t117 () (tptp.meet tptp.b @t116)) % 35.58/35.87 (define @t118 () (tptp.meet tptp.b @t114)) % 35.58/35.87 (define @t119 () (tptp.join @t98 @t118)) % 35.58/35.87 (define @t120 () (tptp.meet @t27 @t119)) % 35.58/35.87 (define @t121 () (tptp.meet @t83 @t101)) % 35.58/35.87 (define @t122 () (tptp.join @t26 @t118)) % 35.58/35.87 (define @t123 () (tptp.meet @t83 @t122)) % 35.58/35.87 (define @t124 () (tptp.meet @t27 @t40)) % 35.58/35.87 (define @t125 () (tptp.meet @t27 tptp.b)) % 35.58/35.87 (define @t126 () (tptp.join @t42 @t118)) % 35.58/35.87 (define @t127 () (tptp.join @t26 @t46)) % 35.58/35.87 (define @t128 () (tptp.meet @t27 @t127)) % 35.58/35.87 (define @t129 () (= tptp.a @t25)) % 35.58/35.87 (define @t130 () (= @t27 @t73)) % 35.58/35.87 (define @t131 () (= tptp.b @t88)) % 35.58/35.87 (define @t132 () (tptp.meet tptp.a tptp.b)) % 35.58/35.87 (define @t133 () (= @t25 @t132)) % 35.58/35.87 (define @t134 () (= @t28 @t35)) % 35.58/35.87 (define @t135 () (= tptp.one @t74)) % 35.58/35.87 (define @t136 () (= tptp.one @t105)) % 35.58/35.87 (define @t137 () (= tptp.zero @t44)) % 35.58/35.87 (define @t138 () (= tptp.zero @t84)) % 35.58/35.87 (define @t139 () (tptp.meet tptp.b tptp.b)) % 35.58/35.87 (define @t140 () (= tptp.b @t139)) % 35.58/35.87 (define @t141 () (tptp.meet tptp.b @t74)) % 35.58/35.87 (define @t142 () (= tptp.b @t141)) % 35.58/35.87 (define @t143 () (= @t27 (tptp.join @t27 @t77))) % 35.58/35.87 (define @t144 () (= @t27 @t78)) % 35.58/35.87 (define @t145 () (= tptp.b @t45)) % 35.58/35.87 (define @t146 () (tptp.join tptp.b @t139)) % 35.58/35.87 (define @t147 () (= tptp.b @t146)) % 35.58/35.87 (define @t148 () (= @t84 @t71)) % 35.58/35.87 (define @t149 () (tptp.meet @t26 @t27)) % 35.58/35.87 (define @t150 () (= @t77 @t149)) % 35.58/35.87 (define @t151 () (= @t44 @t125)) % 35.58/35.87 (define @t152 () (= @t105 @t47)) % 35.58/35.87 (define @t153 () (= @t88 (tptp.join @t25 tptp.b))) % 35.58/35.87 (define @t154 () (= @t27 @t124)) % 35.58/35.87 (define @t155 () (tptp.meet @t26 tptp.b)) % 35.58/35.87 (define @t156 () (tptp.meet tptp.b @t26)) % 35.58/35.87 (define @t157 () (= @t156 @t155)) % 35.58/35.87 (define @t158 () (= @t26 @t72)) % 35.58/35.87 (define @t159 () (tptp.join @t26 (tptp.meet @t26 @t40))) % 35.58/35.87 (define @t160 () (= @t26 @t159)) % 35.58/35.87 (define @t161 () (tptp.meet @t27 @t43)) % 35.58/35.87 (define @t162 () (tptp.meet @t26 @t161)) % 35.58/35.87 (define @t163 () (= (tptp.meet @t149 @t43) @t162)) % 35.58/35.87 (define @t164 () (= @t127 @t70)) % 35.58/35.87 (define @t165 () (= @t26 (tptp.join @t26 (tptp.meet @t26 @t48)))) % 35.58/35.87 (define @t166 () (tptp.join @t26 @t55)) % 35.58/35.87 (define @t167 () (= @t166 (tptp.join @t55 @t26))) % 35.58/35.87 (define @t168 () (tptp.join @t156 @t26)) % 35.58/35.87 (define @t169 () (= @t26 @t28)) % 35.58/35.87 (define @t170 () (and @t129 @t130 @t131 @t133 @t134 @t135 @t136 @t137 @t138 @t140 @t142 @t143 @t144 @t145 @t147 @t148 @t150 @t151 @t152 @t153 @t154 @t157 @t158 @t160 @t163 @t164 @t165 @t64 @t167)) % 35.58/35.87 (assume @p1 @t4) % 35.58/35.87 (assume @p2 (forall @t3 (= (tptp.join @t1 @t1) @t1))) % 35.58/35.87 (assume @p3 @t9) % 35.58/35.87 (assume @p4 @t12) % 35.58/35.87 (assume @p5 (forall @t8 (= @t10 (tptp.meet @t5 @t1)))) % 35.58/35.87 (assume @p6 (forall @t8 (= @t6 (tptp.join @t5 @t1)))) % 35.58/35.87 (assume @p7 (forall @t14 (= (tptp.meet @t10 @t13) (tptp.meet @t1 (tptp.meet @t5 @t13))))) % 35.58/35.87 (assume @p8 (forall @t14 (= (tptp.join @t6 @t13) (tptp.join @t1 (tptp.join @t5 @t13))))) % 35.58/35.87 (assume @p9 @t17) % 35.58/35.87 (assume @p10 @t19) % 35.58/35.87 (assume @p11 @t23) % 35.58/35.87 (assume @p12 (forall (@list @t1 @t5 @t13 @t24) (= (tptp.meet @t1 (tptp.join @t5 (tptp.meet @t13 (tptp.join @t5 @t24)))) (tptp.meet @t1 (tptp.join @t5 (tptp.meet @t13 (tptp.join @t24 (tptp.meet @t5 (tptp.join @t1 @t13))))))))) % 35.58/35.87 (assume @p13 (= @t25 tptp.a)) % 35.58/35.87 (assume @p14 (not (= @t28 @t26))) % 35.58/35.87 (step @p15 :rule symm :premises (@p13)) % 35.58/35.87 (step @p16 :rule symm :premises (@p14)) % 35.58/35.87 (step @p17 :rule eq-symm :args (@t7 @t1)) % 35.58/35.87 (step @p18 :rule cong :premises (@p17) :args (@t9)) % 35.58/35.87 (step @p19 :rule eq_resolve :premises (@p3 @p18)) % 35.58/35.87 (step @p20 :rule instantiate :premises (@p19) :args (@t29)) % 35.58/35.87 (step @p21 :rule eq-symm :args (@t11 @t1)) % 35.58/35.87 (step @p22 :rule cong :premises (@p21) :args (@t12)) % 35.58/35.87 (step @p23 :rule eq_resolve :premises (@p4 @p22)) % 35.58/35.87 (step @p24 :rule instantiate :premises (@p23) :args (@t30)) % 35.58/35.87 (step @p25 :rule instantiate :premises (@p5) :args (@t30)) % 35.58/35.87 (step @p26 :rule instantiate :premises (@p6) :args (@t29)) % 35.58/35.87 (step @p27 :rule eq-symm :args (@t16 tptp.one)) % 35.58/35.87 (step @p28 :rule cong :premises (@p27) :args (@t17)) % 35.58/35.87 (step @p29 :rule eq_resolve :premises (@p9 @p28)) % 35.58/35.87 (step @p30 :rule instantiate :premises (@p29) :args (@t31)) % 35.58/35.87 (step @p31 :rule instantiate :premises (@p29) :args (@t32)) % 35.58/35.87 (step @p32 :rule eq-symm :args (@t18 tptp.zero)) % 35.58/35.87 (step @p33 :rule cong :premises (@p32) :args (@t19)) % 35.58/35.87 (step @p34 :rule eq_resolve :premises (@p10 @p33)) % 35.58/35.87 (step @p35 :rule instantiate :premises (@p34) :args (@t31)) % 35.58/35.87 (step @p36 :rule instantiate :premises (@p34) :args (@t32)) % 35.58/35.87 (step @p37 :rule eq-symm :args (@t2 @t1)) % 35.58/35.87 (step @p38 :rule cong :premises (@p37) :args (@t4)) % 35.58/35.87 (step @p39 :rule eq_resolve :premises (@p1 @p38)) % 35.58/35.87 (step @p40 :rule instantiate :premises (@p39) :args (@t31)) % 35.58/35.87 (step @p41 :rule instantiate :premises (@p19) :args (@t33)) % 35.58/35.87 (step @p42 :rule instantiate :premises (@p23) :args (@t29)) % 35.58/35.87 (step @p43 :rule instantiate :premises (@p23) :args ((@list @t27 @t28))) % 35.58/35.87 (step @p44 :rule instantiate :premises (@p23) :args (@t33)) % 35.58/35.87 (step @p45 :rule instantiate :premises (@p23) :args ((@list tptp.b tptp.b))) % 35.58/35.87 (step @p46 :rule instantiate :premises (@p5) :args (@t34)) % 35.58/35.87 (step @p47 :rule instantiate :premises (@p5) :args (@t29)) % 35.58/35.87 (step @p48 :rule instantiate :premises (@p5) :args (@t33)) % 35.58/35.87 (step @p49 :rule instantiate :premises (@p6) :args (@t34)) % 35.58/35.87 (step @p50 :rule instantiate :premises (@p6) :args ((@list tptp.b @t25))) % 35.58/35.87 (step @p51 :rule instantiate :premises (@p19) :args ((@list @t27 @t38))) % 35.58/35.87 (step @p52 :rule instantiate :premises (@p5) :args ((@list tptp.b @t26))) % 35.58/35.87 (step @p53 :rule instantiate :premises (@p23) :args (@t39)) % 35.58/35.87 (step @p54 :rule instantiate :premises (@p23) :args ((@list @t26 @t40))) % 35.58/35.87 (step @p55 :rule instantiate :premises (@p7) :args ((@list @t26 @t27 @t43))) % 35.58/35.87 (step @p56 :rule instantiate :premises (@p6) :args ((@list @t26 @t46))) % 35.58/35.87 (step @p57 :rule instantiate :premises (@p23) :args ((@list @t26 @t48))) % 35.58/35.87 (step @p58 :rule instantiate :premises (@p6) :args ((@list @t26 @t55))) % 35.58/35.87 (step @p59 :rule eq-symm :args (@t15 @t5)) % 35.58/35.87 (step @p60 :rule refl :args (@t20)) % 35.58/35.87 (step @p61 :rule refl :args (@t21)) % 35.58/35.87 (step @p62 :rule nary_cong :premises (@p61 @p60 @p59) :args (@t22)) % 35.58/35.87 (step @p63 :rule cong :premises (@p62) :args (@t23)) % 35.58/35.87 (step @p64 :rule eq_resolve :premises (@p11 @p63)) % 35.58/35.87 (step @p65 :rule eq-symm :args (@t57 @t27)) % 35.58/35.87 (step @p66 :rule eq-symm :args (@t58 tptp.one)) % 35.58/35.87 (step @p67 :rule cong :premises (@p66) :args (@t59)) % 35.58/35.87 (step @p68 :rule eq-symm :args (@t60 tptp.zero)) % 35.58/35.87 (step @p69 :rule cong :premises (@p68) :args (@t61)) % 35.58/35.87 (step @p70 :rule nary_cong :premises (@p69 @p67 @p65) :args (@t62)) % 35.58/35.87 (step @p71 :rule refl :args (@t63)) % 35.58/35.87 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t63 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:premises (@p296 @p214 @p213 @p212)) % 35.58/35.87 (step @p298 :rule cong :premises (@p292 @p297) :args (@t123)) % 35.58/35.87 (step @p299 :rule cong :premises (@p97 @p298) :args ((tptp.join tptp.b @t123))) % 35.58/35.87 (step @p300 :rule symm :premises (@p298)) % 35.58/35.87 (step @p301 :rule symm :premises (@p293)) % 35.58/35.87 (step @p302 :rule symm :premises (@p283)) % 35.58/35.87 (step @p303 :rule symm :premises (@p280)) % 35.58/35.87 (step @p304 :rule symm :premises (@p279)) % 35.58/35.87 (step @p305 :rule symm :premises (@p259)) % 35.58/35.87 (step @p306 :rule trans :premises (@p234 @p233 @p229 @p211 @p254 @p305 @p304 @p303 @p302 @p301 @p300)) % 35.58/35.87 (step @p307 :rule cong :premises (@p97 @p306) :args (@t74)) % 35.58/35.87 (step @p308 :rule trans :premises (@p99 @p30 @p307 @p299 @p295 @p253)) % 35.58/35.87 (step @p309 :rule cong :premises (@p83 @p308) :args (@t106)) % 35.58/35.87 (step @p310 :rule trans :premises (@p120 @p93 @p234 @p233 @p309 @p251 @p250 @p236)) % 35.58/35.87 (step @p311 :rule cong :premises (@p123 @p310) :args (@t40)) % 35.58/35.87 (step @p312 :rule symm :premises (@p121)) % 35.58/35.87 (step @p313 :rule symm :premises (@p42)) % 35.58/35.87 (step @p314 :rule trans :premises (@p126 @p114 @p112)) % 35.58/35.87 (step @p315 :rule cong :premises (@p83 @p314) :args (@t43)) % 35.58/35.87 (step @p316 :rule trans :premises (@p315 @p313 @p43 @p312 @p311)) % 35.58/35.87 (step @p317 :rule cong :premises (@p191 @p316) :args ((tptp.meet @t44 @t43))) % 35.58/35.87 (step @p318 :rule instantiate :premises (@p7) :args ((@list tptp.b @t27 @t43))) % 35.58/35.87 (step @p319 :rule symm :premises (@p318)) % 35.58/35.87 (step @p320 :rule symm :premises (@p315)) % 35.58/35.87 (step @p321 :rule trans :premises (@p121 @p113 @p42 @p320)) % 35.58/35.87 (step @p322 :rule cong :premises (@p83 @p321) :args (@t124)) % 35.58/35.87 (step @p323 :rule trans :premises (@p51 @p322)) % 35.58/35.87 (step @p324 :rule cong :premises (@p97 @p323) :args (@t44)) % 35.58/35.87 (step @p325 :rule cong :premises (@p97 @p93) :args ((tptp.meet tptp.b @t73))) % 35.58/35.87 (step @p326 :rule instantiate :premises (@p7) :args ((@list tptp.b @t27 @t28))) % 35.58/35.87 (step @p327 :rule trans :premises (@p326 @p325 @p324 @p319 @p317)) % 35.58/35.87 (step @p328 :rule cong :premises (@p235 @p327) :args ((tptp.join @t27 (tptp.meet @t44 @t28)))) % 35.58/35.87 (step @p329 :rule symm :premises (@p326)) % 35.58/35.87 (step @p330 :rule symm :premises (@p325)) % 35.58/35.87 (step @p331 :rule trans :premises (@p81 @p330 @p329)) % 35.58/35.87 (step @p332 :rule cong :premises (@p83 @p331) :args ((tptp.join @t27 @t125))) % 35.58/35.87 (step @p333 :rule instantiate :premises (@p23) :args (@t108)) % 35.58/35.87 (step @p334 :rule symm :premises (@p229)) % 35.58/35.87 (step @p335 :rule symm :premises (@p211)) % 35.58/35.87 (step @p336 :rule trans :premises (@p252 @p335 @p334 @p261 @p260 @p333 @p332 @p328)) % 35.58/35.87 (step @p337 :rule cong :premises (@p194 @p273) :args (@t126)) % 35.58/35.87 (step @p338 :rule cong :premises (@p337 @p336) :args ((tptp.meet @t126 @t83))) % 35.58/35.87 (step @p339 :rule instantiate :premises (@p5) :args ((@list @t83 @t126))) % 35.58/35.87 (step @p340 :rule symm :premises (@p337)) % 35.58/35.87 (step @p341 :rule trans :premises (@p237 @p340)) % 35.58/35.87 (step @p342 :rule cong :premises (@p292 @p341) :args ((tptp.meet @t83 @t80))) % 35.58/35.87 (step @p343 :rule cong :premises (@p235 @p129) :args (@t109)) % 35.58/35.87 (step @p344 :rule trans :premises (@p234 @p233 @p309 @p251 @p250 @p343 @p342 @p339 @p338)) % 35.58/35.87 (step @p345 :rule refl :args (@t82)) % 35.58/35.87 (step @p346 :rule cong :premises (@p345 @p344) :args ((tptp.join @t82 @t27))) % 35.58/35.87 (step @p347 :rule instantiate :premises (@p6) :args ((@list @t27 @t82))) % 35.58/35.87 (step @p348 :rule instantiate :premises (@p8) :args ((@list @t27 @t42 tptp.b))) % 35.58/35.87 (step @p349 :rule trans :premises (@p42 @p320)) % 35.58/35.87 (step @p350 :rule cong :premises (@p349 @p97) :args (@t107)) % 35.58/35.87 (step @p351 :rule trans :premises (@p30 @p230 @p350 @p348 @p347 @p346 @p131 @p129 @p128 @p109)) % 35.58/35.87 (step @p352 :rule trans :premises (@p240 @p239)) % 35.58/35.87 (step @p353 :rule cong :premises (@p20 @p352) :args (@t128)) % 35.58/35.87 (step @p354 :rule trans :premises (@p353 @p94)) % 35.58/35.87 (step @p355 :rule cong :premises (@p97 @p354) :args ((tptp.meet tptp.b @t128))) % 35.58/35.87 (step @p356 :rule instantiate :premises (@p7) :args ((@list tptp.b @t27 @t127))) % 35.58/35.87 (step @p357 :rule symm :premises (@p56)) % 35.58/35.87 (step @p358 :rule symm :premises (@p86)) % 35.58/35.87 (step @p359 :rule trans :premises (@p358 @p357)) % 35.58/35.87 (step @p360 :rule refl :args (@t44)) % 35.58/35.87 (step @p361 :rule cong :premises (@p360 @p359) :args ((tptp.meet @t44 @t56))) % 35.58/35.87 (step @p362 :rule instantiate :premises (@p19) :args ((@list @t44 @t26))) % 35.58/35.87 (step @p363 :rule trans :premises (@p35 @p362 @p361 @p356 @p355)) % 35.58/35.87 (step @p364 :rule cnf_or_pos :args (@t69)) % 35.58/35.87 (step @p365 :rule reordering :premises (@p364) :args ((or @t68 @t66 @t64 (not @t69)))) % 35.58/35.87 (step @p366 :rule chain_m_resolution :premises (@p365 @p363 @p351 @p79) :args (@t64 (@list false false false) (@list @t67 @t65 @t69))) % 35.58/35.87 (assume-push @p479 @t129) % 35.58/35.87 (assume-push @p480 @t130) % 35.58/35.87 (assume-push @p481 @t131) % 35.58/35.87 (assume-push @p482 @t133) % 35.58/35.87 (assume-push @p483 @t134) % 35.58/35.87 (assume-push @p484 @t135) % 35.58/35.87 (assume-push @p485 @t136) % 35.58/35.87 (assume-push @p486 @t137) % 35.58/35.87 (assume-push @p487 @t138) % 35.58/35.87 (assume-push @p488 @t140) % 35.58/35.87 (assume-push @p489 @t142) % 35.58/35.87 (assume-push @p490 @t143) % 35.58/35.87 (assume-push @p491 @t144) % 35.58/35.87 (assume-push @p492 @t145) % 35.58/35.87 (assume-push @p493 @t147) % 35.58/35.87 (assume-push @p494 @t148) % 35.58/35.87 (assume-push @p495 @t150) % 35.58/35.87 (assume-push @p496 @t151) % 35.58/35.87 (assume-push @p497 @t152) % 35.58/35.87 (assume-push @p498 @t153) % 35.58/35.87 (assume-push @p499 @t154) % 35.58/35.87 (assume-push @p500 @t157) % 35.58/35.87 (assume-push @p501 @t158) % 35.58/35.87 (assume-push @p502 @t160) % 35.58/35.87 (assume-push @p503 @t163) % 35.58/35.87 (assume-push @p504 @t164) % 35.58/35.87 (assume-push @p505 @t165) % 35.58/35.87 (assume-push @p506 @t64) % 35.58/35.87 (assume-push @p507 @t167) % 35.58/35.87 (step @p396 :rule symm :premises (@p117)) % 35.58/35.87 (step @p397 :rule symm :premises (@p57)) % 35.58/35.87 (step @p398 :rule cong :premises (@p97 @p225) :args (@t141)) % 35.58/35.87 (step @p399 :rule trans :premises (@p41 @p398)) % 35.58/35.87 (step @p400 :rule cong :premises (@p97 @p399) :args ((tptp.join tptp.b tptp.b))) % 35.58/35.87 (step @p401 :rule cong :premises (@p97 @p264) :args (@t146)) % 35.58/35.87 (step @p402 :rule trans :premises (@p45 @p401 @p400)) % 35.58/35.87 (step @p403 :rule cong :premises (@p134 @p402) :args (@t132)) % 35.58/35.87 (step @p404 :rule trans :premises (@p25 @p403)) % 35.58/35.87 (step @p405 :rule cong :premises (@p97 @p404) :args (@t88)) % 35.58/35.87 (step @p406 :rule trans :premises (@p24 @p405)) % 35.58/35.87 (step @p407 :rule cong :premises (@p80 @p406) :args (@t155)) % 35.58/35.87 (step @p408 :rule symm :premises (@p54)) % 35.58/35.87 (step @p409 :rule cong :premises (@p80 @p312) :args (@t79)) % 35.58/35.87 (step @p410 :rule cong :premises (@p80 @p43) :args (@t149)) % 35.58/35.87 (step @p411 :rule symm :premises (@p51)) % 35.58/35.87 (step @p412 :rule trans :premises (@p315 @p313 @p43 @p312)) % 35.58/35.87 (step @p413 :rule cong :premises (@p83 @p412) :args (@t161)) % 35.58/35.87 (step @p414 :rule trans :premises (@p413 @p411)) % 35.58/35.87 (step @p415 :rule cong :premises (@p80 @p414) :args (@t162)) % 35.58/35.87 (step @p416 :rule symm :premises (@p126)) % 35.58/35.87 (step @p417 :rule trans :premises (@p315 @p313)) % 35.58/35.87 (step @p418 :rule cong :premises (@p80 @p417) :args (@t49)) % 35.58/35.87 (step @p419 :rule trans :premises (@p418 @p410 @p416)) % 35.58/35.87 (step @p420 :rule cong :premises (@p83 @p419) :args (@t50)) % 35.58/35.87 (step @p421 :rule trans :premises (@p126 @p114)) % 35.58/35.87 (step @p422 :rule cong :premises (@p421 @p420) :args (@t51)) % 35.58/35.87 (step @p423 :rule trans :premises (@p422 @p55 @p415 @p410 @p409)) % 35.58/35.87 (step @p424 :rule cong :premises (@p80 @p423) :args (@t52)) % 35.58/35.87 (step @p425 :rule trans :premises (@p424 @p408)) % 35.58/35.87 (step @p426 :rule cong :premises (@p97 @p142) :args (@t54)) % 35.58/35.87 (step @p427 :rule trans :premises (@p426 @p264)) % 35.58/35.87 (step @p428 :rule cong :premises (@p427 @p425) :args (@t55)) % 35.58/35.87 (step @p429 :rule trans :premises (@p428 @p52 @p407)) % 35.58/35.87 (step @p430 :rule cong :premises (@p80 @p429) :args (@t166)) % 35.58/35.87 (step @p431 :rule symm :premises (@p58)) % 35.58/35.87 (step @p432 :rule symm :premises (@p428)) % 35.58/35.87 (step @p433 :rule cong :premises (@p432 @p80) :args (@t168)) % 35.58/35.87 (step @p434 :rule trans :premises (@p433 @p431 @p430 @p397)) % 35.58/35.87 (step @p435 :rule cong :premises (@p434 @p396) :args ((tptp.join @t168 @t27))) % 35.58/35.87 (step @p436 :rule symm :premises (@p366)) % 35.58/35.87 (step @p437 :rule symm :premises (@p409)) % 35.58/35.87 (step @p438 :rule trans :premises (@p437 @p114 @p112 @p111 @p94 @p436)) % 35.58/35.87 (step @p439 :rule symm :premises (@p434)) % 35.58/35.87 (step @p440 :rule cong :premises (@p439 @p438) :args (@t159)) % 35.58/35.87 (step @p441 :rule trans :premises (@p54 @p440 @p435 @p118 @p115)) % 35.58/35.87 (step-pop @p508 :rule scope :premises (@p441)) % 35.58/35.87 (step-pop @p509 :rule scope :premises (@p508)) % 35.58/35.87 (step-pop @p510 :rule scope :premises (@p509)) % 35.58/35.87 (step-pop @p511 :rule scope :premises (@p510)) % 35.58/35.87 (step-pop @p512 :rule scope :premises (@p511)) % 35.58/35.87 (step-pop @p513 :rule scope :premises (@p512)) % 35.58/35.87 (step-pop @p514 :rule scope :premises (@p513)) % 35.58/35.87 (step-pop @p515 :rule scope :premises (@p514)) % 35.58/35.87 (step-pop @p516 :rule scope :premises (@p515)) % 35.58/35.87 (step-pop @p517 :rule scope :premises (@p516)) % 35.58/35.87 (step-pop @p518 :rule scope :premises (@p517)) % 35.58/35.87 (step-pop @p519 :rule scope :premises (@p518)) % 35.58/35.87 (step-pop @p520 :rule scope :premises (@p519)) % 35.58/35.87 (step-pop @p521 :rule scope :premises (@p520)) % 35.58/35.87 (step-pop @p522 :rule scope :premises (@p521)) % 35.58/35.87 (step-pop @p523 :rule scope :premises (@p522)) % 35.58/35.87 (step-pop @p524 :rule scope :premises (@p523)) % 35.58/35.87 (step-pop @p525 :rule scope :premises (@p524)) % 35.58/35.87 (step-pop @p526 :rule scope :premises (@p525)) % 35.58/35.87 (step-pop @p527 :rule scope :premises (@p526)) % 35.58/35.87 (step-pop @p528 :rule scope :premises (@p527)) % 35.58/35.87 (step-pop @p529 :rule scope :premises (@p528)) % 35.58/35.87 (step-pop @p530 :rule scope :premises (@p529)) % 35.58/35.87 (step-pop @p531 :rule scope :premises (@p530)) % 35.58/35.87 (step-pop @p532 :rule scope :premises (@p531)) % 35.58/35.87 (step-pop @p533 :rule scope :premises (@p532)) % 35.58/35.87 (step-pop @p534 :rule scope :premises (@p533)) % 35.58/35.87 (step-pop @p535 :rule scope :premises (@p534)) % 35.58/35.87 (step-pop @p536 :rule scope :premises (@p535)) % 35.58/35.87 (step @p442 :rule process_scope :premises (@p536) :args (@t169)) % 35.58/35.87 (step @p472 :rule implies_elim :premises (@p442)) % 35.58/35.87 (step @p473 :rule cnf_and_neg :args (@t170)) % 35.58/35.87 (step @p474 :rule resolution :premises (@p473 @p472) :args (true @t170)) % 35.58/35.87 (step @p475 :rule reordering :premises (@p474) :args ((or @t169 (not @t129) (not @t130) (not @t131) (not @t133) (not @t134) (not @t135) (not @t136) (not @t137) (not @t138) (not @t140) (not @t142) (not @t143) (not @t144) (not @t145) (not @t147) (not @t148) (not @t150) (not @t151) (not @t152) (not @t153) (not @t154) (not @t157) (not @t158) (not @t160) (not @t163) (not @t164) (not @t165) (not @t64) (not @t167)))) % 35.58/35.87 (step @p476 false :rule chain_m_resolution :premises (@p475 @p366 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p36 @p35 @p31 @p30 @p26 @p25 @p24 @p20 @p16 @p15) :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 true false) (@list @t64 @t167 @t165 @t164 @t163 @t160 @t158 @t157 @t154 @t153 @t152 @t151 @t150 @t148 @t147 @t145 @t144 @t143 @t142 @t140 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t130 @t169 @t129))) % 35.58/35.87 ) % 35.58/35.88 % SZS output end Proof % 35.58/35.88 % cvc5 exiting %------------------------------------------------------------------------------