%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL109-10 : TPTP v9.3.1. 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 : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:22:10 AM UTC 2026 % Result : Unsatisfiable 9.12s 9.44s % Output : Proof 9.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL109-10 : TPTP v9.3.1. Released v7.5.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n004.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 5 22:09:59 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.09/0.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 9.12/9.44 % SZS status Unsatisfiable % 9.12/9.44 % SZS output start Proof % 9.12/9.45 ( % 9.12/9.45 (declare-sort $$unsorted 0) % 9.12/9.45 (declare-const tptp.a $$unsorted) % 9.12/9.45 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 9.12/9.45 (declare-const tptp.b $$unsorted) % 9.12/9.45 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 9.12/9.45 (declare-const tptp.truth $$unsorted) % 9.12/9.45 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 9.12/9.45 (define @t1 () (@var "B" $$unsorted)) % 9.12/9.45 (define @t2 () (@var "C" $$unsorted)) % 9.12/9.45 (define @t3 () (@var "A" $$unsorted)) % 9.12/9.45 (define @t4 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 9.12/9.45 (define @t5 () (forall (@list @t3 @t1 @t2) (= @t4 @t1))) % 9.12/9.45 (define @t6 () (@var "X" $$unsorted)) % 9.12/9.45 (define @t7 () (tptp.implies tptp.truth @t6)) % 9.12/9.45 (define @t8 () (@list @t6)) % 9.12/9.45 (define @t9 () (forall @t8 (= @t7 @t6))) % 9.12/9.45 (define @t10 () (@var "Z" $$unsorted)) % 9.12/9.45 (define @t11 () (tptp.implies @t6 @t10)) % 9.12/9.45 (define @t12 () (@var "Y" $$unsorted)) % 9.12/9.45 (define @t13 () (tptp.implies @t12 @t10)) % 9.12/9.45 (define @t14 () (tptp.implies @t6 @t12)) % 9.12/9.45 (define @t15 () (tptp.implies @t14 (tptp.implies @t13 @t11))) % 9.12/9.45 (define @t16 () (@list @t6 @t12 @t10)) % 9.12/9.45 (define @t17 () (forall @t16 (= @t15 tptp.truth))) % 9.12/9.45 (define @t18 () (tptp.implies @t12 @t6)) % 9.12/9.45 (define @t19 () (@list @t6 @t12)) % 9.12/9.45 (define @t20 () (forall @t19 (= (tptp.implies @t14 @t12) (tptp.implies @t18 @t6)))) % 9.12/9.45 (define @t21 () (tptp.not @t6)) % 9.12/9.45 (define @t22 () (tptp.implies @t21 (tptp.not @t12))) % 9.12/9.45 (define @t23 () (tptp.implies @t6 @t6)) % 9.12/9.45 (define @t24 () (forall @t8 (= @t23 tptp.truth))) % 9.12/9.45 (define @t25 () (tptp.ifeq @t14 @t18 @t6 @t12)) % 9.12/9.45 (define @t26 () (forall @t19 (= @t25 @t12))) % 9.12/9.45 (define @t27 () (tptp.implies @t6 @t18)) % 9.12/9.45 (define @t28 () (forall @t19 (= @t27 tptp.truth))) % 9.12/9.45 (define @t29 () (tptp.implies @t14 (tptp.implies (tptp.implies @t10 @t6) (tptp.implies @t10 @t12)))) % 9.12/9.45 (define @t30 () (forall @t16 (= @t29 tptp.truth))) % 9.12/9.45 (define @t31 () (forall @t16 (= (tptp.implies @t6 @t13) (tptp.implies @t12 @t11)))) % 9.12/9.45 (define @t32 () (tptp.implies tptp.b tptp.a)) % 9.12/9.45 (define @t33 () (tptp.implies tptp.a tptp.b)) % 9.12/9.45 (define @t34 () (tptp.implies @t33 @t32)) % 9.12/9.45 (define @t35 () (tptp.implies @t34 @t32)) % 9.12/9.45 (define @t36 () (@list @t33 @t32)) % 9.12/9.45 (define @t37 () (@list tptp.b tptp.a)) % 9.12/9.45 (define @t38 () (@list tptp.a @t34)) % 9.12/9.45 (define @t39 () (tptp.implies @t33 tptp.a)) % 9.12/9.45 (define @t40 () (tptp.implies @t32 @t33)) % 9.12/9.45 (define @t41 () (@list tptp.b)) % 9.12/9.45 (define @t42 () (@list tptp.a)) % 9.12/9.45 (define @t43 () (tptp.implies @t34 tptp.a)) % 9.12/9.45 (define @t44 () (@list tptp.a @t32)) % 9.12/9.45 (define @t45 () (@list tptp.b @t43)) % 9.12/9.45 (define @t46 () (tptp.implies tptp.b @t39)) % 9.12/9.45 (define @t47 () (tptp.implies @t32 @t46)) % 9.12/9.45 (define @t48 () (tptp.implies tptp.a @t34)) % 9.12/9.45 (define @t49 () (tptp.implies @t48 @t34)) % 9.12/9.45 (define @t50 () (tptp.implies @t43 tptp.a)) % 9.12/9.45 (define @t51 () (= @t49 @t50)) % 9.12/9.45 (define @t52 () (= @t50 @t49)) % 9.12/9.45 (define @t53 () (@list false)) % 9.12/9.45 (define @t54 () (tptp.implies @t40 tptp.b)) % 9.12/9.45 (define @t55 () (@list tptp.a @t54)) % 9.12/9.45 (define @t56 () (tptp.implies tptp.b @t43)) % 9.12/9.45 (define @t57 () (tptp.implies @t32 tptp.a)) % 9.12/9.45 (define @t58 () (tptp.implies @t56 tptp.a)) % 9.12/9.45 (define @t59 () (tptp.implies @t35 tptp.a)) % 9.12/9.45 (define @t60 () (tptp.implies @t57 tptp.a)) % 9.12/9.45 (define @t61 () (tptp.implies @t34 @t60)) % 9.12/9.45 (define @t62 () (tptp.implies @t57 @t43)) % 9.12/9.45 (define @t63 () (= @t61 @t62)) % 9.12/9.45 (define @t64 () (@list @t34 @t57 tptp.a)) % 9.12/9.45 (define @t65 () (= @t62 @t61)) % 9.12/9.45 (define @t66 () (tptp.implies @t33 tptp.b)) % 9.12/9.45 (define @t67 () (tptp.implies tptp.a tptp.a)) % 9.12/9.45 (define @t68 () (tptp.implies tptp.b tptp.b)) % 9.12/9.45 (define @t69 () (tptp.implies @t43 tptp.b)) % 9.12/9.45 (define @t70 () (tptp.implies @t58 tptp.b)) % 9.12/9.45 (define @t71 () (tptp.implies @t54 tptp.a)) % 9.12/9.45 (define @t72 () (tptp.implies @t50 @t59)) % 9.12/9.45 (define @t73 () (tptp.implies tptp.a @t39)) % 9.12/9.45 (define @t74 () (tptp.implies @t54 @t43)) % 9.12/9.45 (define @t75 () (tptp.implies @t40 @t33)) % 9.12/9.45 (define @t76 () (= @t35 @t75)) % 9.12/9.45 (define @t77 () (tptp.implies tptp.b @t33)) % 9.12/9.45 (define @t78 () (= tptp.truth @t77)) % 9.12/9.45 (define @t79 () (tptp.implies tptp.a @t32)) % 9.12/9.45 (define @t80 () (= tptp.truth @t79)) % 9.12/9.45 (define @t81 () (tptp.implies @t32 @t34)) % 9.12/9.45 (define @t82 () (= tptp.truth @t81)) % 9.12/9.45 (define @t83 () (= @t34 @t46)) % 9.12/9.45 (define @t84 () (= @t35 @t56)) % 9.12/9.45 (define @t85 () (= tptp.truth (tptp.implies @t33 @t77))) % 9.12/9.45 (define @t86 () (tptp.implies @t33 @t40)) % 9.12/9.45 (define @t87 () (= tptp.truth @t86)) % 9.12/9.45 (define @t88 () (= tptp.truth @t73)) % 9.12/9.45 (define @t89 () (tptp.implies tptp.a @t43)) % 9.12/9.45 (define @t90 () (= tptp.truth @t89)) % 9.12/9.45 (define @t91 () (tptp.implies @t73 @t47)) % 9.12/9.45 (define @t92 () (= tptp.truth @t91)) % 9.12/9.45 (define @t93 () (tptp.implies tptp.a @t54)) % 9.12/9.45 (define @t94 () (= @t75 @t93)) % 9.12/9.45 (define @t95 () (= @t57 @t66)) % 9.12/9.45 (define @t96 () (tptp.implies @t81 @t34)) % 9.12/9.45 (define @t97 () (tptp.implies @t35 @t32)) % 9.12/9.45 (define @t98 () (= @t97 @t96)) % 9.12/9.45 (define @t99 () (= tptp.truth @t68)) % 9.12/9.45 (define @t100 () (= tptp.truth @t67)) % 9.12/9.45 (define @t101 () (tptp.implies @t43 @t89)) % 9.12/9.45 (define @t102 () (= tptp.truth @t101)) % 9.12/9.45 (define @t103 () (tptp.implies tptp.a @t57)) % 9.12/9.45 (define @t104 () (= tptp.truth @t103)) % 9.12/9.45 (define @t105 () (= tptp.truth (tptp.implies @t32 @t97))) % 9.12/9.45 (define @t106 () (tptp.implies tptp.b @t69)) % 9.12/9.45 (define @t107 () (= tptp.truth @t106)) % 9.12/9.45 (define @t108 () (tptp.implies tptp.b @t59)) % 9.12/9.45 (define @t109 () (= @t97 @t108)) % 9.12/9.45 (define @t110 () (tptp.implies @t33 @t79)) % 9.12/9.45 (define @t111 () (= @t48 @t110)) % 9.12/9.45 (define @t112 () (tptp.implies tptp.truth tptp.a)) % 9.12/9.45 (define @t113 () (= tptp.a @t112)) % 9.12/9.45 (define @t114 () (tptp.implies tptp.truth tptp.b)) % 9.12/9.45 (define @t115 () (= tptp.b @t114)) % 9.12/9.45 (define @t116 () (= @t32 (tptp.implies tptp.truth @t32))) % 9.12/9.45 (define @t117 () (= @t33 (tptp.implies tptp.truth @t33))) % 9.12/9.45 (define @t118 () (= @t34 (tptp.implies tptp.truth @t34))) % 9.12/9.45 (define @t119 () (tptp.implies @t47 @t43)) % 9.12/9.45 (define @t120 () (tptp.implies @t119 @t43)) % 9.12/9.45 (define @t121 () (= (tptp.implies (tptp.implies @t43 @t47) @t47) @t120)) % 9.12/9.45 (define @t122 () (tptp.implies @t79 @t32)) % 9.12/9.45 (define @t123 () (= @t122 @t60)) % 9.12/9.45 (define @t124 () (tptp.implies @t66 tptp.b)) % 9.12/9.45 (define @t125 () (tptp.implies @t77 @t33)) % 9.12/9.45 (define @t126 () (= @t125 @t124)) % 9.12/9.45 (define @t127 () (tptp.implies @t86 @t40)) % 9.12/9.45 (define @t128 () (= (tptp.implies @t75 @t33) @t127)) % 9.12/9.45 (define @t129 () (tptp.implies @t69 tptp.b)) % 9.12/9.45 (define @t130 () (tptp.implies @t56 @t43)) % 9.12/9.45 (define @t131 () (= @t130 @t129)) % 9.12/9.45 (define @t132 () (tptp.implies tptp.a @t71)) % 9.12/9.45 (define @t133 () (= tptp.truth @t132)) % 9.12/9.45 (define @t134 () (tptp.implies @t34 @t58)) % 9.12/9.45 (define @t135 () (= @t130 @t134)) % 9.12/9.45 (define @t136 () (= @t40 (tptp.implies tptp.truth @t40))) % 9.12/9.45 (define @t137 () (= @t43 (tptp.implies tptp.truth @t43))) % 9.12/9.45 (define @t138 () (tptp.implies @t60 tptp.a)) % 9.12/9.45 (define @t139 () (= @t138 (tptp.implies @t103 @t57))) % 9.12/9.45 (define @t140 () (tptp.implies @t71 tptp.a)) % 9.12/9.45 (define @t141 () (tptp.implies @t93 @t54)) % 9.12/9.45 (define @t142 () (= @t141 @t140)) % 9.12/9.45 (define @t143 () (tptp.implies @t70 tptp.b)) % 9.12/9.45 (define @t144 () (= (tptp.implies (tptp.implies tptp.b @t58) @t58) @t143)) % 9.12/9.45 (define @t145 () (tptp.implies @t43 @t54)) % 9.12/9.45 (define @t146 () (= @t54 (tptp.ifeq @t145 @t74 @t43 @t54))) % 9.12/9.45 (define @t147 () (tptp.implies @t59 tptp.b)) % 9.12/9.45 (define @t148 () (= tptp.truth (tptp.implies tptp.b @t147))) % 9.12/9.45 (define @t149 () (tptp.implies @t66 @t54)) % 9.12/9.45 (define @t150 () (= (tptp.implies @t40 @t124) @t149)) % 9.12/9.45 (define @t151 () (tptp.implies @t67 @t69)) % 9.12/9.45 (define @t152 () (tptp.implies @t67 tptp.b)) % 9.12/9.45 (define @t153 () (= (tptp.implies @t43 @t152) @t151)) % 9.12/9.45 (define @t154 () (tptp.implies @t68 @t71)) % 9.12/9.45 (define @t155 () (= (tptp.implies @t54 (tptp.implies @t68 tptp.a)) @t154)) % 9.12/9.45 (define @t156 () (tptp.implies @t69 @t152)) % 9.12/9.45 (define @t157 () (= @t156 (tptp.implies @t67 @t129))) % 9.12/9.45 (define @t158 () (tptp.implies @t59 @t152)) % 9.12/9.45 (define @t159 () (= @t158 (tptp.implies @t67 @t147))) % 9.12/9.45 (define @t160 () (tptp.implies @t40 @t69)) % 9.12/9.45 (define @t161 () (= @t145 @t160)) % 9.12/9.45 (define @t162 () (= tptp.truth (tptp.implies (tptp.implies @t70 @t40) (tptp.implies @t54 @t143)))) % 9.12/9.45 (define @t163 () (tptp.implies @t43 @t57)) % 9.12/9.45 (define @t164 () (tptp.implies @t163 @t57)) % 9.12/9.45 (define @t165 () (= (tptp.implies @t62 @t43) @t164)) % 9.12/9.45 (define @t166 () (tptp.implies @t54 @t66)) % 9.12/9.45 (define @t167 () (tptp.implies @t166 @t66)) % 9.12/9.45 (define @t168 () (= (tptp.implies @t149 @t54) @t167)) % 9.12/9.45 (define @t169 () (tptp.implies tptp.b @t70)) % 9.12/9.45 (define @t170 () (tptp.implies @t169 @t70)) % 9.12/9.45 (define @t171 () (= (tptp.implies @t143 tptp.b) @t170)) % 9.12/9.45 (define @t172 () (tptp.implies @t129 tptp.b)) % 9.12/9.45 (define @t173 () (= (tptp.implies @t106 @t69) @t172)) % 9.12/9.45 (define @t174 () (tptp.implies @t140 tptp.a)) % 9.12/9.45 (define @t175 () (= (tptp.implies @t132 @t71) @t174)) % 9.12/9.45 (define @t176 () (tptp.implies @t57 tptp.b)) % 9.12/9.45 (define @t177 () (tptp.implies @t62 @t176)) % 9.12/9.45 (define @t178 () (tptp.implies @t69 @t177)) % 9.12/9.45 (define @t179 () (= tptp.truth @t178)) % 9.12/9.45 (define @t180 () (tptp.implies @t32 @t50)) % 9.12/9.45 (define @t181 () (= @t163 @t180)) % 9.12/9.45 (define @t182 () (tptp.implies @t34 @t71)) % 9.12/9.45 (define @t183 () (= @t74 @t182)) % 9.12/9.45 (define @t184 () (tptp.implies @t54 @t72)) % 9.12/9.45 (define @t185 () (tptp.implies @t73 @t184)) % 9.12/9.45 (define @t186 () (tptp.implies @t73 @t72)) % 9.12/9.45 (define @t187 () (= (tptp.implies @t54 @t186) @t185)) % 9.12/9.45 (define @t188 () (tptp.ifeq @t74 @t74 @t43 @t54)) % 9.12/9.45 (define @t189 () (= @t43 @t188)) % 9.12/9.45 (define @t190 () (tptp.implies @t72 tptp.b)) % 9.12/9.45 (define @t191 () (tptp.implies @t86 @t69)) % 9.12/9.45 (define @t192 () (tptp.implies @t46 tptp.a)) % 9.12/9.45 (define @t193 () (= tptp.truth @t35)) % 9.12/9.45 (define @t194 () (and @t76 @t78 @t80 @t82 @t83 @t84 @t85 @t87 @t88 @t90 @t92 @t94 @t95 @t98 @t99 @t100 @t102 @t104 @t105 @t107 @t109 @t111 @t113 @t115 @t116 @t117 @t118 @t121 @t52 @t123 @t126 @t128 @t131 @t133 @t135 @t136 @t137 @t139 @t142 @t144 @t146 @t148 @t65 @t150 @t153 @t155 @t157 @t159 @t161 @t162 @t165 @t168 @t171 @t173 @t175 @t179 @t181 @t183 @t187 @t189)) % 9.12/9.45 (assume @p1 @t5) % 9.12/9.45 (assume @p2 @t9) % 9.12/9.45 (assume @p3 @t17) % 9.12/9.45 (assume @p4 @t20) % 9.12/9.45 (assume @p5 (forall @t19 (= (tptp.implies @t22 @t18) tptp.truth))) % 9.12/9.45 (assume @p6 @t24) % 9.12/9.45 (assume @p7 @t26) % 9.12/9.45 (assume @p8 (forall @t8 (= (tptp.implies @t6 tptp.truth) tptp.truth))) % 9.12/9.45 (assume @p9 @t28) % 9.12/9.45 (assume @p10 (forall @t16 (= (tptp.ifeq @t14 @t13 @t11 tptp.truth) tptp.truth))) % 9.12/9.45 (assume @p11 @t30) % 9.12/9.45 (assume @p12 @t31) % 9.12/9.45 (assume @p13 (forall @t8 (= (tptp.implies @t6 (tptp.not tptp.truth)) @t21))) % 9.12/9.45 (assume @p14 (forall @t8 (= (tptp.not @t21) @t6))) % 9.12/9.45 (assume @p15 (forall @t19 (= @t22 @t18))) % 9.12/9.45 (assume @p16 (not (= @t35 tptp.truth))) % 9.12/9.45 (step @p17 :rule symm :premises (@p16)) % 9.12/9.45 (step @p18 :rule instantiate :premises (@p4) :args (@t36)) % 9.12/9.45 (step @p19 :rule eq-symm :args (@t27 tptp.truth)) % 9.12/9.45 (step @p20 :rule cong :premises (@p19) :args (@t28)) % 9.12/9.45 (step @p21 :rule eq_resolve :premises (@p9 @p20)) % 9.12/9.45 (step @p22 :rule instantiate :premises (@p21) :args (@t37)) % 9.12/9.45 (step @p23 :rule instantiate :premises (@p21) :args ((@list tptp.a tptp.b))) % 9.12/9.45 (step @p24 :rule instantiate :premises (@p21) :args ((@list @t32 @t33))) % 9.12/9.45 (step @p25 :rule instantiate :premises (@p12) :args ((@list @t33 tptp.b tptp.a))) % 9.12/9.45 (step @p26 :rule instantiate :premises (@p12) :args ((@list @t34 tptp.b tptp.a))) % 9.12/9.45 (step @p27 :rule instantiate :premises (@p21) :args ((@list @t33 tptp.b))) % 9.12/9.45 (step @p28 :rule instantiate :premises (@p21) :args (@t36)) % 9.12/9.45 (step @p29 :rule instantiate :premises (@p21) :args ((@list tptp.a @t33))) % 9.12/9.45 (step @p30 :rule instantiate :premises (@p21) :args (@t38)) % 9.12/9.45 (step @p31 :rule eq-symm :args (@t29 tptp.truth)) % 9.12/9.45 (step @p32 :rule cong :premises (@p31) :args (@t30)) % 9.12/9.45 (step @p33 :rule eq_resolve :premises (@p11 @p32)) % 9.12/9.45 (step @p34 :rule instantiate :premises (@p33) :args ((@list tptp.a @t39 tptp.b))) % 9.12/9.45 (step @p35 :rule instantiate :premises (@p12) :args ((@list @t40 tptp.a tptp.b))) % 9.12/9.45 (step @p36 :rule instantiate :premises (@p4) :args (@t37)) % 9.12/9.45 (step @p37 :rule instantiate :premises (@p4) :args ((@list @t34 @t32))) % 9.12/9.45 (step @p38 :rule eq-symm :args (@t23 tptp.truth)) % 9.12/9.45 (step @p39 :rule cong :premises (@p38) :args (@t24)) % 9.12/9.45 (step @p40 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@p68 :rule instantiate :premises (@p4) :args (@t44)) % 9.12/9.45 (step @p69 :rule instantiate :premises (@p4) :args ((@list tptp.b @t33))) % 9.12/9.45 (step @p70 :rule instantiate :premises (@p4) :args ((@list @t40 @t33))) % 9.12/9.45 (step @p71 :rule instantiate :premises (@p4) :args (@t45)) % 9.12/9.45 (step @p72 :rule instantiate :premises (@p21) :args (@t55)) % 9.12/9.45 (step @p73 :rule instantiate :premises (@p12) :args ((@list @t56 @t34 tptp.a))) % 9.12/9.45 (step @p74 :rule instantiate :premises (@p51) :args ((@list @t40))) % 9.12/9.45 (step @p75 :rule instantiate :premises (@p51) :args ((@list @t43))) % 9.12/9.45 (step @p76 :rule instantiate :premises (@p4) :args ((@list @t57 tptp.a))) % 9.12/9.45 (step @p77 :rule instantiate :premises (@p4) :args (@t55)) % 9.12/9.45 (step @p78 :rule instantiate :premises (@p4) :args ((@list tptp.b @t58))) % 9.12/9.45 (step @p79 :rule eq-symm :args (@t25 @t12)) % 9.12/9.45 (step @p80 :rule cong :premises (@p79) :args (@t26)) % 9.12/9.45 (step 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@p443 @t84) % 9.12/9.46 (assume-push @p444 @t85) % 9.12/9.46 (assume-push @p445 @t87) % 9.12/9.46 (assume-push @p446 @t88) % 9.12/9.46 (assume-push @p447 @t90) % 9.12/9.46 (assume-push @p448 @t92) % 9.12/9.46 (assume-push @p449 @t94) % 9.12/9.46 (assume-push @p450 @t95) % 9.12/9.46 (assume-push @p451 @t98) % 9.12/9.46 (assume-push @p452 @t99) % 9.12/9.46 (assume-push @p453 @t100) % 9.12/9.46 (assume-push @p454 @t102) % 9.12/9.46 (assume-push @p455 @t104) % 9.12/9.46 (assume-push @p456 @t105) % 9.12/9.46 (assume-push @p457 @t107) % 9.12/9.46 (assume-push @p458 @t109) % 9.12/9.46 (assume-push @p459 @t111) % 9.12/9.46 (assume-push @p460 @t113) % 9.12/9.46 (assume-push @p461 @t115) % 9.12/9.46 (assume-push @p462 @t116) % 9.12/9.46 (assume-push @p463 @t117) % 9.12/9.46 (assume-push @p464 @t118) % 9.12/9.46 (assume-push @p465 @t121) % 9.12/9.46 (assume-push @p466 @t52) % 9.12/9.46 (assume-push @p467 @t123) % 9.12/9.46 (assume-push @p468 @t126) % 9.12/9.46 (assume-push @p469 @t128) % 9.12/9.46 (assume-push @p470 @t131) % 9.12/9.46 (assume-push @p471 @t133) % 9.12/9.46 (assume-push @p472 @t135) % 9.12/9.46 (assume-push @p473 @t136) % 9.12/9.46 (assume-push @p474 @t137) % 9.12/9.46 (assume-push @p475 @t139) % 9.12/9.46 (assume-push @p476 @t142) % 9.12/9.46 (assume-push @p477 @t144) % 9.12/9.46 (assume-push @p478 @t146) % 9.12/9.46 (assume-push @p479 @t148) % 9.12/9.46 (assume-push @p480 @t65) % 9.12/9.46 (assume-push @p481 @t150) % 9.12/9.46 (assume-push @p482 @t153) % 9.12/9.46 (assume-push @p483 @t155) % 9.12/9.46 (assume-push @p484 @t157) % 9.12/9.46 (assume-push @p485 @t159) % 9.12/9.46 (assume-push @p486 @t161) % 9.12/9.46 (assume-push @p487 @t162) % 9.12/9.46 (assume-push @p488 @t165) % 9.12/9.46 (assume-push @p489 @t168) % 9.12/9.46 (assume-push @p490 @t171) % 9.12/9.46 (assume-push @p491 @t173) % 9.12/9.46 (assume-push @p492 @t175) % 9.12/9.46 (assume-push @p493 @t179) % 9.12/9.46 (assume-push @p494 @t181) % 9.12/9.46 (assume-push @p495 @t183) % 9.12/9.46 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@p209 :rule trans :premises (@p208 @p41)) % 9.12/9.46 (step @p210 :rule cong :premises (@p209 @p193) :args (@t164)) % 9.12/9.46 (step @p211 :rule refl :args (@t43)) % 9.12/9.46 (step @p88 :rule instantiate :premises (@p12) :args (@t64)) % 9.12/9.46 (step @p212 :rule symm :premises (@p190)) % 9.12/9.46 (step @p213 :rule cong :premises (@p199 @p212) :args (@t35)) % 9.12/9.46 (step @p214 :rule trans :premises (@p213 @p88)) % 9.12/9.46 (step @p215 :rule symm :premises (@p26)) % 9.12/9.46 (step @p216 :rule trans :premises (@p215 @p214)) % 9.12/9.46 (step @p217 :rule cong :premises (@p216 @p211) :args (@t130)) % 9.12/9.46 (step @p218 :rule cong :premises (@p26 @p211) :args ((tptp.implies @t35 @t43))) % 9.12/9.46 (step @p219 :rule trans :premises (@p218 @p217 @p104 @p210 @p196 @p192 @p191)) % 9.12/9.46 (step @p220 :rule symm :premises (@p218)) % 9.12/9.46 (step @p221 :rule symm :premises (@p73)) % 9.12/9.46 (step @p222 :rule cong :premises (@p26 @p184) :args (@t59)) % 9.12/9.46 (step @p223 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@p270 :rule trans :premises (@p18 @p269 @p268 @p267)) % 9.12/9.46 (step @p271 :rule symm :premises (@p256)) % 9.12/9.46 (step @p272 :rule cong :premises (@p237 @p271) :args (@t156)) % 9.12/9.46 (step @p273 :rule symm :premises (@p97)) % 9.12/9.46 (step @p274 :rule symm :premises (@p235)) % 9.12/9.46 (step @p275 :rule symm :premises (@p29)) % 9.12/9.46 (step @p276 :rule trans :premises (@p275 @p42)) % 9.12/9.46 (step @p277 :rule cong :premises (@p276 @p274) :args (@t186)) % 9.12/9.46 (step @p278 :rule symm :premises (@p230)) % 9.12/9.46 (step @p279 :rule symm :premises (@p103)) % 9.12/9.46 (step @p280 :rule refl :args (@t58)) % 9.12/9.46 (step @p281 :rule cong :premises (@p183 @p222) :args (@t108)) % 9.12/9.46 (step @p282 :rule trans :premises (@p47 @p281)) % 9.12/9.46 (step @p283 :rule symm :premises (@p226)) % 9.12/9.46 (step @p284 :rule trans :premises (@p283 @p282)) % 9.12/9.46 (step @p285 :rule cong :premises (@p284 @p280) :args (@t134)) % 9.12/9.46 (step @p286 :rule trans :premises (@p228 @p285 @p78)) % 9.12/9.46 (step @p287 :rule cong :premises (@p261 @p286) :args (@t184)) % 9.12/9.46 (step @p288 :rule cong :premises (@p222 @p183) :args (@t147)) % 9.12/9.46 (step @p289 :rule refl :args (@t59)) % 9.12/9.46 (step @p290 :rule cong :premises (@p289 @p271) :args (@t158)) % 9.12/9.46 (step @p291 :rule symm :premises (@p98)) % 9.12/9.46 (step @p292 :rule symm :premises (@p288)) % 9.12/9.46 (step @p293 :rule symm :premises (@p83)) % 9.12/9.46 (step @p294 :rule cong :premises (@p183 @p292) :args (@t169)) % 9.12/9.46 (step @p295 :rule trans :premises (@p294 @p293)) % 9.12/9.46 (step @p296 :rule trans :premises (@p295 @p42)) % 9.12/9.46 (step @p297 :rule cong :premises (@p296 @p292) :args (@t170)) % 9.12/9.46 (step @p298 :rule cong :premises (@p286 @p183) :args (@t190)) % 9.12/9.46 (step @p299 :rule trans :premises (@p257 @p95 @p254 @p107 @p236 @p298 @p106 @p297 @p291 @p290 @p288)) % 9.12/9.46 (step @p300 :rule cong :premises (@p299 @p243) :args ((tptp.implies @t69 @t40))) % 9.12/9.46 (step @p301 :rule cong :premises (@p36 @p183) :args (@t176)) % 9.12/9.46 (step @p302 :rule trans :premises (@p301 @p182 @p181 @p178)) % 9.12/9.46 (step @p303 :rule symm :premises (@p214)) % 9.12/9.46 (step @p304 :rule trans :premises (@p303 @p18)) % 9.12/9.46 (step @p305 :rule cong :premises (@p304 @p302) :args (@t177)) % 9.12/9.46 (step @p306 :rule trans :premises (@p305 @p70 @p244 @p242)) % 9.12/9.46 (step @p307 :rule cong :premises (@p237 @p306) :args (@t178)) % 9.12/9.46 (step @p308 :rule trans :premises (@p109 @p307 @p300)) % 9.12/9.46 (step @p309 :rule trans :premises (@p275 @p308)) % 9.12/9.46 (step @p310 :rule cong :premises (@p309 @p287) :args (@t185)) % 9.12/9.46 (step @p311 :rule symm :premises (@p277)) % 9.12/9.46 (step @p312 :rule symm :premises (@p272)) % 9.12/9.46 (step @p313 :rule trans :premises (@p228 @p221 @p71 @p312 @p97 @p311)) % 9.12/9.46 (step @p314 :rule cong :premises (@p261 @p313) :args (@t184)) % 9.12/9.46 (step @p315 :rule cong 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@p266 @p211 @p261) :args (@t188)) % 9.12/9.46 (step @p345 :rule trans :premises (@p116 @p344 @p265)) % 9.12/9.46 (step @p346 :rule symm :premises (@p263)) % 9.12/9.46 (step @p347 :rule cong :premises (@p346 @p345) :args ((tptp.implies @t43 @t43))) % 9.12/9.46 (step @p348 :rule symm :premises (@p75)) % 9.12/9.46 (step @p349 :rule cong :premises (@p186 @p262) :args (@t47)) % 9.12/9.46 (step @p350 :rule trans :premises (@p349 @p224)) % 9.12/9.46 (step @p351 :rule cong :premises (@p350 @p211) :args (@t119)) % 9.12/9.46 (step @p352 :rule symm :premises (@p350)) % 9.12/9.46 (step @p353 :rule trans :premises (@p252 @p352)) % 9.12/9.46 (step @p354 :rule cong :premises (@p353 @p211) :args ((tptp.implies @t67 @t43))) % 9.12/9.46 (step @p355 :rule trans :premises (@p354 @p351 @p348)) % 9.12/9.46 (step @p356 :rule symm :premises (@p354)) % 9.12/9.46 (step @p357 :rule trans :premises (@p356 @p355)) % 9.12/9.46 (step @p358 :rule cong :premises (@p357 @p211) :args (@t120)) % 9.12/9.46 (step @p359 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(step-pop @p505 :rule scope :premises (@p504)) % 9.12/9.46 (step-pop @p506 :rule scope :premises (@p505)) % 9.12/9.46 (step-pop @p507 :rule scope :premises (@p506)) % 9.12/9.46 (step-pop @p508 :rule scope :premises (@p507)) % 9.12/9.46 (step-pop @p509 :rule scope :premises (@p508)) % 9.12/9.46 (step-pop @p510 :rule scope :premises (@p509)) % 9.12/9.46 (step-pop @p511 :rule scope :premises (@p510)) % 9.12/9.46 (step-pop @p512 :rule scope :premises (@p511)) % 9.12/9.46 (step-pop @p513 :rule scope :premises (@p512)) % 9.12/9.46 (step-pop @p514 :rule scope :premises (@p513)) % 9.12/9.46 (step-pop @p515 :rule scope :premises (@p514)) % 9.12/9.46 (step-pop @p516 :rule scope :premises (@p515)) % 9.12/9.46 (step-pop @p517 :rule scope :premises (@p516)) % 9.12/9.46 (step-pop @p518 :rule scope :premises (@p517)) % 9.12/9.46 (step-pop @p519 :rule scope :premises (@p518)) % 9.12/9.46 (step-pop @p520 :rule scope :premises (@p519)) % 9.12/9.46 (step-pop @p521 :rule scope :premises (@p520)) % 9.12/9.46 (step-pop @p522 :rule scope :premises (@p521)) % 9.12/9.46 (step-pop @p523 :rule scope :premises (@p522)) % 9.12/9.46 (step-pop @p524 :rule scope :premises (@p523)) % 9.12/9.46 (step-pop @p525 :rule scope :premises (@p524)) % 9.12/9.46 (step-pop @p526 :rule scope :premises (@p525)) % 9.12/9.46 (step-pop @p527 :rule scope :premises (@p526)) % 9.12/9.46 (step-pop @p528 :rule scope :premises (@p527)) % 9.12/9.46 (step-pop @p529 :rule scope :premises (@p528)) % 9.12/9.46 (step-pop @p530 :rule scope :premises (@p529)) % 9.12/9.46 (step-pop @p531 :rule scope :premises (@p530)) % 9.12/9.46 (step-pop @p532 :rule scope :premises (@p531)) % 9.12/9.46 (step-pop @p533 :rule scope :premises (@p532)) % 9.12/9.46 (step-pop @p534 :rule scope :premises (@p533)) % 9.12/9.46 (step-pop @p535 :rule scope :premises (@p534)) % 9.12/9.46 (step-pop @p536 :rule scope :premises (@p535)) % 9.12/9.46 (step-pop @p537 :rule scope :premises (@p536)) % 9.12/9.46 (step-pop @p538 :rule scope :premises (@p537)) % 9.12/9.46 (step-pop @p539 :rule scope :premises (@p538)) % 9.12/9.46 (step-pop @p540 :rule scope :premises (@p539)) % 9.12/9.46 (step-pop @p541 :rule scope :premises (@p540)) % 9.12/9.46 (step-pop @p542 :rule scope :premises (@p541)) % 9.12/9.46 (step-pop @p543 :rule scope :premises (@p542)) % 9.12/9.46 (step-pop @p544 :rule scope :premises (@p543)) % 9.12/9.46 (step-pop @p545 :rule scope :premises (@p544)) % 9.12/9.46 (step-pop @p546 :rule scope :premises (@p545)) % 9.12/9.46 (step-pop @p547 :rule scope :premises (@p546)) % 9.12/9.46 (step-pop @p548 :rule scope :premises (@p547)) % 9.12/9.46 (step-pop @p549 :rule scope :premises (@p548)) % 9.12/9.46 (step-pop @p550 :rule scope :premises (@p549)) % 9.12/9.46 (step-pop @p551 :rule scope :premises (@p550)) % 9.12/9.46 (step-pop @p552 :rule scope :premises (@p551)) % 9.12/9.46 (step-pop @p553 :rule scope :premises (@p552)) % 9.12/9.46 (step-pop @p554 :rule scope :premises (@p553)) % 9.12/9.46 (step-pop @p555 :rule scope :premises (@p554)) % 9.12/9.46 (step-pop @p556 :rule scope :premises (@p555)) % 9.12/9.46 (step-pop @p557 :rule scope :premises (@p556)) % 9.12/9.46 (step @p368 :rule process_scope :premises (@p557) :args (@t193)) % 9.12/9.46 (step @p429 :rule implies_elim :premises (@p368)) % 9.12/9.46 (step @p430 :rule cnf_and_neg :args (@t194)) % 9.12/9.46 (step @p431 :rule resolution :premises (@p430 @p429) :args (true @t194)) % 9.12/9.46 (step @p432 :rule reordering :premises (@p431) :args ((or @t193 (not @t76) (not @t78) (not @t80) (not @t82) (not @t83) (not @t84) (not @t85) (not @t87) (not @t88) (not @t90) (not @t92) (not @t94) (not @t95) (not @t98) (not @t99) (not @t100) (not @t102) (not @t104) (not @t105) (not @t107) (not @t109) (not @t111) (not @t113) (not @t115) (not @t116) (not @t117) (not @t118) (not @t121) (not @t52) (not @t123) (not @t126) (not @t128) (not @t131) (not @t133) (not @t135) (not @t136) (not @t137) (not @t139) (not @t142) (not @t144) (not @t146) (not @t148) (not @t65) (not @t150) (not @t153) (not @t155) (not @t157) (not @t159) (not @t161) (not @t162) (not @t165) (not @t168) (not @t171) (not @t173) (not @t175) (not @t179) (not @t181) (not @t183) (not @t187) (not @t189)))) % 9.12/9.46 (step @p433 false :rule chain_m_resolution :premises (@p432 @p116 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p83 @p82 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p57 @p56 @p55 @p54 @p53 @p52 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p37 @p36 @p35 @p34 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p18 @p17) :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 false false false false false false false false false false false false false false false false false false false false true) (@list @t189 @t187 @t183 @t181 @t179 @t175 @t173 @t171 @t168 @t165 @t162 @t161 @t159 @t157 @t155 @t153 @t150 @t65 @t148 @t146 @t144 @t142 @t139 @t137 @t136 @t135 @t133 @t131 @t128 @t126 @t123 @t52 @t121 @t118 @t117 @t116 @t115 @t113 @t111 @t109 @t107 @t105 @t104 @t102 @t100 @t99 @t98 @t95 @t94 @t92 @t90 @t88 @t87 @t85 @t84 @t83 @t82 @t80 @t78 @t76 @t193))) % 9.12/9.46 ) % 9.12/9.47 % SZS output end Proof % 9.12/9.47 % cvc5 exiting %------------------------------------------------------------------------------