%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG077+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:45:36 AM UTC 2026 % Result : Theorem 0.84s 1.05s % Output : Proof 0.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG077+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.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 14:05:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.84/1.05 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.84/1.05 % SZS status Theorem % 0.84/1.05 % SZS output start Proof % 0.84/1.05 ( % 0.84/1.05 (declare-sort $$unsorted 0) % 0.84/1.05 (declare-const tptp.xN $$unsorted) % 0.84/1.05 (declare-const tptp.xS $$unsorted) % 0.84/1.05 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 0.84/1.05 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.84/1.05 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.84/1.05 (declare-const tptp.xq $$unsorted) % 0.84/1.05 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.05 (declare-const tptp.xp $$unsorted) % 0.84/1.05 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.05 (declare-const tptp.sz0z00 $$unsorted) % 0.84/1.05 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.84/1.05 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.84/1.05 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.05 (declare-const tptp.xB $$unsorted) % 0.84/1.05 (declare-const tptp.sz00 $$unsorted) % 0.84/1.05 (declare-const tptp.xA $$unsorted) % 0.84/1.05 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.84/1.05 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 0.84/1.05 (declare-const tptp.xt $$unsorted) % 0.84/1.05 (declare-const tptp.xs $$unsorted) % 0.84/1.05 (declare-const tptp.xG $$unsorted) % 0.84/1.05 (declare-const tptp.xC $$unsorted) % 0.84/1.05 (declare-const tptp.xD $$unsorted) % 0.84/1.05 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 0.84/1.05 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.84/1.05 (declare-const tptp.xE $$unsorted) % 0.84/1.05 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.05 (declare-const tptp.xF $$unsorted) % 0.84/1.05 (declare-const tptp.xH $$unsorted) % 0.84/1.05 (declare-const tptp.xR $$unsorted) % 0.84/1.05 (declare-const tptp.xP $$unsorted) % 0.84/1.05 (define @t1 () (@var "W0" $$unsorted)) % 0.84/1.05 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.84/1.05 (define @t3 () (@list @t1)) % 0.84/1.05 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.84/1.05 (define @t5 () (@var "W1" $$unsorted)) % 0.84/1.05 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.84/1.05 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.84/1.05 (define @t8 () (@list @t5)) % 0.84/1.05 (define @t9 () (= @t1 @t5)) % 0.84/1.05 (define @t10 () (and @t2 @t7)) % 0.84/1.05 (define @t11 () (@list @t1 @t5)) % 0.84/1.05 (define @t12 () (tptp.aScalar0 @t1)) % 0.84/1.05 (define @t13 () (tptp.aScalar0 tptp.sz0z00)) % 0.84/1.05 (define @t14 () (tptp.sdtpldt0 @t1 @t5)) % 0.84/1.05 (define @t15 () (tptp.aScalar0 @t5)) % 0.84/1.05 (define @t16 () (and @t12 @t15)) % 0.84/1.05 (define @t17 () (tptp.sdtasdt0 @t1 @t5)) % 0.84/1.05 (define @t18 () (tptp.aScalar0 @t17)) % 0.84/1.05 (define @t19 () (forall @t11 (=> @t16 @t18))) % 0.84/1.05 (define @t20 () (tptp.smndt0 @t1)) % 0.84/1.05 (define @t21 () (tptp.smndt0 tptp.sz0z00)) % 0.84/1.05 (define @t22 () (tptp.smndt0 @t20)) % 0.84/1.05 (define @t23 () (tptp.sdtpldt0 @t20 @t1)) % 0.84/1.05 (define @t24 () (tptp.sdtpldt0 @t1 @t20)) % 0.84/1.05 (define @t25 () (tptp.sdtasdt0 tptp.sz0z00 @t1)) % 0.84/1.05 (define @t26 () (tptp.sdtasdt0 @t1 tptp.sz0z00)) % 0.84/1.05 (define @t27 () (tptp.sdtpldt0 tptp.sz0z00 @t1)) % 0.84/1.05 (define @t28 () (tptp.sdtpldt0 @t1 tptp.sz0z00)) % 0.84/1.05 (define @t29 () (and (= @t28 @t1) (= @t27 @t1) (= @t26 tptp.sz0z00) (= @t25 tptp.sz0z00) (= @t24 tptp.sz0z00) (= @t23 tptp.sz0z00) (= @t22 @t1) (= @t21 tptp.sz0z00))) % 0.84/1.05 (define @t30 () (=> @t12 @t29)) % 0.84/1.05 (define @t31 () (forall @t3 @t30)) % 0.84/1.05 (define @t32 () (@var "W2" $$unsorted)) % 0.84/1.05 (define @t33 () (tptp.sdtasdt0 @t5 @t32)) % 0.84/1.05 (define @t34 () (tptp.sdtpldt0 @t5 @t32)) % 0.84/1.05 (define @t35 () (and (= (tptp.sdtpldt0 @t14 @t32) (tptp.sdtpldt0 @t1 @t34)) (= @t14 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t17 @t32) (tptp.sdtasdt0 @t1 @t33)) (= @t17 (tptp.sdtasdt0 @t5 @t1)))) % 0.84/1.05 (define @t36 () (tptp.aScalar0 @t32)) % 0.84/1.05 (define @t37 () (and @t12 @t15 @t36)) % 0.84/1.05 (define @t38 () (@list @t1 @t5 @t32)) % 0.84/1.05 (define @t39 () (forall @t38 (=> @t37 @t35))) % 0.84/1.05 (define @t40 () (tptp.sdtasdt0 @t1 @t32)) % 0.84/1.05 (define @t41 () (@var "W3" $$unsorted)) % 0.84/1.05 (define @t42 () (tptp.sdtasdt0 @t5 @t41)) % 0.84/1.05 (define @t43 () (and @t12 @t15 @t36 (tptp.aScalar0 @t41))) % 0.84/1.05 (define @t44 () (@list @t1 @t5 @t32 @t41)) % 0.84/1.05 (define @t45 () (tptp.smndt0 @t17)) % 0.84/1.05 (define @t46 () (tptp.smndt0 @t5)) % 0.84/1.05 (define @t47 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.84/1.05 (define @t48 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.84/1.05 (define @t49 () (tptp.sdtlseqdt0 @t32 @t41)) % 0.84/1.05 (define @t50 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 0.84/1.05 (define @t51 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 0.84/1.05 (define @t52 () (tptp.sdtasdt0 @t1 @t1)) % 0.84/1.05 (define @t53 () (tptp.aVector0 @t1)) % 0.84/1.05 (define @t54 () (tptp.aDimensionOf0 @t1)) % 0.84/1.05 (define @t55 () (tptp.aDimensionOf0 @t5)) % 0.84/1.05 (define @t56 () (tptp.aVector0 @t5)) % 0.84/1.05 (define @t57 () (tptp.sziznziztdt0 @t1)) % 0.84/1.05 (define @t58 () (tptp.sziznziztdt0 @t5)) % 0.84/1.05 (define @t59 () (= @t55 tptp.sz00)) % 0.84/1.05 (define @t60 () (= @t54 @t55)) % 0.84/1.05 (define @t61 () (and @t60 (not @t59))) % 0.84/1.05 (define @t62 () (and @t53 @t56)) % 0.84/1.05 (define @t63 () (tptp.sdtasasdt0 @t1 @t5)) % 0.84/1.05 (define @t64 () (tptp.sdtasasdt0 @t1 @t1)) % 0.84/1.05 (define @t65 () (tptp.aDimensionOf0 tptp.xs)) % 0.84/1.05 (define @t66 () (tptp.aDimensionOf0 tptp.xt)) % 0.84/1.05 (define @t67 () (tptp.aScalar0 tptp.xA)) % 0.84/1.05 (define @t68 () (tptp.aScalar0 tptp.xB)) % 0.84/1.05 (define @t69 () (tptp.aScalar0 tptp.xE)) % 0.84/1.05 (define @t70 () (tptp.sdtasdt0 tptp.xA tptp.xB)) % 0.84/1.05 (define @t71 () (= tptp.xH @t70)) % 0.84/1.05 (define @t72 () (tptp.aScalar0 tptp.xH)) % 0.84/1.05 (define @t73 () (tptp.sdtasdt0 tptp.xE tptp.xH)) % 0.84/1.05 (define @t74 () (= tptp.xP @t73)) % 0.84/1.05 (define @t75 () (tptp.aScalar0 tptp.xP)) % 0.84/1.05 (define @t76 () (tptp.sdtasdt0 tptp.xC tptp.xD)) % 0.84/1.05 (define @t77 () (tptp.sdtasdt0 tptp.xE tptp.xE)) % 0.84/1.05 (define @t78 () (tptp.sdtpldt0 tptp.xR tptp.xS)) % 0.84/1.05 (define @t79 () (tptp.sdtpldt0 tptp.xP tptp.xP)) % 0.84/1.05 (define @t80 () (tptp.sdtasdt0 tptp.xH tptp.xH)) % 0.84/1.05 (define @t81 () (tptp.sdtpldt0 @t79 @t80)) % 0.84/1.05 (define @t82 () (tptp.sdtasdt0 tptp.xH tptp.xE)) % 0.84/1.05 (define @t83 () (tptp.sdtpldt0 @t73 (tptp.sdtpldt0 @t82 @t80))) % 0.84/1.05 (define @t84 () (= @t81 @t83)) % 0.84/1.05 (define @t85 () (not @t36)) % 0.84/1.05 (define @t86 () (not @t15)) % 0.84/1.05 (define @t87 () (not @t12)) % 0.84/1.05 (define @t88 () (or @t87 @t86 @t85 @t35)) % 0.84/1.05 (define @t89 () (or @t87 @t86 @t85)) % 0.84/1.05 (define @t90 () (tptp.sdtasdt0 tptp.xB tptp.xE)) % 0.84/1.05 (define @t91 () (tptp.sdtasdt0 @t70 tptp.xE)) % 0.84/1.05 (define @t92 () (= @t91 (tptp.sdtasdt0 tptp.xA @t90))) % 0.84/1.05 (define @t93 () (tptp.sdtpldt0 tptp.xA tptp.xB)) % 0.84/1.05 (define @t94 () (tptp.sdtpldt0 tptp.xB tptp.xE)) % 0.84/1.05 (define @t95 () (and (= (tptp.sdtpldt0 @t93 tptp.xE) (tptp.sdtpldt0 tptp.xA @t94)) (= @t93 (tptp.sdtpldt0 tptp.xB tptp.xA)) @t92 (= @t70 (tptp.sdtasdt0 tptp.xB tptp.xA)))) % 0.84/1.05 (define @t96 () (not @t69)) % 0.84/1.05 (define @t97 () (not @t68)) % 0.84/1.05 (define @t98 () (not @t67)) % 0.84/1.05 (define @t99 () (or @t98 @t97 @t96 @t95)) % 0.84/1.05 (define @t100 () (@list false false false false)) % 0.84/1.05 (define @t101 () (@list false)) % 0.84/1.05 (define @t102 () (tptp.sdtasdt0 tptp.xA tptp.xE)) % 0.84/1.05 (define @t103 () (tptp.sdtasdt0 tptp.xE tptp.xA)) % 0.84/1.05 (define @t104 () (= @t103 @t102)) % 0.84/1.05 (define @t105 () (tptp.sdtasdt0 @t103 tptp.xB)) % 0.84/1.05 (define @t106 () (= @t105 (tptp.sdtasdt0 tptp.xE @t70))) % 0.84/1.05 (define @t107 () (tptp.sdtpldt0 tptp.xA tptp.xE)) % 0.84/1.05 (define @t108 () (tptp.sdtpldt0 tptp.xE tptp.xA)) % 0.84/1.05 (define @t109 () (= @t108 @t107)) % 0.84/1.05 (define @t110 () (and (= (tptp.sdtpldt0 @t108 tptp.xB) (tptp.sdtpldt0 tptp.xE @t93)) @t109 @t106 @t104)) % 0.84/1.05 (define @t111 () (or @t96 @t98 @t97 @t110)) % 0.84/1.05 (define @t112 () (not @t110)) % 0.84/1.05 (define @t113 () (@list @t110)) % 0.84/1.05 (define @t114 () (tptp.sdtasdt0 tptp.xP tptp.xP)) % 0.84/1.05 (define @t115 () (= (tptp.sdtasdt0 @t114 @t80) (tptp.sdtasdt0 tptp.xP (tptp.sdtasdt0 tptp.xP @t80)))) % 0.84/1.05 (define @t116 () (tptp.sdtpldt0 tptp.xP @t80)) % 0.84/1.05 (define @t117 () (tptp.sdtpldt0 tptp.xP @t116)) % 0.84/1.05 (define @t118 () (= @t81 @t117)) % 0.84/1.05 (define @t119 () (and @t118 @t115)) % 0.84/1.05 (define @t120 () (and @t118 (= @t79 @t79) @t115 (= @t114 @t114))) % 0.84/1.05 (define @t121 () (tptp.aScalar0 @t80)) % 0.84/1.05 (define @t122 () (not @t121)) % 0.84/1.05 (define @t123 () (not @t75)) % 0.84/1.05 (define @t124 () (or @t123 @t123 @t122 @t120)) % 0.84/1.05 (define @t125 () (forall @t38 @t88)) % 0.84/1.05 (define @t126 () (or @t123 @t123 @t122 @t119)) % 0.84/1.05 (define @t127 () (@list @t125)) % 0.84/1.05 (define @t128 () (not @t72)) % 0.84/1.05 (define @t129 () (or @t128 @t128 @t121)) % 0.84/1.05 (define @t130 () (@list false false)) % 0.84/1.05 (define @t131 () (@list false false false)) % 0.84/1.05 (define @t132 () (tptp.sdtasdt0 @t82 @t73)) % 0.84/1.05 (define @t133 () (tptp.sdtasdt0 @t73 @t82)) % 0.84/1.05 (define @t134 () (= @t133 @t132)) % 0.84/1.05 (define @t135 () (= (tptp.sdtasdt0 @t133 @t80) (tptp.sdtasdt0 @t73 (tptp.sdtasdt0 @t82 @t80)))) % 0.84/1.05 (define @t136 () (tptp.sdtpldt0 @t82 @t73)) % 0.84/1.05 (define @t137 () (tptp.sdtpldt0 @t73 @t82)) % 0.84/1.05 (define @t138 () (= @t137 @t136)) % 0.84/1.05 (define @t139 () (tptp.sdtpldt0 @t137 @t80)) % 0.84/1.05 (define @t140 () (and (= @t139 @t83) @t138 @t135 @t134)) % 0.84/1.05 (define @t141 () (tptp.aScalar0 @t82)) % 0.84/1.05 (define @t142 () (not @t141)) % 0.84/1.05 (define @t143 () (tptp.aScalar0 @t73)) % 0.84/1.05 (define @t144 () (not @t143)) % 0.84/1.05 (define @t145 () (or @t144 @t142 @t122 @t140)) % 0.84/1.05 (define @t146 () (= @t83 @t139)) % 0.84/1.05 (define @t147 () (and @t146 @t138 @t135 @t134)) % 0.84/1.05 (define @t148 () (or @t144 @t142 @t122 @t147)) % 0.84/1.05 (define @t149 () (or @t128 @t96 @t141)) % 0.84/1.05 (define @t150 () (not @t147)) % 0.84/1.05 (define @t151 () (@list @t147)) % 0.84/1.05 (define @t152 () (= tptp.sz0z00 @t21)) % 0.84/1.05 (define @t153 () (and (= @t1 @t28) (= @t1 @t27) (= tptp.sz0z00 @t26) (= tptp.sz0z00 @t25) (= tptp.sz0z00 @t24) (= tptp.sz0z00 @t23) (= @t1 @t22) @t152)) % 0.84/1.05 (define @t154 () (tptp.smndt0 @t82)) % 0.84/1.05 (define @t155 () (= @t82 (tptp.sdtpldt0 @t82 tptp.sz0z00))) % 0.84/1.05 (define @t156 () (and @t155 (= @t82 (tptp.sdtpldt0 tptp.sz0z00 @t82)) (= tptp.sz0z00 (tptp.sdtasdt0 @t82 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t82)) (= tptp.sz0z00 (tptp.sdtpldt0 @t82 @t154)) (= tptp.sz0z00 (tptp.sdtpldt0 @t154 @t82)) (= @t82 (tptp.smndt0 @t154)) @t152)) % 0.84/1.05 (define @t157 () (or @t142 @t156)) % 0.84/1.05 (define @t158 () (= (tptp.sdtasdt0 @t132 @t80) (tptp.sdtasdt0 @t82 (tptp.sdtasdt0 @t73 @t80)))) % 0.84/1.05 (define @t159 () (tptp.sdtpldt0 @t136 @t80)) % 0.84/1.05 (define @t160 () (= @t159 (tptp.sdtpldt0 @t82 (tptp.sdtpldt0 @t73 @t80)))) % 0.84/1.05 (define @t161 () (and @t160 (= @t136 @t137) @t158 (= @t132 @t133))) % 0.84/1.05 (define @t162 () (or @t142 @t144 @t122 @t161)) % 0.84/1.05 (define @t163 () (and @t160 @t138 @t158 @t134)) % 0.84/1.05 (define @t164 () (or @t142 @t144 @t122 @t163)) % 0.84/1.05 (define @t165 () (tptp.sdtasdt0 tptp.xE tptp.xB)) % 0.84/1.05 (define @t166 () (tptp.sdtasdt0 tptp.xA @t165)) % 0.84/1.05 (define @t167 () (= (tptp.sdtasdt0 @t102 tptp.xB) @t166)) % 0.84/1.05 (define @t168 () (tptp.sdtpldt0 tptp.xE tptp.xB)) % 0.84/1.05 (define @t169 () (= (tptp.sdtpldt0 @t107 tptp.xB) (tptp.sdtpldt0 tptp.xA @t168))) % 0.84/1.05 (define @t170 () (and @t169 (= @t107 @t108) @t167 (= @t102 @t103))) % 0.84/1.05 (define @t171 () (or @t98 @t96 @t97 @t170)) % 0.84/1.05 (define @t172 () (and @t169 @t109 @t167 @t104)) % 0.84/1.05 (define @t173 () (or @t98 @t96 @t97 @t172)) % 0.84/1.05 (define @t174 () (= @t90 @t165)) % 0.84/1.05 (define @t175 () (and (= (tptp.sdtpldt0 @t94 tptp.sz0z00) (tptp.sdtpldt0 tptp.xB (tptp.sdtpldt0 tptp.xE tptp.sz0z00))) (= @t94 @t168) (= (tptp.sdtasdt0 @t90 tptp.sz0z00) (tptp.sdtasdt0 tptp.xB (tptp.sdtasdt0 tptp.xE tptp.sz0z00))) @t174)) % 0.84/1.05 (define @t176 () (not @t13)) % 0.84/1.05 (define @t177 () (or @t97 @t96 @t176 @t175)) % 0.84/1.05 (define @t178 () (and @t71 @t74 @t118 @t138 @t146 @t92 @t106 @t104 @t155 @t160 @t167 @t174)) % 0.84/1.05 (assume @p1 (forall @t3 (=> @t2 true))) % 0.84/1.05 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.84/1.05 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.84/1.05 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 0.84/1.05 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 0.84/1.05 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.84/1.05 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 0.84/1.05 (assume @p8 (forall @t3 (=> @t12 true))) % 0.84/1.05 (assume @p9 @t13) % 0.84/1.05 (assume @p10 (forall @t11 (=> @t16 (tptp.aScalar0 @t14)))) % 0.84/1.05 (assume @p11 @t19) % 0.84/1.05 (assume @p12 (forall @t3 (=> @t12 (tptp.aScalar0 @t20)))) % 0.84/1.05 (assume @p13 @t31) % 0.84/1.05 (assume @p14 @t39) % 0.84/1.05 (assume @p15 (forall @t38 (=> @t37 (and (= (tptp.sdtasdt0 @t1 @t34) (tptp.sdtpldt0 @t17 @t40)) (= (tptp.sdtasdt0 @t14 @t32) (tptp.sdtpldt0 @t40 @t33)))))) % 0.84/1.05 (assume @p16 (forall @t44 (=> @t43 (= (tptp.sdtasdt0 @t14 (tptp.sdtpldt0 @t32 @t41)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t40 (tptp.sdtasdt0 @t1 @t41)) (tptp.sdtpldt0 @t33 @t42)))))) % 0.84/1.05 (assume @p17 (forall @t11 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t46) @t45) (= (tptp.sdtasdt0 @t20 @t5) @t45))))) % 0.84/1.05 (assume @p18 (forall @t11 (=> @t16 (= (tptp.sdtasdt0 @t20 @t46) @t17)))) % 0.84/1.05 (assume @p19 (forall @t11 (=> @t16 (=> @t47 true)))) % 0.84/1.05 (assume @p20 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.84/1.05 (assume @p21 (forall @t11 (=> @t16 (=> (and @t47 @t48) @t9)))) % 0.84/1.05 (assume @p22 (forall @t38 (=> @t37 (=> (and @t47 (tptp.sdtlseqdt0 @t5 @t32)) (tptp.sdtlseqdt0 @t1 @t32))))) % 0.84/1.05 (assume @p23 (forall @t44 (=> @t43 (=> (and @t47 @t49) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t32) (tptp.sdtpldt0 @t5 @t41)))))) % 0.84/1.05 (assume @p24 (forall @t44 (=> @t43 (=> (and @t47 (tptp.sdtlseqdt0 tptp.sz0z00 @t32) @t49) (tptp.sdtlseqdt0 @t40 @t42))))) % 0.84/1.05 (assume @p25 (forall @t11 (=> @t16 (or @t47 @t48)))) % 0.84/1.05 (assume @p26 (forall @t11 (=> @t16 (=> (and @t51 @t50) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t14) (tptp.sdtlseqdt0 tptp.sz0z00 @t17)))))) % 0.84/1.05 (assume @p27 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 tptp.sz0z00 @t52)))) % 0.84/1.05 (assume @p28 (forall @t11 (=> @t16 (=> (and @t51 @t50 (= @t52 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 0.84/1.05 (assume @p29 (forall @t3 (=> @t53 true))) % 0.84/1.05 (assume @p30 (forall @t3 (=> @t53 (tptp.aNaturalNumber0 @t54)))) % 0.84/1.05 (assume @p31 (forall @t11 (=> (and @t53 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 0.84/1.05 (assume @p32 (forall @t3 (=> @t53 (=> (not (= @t54 tptp.sz00)) (forall @t8 (= (= @t5 @t57) (and @t56 (= (tptp.szszuzczcdt0 @t55) @t54) (forall (@list @t32) (=> (tptp.aNaturalNumber0 @t32) (= (tptp.sdtlbdtrb0 @t5 @t32) (tptp.sdtlbdtrb0 @t1 @t32))))))))))) % 0.84/1.05 (assume @p33 (forall @t11 (=> @t62 (=> @t61 (= (tptp.aDimensionOf0 @t57) (tptp.aDimensionOf0 @t58)))))) % 0.84/1.05 (assume @p34 (forall @t11 (=> @t62 (=> @t60 (tptp.aScalar0 @t63))))) % 0.84/1.05 (assume @p35 (forall @t11 (=> @t62 (=> (and @t60 @t59) (= @t63 tptp.sz0z00))))) % 0.84/1.05 (assume @p36 (forall @t11 (=> @t62 (=> @t61 (= @t63 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t57 @t58) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t54) (tptp.sdtlbdtrb0 @t5 @t55)))))))) % 0.84/1.05 (assume @p37 (forall @t3 (=> @t53 (tptp.sdtlseqdt0 tptp.sz0z00 @t64)))) % 0.84/1.05 (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt))) % 0.84/1.05 (assume @p39 (forall @t11 (=> @t62 (=> @t60 (=> (tptp.iLess0 @t54 @t65) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t63 @t63) (tptp.sdtasdt0 @t64 (tptp.sdtasasdt0 @t5 @t5)))))))) % 0.84/1.05 (assume @p40 (= @t65 @t66)) % 0.84/1.05 (assume @p41 (not (= @t65 tptp.sz00))) % 0.84/1.05 (assume @p42 (and (tptp.aVector0 tptp.xp) (= tptp.xp (tptp.sziznziztdt0 tptp.xs)))) % 0.84/1.05 (assume @p43 (and (tptp.aVector0 tptp.xq) (= tptp.xq (tptp.sziznziztdt0 tptp.xt)))) % 0.84/1.05 (assume @p44 (and @t67 (= tptp.xA (tptp.sdtlbdtrb0 tptp.xs @t65)))) % 0.84/1.05 (assume @p45 (and @t68 (= tptp.xB (tptp.sdtlbdtrb0 tptp.xt @t66)))) % 0.84/1.05 (assume @p46 (and (tptp.aScalar0 tptp.xC) (= tptp.xC (tptp.sdtasasdt0 tptp.xp tptp.xp)))) % 0.84/1.05 (assume @p47 (and (tptp.aScalar0 tptp.xD) (= tptp.xD (tptp.sdtasasdt0 tptp.xq tptp.xq)))) % 0.84/1.05 (assume @p48 (and @t69 (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq)))) % 0.84/1.05 (assume @p49 (and (tptp.aScalar0 tptp.xF) (= tptp.xF (tptp.sdtasdt0 tptp.xA tptp.xA)))) % 0.84/1.05 (assume @p50 (and (tptp.aScalar0 tptp.xG) (= tptp.xG (tptp.sdtasdt0 tptp.xB tptp.xB)))) % 0.84/1.05 (assume @p51 (and @t72 @t71)) % 0.84/1.05 (assume @p52 (and (tptp.aScalar0 tptp.xR) (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG)))) % 0.84/1.05 (assume @p53 (and @t75 @t74)) % 0.84/1.05 (assume @p54 (and (tptp.aScalar0 tptp.xS) (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD)))) % 0.84/1.05 (assume @p55 (and (tptp.aScalar0 tptp.xN) (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)))) % 0.84/1.05 (assume @p56 (tptp.sdtlseqdt0 @t77 @t76)) % 0.84/1.05 (assume @p57 (tptp.sdtlseqdt0 @t79 @t78)) % 0.84/1.05 (assume @p58 (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t77 @t81) (tptp.sdtpldt0 @t76 (tptp.sdtpldt0 @t78 @t80)))) % 0.84/1.05 (assume @p59 (not @t84)) % 0.84/1.05 (assume @p60 true) % 0.84/1.05 (step @p61 :rule and_elim :premises (@p51) :args (1)) % 0.84/1.05 (step @p62 :rule and_elim :premises (@p53) :args (1)) % 0.84/1.05 (step @p63 :rule aci_norm :args ((= (or @t89 @t35) @t88))) % 0.84/1.05 (step @p64 :rule refl :args (@t35)) % 0.84/1.05 (step @p65 :rule aci_norm :args ((= (or @t87 (or @t86 @t85)) @t89))) % 0.84/1.05 (step @p66 :rule bool-and-de-morgan :args (@t15 @t36 true)) % 0.84/1.05 (step @p67 :rule refl :args (@t87)) % 0.84/1.05 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t87 (not (and @t15 @t36))))) % 0.84/1.05 (step @p69 :rule bool-and-de-morgan :args (@t12 @t15 (and @t36))) % 0.84/1.05 (step @p70 :rule trans :premises (@p69 @p68)) % 0.84/1.05 (step @p71 :rule trans :premises (@p70 @p65)) % 0.84/1.05 (step @p72 :rule nary_cong :premises (@p71 @p64) :args ((or (not @t37) @t35))) % 0.84/1.05 (step @p73 :rule trans :premises (@p72 @p63)) % 0.84/1.05 (step @p74 :rule bool-impl-elim :args (@t37 @t35)) % 0.84/1.05 (step @p75 :rule trans :premises (@p74 @p73)) % 0.84/1.05 (step @p76 :rule cong :premises (@p75) :args (@t39)) % 0.84/1.05 (step @p77 :rule eq_resolve :premises (@p14 @p76)) % 0.84/1.05 (step @p78 :rule instantiate :premises (@p77) :args ((@list tptp.xA tptp.xB tptp.xE))) % 0.84/1.05 (step @p79 :rule and_elim :premises (@p48) :args (0)) % 0.84/1.05 (step @p80 :rule and_elim :premises (@p45) :args (0)) % 0.84/1.05 (step @p81 :rule and_elim :premises (@p44) :args (0)) % 0.84/1.05 (step @p82 :rule cnf_or_pos :args (@t99)) % 0.84/1.05 (step @p83 :rule reordering :premises (@p82) :args ((or @t98 @t97 @t96 @t95 (not @t99)))) % 0.84/1.05 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p80 @p79 @p78) :args (@t95 @t100 (@list @t67 @t68 @t69 @t99))) % 0.84/1.05 (step @p85 :rule cnf_and_pos :args (@t95 2)) % 0.84/1.05 (step @p86 :rule reordering :premises (@p85) :args ((or @t92 (not @t95)))) % 0.84/1.05 (step @p87 :rule chain_m_resolution :premises (@p86 @p84) :args (@t92 @t101 (@list @t95))) % 0.84/1.05 (step @p88 :rule instantiate :premises (@p77) :args ((@list tptp.xE tptp.xA tptp.xB))) % 0.84/1.05 (step @p89 :rule cnf_or_pos :args (@t111)) % 0.84/1.05 (step @p90 :rule reordering :premises (@p89) :args ((or @t98 @t97 @t96 @t110 (not @t111)))) % 0.84/1.05 (step @p91 :rule chain_m_resolution :premises (@p90 @p81 @p80 @p79 @p88) :args (@t110 @t100 (@list @t67 @t68 @t69 @t111))) % 0.84/1.05 (step @p92 :rule cnf_and_pos :args (@t110 2)) % 0.84/1.05 (step @p93 :rule reordering :premises (@p92) :args ((or @t106 @t112))) % 0.84/1.05 (step @p94 :rule chain_m_resolution :premises (@p93 @p91) :args (@t106 @t101 @t113)) % 0.84/1.05 (step @p95 :rule cnf_and_pos :args (@t110 3)) % 0.84/1.05 (step @p96 :rule reordering :premises (@p95) :args ((or @t104 @t112))) % 0.84/1.05 (step @p97 :rule chain_m_resolution :premises (@p96 @p91) :args (@t104 @t101 @t113)) % 0.84/1.05 (step @p98 :rule aci_norm :args ((= (and @t118 true @t115 true) @t119))) % 0.84/1.05 (step @p99 :rule eq-refl :args (@t114)) % 0.84/1.05 (step @p100 :rule refl :args (@t115)) % 0.84/1.05 (step @p101 :rule eq-refl :args (@t79)) % 0.84/1.05 (step @p102 :rule refl :args (@t118)) % 0.84/1.05 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100 @p99) :args (@t120)) % 0.84/1.05 (step @p104 :rule trans :premises (@p103 @p98)) % 0.84/1.05 (step @p105 :rule refl :args (@t122)) % 0.84/1.05 (step @p106 :rule refl :args (@t123)) % 0.84/1.05 (step @p107 :rule nary_cong :premises (@p106 @p106 @p105 @p104) :args (@t124)) % 0.84/1.05 (step @p108 :rule refl :args (@t125)) % 0.84/1.05 (step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t125 @t124))) % 0.84/1.05 (assume-push @p299 @t125) % 0.84/1.05 (step @p111 :rule instantiate :premises (@p77) :args ((@list tptp.xP tptp.xP @t80))) % 0.84/1.05 (step-pop @p300 :rule scope :premises (@p111)) % 0.84/1.05 (step @p112 :rule process_scope :premises (@p300) :args (@t124)) % 0.84/1.05 (step @p114 :rule eq_resolve :premises (@p112 @p109)) % 0.84/1.05 (step @p115 :rule implies_elim :premises (@p114)) % 0.84/1.05 (step @p116 :rule chain_m_resolution :premises (@p115 @p77) :args (@t126 @t101 @t127)) % 0.84/1.05 (step @p117 :rule aci_norm :args ((= (or (or @t87 @t86) @t18) (or @t87 @t86 @t18)))) % 0.84/1.05 (step @p118 :rule refl :args (@t18)) % 0.84/1.05 (step @p119 :rule bool-and-de-morgan :args (@t12 @t15 true)) % 0.84/1.05 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t16) @t18))) % 0.84/1.05 (step @p121 :rule trans :premises (@p120 @p117)) % 0.84/1.05 (step @p122 :rule bool-impl-elim :args (@t16 @t18)) % 0.84/1.05 (step @p123 :rule trans :premises (@p122 @p121)) % 0.84/1.05 (step @p124 :rule cong :premises (@p123) :args (@t19)) % 0.84/1.05 (step @p125 :rule eq_resolve :premises (@p11 @p124)) % 0.84/1.05 (step @p126 :rule instantiate :premises (@p125) :args ((@list tptp.xH tptp.xH))) % 0.84/1.05 (step @p127 :rule and_elim :premises (@p51) :args (0)) % 0.84/1.05 (step @p128 :rule cnf_or_pos :args (@t129)) % 0.84/1.05 (step @p129 :rule factoring :premises (@p128)) % 0.84/1.05 (step @p130 :rule reordering :premises (@p129) :args ((or @t128 @t121 (not @t129)))) % 0.84/1.05 (step @p131 :rule chain_m_resolution :premises (@p130 @p127 @p126) :args (@t121 @t130 (@list @t72 @t129))) % 0.84/1.05 (step @p132 :rule and_elim :premises (@p53) :args (0)) % 0.84/1.05 (step @p133 :rule cnf_or_pos :args (@t126)) % 0.84/1.05 (step @p134 :rule factoring :premises (@p133)) % 0.84/1.05 (step @p135 :rule reordering :premises (@p134) :args ((or @t123 @t122 @t119 (not @t126)))) % 0.84/1.05 (step @p136 :rule chain_m_resolution :premises (@p135 @p132 @p131 @p116) :args (@t119 @t131 (@list @t75 @t121 @t126))) % 0.84/1.05 (step @p137 :rule cnf_and_pos :args (@t119 0)) % 0.84/1.05 (step @p138 :rule reordering :premises (@p137) :args ((or @t118 (not @t119)))) % 0.84/1.05 (step @p139 :rule chain_m_resolution :premises (@p138 @p136) :args (@t118 @t101 (@list @t119))) % 0.84/1.05 (step @p140 :rule refl :args (@t134)) % 0.84/1.05 (step @p141 :rule refl :args (@t135)) % 0.84/1.05 (step @p142 :rule refl :args (@t138)) % 0.84/1.05 (step @p143 :rule eq-symm :args (@t139 @t83)) % 0.84/1.05 (step @p144 :rule nary_cong :premises (@p143 @p142 @p141 @p140) :args (@t140)) % 0.84/1.05 (step @p145 :rule refl :args (@t142)) % 0.84/1.05 (step @p146 :rule refl :args (@t144)) % 0.84/1.05 (step @p147 :rule nary_cong :premises (@p146 @p145 @p105 @p144) :args (@t145)) % 0.84/1.05 (step @p148 :rule cong :premises (@p108 @p147) :args ((=> @t125 @t145))) % 0.84/1.05 (assume-push @p301 @t125) % 0.84/1.05 (step @p150 :rule instantiate :premises (@p77) :args ((@list @t73 @t82 @t80))) % 0.84/1.05 (step-pop @p302 :rule scope :premises (@p150)) % 0.84/1.05 (step @p151 :rule process_scope :premises (@p302) :args (@t145)) % 0.84/1.05 (step @p153 :rule eq_resolve :premises (@p151 @p148)) % 0.84/1.05 (step @p154 :rule implies_elim :premises (@p153)) % 0.84/1.05 (step @p155 :rule chain_m_resolution :premises (@p154 @p77) :args (@t148 @t101 @t127)) % 0.84/1.05 (step @p156 :rule instantiate :premises (@p125) :args ((@list tptp.xH tptp.xE))) % 0.84/1.05 (step @p157 :rule cnf_or_pos :args (@t149)) % 0.84/1.05 (step @p158 :rule reordering :premises (@p157) :args ((or @t96 @t128 @t141 (not @t149)))) % 0.84/1.05 (step @p159 :rule chain_m_resolution :premises (@p158 @p79 @p127 @p156) :args (@t141 @t131 (@list @t69 @t72 @t149))) % 0.84/1.05 (step @p160 :rule true_intro :premises (@p132)) % 0.84/1.05 (step @p161 :rule symm :premises (@p62)) % 0.84/1.05 (step @p162 :rule cong :premises (@p161) :args (@t143)) % 0.84/1.05 (step @p163 :rule trans :premises (@p162 @p160)) % 0.84/1.05 (step @p164 :rule true_elim :premises (@p163)) % 0.84/1.05 (step @p165 :rule cnf_or_pos :args (@t148)) % 0.84/1.05 (step @p166 :rule reordering :premises (@p165) :args ((or @t144 @t122 @t142 @t147 (not @t148)))) % 0.84/1.05 (step @p167 :rule chain_m_resolution :premises (@p166 @p164 @p131 @p159 @p155) :args (@t147 @t100 (@list @t143 @t121 @t141 @t148))) % 0.84/1.05 (step @p168 :rule cnf_and_pos :args (@t147 0)) % 0.84/1.05 (step @p169 :rule reordering :premises (@p168) :args ((or @t146 @t150))) % 0.84/1.05 (step @p170 :rule chain_m_resolution :premises (@p169 @p167) :args (@t146 @t101 @t151)) % 0.84/1.05 (step @p171 :rule cnf_and_pos :args (@t147 1)) % 0.84/1.05 (step @p172 :rule reordering :premises (@p171) :args ((or @t138 @t150))) % 0.84/1.05 (step @p173 :rule chain_m_resolution :premises (@p172 @p167) :args (@t138 @t101 @t151)) % 0.84/1.05 (step @p174 :rule bool-impl-elim :args (@t12 @t153)) % 0.84/1.05 (step @p175 :rule cong :premises (@p174) :args ((forall @t3 (=> @t12 @t153)))) % 0.84/1.05 (step @p176 :rule eq-symm :args (@t21 tptp.sz0z00)) % 0.84/1.05 (step @p177 :rule eq-symm :args (@t22 @t1)) % 0.84/1.05 (step @p178 :rule eq-symm :args (@t23 tptp.sz0z00)) % 0.84/1.05 (step @p179 :rule eq-symm :args (@t24 tptp.sz0z00)) % 0.84/1.05 (step @p180 :rule eq-symm :args (@t25 tptp.sz0z00)) % 0.84/1.05 (step @p181 :rule eq-symm :args (@t26 tptp.sz0z00)) % 0.84/1.05 (step @p182 :rule eq-symm :args (@t27 @t1)) % 0.84/1.05 (step @p183 :rule eq-symm :args (@t28 @t1)) % 0.84/1.05 (step @p184 :rule nary_cong :premises (@p183 @p182 @p181 @p180 @p179 @p178 @p177 @p176) :args (@t29)) % 0.84/1.05 (step @p185 :rule refl :args (@t12)) % 0.84/1.05 (step @p186 :rule cong :premises (@p185 @p184) :args (@t30)) % 0.84/1.05 (step @p187 :rule cong :premises (@p186) :args (@t31)) % 0.84/1.05 (step @p188 :rule trans :premises (@p187 @p175)) % 0.84/1.05 (step @p189 :rule eq_resolve :premises (@p13 @p188)) % 0.84/1.05 (step @p190 :rule instantiate :premises (@p189) :args ((@list @t82))) % 0.84/1.05 (step @p191 :rule cnf_or_pos :args (@t157)) % 0.84/1.05 (step @p192 :rule reordering :premises (@p191) :args ((or @t142 @t156 (not @t157)))) % 0.84/1.05 (step @p193 :rule chain_m_resolution :premises (@p192 @p159 @p190) :args (@t156 @t130 (@list @t141 @t157))) % 0.84/1.05 (step @p194 :rule cnf_and_pos :args (@t156 0)) % 0.84/1.05 (step @p195 :rule reordering :premises (@p194) :args ((or @t155 (not @t156)))) % 0.84/1.05 (step @p196 :rule chain_m_resolution :premises (@p195 @p193) :args (@t155 @t101 (@list @t156))) % 0.84/1.05 (step @p197 :rule eq-symm :args (@t132 @t133)) % 0.84/1.05 (step @p198 :rule refl :args (@t158)) % 0.84/1.05 (step @p199 :rule eq-symm :args (@t136 @t137)) % 0.84/1.05 (step @p200 :rule refl :args (@t160)) % 0.84/1.05 (step @p201 :rule nary_cong :premises (@p200 @p199 @p198 @p197) :args (@t161)) % 0.84/1.05 (step @p202 :rule nary_cong :premises (@p145 @p146 @p105 @p201) :args (@t162)) % 0.84/1.05 (step @p203 :rule cong :premises (@p108 @p202) :args ((=> @t125 @t162))) % 0.84/1.05 (assume-push @p303 @t125) % 0.84/1.05 (step @p205 :rule instantiate :premises (@p77) :args ((@list @t82 @t73 @t80))) % 0.84/1.05 (step-pop @p304 :rule scope :premises (@p205)) % 0.84/1.05 (step @p206 :rule process_scope :premises (@p304) :args (@t162)) % 0.84/1.05 (step @p208 :rule eq_resolve :premises (@p206 @p203)) % 0.84/1.05 (step @p209 :rule implies_elim :premises (@p208)) % 0.84/1.05 (step @p210 :rule chain_m_resolution :premises (@p209 @p77) :args (@t164 @t101 @t127)) % 0.84/1.05 (step @p211 :rule cnf_or_pos :args (@t164)) % 0.84/1.05 (step @p212 :rule reordering :premises (@p211) :args ((or @t144 @t122 @t142 @t163 (not @t164)))) % 0.84/1.05 (step @p213 :rule chain_m_resolution :premises (@p212 @p164 @p131 @p159 @p210) :args (@t163 @t100 (@list @t143 @t121 @t141 @t164))) % 0.84/1.05 (step @p214 :rule cnf_and_pos :args (@t163 0)) % 0.84/1.05 (step @p215 :rule reordering :premises (@p214) :args ((or @t160 (not @t163)))) % 0.84/1.05 (step @p216 :rule chain_m_resolution :premises (@p215 @p213) :args (@t160 @t101 (@list @t163))) % 0.84/1.05 (step @p217 :rule eq-symm :args (@t102 @t103)) % 0.84/1.05 (step @p218 :rule refl :args (@t167)) % 0.84/1.05 (step @p219 :rule eq-symm :args (@t107 @t108)) % 0.84/1.05 (step @p220 :rule refl :args (@t169)) % 0.84/1.05 (step @p221 :rule nary_cong :premises (@p220 @p219 @p218 @p217) :args (@t170)) % 0.84/1.05 (step @p222 :rule refl :args (@t97)) % 0.84/1.05 (step @p223 :rule refl :args (@t96)) % 0.84/1.05 (step @p224 :rule refl :args (@t98)) % 0.84/1.05 (step @p225 :rule nary_cong :premises (@p224 @p223 @p222 @p221) :args (@t171)) % 0.84/1.05 (step @p226 :rule cong :premises (@p108 @p225) :args ((=> @t125 @t171))) % 0.84/1.05 (assume-push @p305 @t125) % 0.84/1.05 (step @p228 :rule instantiate :premises (@p77) :args ((@list tptp.xA tptp.xE tptp.xB))) % 0.84/1.05 (step-pop @p306 :rule scope :premises (@p228)) % 0.84/1.05 (step @p229 :rule process_scope :premises (@p306) :args (@t171)) % 0.84/1.05 (step @p231 :rule eq_resolve :premises (@p229 @p226)) % 0.84/1.05 (step @p232 :rule implies_elim :premises (@p231)) % 0.84/1.05 (step @p233 :rule chain_m_resolution :premises (@p232 @p77) :args (@t173 @t101 @t127)) % 0.84/1.05 (step @p234 :rule cnf_or_pos :args (@t173)) % 0.84/1.05 (step @p235 :rule reordering :premises (@p234) :args ((or @t98 @t97 @t96 @t172 (not @t173)))) % 0.84/1.05 (step @p236 :rule chain_m_resolution :premises (@p235 @p81 @p80 @p79 @p233) :args (@t172 @t100 (@list @t67 @t68 @t69 @t173))) % 0.84/1.05 (step @p237 :rule cnf_and_pos :args (@t172 2)) % 0.84/1.05 (step @p238 :rule reordering :premises (@p237) :args ((or @t167 (not @t172)))) % 0.84/1.05 (step @p239 :rule chain_m_resolution :premises (@p238 @p236) :args (@t167 @t101 (@list @t172))) % 0.84/1.05 (step @p240 :rule instantiate :premises (@p77) :args ((@list tptp.xB tptp.xE tptp.sz0z00))) % 0.84/1.05 (step @p241 :rule cnf_or_pos :args (@t177)) % 0.84/1.05 (step @p242 :rule reordering :premises (@p241) :args ((or @t176 @t97 @t96 @t175 (not @t177)))) % 0.84/1.05 (step @p243 :rule chain_m_resolution :premises (@p242 @p9 @p80 @p79 @p240) :args (@t175 @t100 (@list @t13 @t68 @t69 @t177))) % 0.84/1.05 (step @p244 :rule cnf_and_pos :args (@t175 3)) % 0.84/1.05 (step @p245 :rule reordering :premises (@p244) :args ((or @t174 (not @t175)))) % 0.84/1.05 (step @p246 :rule chain_m_resolution :premises (@p245 @p243) :args (@t174 @t101 (@list @t175))) % 0.84/1.05 (assume-push @p307 @t71) % 0.84/1.05 (assume-push @p308 @t74) % 0.84/1.05 (assume-push @p309 @t118) % 0.84/1.05 (assume-push @p310 @t138) % 0.84/1.05 (assume-push @p311 @t146) % 0.84/1.05 (assume-push @p312 @t92) % 0.84/1.05 (assume-push @p313 @t106) % 0.84/1.05 (assume-push @p314 @t104) % 0.84/1.05 (assume-push @p315 @t155) % 0.84/1.05 (assume-push @p316 @t160) % 0.84/1.05 (assume-push @p317 @t167) % 0.84/1.05 (assume-push @p318 @t174) % 0.84/1.05 (step @p259 :rule symm :premises (@p170)) % 0.84/1.05 (step @p260 :rule refl :args (@t80)) % 0.84/1.05 (step @p261 :rule symm :premises (@p173)) % 0.84/1.05 (step @p262 :rule cong :premises (@p261 @p260) :args (@t159)) % 0.84/1.05 (step @p263 :rule symm :premises (@p216)) % 0.84/1.05 (step @p264 :rule cong :premises (@p62 @p260) :args (@t116)) % 0.84/1.05 (step @p265 :rule symm :premises (@p196)) % 0.84/1.05 (step @p266 :rule refl :args (tptp.xE)) % 0.84/1.05 (step @p267 :rule symm :premises (@p61)) % 0.84/1.05 (step @p268 :rule cong :premises (@p267 @p266) :args (@t91)) % 0.84/1.05 (step @p269 :rule symm :premises (@p87)) % 0.84/1.05 (step @p270 :rule symm :premises (@p246)) % 0.84/1.05 (step @p271 :rule refl :args (tptp.xA)) % 0.84/1.05 (step @p272 :rule cong :premises (@p271 @p270) :args (@t166)) % 0.84/1.05 (step @p273 :rule refl :args (tptp.xB)) % 0.84/1.05 (step @p274 :rule cong :premises (@p97 @p273) :args (@t105)) % 0.84/1.05 (step @p275 :rule symm :premises (@p94)) % 0.84/1.05 (step @p276 :rule cong :premises (@p266 @p61) :args (@t73)) % 0.84/1.05 (step @p277 :rule trans :premises (@p62 @p276 @p275 @p274 @p239 @p272 @p269 @p268 @p196)) % 0.84/1.05 (step @p278 :rule trans :premises (@p277 @p265)) % 0.84/1.05 (step @p279 :rule cong :premises (@p278 @p264) :args (@t117)) % 0.84/1.05 (step @p280 :rule trans :premises (@p139 @p279 @p263 @p262 @p259)) % 0.84/1.05 (step-pop @p319 :rule scope :premises (@p280)) % 0.84/1.05 (step-pop @p320 :rule scope :premises (@p319)) % 0.84/1.05 (step-pop @p321 :rule scope :premises (@p320)) % 0.84/1.05 (step-pop @p322 :rule scope :premises (@p321)) % 0.84/1.05 (step-pop @p323 :rule scope :premises (@p322)) % 0.84/1.05 (step-pop @p324 :rule scope :premises (@p323)) % 0.84/1.05 (step-pop @p325 :rule scope :premises (@p324)) % 0.84/1.05 (step-pop @p326 :rule scope :premises (@p325)) % 0.84/1.05 (step-pop @p327 :rule scope :premises (@p326)) % 0.84/1.06 (step-pop @p328 :rule scope :premises (@p327)) % 0.84/1.06 (step-pop @p329 :rule scope :premises (@p328)) % 0.84/1.06 (step-pop @p330 :rule scope :premises (@p329)) % 0.84/1.06 (step @p281 :rule process_scope :premises (@p330) :args (@t84)) % 0.84/1.06 (step @p294 :rule implies_elim :premises (@p281)) % 0.84/1.06 (step @p295 :rule cnf_and_neg :args (@t178)) % 0.84/1.06 (step @p296 :rule resolution :premises (@p295 @p294) :args (true @t178)) % 0.84/1.06 (step @p297 :rule reordering :premises (@p296) :args ((or @t84 (not @t71) (not @t74) (not @t118) (not @t146) (not @t138) (not @t92) (not @t106) (not @t104) (not @t155) (not @t160) (not @t167) (not @t174)))) % 0.84/1.06 (step @p298 false :rule chain_m_resolution :premises (@p297 @p246 @p239 @p216 @p196 @p173 @p170 @p139 @p97 @p94 @p87 @p59 @p62 @p61) :args (false (@list false false false false false false false false false false true false false) (@list @t174 @t167 @t160 @t155 @t138 @t146 @t118 @t104 @t106 @t92 @t84 @t74 @t71))) % 0.84/1.06 ) % 0.84/1.06 % SZS output end Proof % 0.84/1.06 % cvc5 exiting %------------------------------------------------------------------------------