%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG068+2 : 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 : n005.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 08:45:34 AM UTC 2026 % Result : Theorem 0.96s 1.16s % Output : Proof 0.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG068+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:05:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.96/1.16 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.96/1.16 % SZS status Theorem % 0.96/1.16 % SZS output start Proof % 0.96/1.16 ( % 0.96/1.16 (declare-sort $$unsorted 0) % 0.96/1.16 (declare-const tptp.xN $$unsorted) % 0.96/1.16 (declare-const tptp.xS $$unsorted) % 0.96/1.16 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 0.96/1.16 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.96/1.16 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.96/1.16 (declare-const tptp.sz00 $$unsorted) % 0.96/1.16 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.96/1.16 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.16 (declare-const tptp.xp $$unsorted) % 0.96/1.16 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.16 (declare-const tptp.xG $$unsorted) % 0.96/1.16 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.16 (declare-const tptp.xF $$unsorted) % 0.96/1.16 (declare-const tptp.sz0z00 $$unsorted) % 0.96/1.16 (declare-const tptp.xC $$unsorted) % 0.96/1.16 (declare-const tptp.xR $$unsorted) % 0.96/1.16 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.96/1.16 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.16 (declare-const tptp.xs $$unsorted) % 0.96/1.16 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.96/1.16 (declare-const tptp.xq $$unsorted) % 0.96/1.16 (declare-const tptp.xP $$unsorted) % 0.96/1.16 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 0.96/1.16 (declare-const tptp.xA $$unsorted) % 0.96/1.16 (declare-const tptp.xB $$unsorted) % 0.96/1.16 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.96/1.16 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 0.96/1.16 (declare-const tptp.xt $$unsorted) % 0.96/1.16 (declare-const tptp.xD $$unsorted) % 0.96/1.16 (declare-const tptp.xE $$unsorted) % 0.96/1.16 (declare-const tptp.xH $$unsorted) % 0.96/1.16 (define @t1 () (@var "W0" $$unsorted)) % 0.96/1.16 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.96/1.16 (define @t3 () (@list @t1)) % 0.96/1.16 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.96/1.16 (define @t5 () (@var "W1" $$unsorted)) % 0.96/1.16 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.96/1.16 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.96/1.16 (define @t8 () (@list @t5)) % 0.96/1.16 (define @t9 () (= @t1 @t5)) % 0.96/1.16 (define @t10 () (and @t2 @t7)) % 0.96/1.16 (define @t11 () (@list @t1 @t5)) % 0.96/1.16 (define @t12 () (tptp.aScalar0 @t1)) % 0.96/1.16 (define @t13 () (tptp.aScalar0 tptp.sz0z00)) % 0.96/1.16 (define @t14 () (tptp.sdtpldt0 @t1 @t5)) % 0.96/1.16 (define @t15 () (tptp.aScalar0 @t14)) % 0.96/1.16 (define @t16 () (tptp.aScalar0 @t5)) % 0.96/1.16 (define @t17 () (and @t12 @t16)) % 0.96/1.16 (define @t18 () (forall @t11 (=> @t17 @t15))) % 0.96/1.16 (define @t19 () (tptp.sdtasdt0 @t1 @t5)) % 0.96/1.16 (define @t20 () (tptp.aScalar0 @t19)) % 0.96/1.16 (define @t21 () (forall @t11 (=> @t17 @t20))) % 0.96/1.16 (define @t22 () (tptp.smndt0 @t1)) % 0.96/1.16 (define @t23 () (@var "W2" $$unsorted)) % 0.96/1.16 (define @t24 () (tptp.sdtasdt0 @t5 @t23)) % 0.96/1.16 (define @t25 () (tptp.sdtpldt0 @t5 @t23)) % 0.96/1.16 (define @t26 () (and (= (tptp.sdtpldt0 @t14 @t23) (tptp.sdtpldt0 @t1 @t25)) (= @t14 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t19 @t23) (tptp.sdtasdt0 @t1 @t24)) (= @t19 (tptp.sdtasdt0 @t5 @t1)))) % 0.96/1.16 (define @t27 () (tptp.aScalar0 @t23)) % 0.96/1.16 (define @t28 () (and @t12 @t16 @t27)) % 0.96/1.16 (define @t29 () (@list @t1 @t5 @t23)) % 0.96/1.16 (define @t30 () (forall @t29 (=> @t28 @t26))) % 0.96/1.16 (define @t31 () (tptp.sdtasdt0 @t1 @t23)) % 0.96/1.16 (define @t32 () (@var "W3" $$unsorted)) % 0.96/1.16 (define @t33 () (tptp.sdtasdt0 @t5 @t32)) % 0.96/1.16 (define @t34 () (and @t12 @t16 @t27 (tptp.aScalar0 @t32))) % 0.96/1.16 (define @t35 () (@list @t1 @t5 @t23 @t32)) % 0.96/1.16 (define @t36 () (tptp.smndt0 @t19)) % 0.96/1.16 (define @t37 () (tptp.smndt0 @t5)) % 0.96/1.16 (define @t38 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.96/1.16 (define @t39 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.96/1.16 (define @t40 () (tptp.sdtlseqdt0 @t23 @t32)) % 0.96/1.16 (define @t41 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 0.96/1.16 (define @t42 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 0.96/1.16 (define @t43 () (tptp.sdtasdt0 @t1 @t1)) % 0.96/1.16 (define @t44 () (tptp.aVector0 @t1)) % 0.96/1.16 (define @t45 () (tptp.aDimensionOf0 @t1)) % 0.96/1.16 (define @t46 () (tptp.aDimensionOf0 @t5)) % 0.96/1.16 (define @t47 () (tptp.aVector0 @t5)) % 0.96/1.16 (define @t48 () (tptp.sziznziztdt0 @t1)) % 0.96/1.16 (define @t49 () (tptp.sziznziztdt0 @t5)) % 0.96/1.16 (define @t50 () (= @t46 tptp.sz00)) % 0.96/1.16 (define @t51 () (= @t45 @t46)) % 0.96/1.16 (define @t52 () (and @t51 (not @t50))) % 0.96/1.16 (define @t53 () (and @t44 @t47)) % 0.96/1.16 (define @t54 () (tptp.sdtasasdt0 @t1 @t5)) % 0.96/1.16 (define @t55 () (tptp.sdtasasdt0 @t1 @t1)) % 0.96/1.16 (define @t56 () (tptp.aDimensionOf0 tptp.xs)) % 0.96/1.16 (define @t57 () (tptp.aDimensionOf0 tptp.xt)) % 0.96/1.16 (define @t58 () (tptp.aScalar0 tptp.xC)) % 0.96/1.16 (define @t59 () (tptp.aScalar0 tptp.xG)) % 0.96/1.16 (define @t60 () (tptp.sdtasdt0 tptp.xC tptp.xG)) % 0.96/1.16 (define @t61 () (tptp.aScalar0 tptp.xR)) % 0.96/1.16 (define @t62 () (tptp.aScalar0 tptp.xP)) % 0.96/1.16 (define @t63 () (tptp.aScalar0 tptp.xS)) % 0.96/1.16 (define @t64 () (tptp.sdtasdt0 tptp.xR tptp.xS)) % 0.96/1.16 (define @t65 () (tptp.aScalar0 tptp.xN)) % 0.96/1.16 (define @t66 () (tptp.sdtasdt0 tptp.xP tptp.xP)) % 0.96/1.16 (define @t67 () (tptp.sdtasdt0 tptp.xS tptp.xS)) % 0.96/1.16 (define @t68 () (tptp.sdtasdt0 tptp.xR tptp.xR)) % 0.96/1.16 (define @t69 () (tptp.sdtpldt0 @t68 @t67)) % 0.96/1.16 (define @t70 () (tptp.sdtpldt0 @t66 @t66)) % 0.96/1.16 (define @t71 () (tptp.sdtpldt0 @t69 tptp.xN)) % 0.96/1.16 (define @t72 () (tptp.sdtpldt0 @t71 tptp.xN)) % 0.96/1.16 (define @t73 () (tptp.sdtpldt0 @t70 @t66)) % 0.96/1.16 (define @t74 () (tptp.sdtpldt0 @t73 @t66)) % 0.96/1.16 (define @t75 () (tptp.sdtpldt0 @t67 tptp.xN)) % 0.96/1.16 (define @t76 () (tptp.sdtpldt0 @t68 tptp.xN)) % 0.96/1.16 (define @t77 () (tptp.sdtpldt0 @t76 @t67)) % 0.96/1.16 (define @t78 () (= (tptp.sdtpldt0 @t77 tptp.xN) (tptp.sdtpldt0 @t76 @t75))) % 0.96/1.16 (define @t79 () (tptp.sdtasdt0 tptp.xS tptp.xR)) % 0.96/1.16 (define @t80 () (tptp.sdtpldt0 @t68 @t64)) % 0.96/1.16 (define @t81 () (tptp.sdtpldt0 @t80 (tptp.sdtpldt0 @t79 @t67))) % 0.96/1.16 (define @t82 () (tptp.sdtpldt0 @t70 @t70)) % 0.96/1.16 (define @t83 () (tptp.sdtlseqdt0 @t82 @t81)) % 0.96/1.16 (define @t84 () (not @t27)) % 0.96/1.16 (define @t85 () (not @t16)) % 0.96/1.16 (define @t86 () (not @t12)) % 0.96/1.16 (define @t87 () (or @t86 @t85 @t84 @t26)) % 0.96/1.16 (define @t88 () (or @t86 @t85 @t84)) % 0.96/1.16 (define @t89 () (or @t86 @t85)) % 0.96/1.16 (define @t90 () (not @t17)) % 0.96/1.16 (define @t91 () (tptp.aScalar0 @t67)) % 0.96/1.16 (define @t92 () (not @t63)) % 0.96/1.16 (define @t93 () (or @t92 @t92 @t91)) % 0.96/1.16 (define @t94 () (@list false false)) % 0.96/1.16 (define @t95 () (tptp.aScalar0 @t68)) % 0.96/1.16 (define @t96 () (not @t61)) % 0.96/1.16 (define @t97 () (or @t96 @t96 @t95)) % 0.96/1.16 (define @t98 () (tptp.aScalar0 @t69)) % 0.96/1.16 (define @t99 () (not @t91)) % 0.96/1.16 (define @t100 () (not @t95)) % 0.96/1.16 (define @t101 () (or @t100 @t99 @t98)) % 0.96/1.16 (define @t102 () (@list false false false)) % 0.96/1.16 (define @t103 () (tptp.sdtasdt0 tptp.xN @t69)) % 0.96/1.16 (define @t104 () (tptp.sdtasdt0 @t69 tptp.xN)) % 0.96/1.16 (define @t105 () (= @t104 @t103)) % 0.96/1.16 (define @t106 () (tptp.sdtpldt0 tptp.xN @t69)) % 0.96/1.16 (define @t107 () (= @t71 @t106)) % 0.96/1.16 (define @t108 () (and (= @t72 (tptp.sdtpldt0 @t69 (tptp.sdtpldt0 tptp.xN tptp.xN))) @t107 (= (tptp.sdtasdt0 @t104 tptp.xN) (tptp.sdtasdt0 @t69 (tptp.sdtasdt0 tptp.xN tptp.xN))) @t105)) % 0.96/1.16 (define @t109 () (not @t65)) % 0.96/1.16 (define @t110 () (not @t98)) % 0.96/1.16 (define @t111 () (or @t110 @t109 @t109 @t108)) % 0.96/1.16 (define @t112 () (@list false)) % 0.96/1.16 (define @t113 () (tptp.sdtpldt0 @t106 tptp.xN)) % 0.96/1.16 (define @t114 () (= (tptp.sdtasdt0 @t103 tptp.xN) (tptp.sdtasdt0 tptp.xN @t104))) % 0.96/1.16 (define @t115 () (= @t113 (tptp.sdtpldt0 tptp.xN @t71))) % 0.96/1.16 (define @t116 () (and @t115 (= @t106 @t71) @t114 (= @t103 @t104))) % 0.96/1.16 (define @t117 () (or @t109 @t110 @t109 @t116)) % 0.96/1.16 (define @t118 () (forall @t29 @t87)) % 0.96/1.16 (define @t119 () (and @t115 @t107 @t114 @t105)) % 0.96/1.16 (define @t120 () (or @t109 @t110 @t109 @t119)) % 0.96/1.16 (define @t121 () (@list @t118)) % 0.96/1.16 (define @t122 () (tptp.sdtasdt0 @t67 @t68)) % 0.96/1.16 (define @t123 () (tptp.sdtasdt0 @t68 @t67)) % 0.96/1.16 (define @t124 () (= @t123 @t122)) % 0.96/1.16 (define @t125 () (tptp.sdtasdt0 @t67 tptp.xN)) % 0.96/1.16 (define @t126 () (tptp.sdtpldt0 @t67 @t68)) % 0.96/1.16 (define @t127 () (= @t69 @t126)) % 0.96/1.16 (define @t128 () (tptp.sdtpldt0 @t68 @t75)) % 0.96/1.16 (define @t129 () (= @t71 @t128)) % 0.96/1.16 (define @t130 () (and @t129 @t127 (= (tptp.sdtasdt0 @t123 tptp.xN) (tptp.sdtasdt0 @t68 @t125)) @t124)) % 0.96/1.16 (define @t131 () (or @t100 @t99 @t109 @t130)) % 0.96/1.16 (define @t132 () (@list false false false false)) % 0.96/1.16 (define @t133 () (not @t130)) % 0.96/1.16 (define @t134 () (@list @t130)) % 0.96/1.16 (define @t135 () (tptp.sdtpldt0 @t126 tptp.xN)) % 0.96/1.16 (define @t136 () (= (tptp.sdtasdt0 @t122 tptp.xN) (tptp.sdtasdt0 @t67 (tptp.sdtasdt0 @t68 tptp.xN)))) % 0.96/1.16 (define @t137 () (tptp.sdtpldt0 @t67 @t76)) % 0.96/1.16 (define @t138 () (and (= @t135 @t137) (= @t126 @t69) @t136 (= @t122 @t123))) % 0.96/1.16 (define @t139 () (or @t99 @t100 @t109 @t138)) % 0.96/1.16 (define @t140 () (= @t137 @t135)) % 0.96/1.16 (define @t141 () (and @t140 @t127 @t136 @t124)) % 0.96/1.16 (define @t142 () (or @t99 @t100 @t109 @t141)) % 0.96/1.16 (define @t143 () (tptp.aScalar0 @t76)) % 0.96/1.16 (define @t144 () (or @t100 @t109 @t143)) % 0.96/1.16 (define @t145 () (tptp.sdtasdt0 @t76 @t67)) % 0.96/1.16 (define @t146 () (= @t77 @t137)) % 0.96/1.16 (define @t147 () (and @t78 @t146 (= (tptp.sdtasdt0 @t145 tptp.xN) (tptp.sdtasdt0 @t76 @t125)) (= @t145 (tptp.sdtasdt0 @t67 @t76)))) % 0.96/1.16 (define @t148 () (not @t143)) % 0.96/1.16 (define @t149 () (or @t148 @t99 @t109 @t147)) % 0.96/1.16 (define @t150 () (tptp.sdtpldt0 @t80 @t67)) % 0.96/1.16 (define @t151 () (tptp.sdtasdt0 @t60 tptp.xS)) % 0.96/1.16 (define @t152 () (tptp.sdtasdt0 tptp.xG tptp.xS)) % 0.96/1.16 (define @t153 () (= @t151 (tptp.sdtasdt0 tptp.xC @t152))) % 0.96/1.16 (define @t154 () (tptp.sdtpldt0 tptp.xC tptp.xG)) % 0.96/1.16 (define @t155 () (tptp.sdtpldt0 tptp.xG tptp.xS)) % 0.96/1.16 (define @t156 () (and (= (tptp.sdtpldt0 @t154 tptp.xS) (tptp.sdtpldt0 tptp.xC @t155)) (= @t154 (tptp.sdtpldt0 tptp.xG tptp.xC)) @t153 (= @t60 (tptp.sdtasdt0 tptp.xG tptp.xC)))) % 0.96/1.16 (define @t157 () (not @t59)) % 0.96/1.16 (define @t158 () (not @t58)) % 0.96/1.16 (define @t159 () (or @t158 @t157 @t92 @t156)) % 0.96/1.16 (define @t160 () (tptp.sdtasdt0 tptp.xS tptp.xG)) % 0.96/1.16 (define @t161 () (= @t152 @t160)) % 0.96/1.16 (define @t162 () (tptp.sdtpldt0 tptp.xS tptp.xG)) % 0.96/1.16 (define @t163 () (and (= (tptp.sdtpldt0 @t155 tptp.sz0z00) (tptp.sdtpldt0 tptp.xG (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= @t155 @t162) (= (tptp.sdtasdt0 @t152 tptp.sz0z00) (tptp.sdtasdt0 tptp.xG (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) @t161)) % 0.96/1.16 (define @t164 () (not @t13)) % 0.96/1.16 (define @t165 () (or @t157 @t92 @t164 @t163)) % 0.96/1.16 (define @t166 () (tptp.sdtasdt0 tptp.xC @t160)) % 0.96/1.16 (define @t167 () (tptp.sdtasdt0 tptp.xC tptp.xS)) % 0.96/1.16 (define @t168 () (tptp.sdtasdt0 tptp.xS tptp.xC)) % 0.96/1.16 (define @t169 () (= (tptp.sdtasdt0 @t167 tptp.xG) @t166)) % 0.96/1.16 (define @t170 () (tptp.sdtpldt0 tptp.xC tptp.xS)) % 0.96/1.16 (define @t171 () (tptp.sdtpldt0 tptp.xS tptp.xC)) % 0.96/1.16 (define @t172 () (= (tptp.sdtpldt0 @t170 tptp.xG) (tptp.sdtpldt0 tptp.xC @t162))) % 0.96/1.16 (define @t173 () (and @t172 (= @t170 @t171) @t169 (= @t167 @t168))) % 0.96/1.16 (define @t174 () (or @t158 @t92 @t157 @t173)) % 0.96/1.16 (define @t175 () (= @t168 @t167)) % 0.96/1.16 (define @t176 () (= @t171 @t170)) % 0.96/1.16 (define @t177 () (and @t172 @t176 @t169 @t175)) % 0.96/1.16 (define @t178 () (or @t158 @t92 @t157 @t177)) % 0.96/1.16 (define @t179 () (tptp.sdtasdt0 @t168 tptp.xG)) % 0.96/1.16 (define @t180 () (= @t179 (tptp.sdtasdt0 tptp.xS @t60))) % 0.96/1.16 (define @t181 () (and (= (tptp.sdtpldt0 @t171 tptp.xG) (tptp.sdtpldt0 tptp.xS @t154)) @t176 @t180 @t175)) % 0.96/1.16 (define @t182 () (or @t92 @t158 @t157 @t181)) % 0.96/1.16 (define @t183 () (not @t181)) % 0.96/1.16 (define @t184 () (@list @t181)) % 0.96/1.16 (define @t185 () (tptp.sdtpldt0 @t79 @t150)) % 0.96/1.16 (define @t186 () (tptp.sdtasdt0 @t79 @t80)) % 0.96/1.16 (define @t187 () (tptp.sdtasdt0 @t80 @t79)) % 0.96/1.16 (define @t188 () (= (tptp.sdtasdt0 @t186 @t67) (tptp.sdtasdt0 @t79 (tptp.sdtasdt0 @t80 @t67)))) % 0.96/1.16 (define @t189 () (tptp.sdtpldt0 @t79 @t80)) % 0.96/1.16 (define @t190 () (tptp.sdtpldt0 @t80 @t79)) % 0.96/1.16 (define @t191 () (= (tptp.sdtpldt0 @t189 @t67) @t185)) % 0.96/1.16 (define @t192 () (and @t191 (= @t189 @t190) @t188 (= @t186 @t187))) % 0.96/1.16 (define @t193 () (tptp.aScalar0 @t80)) % 0.96/1.16 (define @t194 () (not @t193)) % 0.96/1.16 (define @t195 () (tptp.aScalar0 @t79)) % 0.96/1.16 (define @t196 () (not @t195)) % 0.96/1.16 (define @t197 () (or @t196 @t194 @t99 @t192)) % 0.96/1.16 (define @t198 () (= @t187 @t186)) % 0.96/1.16 (define @t199 () (= @t190 @t189)) % 0.96/1.16 (define @t200 () (and @t191 @t199 @t188 @t198)) % 0.96/1.16 (define @t201 () (or @t196 @t194 @t99 @t200)) % 0.96/1.16 (define @t202 () (or @t92 @t96 @t195)) % 0.96/1.16 (define @t203 () (= (tptp.sdtasdt0 @t187 @t67) (tptp.sdtasdt0 @t80 (tptp.sdtasdt0 @t79 @t67)))) % 0.96/1.16 (define @t204 () (tptp.sdtpldt0 @t190 @t67)) % 0.96/1.16 (define @t205 () (and (= @t204 @t81) @t199 @t203 @t198)) % 0.96/1.16 (define @t206 () (or @t194 @t196 @t99 @t205)) % 0.96/1.16 (define @t207 () (= @t81 @t204)) % 0.96/1.16 (define @t208 () (and @t207 @t199 @t203 @t198)) % 0.96/1.16 (define @t209 () (or @t194 @t196 @t99 @t208)) % 0.96/1.16 (define @t210 () (not @t208)) % 0.96/1.16 (define @t211 () (@list @t208)) % 0.96/1.16 (define @t212 () (tptp.aScalar0 @t66)) % 0.96/1.16 (define @t213 () (not @t62)) % 0.96/1.16 (define @t214 () (or @t213 @t213 @t212)) % 0.96/1.16 (define @t215 () (tptp.aScalar0 @t70)) % 0.96/1.16 (define @t216 () (not @t212)) % 0.96/1.16 (define @t217 () (or @t216 @t216 @t215)) % 0.96/1.16 (define @t218 () (tptp.sdtasdt0 @t70 @t66)) % 0.96/1.16 (define @t219 () (= @t74 @t82)) % 0.96/1.16 (define @t220 () (and @t219 (= @t73 (tptp.sdtpldt0 @t66 @t70)) (= (tptp.sdtasdt0 @t218 @t66) (tptp.sdtasdt0 @t70 (tptp.sdtasdt0 @t66 @t66))) (= @t218 (tptp.sdtasdt0 @t66 @t70)))) % 0.96/1.16 (define @t221 () (not @t215)) % 0.96/1.16 (define @t222 () (or @t221 @t216 @t216 @t220)) % 0.96/1.16 (assume @p1 (forall @t3 (=> @t2 true))) % 0.96/1.16 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.96/1.16 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.96/1.16 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 0.96/1.16 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 0.96/1.16 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.96/1.16 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 0.96/1.16 (assume @p8 (forall @t3 (=> @t12 true))) % 0.96/1.16 (assume @p9 @t13) % 0.96/1.16 (assume @p10 @t18) % 0.96/1.16 (assume @p11 @t21) % 0.96/1.16 (assume @p12 (forall @t3 (=> @t12 (tptp.aScalar0 @t22)))) % 0.96/1.16 (assume @p13 (forall @t3 (=> @t12 (and (= (tptp.sdtpldt0 @t1 tptp.sz0z00) @t1) (= (tptp.sdtpldt0 tptp.sz0z00 @t1) @t1) (= (tptp.sdtasdt0 @t1 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 @t1) tptp.sz0z00) (= (tptp.sdtpldt0 @t1 @t22) tptp.sz0z00) (= (tptp.sdtpldt0 @t22 @t1) tptp.sz0z00) (= (tptp.smndt0 @t22) @t1) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))))) % 0.96/1.16 (assume @p14 @t30) % 0.96/1.16 (assume @p15 (forall @t29 (=> @t28 (and (= (tptp.sdtasdt0 @t1 @t25) (tptp.sdtpldt0 @t19 @t31)) (= (tptp.sdtasdt0 @t14 @t23) (tptp.sdtpldt0 @t31 @t24)))))) % 0.96/1.16 (assume @p16 (forall @t35 (=> @t34 (= (tptp.sdtasdt0 @t14 (tptp.sdtpldt0 @t23 @t32)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t31 (tptp.sdtasdt0 @t1 @t32)) (tptp.sdtpldt0 @t24 @t33)))))) % 0.96/1.16 (assume @p17 (forall @t11 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t37) @t36) (= (tptp.sdtasdt0 @t22 @t5) @t36))))) % 0.96/1.16 (assume @p18 (forall @t11 (=> @t17 (= (tptp.sdtasdt0 @t22 @t37) @t19)))) % 0.96/1.16 (assume @p19 (forall @t11 (=> @t17 (=> @t38 true)))) % 0.96/1.16 (assume @p20 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.96/1.16 (assume @p21 (forall @t11 (=> @t17 (=> (and @t38 @t39) @t9)))) % 0.96/1.16 (assume @p22 (forall @t29 (=> @t28 (=> (and @t38 (tptp.sdtlseqdt0 @t5 @t23)) (tptp.sdtlseqdt0 @t1 @t23))))) % 0.96/1.16 (assume @p23 (forall @t35 (=> @t34 (=> (and @t38 @t40) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t23) (tptp.sdtpldt0 @t5 @t32)))))) % 0.96/1.16 (assume @p24 (forall @t35 (=> @t34 (=> (and @t38 (tptp.sdtlseqdt0 tptp.sz0z00 @t23) @t40) (tptp.sdtlseqdt0 @t31 @t33))))) % 0.96/1.16 (assume @p25 (forall @t11 (=> @t17 (or @t38 @t39)))) % 0.96/1.16 (assume @p26 (forall @t11 (=> @t17 (=> (and @t42 @t41) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t14) (tptp.sdtlseqdt0 tptp.sz0z00 @t19)))))) % 0.96/1.16 (assume @p27 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 tptp.sz0z00 @t43)))) % 0.96/1.16 (assume @p28 (forall @t11 (=> @t17 (=> (and @t42 @t41 (= @t43 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 0.96/1.16 (assume @p29 (forall @t3 (=> @t44 true))) % 0.96/1.16 (assume @p30 (forall @t3 (=> @t44 (tptp.aNaturalNumber0 @t45)))) % 0.96/1.16 (assume @p31 (forall @t11 (=> (and @t44 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 0.96/1.16 (assume @p32 (forall @t3 (=> @t44 (=> (not (= @t45 tptp.sz00)) (forall @t8 (= (= @t5 @t48) (and @t47 (= (tptp.szszuzczcdt0 @t46) @t45) (forall (@list @t23) (=> (tptp.aNaturalNumber0 @t23) (= (tptp.sdtlbdtrb0 @t5 @t23) (tptp.sdtlbdtrb0 @t1 @t23))))))))))) % 0.96/1.16 (assume @p33 (forall @t11 (=> @t53 (=> @t52 (= (tptp.aDimensionOf0 @t48) (tptp.aDimensionOf0 @t49)))))) % 0.96/1.16 (assume @p34 (forall @t11 (=> @t53 (=> @t51 (tptp.aScalar0 @t54))))) % 0.96/1.16 (assume @p35 (forall @t11 (=> @t53 (=> (and @t51 @t50) (= @t54 tptp.sz0z00))))) % 0.96/1.16 (assume @p36 (forall @t11 (=> @t53 (=> @t52 (= @t54 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t48 @t49) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t45) (tptp.sdtlbdtrb0 @t5 @t46)))))))) % 0.96/1.16 (assume @p37 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 tptp.sz0z00 @t55)))) % 0.96/1.16 (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt))) % 0.96/1.16 (assume @p39 (forall @t11 (=> @t53 (=> @t51 (=> (tptp.iLess0 @t45 @t56) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t54 @t54) (tptp.sdtasdt0 @t55 (tptp.sdtasasdt0 @t5 @t5)))))))) % 0.96/1.16 (assume @p40 (= @t56 @t57)) % 0.96/1.16 (assume @p41 (not (= @t56 tptp.sz00))) % 0.96/1.16 (assume @p42 (and (tptp.aVector0 tptp.xp) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)) @t56) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xp @t1) (tptp.sdtlbdtrb0 tptp.xs @t1)))) (= tptp.xp (tptp.sziznziztdt0 tptp.xs)))) % 0.96/1.16 (assume @p43 (and (tptp.aVector0 tptp.xq) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) @t57) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xq @t1) (tptp.sdtlbdtrb0 tptp.xt @t1)))) (= tptp.xq (tptp.sziznziztdt0 tptp.xt)))) % 0.96/1.16 (assume @p44 (and (tptp.aScalar0 tptp.xA) (= tptp.xA (tptp.sdtlbdtrb0 tptp.xs @t56)))) % 0.96/1.16 (assume @p45 (and (tptp.aScalar0 tptp.xB) (= tptp.xB (tptp.sdtlbdtrb0 tptp.xt @t57)))) % 0.96/1.16 (assume @p46 (and @t58 (= tptp.xC (tptp.sdtasasdt0 tptp.xp tptp.xp)))) % 0.96/1.16 (assume @p47 (and (tptp.aScalar0 tptp.xD) (= tptp.xD (tptp.sdtasasdt0 tptp.xq tptp.xq)))) % 0.96/1.16 (assume @p48 (and (tptp.aScalar0 tptp.xE) (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq)))) % 0.96/1.16 (assume @p49 (and (tptp.aScalar0 tptp.xF) (= tptp.xF (tptp.sdtasdt0 tptp.xA tptp.xA)))) % 0.96/1.16 (assume @p50 (and @t59 (= tptp.xG (tptp.sdtasdt0 tptp.xB tptp.xB)))) % 0.96/1.16 (assume @p51 (and (tptp.aScalar0 tptp.xH) (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) % 0.96/1.16 (assume @p52 (and @t61 (= tptp.xR @t60))) % 0.96/1.16 (assume @p53 (and @t62 (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) % 0.96/1.16 (assume @p54 (and @t63 (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD)))) % 0.96/1.16 (assume @p55 (and @t65 (= tptp.xN @t64))) % 0.96/1.16 (assume @p56 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD))) % 0.96/1.16 (assume @p57 (tptp.sdtlseqdt0 @t66 tptp.xN)) % 0.96/1.16 (assume @p58 (tptp.sdtlseqdt0 @t70 @t69)) % 0.96/1.16 (assume @p59 (tptp.sdtlseqdt0 @t74 @t72)) % 0.96/1.16 (assume @p60 @t78) % 0.96/1.16 (assume @p61 (not @t83)) % 0.96/1.16 (assume @p62 true) % 0.96/1.16 (step @p63 :rule evaluate :args ((= false true))) % 0.96/1.16 (step @p64 :rule true_intro :premises (@p59)) % 0.96/1.16 (step @p65 :rule refl :args (tptp.xN)) % 0.96/1.16 (step @p66 :rule aci_norm :args ((= (or @t88 @t26) @t87))) % 0.96/1.16 (step @p67 :rule refl :args (@t26)) % 0.96/1.16 (step @p68 :rule aci_norm :args ((= (or @t86 (or @t85 @t84)) @t88))) % 0.96/1.16 (step @p69 :rule bool-and-de-morgan :args (@t16 @t27 true)) % 0.96/1.16 (step @p70 :rule refl :args (@t86)) % 0.96/1.16 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t86 (not (and @t16 @t27))))) % 0.96/1.16 (step @p72 :rule bool-and-de-morgan :args (@t12 @t16 (and @t27))) % 0.96/1.16 (step @p73 :rule trans :premises (@p72 @p71)) % 0.96/1.16 (step @p74 :rule trans :premises (@p73 @p68)) % 0.96/1.16 (step @p75 :rule nary_cong :premises (@p74 @p67) :args ((or (not @t28) @t26))) % 0.96/1.16 (step @p76 :rule trans :premises (@p75 @p66)) % 0.96/1.16 (step @p77 :rule bool-impl-elim :args (@t28 @t26)) % 0.96/1.16 (step @p78 :rule trans :premises (@p77 @p76)) % 0.96/1.16 (step @p79 :rule cong :premises (@p78) :args (@t30)) % 0.96/1.16 (step @p80 :rule eq_resolve :premises (@p14 @p79)) % 0.96/1.16 (step @p81 :rule instantiate :premises (@p80) :args ((@list @t69 tptp.xN tptp.xN))) % 0.96/1.16 (step @p82 :rule aci_norm :args ((= (or @t89 @t15) (or @t86 @t85 @t15)))) % 0.96/1.16 (step @p83 :rule refl :args (@t15)) % 0.96/1.16 (step @p84 :rule bool-and-de-morgan :args (@t12 @t16 true)) % 0.96/1.16 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t90 @t15))) % 0.96/1.16 (step @p86 :rule trans :premises (@p85 @p82)) % 0.96/1.16 (step @p87 :rule bool-impl-elim :args (@t17 @t15)) % 0.96/1.16 (step @p88 :rule trans :premises (@p87 @p86)) % 0.96/1.16 (step @p89 :rule cong :premises (@p88) :args (@t18)) % 0.96/1.16 (step @p90 :rule eq_resolve :premises (@p10 @p89)) % 0.96/1.16 (step @p91 :rule instantiate :premises (@p90) :args ((@list @t68 @t67))) % 0.96/1.16 (step @p92 :rule aci_norm :args ((= (or @t89 @t20) (or @t86 @t85 @t20)))) % 0.96/1.16 (step @p93 :rule refl :args (@t20)) % 0.96/1.16 (step @p94 :rule nary_cong :premises (@p84 @p93) :args ((or @t90 @t20))) % 0.96/1.16 (step @p95 :rule trans :premises (@p94 @p92)) % 0.96/1.16 (step @p96 :rule bool-impl-elim :args (@t17 @t20)) % 0.96/1.16 (step @p97 :rule trans :premises (@p96 @p95)) % 0.96/1.16 (step @p98 :rule cong :premises (@p97) :args (@t21)) % 0.96/1.16 (step @p99 :rule eq_resolve :premises (@p11 @p98)) % 0.96/1.16 (step @p100 :rule instantiate :premises (@p99) :args ((@list tptp.xS tptp.xS))) % 0.96/1.16 (step @p101 :rule and_elim :premises (@p54) :args (0)) % 0.96/1.16 (step @p102 :rule cnf_or_pos :args (@t93)) % 0.96/1.16 (step @p103 :rule factoring :premises (@p102)) % 0.96/1.16 (step @p104 :rule reordering :premises (@p103) :args ((or @t92 @t91 (not @t93)))) % 0.96/1.16 (step @p105 :rule chain_m_resolution :premises (@p104 @p101 @p100) :args (@t91 @t94 (@list @t63 @t93))) % 0.96/1.16 (step @p106 :rule instantiate :premises (@p99) :args ((@list tptp.xR tptp.xR))) % 0.96/1.16 (step @p107 :rule and_elim :premises (@p52) :args (0)) % 0.96/1.16 (step @p108 :rule cnf_or_pos :args (@t97)) % 0.96/1.16 (step @p109 :rule factoring :premises (@p108)) % 0.96/1.16 (step @p110 :rule reordering :premises (@p109) :args ((or @t96 @t95 (not @t97)))) % 0.96/1.16 (step @p111 :rule chain_m_resolution :premises (@p110 @p107 @p106) :args (@t95 @t94 (@list @t61 @t97))) % 0.96/1.16 (step @p112 :rule cnf_or_pos :args (@t101)) % 0.96/1.16 (step @p113 :rule reordering :premises (@p112) :args ((or @t100 @t99 @t98 (not @t101)))) % 0.96/1.16 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p105 @p91) :args (@t98 @t102 (@list @t95 @t91 @t101))) % 0.96/1.16 (step @p115 :rule and_elim :premises (@p55) :args (0)) % 0.96/1.16 (step @p116 :rule cnf_or_pos :args (@t111)) % 0.96/1.16 (step @p117 :rule factoring :premises (@p116)) % 0.96/1.16 (step @p118 :rule reordering :premises (@p117) :args ((or @t109 @t110 @t108 (not @t111)))) % 0.96/1.16 (step @p119 :rule chain_m_resolution :premises (@p118 @p115 @p114 @p81) :args (@t108 @t102 (@list @t65 @t98 @t111))) % 0.96/1.16 (step @p120 :rule cnf_and_pos :args (@t108 1)) % 0.96/1.16 (step @p121 :rule reordering :premises (@p120) :args ((or @t107 (not @t108)))) % 0.96/1.16 (step @p122 :rule chain_m_resolution :premises (@p121 @p119) :args (@t107 @t112 (@list @t108))) % 0.96/1.16 (step @p123 :rule symm :premises (@p122)) % 0.96/1.16 (step @p124 :rule cong :premises (@p123 @p65) :args (@t113)) % 0.96/1.16 (step @p125 :rule eq-symm :args (@t103 @t104)) % 0.96/1.16 (step @p126 :rule refl :args (@t114)) % 0.96/1.16 (step @p127 :rule eq-symm :args (@t106 @t71)) % 0.96/1.16 (step @p128 :rule refl :args (@t115)) % 0.96/1.16 (step @p129 :rule nary_cong :premises (@p128 @p127 @p126 @p125) :args (@t116)) % 0.96/1.16 (step @p130 :rule refl :args (@t109)) % 0.96/1.16 (step @p131 :rule refl :args (@t110)) % 0.96/1.16 (step @p132 :rule nary_cong :premises (@p130 @p131 @p130 @p129) :args (@t117)) % 0.96/1.16 (step @p133 :rule refl :args (@t118)) % 0.96/1.16 (step @p134 :rule cong :premises (@p133 @p132) :args ((=> @t118 @t117))) % 0.96/1.16 (assume-push @p351 @t118) % 0.96/1.16 (step @p136 :rule instantiate :premises (@p80) :args ((@list tptp.xN @t69 tptp.xN))) % 0.96/1.16 (step-pop @p352 :rule scope :premises (@p136)) % 0.96/1.16 (step @p137 :rule process_scope :premises (@p352) :args (@t117)) % 0.96/1.16 (step @p139 :rule eq_resolve :premises (@p137 @p134)) % 0.96/1.16 (step @p140 :rule implies_elim :premises (@p139)) % 0.96/1.16 (step @p141 :rule chain_m_resolution :premises (@p140 @p80) :args (@t120 @t112 @t121)) % 0.96/1.16 (step @p142 :rule cnf_or_pos :args (@t120)) % 0.96/1.16 (step @p143 :rule factoring :premises (@p142)) % 0.96/1.16 (step @p144 :rule reordering :premises (@p143) :args ((or @t109 @t110 @t119 (not @t120)))) % 0.96/1.16 (step @p145 :rule chain_m_resolution :premises (@p144 @p115 @p114 @p141) :args (@t119 @t102 (@list @t65 @t98 @t120))) % 0.96/1.16 (step @p146 :rule cnf_and_pos :args (@t119 0)) % 0.96/1.16 (step @p147 :rule reordering :premises (@p146) :args ((or @t115 (not @t119)))) % 0.96/1.16 (step @p148 :rule chain_m_resolution :premises (@p147 @p145) :args (@t115 @t112 (@list @t119))) % 0.96/1.16 (step @p149 :rule symm :premises (@p148)) % 0.96/1.16 (step @p150 :rule instantiate :premises (@p80) :args ((@list @t68 @t67 tptp.xN))) % 0.96/1.16 (step @p151 :rule cnf_or_pos :args (@t131)) % 0.96/1.16 (step @p152 :rule reordering :premises (@p151) :args ((or @t109 @t100 @t99 @t130 (not @t131)))) % 0.96/1.16 (step @p153 :rule chain_m_resolution :premises (@p152 @p115 @p111 @p105 @p150) :args (@t130 @t132 (@list @t65 @t95 @t91 @t131))) % 0.96/1.16 (step @p154 :rule cnf_and_pos :args (@t130 0)) % 0.96/1.16 (step @p155 :rule reordering :premises (@p154) :args ((or @t129 @t133))) % 0.96/1.16 (step @p156 :rule chain_m_resolution :premises (@p155 @p153) :args (@t129 @t112 @t134)) % 0.96/1.16 (step @p157 :rule symm :premises (@p156)) % 0.96/1.16 (step @p158 :rule cong :premises (@p65 @p157) :args ((tptp.sdtpldt0 tptp.xN @t128))) % 0.96/1.16 (step @p159 :rule cnf_and_pos :args (@t130 1)) % 0.96/1.16 (step @p160 :rule reordering :premises (@p159) :args ((or @t127 @t133))) % 0.96/1.16 (step @p161 :rule chain_m_resolution :premises (@p160 @p153) :args (@t127 @t112 @t134)) % 0.96/1.16 (step @p162 :rule symm :premises (@p161)) % 0.96/1.16 (step @p163 :rule cong :premises (@p162 @p65) :args (@t135)) % 0.96/1.16 (step @p164 :rule eq-symm :args (@t122 @t123)) % 0.96/1.16 (step @p165 :rule refl :args (@t136)) % 0.96/1.16 (step @p166 :rule eq-symm :args (@t126 @t69)) % 0.96/1.16 (step @p167 :rule eq-symm :args (@t135 @t137)) % 0.96/1.16 (step @p168 :rule nary_cong :premises (@p167 @p166 @p165 @p164) :args (@t138)) % 0.96/1.16 (step @p169 :rule refl :args (@t100)) % 0.96/1.16 (step @p170 :rule refl :args (@t99)) % 0.96/1.16 (step @p171 :rule nary_cong :premises (@p170 @p169 @p130 @p168) :args (@t139)) % 0.96/1.16 (step @p172 :rule cong :premises (@p133 @p171) :args ((=> @t118 @t139))) % 0.96/1.16 (assume-push @p353 @t118) % 0.96/1.16 (step @p174 :rule instantiate :premises (@p80) :args ((@list @t67 @t68 tptp.xN))) % 0.96/1.16 (step-pop @p354 :rule scope :premises (@p174)) % 0.96/1.16 (step @p175 :rule process_scope :premises (@p354) :args (@t139)) % 0.96/1.16 (step @p177 :rule eq_resolve :premises (@p175 @p172)) % 0.96/1.16 (step @p178 :rule implies_elim :premises (@p177)) % 0.96/1.16 (step @p179 :rule chain_m_resolution :premises (@p178 @p80) :args (@t142 @t112 @t121)) % 0.96/1.16 (step @p180 :rule cnf_or_pos :args (@t142)) % 0.96/1.16 (step @p181 :rule reordering :premises (@p180) :args ((or @t109 @t100 @t99 @t141 (not @t142)))) % 0.96/1.16 (step @p182 :rule chain_m_resolution :premises (@p181 @p115 @p111 @p105 @p179) :args (@t141 @t132 (@list @t65 @t95 @t91 @t142))) % 0.96/1.16 (step @p183 :rule cnf_and_pos :args (@t141 0)) % 0.96/1.16 (step @p184 :rule reordering :premises (@p183) :args ((or @t140 (not @t141)))) % 0.96/1.16 (step @p185 :rule chain_m_resolution :premises (@p184 @p182) :args (@t140 @t112 (@list @t141))) % 0.96/1.16 (step @p186 :rule instantiate :premises (@p80) :args ((@list @t76 @t67 tptp.xN))) % 0.96/1.16 (step @p187 :rule instantiate :premises (@p90) :args ((@list @t68 tptp.xN))) % 0.96/1.16 (step @p188 :rule cnf_or_pos :args (@t144)) % 0.96/1.16 (step @p189 :rule reordering :premises (@p188) :args ((or @t109 @t100 @t143 (not @t144)))) % 0.96/1.16 (step @p190 :rule chain_m_resolution :premises (@p189 @p115 @p111 @p187) :args (@t143 @t102 (@list @t65 @t95 @t144))) % 0.96/1.16 (step @p191 :rule cnf_or_pos :args (@t149)) % 0.96/1.16 (step @p192 :rule reordering :premises (@p191) :args ((or @t109 @t99 @t148 @t147 (not @t149)))) % 0.96/1.16 (step @p193 :rule chain_m_resolution :premises (@p192 @p115 @p105 @p190 @p186) :args (@t147 @t132 (@list @t65 @t91 @t143 @t149))) % 0.96/1.16 (step @p194 :rule cnf_and_pos :args (@t147 1)) % 0.96/1.16 (step @p195 :rule reordering :premises (@p194) :args ((or @t146 (not @t147)))) % 0.96/1.16 (step @p196 :rule chain_m_resolution :premises (@p195 @p193) :args (@t146 @t112 (@list @t147))) % 0.96/1.16 (step @p197 :rule refl :args (@t67)) % 0.96/1.16 (step @p198 :rule and_elim :premises (@p55) :args (1)) % 0.96/1.16 (step @p199 :rule symm :premises (@p198)) % 0.96/1.16 (step @p200 :rule refl :args (@t68)) % 0.96/1.16 (step @p201 :rule cong :premises (@p200 @p199) :args (@t80)) % 0.96/1.16 (step @p202 :rule cong :premises (@p201 @p197) :args (@t150)) % 0.96/1.16 (step @p203 :rule trans :premises (@p202 @p196 @p185 @p163 @p156)) % 0.96/1.16 (step @p204 :rule refl :args (tptp.xS)) % 0.96/1.16 (step @p205 :rule and_elim :premises (@p52) :args (1)) % 0.96/1.16 (step @p206 :rule symm :premises (@p205)) % 0.96/1.16 (step @p207 :rule cong :premises (@p206 @p204) :args (@t151)) % 0.96/1.16 (step @p208 :rule instantiate :premises (@p80) :args ((@list tptp.xC tptp.xG tptp.xS))) % 0.96/1.16 (step @p209 :rule and_elim :premises (@p50) :args (0)) % 0.96/1.16 (step @p210 :rule and_elim :premises (@p46) :args (0)) % 0.96/1.16 (step @p211 :rule cnf_or_pos :args (@t159)) % 0.96/1.16 (step @p212 :rule reordering :premises (@p211) :args ((or @t158 @t157 @t92 @t156 (not @t159)))) % 0.96/1.16 (step @p213 :rule chain_m_resolution :premises (@p212 @p210 @p209 @p101 @p208) :args (@t156 @t132 (@list @t58 @t59 @t63 @t159))) % 0.96/1.16 (step @p214 :rule cnf_and_pos :args (@t156 2)) % 0.96/1.16 (step @p215 :rule reordering :premises (@p214) :args ((or @t153 (not @t156)))) % 0.96/1.16 (step @p216 :rule chain_m_resolution :premises (@p215 @p213) :args (@t153 @t112 (@list @t156))) % 0.96/1.16 (step @p217 :rule symm :premises (@p216)) % 0.96/1.16 (step @p218 :rule instantiate :premises (@p80) :args ((@list tptp.xG tptp.xS tptp.sz0z00))) % 0.96/1.16 (step @p219 :rule cnf_or_pos :args (@t165)) % 0.96/1.16 (step @p220 :rule reordering :premises (@p219) :args ((or @t164 @t157 @t92 @t163 (not @t165)))) % 0.96/1.16 (step @p221 :rule chain_m_resolution :premises (@p220 @p9 @p209 @p101 @p218) :args (@t163 @t132 (@list @t13 @t59 @t63 @t165))) % 0.96/1.16 (step @p222 :rule cnf_and_pos :args (@t163 3)) % 0.96/1.16 (step @p223 :rule reordering :premises (@p222) :args ((or @t161 (not @t163)))) % 0.96/1.16 (step @p224 :rule chain_m_resolution :premises (@p223 @p221) :args (@t161 @t112 (@list @t163))) % 0.96/1.16 (step @p225 :rule symm :premises (@p224)) % 0.96/1.16 (step @p226 :rule refl :args (tptp.xC)) % 0.96/1.16 (step @p227 :rule cong :premises (@p226 @p225) :args (@t166)) % 0.96/1.16 (step @p228 :rule eq-symm :args (@t167 @t168)) % 0.96/1.16 (step @p229 :rule refl :args (@t169)) % 0.96/1.16 (step @p230 :rule eq-symm :args (@t170 @t171)) % 0.96/1.16 (step @p231 :rule refl :args (@t172)) % 0.96/1.16 (step @p232 :rule nary_cong :premises (@p231 @p230 @p229 @p228) :args (@t173)) % 0.96/1.16 (step @p233 :rule refl :args (@t157)) % 0.96/1.16 (step @p234 :rule refl :args (@t92)) % 0.96/1.16 (step @p235 :rule refl :args (@t158)) % 0.96/1.16 (step @p236 :rule nary_cong :premises (@p235 @p234 @p233 @p232) :args (@t174)) % 0.96/1.16 (step @p237 :rule cong :premises (@p133 @p236) :args ((=> @t118 @t174))) % 0.96/1.16 (assume-push @p355 @t118) % 0.96/1.16 (step @p239 :rule instantiate :premises (@p80) :args ((@list tptp.xC tptp.xS tptp.xG))) % 0.96/1.16 (step-pop @p356 :rule scope :premises (@p239)) % 0.96/1.16 (step @p240 :rule process_scope :premises (@p356) :args (@t174)) % 0.96/1.16 (step @p242 :rule eq_resolve :premises (@p240 @p237)) % 0.96/1.16 (step @p243 :rule implies_elim :premises (@p242)) % 0.96/1.16 (step @p244 :rule chain_m_resolution :premises (@p243 @p80) :args (@t178 @t112 @t121)) % 0.96/1.16 (step @p245 :rule cnf_or_pos :args (@t178)) % 0.96/1.16 (step @p246 :rule reordering :premises (@p245) :args ((or @t158 @t157 @t92 @t177 (not @t178)))) % 0.96/1.16 (step @p247 :rule chain_m_resolution :premises (@p246 @p210 @p209 @p101 @p244) :args (@t177 @t132 (@list @t58 @t59 @t63 @t178))) % 0.96/1.16 (step @p248 :rule cnf_and_pos :args (@t177 2)) % 0.96/1.16 (step @p249 :rule reordering :premises (@p248) :args ((or @t169 (not @t177)))) % 0.96/1.16 (step @p250 :rule chain_m_resolution :premises (@p249 @p247) :args (@t169 @t112 (@list @t177))) % 0.96/1.16 (step @p251 :rule refl :args (tptp.xG)) % 0.96/1.16 (step @p252 :rule instantiate :premises (@p80) :args ((@list tptp.xS tptp.xC tptp.xG))) % 0.96/1.16 (step @p253 :rule cnf_or_pos :args (@t182)) % 0.96/1.16 (step @p254 :rule reordering :premises (@p253) :args ((or @t158 @t157 @t92 @t181 (not @t182)))) % 0.96/1.16 (step @p255 :rule chain_m_resolution :premises (@p254 @p210 @p209 @p101 @p252) :args (@t181 @t132 (@list @t58 @t59 @t63 @t182))) % 0.96/1.16 (step @p256 :rule cnf_and_pos :args (@t181 3)) % 0.96/1.16 (step @p257 :rule reordering :premises (@p256) :args ((or @t175 @t183))) % 0.96/1.16 (step @p258 :rule chain_m_resolution :premises (@p257 @p255) :args (@t175 @t112 @t184)) % 0.96/1.16 (step @p259 :rule cong :premises (@p258 @p251) :args (@t179)) % 0.96/1.16 (step @p260 :rule trans :premises (@p259 @p250 @p227 @p217 @p207 @p199)) % 0.96/1.16 (step @p261 :rule cnf_and_pos :args (@t181 2)) % 0.96/1.16 (step @p262 :rule reordering :premises (@p261) :args ((or @t180 @t183))) % 0.96/1.16 (step @p263 :rule chain_m_resolution :premises (@p262 @p255) :args (@t180 @t112 @t184)) % 0.96/1.16 (step @p264 :rule symm :premises (@p263)) % 0.96/1.16 (step @p265 :rule cong :premises (@p204 @p205) :args (@t79)) % 0.96/1.16 (step @p266 :rule trans :premises (@p265 @p264)) % 0.96/1.16 (step @p267 :rule trans :premises (@p266 @p260)) % 0.96/1.16 (step @p268 :rule cong :premises (@p267 @p203) :args (@t185)) % 0.96/1.16 (step @p269 :rule eq-symm :args (@t186 @t187)) % 0.96/1.16 (step @p270 :rule refl :args (@t188)) % 0.96/1.16 (step @p271 :rule eq-symm :args (@t189 @t190)) % 0.96/1.16 (step @p272 :rule refl :args (@t191)) % 0.96/1.16 (step @p273 :rule nary_cong :premises (@p272 @p271 @p270 @p269) :args (@t192)) % 0.96/1.16 (step @p274 :rule refl :args (@t194)) % 0.96/1.16 (step @p275 :rule refl :args (@t196)) % 0.96/1.16 (step @p276 :rule nary_cong :premises (@p275 @p274 @p170 @p273) :args (@t197)) % 0.96/1.16 (step @p277 :rule cong :premises (@p133 @p276) :args ((=> @t118 @t197))) % 0.96/1.16 (assume-push @p357 @t118) % 0.96/1.16 (step @p279 :rule instantiate :premises (@p80) :args ((@list @t79 @t80 @t67))) % 0.96/1.16 (step-pop @p358 :rule scope :premises (@p279)) % 0.96/1.16 (step @p280 :rule process_scope :premises (@p358) :args (@t197)) % 0.96/1.16 (step @p282 :rule eq_resolve :premises (@p280 @p277)) % 0.96/1.16 (step @p283 :rule implies_elim :premises (@p282)) % 0.96/1.16 (step @p284 :rule chain_m_resolution :premises (@p283 @p80) :args (@t201 @t112 @t121)) % 0.96/1.16 (step @p285 :rule instantiate :premises (@p99) :args ((@list tptp.xS tptp.xR))) % 0.96/1.16 (step @p286 :rule cnf_or_pos :args (@t202)) % 0.96/1.16 (step @p287 :rule reordering :premises (@p286) :args ((or @t96 @t92 @t195 (not @t202)))) % 0.96/1.16 (step @p288 :rule chain_m_resolution :premises (@p287 @p107 @p101 @p285) :args (@t195 @t102 (@list @t61 @t63 @t202))) % 0.96/1.16 (step @p289 :rule true_intro :premises (@p190)) % 0.96/1.16 (step @p290 :rule cong :premises (@p201) :args (@t193)) % 0.96/1.16 (step @p291 :rule trans :premises (@p290 @p289)) % 0.96/1.16 (step @p292 :rule true_elim :premises (@p291)) % 0.96/1.16 (step @p293 :rule cnf_or_pos :args (@t201)) % 0.96/1.16 (step @p294 :rule reordering :premises (@p293) :args ((or @t99 @t194 @t196 @t200 (not @t201)))) % 0.96/1.16 (step @p295 :rule chain_m_resolution :premises (@p294 @p105 @p292 @p288 @p284) :args (@t200 @t132 (@list @t91 @t193 @t195 @t201))) % 0.96/1.16 (step @p296 :rule cnf_and_pos :args (@t200 0)) % 0.96/1.16 (step @p297 :rule reordering :premises (@p296) :args ((or @t191 (not @t200)))) % 0.96/1.16 (step @p298 :rule chain_m_resolution :premises (@p297 @p295) :args (@t191 @t112 (@list @t200))) % 0.96/1.16 (step @p299 :rule refl :args (@t198)) % 0.96/1.16 (step @p300 :rule refl :args (@t203)) % 0.96/1.16 (step @p301 :rule refl :args (@t199)) % 0.96/1.16 (step @p302 :rule eq-symm :args (@t204 @t81)) % 0.96/1.16 (step @p303 :rule nary_cong :premises (@p302 @p301 @p300 @p299) :args (@t205)) % 0.96/1.16 (step @p304 :rule nary_cong :premises (@p274 @p275 @p170 @p303) :args (@t206)) % 0.96/1.16 (step @p305 :rule cong :premises (@p133 @p304) :args ((=> @t118 @t206))) % 0.96/1.16 (assume-push @p359 @t118) % 0.96/1.16 (step @p307 :rule instantiate :premises (@p80) :args ((@list @t80 @t79 @t67))) % 0.96/1.16 (step-pop @p360 :rule scope :premises (@p307)) % 0.96/1.16 (step @p308 :rule process_scope :premises (@p360) :args (@t206)) % 0.96/1.16 (step @p310 :rule eq_resolve :premises (@p308 @p305)) % 0.96/1.16 (step @p311 :rule implies_elim :premises (@p310)) % 0.96/1.16 (step @p312 :rule chain_m_resolution :premises (@p311 @p80) :args (@t209 @t112 @t121)) % 0.96/1.16 (step @p313 :rule cnf_or_pos :args (@t209)) % 0.96/1.16 (step @p314 :rule reordering :premises (@p313) :args ((or @t99 @t194 @t196 @t208 (not @t209)))) % 0.96/1.16 (step @p315 :rule chain_m_resolution :premises (@p314 @p105 @p292 @p288 @p312) :args (@t208 @t132 (@list @t91 @t193 @t195 @t209))) % 0.96/1.16 (step @p316 :rule cnf_and_pos :args (@t208 1)) % 0.96/1.16 (step @p317 :rule reordering :premises (@p316) :args ((or @t199 @t210))) % 0.96/1.16 (step @p318 :rule chain_m_resolution :premises (@p317 @p315) :args (@t199 @t112 @t211)) % 0.96/1.16 (step @p319 :rule cong :premises (@p318 @p197) :args (@t204)) % 0.96/1.16 (step @p320 :rule trans :premises (@p319 @p298 @p268 @p158 @p149 @p124)) % 0.96/1.16 (step @p321 :rule instantiate :premises (@p80) :args ((@list @t70 @t66 @t66))) % 0.96/1.16 (step @p322 :rule instantiate :premises (@p90) :args ((@list @t66 @t66))) % 0.96/1.16 (step @p323 :rule instantiate :premises (@p99) :args ((@list tptp.xP tptp.xP))) % 0.96/1.16 (step @p324 :rule and_elim :premises (@p53) :args (0)) % 0.96/1.16 (step @p325 :rule cnf_or_pos :args (@t214)) % 0.96/1.16 (step @p326 :rule factoring :premises (@p325)) % 0.96/1.16 (step @p327 :rule reordering :premises (@p326) :args ((or @t213 @t212 (not @t214)))) % 0.96/1.16 (step @p328 :rule chain_m_resolution :premises (@p327 @p324 @p323) :args (@t212 @t94 (@list @t62 @t214))) % 0.96/1.16 (step @p329 :rule cnf_or_pos :args (@t217)) % 0.96/1.16 (step @p330 :rule factoring :premises (@p329)) % 0.96/1.16 (step @p331 :rule reordering :premises (@p330) :args ((or @t216 @t215 (not @t217)))) % 0.96/1.16 (step @p332 :rule chain_m_resolution :premises (@p331 @p328 @p322) :args (@t215 @t94 (@list @t212 @t217))) % 0.96/1.16 (step @p333 :rule cnf_or_pos :args (@t222)) % 0.96/1.16 (step @p334 :rule factoring :premises (@p333)) % 0.96/1.16 (step @p335 :rule reordering :premises (@p334) :args ((or @t216 @t221 @t220 (not @t222)))) % 0.96/1.16 (step @p336 :rule chain_m_resolution :premises (@p335 @p328 @p332 @p321) :args (@t220 @t102 (@list @t212 @t215 @t222))) % 0.96/1.16 (step @p337 :rule cnf_and_pos :args (@t220 0)) % 0.96/1.16 (step @p338 :rule reordering :premises (@p337) :args ((or @t219 (not @t220)))) % 0.96/1.16 (step @p339 :rule chain_m_resolution :premises (@p338 @p336) :args (@t219 @t112 (@list @t220))) % 0.96/1.16 (step @p340 :rule symm :premises (@p339)) % 0.96/1.16 (step @p341 :rule cong :premises (@p340 @p320) :args ((tptp.sdtlseqdt0 @t82 @t204))) % 0.96/1.16 (step @p342 :rule cnf_and_pos :args (@t208 0)) % 0.96/1.16 (step @p343 :rule reordering :premises (@p342) :args ((or @t207 @t210))) % 0.96/1.16 (step @p344 :rule chain_m_resolution :premises (@p343 @p315) :args (@t207 @t112 @t211)) % 0.96/1.16 (step @p345 :rule refl :args (@t82)) % 0.96/1.16 (step @p346 :rule cong :premises (@p345 @p344) :args (@t83)) % 0.96/1.16 (step @p347 :rule false_intro :premises (@p61)) % 0.96/1.16 (step @p348 :rule symm :premises (@p347)) % 0.96/1.16 (step @p349 :rule trans :premises (@p348 @p346 @p341 @p64)) % 0.96/1.16 (step @p350 false :rule eq_resolve :premises (@p349 @p63)) % 0.96/1.16 ) % 0.96/1.16 % SZS output end Proof % 0.96/1.16 % cvc5 exiting %------------------------------------------------------------------------------