%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG049+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 : n015.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 08:45:29 AM UTC 2026 % Result : Theorem 0.38s 0.62s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG049+2 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.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 14:04:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-sort $$unsorted 0) % 0.38/0.62 (declare-const tptp.xs $$unsorted) % 0.38/0.62 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.sz0z00 $$unsorted) % 0.38/0.62 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.sz00 $$unsorted) % 0.38/0.62 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 0.38/0.62 (define @t1 () (@var "W0" $$unsorted)) % 0.38/0.62 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.38/0.62 (define @t3 () (@list @t1)) % 0.38/0.62 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.38/0.62 (define @t5 () (@var "W1" $$unsorted)) % 0.38/0.62 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.38/0.62 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.38/0.62 (define @t8 () (@list @t5)) % 0.38/0.62 (define @t9 () (= @t1 @t5)) % 0.38/0.62 (define @t10 () (and @t2 @t7)) % 0.38/0.62 (define @t11 () (@list @t1 @t5)) % 0.38/0.62 (define @t12 () (tptp.iLess0 @t1 @t4)) % 0.38/0.62 (define @t13 () (forall @t3 (=> @t2 @t12))) % 0.38/0.62 (define @t14 () (tptp.aScalar0 @t1)) % 0.38/0.62 (define @t15 () (tptp.aScalar0 tptp.sz0z00)) % 0.38/0.62 (define @t16 () (tptp.sdtpldt0 @t1 @t5)) % 0.38/0.62 (define @t17 () (tptp.aScalar0 @t5)) % 0.38/0.62 (define @t18 () (and @t14 @t17)) % 0.38/0.62 (define @t19 () (tptp.sdtasdt0 @t1 @t5)) % 0.38/0.62 (define @t20 () (tptp.aScalar0 @t19)) % 0.38/0.62 (define @t21 () (forall @t11 (=> @t18 @t20))) % 0.38/0.62 (define @t22 () (tptp.smndt0 @t1)) % 0.38/0.62 (define @t23 () (tptp.smndt0 tptp.sz0z00)) % 0.38/0.62 (define @t24 () (tptp.smndt0 @t22)) % 0.38/0.62 (define @t25 () (tptp.sdtpldt0 @t22 @t1)) % 0.38/0.62 (define @t26 () (tptp.sdtpldt0 @t1 @t22)) % 0.38/0.62 (define @t27 () (tptp.sdtasdt0 tptp.sz0z00 @t1)) % 0.38/0.62 (define @t28 () (tptp.sdtasdt0 @t1 tptp.sz0z00)) % 0.38/0.62 (define @t29 () (tptp.sdtpldt0 tptp.sz0z00 @t1)) % 0.38/0.62 (define @t30 () (tptp.sdtpldt0 @t1 tptp.sz0z00)) % 0.38/0.62 (define @t31 () (and (= @t30 @t1) (= @t29 @t1) (= @t28 tptp.sz0z00) (= @t27 tptp.sz0z00) (= @t26 tptp.sz0z00) (= @t25 tptp.sz0z00) (= @t24 @t1) (= @t23 tptp.sz0z00))) % 0.38/0.62 (define @t32 () (=> @t14 @t31)) % 0.38/0.62 (define @t33 () (forall @t3 @t32)) % 0.38/0.62 (define @t34 () (@var "W2" $$unsorted)) % 0.38/0.62 (define @t35 () (tptp.sdtasdt0 @t5 @t34)) % 0.38/0.62 (define @t36 () (tptp.sdtpldt0 @t5 @t34)) % 0.38/0.62 (define @t37 () (tptp.aScalar0 @t34)) % 0.38/0.62 (define @t38 () (and @t14 @t17 @t37)) % 0.38/0.62 (define @t39 () (@list @t1 @t5 @t34)) % 0.38/0.62 (define @t40 () (tptp.sdtasdt0 @t1 @t34)) % 0.38/0.62 (define @t41 () (@var "W3" $$unsorted)) % 0.38/0.62 (define @t42 () (tptp.sdtasdt0 @t5 @t41)) % 0.38/0.62 (define @t43 () (tptp.aScalar0 @t41)) % 0.38/0.62 (define @t44 () (and @t14 @t17 @t37 @t43)) % 0.38/0.62 (define @t45 () (@list @t1 @t5 @t34 @t41)) % 0.38/0.62 (define @t46 () (tptp.smndt0 @t19)) % 0.38/0.62 (define @t47 () (tptp.smndt0 @t5)) % 0.38/0.62 (define @t48 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.38/0.62 (define @t49 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.38/0.62 (define @t50 () (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t34) (tptp.sdtpldt0 @t5 @t41))) % 0.38/0.62 (define @t51 () (tptp.sdtlseqdt0 @t34 @t41)) % 0.38/0.62 (define @t52 () (and @t48 @t51)) % 0.38/0.62 (define @t53 () (=> @t52 @t50)) % 0.38/0.62 (define @t54 () (forall @t45 (=> @t44 @t53))) % 0.38/0.62 (define @t55 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 0.38/0.62 (define @t56 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 0.38/0.62 (define @t57 () (tptp.sdtasdt0 @t1 @t1)) % 0.38/0.62 (define @t58 () (tptp.aVector0 @t1)) % 0.38/0.62 (define @t59 () (tptp.aDimensionOf0 @t1)) % 0.38/0.62 (define @t60 () (tptp.aNaturalNumber0 @t59)) % 0.38/0.62 (define @t61 () (forall @t3 (=> @t58 @t60))) % 0.38/0.62 (define @t62 () (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))) % 0.38/0.62 (define @t63 () (and @t58 @t7)) % 0.38/0.62 (define @t64 () (forall @t11 (=> @t63 @t62))) % 0.38/0.62 (define @t65 () (tptp.aDimensionOf0 @t5)) % 0.38/0.62 (define @t66 () (tptp.aVector0 @t5)) % 0.38/0.62 (define @t67 () (tptp.sziznziztdt0 @t1)) % 0.38/0.62 (define @t68 () (tptp.sziznziztdt0 @t5)) % 0.38/0.62 (define @t69 () (= @t65 tptp.sz00)) % 0.38/0.62 (define @t70 () (not @t69)) % 0.38/0.62 (define @t71 () (= @t59 @t65)) % 0.38/0.62 (define @t72 () (and @t71 @t70)) % 0.38/0.62 (define @t73 () (and @t58 @t66)) % 0.38/0.62 (define @t74 () (tptp.sdtasasdt0 @t1 @t5)) % 0.38/0.62 (define @t75 () (tptp.aScalar0 @t74)) % 0.38/0.62 (define @t76 () (=> @t71 @t75)) % 0.38/0.62 (define @t77 () (forall @t11 (=> @t73 @t76))) % 0.38/0.62 (define @t78 () (= @t74 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t67 @t68) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t59) (tptp.sdtlbdtrb0 @t5 @t65))))) % 0.38/0.62 (define @t79 () (=> @t72 @t78)) % 0.38/0.62 (define @t80 () (=> @t73 @t79)) % 0.38/0.62 (define @t81 () (forall @t11 @t80)) % 0.38/0.62 (define @t82 () (tptp.aVector0 tptp.xs)) % 0.38/0.62 (define @t83 () (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 @t1 @t1))) % 0.38/0.62 (define @t84 () (tptp.aDimensionOf0 tptp.xs)) % 0.38/0.62 (define @t85 () (tptp.iLess0 @t59 @t84)) % 0.38/0.62 (define @t86 () (=> @t85 @t83)) % 0.38/0.62 (define @t87 () (forall @t3 (=> @t58 @t86))) % 0.38/0.62 (define @t88 () (tptp.sziznziztdt0 tptp.xs)) % 0.38/0.62 (define @t89 () (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 @t88 @t1) (tptp.sdtlbdtrb0 tptp.xs @t1))))) % 0.38/0.62 (define @t90 () (tptp.aDimensionOf0 @t88)) % 0.38/0.62 (define @t91 () (tptp.szszuzczcdt0 @t90)) % 0.38/0.62 (define @t92 () (= @t91 @t84)) % 0.38/0.62 (define @t93 () (tptp.aVector0 @t88)) % 0.38/0.62 (define @t94 () (tptp.sdtlbdtrb0 tptp.xs @t84)) % 0.38/0.62 (define @t95 () (tptp.sdtasdt0 @t94 @t94)) % 0.38/0.62 (define @t96 () (tptp.sdtlseqdt0 tptp.sz0z00 @t95)) % 0.38/0.62 (define @t97 () (tptp.sdtasasdt0 tptp.xs tptp.xs)) % 0.38/0.62 (define @t98 () (tptp.sdtlseqdt0 tptp.sz0z00 @t97)) % 0.38/0.62 (define @t99 () (not @t51)) % 0.38/0.62 (define @t100 () (not @t48)) % 0.38/0.62 (define @t101 () (not @t43)) % 0.38/0.62 (define @t102 () (not @t37)) % 0.38/0.62 (define @t103 () (not @t17)) % 0.38/0.62 (define @t104 () (not @t14)) % 0.38/0.62 (define @t105 () (or @t100 @t99 @t50)) % 0.38/0.62 (define @t106 () (or @t104 @t103 @t102 @t101)) % 0.38/0.62 (define @t107 () (tptp.sdtasasdt0 @t88 @t88)) % 0.38/0.62 (define @t108 () (not @t71)) % 0.38/0.62 (define @t109 () (not @t66)) % 0.38/0.62 (define @t110 () (not @t58)) % 0.38/0.62 (define @t111 () (or @t110 @t109 @t108 @t75)) % 0.38/0.62 (define @t112 () (or @t110 @t109)) % 0.38/0.62 (define @t113 () (not @t73)) % 0.38/0.62 (define @t114 () (tptp.aScalar0 @t107)) % 0.38/0.62 (define @t115 () (not @t93)) % 0.38/0.62 (define @t116 () (or @t115 @t114)) % 0.38/0.62 (define @t117 () (not (= @t90 @t90))) % 0.38/0.62 (define @t118 () (or @t115 @t115 @t117 @t114)) % 0.38/0.62 (define @t119 () (forall @t11 @t111)) % 0.38/0.62 (define @t120 () (@list false)) % 0.38/0.62 (define @t121 () (@list false false)) % 0.38/0.62 (define @t122 () (not @t85)) % 0.38/0.62 (define @t123 () (@list @t88)) % 0.38/0.62 (define @t124 () (tptp.aNaturalNumber0 @t90)) % 0.38/0.62 (define @t125 () (or @t115 @t124)) % 0.38/0.62 (define @t126 () (tptp.iLess0 @t90 @t91)) % 0.38/0.62 (define @t127 () (not @t124)) % 0.38/0.62 (define @t128 () (or @t127 @t126)) % 0.38/0.62 (define @t129 () (tptp.iLess0 @t90 @t84)) % 0.38/0.62 (define @t130 () (tptp.sdtlseqdt0 tptp.sz0z00 @t107)) % 0.38/0.62 (define @t131 () (not @t129)) % 0.38/0.62 (define @t132 () (or @t115 @t131 @t130)) % 0.38/0.62 (define @t133 () (@list false false false)) % 0.38/0.62 (define @t134 () (not @t7)) % 0.38/0.62 (define @t135 () (tptp.aNaturalNumber0 @t84)) % 0.38/0.62 (define @t136 () (not @t82)) % 0.38/0.62 (define @t137 () (or @t136 @t135)) % 0.38/0.62 (define @t138 () (tptp.aScalar0 @t94)) % 0.38/0.62 (define @t139 () (not @t135)) % 0.38/0.62 (define @t140 () (or @t136 @t139 @t138)) % 0.38/0.62 (define @t141 () (tptp.aScalar0 @t95)) % 0.38/0.62 (define @t142 () (not @t138)) % 0.38/0.62 (define @t143 () (or @t142 @t142 @t141)) % 0.38/0.62 (define @t144 () (tptp.sdtpldt0 @t107 @t95)) % 0.38/0.62 (define @t145 () (tptp.sdtpldt0 tptp.sz0z00 tptp.sz0z00)) % 0.38/0.62 (define @t146 () (tptp.sdtlseqdt0 @t145 @t144)) % 0.38/0.62 (define @t147 () (not @t96)) % 0.38/0.62 (define @t148 () (not @t130)) % 0.38/0.62 (define @t149 () (not @t141)) % 0.38/0.62 (define @t150 () (not @t15)) % 0.38/0.62 (define @t151 () (not @t114)) % 0.38/0.62 (define @t152 () (or @t150 @t151 @t150 @t149 @t148 @t147 @t146)) % 0.38/0.62 (define @t153 () (= tptp.sz00 @t65)) % 0.38/0.62 (define @t154 () (or @t110 @t109 @t108 @t153 @t78)) % 0.38/0.62 (define @t155 () (or @t108 @t153 @t78)) % 0.38/0.62 (define @t156 () (not @t153)) % 0.38/0.62 (define @t157 () (and @t71 @t156)) % 0.38/0.62 (define @t158 () (=> @t157 @t78)) % 0.38/0.62 (define @t159 () (= @t97 @t144)) % 0.38/0.62 (define @t160 () (= tptp.sz00 @t84)) % 0.38/0.62 (define @t161 () (or @t136 @t160 @t159)) % 0.38/0.62 (define @t162 () (not (= @t84 @t84))) % 0.38/0.62 (define @t163 () (or @t136 @t136 @t162 @t160 @t159)) % 0.38/0.62 (define @t164 () (forall @t11 @t154)) % 0.38/0.62 (define @t165 () (= tptp.sz0z00 @t23)) % 0.38/0.62 (define @t166 () (and (= @t1 @t30) (= @t1 @t29) (= tptp.sz0z00 @t28) (= tptp.sz0z00 @t27) (= tptp.sz0z00 @t26) (= tptp.sz0z00 @t25) (= @t1 @t24) @t165)) % 0.38/0.62 (define @t167 () (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.sz0z00))) % 0.38/0.62 (define @t168 () (= tptp.sz0z00 @t145)) % 0.38/0.62 (define @t169 () (and @t168 @t168 @t167 @t167 (= tptp.sz0z00 (tptp.sdtpldt0 tptp.sz0z00 @t23)) (= tptp.sz0z00 (tptp.sdtpldt0 @t23 tptp.sz0z00)) (= tptp.sz0z00 (tptp.smndt0 @t23)) @t165)) % 0.38/0.62 (define @t170 () (or @t150 @t169)) % 0.38/0.62 (assume @p1 (forall @t3 (=> @t2 true))) % 0.38/0.62 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.38/0.62 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.38/0.62 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 0.38/0.62 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 0.38/0.62 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.38/0.62 (assume @p7 @t13) % 0.38/0.62 (assume @p8 (forall @t3 (=> @t14 true))) % 0.38/0.62 (assume @p9 @t15) % 0.38/0.62 (assume @p10 (forall @t11 (=> @t18 (tptp.aScalar0 @t16)))) % 0.38/0.62 (assume @p11 @t21) % 0.38/0.62 (assume @p12 (forall @t3 (=> @t14 (tptp.aScalar0 @t22)))) % 0.38/0.62 (assume @p13 @t33) % 0.38/0.62 (assume @p14 (forall @t39 (=> @t38 (and (= (tptp.sdtpldt0 @t16 @t34) (tptp.sdtpldt0 @t1 @t36)) (= @t16 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t19 @t34) (tptp.sdtasdt0 @t1 @t35)) (= @t19 (tptp.sdtasdt0 @t5 @t1)))))) % 0.38/0.62 (assume @p15 (forall @t39 (=> @t38 (and (= (tptp.sdtasdt0 @t1 @t36) (tptp.sdtpldt0 @t19 @t40)) (= (tptp.sdtasdt0 @t16 @t34) (tptp.sdtpldt0 @t40 @t35)))))) % 0.38/0.62 (assume @p16 (forall @t45 (=> @t44 (= (tptp.sdtasdt0 @t16 (tptp.sdtpldt0 @t34 @t41)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t40 (tptp.sdtasdt0 @t1 @t41)) (tptp.sdtpldt0 @t35 @t42)))))) % 0.38/0.62 (assume @p17 (forall @t11 (=> @t18 (and (= (tptp.sdtasdt0 @t1 @t47) @t46) (= (tptp.sdtasdt0 @t22 @t5) @t46))))) % 0.38/0.62 (assume @p18 (forall @t11 (=> @t18 (= (tptp.sdtasdt0 @t22 @t47) @t19)))) % 0.38/0.62 (assume @p19 (forall @t11 (=> @t18 (=> @t48 true)))) % 0.38/0.62 (assume @p20 (forall @t3 (=> @t14 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.38/0.62 (assume @p21 (forall @t11 (=> @t18 (=> (and @t48 @t49) @t9)))) % 0.38/0.62 (assume @p22 (forall @t39 (=> @t38 (=> (and @t48 (tptp.sdtlseqdt0 @t5 @t34)) (tptp.sdtlseqdt0 @t1 @t34))))) % 0.38/0.62 (assume @p23 @t54) % 0.38/0.62 (assume @p24 (forall @t45 (=> @t44 (=> (and @t48 (tptp.sdtlseqdt0 tptp.sz0z00 @t34) @t51) (tptp.sdtlseqdt0 @t40 @t42))))) % 0.38/0.62 (assume @p25 (forall @t11 (=> @t18 (or @t48 @t49)))) % 0.38/0.62 (assume @p26 (forall @t11 (=> @t18 (=> (and @t56 @t55) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t16) (tptp.sdtlseqdt0 tptp.sz0z00 @t19)))))) % 0.38/0.62 (assume @p27 (forall @t3 (=> @t14 (tptp.sdtlseqdt0 tptp.sz0z00 @t57)))) % 0.38/0.62 (assume @p28 (forall @t11 (=> @t18 (=> (and @t56 @t55 (= @t57 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 0.38/0.62 (assume @p29 (forall @t3 (=> @t58 true))) % 0.38/0.62 (assume @p30 @t61) % 0.38/0.62 (assume @p31 @t64) % 0.38/0.62 (assume @p32 (forall @t3 (=> @t58 (=> (not (= @t59 tptp.sz00)) (forall @t8 (= (= @t5 @t67) (and @t66 (= (tptp.szszuzczcdt0 @t65) @t59) (forall (@list @t34) (=> (tptp.aNaturalNumber0 @t34) (= (tptp.sdtlbdtrb0 @t5 @t34) (tptp.sdtlbdtrb0 @t1 @t34))))))))))) % 0.38/0.62 (assume @p33 (forall @t11 (=> @t73 (=> @t72 (= (tptp.aDimensionOf0 @t67) (tptp.aDimensionOf0 @t68)))))) % 0.38/0.62 (assume @p34 @t77) % 0.38/0.62 (assume @p35 (forall @t11 (=> @t73 (=> (and @t71 @t69) (= @t74 tptp.sz0z00))))) % 0.38/0.62 (assume @p36 @t81) % 0.38/0.62 (assume @p37 @t82) % 0.38/0.62 (assume @p38 @t87) % 0.38/0.62 (assume @p39 (not (= @t84 tptp.sz00))) % 0.38/0.62 (assume @p40 (and @t93 @t92 @t89 @t93 @t92 @t89)) % 0.38/0.62 (assume @p41 (and @t93 @t92 @t89 @t93 @t92 @t89 @t96)) % 0.38/0.62 (assume @p42 (not @t98)) % 0.38/0.62 (assume @p43 true) % 0.38/0.62 (step @p44 :rule evaluate :args ((= false true))) % 0.38/0.62 (step @p45 :rule aci_norm :args ((= (or @t106 @t105) (or @t104 @t103 @t102 @t101 @t100 @t99 @t50)))) % 0.38/0.62 (step @p46 :rule aci_norm :args ((= (or (or @t100 @t99) @t50) @t105))) % 0.38/0.62 (step @p47 :rule refl :args (@t50)) % 0.38/0.62 (step @p48 :rule bool-and-de-morgan :args (@t48 @t51 true)) % 0.38/0.62 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or (not @t52) @t50))) % 0.38/0.62 (step @p50 :rule trans :premises (@p49 @p46)) % 0.38/0.62 (step @p51 :rule bool-impl-elim :args (@t52 @t50)) % 0.38/0.62 (step @p52 :rule trans :premises (@p51 @p50)) % 0.38/0.62 (step @p53 :rule aci_norm :args ((= (or @t104 (or @t103 (or @t102 @t101))) @t106))) % 0.38/0.62 (step @p54 :rule bool-and-de-morgan :args (@t37 @t43 true)) % 0.38/0.62 (step @p55 :rule refl :args (@t103)) % 0.38/0.62 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t103 (not (and @t37 @t43))))) % 0.38/0.62 (step @p57 :rule bool-and-de-morgan :args (@t17 @t37 (and @t43))) % 0.38/0.62 (step @p58 :rule trans :premises (@p57 @p56)) % 0.38/0.62 (step @p59 :rule refl :args (@t104)) % 0.38/0.62 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t104 (not (and @t17 @t37 @t43))))) % 0.38/0.62 (step @p61 :rule bool-and-de-morgan :args (@t14 @t17 (and @t37 @t43))) % 0.38/0.62 (step @p62 :rule trans :premises (@p61 @p60)) % 0.38/0.62 (step @p63 :rule trans :premises (@p62 @p53)) % 0.38/0.62 (step @p64 :rule nary_cong :premises (@p63 @p52) :args ((or (not @t44) @t53))) % 0.38/0.62 (step @p65 :rule trans :premises (@p64 @p45)) % 0.38/0.62 (step @p66 :rule bool-impl-elim :args (@t44 @t53)) % 0.38/0.62 (step @p67 :rule trans :premises (@p66 @p65)) % 0.38/0.62 (step @p68 :rule cong :premises (@p67) :args (@t54)) % 0.38/0.62 (step @p69 :rule eq_resolve :premises (@p23 @p68)) % 0.38/0.62 (step @p70 :rule instantiate :premises (@p69) :args ((@list tptp.sz0z00 @t107 tptp.sz0z00 @t95))) % 0.38/0.62 (step @p71 :rule aci_norm :args ((= (or @t112 (or @t108 @t75)) @t111))) % 0.38/0.62 (step @p72 :rule bool-impl-elim :args (@t71 @t75)) % 0.38/0.62 (step @p73 :rule bool-and-de-morgan :args (@t58 @t66 true)) % 0.38/0.62 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t113 @t76))) % 0.38/0.62 (step @p75 :rule trans :premises (@p74 @p71)) % 0.38/0.62 (step @p76 :rule bool-impl-elim :args (@t73 @t76)) % 0.38/0.62 (step @p77 :rule trans :premises (@p76 @p75)) % 0.38/0.62 (step @p78 :rule cong :premises (@p77) :args (@t77)) % 0.38/0.62 (step @p79 :rule eq_resolve :premises (@p34 @p78)) % 0.38/0.62 (step @p80 :rule aci_norm :args ((= (or @t115 @t115 false @t114) @t116))) % 0.38/0.62 (step @p81 :rule refl :args (@t114)) % 0.38/0.62 (step @p82 :rule evaluate :args ((not true))) % 0.38/0.62 (step @p83 :rule eq-refl :args (@t90)) % 0.38/0.62 (step @p84 :rule cong :premises (@p83) :args (@t117)) % 0.38/0.62 (step @p85 :rule trans :premises (@p84 @p82)) % 0.38/0.62 (step @p86 :rule refl :args (@t115)) % 0.38/0.62 (step @p87 :rule nary_cong :premises (@p86 @p86 @p85 @p81) :args (@t118)) % 0.38/0.62 (step @p88 :rule trans :premises (@p87 @p80)) % 0.38/0.62 (step @p89 :rule refl :args (@t119)) % 0.38/0.62 (step @p90 :rule cong :premises (@p89 @p88) :args ((=> @t119 @t118))) % 0.38/0.62 (assume-push @p251 @t119) % 0.38/0.62 (step @p92 :rule instantiate :premises (@p79) :args ((@list @t88 @t88))) % 0.38/0.62 (step-pop @p252 :rule scope :premises (@p92)) % 0.38/0.62 (step @p93 :rule process_scope :premises (@p252) :args (@t118)) % 0.38/0.62 (step @p95 :rule eq_resolve :premises (@p93 @p90)) % 0.38/0.62 (step @p96 :rule implies_elim :premises (@p95)) % 0.38/0.62 (step @p97 :rule chain_m_resolution :premises (@p96 @p79) :args (@t116 @t120 (@list @t119))) % 0.38/0.62 (step @p98 :rule and_elim :premises (@p40) :args (3)) % 0.38/0.62 (step @p99 :rule cnf_or_pos :args (@t116)) % 0.38/0.62 (step @p100 :rule reordering :premises (@p99) :args ((or @t115 @t114 (not @t116)))) % 0.38/0.62 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p97) :args (@t114 @t121 (@list @t93 @t116))) % 0.38/0.62 (step @p102 :rule aci_norm :args ((= (or @t110 (or @t122 @t83)) (or @t110 @t122 @t83)))) % 0.38/0.62 (step @p103 :rule bool-impl-elim :args (@t85 @t83)) % 0.38/0.62 (step @p104 :rule refl :args (@t110)) % 0.38/0.62 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t110 @t86))) % 0.38/0.62 (step @p106 :rule trans :premises (@p105 @p102)) % 0.38/0.62 (step @p107 :rule bool-impl-elim :args (@t58 @t86)) % 0.38/0.62 (step @p108 :rule trans :premises (@p107 @p106)) % 0.38/0.62 (step @p109 :rule cong :premises (@p108) :args (@t87)) % 0.38/0.62 (step @p110 :rule eq_resolve :premises (@p38 @p109)) % 0.38/0.62 (step @p111 :rule instantiate :premises (@p110) :args (@t123)) % 0.38/0.62 (step @p112 :rule bool-impl-elim :args (@t2 @t12)) % 0.38/0.62 (step @p113 :rule cong :premises (@p112) :args (@t13)) % 0.38/0.62 (step @p114 :rule eq_resolve :premises (@p7 @p113)) % 0.38/0.62 (step @p115 :rule instantiate :premises (@p114) :args ((@list @t90))) % 0.38/0.62 (step @p116 :rule bool-impl-elim :args (@t58 @t60)) % 0.38/0.62 (step @p117 :rule cong :premises (@p116) :args (@t61)) % 0.38/0.62 (step @p118 :rule eq_resolve :premises (@p30 @p117)) % 0.38/0.62 (step @p119 :rule instantiate :premises (@p118) :args (@t123)) % 0.38/0.62 (step @p120 :rule cnf_or_pos :args (@t125)) % 0.38/0.62 (step @p121 :rule reordering :premises (@p120) :args ((or @t115 @t124 (not @t125)))) % 0.38/0.62 (step @p122 :rule chain_m_resolution :premises (@p121 @p98 @p119) :args (@t124 @t121 (@list @t93 @t125))) % 0.38/0.62 (step @p123 :rule cnf_or_pos :args (@t128)) % 0.38/0.62 (step @p124 :rule reordering :premises (@p123) :args ((or @t127 @t126 (not @t128)))) % 0.38/0.62 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p115) :args (@t126 @t121 (@list @t124 @t128))) % 0.38/0.62 (step @p126 :rule true_intro :premises (@p125)) % 0.38/0.62 (step @p127 :rule and_elim :premises (@p40) :args (4)) % 0.38/0.62 (step @p128 :rule symm :premises (@p127)) % 0.38/0.62 (step @p129 :rule refl :args (@t90)) % 0.38/0.62 (step @p130 :rule cong :premises (@p129 @p128) :args (@t129)) % 0.38/0.62 (step @p131 :rule trans :premises (@p130 @p126)) % 0.38/0.62 (step @p132 :rule true_elim :premises (@p131)) % 0.38/0.62 (step @p133 :rule cnf_or_pos :args (@t132)) % 0.38/0.62 (step @p134 :rule reordering :premises (@p133) :args ((or @t115 @t131 @t130 (not @t132)))) % 0.38/0.62 (step @p135 :rule chain_m_resolution :premises (@p134 @p98 @p132 @p111) :args (@t130 @t133 (@list @t93 @t129 @t132))) % 0.38/0.62 (step @p136 :rule aci_norm :args ((= (or (or @t104 @t103) @t20) (or @t104 @t103 @t20)))) % 0.38/0.62 (step @p137 :rule refl :args (@t20)) % 0.38/0.62 (step @p138 :rule bool-and-de-morgan :args (@t14 @t17 true)) % 0.38/0.62 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or (not @t18) @t20))) % 0.38/0.62 (step @p140 :rule trans :premises (@p139 @p136)) % 0.38/0.62 (step @p141 :rule bool-impl-elim :args (@t18 @t20)) % 0.38/0.62 (step @p142 :rule trans :premises (@p141 @p140)) % 0.38/0.62 (step @p143 :rule cong :premises (@p142) :args (@t21)) % 0.38/0.62 (step @p144 :rule eq_resolve :premises (@p11 @p143)) % 0.38/0.62 (step @p145 :rule instantiate :premises (@p144) :args ((@list @t94 @t94))) % 0.38/0.62 (step @p146 :rule aci_norm :args ((= (or (or @t110 @t134) @t62) (or @t110 @t134 @t62)))) % 0.38/0.62 (step @p147 :rule refl :args (@t62)) % 0.38/0.62 (step @p148 :rule bool-and-de-morgan :args (@t58 @t7 true)) % 0.38/0.62 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or (not @t63) @t62))) % 0.38/0.62 (step @p150 :rule trans :premises (@p149 @p146)) % 0.38/0.62 (step @p151 :rule bool-impl-elim :args (@t63 @t62)) % 0.38/0.62 (step @p152 :rule trans :premises (@p151 @p150)) % 0.38/0.62 (step @p153 :rule cong :premises (@p152) :args (@t64)) % 0.38/0.62 (step @p154 :rule eq_resolve :premises (@p31 @p153)) % 0.38/0.62 (step @p155 :rule instantiate :premises (@p154) :args ((@list tptp.xs @t84))) % 0.38/0.62 (step @p156 :rule instantiate :premises (@p118) :args ((@list tptp.xs))) % 0.38/0.62 (step @p157 :rule cnf_or_pos :args (@t137)) % 0.38/0.62 (step @p158 :rule reordering :premises (@p157) :args ((or @t136 @t135 (not @t137)))) % 0.38/0.62 (step @p159 :rule chain_m_resolution :premises (@p158 @p37 @p156) :args (@t135 @t121 (@list @t82 @t137))) % 0.38/0.62 (step @p160 :rule cnf_or_pos :args (@t140)) % 0.38/0.62 (step @p161 :rule reordering :premises (@p160) :args ((or @t136 @t138 @t139 (not @t140)))) % 0.38/0.62 (step @p162 :rule chain_m_resolution :premises (@p161 @p37 @p159 @p155) :args (@t138 @t133 (@list @t82 @t135 @t140))) % 0.38/0.62 (step @p163 :rule cnf_or_pos :args (@t143)) % 0.38/0.62 (step @p164 :rule factoring :premises (@p163)) % 0.38/0.62 (step @p165 :rule reordering :premises (@p164) :args ((or @t142 @t141 (not @t143)))) % 0.38/0.62 (step @p166 :rule chain_m_resolution :premises (@p165 @p162 @p145) :args (@t141 @t121 (@list @t138 @t143))) % 0.38/0.62 (step @p167 :rule and_elim :premises (@p41) :args (6)) % 0.38/0.62 (step @p168 :rule cnf_or_pos :args (@t152)) % 0.38/0.62 (step @p169 :rule factoring :premises (@p168)) % 0.38/0.62 (step @p170 :rule reordering :premises (@p169) :args ((or @t150 @t147 @t149 @t148 @t151 @t146 (not @t152)))) % 0.38/0.62 (step @p171 :rule chain_m_resolution :premises (@p170 @p9 @p167 @p166 @p135 @p101 @p70) :args (@t146 (@list false false false false false false) (@list @t15 @t96 @t141 @t130 @t114 @t152))) % 0.38/0.62 (step @p172 :rule true_intro :premises (@p171)) % 0.38/0.62 (step @p173 :rule aci_norm :args ((= (or @t112 @t155) @t154))) % 0.38/0.62 (step @p174 :rule aci_norm :args ((= (or (or @t108 @t153) @t78) @t155))) % 0.38/0.62 (step @p175 :rule refl :args (@t78)) % 0.38/0.62 (step @p176 :rule bool-double-not-elim :args (@t153)) % 0.38/0.62 (step @p177 :rule refl :args (@t108)) % 0.38/0.62 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((or @t108 (not @t156)))) % 0.38/0.62 (step @p179 :rule bool-and-de-morgan :args (@t71 @t156 true)) % 0.38/0.62 (step @p180 :rule trans :premises (@p179 @p178)) % 0.38/0.62 (step @p181 :rule nary_cong :premises (@p180 @p175) :args ((or (not @t157) @t78))) % 0.38/0.62 (step @p182 :rule trans :premises (@p181 @p174)) % 0.38/0.62 (step @p183 :rule bool-impl-elim :args (@t157 @t78)) % 0.38/0.62 (step @p184 :rule trans :premises (@p183 @p182)) % 0.38/0.62 (step @p185 :rule nary_cong :premises (@p73 @p184) :args ((or @t113 @t158))) % 0.38/0.62 (step @p186 :rule trans :premises (@p185 @p173)) % 0.38/0.62 (step @p187 :rule bool-impl-elim :args (@t73 @t158)) % 0.38/0.62 (step @p188 :rule trans :premises (@p187 @p186)) % 0.38/0.62 (step @p189 :rule cong :premises (@p188) :args ((forall @t11 (=> @t73 @t158)))) % 0.38/0.62 (step @p190 :rule refl :args (@t78)) % 0.38/0.62 (step @p191 :rule eq-symm :args (@t65 tptp.sz00)) % 0.38/0.62 (step @p192 :rule cong :premises (@p191) :args (@t70)) % 0.38/0.62 (step @p193 :rule refl :args (@t71)) % 0.38/0.62 (step @p194 :rule nary_cong :premises (@p193 @p192) :args (@t72)) % 0.38/0.62 (step @p195 :rule cong :premises (@p194 @p190) :args (@t79)) % 0.38/0.62 (step @p196 :rule refl :args (@t73)) % 0.38/0.62 (step @p197 :rule cong :premises (@p196 @p195) :args (@t80)) % 0.38/0.62 (step @p198 :rule cong :premises (@p197) :args (@t81)) % 0.38/0.62 (step @p199 :rule trans :premises (@p198 @p189)) % 0.38/0.62 (step @p200 :rule eq_resolve :premises (@p36 @p199)) % 0.38/0.62 (step @p201 :rule aci_norm :args ((= (or @t136 @t136 false @t160 @t159) @t161))) % 0.38/0.62 (step @p202 :rule refl :args (@t159)) % 0.38/0.62 (step @p203 :rule refl :args (@t160)) % 0.38/0.62 (step @p204 :rule eq-refl :args (@t84)) % 0.38/0.62 (step @p205 :rule cong :premises (@p204) :args (@t162)) % 0.38/0.62 (step @p206 :rule trans :premises (@p205 @p82)) % 0.38/0.62 (step @p207 :rule refl :args (@t136)) % 0.38/0.62 (step @p208 :rule nary_cong :premises (@p207 @p207 @p206 @p203 @p202) :args (@t163)) % 0.38/0.62 (step @p209 :rule trans :premises (@p208 @p201)) % 0.38/0.62 (step @p210 :rule refl :args (@t164)) % 0.38/0.62 (step @p211 :rule cong :premises (@p210 @p209) :args ((=> @t164 @t163))) % 0.38/0.62 (assume-push @p253 @t164) % 0.38/0.62 (step @p213 :rule instantiate :premises (@p200) :args ((@list tptp.xs tptp.xs))) % 0.38/0.62 (step-pop @p254 :rule scope :premises (@p213)) % 0.38/0.62 (step @p214 :rule process_scope :premises (@p254) :args (@t163)) % 0.38/0.62 (step @p216 :rule eq_resolve :premises (@p214 @p211)) % 0.38/0.62 (step @p217 :rule implies_elim :premises (@p216)) % 0.38/0.62 (step @p218 :rule chain_m_resolution :premises (@p217 @p200) :args (@t161 @t120 (@list @t164))) % 0.38/0.62 (step @p219 :rule symm :premises (@p39)) % 0.38/0.62 (step @p220 :rule cnf_or_pos :args (@t161)) % 0.38/0.62 (step @p221 :rule reordering :premises (@p220) :args ((or @t160 @t136 @t159 (not @t161)))) % 0.38/0.62 (step @p222 :rule chain_m_resolution :premises (@p221 @p219 @p37 @p218) :args (@t159 (@list true false false) (@list @t160 @t82 @t161))) % 0.38/0.62 (step @p223 :rule bool-impl-elim :args (@t14 @t166)) % 0.38/0.62 (step @p224 :rule cong :premises (@p223) :args ((forall @t3 (=> @t14 @t166)))) % 0.38/0.62 (step @p225 :rule eq-symm :args (@t23 tptp.sz0z00)) % 0.38/0.62 (step @p226 :rule eq-symm :args (@t24 @t1)) % 0.38/0.62 (step @p227 :rule eq-symm :args (@t25 tptp.sz0z00)) % 0.38/0.62 (step @p228 :rule eq-symm :args (@t26 tptp.sz0z00)) % 0.38/0.62 (step @p229 :rule eq-symm :args (@t27 tptp.sz0z00)) % 0.38/0.62 (step @p230 :rule eq-symm :args (@t28 tptp.sz0z00)) % 0.38/0.62 (step @p231 :rule eq-symm :args (@t29 @t1)) % 0.38/0.62 (step @p232 :rule eq-symm :args (@t30 @t1)) % 0.38/0.62 (step @p233 :rule nary_cong :premises (@p232 @p231 @p230 @p229 @p228 @p227 @p226 @p225) :args (@t31)) % 0.38/0.62 (step @p234 :rule refl :args (@t14)) % 0.38/0.62 (step @p235 :rule cong :premises (@p234 @p233) :args (@t32)) % 0.38/0.62 (step @p236 :rule cong :premises (@p235) :args (@t33)) % 0.38/0.62 (step @p237 :rule trans :premises (@p236 @p224)) % 0.38/0.62 (step @p238 :rule eq_resolve :premises (@p13 @p237)) % 0.38/0.62 (step @p239 :rule instantiate :premises (@p238) :args ((@list tptp.sz0z00))) % 0.38/0.62 (step @p240 :rule cnf_or_pos :args (@t170)) % 0.38/0.62 (step @p241 :rule reordering :premises (@p240) :args ((or @t150 @t169 (not @t170)))) % 0.38/0.62 (step @p242 :rule chain_m_resolution :premises (@p241 @p9 @p239) :args (@t169 @t121 (@list @t15 @t170))) % 0.38/0.62 (step @p243 :rule cnf_and_pos :args (@t169 0)) % 0.38/0.62 (step @p244 :rule reordering :premises (@p243) :args ((or @t168 (not @t169)))) % 0.38/0.62 (step @p245 :rule chain_m_resolution :premises (@p244 @p242) :args (@t168 @t120 (@list @t169))) % 0.38/0.62 (step @p246 :rule cong :premises (@p245 @p222) :args (@t98)) % 0.38/0.62 (step @p247 :rule false_intro :premises (@p42)) % 0.38/0.62 (step @p248 :rule symm :premises (@p247)) % 0.38/0.62 (step @p249 :rule trans :premises (@p248 @p246 @p172)) % 0.38/0.62 (step @p250 false :rule eq_resolve :premises (@p249 @p44)) % 0.38/0.62 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------