%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG090+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 : n021.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 08:45:38 AM UTC 2026 % Result : Theorem 0.46s 0.66s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG090+1 : 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 % 0.19/0.35 % Computer : n021.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 14:07:50 EDT 2026 % 0.19/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.66 % SZS status Theorem % 0.46/0.66 % SZS output start Proof % 0.46/0.66 ( % 0.46/0.66 (declare-sort $$unsorted 0) % 0.46/0.66 (declare-const tptp.xm $$unsorted) % 0.46/0.66 (declare-const tptp.xk $$unsorted) % 0.46/0.66 (declare-const tptp.xx $$unsorted) % 0.46/0.66 (declare-const tptp.xy $$unsorted) % 0.46/0.66 (declare-const tptp.xn $$unsorted) % 0.46/0.66 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.sz00 $$unsorted) % 0.46/0.66 (declare-const tptp.xI $$unsorted) % 0.46/0.66 (declare-const tptp.sz10 $$unsorted) % 0.46/0.66 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.xl $$unsorted) % 0.46/0.66 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.xz $$unsorted) % 0.46/0.66 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.xJ $$unsorted) % 0.46/0.66 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (define @t1 () (@var "W0" $$unsorted)) % 0.46/0.66 (define @t2 () (tptp.aElement0 @t1)) % 0.46/0.66 (define @t3 () (@list @t1)) % 0.46/0.66 (define @t4 () (tptp.smndt0 @t1)) % 0.46/0.66 (define @t5 () (@var "W1" $$unsorted)) % 0.46/0.66 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.46/0.66 (define @t7 () (tptp.aElement0 @t6)) % 0.46/0.66 (define @t8 () (tptp.aElement0 @t5)) % 0.46/0.66 (define @t9 () (and @t2 @t8)) % 0.46/0.66 (define @t10 () (@list @t1 @t5)) % 0.46/0.66 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.46/0.66 (define @t12 () (tptp.sdtasdt0 @t1 @t5)) % 0.46/0.66 (define @t13 () (= @t6 (tptp.sdtpldt0 @t5 @t1))) % 0.46/0.66 (define @t14 () (forall @t10 (=> @t9 @t13))) % 0.46/0.66 (define @t15 () (@var "W2" $$unsorted)) % 0.46/0.66 (define @t16 () (tptp.sdtpldt0 @t5 @t15)) % 0.46/0.66 (define @t17 () (= (tptp.sdtpldt0 @t6 @t15) (tptp.sdtpldt0 @t1 @t16))) % 0.46/0.66 (define @t18 () (tptp.aElement0 @t15)) % 0.46/0.66 (define @t19 () (and @t2 @t8 @t18)) % 0.46/0.66 (define @t20 () (@list @t1 @t5 @t15)) % 0.46/0.66 (define @t21 () (forall @t20 (=> @t19 @t17))) % 0.46/0.66 (define @t22 () (tptp.sdtasdt0 @t5 @t1)) % 0.46/0.66 (define @t23 () (tptp.smndt0 tptp.sz10)) % 0.46/0.66 (define @t24 () (tptp.aSet0 @t1)) % 0.46/0.66 (define @t25 () (tptp.aElementOf0 @t5 @t1)) % 0.46/0.66 (define @t26 () (@list @t5)) % 0.46/0.66 (define @t27 () (forall @t26 (=> @t25 @t8))) % 0.46/0.66 (define @t28 () (=> @t24 @t27)) % 0.46/0.66 (define @t29 () (forall @t3 @t28)) % 0.46/0.66 (define @t30 () (tptp.aElementOf0 @t15 @t1)) % 0.46/0.66 (define @t31 () (tptp.aElementOf0 @t15 @t5)) % 0.46/0.66 (define @t32 () (@list @t15)) % 0.46/0.66 (define @t33 () (and @t24 (tptp.aSet0 @t5))) % 0.46/0.66 (define @t34 () (@var "W3" $$unsorted)) % 0.46/0.66 (define @t35 () (@var "W5" $$unsorted)) % 0.46/0.66 (define @t36 () (@var "W4" $$unsorted)) % 0.46/0.66 (define @t37 () (tptp.aElementOf0 @t34 @t15)) % 0.46/0.66 (define @t38 () (@list @t34)) % 0.46/0.66 (define @t39 () (tptp.aSet0 @t15)) % 0.46/0.66 (define @t40 () (tptp.aElementOf0 (tptp.sdtasdt0 @t15 @t5) @t1)) % 0.46/0.66 (define @t41 () (forall @t32 (=> @t18 @t40))) % 0.46/0.66 (define @t42 () (tptp.aElementOf0 @t16 @t1)) % 0.46/0.66 (define @t43 () (forall @t32 (=> @t30 @t42))) % 0.46/0.66 (define @t44 () (and @t43 @t41)) % 0.46/0.66 (define @t45 () (=> @t25 @t44)) % 0.46/0.66 (define @t46 () (forall @t26 @t45)) % 0.46/0.66 (define @t47 () (and @t24 @t46)) % 0.46/0.66 (define @t48 () (tptp.aIdeal0 @t1)) % 0.46/0.66 (define @t49 () (= @t48 @t47)) % 0.46/0.66 (define @t50 () (forall @t3 @t49)) % 0.46/0.66 (define @t51 () (tptp.aIdeal0 tptp.xJ)) % 0.46/0.66 (define @t52 () (tptp.aIdeal0 tptp.xI)) % 0.46/0.66 (define @t53 () (tptp.sdtpldt1 tptp.xI tptp.xJ)) % 0.46/0.66 (define @t54 () (tptp.sdtpldt0 tptp.xk tptp.xl)) % 0.46/0.66 (define @t55 () (= tptp.xx @t54)) % 0.46/0.66 (define @t56 () (tptp.aElementOf0 tptp.xl tptp.xJ)) % 0.46/0.66 (define @t57 () (tptp.aElementOf0 tptp.xk tptp.xI)) % 0.46/0.66 (define @t58 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 0.46/0.66 (define @t59 () (= tptp.xy @t58)) % 0.46/0.66 (define @t60 () (tptp.aElementOf0 tptp.xn tptp.xJ)) % 0.46/0.66 (define @t61 () (tptp.aElementOf0 tptp.xm tptp.xI)) % 0.46/0.66 (define @t62 () (tptp.sdtpldt0 tptp.xl tptp.xn)) % 0.46/0.66 (define @t63 () (tptp.sdtpldt0 tptp.xk tptp.xm)) % 0.46/0.66 (define @t64 () (tptp.aElementOf0 @t63 tptp.xI)) % 0.46/0.66 (define @t65 () (tptp.sdtpldt0 @t63 @t62)) % 0.46/0.66 (define @t66 () (tptp.sdtpldt0 tptp.xx tptp.xy)) % 0.46/0.66 (define @t67 () (= @t66 @t65)) % 0.46/0.66 (define @t68 () (not @t8)) % 0.46/0.66 (define @t69 () (not @t2)) % 0.46/0.66 (define @t70 () (or @t69 @t68)) % 0.46/0.66 (define @t71 () (not @t9)) % 0.46/0.66 (define @t72 () (@list tptp.xk tptp.xl)) % 0.46/0.66 (define @t73 () (@var "BOUND_VARIABLE_7730" $$unsorted)) % 0.46/0.66 (define @t74 () (tptp.aElement0 @t73)) % 0.46/0.66 (define @t75 () (not (tptp.aElementOf0 @t73 @t1))) % 0.46/0.66 (define @t76 () (not @t24)) % 0.46/0.66 (define @t77 () (or @t75 @t74)) % 0.46/0.66 (define @t78 () (or @t76 @t77)) % 0.46/0.66 (define @t79 () (forall (@list @t1 @t73) @t78)) % 0.46/0.66 (define @t80 () (@list @t73)) % 0.46/0.66 (define @t81 () (forall @t80 @t78)) % 0.46/0.66 (define @t82 () (forall @t80 @t77)) % 0.46/0.66 (define @t83 () (or @t76 @t82)) % 0.46/0.66 (define @t84 () (not @t25)) % 0.46/0.66 (define @t85 () (forall @t26 (or @t84 @t8))) % 0.46/0.66 (define @t86 () (@var "BOUND_VARIABLE_7842" $$unsorted)) % 0.46/0.66 (define @t87 () (tptp.sdtasdt0 @t86 @t5)) % 0.46/0.66 (define @t88 () (not (tptp.aElement0 @t86))) % 0.46/0.66 (define @t89 () (or @t88 (tptp.aElementOf0 @t87 @t1))) % 0.46/0.66 (define @t90 () (@var "BOUND_VARIABLE_7835" $$unsorted)) % 0.46/0.66 (define @t91 () (tptp.sdtpldt0 @t5 @t90)) % 0.46/0.66 (define @t92 () (or (not (tptp.aElementOf0 @t90 @t1)) (tptp.aElementOf0 @t91 @t1))) % 0.46/0.66 (define @t93 () (and @t92 @t89)) % 0.46/0.66 (define @t94 () (or @t84 @t93)) % 0.46/0.66 (define @t95 () (@list @t5 @t90 @t86)) % 0.46/0.66 (define @t96 () (@list @t90 @t86)) % 0.46/0.66 (define @t97 () (forall @t96 @t94)) % 0.46/0.66 (define @t98 () (forall (@list @t86) @t89)) % 0.46/0.66 (define @t99 () (@list @t15)) % 0.46/0.66 (define @t100 () (forall @t96 @t89)) % 0.46/0.66 (define @t101 () (forall (@list @t90) @t92)) % 0.46/0.66 (define @t102 () (forall @t96 @t92)) % 0.46/0.66 (define @t103 () (and @t102 @t100)) % 0.46/0.66 (define @t104 () (forall @t96 @t93)) % 0.46/0.66 (define @t105 () (or @t84 @t104)) % 0.46/0.66 (define @t106 () (not @t18)) % 0.46/0.66 (define @t107 () (and (forall @t32 (or (not @t30) @t42)) (forall @t32 (or @t106 @t40)))) % 0.46/0.66 (define @t108 () (tptp.aSet0 tptp.xJ)) % 0.46/0.66 (define @t109 () (and @t108 (forall @t95 (or (not (tptp.aElementOf0 @t5 tptp.xJ)) (and (or (not (tptp.aElementOf0 @t90 tptp.xJ)) (tptp.aElementOf0 @t91 tptp.xJ)) (or @t88 (tptp.aElementOf0 @t87 tptp.xJ))))))) % 0.46/0.66 (define @t110 () (= @t51 @t109)) % 0.46/0.66 (define @t111 () (@list false false)) % 0.46/0.66 (define @t112 () (@list false)) % 0.46/0.66 (define @t113 () (tptp.aElement0 tptp.xl)) % 0.46/0.66 (define @t114 () (not @t56)) % 0.46/0.66 (define @t115 () (not @t108)) % 0.46/0.66 (define @t116 () (or @t115 @t114 @t113)) % 0.46/0.66 (define @t117 () (@list false false false)) % 0.46/0.66 (define @t118 () (tptp.aSet0 tptp.xI)) % 0.46/0.66 (define @t119 () (and @t118 (forall @t95 (or (not (tptp.aElementOf0 @t5 tptp.xI)) (and (or (not (tptp.aElementOf0 @t90 tptp.xI)) (tptp.aElementOf0 @t91 tptp.xI)) (or @t88 (tptp.aElementOf0 @t87 tptp.xI))))))) % 0.46/0.66 (define @t120 () (= @t52 @t119)) % 0.46/0.66 (define @t121 () (tptp.aElement0 tptp.xk)) % 0.46/0.66 (define @t122 () (not @t57)) % 0.46/0.66 (define @t123 () (not @t118)) % 0.46/0.66 (define @t124 () (or @t123 @t122 @t121)) % 0.46/0.66 (define @t125 () (tptp.sdtpldt0 tptp.xl tptp.xk)) % 0.46/0.66 (define @t126 () (= @t54 @t125)) % 0.46/0.66 (define @t127 () (not @t113)) % 0.46/0.66 (define @t128 () (not @t121)) % 0.46/0.66 (define @t129 () (or @t128 @t127 @t126)) % 0.46/0.66 (define @t130 () (or @t69 @t68 @t106 @t17)) % 0.46/0.66 (define @t131 () (or @t69 @t68 @t106)) % 0.46/0.66 (define @t132 () (tptp.sdtpldt0 @t63 tptp.xl)) % 0.46/0.66 (define @t133 () (tptp.sdtpldt0 @t132 tptp.xn)) % 0.46/0.66 (define @t134 () (tptp.aElement0 tptp.xn)) % 0.46/0.66 (define @t135 () (not @t134)) % 0.46/0.66 (define @t136 () (tptp.aElement0 @t63)) % 0.46/0.66 (define @t137 () (not @t136)) % 0.46/0.66 (define @t138 () (or @t137 @t127 @t135 (= @t133 @t65))) % 0.46/0.66 (define @t139 () (forall @t20 @t130)) % 0.46/0.66 (define @t140 () (= @t65 @t133)) % 0.46/0.66 (define @t141 () (or @t137 @t127 @t135 @t140)) % 0.46/0.66 (define @t142 () (@list @t139)) % 0.46/0.66 (define @t143 () (not @t64)) % 0.46/0.66 (define @t144 () (or @t123 @t143 @t136)) % 0.46/0.66 (define @t145 () (not @t60)) % 0.46/0.66 (define @t146 () (or @t115 @t145 @t134)) % 0.46/0.66 (define @t147 () (@list false false false false)) % 0.46/0.66 (define @t148 () (tptp.aElement0 tptp.xm)) % 0.46/0.66 (define @t149 () (not @t61)) % 0.46/0.66 (define @t150 () (or @t123 @t149 @t148)) % 0.46/0.66 (define @t151 () (tptp.aElement0 @t54)) % 0.46/0.66 (define @t152 () (or @t128 @t127 @t151)) % 0.46/0.66 (define @t153 () (tptp.aElement0 tptp.xx)) % 0.46/0.66 (define @t154 () (tptp.sdtpldt0 tptp.xx tptp.xm)) % 0.46/0.66 (define @t155 () (tptp.sdtpldt0 @t154 tptp.xn)) % 0.46/0.66 (define @t156 () (= @t155 (tptp.sdtpldt0 tptp.xx @t58))) % 0.46/0.66 (define @t157 () (not @t148)) % 0.46/0.66 (define @t158 () (not @t153)) % 0.46/0.66 (define @t159 () (or @t158 @t157 @t135 @t156)) % 0.46/0.66 (define @t160 () (tptp.sdtpldt0 tptp.xl @t63)) % 0.46/0.66 (define @t161 () (= @t132 @t160)) % 0.46/0.66 (define @t162 () (or @t137 @t127 @t161)) % 0.46/0.66 (define @t163 () (tptp.sdtpldt0 @t125 tptp.xm)) % 0.46/0.66 (define @t164 () (or @t127 @t128 @t157 (= @t163 @t160))) % 0.46/0.66 (define @t165 () (= @t160 @t163)) % 0.46/0.66 (define @t166 () (or @t127 @t128 @t157 @t165)) % 0.46/0.66 (define @t167 () (and @t55 @t59 @t126 @t140 @t156 @t161 @t165)) % 0.46/0.66 (assume @p1 (forall @t3 (=> @t2 true))) % 0.46/0.66 (assume @p2 (tptp.aElement0 tptp.sz00)) % 0.46/0.66 (assume @p3 (tptp.aElement0 tptp.sz10)) % 0.46/0.66 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t4)))) % 0.46/0.66 (assume @p5 @t11) % 0.46/0.66 (assume @p6 (forall @t10 (=> @t9 (tptp.aElement0 @t12)))) % 0.46/0.66 (assume @p7 @t14) % 0.46/0.66 (assume @p8 @t21) % 0.46/0.66 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.46/0.66 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 0.46/0.66 (assume @p11 (forall @t10 (=> @t9 (= @t12 @t22)))) % 0.46/0.66 (assume @p12 (forall @t20 (=> @t19 (= (tptp.sdtasdt0 @t12 @t15) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t15)))))) % 0.46/0.66 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.46/0.66 (assume @p14 (forall @t20 (=> @t19 (and (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtpldt0 @t12 (tptp.sdtasdt0 @t1 @t15))) (= (tptp.sdtasdt0 @t16 @t1) (tptp.sdtpldt0 @t22 (tptp.sdtasdt0 @t15 @t1))))))) % 0.46/0.66 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t23 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t23)))))) % 0.46/0.66 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.46/0.66 (assume @p17 (forall @t10 (=> @t9 (=> (= @t12 tptp.sz00) (or (= @t1 tptp.sz00) (= @t5 tptp.sz00)))))) % 0.46/0.66 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 0.46/0.66 (assume @p19 (forall @t3 (=> @t24 true))) % 0.46/0.66 (assume @p20 @t29) % 0.46/0.66 (assume @p21 (forall @t10 (=> @t33 (=> (and (forall @t32 (=> @t30 @t31)) (forall @t32 (=> @t31 @t30))) (= @t1 @t5))))) % 0.46/0.66 (assume @p22 (forall @t10 (=> @t33 (forall @t32 (= (= @t15 (tptp.sdtpldt1 @t1 @t5)) (and @t39 (forall @t38 (= @t37 (exists (@list @t36 @t35) (and (tptp.aElementOf0 @t36 @t1) (tptp.aElementOf0 @t35 @t5) (= (tptp.sdtpldt0 @t36 @t35) @t34))))))))))) % 0.46/0.66 (assume @p23 (forall @t10 (=> @t33 (forall @t32 (= (= @t15 (tptp.sdtasasdt0 @t1 @t5)) (and @t39 (forall @t38 (= @t37 (and (tptp.aElementOf0 @t34 @t1) (tptp.aElementOf0 @t34 @t5)))))))))) % 0.46/0.66 (assume @p24 @t50) % 0.46/0.66 (assume @p25 (and @t52 @t51)) % 0.46/0.66 (assume @p26 (and (tptp.aElementOf0 tptp.xx @t53) (tptp.aElementOf0 tptp.xy @t53) (tptp.aElement0 tptp.xz))) % 0.46/0.66 (assume @p27 (and @t57 @t56 @t55)) % 0.46/0.66 (assume @p28 (and @t61 @t60 @t59)) % 0.46/0.66 (assume @p29 (and @t64 (tptp.aElementOf0 @t62 tptp.xJ))) % 0.46/0.66 (assume @p30 (and (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ))) % 0.46/0.66 (assume @p31 (not @t67)) % 0.46/0.66 (assume @p32 true) % 0.46/0.66 (step @p33 :rule and_elim :premises (@p27) :args (2)) % 0.46/0.66 (step @p34 :rule and_elim :premises (@p28) :args (2)) % 0.46/0.66 (step @p35 :rule aci_norm :args ((= (or @t70 @t13) (or @t69 @t68 @t13)))) % 0.46/0.66 (step @p36 :rule refl :args (@t13)) % 0.46/0.66 (step @p37 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 0.46/0.66 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t71 @t13))) % 0.46/0.66 (step @p39 :rule trans :premises (@p38 @p35)) % 0.46/0.66 (step @p40 :rule bool-impl-elim :args (@t9 @t13)) % 0.46/0.66 (step @p41 :rule trans :premises (@p40 @p39)) % 0.46/0.66 (step @p42 :rule cong :premises (@p41) :args (@t14)) % 0.46/0.66 (step @p43 :rule eq_resolve :premises (@p7 @p42)) % 0.46/0.66 (step @p44 :rule instantiate :premises (@p43) :args (@t72)) % 0.46/0.66 (step @p45 :rule aci_norm :args ((= @t78 (or @t76 @t75 @t74)))) % 0.46/0.66 (step @p46 :rule cong :premises (@p45) :args (@t79)) % 0.46/0.66 (step @p47 :rule quant-merge-prenex :args ((= (forall @t3 @t81) @t79))) % 0.46/0.66 (step @p48 :rule alpha_equiv :args (@t82 (@list @t73) (@list @t5))) % 0.46/0.66 (step @p49 :rule refl :args (@t76)) % 0.46/0.66 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t83)) % 0.46/0.66 (step @p51 :rule quant-miniscope-or :args ((= @t81 @t83))) % 0.46/0.66 (step @p52 :rule trans :premises (@p51 @p50)) % 0.46/0.66 (step @p53 :rule symm :premises (@p52)) % 0.46/0.66 (step @p54 :rule cong :premises (@p53) :args ((forall @t3 (or @t76 @t85)))) % 0.46/0.66 (step @p55 :rule trans :premises (@p54 @p47)) % 0.46/0.66 (step @p56 :rule trans :premises (@p55 @p46)) % 0.46/0.66 (step @p57 :rule bool-impl-elim :args (@t24 @t85)) % 0.46/0.66 (step @p58 :rule cong :premises (@p57) :args ((forall @t3 (=> @t24 @t85)))) % 0.46/0.66 (step @p59 :rule trans :premises (@p58 @p56)) % 0.46/0.66 (step @p60 :rule bool-impl-elim :args (@t25 @t8)) % 0.46/0.66 (step @p61 :rule cong :premises (@p60) :args (@t27)) % 0.46/0.66 (step @p62 :rule refl :args (@t24)) % 0.46/0.66 (step @p63 :rule cong :premises (@p62 @p61) :args (@t28)) % 0.46/0.66 (step @p64 :rule cong :premises (@p63) :args (@t29)) % 0.46/0.66 (step @p65 :rule trans :premises (@p64 @p59)) % 0.46/0.66 (step @p66 :rule eq_resolve :premises (@p20 @p65)) % 0.46/0.66 (step @p67 :rule instantiate :premises (@p66) :args ((@list tptp.xJ tptp.xl))) % 0.46/0.66 (step @p68 :rule quant-merge-prenex :args ((= (forall @t26 @t97) (forall @t95 @t94)))) % 0.46/0.66 (step @p69 :rule alpha_equiv :args (@t98 (@list @t86) @t99)) % 0.46/0.66 (step @p70 :rule quant-unused-vars :args ((= @t100 @t98))) % 0.46/0.66 (step @p71 :rule trans :premises (@p70 @p69)) % 0.46/0.66 (step @p72 :rule alpha_equiv :args (@t101 (@list @t90) @t99)) % 0.46/0.66 (step @p73 :rule quant-unused-vars :args ((= @t102 @t101))) % 0.46/0.66 (step @p74 :rule trans :premises (@p73 @p72)) % 0.46/0.66 (step @p75 :rule nary_cong :premises (@p74 @p71) :args (@t103)) % 0.46/0.66 (step @p76 :rule quant-miniscope-and :args ((= @t104 @t103))) % 0.46/0.66 (step @p77 :rule trans :premises (@p76 @p75)) % 0.46/0.66 (step @p78 :rule refl :args (@t84)) % 0.46/0.66 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t105)) % 0.46/0.66 (step @p80 :rule quant-miniscope-or :args ((= @t97 @t105))) % 0.46/0.66 (step @p81 :rule trans :premises (@p80 @p79)) % 0.46/0.66 (step @p82 :rule symm :premises (@p81)) % 0.46/0.66 (step @p83 :rule cong :premises (@p82) :args ((forall @t26 (or @t84 @t107)))) % 0.46/0.66 (step @p84 :rule trans :premises (@p83 @p68)) % 0.46/0.66 (step @p85 :rule bool-impl-elim :args (@t25 @t107)) % 0.46/0.66 (step @p86 :rule cong :premises (@p85) :args ((forall @t26 (=> @t25 @t107)))) % 0.46/0.66 (step @p87 :rule trans :premises (@p86 @p84)) % 0.46/0.66 (step @p88 :rule bool-impl-elim :args (@t18 @t40)) % 0.46/0.66 (step @p89 :rule cong :premises (@p88) :args (@t41)) % 0.46/0.66 (step @p90 :rule bool-impl-elim :args (@t30 @t42)) % 0.46/0.66 (step @p91 :rule cong :premises (@p90) :args (@t43)) % 0.46/0.66 (step @p92 :rule nary_cong :premises (@p91 @p89) :args (@t44)) % 0.46/0.66 (step @p93 :rule refl :args (@t25)) % 0.46/0.66 (step @p94 :rule cong :premises (@p93 @p92) :args (@t45)) % 0.46/0.66 (step @p95 :rule cong :premises (@p94) :args (@t46)) % 0.46/0.66 (step @p96 :rule trans :premises (@p95 @p87)) % 0.46/0.66 (step @p97 :rule nary_cong :premises (@p62 @p96) :args (@t47)) % 0.46/0.66 (step @p98 :rule refl :args (@t48)) % 0.46/0.66 (step @p99 :rule cong :premises (@p98 @p97) :args (@t49)) % 0.46/0.66 (step @p100 :rule cong :premises (@p99) :args (@t50)) % 0.46/0.66 (step @p101 :rule eq_resolve :premises (@p24 @p100)) % 0.46/0.66 (step @p102 :rule instantiate :premises (@p101) :args ((@list tptp.xJ))) % 0.46/0.66 (step @p103 :rule and_elim :premises (@p25) :args (1)) % 0.46/0.66 (step @p104 :rule cnf_equiv_pos1 :args (@t110)) % 0.46/0.66 (step @p105 :rule reordering :premises (@p104) :args ((or (not @t51) @t109 (not @t110)))) % 0.46/0.66 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p102) :args (@t109 @t111 (@list @t51 @t110))) % 0.46/0.66 (step @p107 :rule cnf_and_pos :args (@t109 0)) % 0.46/0.66 (step @p108 :rule reordering :premises (@p107) :args ((or @t108 (not @t109)))) % 0.46/0.66 (step @p109 :rule chain_m_resolution :premises (@p108 @p106) :args (@t108 @t112 (@list @t109))) % 0.46/0.66 (step @p110 :rule and_elim :premises (@p27) :args (1)) % 0.46/0.66 (step @p111 :rule cnf_or_pos :args (@t116)) % 0.46/0.66 (step @p112 :rule reordering :premises (@p111) :args ((or @t114 @t113 @t115 (not @t116)))) % 0.46/0.66 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p109 @p67) :args (@t113 @t117 (@list @t56 @t108 @t116))) % 0.46/0.66 (step @p114 :rule instantiate :premises (@p66) :args ((@list tptp.xI tptp.xk))) % 0.46/0.66 (step @p115 :rule instantiate :premises (@p101) :args ((@list tptp.xI))) % 0.46/0.66 (step @p116 :rule and_elim :premises (@p25) :args (0)) % 0.46/0.66 (step @p117 :rule cnf_equiv_pos1 :args (@t120)) % 0.46/0.66 (step @p118 :rule reordering :premises (@p117) :args ((or (not @t52) @t119 (not @t120)))) % 0.46/0.66 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p115) :args (@t119 @t111 (@list @t52 @t120))) % 0.46/0.66 (step @p120 :rule cnf_and_pos :args (@t119 0)) % 0.46/0.66 (step @p121 :rule reordering :premises (@p120) :args ((or @t118 (not @t119)))) % 0.46/0.66 (step @p122 :rule chain_m_resolution :premises (@p121 @p119) :args (@t118 @t112 (@list @t119))) % 0.46/0.66 (step @p123 :rule and_elim :premises (@p27) :args (0)) % 0.46/0.66 (step @p124 :rule cnf_or_pos :args (@t124)) % 0.46/0.66 (step @p125 :rule reordering :premises (@p124) :args ((or @t122 @t121 @t123 (not @t124)))) % 0.46/0.66 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p122 @p114) :args (@t121 @t117 (@list @t57 @t118 @t124))) % 0.46/0.66 (step @p127 :rule cnf_or_pos :args (@t129)) % 0.46/0.66 (step @p128 :rule reordering :premises (@p127) :args ((or @t128 @t127 @t126 (not @t129)))) % 0.46/0.66 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p113 @p44) :args (@t126 @t117 (@list @t121 @t113 @t129))) % 0.46/0.66 (step @p130 :rule aci_norm :args ((= (or @t131 @t17) @t130))) % 0.46/0.66 (step @p131 :rule refl :args (@t17)) % 0.46/0.66 (step @p132 :rule aci_norm :args ((= (or @t69 (or @t68 @t106)) @t131))) % 0.46/0.66 (step @p133 :rule bool-and-de-morgan :args (@t8 @t18 true)) % 0.46/0.66 (step @p134 :rule refl :args (@t69)) % 0.46/0.66 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t69 (not (and @t8 @t18))))) % 0.46/0.66 (step @p136 :rule bool-and-de-morgan :args (@t2 @t8 (and @t18))) % 0.46/0.66 (step @p137 :rule trans :premises (@p136 @p135)) % 0.46/0.66 (step @p138 :rule trans :premises (@p137 @p132)) % 0.46/0.66 (step @p139 :rule nary_cong :premises (@p138 @p131) :args ((or (not @t19) @t17))) % 0.46/0.66 (step @p140 :rule trans :premises (@p139 @p130)) % 0.46/0.66 (step @p141 :rule bool-impl-elim :args (@t19 @t17)) % 0.46/0.66 (step @p142 :rule trans :premises (@p141 @p140)) % 0.46/0.66 (step @p143 :rule cong :premises (@p142) :args (@t21)) % 0.46/0.66 (step @p144 :rule eq_resolve :premises (@p8 @p143)) % 0.46/0.66 (step @p145 :rule eq-symm :args (@t133 @t65)) % 0.46/0.66 (step @p146 :rule refl :args (@t135)) % 0.46/0.66 (step @p147 :rule refl :args (@t127)) % 0.46/0.66 (step @p148 :rule refl :args (@t137)) % 0.46/0.66 (step @p149 :rule nary_cong :premises (@p148 @p147 @p146 @p145) :args (@t138)) % 0.46/0.66 (step @p150 :rule refl :args (@t139)) % 0.46/0.66 (step @p151 :rule cong :premises (@p150 @p149) :args ((=> @t139 @t138))) % 0.46/0.66 (assume-push @p251 @t139) % 0.46/0.66 (step @p153 :rule instantiate :premises (@p144) :args ((@list @t63 tptp.xl tptp.xn))) % 0.46/0.66 (step-pop @p252 :rule scope :premises (@p153)) % 0.46/0.66 (step @p154 :rule process_scope :premises (@p252) :args (@t138)) % 0.46/0.66 (step @p156 :rule eq_resolve :premises (@p154 @p151)) % 0.46/0.66 (step @p157 :rule implies_elim :premises (@p156)) % 0.46/0.66 (step @p158 :rule chain_m_resolution :premises (@p157 @p144) :args (@t141 @t112 @t142)) % 0.46/0.66 (step @p159 :rule instantiate :premises (@p66) :args ((@list tptp.xI @t63))) % 0.46/0.66 (step @p160 :rule and_elim :premises (@p29) :args (0)) % 0.46/0.66 (step @p161 :rule cnf_or_pos :args (@t144)) % 0.46/0.66 (step @p162 :rule reordering :premises (@p161) :args ((or @t143 @t136 @t123 (not @t144)))) % 0.46/0.66 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p122 @p159) :args (@t136 @t117 (@list @t64 @t118 @t144))) % 0.46/0.66 (step @p164 :rule instantiate :premises (@p66) :args ((@list tptp.xJ tptp.xn))) % 0.46/0.66 (step @p165 :rule and_elim :premises (@p28) :args (1)) % 0.46/0.66 (step @p166 :rule cnf_or_pos :args (@t146)) % 0.46/0.66 (step @p167 :rule reordering :premises (@p166) :args ((or @t145 @t134 @t115 (not @t146)))) % 0.46/0.66 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p109 @p164) :args (@t134 @t117 (@list @t60 @t108 @t146))) % 0.46/0.66 (step @p169 :rule cnf_or_pos :args (@t141)) % 0.46/0.66 (step @p170 :rule reordering :premises (@p169) :args ((or @t127 @t135 @t137 @t140 (not @t141)))) % 0.46/0.66 (step @p171 :rule chain_m_resolution :premises (@p170 @p113 @p168 @p163 @p158) :args (@t140 @t147 (@list @t113 @t134 @t136 @t141))) % 0.46/0.66 (step @p172 :rule instantiate :premises (@p144) :args ((@list tptp.xx tptp.xm tptp.xn))) % 0.46/0.66 (step @p173 :rule instantiate :premises (@p66) :args ((@list tptp.xI tptp.xm))) % 0.46/0.66 (step @p174 :rule and_elim :premises (@p28) :args (0)) % 0.46/0.66 (step @p175 :rule cnf_or_pos :args (@t150)) % 0.46/0.66 (step @p176 :rule reordering :premises (@p175) :args ((or @t149 @t148 @t123 (not @t150)))) % 0.46/0.66 (step @p177 :rule chain_m_resolution :premises (@p176 @p174 @p122 @p173) :args (@t148 @t117 (@list @t61 @t118 @t150))) % 0.46/0.66 (step @p178 :rule aci_norm :args ((= (or @t70 @t7) (or @t69 @t68 @t7)))) % 0.46/0.66 (step @p179 :rule refl :args (@t7)) % 0.46/0.66 (step @p180 :rule nary_cong :premises (@p37 @p179) :args ((or @t71 @t7))) % 0.46/0.66 (step @p181 :rule trans :premises (@p180 @p178)) % 0.46/0.66 (step @p182 :rule bool-impl-elim :args (@t9 @t7)) % 0.46/0.66 (step @p183 :rule trans :premises (@p182 @p181)) % 0.46/0.66 (step @p184 :rule cong :premises (@p183) :args (@t11)) % 0.46/0.66 (step @p185 :rule eq_resolve :premises (@p5 @p184)) % 0.46/0.66 (step @p186 :rule instantiate :premises (@p185) :args (@t72)) % 0.46/0.66 (step @p187 :rule cnf_or_pos :args (@t152)) % 0.46/0.66 (step @p188 :rule reordering :premises (@p187) :args ((or @t128 @t127 @t151 (not @t152)))) % 0.46/0.66 (step @p189 :rule chain_m_resolution :premises (@p188 @p126 @p113 @p186) :args (@t151 @t117 (@list @t121 @t113 @t152))) % 0.46/0.66 (step @p190 :rule true_intro :premises (@p189)) % 0.46/0.66 (step @p191 :rule cong :premises (@p33) :args (@t153)) % 0.46/0.66 (step @p192 :rule trans :premises (@p191 @p190)) % 0.46/0.66 (step @p193 :rule true_elim :premises (@p192)) % 0.46/0.66 (step @p194 :rule cnf_or_pos :args (@t159)) % 0.46/0.66 (step @p195 :rule reordering :premises (@p194) :args ((or @t158 @t157 @t135 @t156 (not @t159)))) % 0.46/0.66 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p177 @p168 @p172) :args (@t156 @t147 (@list @t153 @t148 @t134 @t159))) % 0.46/0.66 (step @p197 :rule instantiate :premises (@p43) :args ((@list @t63 tptp.xl))) % 0.46/0.66 (step @p198 :rule cnf_or_pos :args (@t162)) % 0.46/0.66 (step @p199 :rule reordering :premises (@p198) :args ((or @t127 @t137 @t161 (not @t162)))) % 0.46/0.66 (step @p200 :rule chain_m_resolution :premises (@p199 @p113 @p163 @p197) :args (@t161 @t117 (@list @t113 @t136 @t162))) % 0.46/0.66 (step @p201 :rule eq-symm :args (@t163 @t160)) % 0.46/0.66 (step @p202 :rule refl :args (@t157)) % 0.46/0.66 (step @p203 :rule refl :args (@t128)) % 0.46/0.66 (step @p204 :rule nary_cong :premises (@p147 @p203 @p202 @p201) :args (@t164)) % 0.46/0.66 (step @p205 :rule cong :premises (@p150 @p204) :args ((=> @t139 @t164))) % 0.46/0.66 (assume-push @p253 @t139) % 0.46/0.66 (step @p207 :rule instantiate :premises (@p144) :args ((@list tptp.xl tptp.xk tptp.xm))) % 0.46/0.66 (step-pop @p254 :rule scope :premises (@p207)) % 0.46/0.66 (step @p208 :rule process_scope :premises (@p254) :args (@t164)) % 0.46/0.66 (step @p210 :rule eq_resolve :premises (@p208 @p205)) % 0.46/0.66 (step @p211 :rule implies_elim :premises (@p210)) % 0.46/0.66 (step @p212 :rule chain_m_resolution :premises (@p211 @p144) :args (@t166 @t112 @t142)) % 0.46/0.66 (step @p213 :rule cnf_or_pos :args (@t166)) % 0.46/0.66 (step @p214 :rule reordering :premises (@p213) :args ((or @t128 @t127 @t157 @t165 (not @t166)))) % 0.46/0.66 (step @p215 :rule chain_m_resolution :premises (@p214 @p126 @p113 @p177 @p212) :args (@t165 @t147 (@list @t121 @t113 @t148 @t166))) % 0.46/0.66 (assume-push @p255 @t55) % 0.46/0.66 (assume-push @p256 @t59) % 0.46/0.66 (assume-push @p257 @t126) % 0.46/0.66 (assume-push @p258 @t140) % 0.46/0.66 (assume-push @p259 @t156) % 0.46/0.66 (assume-push @p260 @t161) % 0.46/0.66 (assume-push @p261 @t165) % 0.46/0.66 (step @p223 :rule symm :premises (@p171)) % 0.46/0.66 (step @p224 :rule refl :args (tptp.xn)) % 0.46/0.66 (step @p225 :rule symm :premises (@p200)) % 0.46/0.66 (step @p226 :rule symm :premises (@p215)) % 0.46/0.66 (step @p227 :rule refl :args (tptp.xm)) % 0.46/0.66 (step @p228 :rule trans :premises (@p33 @p129)) % 0.46/0.66 (step @p229 :rule cong :premises (@p228 @p227) :args (@t154)) % 0.46/0.66 (step @p230 :rule trans :premises (@p229 @p226 @p225)) % 0.46/0.66 (step @p231 :rule cong :premises (@p230 @p224) :args (@t155)) % 0.46/0.66 (step @p232 :rule symm :premises (@p196)) % 0.46/0.66 (step @p233 :rule symm :premises (@p33)) % 0.46/0.66 (step @p234 :rule cong :premises (@p233 @p34) :args ((tptp.sdtpldt0 @t54 tptp.xy))) % 0.46/0.66 (step @p235 :rule refl :args (tptp.xy)) % 0.46/0.66 (step @p236 :rule cong :premises (@p33 @p235) :args (@t66)) % 0.46/0.66 (step @p237 :rule trans :premises (@p236 @p234 @p232 @p231 @p223)) % 0.46/0.66 (step-pop @p262 :rule scope :premises (@p237)) % 0.46/0.66 (step-pop @p263 :rule scope :premises (@p262)) % 0.46/0.66 (step-pop @p264 :rule scope :premises (@p263)) % 0.46/0.66 (step-pop @p265 :rule scope :premises (@p264)) % 0.46/0.66 (step-pop @p266 :rule scope :premises (@p265)) % 0.46/0.66 (step-pop @p267 :rule scope :premises (@p266)) % 0.46/0.66 (step-pop @p268 :rule scope :premises (@p267)) % 0.46/0.66 (step @p238 :rule process_scope :premises (@p268) :args (@t67)) % 0.46/0.66 (step @p246 :rule implies_elim :premises (@p238)) % 0.46/0.66 (step @p247 :rule cnf_and_neg :args (@t167)) % 0.46/0.66 (step @p248 :rule resolution :premises (@p247 @p246) :args (true @t167)) % 0.46/0.66 (step @p249 :rule reordering :premises (@p248) :args ((or @t67 (not @t55) (not @t59) (not @t126) (not @t140) (not @t156) (not @t161) (not @t165)))) % 0.46/0.66 (step @p250 false :rule chain_m_resolution :premises (@p249 @p215 @p200 @p196 @p171 @p129 @p31 @p34 @p33) :args (false (@list false false false false false true false false) (@list @t165 @t161 @t156 @t140 @t126 @t67 @t59 @t55))) % 0.46/0.66 ) % 0.46/0.66 % SZS output end Proof % 0.46/0.66 % cvc5 exiting %------------------------------------------------------------------------------