%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG090+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 : 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 0.71s 0.95s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG090+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 % 0.18/0.34 % Computer : n021.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 14:08:05 EDT 2026 % 0.18/0.35 % CPUTime : % 0.25/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.71/0.95 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.71/0.95 % SZS status Theorem % 0.71/0.95 % SZS output start Proof % 0.71/0.95 ( % 0.71/0.95 (declare-sort $$unsorted 0) % 0.71/0.95 (declare-const tptp.xn $$unsorted) % 0.71/0.95 (declare-const tptp.xz $$unsorted) % 0.71/0.95 (declare-const tptp.xm $$unsorted) % 0.71/0.95 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.71/0.95 (declare-const tptp.sz00 $$unsorted) % 0.71/0.95 (declare-const tptp.xx $$unsorted) % 0.71/0.95 (declare-const tptp.xI $$unsorted) % 0.71/0.95 (declare-const tptp.sz10 $$unsorted) % 0.71/0.95 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.71/0.95 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.95 (declare-const tptp.xk $$unsorted) % 0.71/0.95 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 0.71/0.95 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.95 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.71/0.95 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.95 (declare-const tptp.xy $$unsorted) % 0.71/0.95 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.95 (declare-const tptp.xJ $$unsorted) % 0.71/0.95 (declare-const tptp.xl $$unsorted) % 0.71/0.95 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.71/0.95 (define @t1 () (@var "W0" $$unsorted)) % 0.71/0.95 (define @t2 () (tptp.aElement0 @t1)) % 0.71/0.95 (define @t3 () (@list @t1)) % 0.71/0.95 (define @t4 () (tptp.smndt0 @t1)) % 0.71/0.95 (define @t5 () (@var "W1" $$unsorted)) % 0.71/0.95 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.71/0.95 (define @t7 () (tptp.aElement0 @t6)) % 0.71/0.95 (define @t8 () (tptp.aElement0 @t5)) % 0.71/0.95 (define @t9 () (and @t2 @t8)) % 0.71/0.95 (define @t10 () (@list @t1 @t5)) % 0.71/0.95 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.71/0.95 (define @t12 () (tptp.sdtasdt0 @t1 @t5)) % 0.71/0.95 (define @t13 () (= @t6 (tptp.sdtpldt0 @t5 @t1))) % 0.71/0.95 (define @t14 () (forall @t10 (=> @t9 @t13))) % 0.71/0.95 (define @t15 () (@var "W2" $$unsorted)) % 0.71/0.95 (define @t16 () (tptp.sdtpldt0 @t5 @t15)) % 0.71/0.95 (define @t17 () (= (tptp.sdtpldt0 @t6 @t15) (tptp.sdtpldt0 @t1 @t16))) % 0.71/0.95 (define @t18 () (tptp.aElement0 @t15)) % 0.71/0.95 (define @t19 () (and @t2 @t8 @t18)) % 0.71/0.95 (define @t20 () (@list @t1 @t5 @t15)) % 0.71/0.95 (define @t21 () (forall @t20 (=> @t19 @t17))) % 0.71/0.95 (define @t22 () (tptp.sdtasdt0 @t5 @t1)) % 0.71/0.95 (define @t23 () (tptp.smndt0 tptp.sz10)) % 0.71/0.95 (define @t24 () (tptp.aSet0 @t1)) % 0.71/0.95 (define @t25 () (tptp.aElementOf0 @t5 @t1)) % 0.71/0.95 (define @t26 () (@list @t5)) % 0.71/0.95 (define @t27 () (forall @t26 (=> @t25 @t8))) % 0.71/0.95 (define @t28 () (=> @t24 @t27)) % 0.71/0.95 (define @t29 () (forall @t3 @t28)) % 0.71/0.95 (define @t30 () (tptp.aElementOf0 @t15 @t1)) % 0.71/0.95 (define @t31 () (tptp.aElementOf0 @t15 @t5)) % 0.71/0.95 (define @t32 () (@list @t15)) % 0.71/0.95 (define @t33 () (and @t24 (tptp.aSet0 @t5))) % 0.71/0.95 (define @t34 () (@var "W3" $$unsorted)) % 0.71/0.95 (define @t35 () (@var "W5" $$unsorted)) % 0.71/0.95 (define @t36 () (@var "W4" $$unsorted)) % 0.71/0.95 (define @t37 () (tptp.aElementOf0 @t34 @t15)) % 0.71/0.95 (define @t38 () (@list @t34)) % 0.71/0.95 (define @t39 () (tptp.aSet0 @t15)) % 0.71/0.95 (define @t40 () (tptp.aElementOf0 @t5 tptp.xJ)) % 0.71/0.95 (define @t41 () (tptp.aSet0 tptp.xJ)) % 0.71/0.95 (define @t42 () (tptp.aElementOf0 @t1 tptp.xI)) % 0.71/0.95 (define @t43 () (tptp.aSet0 tptp.xI)) % 0.71/0.95 (define @t44 () (tptp.sdtpldt1 tptp.xI tptp.xJ)) % 0.71/0.95 (define @t45 () (= @t6 tptp.xx)) % 0.71/0.95 (define @t46 () (and @t42 @t40 @t45)) % 0.71/0.95 (define @t47 () (exists @t10 @t46)) % 0.71/0.95 (define @t48 () (tptp.sdtpldt0 tptp.xk tptp.xl)) % 0.71/0.95 (define @t49 () (= tptp.xx @t48)) % 0.71/0.95 (define @t50 () (tptp.aElementOf0 tptp.xl tptp.xJ)) % 0.71/0.95 (define @t51 () (tptp.aElementOf0 tptp.xk tptp.xI)) % 0.71/0.95 (define @t52 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 0.71/0.95 (define @t53 () (= tptp.xy @t52)) % 0.71/0.95 (define @t54 () (tptp.aElementOf0 tptp.xn tptp.xJ)) % 0.71/0.95 (define @t55 () (tptp.aElementOf0 tptp.xm tptp.xI)) % 0.71/0.95 (define @t56 () (tptp.sdtpldt0 tptp.xl tptp.xn)) % 0.71/0.95 (define @t57 () (tptp.aElementOf0 @t56 tptp.xJ)) % 0.71/0.95 (define @t58 () (tptp.sdtpldt0 tptp.xk tptp.xm)) % 0.71/0.95 (define @t59 () (tptp.aElementOf0 @t58 tptp.xI)) % 0.71/0.95 (define @t60 () (tptp.sdtpldt0 @t58 @t56)) % 0.71/0.95 (define @t61 () (tptp.sdtpldt0 tptp.xx tptp.xy)) % 0.71/0.95 (define @t62 () (= @t61 @t60)) % 0.71/0.95 (define @t63 () (not @t45)) % 0.71/0.95 (define @t64 () (not @t40)) % 0.71/0.95 (define @t65 () (not @t42)) % 0.71/0.95 (define @t66 () (or @t65 @t64 @t63)) % 0.71/0.95 (define @t67 () (forall @t10 (not @t46))) % 0.71/0.95 (define @t68 () (not @t67)) % 0.71/0.95 (define @t69 () (forall @t10 @t66)) % 0.71/0.95 (define @t70 () (@quantifiers_skolemize @t69 1)) % 0.71/0.95 (define @t71 () (@quantifiers_skolemize @t69 0)) % 0.71/0.95 (define @t72 () (tptp.sdtpldt0 @t71 @t70)) % 0.71/0.95 (define @t73 () (= tptp.xx @t72)) % 0.71/0.95 (define @t74 () (not @t73)) % 0.71/0.95 (define @t75 () (not (tptp.aElementOf0 @t70 tptp.xJ))) % 0.71/0.95 (define @t76 () (not (tptp.aElementOf0 @t71 tptp.xI))) % 0.71/0.95 (define @t77 () (or @t76 @t75 @t74)) % 0.71/0.95 (define @t78 () (not @t77)) % 0.71/0.95 (define @t79 () (not @t69)) % 0.71/0.95 (define @t80 () (not (= @t72 tptp.xx))) % 0.71/0.95 (define @t81 () (or @t76 @t75 @t80)) % 0.71/0.95 (define @t82 () (not @t81)) % 0.71/0.95 (define @t83 () (@list true)) % 0.71/0.95 (define @t84 () (not @t8)) % 0.71/0.95 (define @t85 () (not @t2)) % 0.71/0.95 (define @t86 () (or @t85 @t84)) % 0.71/0.95 (define @t87 () (not @t9)) % 0.71/0.95 (define @t88 () (@var "BOUND_VARIABLE_7763" $$unsorted)) % 0.71/0.95 (define @t89 () (tptp.aElement0 @t88)) % 0.71/0.95 (define @t90 () (not (tptp.aElementOf0 @t88 @t1))) % 0.71/0.95 (define @t91 () (not @t24)) % 0.71/0.95 (define @t92 () (or @t90 @t89)) % 0.71/0.95 (define @t93 () (or @t91 @t92)) % 0.71/0.95 (define @t94 () (forall (@list @t1 @t88) @t93)) % 0.71/0.95 (define @t95 () (@list @t88)) % 0.71/0.95 (define @t96 () (forall @t95 @t93)) % 0.71/0.95 (define @t97 () (forall @t95 @t92)) % 0.71/0.95 (define @t98 () (or @t91 @t97)) % 0.71/0.95 (define @t99 () (forall @t26 (or (not @t25) @t8))) % 0.71/0.95 (define @t100 () (tptp.aElement0 tptp.xl)) % 0.71/0.95 (define @t101 () (not @t50)) % 0.71/0.95 (define @t102 () (not @t41)) % 0.71/0.95 (define @t103 () (or @t102 @t101 @t100)) % 0.71/0.95 (define @t104 () (@list false false false)) % 0.71/0.95 (define @t105 () (tptp.aElement0 tptp.xk)) % 0.71/0.95 (define @t106 () (not @t51)) % 0.71/0.95 (define @t107 () (not @t43)) % 0.71/0.95 (define @t108 () (or @t107 @t106 @t105)) % 0.71/0.95 (define @t109 () (tptp.sdtpldt0 tptp.xl tptp.xk)) % 0.71/0.95 (define @t110 () (= @t48 @t109)) % 0.71/0.95 (define @t111 () (not @t100)) % 0.71/0.95 (define @t112 () (not @t105)) % 0.71/0.95 (define @t113 () (or @t112 @t111 @t110)) % 0.71/0.95 (define @t114 () (tptp.aElement0 @t56)) % 0.71/0.95 (define @t115 () (not @t57)) % 0.71/0.95 (define @t116 () (or @t102 @t115 @t114)) % 0.71/0.95 (define @t117 () (tptp.aElement0 @t58)) % 0.71/0.95 (define @t118 () (not @t59)) % 0.71/0.95 (define @t119 () (or @t107 @t118 @t117)) % 0.71/0.95 (define @t120 () (tptp.sdtpldt0 @t56 @t58)) % 0.71/0.95 (define @t121 () (= @t60 @t120)) % 0.71/0.95 (define @t122 () (not @t114)) % 0.71/0.95 (define @t123 () (not @t117)) % 0.71/0.95 (define @t124 () (or @t123 @t122 @t121)) % 0.71/0.95 (define @t125 () (not @t18)) % 0.71/0.95 (define @t126 () (or @t85 @t84 @t125)) % 0.71/0.95 (define @t127 () (tptp.aElement0 tptp.xn)) % 0.71/0.95 (define @t128 () (not @t54)) % 0.71/0.95 (define @t129 () (or @t102 @t128 @t127)) % 0.71/0.95 (define @t130 () (tptp.sdtpldt0 tptp.xn @t58)) % 0.71/0.95 (define @t131 () (= @t120 (tptp.sdtpldt0 tptp.xl @t130))) % 0.71/0.95 (define @t132 () (not @t127)) % 0.71/0.95 (define @t133 () (or @t111 @t132 @t123 @t131)) % 0.71/0.95 (define @t134 () (@list false false false false)) % 0.71/0.95 (define @t135 () (tptp.sdtpldt0 @t58 tptp.xn)) % 0.71/0.95 (define @t136 () (= @t130 @t135)) % 0.71/0.95 (define @t137 () (or @t132 @t123 @t136)) % 0.71/0.95 (define @t138 () (tptp.aElement0 tptp.xm)) % 0.71/0.95 (define @t139 () (not @t55)) % 0.71/0.95 (define @t140 () (or @t107 @t139 @t138)) % 0.71/0.95 (define @t141 () (tptp.aElement0 @t52)) % 0.71/0.95 (define @t142 () (not @t138)) % 0.71/0.95 (define @t143 () (or @t142 @t132 @t141)) % 0.71/0.95 (define @t144 () (tptp.aElement0 tptp.xy)) % 0.71/0.95 (define @t145 () (tptp.sdtpldt0 tptp.xk tptp.xy)) % 0.71/0.95 (define @t146 () (tptp.sdtpldt0 tptp.xl @t145)) % 0.71/0.95 (define @t147 () (= (tptp.sdtpldt0 @t109 tptp.xy) @t146)) % 0.71/0.95 (define @t148 () (not @t144)) % 0.71/0.95 (define @t149 () (or @t111 @t112 @t148 @t147)) % 0.71/0.95 (define @t150 () (= @t135 (tptp.sdtpldt0 tptp.xk @t52))) % 0.71/0.95 (define @t151 () (or @t112 @t142 @t132 @t150)) % 0.71/0.95 (define @t152 () (and @t49 @t53 @t73 @t110 @t121 @t131 @t136 @t147 @t150)) % 0.71/0.95 (assume @p1 (forall @t3 (=> @t2 true))) % 0.71/0.95 (assume @p2 (tptp.aElement0 tptp.sz00)) % 0.71/0.95 (assume @p3 (tptp.aElement0 tptp.sz10)) % 0.71/0.95 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t4)))) % 0.71/0.95 (assume @p5 @t11) % 0.71/0.95 (assume @p6 (forall @t10 (=> @t9 (tptp.aElement0 @t12)))) % 0.71/0.95 (assume @p7 @t14) % 0.71/0.95 (assume @p8 @t21) % 0.71/0.95 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.71/0.95 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 0.71/0.95 (assume @p11 (forall @t10 (=> @t9 (= @t12 @t22)))) % 0.71/0.95 (assume @p12 (forall @t20 (=> @t19 (= (tptp.sdtasdt0 @t12 @t15) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t15)))))) % 0.71/0.95 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.71/0.95 (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))))))) % 0.71/0.95 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t23 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t23)))))) % 0.71/0.95 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.71/0.95 (assume @p17 (forall @t10 (=> @t9 (=> (= @t12 tptp.sz00) (or (= @t1 tptp.sz00) (= @t5 tptp.sz00)))))) % 0.71/0.95 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 0.71/0.95 (assume @p19 (forall @t3 (=> @t24 true))) % 0.71/0.95 (assume @p20 @t29) % 0.71/0.95 (assume @p21 (forall @t10 (=> @t33 (=> (and (forall @t32 (=> @t30 @t31)) (forall @t32 (=> @t31 @t30))) (= @t1 @t5))))) % 0.71/0.95 (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))))))))))) % 0.71/0.95 (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)))))))))) % 0.71/0.95 (assume @p24 (forall @t3 (= (tptp.aIdeal0 @t1) (and @t24 (forall @t26 (=> @t25 (and (forall @t32 (=> @t30 (tptp.aElementOf0 @t16 @t1))) (forall @t32 (=> @t18 (tptp.aElementOf0 (tptp.sdtasdt0 @t15 @t5) @t1)))))))))) % 0.71/0.95 (assume @p25 (and @t43 (forall @t3 (=> @t42 (and (forall @t26 (=> (tptp.aElementOf0 @t5 tptp.xI) (tptp.aElementOf0 @t6 tptp.xI))) (forall @t26 (=> @t8 (tptp.aElementOf0 @t22 tptp.xI)))))) (tptp.aIdeal0 tptp.xI) @t41 (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xJ) (and (forall @t26 (=> @t40 (tptp.aElementOf0 @t6 tptp.xJ))) (forall @t26 (=> @t8 (tptp.aElementOf0 @t22 tptp.xJ)))))) (tptp.aIdeal0 tptp.xJ))) % 0.71/0.95 (assume @p26 (and @t47 (tptp.aElementOf0 tptp.xx @t44) (exists @t10 (and @t42 @t40 (= @t6 tptp.xy))) (tptp.aElementOf0 tptp.xy @t44) (tptp.aElement0 tptp.xz))) % 0.71/0.95 (assume @p27 (and @t51 @t50 @t49)) % 0.71/0.95 (assume @p28 (and @t55 @t54 @t53)) % 0.71/0.95 (assume @p29 (and @t59 @t57)) % 0.71/0.95 (assume @p30 (and (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ))) % 0.71/0.95 (assume @p31 (not @t62)) % 0.71/0.95 (assume @p32 true) % 0.71/0.95 (step @p33 :rule and_elim :premises (@p27) :args (2)) % 0.71/0.95 (step @p34 :rule and_elim :premises (@p28) :args (2)) % 0.71/0.95 (step @p35 :rule aci_norm :args ((= (or @t65 (or @t64 @t63)) @t66))) % 0.71/0.95 (step @p36 :rule bool-and-de-morgan :args (@t40 @t45 true)) % 0.71/0.95 (step @p37 :rule refl :args (@t65)) % 0.71/0.95 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t65 (not (and @t40 @t45))))) % 0.71/0.95 (step @p39 :rule bool-and-de-morgan :args (@t42 @t40 (and @t45))) % 0.71/0.95 (step @p40 :rule trans :premises (@p39 @p38)) % 0.71/0.95 (step @p41 :rule trans :premises (@p40 @p35)) % 0.71/0.95 (step @p42 :rule cong :premises (@p41) :args (@t67)) % 0.71/0.95 (step @p43 :rule cong :premises (@p42) :args (@t68)) % 0.71/0.95 (step @p44 :rule exists-elim :args ((= @t47 @t68))) % 0.71/0.95 (step @p45 :rule trans :premises (@p44 @p43)) % 0.71/0.95 (step @p46 :rule and_elim :premises (@p26) :args (0)) % 0.71/0.95 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.71/0.95 (step @p48 :rule refl :args (@t78)) % 0.71/0.95 (step @p49 :rule bool-double-not-elim :args (@t69)) % 0.71/0.95 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or (not @t79) @t78))) % 0.71/0.95 (step @p51 :rule eq-symm :args (@t72 tptp.xx)) % 0.71/0.95 (step @p52 :rule cong :premises (@p51) :args (@t80)) % 0.71/0.95 (step @p53 :rule refl :args (@t75)) % 0.71/0.95 (step @p54 :rule refl :args (@t76)) % 0.71/0.95 (step @p55 :rule nary_cong :premises (@p54 @p53 @p52) :args (@t81)) % 0.71/0.95 (step @p56 :rule cong :premises (@p55) :args (@t82)) % 0.71/0.95 (step @p57 :rule refl :args (@t79)) % 0.71/0.95 (step @p58 :rule cong :premises (@p57 @p56) :args ((=> @t79 @t82))) % 0.71/0.95 (assume-push @p232 @t79) % 0.71/0.95 (step @p60 :rule skolemize :premises (@p47)) % 0.71/0.95 (step-pop @p233 :rule scope :premises (@p60)) % 0.71/0.95 (step @p61 :rule process_scope :premises (@p233) :args (@t82)) % 0.71/0.95 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 0.71/0.95 (step @p64 :rule implies_elim :premises (@p63)) % 0.71/0.95 (step @p65 :rule eq_resolve :premises (@p64 @p50)) % 0.71/0.95 (step @p66 :rule chain_m_resolution :premises (@p65 @p47) :args (@t78 @t83 (@list @t69))) % 0.71/0.95 (step @p67 :rule bool-double-not-elim :args (@t73)) % 0.71/0.95 (step @p68 :rule refl :args (@t77)) % 0.71/0.95 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t77 (not @t74)))) % 0.71/0.95 (step @p70 :rule cnf_or_neg :args (@t77 2)) % 0.71/0.95 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.71/0.95 (step @p72 :rule reordering :premises (@p71) :args ((or @t73 @t77))) % 0.71/0.95 (step @p73 :rule chain_m_resolution :premises (@p72 @p66) :args (@t73 @t83 (@list @t77))) % 0.71/0.95 (step @p74 :rule aci_norm :args ((= (or @t86 @t13) (or @t85 @t84 @t13)))) % 0.71/0.95 (step @p75 :rule refl :args (@t13)) % 0.71/0.95 (step @p76 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 0.71/0.95 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t87 @t13))) % 0.71/0.95 (step @p78 :rule trans :premises (@p77 @p74)) % 0.71/0.95 (step @p79 :rule bool-impl-elim :args (@t9 @t13)) % 0.71/0.95 (step @p80 :rule trans :premises (@p79 @p78)) % 0.71/0.95 (step @p81 :rule cong :premises (@p80) :args (@t14)) % 0.71/0.95 (step @p82 :rule eq_resolve :premises (@p7 @p81)) % 0.71/0.95 (step @p83 :rule instantiate :premises (@p82) :args ((@list tptp.xk tptp.xl))) % 0.71/0.95 (step @p84 :rule aci_norm :args ((= @t93 (or @t91 @t90 @t89)))) % 0.71/0.95 (step @p85 :rule cong :premises (@p84) :args (@t94)) % 0.71/0.95 (step @p86 :rule quant-merge-prenex :args ((= (forall @t3 @t96) @t94))) % 0.71/0.95 (step @p87 :rule alpha_equiv :args (@t97 (@list @t88) (@list @t5))) % 0.71/0.95 (step @p88 :rule refl :args (@t91)) % 0.71/0.95 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t98)) % 0.71/0.95 (step @p90 :rule quant-miniscope-or :args ((= @t96 @t98))) % 0.71/0.95 (step @p91 :rule trans :premises (@p90 @p89)) % 0.71/0.95 (step @p92 :rule symm :premises (@p91)) % 0.71/0.95 (step @p93 :rule cong :premises (@p92) :args ((forall @t3 (or @t91 @t99)))) % 0.71/0.95 (step @p94 :rule trans :premises (@p93 @p86)) % 0.71/0.95 (step @p95 :rule trans :premises (@p94 @p85)) % 0.71/0.95 (step @p96 :rule bool-impl-elim :args (@t24 @t99)) % 0.71/0.95 (step @p97 :rule cong :premises (@p96) :args ((forall @t3 (=> @t24 @t99)))) % 0.71/0.95 (step @p98 :rule trans :premises (@p97 @p95)) % 0.71/0.95 (step @p99 :rule bool-impl-elim :args (@t25 @t8)) % 0.71/0.95 (step @p100 :rule cong :premises (@p99) :args (@t27)) % 0.71/0.95 (step @p101 :rule refl :args (@t24)) % 0.71/0.95 (step @p102 :rule cong :premises (@p101 @p100) :args (@t28)) % 0.71/0.95 (step @p103 :rule cong :premises (@p102) :args (@t29)) % 0.71/0.95 (step @p104 :rule trans :premises (@p103 @p98)) % 0.71/0.95 (step @p105 :rule eq_resolve :premises (@p20 @p104)) % 0.71/0.95 (step @p106 :rule instantiate :premises (@p105) :args ((@list tptp.xJ tptp.xl))) % 0.71/0.95 (step @p107 :rule and_elim :premises (@p27) :args (1)) % 0.71/0.95 (step @p108 :rule and_elim :premises (@p25) :args (3)) % 0.71/0.95 (step @p109 :rule cnf_or_pos :args (@t103)) % 0.71/0.95 (step @p110 :rule reordering :premises (@p109) :args ((or @t102 @t101 @t100 (not @t103)))) % 0.71/0.95 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p107 @p106) :args (@t100 @t104 (@list @t41 @t50 @t103))) % 0.71/0.95 (step @p112 :rule instantiate :premises (@p105) :args ((@list tptp.xI tptp.xk))) % 0.71/0.95 (step @p113 :rule and_elim :premises (@p27) :args (0)) % 0.71/0.95 (step @p114 :rule and_elim :premises (@p25) :args (0)) % 0.71/0.95 (step @p115 :rule cnf_or_pos :args (@t108)) % 0.71/0.95 (step @p116 :rule reordering :premises (@p115) :args ((or @t107 @t106 @t105 (not @t108)))) % 0.71/0.95 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p113 @p112) :args (@t105 @t104 (@list @t43 @t51 @t108))) % 0.71/0.95 (step @p118 :rule cnf_or_pos :args (@t113)) % 0.71/0.95 (step @p119 :rule reordering :premises (@p118) :args ((or @t112 @t111 @t110 (not @t113)))) % 0.71/0.95 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p111 @p83) :args (@t110 @t104 (@list @t105 @t100 @t113))) % 0.71/0.95 (step @p121 :rule instantiate :premises (@p82) :args ((@list @t58 @t56))) % 0.71/0.95 (step @p122 :rule instantiate :premises (@p105) :args ((@list tptp.xJ @t56))) % 0.71/0.95 (step @p123 :rule and_elim :premises (@p29) :args (1)) % 0.71/0.95 (step @p124 :rule cnf_or_pos :args (@t116)) % 0.71/0.95 (step @p125 :rule reordering :premises (@p124) :args ((or @t102 @t115 @t114 (not @t116)))) % 0.71/0.95 (step @p126 :rule chain_m_resolution :premises (@p125 @p108 @p123 @p122) :args (@t114 @t104 (@list @t41 @t57 @t116))) % 0.71/0.95 (step @p127 :rule instantiate :premises (@p105) :args ((@list tptp.xI @t58))) % 0.71/0.95 (step @p128 :rule and_elim :premises (@p29) :args (0)) % 0.71/0.95 (step @p129 :rule cnf_or_pos :args (@t119)) % 0.71/0.95 (step @p130 :rule reordering :premises (@p129) :args ((or @t107 @t118 @t117 (not @t119)))) % 0.71/0.95 (step @p131 :rule chain_m_resolution :premises (@p130 @p114 @p128 @p127) :args (@t117 @t104 (@list @t43 @t59 @t119))) % 0.71/0.95 (step @p132 :rule cnf_or_pos :args (@t124)) % 0.71/0.95 (step @p133 :rule reordering :premises (@p132) :args ((or @t123 @t122 @t121 (not @t124)))) % 0.71/0.95 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p126 @p121) :args (@t121 @t104 (@list @t117 @t114 @t124))) % 0.71/0.95 (step @p135 :rule aci_norm :args ((= (or @t126 @t17) (or @t85 @t84 @t125 @t17)))) % 0.71/0.95 (step @p136 :rule refl :args (@t17)) % 0.71/0.95 (step @p137 :rule aci_norm :args ((= (or @t85 (or @t84 @t125)) @t126))) % 0.71/0.95 (step @p138 :rule bool-and-de-morgan :args (@t8 @t18 true)) % 0.71/0.95 (step @p139 :rule refl :args (@t85)) % 0.71/0.95 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t85 (not (and @t8 @t18))))) % 0.71/0.95 (step @p141 :rule bool-and-de-morgan :args (@t2 @t8 (and @t18))) % 0.71/0.95 (step @p142 :rule trans :premises (@p141 @p140)) % 0.71/0.95 (step @p143 :rule trans :premises (@p142 @p137)) % 0.71/0.95 (step @p144 :rule nary_cong :premises (@p143 @p136) :args ((or (not @t19) @t17))) % 0.71/0.95 (step @p145 :rule trans :premises (@p144 @p135)) % 0.71/0.95 (step @p146 :rule bool-impl-elim :args (@t19 @t17)) % 0.71/0.95 (step @p147 :rule trans :premises (@p146 @p145)) % 0.71/0.95 (step @p148 :rule cong :premises (@p147) :args (@t21)) % 0.71/0.95 (step @p149 :rule eq_resolve :premises (@p8 @p148)) % 0.71/0.95 (step @p150 :rule instantiate :premises (@p149) :args ((@list tptp.xl tptp.xn @t58))) % 0.71/0.95 (step @p151 :rule instantiate :premises (@p105) :args ((@list tptp.xJ tptp.xn))) % 0.71/0.95 (step @p152 :rule and_elim :premises (@p28) :args (1)) % 0.71/0.95 (step @p153 :rule cnf_or_pos :args (@t129)) % 0.71/0.95 (step @p154 :rule reordering :premises (@p153) :args ((or @t102 @t128 @t127 (not @t129)))) % 0.71/0.95 (step @p155 :rule chain_m_resolution :premises (@p154 @p108 @p152 @p151) :args (@t127 @t104 (@list @t41 @t54 @t129))) % 0.71/0.95 (step @p156 :rule cnf_or_pos :args (@t133)) % 0.71/0.95 (step @p157 :rule reordering :premises (@p156) :args ((or @t111 @t132 @t123 @t131 (not @t133)))) % 0.71/0.95 (step @p158 :rule chain_m_resolution :premises (@p157 @p111 @p155 @p131 @p150) :args (@t131 @t134 (@list @t100 @t127 @t117 @t133))) % 0.71/0.95 (step @p159 :rule instantiate :premises (@p82) :args ((@list tptp.xn @t58))) % 0.71/0.95 (step @p160 :rule cnf_or_pos :args (@t137)) % 0.71/0.95 (step @p161 :rule reordering :premises (@p160) :args ((or @t132 @t123 @t136 (not @t137)))) % 0.71/0.95 (step @p162 :rule chain_m_resolution :premises (@p161 @p155 @p131 @p159) :args (@t136 @t104 (@list @t127 @t117 @t137))) % 0.71/0.95 (step @p163 :rule instantiate :premises (@p149) :args ((@list tptp.xl tptp.xk tptp.xy))) % 0.71/0.95 (step @p164 :rule aci_norm :args ((= (or @t86 @t7) (or @t85 @t84 @t7)))) % 0.71/0.95 (step @p165 :rule refl :args (@t7)) % 0.71/0.95 (step @p166 :rule nary_cong :premises (@p76 @p165) :args ((or @t87 @t7))) % 0.71/0.95 (step @p167 :rule trans :premises (@p166 @p164)) % 0.71/0.95 (step @p168 :rule bool-impl-elim :args (@t9 @t7)) % 0.71/0.95 (step @p169 :rule trans :premises (@p168 @p167)) % 0.71/0.95 (step @p170 :rule cong :premises (@p169) :args (@t11)) % 0.71/0.95 (step @p171 :rule eq_resolve :premises (@p5 @p170)) % 0.71/0.95 (step @p172 :rule instantiate :premises (@p171) :args ((@list tptp.xm tptp.xn))) % 0.71/0.95 (step @p173 :rule instantiate :premises (@p105) :args ((@list tptp.xI tptp.xm))) % 0.71/0.95 (step @p174 :rule and_elim :premises (@p28) :args (0)) % 0.71/0.95 (step @p175 :rule cnf_or_pos :args (@t140)) % 0.71/0.95 (step @p176 :rule reordering :premises (@p175) :args ((or @t107 @t139 @t138 (not @t140)))) % 0.71/0.95 (step @p177 :rule chain_m_resolution :premises (@p176 @p114 @p174 @p173) :args (@t138 @t104 (@list @t43 @t55 @t140))) % 0.71/0.95 (step @p178 :rule cnf_or_pos :args (@t143)) % 0.71/0.95 (step @p179 :rule reordering :premises (@p178) :args ((or @t142 @t132 @t141 (not @t143)))) % 0.71/0.95 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p155 @p172) :args (@t141 @t104 (@list @t138 @t127 @t143))) % 0.71/0.95 (step @p181 :rule true_intro :premises (@p180)) % 0.71/0.95 (step @p182 :rule cong :premises (@p34) :args (@t144)) % 0.71/0.95 (step @p183 :rule trans :premises (@p182 @p181)) % 0.71/0.95 (step @p184 :rule true_elim :premises (@p183)) % 0.71/0.95 (step @p185 :rule cnf_or_pos :args (@t149)) % 0.71/0.95 (step @p186 :rule reordering :premises (@p185) :args ((or @t148 @t112 @t111 @t147 (not @t149)))) % 0.71/0.95 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p117 @p111 @p163) :args (@t147 @t134 (@list @t144 @t105 @t100 @t149))) % 0.71/0.95 (step @p188 :rule instantiate :premises (@p149) :args ((@list tptp.xk tptp.xm tptp.xn))) % 0.71/0.95 (step @p189 :rule cnf_or_pos :args (@t151)) % 0.71/0.95 (step @p190 :rule reordering :premises (@p189) :args ((or @t112 @t142 @t132 @t150 (not @t151)))) % 0.71/0.95 (step @p191 :rule chain_m_resolution :premises (@p190 @p117 @p177 @p155 @p188) :args (@t150 @t134 (@list @t105 @t138 @t127 @t151))) % 0.71/0.96 (assume-push @p234 @t49) % 0.71/0.96 (assume-push @p235 @t53) % 0.71/0.96 (assume-push @p236 @t73) % 0.71/0.96 (assume-push @p237 @t110) % 0.71/0.96 (assume-push @p238 @t121) % 0.71/0.96 (assume-push @p239 @t131) % 0.71/0.96 (assume-push @p240 @t136) % 0.71/0.96 (assume-push @p241 @t147) % 0.71/0.96 (assume-push @p242 @t150) % 0.71/0.96 (step @p201 :rule symm :premises (@p134)) % 0.71/0.96 (step @p202 :rule symm :premises (@p158)) % 0.71/0.96 (step @p203 :rule symm :premises (@p162)) % 0.71/0.96 (step @p204 :rule symm :premises (@p191)) % 0.71/0.96 (step @p205 :rule refl :args (tptp.xk)) % 0.71/0.96 (step @p206 :rule cong :premises (@p205 @p34) :args (@t145)) % 0.71/0.96 (step @p207 :rule trans :premises (@p206 @p204 @p203)) % 0.71/0.96 (step @p208 :rule refl :args (tptp.xl)) % 0.71/0.96 (step @p209 :rule cong :premises (@p208 @p207) :args (@t146)) % 0.71/0.96 (step @p210 :rule refl :args (tptp.xy)) % 0.71/0.96 (step @p211 :rule trans :premises (@p33 @p120)) % 0.71/0.96 (step @p212 :rule symm :premises (@p73)) % 0.71/0.96 (step @p213 :rule trans :premises (@p212 @p211)) % 0.71/0.96 (step @p214 :rule cong :premises (@p213 @p210) :args ((tptp.sdtpldt0 @t72 tptp.xy))) % 0.71/0.96 (step @p215 :rule cong :premises (@p73 @p210) :args (@t61)) % 0.71/0.96 (step @p216 :rule trans :premises (@p215 @p214 @p187 @p209 @p202 @p201)) % 0.71/0.96 (step-pop @p243 :rule scope :premises (@p216)) % 0.71/0.96 (step-pop @p244 :rule scope :premises (@p243)) % 0.71/0.96 (step-pop @p245 :rule scope :premises (@p244)) % 0.71/0.96 (step-pop @p246 :rule scope :premises (@p245)) % 0.71/0.96 (step-pop @p247 :rule scope :premises (@p246)) % 0.71/0.96 (step-pop @p248 :rule scope :premises (@p247)) % 0.71/0.96 (step-pop @p249 :rule scope :premises (@p248)) % 0.71/0.96 (step-pop @p250 :rule scope :premises (@p249)) % 0.71/0.96 (step-pop @p251 :rule scope :premises (@p250)) % 0.71/0.96 (step @p217 :rule process_scope :premises (@p251) :args (@t62)) % 0.71/0.96 (step @p227 :rule implies_elim :premises (@p217)) % 0.71/0.96 (step @p228 :rule cnf_and_neg :args (@t152)) % 0.71/0.96 (step @p229 :rule resolution :premises (@p228 @p227) :args (true @t152)) % 0.71/0.96 (step @p230 :rule reordering :premises (@p229) :args ((or @t62 (not @t49) (not @t53) @t74 (not @t110) (not @t121) (not @t131) (not @t136) (not @t147) (not @t150)))) % 0.71/0.96 (step @p231 false :rule chain_m_resolution :premises (@p230 @p191 @p187 @p162 @p158 @p134 @p120 @p73 @p31 @p34 @p33) :args (false (@list false false false false false false false true false false) (@list @t150 @t147 @t136 @t131 @t121 @t110 @t73 @t62 @t53 @t49))) % 0.71/0.96 ) % 0.71/0.96 % SZS output end Proof % 0.71/0.96 % cvc5 exiting %------------------------------------------------------------------------------