%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX189-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 09:07:18 AM UTC 2026 % Result : Unsatisfiable 99.83s 100.07s % Output : Proof 99.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SWX189-1 : TPTP v9.3.0. Released v9.3.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n021.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 23:06:20 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.59/15.88 --- Run --no-e-matching --full-saturate-quant at 6... % 21.70/21.92 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.70/27.97 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.71/34.02 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.85/64.14 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.96/79.19 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 99.83/100.07 % SZS status Unsatisfiable % 99.83/100.07 % SZS output start Proof % 99.83/100.08 ( % 99.83/100.08 (declare-sort $$unsorted 0) % 99.83/100.08 (declare-const tptp.eq (-> $$unsorted $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.d (-> $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.fail3 (-> $$unsorted $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.fail12 (-> $$unsorted $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.fail32 (-> $$unsorted $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.mulNat (-> $$unsorted $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.fail (-> $$unsorted $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.prop2 (-> $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.fail22 (-> $$unsorted $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.opt (-> $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.fail1 (-> $$unsorted $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.z $$unsorted) % 99.83/100.08 (declare-const tptp.fail2 (-> $$unsorted $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.impl (-> $$unsorted $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.eq3 (-> $$unsorted $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.bfalse $$unsorted) % 99.83/100.08 (declare-const tptp.fail4 (-> $$unsorted $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.y (-> $$unsorted $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.addNat (-> $$unsorted $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.btrue $$unsorted) % 99.83/100.08 (declare-const tptp.eq2 (-> $$unsorted $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.aux (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.x (-> $$unsorted $$unsorted $$unsorted)) % 99.83/100.08 (declare-const tptp.x2 $$unsorted) % 99.83/100.08 (define @t1 () (@var "Y" $$unsorted)) % 99.83/100.08 (define @t2 () (tptp.s tptp.z)) % 99.83/100.08 (define @t3 () (@var "E" $$unsorted)) % 99.83/100.08 (define @t4 () (@list @t1 @t3)) % 99.83/100.08 (define @t5 () (@var "C" $$unsorted)) % 99.83/100.08 (define @t6 () (@var "B" $$unsorted)) % 99.83/100.08 (define @t7 () (tptp.opt @t3)) % 99.83/100.08 (define @t8 () (@var "X" $$unsorted)) % 99.83/100.08 (define @t9 () (tptp.n @t8)) % 99.83/100.08 (define @t10 () (tptp.opt @t9)) % 99.83/100.08 (define @t11 () (@var "X2" $$unsorted)) % 99.83/100.08 (define @t12 () (tptp.y @t8 @t11)) % 99.83/100.08 (define @t13 () (@list @t8 @t11 @t3)) % 99.83/100.08 (define @t14 () (tptp.opt tptp.x2)) % 99.83/100.08 (define @t15 () (@list @t3)) % 99.83/100.08 (define @t16 () (@var "B2" $$unsorted)) % 99.83/100.08 (define @t17 () (@var "A2" $$unsorted)) % 99.83/100.08 (define @t18 () (tptp.n @t17)) % 99.83/100.08 (define @t19 () (tptp.x @t8 @t11)) % 99.83/100.08 (define @t20 () (@list @t17 @t8 @t11)) % 99.83/100.08 (define @t21 () (tptp.n (tptp.s @t11))) % 99.83/100.08 (define @t22 () (tptp.n tptp.z)) % 99.83/100.08 (define @t23 () (@list @t1)) % 99.83/100.08 (define @t24 () (@list @t1 @t8 @t11)) % 99.83/100.08 (define @t25 () (@var "E2" $$unsorted)) % 99.83/100.08 (define @t26 () (@var "X5" $$unsorted)) % 99.83/100.08 (define @t27 () (@var "B3" $$unsorted)) % 99.83/100.08 (define @t28 () (@var "A3" $$unsorted)) % 99.83/100.08 (define @t29 () (tptp.n @t28)) % 99.83/100.08 (define @t30 () (@list @t28 @t8 @t11)) % 99.83/100.08 (define @t31 () (@var "B4" $$unsorted)) % 99.83/100.08 (define @t32 () (@var "A4" $$unsorted)) % 99.83/100.08 (define @t33 () (@list @t8 @t11 @t25)) % 99.83/100.08 (define @t34 () (@list @t25)) % 99.83/100.08 (define @t35 () (forall @t34 (= (tptp.fail32 tptp.x2 @t25) (tptp.fail4 tptp.x2 @t25)))) % 99.83/100.08 (define @t36 () (@var "X8" $$unsorted)) % 99.83/100.08 (define @t37 () (tptp.n (tptp.s (tptp.s @t36)))) % 99.83/100.08 (define @t38 () (tptp.n @t2)) % 99.83/100.08 (define @t39 () (tptp.fail22 @t26 @t38)) % 99.83/100.08 (define @t40 () (@list @t26)) % 99.83/100.08 (define @t41 () (forall @t40 (= @t39 @t26))) % 99.83/100.08 (define @t42 () (@list @t26 @t8 @t11)) % 99.83/100.08 (define @t43 () (forall @t40 (= (tptp.fail22 @t26 tptp.x2) (tptp.fail32 @t26 tptp.x2)))) % 99.83/100.08 (define @t44 () (@var "X11" $$unsorted)) % 99.83/100.08 (define @t45 () (tptp.n (tptp.s (tptp.s @t44)))) % 99.83/100.08 (define @t46 () (tptp.fail12 @t38 @t25)) % 99.83/100.08 (define @t47 () (forall @t34 (= @t46 @t25))) % 99.83/100.08 (define @t48 () (forall @t34 (= (tptp.fail12 tptp.x2 @t25) (tptp.fail22 tptp.x2 @t25)))) % 99.83/100.08 (define @t49 () (@var "X13" $$unsorted)) % 99.83/100.08 (define @t50 () (tptp.n (tptp.s @t49))) % 99.83/100.08 (define @t51 () (@var "Q" $$unsorted)) % 99.83/100.08 (define @t52 () (tptp.impl tptp.btrue @t51)) % 99.83/100.08 (define @t53 () (@list @t51)) % 99.83/100.08 (define @t54 () (forall @t53 (= @t52 @t51))) % 99.83/100.08 (define @t55 () (tptp.n @t1)) % 99.83/100.08 (define @t56 () (@var "G" $$unsorted)) % 99.83/100.08 (define @t57 () (@var "F" $$unsorted)) % 99.83/100.08 (define @t58 () (@var "G2" $$unsorted)) % 99.83/100.08 (define @t59 () (@var "H" $$unsorted)) % 99.83/100.08 (define @t60 () (tptp.d tptp.x2)) % 99.83/100.08 (define @t61 () (@var "Z" $$unsorted)) % 99.83/100.08 (define @t62 () (tptp.s @t61)) % 99.83/100.08 (define @t63 () (@list @t61 @t1)) % 99.83/100.08 (define @t64 () (@var "X4" $$unsorted)) % 99.83/100.08 (define @t65 () (tptp.n (tptp.s @t64))) % 99.83/100.08 (define @t66 () (@var "X15" $$unsorted)) % 99.83/100.08 (define @t67 () (tptp.n (tptp.s @t66))) % 99.83/100.08 (define @t68 () (@list @t8)) % 99.83/100.08 (define @t69 () (forall @t68 (= @t10 @t9))) % 99.83/100.08 (define @t70 () (tptp.eq3 tptp.btrue tptp.bfalse)) % 99.83/100.08 (define @t71 () (tptp.x tptp.x2 tptp.x2)) % 99.83/100.08 (define @t72 () (tptp.y tptp.x2 @t71)) % 99.83/100.08 (define @t73 () (tptp.y tptp.x2 tptp.x2)) % 99.83/100.08 (define @t74 () (tptp.x @t73 @t72)) % 99.83/100.08 (define @t75 () (tptp.prop2 @t8)) % 99.83/100.08 (define @t76 () (tptp.eq @t8 @t1)) % 99.83/100.08 (define @t77 () (@list @t8 @t1)) % 99.83/100.08 (define @t78 () (tptp.x @t61 @t11)) % 99.83/100.08 (define @t79 () (tptp.x @t8 @t1)) % 99.83/100.08 (define @t80 () (tptp.eq2 @t79 @t78)) % 99.83/100.08 (define @t81 () (tptp.eq2 @t8 @t61)) % 99.83/100.08 (define @t82 () (not (= @t81 tptp.bfalse))) % 99.83/100.08 (define @t83 () (@list @t8 @t61 @t1 @t11)) % 99.83/100.08 (define @t84 () (tptp.eq2 @t1 @t11)) % 99.83/100.08 (define @t85 () (= @t80 @t84)) % 99.83/100.08 (define @t86 () (not (= @t81 tptp.btrue))) % 99.83/100.08 (define @t87 () (or @t86 @t85)) % 99.83/100.08 (define @t88 () (forall @t83 @t87)) % 99.83/100.08 (define @t89 () (tptp.y @t61 @t11)) % 99.83/100.08 (define @t90 () (tptp.y @t8 @t1)) % 99.83/100.08 (define @t91 () (tptp.eq2 @t90 @t89)) % 99.83/100.08 (define @t92 () (or @t82 (= @t91 tptp.bfalse))) % 99.83/100.08 (define @t93 () (forall @t83 @t92)) % 99.83/100.08 (define @t94 () (@list @t8 @t1 @t61)) % 99.83/100.08 (define @t95 () (tptp.eq2 @t9 tptp.x2)) % 99.83/100.08 (define @t96 () (forall @t68 (= @t95 tptp.bfalse))) % 99.83/100.08 (define @t97 () (tptp.n @t61)) % 99.83/100.08 (define @t98 () (@list @t8 @t1 @t61 @t11)) % 99.83/100.08 (define @t99 () (tptp.s @t8)) % 99.83/100.08 (define @t100 () (tptp.eq2 @t8 @t8)) % 99.83/100.08 (define @t101 () (forall @t68 (= @t100 tptp.btrue))) % 99.83/100.08 (define @t102 () (tptp.eq3 @t8 @t8)) % 99.83/100.08 (define @t103 () (forall @t68 (= @t102 tptp.btrue))) % 99.83/100.08 (define @t104 () (tptp.eq3 @t75 tptp.bfalse)) % 99.83/100.08 (define @t105 () (not (= @t104 tptp.btrue))) % 99.83/100.08 (define @t106 () (forall @t68 @t105)) % 99.83/100.08 (define @t107 () (tptp.y @t14 @t14)) % 99.83/100.08 (define @t108 () (tptp.opt @t107)) % 99.83/100.08 (define @t109 () (tptp.y tptp.x2 @t108)) % 99.83/100.08 (define @t110 () (@list @t109)) % 99.83/100.08 (define @t111 () (tptp.d @t108)) % 99.83/100.08 (define @t112 () (tptp.y tptp.x2 @t111)) % 99.83/100.08 (define @t113 () (tptp.opt @t112)) % 99.83/100.08 (define @t114 () (tptp.y tptp.x2 @t14)) % 99.83/100.08 (define @t115 () (@list tptp.x2)) % 99.83/100.08 (define @t116 () (tptp.fail12 tptp.x2 tptp.x2)) % 99.83/100.08 (define @t117 () (tptp.fail22 tptp.x2 tptp.x2)) % 99.83/100.08 (define @t118 () (= @t116 @t117)) % 99.83/100.08 (define @t119 () (@list false)) % 99.83/100.08 (define @t120 () (tptp.fail32 tptp.x2 tptp.x2)) % 99.83/100.08 (define @t121 () (= @t117 @t120)) % 99.83/100.08 (define @t122 () (tptp.fail4 tptp.x2 tptp.x2)) % 99.83/100.08 (define @t123 () (= @t120 @t122)) % 99.83/100.08 (define @t124 () (tptp.d @t114)) % 99.83/100.08 (define @t125 () (tptp.d @t14)) % 99.83/100.08 (define @t126 () (tptp.y tptp.x2 @t125)) % 99.83/100.08 (define @t127 () (tptp.y @t60 @t14)) % 99.83/100.08 (define @t128 () (tptp.x @t127 @t126)) % 99.83/100.08 (define @t129 () (@list tptp.x2 @t127 @t126)) % 99.83/100.08 (define @t130 () (@list @t128)) % 99.83/100.08 (define @t131 () (tptp.y @t38 @t14)) % 99.83/100.08 (define @t132 () (@list @t2)) % 99.83/100.08 (define @t133 () (tptp.opt @t38)) % 99.83/100.08 (define @t134 () (tptp.y @t133 @t14)) % 99.83/100.08 (define @t135 () (tptp.x @t134 @t126)) % 99.83/100.08 (define @t136 () (@list @t133 @t14 @t126)) % 99.83/100.08 (define @t137 () (tptp.eq2 @t38 tptp.x2)) % 99.83/100.08 (define @t138 () (= tptp.bfalse (tptp.eq2 @t134 @t126))) % 99.83/100.08 (define @t139 () (= tptp.bfalse (tptp.eq2 @t133 tptp.x2))) % 99.83/100.08 (define @t140 () (not @t139)) % 99.83/100.08 (define @t141 () (or @t140 @t138)) % 99.83/100.08 (define @t142 () (@list false false)) % 99.83/100.08 (define @t143 () (@list @t38)) % 99.83/100.08 (define @t144 () (tptp.eq2 @t113 @t72)) % 99.83/100.08 (define @t145 () (= (tptp.eq2 (tptp.x @t108 @t113) @t74) @t144)) % 99.83/100.08 (define @t146 () (= tptp.btrue (tptp.eq2 @t108 @t73))) % 99.83/100.08 (define @t147 () (not @t146)) % 99.83/100.08 (define @t148 () (or @t147 @t145)) % 99.83/100.08 (define @t149 () (tptp.y @t133 @t108)) % 99.83/100.08 (define @t150 () (tptp.opt @t149)) % 99.83/100.08 (define @t151 () (@list @t133 @t108 @t112)) % 99.83/100.08 (define @t152 () (= tptp.bfalse (tptp.eq2 (tptp.y @t38 @t108) @t112))) % 99.83/100.08 (define @t153 () (= tptp.bfalse @t137)) % 99.83/100.08 (define @t154 () (not @t153)) % 99.83/100.08 (define @t155 () (or @t154 @t152)) % 99.83/100.08 (define @t156 () (tptp.eq2 @t149 @t112)) % 99.83/100.08 (define @t157 () (tptp.y @t60 @t108)) % 99.83/100.08 (define @t158 () (tptp.x @t157 @t112)) % 99.83/100.08 (define @t159 () (tptp.opt (tptp.d @t109))) % 99.83/100.08 (define @t160 () (tptp.eq2 @t159 @t74)) % 99.83/100.08 (define @t161 () (tptp.prop2 @t109)) % 99.83/100.08 (define @t162 () (tptp.eq3 @t161 @t161)) % 99.83/100.08 (define @t163 () (= tptp.btrue @t162)) % 99.83/100.08 (define @t164 () (forall @t68 (= tptp.btrue @t102))) % 99.83/100.08 (assume @p1 (forall @t4 (= (tptp.aux @t1 @t3 tptp.btrue) (tptp.y (tptp.n (tptp.s @t2)) (tptp.opt @t1))))) % 99.83/100.08 (assume @p2 (forall (@list @t6 @t5 @t3) (= (tptp.aux (tptp.x @t6 @t5) @t3 tptp.bfalse) (tptp.opt (tptp.x @t6 (tptp.x @t5 @t3)))))) % 99.83/100.08 (assume @p3 (forall (@list @t8 @t3) (= (tptp.aux @t9 @t3 tptp.bfalse) (tptp.x @t10 @t7)))) % 99.83/100.08 (assume @p4 (forall @t13 (= (tptp.aux @t12 @t3 tptp.bfalse) (tptp.x (tptp.opt @t12) @t7)))) % 99.83/100.08 (assume @p5 (forall @t15 (= (tptp.aux tptp.x2 @t3 tptp.bfalse) (tptp.x @t14 @t7)))) % 99.83/100.08 (assume @p6 (forall @t4 (= (tptp.fail2 @t1 @t3) (tptp.aux @t1 @t3 (tptp.eq2 @t1 @t3))))) % 99.83/100.08 (assume @p7 (forall (@list @t17 @t16) (= (tptp.fail1 @t18 (tptp.n @t16)) (tptp.n (tptp.addNat @t17 @t16))))) % 99.83/100.08 (assume @p8 (forall @t20 (= (tptp.fail1 @t18 @t19) (tptp.fail2 @t18 @t19)))) % 99.83/100.08 (assume @p9 (forall @t20 (= (tptp.fail1 @t18 @t12) (tptp.fail2 @t18 @t12)))) % 99.83/100.08 (assume @p10 (forall (@list @t17) (= (tptp.fail1 @t18 tptp.x2) (tptp.fail2 @t18 tptp.x2)))) % 99.83/100.08 (assume @p11 (forall @t13 (= (tptp.fail1 @t19 @t3) (tptp.fail2 @t19 @t3)))) % 99.83/100.08 (assume @p12 (forall @t13 (= (tptp.fail1 @t12 @t3) (tptp.fail2 @t12 @t3)))) % 99.83/100.08 (assume @p13 (forall @t15 (= (tptp.fail1 tptp.x2 @t3) (tptp.fail2 tptp.x2 @t3)))) % 99.83/100.08 (assume @p14 (forall (@list @t1 @t11) (= (tptp.fail @t1 @t21) (tptp.fail1 @t1 @t21)))) % 99.83/100.08 (assume @p15 (forall @t23 (= (tptp.fail @t1 @t22) @t1))) % 99.83/100.08 (assume @p16 (forall @t24 (= (tptp.fail @t1 @t19) (tptp.fail1 @t1 @t19)))) % 99.83/100.08 (assume @p17 (forall @t24 (= (tptp.fail @t1 @t12) (tptp.fail1 @t1 @t12)))) % 99.83/100.08 (assume @p18 (forall @t23 (= (tptp.fail @t1 tptp.x2) (tptp.fail1 @t1 tptp.x2)))) % 99.83/100.08 (assume @p19 (forall (@list @t26 @t25) (= (tptp.fail4 @t26 @t25) (tptp.y (tptp.opt @t26) (tptp.opt @t25))))) % 99.83/100.08 (assume @p20 (forall (@list @t28 @t27) (= (tptp.fail32 @t29 (tptp.n @t27)) (tptp.n (tptp.mulNat @t28 @t27))))) % 99.83/100.08 (assume @p21 (forall @t30 (= (tptp.fail32 @t29 @t19) (tptp.fail4 @t29 @t19)))) % 99.83/100.08 (assume @p22 (forall @t30 (= (tptp.fail32 @t29 @t12) (tptp.fail4 @t29 @t12)))) % 99.83/100.08 (assume @p23 (forall (@list @t28) (= (tptp.fail32 @t29 tptp.x2) (tptp.fail4 @t29 tptp.x2)))) % 99.83/100.08 (assume @p24 (forall (@list @t32 @t31 @t25) (= (tptp.fail32 (tptp.y @t32 @t31) @t25) (tptp.opt (tptp.y @t32 (tptp.y @t31 @t25)))))) % 99.83/100.08 (assume @p25 (forall @t33 (= (tptp.fail32 @t19 @t25) (tptp.fail4 @t19 @t25)))) % 99.83/100.08 (assume @p26 @t35) % 99.83/100.08 (assume @p27 (forall (@list @t26 @t36) (= (tptp.fail22 @t26 @t37) (tptp.fail32 @t26 @t37)))) % 99.83/100.08 (assume @p28 @t41) % 99.83/100.08 (assume @p29 (forall @t40 (= (tptp.fail22 @t26 @t22) (tptp.fail32 @t26 @t22)))) % 99.83/100.08 (assume @p30 (forall @t42 (= (tptp.fail22 @t26 @t19) (tptp.fail32 @t26 @t19)))) % 99.83/100.08 (assume @p31 (forall @t42 (= (tptp.fail22 @t26 @t12) (tptp.fail32 @t26 @t12)))) % 99.83/100.08 (assume @p32 @t43) % 99.83/100.08 (assume @p33 (forall (@list @t44 @t25) (= (tptp.fail12 @t45 @t25) (tptp.fail22 @t45 @t25)))) % 99.83/100.08 (assume @p34 @t47) % 99.83/100.08 (assume @p35 (forall @t34 (= (tptp.fail12 @t22 @t25) (tptp.fail22 @t22 @t25)))) % 99.83/100.08 (assume @p36 (forall @t33 (= (tptp.fail12 @t19 @t25) (tptp.fail22 @t19 @t25)))) % 99.83/100.08 (assume @p37 (forall @t33 (= (tptp.fail12 @t12 @t25) (tptp.fail22 @t12 @t25)))) % 99.83/100.08 (assume @p38 @t48) % 99.83/100.08 (assume @p39 (forall (@list @t26 @t49) (= (tptp.fail3 @t26 @t50) (tptp.fail12 @t26 @t50)))) % 99.83/100.08 (assume @p40 (forall @t40 (= (tptp.fail3 @t26 @t22) @t22))) % 99.83/100.08 (assume @p41 (forall @t42 (= (tptp.fail3 @t26 @t19) (tptp.fail12 @t26 @t19)))) % 99.83/100.08 (assume @p42 (forall @t42 (= (tptp.fail3 @t26 @t12) (tptp.fail12 @t26 @t12)))) % 99.83/100.08 (assume @p43 (forall @t40 (= (tptp.fail3 @t26 tptp.x2) (tptp.fail12 @t26 tptp.x2)))) % 99.83/100.08 (assume @p44 @t54) % 99.83/100.08 (assume @p45 (forall @t53 (= (tptp.impl tptp.bfalse @t51) tptp.btrue))) % 99.83/100.08 (assume @p46 (forall @t23 (= (tptp.d @t55) @t22))) % 99.83/100.08 (assume @p47 (forall (@list @t57 @t56) (= (tptp.d (tptp.x @t57 @t56)) (tptp.x (tptp.d @t57) (tptp.d @t56))))) % 99.83/100.08 (assume @p48 (forall (@list @t59 @t58) (= (tptp.d (tptp.y @t59 @t58)) (tptp.x (tptp.y (tptp.d @t59) @t58) (tptp.y @t59 (tptp.d @t58)))))) % 99.83/100.08 (assume @p49 (= @t60 @t38)) % 99.83/100.08 (assume @p50 (forall @t63 (= (tptp.addNat @t62 @t1) (tptp.s (tptp.addNat @t61 @t1))))) % 99.83/100.08 (assume @p51 (forall @t23 (= (tptp.addNat tptp.z @t1) @t1))) % 99.83/100.08 (assume @p52 (forall @t63 (= (tptp.mulNat @t62 @t1) (tptp.addNat @t1 (tptp.mulNat @t61 @t1))))) % 99.83/100.08 (assume @p53 (forall @t23 (= (tptp.mulNat tptp.z @t1) tptp.z))) % 99.83/100.08 (assume @p54 (forall (@list @t64 @t3) (= (tptp.opt (tptp.x @t65 @t3)) (tptp.fail @t65 @t3)))) % 99.83/100.08 (assume @p55 (forall @t15 (= (tptp.opt (tptp.x @t22 @t3)) @t3))) % 99.83/100.08 (assume @p56 (forall @t13 (= (tptp.opt (tptp.x @t19 @t3)) (tptp.fail @t19 @t3)))) % 99.83/100.08 (assume @p57 (forall @t13 (= (tptp.opt (tptp.x @t12 @t3)) (tptp.fail @t12 @t3)))) % 99.83/100.08 (assume @p58 (forall @t15 (= (tptp.opt (tptp.x tptp.x2 @t3)) (tptp.fail tptp.x2 @t3)))) % 99.83/100.08 (assume @p59 (forall (@list @t66 @t25) (= (tptp.opt (tptp.y @t67 @t25)) (tptp.fail3 @t67 @t25)))) % 99.83/100.08 (assume @p60 (forall @t34 (= (tptp.opt (tptp.y @t22 @t25)) @t22))) % 99.83/100.08 (assume @p61 (forall @t33 (= (tptp.opt (tptp.y @t19 @t25)) (tptp.fail3 @t19 @t25)))) % 99.83/100.08 (assume @p62 (forall @t33 (= (tptp.opt (tptp.y @t12 @t25)) (tptp.fail3 @t12 @t25)))) % 99.83/100.08 (assume @p63 (forall @t34 (= (tptp.opt (tptp.y tptp.x2 @t25)) (tptp.fail3 tptp.x2 @t25)))) % 99.83/100.08 (assume @p64 @t69) % 99.83/100.08 (assume @p65 (= @t14 tptp.x2)) % 99.83/100.08 (assume @p66 (forall @t68 (= @t75 (tptp.impl (tptp.eq2 (tptp.opt (tptp.d @t8)) @t74) @t70)))) % 99.83/100.08 (assume @p67 (= (tptp.eq3 tptp.bfalse tptp.btrue) tptp.bfalse)) % 99.83/100.08 (assume @p68 (= @t70 tptp.bfalse)) % 99.83/100.08 (assume @p69 (forall @t77 (= (tptp.eq2 @t9 @t55) @t76))) % 99.83/100.08 (assume @p70 (forall @t83 (or @t82 (= @t80 tptp.bfalse)))) % 99.83/100.08 (assume @p71 @t88) % 99.83/100.08 (assume @p72 @t93) % 99.83/100.08 (assume @p73 (forall @t83 (or @t86 (= @t91 @t84)))) % 99.83/100.08 (assume @p74 (forall @t94 (= (tptp.eq2 @t9 (tptp.x @t1 @t61)) tptp.bfalse))) % 99.83/100.08 (assume @p75 (forall @t94 (= (tptp.eq2 @t9 (tptp.y @t1 @t61)) tptp.bfalse))) % 99.83/100.08 (assume @p76 @t96) % 99.83/100.08 (assume @p77 (forall @t94 (= (tptp.eq2 @t79 @t97) tptp.bfalse))) % 99.83/100.08 (assume @p78 (forall @t98 (= (tptp.eq2 @t79 @t89) tptp.bfalse))) % 99.83/100.08 (assume @p79 (forall @t77 (= (tptp.eq2 @t79 tptp.x2) tptp.bfalse))) % 99.83/100.08 (assume @p80 (forall @t94 (= (tptp.eq2 @t90 @t97) tptp.bfalse))) % 99.83/100.08 (assume @p81 (forall @t98 (= (tptp.eq2 @t90 @t78) tptp.bfalse))) % 99.83/100.08 (assume @p82 (forall @t77 (= (tptp.eq2 @t90 tptp.x2) tptp.bfalse))) % 99.83/100.08 (assume @p83 (forall @t68 (= (tptp.eq2 tptp.x2 @t9) tptp.bfalse))) % 99.83/100.08 (assume @p84 (forall @t77 (= (tptp.eq2 tptp.x2 @t79) tptp.bfalse))) % 99.83/100.08 (assume @p85 (forall @t77 (= (tptp.eq2 tptp.x2 @t90) tptp.bfalse))) % 99.83/100.08 (assume @p86 (forall @t77 (= (tptp.eq @t99 (tptp.s @t1)) @t76))) % 99.83/100.08 (assume @p87 (forall @t68 (= (tptp.eq @t99 tptp.z) tptp.bfalse))) % 99.83/100.08 (assume @p88 (forall @t68 (= (tptp.eq tptp.z @t99) tptp.bfalse))) % 99.83/100.08 (assume @p89 (forall @t68 (= (tptp.eq @t8 @t8) tptp.btrue))) % 99.83/100.08 (assume @p90 @t101) % 99.83/100.08 (assume @p91 @t103) % 99.83/100.08 (assume @p92 @t106) % 99.83/100.08 (step @p93 :rule eq-symm :args (@t102 tptp.btrue)) % 99.83/100.08 (step @p94 :rule cong :premises (@p93) :args (@t103)) % 99.83/100.08 (step @p95 :rule eq_resolve :premises (@p91 @p94)) % 99.83/100.08 (step @p96 :rule eq-symm :args (@t104 tptp.btrue)) % 99.83/100.08 (step @p97 :rule cong :premises (@p96) :args (@t105)) % 99.83/100.08 (step @p98 :rule cong :premises (@p97) :args (@t106)) % 99.83/100.08 (step @p99 :rule eq_resolve :premises (@p92 @p98)) % 99.83/100.08 (step @p100 :rule instantiate :premises (@p99) :args (@t110)) % 99.83/100.08 (step @p101 :rule false_intro :premises (@p100)) % 99.83/100.08 (step @p102 :rule eq-symm :args (@t52 @t51)) % 99.83/100.08 (step @p103 :rule cong :premises (@p102) :args (@t54)) % 99.83/100.08 (step @p104 :rule eq_resolve :premises (@p44 @p103)) % 99.83/100.08 (step @p105 :rule instantiate :premises (@p104) :args ((@list @t70))) % 99.83/100.08 (step @p106 :rule symm :premises (@p105)) % 99.83/100.08 (step @p107 :rule refl :args (@t70)) % 99.83/100.08 (step @p108 :rule eq-symm :args (@t100 tptp.btrue)) % 99.83/100.08 (step @p109 :rule cong :premises (@p108) :args (@t101)) % 99.83/100.08 (step @p110 :rule eq_resolve :premises (@p90 @p109)) % 99.83/100.08 (step @p111 :rule instantiate :premises (@p110) :args ((@list @t113))) % 99.83/100.08 (step @p112 :rule symm :premises (@p111)) % 99.83/100.08 (step @p113 :rule instantiate :premises (@p63) :args ((@list @t111))) % 99.83/100.08 (step @p114 :rule symm :premises (@p113)) % 99.83/100.08 (step @p115 :rule refl :args (@t14)) % 99.83/100.08 (step @p116 :rule symm :premises (@p65)) % 99.83/100.08 (step @p117 :rule cong :premises (@p116 @p115) :args (@t114)) % 99.83/100.08 (step @p118 :rule cong :premises (@p117) :args ((tptp.opt @t114))) % 99.83/100.08 (step @p119 :rule instantiate :premises (@p63) :args ((@list @t14))) % 99.83/100.08 (step @p120 :rule symm :premises (@p119)) % 99.83/100.08 (step @p121 :rule refl :args (tptp.x2)) % 99.83/100.08 (step @p122 :rule cong :premises (@p121 @p116) :args ((tptp.fail3 tptp.x2 tptp.x2))) % 99.83/100.08 (step @p123 :rule instantiate :premises (@p43) :args (@t115)) % 99.83/100.08 (step @p124 :rule symm :premises (@p123)) % 99.83/100.08 (step @p125 :rule eq-symm :args (@t116 @t117)) % 99.83/100.08 (step @p126 :rule refl :args (@t48)) % 99.83/100.08 (step @p127 :rule cong :premises (@p126 @p125) :args ((=> @t48 @t118))) % 99.83/100.08 (assume-push @p326 @t48) % 99.83/100.08 (step @p129 :rule instantiate :premises (@p38) :args (@t115)) % 99.83/100.08 (step-pop @p327 :rule scope :premises (@p129)) % 99.83/100.08 (step @p130 :rule process_scope :premises (@p327) :args (@t118)) % 99.83/100.08 (step @p132 :rule eq_resolve :premises (@p130 @p127)) % 99.83/100.08 (step @p133 :rule implies_elim :premises (@p132)) % 99.83/100.08 (step @p134 :rule chain_m_resolution :premises (@p133 @p38) :args ((= @t117 @t116) @t119 (@list @t48))) % 99.83/100.08 (step @p135 :rule eq-symm :args (@t117 @t120)) % 99.83/100.08 (step @p136 :rule refl :args (@t43)) % 99.83/100.08 (step @p137 :rule cong :premises (@p136 @p135) :args ((=> @t43 @t121))) % 99.83/100.08 (assume-push @p328 @t43) % 99.83/100.08 (step @p139 :rule instantiate :premises (@p32) :args (@t115)) % 99.83/100.08 (step-pop @p329 :rule scope :premises (@p139)) % 99.83/100.08 (step @p140 :rule process_scope :premises (@p329) :args (@t121)) % 99.83/100.08 (step @p142 :rule eq_resolve :premises (@p140 @p137)) % 99.83/100.08 (step @p143 :rule implies_elim :premises (@p142)) % 99.83/100.08 (step @p144 :rule chain_m_resolution :premises (@p143 @p32) :args ((= @t120 @t117) @t119 (@list @t43))) % 99.83/100.08 (step @p145 :rule eq-symm :args (@t120 @t122)) % 99.83/100.08 (step @p146 :rule refl :args (@t35)) % 99.83/100.08 (step @p147 :rule cong :premises (@p146 @p145) :args ((=> @t35 @t123))) % 99.83/100.08 (assume-push @p330 @t35) % 99.83/100.08 (step @p149 :rule instantiate :premises (@p26) :args (@t115)) % 99.83/100.08 (step-pop @p331 :rule scope :premises (@p149)) % 99.83/100.08 (step @p150 :rule process_scope :premises (@p331) :args (@t123)) % 99.83/100.08 (step @p152 :rule eq_resolve :premises (@p150 @p147)) % 99.83/100.08 (step @p153 :rule implies_elim :premises (@p152)) % 99.83/100.08 (step @p154 :rule chain_m_resolution :premises (@p153 @p26) :args ((= @t122 @t120) @t119 (@list @t35))) % 99.83/100.08 (step @p155 :rule instantiate :premises (@p19) :args ((@list tptp.x2 tptp.x2))) % 99.83/100.08 (step @p156 :rule symm :premises (@p155)) % 99.83/100.08 (step @p157 :rule trans :premises (@p117 @p156 @p154 @p144 @p134 @p124 @p122 @p120 @p118)) % 99.83/100.08 (step @p158 :rule cong :premises (@p157) :args (@t124)) % 99.83/100.08 (step @p159 :rule instantiate :premises (@p48) :args ((@list tptp.x2 @t14))) % 99.83/100.08 (step @p160 :rule symm :premises (@p159)) % 99.83/100.08 (step @p161 :rule trans :premises (@p160 @p158)) % 99.83/100.08 (step @p162 :rule cong :premises (@p121 @p161) :args ((tptp.fail3 tptp.x2 @t128))) % 99.83/100.08 (step @p163 :rule instantiate :premises (@p41) :args (@t129)) % 99.83/100.08 (step @p164 :rule symm :premises (@p163)) % 99.83/100.08 (step @p165 :rule instantiate :premises (@p38) :args (@t130)) % 99.83/100.08 (step @p166 :rule symm :premises (@p165)) % 99.83/100.08 (step @p167 :rule instantiate :premises (@p30) :args (@t129)) % 99.83/100.08 (step @p168 :rule symm :premises (@p167)) % 99.83/100.08 (step @p169 :rule instantiate :premises (@p26) :args (@t130)) % 99.83/100.08 (step @p170 :rule symm :premises (@p169)) % 99.83/100.08 (step @p171 :rule instantiate :premises (@p19) :args ((@list tptp.x2 @t128))) % 99.83/100.08 (step @p172 :rule symm :premises (@p171)) % 99.83/100.08 (step @p173 :rule cong :premises (@p159) :args ((tptp.opt @t124))) % 99.83/100.08 (step @p174 :rule refl :args (@t126)) % 99.83/100.08 (step @p175 :rule symm :premises (@p49)) % 99.83/100.08 (step @p176 :rule cong :premises (@p175 @p115) :args (@t131)) % 99.83/100.08 (step @p177 :rule eq-symm :args (@t10 @t9)) % 99.83/100.08 (step @p178 :rule cong :premises (@p177) :args (@t69)) % 99.83/100.08 (step @p179 :rule eq_resolve :premises (@p64 @p178)) % 99.83/100.08 (step @p180 :rule instantiate :premises (@p179) :args (@t132)) % 99.83/100.08 (step @p181 :rule symm :premises (@p180)) % 99.83/100.08 (step @p182 :rule cong :premises (@p181 @p115) :args (@t134)) % 99.83/100.08 (step @p183 :rule trans :premises (@p182 @p176)) % 99.83/100.08 (step @p184 :rule cong :premises (@p183 @p174) :args (@t135)) % 99.83/100.08 (step @p185 :rule trans :premises (@p184 @p160)) % 99.83/100.08 (step @p186 :rule cong :premises (@p185) :args ((tptp.opt @t135))) % 99.83/100.08 (step @p187 :rule instantiate :premises (@p57) :args (@t136)) % 99.83/100.08 (step @p188 :rule symm :premises (@p187)) % 99.83/100.08 (step @p189 :rule instantiate :premises (@p17) :args ((@list @t134 tptp.x2 @t125))) % 99.83/100.08 (step @p190 :rule symm :premises (@p189)) % 99.83/100.08 (step @p191 :rule instantiate :premises (@p12) :args (@t136)) % 99.83/100.08 (step @p192 :rule symm :premises (@p191)) % 99.83/100.08 (step @p193 :rule instantiate :premises (@p6) :args ((@list @t134 @t126))) % 99.83/100.08 (step @p194 :rule symm :premises (@p193)) % 99.83/100.08 (step @p195 :rule eq-symm :args (@t91 tptp.bfalse)) % 99.83/100.08 (step @p196 :rule eq-symm :args (@t81 tptp.bfalse)) % 99.83/100.08 (step @p197 :rule cong :premises (@p196) :args (@t82)) % 99.83/100.08 (step @p198 :rule nary_cong :premises (@p197 @p195) :args (@t92)) % 99.83/100.08 (step @p199 :rule cong :premises (@p198) :args (@t93)) % 99.83/100.08 (step @p200 :rule eq_resolve :premises (@p72 @p199)) % 99.83/100.08 (step @p201 :rule instantiate :premises (@p200) :args ((@list @t133 tptp.x2 @t14 @t125))) % 99.83/100.08 (step @p202 :rule cong :premises (@p180 @p121) :args (@t137)) % 99.83/100.08 (step @p203 :rule eq-symm :args (@t95 tptp.bfalse)) % 99.83/100.08 (step @p204 :rule cong :premises (@p203) :args (@t96)) % 99.83/100.08 (step @p205 :rule eq_resolve :premises (@p76 @p204)) % 99.83/100.08 (step @p206 :rule instantiate :premises (@p205) :args (@t132)) % 99.83/100.08 (step @p207 :rule trans :premises (@p206 @p202)) % 99.83/100.08 (step @p208 :rule cnf_or_pos :args (@t141)) % 99.83/100.08 (step @p209 :rule reordering :premises (@p208) :args ((or @t140 @t138 (not @t141)))) % 99.83/100.08 (step @p210 :rule chain_m_resolution :premises (@p209 @p207 @p201) :args (@t138 @t142 (@list @t139 @t141))) % 99.83/100.08 (step @p211 :rule refl :args (@t134)) % 99.83/100.08 (step @p212 :rule cong :premises (@p211 @p174 @p210) :args ((tptp.aux @t134 @t126 tptp.bfalse))) % 99.83/100.08 (step @p213 :rule instantiate :premises (@p4) :args (@t136)) % 99.83/100.08 (step @p214 :rule symm :premises (@p213)) % 99.83/100.08 (step @p215 :rule instantiate :premises (@p63) :args ((@list @t125))) % 99.83/100.08 (step @p216 :rule symm :premises (@p215)) % 99.83/100.08 (step @p217 :rule cong :premises (@p116) :args (@t60)) % 99.83/100.08 (step @p218 :rule trans :premises (@p175 @p217)) % 99.83/100.08 (step @p219 :rule cong :premises (@p121 @p218) :args ((tptp.fail3 tptp.x2 @t38))) % 99.83/100.08 (step @p220 :rule instantiate :premises (@p39) :args ((@list tptp.x2 tptp.z))) % 99.83/100.08 (step @p221 :rule symm :premises (@p220)) % 99.83/100.08 (step @p222 :rule instantiate :premises (@p38) :args (@t143)) % 99.83/100.08 (step @p223 :rule symm :premises (@p222)) % 99.83/100.08 (step @p224 :rule eq-symm :args (@t39 @t26)) % 99.83/100.08 (step @p225 :rule cong :premises (@p224) :args (@t41)) % 99.83/100.08 (step @p226 :rule eq_resolve :premises (@p28 @p225)) % 99.83/100.08 (step @p227 :rule instantiate :premises (@p226) :args (@t115)) % 99.83/100.08 (step @p228 :rule trans :premises (@p227 @p223 @p221 @p219 @p216)) % 99.83/100.08 (step @p229 :rule symm :premises (@p182)) % 99.83/100.08 (step @p230 :rule cong :premises (@p229) :args ((tptp.opt @t131))) % 99.83/100.08 (step @p231 :rule instantiate :premises (@p59) :args ((@list tptp.z @t14))) % 99.83/100.08 (step @p232 :rule symm :premises (@p231)) % 99.83/100.08 (step @p233 :rule refl :args (@t38)) % 99.83/100.08 (step @p234 :rule cong :premises (@p233 @p116) :args ((tptp.fail3 @t38 tptp.x2))) % 99.83/100.08 (step @p235 :rule instantiate :premises (@p43) :args (@t143)) % 99.83/100.08 (step @p236 :rule symm :premises (@p235)) % 99.83/100.08 (step @p237 :rule eq-symm :args (@t46 @t25)) % 99.83/100.08 (step @p238 :rule cong :premises (@p237) :args (@t47)) % 99.83/100.08 (step @p239 :rule eq_resolve :premises (@p34 @p238)) % 99.83/100.08 (step @p240 :rule instantiate :premises (@p239) :args (@t115)) % 99.83/100.08 (step @p241 :rule trans :premises (@p65 @p240 @p236 @p234 @p232 @p230)) % 99.83/100.08 (step @p242 :rule trans :premises (@p116 @p241)) % 99.83/100.08 (step @p243 :rule cong :premises (@p242 @p228) :args (@t71)) % 99.83/100.08 (step @p244 :rule trans :premises (@p243 @p214 @p212 @p194 @p192 @p190 @p188 @p186 @p173)) % 99.83/100.08 (step @p245 :rule cong :premises (@p116 @p244) :args (@t72)) % 99.83/100.08 (step @p246 :rule trans :premises (@p245 @p172 @p170 @p168 @p166 @p164 @p162 @p114)) % 99.83/100.08 (step @p247 :rule refl :args (@t113)) % 99.83/100.08 (step @p248 :rule cong :premises (@p247 @p246) :args (@t144)) % 99.83/100.08 (step @p249 :rule refl :args (@t85)) % 99.83/100.08 (step @p250 :rule eq-symm :args (@t81 tptp.btrue)) % 99.83/100.08 (step @p251 :rule cong :premises (@p250) :args (@t86)) % 99.83/100.08 (step @p252 :rule nary_cong :premises (@p251 @p249) :args (@t87)) % 99.83/100.08 (step @p253 :rule cong :premises (@p252) :args (@t88)) % 99.83/100.08 (step @p254 :rule eq_resolve :premises (@p71 @p253)) % 99.83/100.08 (step @p255 :rule instantiate :premises (@p254) :args ((@list @t108 @t73 @t113 @t72))) % 99.83/100.08 (step @p256 :rule cong :premises (@p65 @p65) :args (@t107)) % 99.83/100.08 (step @p257 :rule symm :premises (@p256)) % 99.83/100.08 (step @p258 :rule trans :premises (@p257 @p156 @p154 @p144 @p134 @p124 @p122 @p120 @p118)) % 99.83/100.08 (step @p259 :rule trans :premises (@p256 @p258)) % 99.83/100.08 (step @p260 :rule cong :premises (@p259 @p256) :args ((tptp.eq2 @t107 @t107))) % 99.83/100.08 (step @p261 :rule cong :premises (@p257 @p257) :args ((tptp.eq2 @t73 @t73))) % 99.83/100.08 (step @p262 :rule instantiate :premises (@p110) :args ((@list @t73))) % 99.83/100.08 (step @p263 :rule trans :premises (@p262 @p261 @p260)) % 99.83/100.08 (step @p264 :rule cnf_or_pos :args (@t148)) % 99.83/100.08 (step @p265 :rule reordering :premises (@p264) :args ((or @t147 @t145 (not @t148)))) % 99.83/100.08 (step @p266 :rule chain_m_resolution :premises (@p265 @p263 @p255) :args (@t145 @t142 (@list @t146 @t148))) % 99.83/100.08 (step @p267 :rule refl :args (@t74)) % 99.83/100.08 (step @p268 :rule instantiate :premises (@p239) :args ((@list @t107))) % 99.83/100.08 (step @p269 :rule symm :premises (@p268)) % 99.83/100.08 (step @p270 :rule instantiate :premises (@p42) :args ((@list @t38 @t14 @t14))) % 99.83/100.08 (step @p149 :rule instantiate :premises (@p26) :args (@t115)) % 99.83/100.08 (step @p139 :rule instantiate :premises (@p32) :args (@t115)) % 99.83/100.08 (step @p129 :rule instantiate :premises (@p38) :args (@t115)) % 99.83/100.08 (step @p271 :rule symm :premises (@p122)) % 99.83/100.08 (step @p272 :rule symm :premises (@p118)) % 99.83/100.08 (step @p273 :rule trans :premises (@p272 @p119 @p271 @p123 @p129 @p139 @p149 @p155)) % 99.83/100.08 (step @p274 :rule cong :premises (@p233 @p273) :args ((tptp.fail3 @t38 @t108))) % 99.83/100.08 (step @p275 :rule instantiate :premises (@p59) :args ((@list tptp.z @t108))) % 99.83/100.08 (step @p276 :rule refl :args (@t108)) % 99.83/100.08 (step @p277 :rule cong :premises (@p181 @p276) :args (@t149)) % 99.83/100.08 (step @p278 :rule cong :premises (@p277) :args (@t150)) % 99.83/100.08 (step @p279 :rule trans :premises (@p278 @p275 @p274 @p270 @p269 @p256)) % 99.83/100.08 (step @p280 :rule trans :premises (@p279 @p258)) % 99.83/100.08 (step @p281 :rule cong :premises (@p280 @p247) :args ((tptp.x @t150 @t113))) % 99.83/100.08 (step @p282 :rule instantiate :premises (@p4) :args (@t151)) % 99.83/100.08 (step @p283 :rule instantiate :premises (@p200) :args ((@list @t38 tptp.x2 @t108 @t111))) % 99.83/100.08 (step @p284 :rule cnf_or_pos :args (@t155)) % 99.83/100.08 (step @p285 :rule reordering :premises (@p284) :args ((or @t154 @t152 (not @t155)))) % 99.83/100.08 (step @p286 :rule chain_m_resolution :premises (@p285 @p206 @p283) :args (@t152 @t142 (@list @t153 @t155))) % 99.83/100.08 (step @p287 :rule symm :premises (@p286)) % 99.83/100.08 (step @p288 :rule refl :args (@t112)) % 99.83/100.08 (step @p289 :rule cong :premises (@p277 @p288) :args (@t156)) % 99.83/100.08 (step @p290 :rule trans :premises (@p289 @p287)) % 99.83/100.08 (step @p291 :rule refl :args (@t149)) % 99.83/100.08 (step @p292 :rule cong :premises (@p291 @p288 @p290) :args ((tptp.aux @t149 @t112 @t156))) % 99.83/100.08 (step @p293 :rule instantiate :premises (@p6) :args ((@list @t149 @t112))) % 99.83/100.08 (step @p294 :rule instantiate :premises (@p12) :args (@t151)) % 99.83/100.08 (step @p295 :rule instantiate :premises (@p17) :args ((@list @t149 tptp.x2 @t111))) % 99.83/100.08 (step @p296 :rule instantiate :premises (@p57) :args (@t151)) % 99.83/100.08 (step @p297 :rule trans :premises (@p181 @p175)) % 99.83/100.08 (step @p298 :rule symm :premises (@p297)) % 99.83/100.08 (step @p299 :rule cong :premises (@p298 @p276) :args (@t157)) % 99.83/100.08 (step @p300 :rule cong :premises (@p299 @p288) :args (@t158)) % 99.83/100.08 (step @p301 :rule instantiate :premises (@p48) :args ((@list tptp.x2 @t108))) % 99.83/100.08 (step @p302 :rule trans :premises (@p301 @p300)) % 99.83/100.08 (step @p303 :rule cong :premises (@p302) :args (@t159)) % 99.83/100.08 (step @p304 :rule symm :premises (@p301)) % 99.83/100.08 (step @p305 :rule cong :premises (@p304) :args ((tptp.opt @t158))) % 99.83/100.08 (step @p306 :rule trans :premises (@p305 @p303 @p296 @p295 @p294 @p293 @p292 @p282 @p281)) % 99.83/100.08 (step @p307 :rule symm :premises (@p305)) % 99.83/100.08 (step @p308 :rule trans :premises (@p307 @p306)) % 99.83/100.08 (step @p309 :rule cong :premises (@p308 @p267) :args (@t160)) % 99.83/100.08 (step @p310 :rule trans :premises (@p309 @p266 @p248 @p112)) % 99.83/100.08 (step @p311 :rule cong :premises (@p310 @p107) :args ((tptp.impl @t160 @t70))) % 99.83/100.08 (step @p312 :rule instantiate :premises (@p66) :args (@t110)) % 99.83/100.08 (step @p313 :rule trans :premises (@p312 @p311 @p106 @p68)) % 99.83/100.08 (step @p314 :rule refl :args (@t161)) % 99.83/100.08 (step @p315 :rule cong :premises (@p314 @p313) :args (@t162)) % 99.83/100.08 (step @p316 :rule refl :args (tptp.btrue)) % 99.83/100.08 (step @p317 :rule cong :premises (@p316 @p315) :args (@t163)) % 99.83/100.08 (step @p318 :rule trans :premises (@p317 @p101)) % 99.83/100.08 (step @p319 :rule false_elim :premises (@p318)) % 99.83/100.08 (assume-push @p332 @t164) % 99.83/100.08 (step @p321 :rule instantiate :premises (@p95) :args ((@list @t161))) % 99.83/100.08 (step-pop @p333 :rule scope :premises (@p321)) % 99.83/100.08 (step @p322 :rule process_scope :premises (@p333) :args (@t163)) % 99.83/100.08 (step @p324 :rule implies_elim :premises (@p322)) % 99.83/100.08 (step @p325 false :rule chain_m_resolution :premises (@p324 @p319 @p95) :args (false (@list true false) (@list @t163 @t164))) % 99.83/100.08 ) % 99.83/100.09 % SZS output end Proof % 99.83/100.09 % cvc5 exiting %------------------------------------------------------------------------------