%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW937+1 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 09:05:51 AM UTC 2026 % Result : Theorem 156.33s 156.62s % Output : Proof 156.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW937+1 : TPTP v9.2.1. Released v7.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n019.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 22:47:49 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 156.33/156.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 156.33/156.62 --- Run --no-e-matching --full-saturate-quant at 6... % 156.33/156.62 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 156.33/156.62 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 156.33/156.62 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 156.33/156.62 --- Run --trigger-sel=max --full-saturate-quant at 15... % 156.33/156.62 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 156.33/156.62 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 156.33/156.62 --- Run --prenex-quant=none --full-saturate-quant at 30... % 156.33/156.62 % SZS status Theorem % 156.33/156.62 % SZS output start Proof % 156.33/156.62 ( % 156.33/156.62 (declare-sort $$unsorted 0) % 156.33/156.62 (declare-const tptp.cfun__02 (-> $$unsorted $$unsorted $$unsorted)) % 156.33/156.62 (declare-const tptp.cbool__00 $$unsorted) % 156.33/156.62 (declare-const tptp.c_27const_2epred__set_2eDISJOINT_27__02 (-> $$unsorted $$unsorted $$unsorted)) % 156.33/156.62 (declare-const tptp.p__01 (-> $$unsorted Bool)) % 156.33/156.62 (declare-const tptp.cT__00 $$unsorted) % 156.33/156.62 (declare-const tptp.cF__00 $$unsorted) % 156.33/156.62 (declare-const tptp.c_27const_2ecfHeapsBase_2eSPLIT3_27__02 (-> $$unsorted $$unsorted $$unsorted)) % 156.33/156.62 (declare-const tptp.chapp__02 (-> $$unsorted $$unsorted $$unsorted)) % 156.33/156.62 (declare-const tptp.s__02 (-> $$unsorted $$unsorted $$unsorted)) % 156.33/156.62 (declare-const tptp.c_27const_2epred__set_2eUNION_27__02 (-> $$unsorted $$unsorted $$unsorted)) % 156.33/156.62 (declare-const tptp.c_27const_2epair_2e_2c_27__02 (-> $$unsorted $$unsorted $$unsorted)) % 156.33/156.62 (declare-const tptp.c_27type_2epair_2eprod_27__02 (-> $$unsorted $$unsorted $$unsorted)) % 156.33/156.62 (declare-const tptp.c_27const_2eset__sep_2eSPLIT_27__02 (-> $$unsorted $$unsorted $$unsorted)) % 156.33/156.62 (declare-const tptp.c_27const_2eset__sep_2eSTAR_27__02 (-> $$unsorted $$unsorted $$unsorted)) % 156.33/156.62 (define @t1 () (tptp.s__02 tptp.cbool__00 tptp.cT__00)) % 156.33/156.62 (define @t2 () (tptp.p__01 @t1)) % 156.33/156.62 (define @t3 () (tptp.s__02 tptp.cbool__00 tptp.cF__00)) % 156.33/156.62 (define @t4 () (tptp.p__01 @t3)) % 156.33/156.62 (define @t5 () (not @t4)) % 156.33/156.62 (define @t6 () (@var "Vt" $$unsorted)) % 156.33/156.62 (define @t7 () (tptp.s__02 tptp.cbool__00 @t6)) % 156.33/156.62 (define @t8 () (@var "Vg" $$unsorted)) % 156.33/156.62 (define @t9 () (@var "V_3f2380" $$unsorted)) % 156.33/156.62 (define @t10 () (@var "V_3f2384" $$unsorted)) % 156.33/156.62 (define @t11 () (tptp.cfun__02 @t10 @t9)) % 156.33/156.62 (define @t12 () (tptp.s__02 @t11 @t8)) % 156.33/156.62 (define @t13 () (@var "Vf" $$unsorted)) % 156.33/156.62 (define @t14 () (tptp.s__02 @t11 @t13)) % 156.33/156.62 (define @t15 () (@var "Vx" $$unsorted)) % 156.33/156.62 (define @t16 () (tptp.s__02 @t10 @t15)) % 156.33/156.62 (define @t17 () (@var "V_27t2_27" $$unsorted)) % 156.33/156.62 (define @t18 () (tptp.s__02 tptp.cbool__00 @t17)) % 156.33/156.62 (define @t19 () (@var "V_27t1_27" $$unsorted)) % 156.33/156.62 (define @t20 () (tptp.s__02 tptp.cbool__00 @t19)) % 156.33/156.62 (define @t21 () (tptp.p__01 @t20)) % 156.33/156.62 (define @t22 () (tptp.p__01 @t18)) % 156.33/156.62 (define @t23 () (=> @t22 @t21)) % 156.33/156.62 (define @t24 () (=> @t23 (= @t20 @t18))) % 156.33/156.62 (define @t25 () (=> @t21 @t22)) % 156.33/156.62 (define @t26 () (=> @t25 @t24)) % 156.33/156.62 (define @t27 () (@list @t19 @t17)) % 156.33/156.62 (define @t28 () (forall @t27 @t26)) % 156.33/156.62 (define @t29 () (@var "V_27t_27" $$unsorted)) % 156.33/156.62 (define @t30 () (tptp.s__02 tptp.cbool__00 @t29)) % 156.33/156.62 (define @t31 () (tptp.p__01 @t30)) % 156.33/156.62 (define @t32 () (not @t31)) % 156.33/156.62 (define @t33 () (= (=> @t31 @t4) @t32)) % 156.33/156.62 (define @t34 () (=> @t31 @t31)) % 156.33/156.62 (define @t35 () (=> @t4 @t31)) % 156.33/156.62 (define @t36 () (=> @t31 @t2)) % 156.33/156.62 (define @t37 () (=> @t2 @t31)) % 156.33/156.62 (define @t38 () (and (= @t37 @t31) (= @t36 @t2) (= @t35 @t2) (= @t34 @t2) @t33)) % 156.33/156.62 (define @t39 () (@list @t29)) % 156.33/156.62 (define @t40 () (forall @t39 @t38)) % 156.33/156.62 (define @t41 () (not @t2)) % 156.33/156.62 (define @t42 () (forall @t39 (= (not @t32) @t31))) % 156.33/156.62 (define @t43 () (@var "V_27x_27" $$unsorted)) % 156.33/156.62 (define @t44 () (@var "V_27A_27" $$unsorted)) % 156.33/156.62 (define @t45 () (tptp.s__02 @t44 @t43)) % 156.33/156.62 (define @t46 () (@var "V_27y_27" $$unsorted)) % 156.33/156.62 (define @t47 () (tptp.s__02 @t44 @t46)) % 156.33/156.62 (define @t48 () (@var "V_27t3_27" $$unsorted)) % 156.33/156.62 (define @t49 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 @t48))) % 156.33/156.62 (define @t50 () (@var "V_27y_7c39_7c_27" $$unsorted)) % 156.33/156.62 (define @t51 () (tptp.s__02 tptp.cbool__00 @t50)) % 156.33/156.62 (define @t52 () (@var "V_27x_7c39_7c_27" $$unsorted)) % 156.33/156.62 (define @t53 () (tptp.s__02 tptp.cbool__00 @t52)) % 156.33/156.62 (define @t54 () (tptp.p__01 @t53)) % 156.33/156.62 (define @t55 () (tptp.s__02 tptp.cbool__00 @t46)) % 156.33/156.62 (define @t56 () (tptp.s__02 tptp.cbool__00 @t43)) % 156.33/156.62 (define @t57 () (@var "V_27A_270" $$unsorted)) % 156.33/156.62 (define @t58 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 @t57))) % 156.33/156.62 (define @t59 () (not @t58)) % 156.33/156.62 (define @t60 () (=> @t59 @t4)) % 156.33/156.62 (define @t61 () (@list @t57)) % 156.33/156.62 (define @t62 () (@var "V_27B_27" $$unsorted)) % 156.33/156.62 (define @t63 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 @t62))) % 156.33/156.62 (define @t64 () (=> (not @t63) @t4)) % 156.33/156.62 (define @t65 () (=> @t58 @t4)) % 156.33/156.62 (define @t66 () (@list @t62 @t57)) % 156.33/156.62 (define @t67 () (@var "V_27p_27" $$unsorted)) % 156.33/156.62 (define @t68 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 @t67))) % 156.33/156.62 (define @t69 () (not @t68)) % 156.33/156.62 (define @t70 () (@var "V_27q_27" $$unsorted)) % 156.33/156.62 (define @t71 () (tptp.s__02 tptp.cbool__00 @t70)) % 156.33/156.62 (define @t72 () (tptp.p__01 @t71)) % 156.33/156.62 (define @t73 () (not @t72)) % 156.33/156.62 (define @t74 () (@var "V_27r_27" $$unsorted)) % 156.33/156.62 (define @t75 () (tptp.s__02 tptp.cbool__00 @t74)) % 156.33/156.62 (define @t76 () (tptp.p__01 @t75)) % 156.33/156.62 (define @t77 () (not @t76)) % 156.33/156.62 (define @t78 () (@list @t74 @t70 @t67)) % 156.33/156.62 (define @t79 () (@list @t70 @t67)) % 156.33/156.62 (define @t80 () (not (=> @t68 @t72))) % 156.33/156.62 (define @t81 () (@var "V_27u_27" $$unsorted)) % 156.33/156.62 (define @t82 () (tptp.cfun__02 @t44 tptp.cbool__00)) % 156.33/156.62 (define @t83 () (tptp.s__02 @t82 @t81)) % 156.33/156.62 (define @t84 () (tptp.s__02 @t82 @t29)) % 156.33/156.62 (define @t85 () (@var "V_27s_27" $$unsorted)) % 156.33/156.62 (define @t86 () (tptp.s__02 @t82 @t85)) % 156.33/156.62 (define @t87 () (@var "V_27v_27" $$unsorted)) % 156.33/156.62 (define @t88 () (tptp.s__02 @t82 @t87)) % 156.33/156.62 (define @t89 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2epred__set_2eDISJOINT_27__02 @t83 @t88)))) % 156.33/156.62 (define @t90 () (tptp.s__02 @t82 (tptp.c_27const_2epred__set_2eUNION_27__02 @t83 @t88))) % 156.33/156.62 (define @t91 () (and (= @t90 @t86) @t89)) % 156.33/156.62 (define @t92 () (tptp.c_27type_2epair_2eprod_27__02 @t82 @t82)) % 156.33/156.62 (define @t93 () (tptp.s__02 @t92 (tptp.c_27const_2epair_2e_2c_27__02 @t83 @t88))) % 156.33/156.62 (define @t94 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2eset__sep_2eSPLIT_27__02 @t86 @t93)))) % 156.33/156.62 (define @t95 () (= @t94 @t91)) % 156.33/156.62 (define @t96 () (forall (@list @t44 @t85 @t81 @t87) @t95)) % 156.33/156.62 (define @t97 () (tptp.cfun__02 @t82 tptp.cbool__00)) % 156.33/156.62 (define @t98 () (tptp.s__02 @t97 @t70)) % 156.33/156.62 (define @t99 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 @t98 @t88)))) % 156.33/156.62 (define @t100 () (tptp.s__02 @t97 @t67)) % 156.33/156.62 (define @t101 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 @t100 @t83)))) % 156.33/156.62 (define @t102 () (tptp.s__02 @t82 @t15)) % 156.33/156.62 (define @t103 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2eset__sep_2eSPLIT_27__02 @t102 @t93)))) % 156.33/156.62 (define @t104 () (and @t103 @t101 @t99)) % 156.33/156.62 (define @t105 () (@list @t81 @t87)) % 156.33/156.62 (define @t106 () (exists @t105 @t104)) % 156.33/156.62 (define @t107 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 (tptp.s__02 @t97 (tptp.c_27const_2eset__sep_2eSTAR_27__02 @t100 @t98)) @t102)))) % 156.33/156.62 (define @t108 () (= @t107 @t106)) % 156.33/156.62 (define @t109 () (forall (@list @t44 @t67 @t70 @t15) @t108)) % 156.33/156.62 (define @t110 () (@var "V_27w_27" $$unsorted)) % 156.33/156.62 (define @t111 () (tptp.s__02 @t82 @t110)) % 156.33/156.62 (define @t112 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2epred__set_2eDISJOINT_27__02 @t83 @t111)))) % 156.33/156.62 (define @t113 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2epred__set_2eDISJOINT_27__02 @t88 @t111)))) % 156.33/156.62 (define @t114 () (tptp.s__02 @t82 (tptp.c_27const_2epred__set_2eUNION_27__02 @t90 @t111))) % 156.33/156.62 (define @t115 () (and (= @t114 @t86) @t89 @t113 @t112)) % 156.33/156.62 (define @t116 () (tptp.c_27type_2epair_2eprod_27__02 @t82 @t92)) % 156.33/156.62 (define @t117 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2ecfHeapsBase_2eSPLIT3_27__02 @t86 (tptp.s__02 @t116 (tptp.c_27const_2epair_2e_2c_27__02 @t83 (tptp.s__02 @t92 (tptp.c_27const_2epair_2e_2c_27__02 @t88 @t111)))))))) % 156.33/156.62 (define @t118 () (= @t117 @t115)) % 156.33/156.62 (define @t119 () (forall (@list @t44 @t85 @t81 @t87 @t110) @t118)) % 156.33/156.62 (define @t120 () (@var "V_27h3_27" $$unsorted)) % 156.33/156.62 (define @t121 () (tptp.s__02 @t82 @t120)) % 156.33/156.62 (define @t122 () (@var "V_27H3_27" $$unsorted)) % 156.33/156.62 (define @t123 () (tptp.s__02 @t97 @t122)) % 156.33/156.62 (define @t124 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 @t123 @t121)))) % 156.33/156.62 (define @t125 () (@var "V_27h2_27" $$unsorted)) % 156.33/156.62 (define @t126 () (tptp.s__02 @t82 @t125)) % 156.33/156.62 (define @t127 () (@var "V_27H2_27" $$unsorted)) % 156.33/156.62 (define @t128 () (tptp.s__02 @t97 @t127)) % 156.33/156.62 (define @t129 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 @t128 @t126)))) % 156.33/156.62 (define @t130 () (@var "V_27h1_27" $$unsorted)) % 156.33/156.62 (define @t131 () (tptp.s__02 @t82 @t130)) % 156.33/156.62 (define @t132 () (@var "V_27H1_27" $$unsorted)) % 156.33/156.62 (define @t133 () (tptp.s__02 @t97 @t132)) % 156.33/156.62 (define @t134 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 @t133 @t131)))) % 156.33/156.62 (define @t135 () (@var "V_27h_27" $$unsorted)) % 156.33/156.62 (define @t136 () (tptp.s__02 @t82 @t135)) % 156.33/156.62 (define @t137 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2ecfHeapsBase_2eSPLIT3_27__02 @t136 (tptp.s__02 @t116 (tptp.c_27const_2epair_2e_2c_27__02 @t131 (tptp.s__02 @t92 (tptp.c_27const_2epair_2e_2c_27__02 @t126 @t121)))))))) % 156.33/156.62 (define @t138 () (and @t137 @t134 @t129 @t124)) % 156.33/156.62 (define @t139 () (@list @t130 @t125 @t120)) % 156.33/156.62 (define @t140 () (exists @t139 @t138)) % 156.33/156.62 (define @t141 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 (tptp.s__02 @t97 (tptp.c_27const_2eset__sep_2eSTAR_27__02 (tptp.s__02 @t97 (tptp.c_27const_2eset__sep_2eSTAR_27__02 @t133 @t128)) @t123)) @t136)))) % 156.33/156.62 (define @t142 () (=> @t141 @t140)) % 156.33/156.62 (define @t143 () (@list @t44 @t132 @t127 @t122 @t135)) % 156.33/156.62 (define @t144 () (forall @t143 @t142)) % 156.33/156.62 (define @t145 () (not @t144)) % 156.33/156.62 (define @t146 () (not @t124)) % 156.33/156.62 (define @t147 () (not @t129)) % 156.33/156.62 (define @t148 () (not @t134)) % 156.33/156.62 (define @t149 () (not @t137)) % 156.33/156.62 (define @t150 () (or @t149 @t148 @t147 @t146)) % 156.33/156.62 (define @t151 () (not (forall @t139 @t150))) % 156.33/156.62 (define @t152 () (forall @t139 (not @t138))) % 156.33/156.62 (define @t153 () (not @t152)) % 156.33/156.62 (define @t154 () (forall @t143 (or (not @t141) @t151))) % 156.33/156.62 (define @t155 () (@quantifiers_skolemize @t154 0)) % 156.33/156.62 (define @t156 () (tptp.cfun__02 @t155 tptp.cbool__00)) % 156.33/156.62 (define @t157 () (tptp.s__02 @t156 @t120)) % 156.33/156.62 (define @t158 () (@quantifiers_skolemize @t154 3)) % 156.33/156.62 (define @t159 () (tptp.cfun__02 @t156 tptp.cbool__00)) % 156.33/156.62 (define @t160 () (tptp.s__02 @t159 @t158)) % 156.33/156.62 (define @t161 () (tptp.s__02 @t156 @t125)) % 156.33/156.62 (define @t162 () (@quantifiers_skolemize @t154 2)) % 156.33/156.62 (define @t163 () (tptp.s__02 @t159 @t162)) % 156.33/156.62 (define @t164 () (tptp.s__02 @t156 @t130)) % 156.33/156.62 (define @t165 () (@quantifiers_skolemize @t154 1)) % 156.33/156.62 (define @t166 () (tptp.s__02 @t159 @t165)) % 156.33/156.62 (define @t167 () (tptp.c_27type_2epair_2eprod_27__02 @t156 @t156)) % 156.33/156.62 (define @t168 () (tptp.c_27type_2epair_2eprod_27__02 @t156 @t167)) % 156.33/156.62 (define @t169 () (@quantifiers_skolemize @t154 4)) % 156.33/156.62 (define @t170 () (tptp.s__02 @t156 @t169)) % 156.33/156.62 (define @t171 () (forall @t139 (or (not (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2ecfHeapsBase_2eSPLIT3_27__02 @t170 (tptp.s__02 @t168 (tptp.c_27const_2epair_2e_2c_27__02 @t164 (tptp.s__02 @t167 (tptp.c_27const_2epair_2e_2c_27__02 @t161 @t157)))))))) (not (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 @t166 @t164)))) (not (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 @t163 @t161)))) (not (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 @t160 @t157))))))) % 156.33/156.62 (define @t172 () (not @t171)) % 156.33/156.62 (define @t173 () (tptp.c_27const_2eset__sep_2eSTAR_27__02 @t166 @t163)) % 156.33/156.62 (define @t174 () (tptp.s__02 @t159 @t173)) % 156.33/156.62 (define @t175 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 (tptp.s__02 @t159 (tptp.c_27const_2eset__sep_2eSTAR_27__02 @t174 @t160)) @t170)))) % 156.33/156.62 (define @t176 () (not @t175)) % 156.33/156.62 (define @t177 () (or @t176 @t172)) % 156.33/156.62 (define @t178 () (@list true)) % 156.33/156.62 (define @t179 () (@list @t177)) % 156.33/156.62 (define @t180 () (tptp.s__02 @t156 @t87)) % 156.33/156.62 (define @t181 () (tptp.s__02 @t156 @t81)) % 156.33/156.62 (define @t182 () (tptp.s__02 @t167 (tptp.c_27const_2epair_2e_2c_27__02 @t181 @t180))) % 156.33/156.62 (define @t183 () (forall @t105 (or (not (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2eset__sep_2eSPLIT_27__02 @t170 @t182)))) (not (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 @t174 @t181)))) (not (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 @t160 @t180))))))) % 156.33/156.62 (define @t184 () (@quantifiers_skolemize @t183 1)) % 156.33/156.62 (define @t185 () (@quantifiers_skolemize @t183 0)) % 156.33/156.62 (define @t186 () (tptp.s__02 @t156 @t185)) % 156.33/156.62 (define @t187 () (forall @t105 (or (not (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2eset__sep_2eSPLIT_27__02 @t186 @t182)))) (not (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 @t166 @t181)))) (not (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 @t163 @t180))))))) % 156.33/156.62 (define @t188 () (@quantifiers_skolemize @t187 1)) % 156.33/156.62 (define @t189 () (@quantifiers_skolemize @t187 0)) % 156.33/156.62 (define @t190 () (tptp.s__02 @t156 @t184)) % 156.33/156.62 (define @t191 () (not @t99)) % 156.33/156.62 (define @t192 () (not @t101)) % 156.33/156.62 (define @t193 () (not @t103)) % 156.33/156.62 (define @t194 () (forall @t105 (not @t104))) % 156.33/156.62 (define @t195 () (not @t194)) % 156.33/156.62 (define @t196 () (not @t183)) % 156.33/156.62 (define @t197 () (= @t175 @t196)) % 156.33/156.62 (define @t198 () (@list false false)) % 156.33/156.62 (define @t199 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 @t174 @t186)))) % 156.33/156.62 (define @t200 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 @t160 @t190)))) % 156.33/156.62 (define @t201 () (not @t200)) % 156.33/156.62 (define @t202 () (not @t199)) % 156.33/156.62 (define @t203 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2eset__sep_2eSPLIT_27__02 @t170 (tptp.s__02 @t167 (tptp.c_27const_2epair_2e_2c_27__02 @t186 @t190)))))) % 156.33/156.62 (define @t204 () (not @t203)) % 156.33/156.62 (define @t205 () (or @t204 @t202 @t201)) % 156.33/156.62 (define @t206 () (@list @t205)) % 156.33/156.62 (define @t207 () (not @t187)) % 156.33/156.62 (define @t208 () (= @t199 @t207)) % 156.33/156.62 (define @t209 () (tptp.s__02 @t156 @t188)) % 156.33/156.62 (define @t210 () (tptp.s__02 @t156 @t189)) % 156.33/156.62 (define @t211 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2eset__sep_2eSPLIT_27__02 @t186 (tptp.s__02 @t167 (tptp.c_27const_2epair_2e_2c_27__02 @t210 @t209)))))) % 156.33/156.62 (define @t212 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 @t163 @t209)))) % 156.33/156.62 (define @t213 () (not @t212)) % 156.33/156.62 (define @t214 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.chapp__02 @t166 @t210)))) % 156.33/156.62 (define @t215 () (not @t214)) % 156.33/156.62 (define @t216 () (not @t211)) % 156.33/156.62 (define @t217 () (or @t216 @t215 @t213)) % 156.33/156.62 (define @t218 () (@list @t217)) % 156.33/156.62 (define @t219 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2epred__set_2eDISJOINT_27__02 @t210 @t209)))) % 156.33/156.62 (define @t220 () (tptp.s__02 @t156 (tptp.c_27const_2epred__set_2eUNION_27__02 @t210 @t209))) % 156.33/156.62 (define @t221 () (= @t186 @t220)) % 156.33/156.62 (define @t222 () (and @t221 @t219)) % 156.33/156.62 (define @t223 () (= @t211 @t222)) % 156.33/156.62 (define @t224 () (not @t222)) % 156.33/156.62 (define @t225 () (@list false)) % 156.33/156.62 (define @t226 () (@list @t222)) % 156.33/156.62 (define @t227 () (tptp.c_27const_2epred__set_2eUNION_27__02 @t186 @t190)) % 156.33/156.62 (define @t228 () (tptp.s__02 @t156 @t227)) % 156.33/156.62 (define @t229 () (tptp.c_27const_2epred__set_2eDISJOINT_27__02 @t186 @t190)) % 156.33/156.62 (define @t230 () (tptp.s__02 tptp.cbool__00 @t229)) % 156.33/156.62 (define @t231 () (tptp.p__01 @t230)) % 156.33/156.62 (define @t232 () (= @t170 @t228)) % 156.33/156.62 (define @t233 () (and @t232 @t231)) % 156.33/156.62 (define @t234 () (= @t203 @t233)) % 156.33/156.62 (define @t235 () (not @t233)) % 156.33/156.62 (define @t236 () (@list @t233)) % 156.33/156.62 (define @t237 () (or @t32 @t4)) % 156.33/156.62 (define @t238 () (= @t32 @t237)) % 156.33/156.62 (define @t239 () (forall @t39 @t238)) % 156.33/156.62 (define @t240 () (@list @t29)) % 156.33/156.62 (define @t241 () (forall @t39 @t2)) % 156.33/156.62 (define @t242 () (= @t2 (or @t5 @t31))) % 156.33/156.62 (define @t243 () (forall @t39 @t242)) % 156.33/156.62 (define @t244 () (= @t2 (or @t32 @t2))) % 156.33/156.62 (define @t245 () (forall @t39 @t244)) % 156.33/156.62 (define @t246 () (= @t31 (or @t41 @t31))) % 156.33/156.62 (define @t247 () (forall @t39 @t246)) % 156.33/156.62 (define @t248 () (and @t247 @t245 @t243 @t241 @t239)) % 156.33/156.62 (define @t249 () (and @t246 @t244 @t242 (= @t2 true) (= @t237 @t32))) % 156.33/156.62 (define @t250 () (= @t2 @t34)) % 156.33/156.62 (define @t251 () (= @t2 @t35)) % 156.33/156.62 (define @t252 () (= @t2 @t36)) % 156.33/156.62 (define @t253 () (= @t31 @t37)) % 156.33/156.62 (define @t254 () (and @t253 @t252 @t251 @t250 @t33)) % 156.33/156.62 (define @t255 () (= @t18 @t20)) % 156.33/156.62 (define @t256 () (and @t22 (not @t21))) % 156.33/156.62 (define @t257 () (and @t21 (not @t22))) % 156.33/156.62 (define @t258 () (or @t257 @t256 @t255)) % 156.33/156.62 (define @t259 () (=> @t23 @t255)) % 156.33/156.62 (define @t260 () (and @t231 @t41)) % 156.33/156.62 (define @t261 () (not @t231)) % 156.33/156.62 (define @t262 () (and @t2 @t261)) % 156.33/156.62 (define @t263 () (or @t262 @t260 (= @t230 @t1))) % 156.33/156.62 (define @t264 () (forall @t27 @t258)) % 156.33/156.62 (define @t265 () (= @t1 @t230)) % 156.33/156.62 (define @t266 () (or @t262 @t260 @t265)) % 156.33/156.62 (define @t267 () (not @t260)) % 156.33/156.62 (define @t268 () (not @t262)) % 156.33/156.62 (define @t269 () (tptp.c_27const_2epred__set_2eDISJOINT_27__02 @t220 @t190)) % 156.33/156.62 (define @t270 () (tptp.s__02 tptp.cbool__00 @t269)) % 156.33/156.62 (define @t271 () (tptp.p__01 @t270)) % 156.33/156.62 (define @t272 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2epred__set_2eDISJOINT_27__02 @t209 @t190)))) % 156.33/156.62 (define @t273 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2epred__set_2eDISJOINT_27__02 @t210 @t190)))) % 156.33/156.62 (define @t274 () (and @t273 @t272)) % 156.33/156.63 (define @t275 () (= @t271 @t274)) % 156.33/156.63 (define @t276 () (not @t274)) % 156.33/156.63 (define @t277 () (@list @t274)) % 156.33/156.63 (define @t278 () (= @t170 (tptp.s__02 @t156 (tptp.c_27const_2epred__set_2eUNION_27__02 @t220 @t190)))) % 156.33/156.63 (define @t279 () (and @t278 @t219 @t272 @t273)) % 156.33/156.63 (define @t280 () (@list false false false false)) % 156.33/156.63 (define @t281 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2ecfHeapsBase_2eSPLIT3_27__02 @t170 (tptp.s__02 @t168 (tptp.c_27const_2epair_2e_2c_27__02 @t210 (tptp.s__02 @t167 (tptp.c_27const_2epair_2e_2c_27__02 @t209 @t190)))))))) % 156.33/156.63 (define @t282 () (= @t281 @t279)) % 156.33/156.63 (define @t283 () (not @t281)) % 156.33/156.63 (define @t284 () (or @t283 @t215 @t213 @t201)) % 156.33/156.63 (define @t285 () (not @t284)) % 156.33/156.63 (assume @p1 @t2) % 156.33/156.63 (assume @p2 @t5) % 156.33/156.63 (assume @p3 (forall (@list @t6) (or (= @t7 @t1) (= @t7 @t3)))) % 156.33/156.63 (assume @p4 (forall (@list @t10 @t9 @t13 @t8) (=> (forall (@list @t15) (= (tptp.s__02 @t9 (tptp.chapp__02 @t14 @t16)) (tptp.s__02 @t9 (tptp.chapp__02 @t12 @t16)))) (= @t14 @t12)))) % 156.33/156.63 (assume @p5 @t28) % 156.33/156.63 (assume @p6 @t40) % 156.33/156.63 (assume @p7 (and @t42 (= @t41 @t4) (= @t5 @t2))) % 156.33/156.63 (assume @p8 (forall (@list @t44 @t43) (= @t45 @t45))) % 156.33/156.63 (assume @p9 (forall (@list @t44 @t43 @t46) (= (= @t45 @t47) (= @t47 @t45)))) % 156.33/156.63 (assume @p10 (forall @t39 (and (= (= @t1 @t30) @t31) (= (= @t30 @t1) @t31) (= (= @t3 @t30) @t32) (= (= @t30 @t3) @t32)))) % 156.33/156.63 (assume @p11 (forall (@list @t19 @t17 @t48) (= (=> @t21 (=> @t22 @t49)) (=> (and @t21 @t22) @t49)))) % 156.33/156.63 (assume @p12 (forall (@list @t43 @t52 @t46 @t50) (=> (and (= @t56 @t53) (=> @t54 (= @t55 @t51))) (= (=> (tptp.p__01 @t56) (tptp.p__01 @t55)) (=> @t54 (tptp.p__01 @t51)))))) % 156.33/156.63 (assume @p13 @t42) % 156.33/156.63 (assume @p14 (forall @t61 (=> @t58 @t60))) % 156.33/156.63 (assume @p15 (forall @t66 (= (=> (not (or @t58 @t63)) @t4) (=> @t65 @t64)))) % 156.33/156.63 (assume @p16 (forall @t66 (= (=> (not (or @t59 @t63)) @t4) (=> @t58 @t64)))) % 156.33/156.63 (assume @p17 (forall @t61 (=> @t60 (=> @t65 @t4)))) % 156.33/156.63 (assume @p18 (forall @t78 (= (= @t68 (= @t71 @t75)) (and (or @t68 @t72 @t76) (or @t68 @t77 @t73) (or @t72 @t77 @t69) (or @t76 @t73 @t69))))) % 156.33/156.63 (assume @p19 (forall @t78 (= (= @t68 (and @t72 @t76)) (and (or @t68 @t73 @t77) (or @t72 @t69) (or @t76 @t69))))) % 156.33/156.63 (assume @p20 (forall @t78 (= (= @t68 (or @t72 @t76)) (and (or @t68 @t73) (or @t68 @t77) (or @t72 @t76 @t69))))) % 156.33/156.63 (assume @p21 (forall @t79 (= (= @t68 @t73) (and (or @t68 @t72) (or @t73 @t69))))) % 156.33/156.63 (assume @p22 (forall @t79 (=> @t80 @t68))) % 156.33/156.63 (assume @p23 (forall @t79 (=> @t80 @t73))) % 156.33/156.63 (assume @p24 (forall (@list @t44 @t85 @t29 @t81) (= (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2epred__set_2eDISJOINT_27__02 (tptp.s__02 @t82 (tptp.c_27const_2epred__set_2eUNION_27__02 @t86 @t84)) @t83))) (and (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2epred__set_2eDISJOINT_27__02 @t86 @t83))) (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2epred__set_2eDISJOINT_27__02 @t84 @t83))))))) % 156.33/156.63 (assume @p25 @t96) % 156.33/156.63 (assume @p26 @t109) % 156.33/156.63 (assume @p27 @t119) % 156.33/156.63 (assume @p28 @t145) % 156.33/156.63 (assume @p29 true) % 156.33/156.63 (step @p30 :rule bool-impl-elim :args (@t141 @t151)) % 156.33/156.63 (step @p31 :rule cong :premises (@p30) :args ((forall @t143 (=> @t141 @t151)))) % 156.33/156.63 (step @p32 :rule aci_norm :args ((= (or @t149 (or @t148 (or @t147 @t146))) @t150))) % 156.33/156.63 (step @p33 :rule bool-and-de-morgan :args (@t129 @t124 true)) % 156.33/156.63 (step @p34 :rule refl :args (@t148)) % 156.33/156.63 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t148 (not (and @t129 @t124))))) % 156.33/156.63 (step @p36 :rule bool-and-de-morgan :args (@t134 @t129 (and @t124))) % 156.33/156.63 (step @p37 :rule trans :premises (@p36 @p35)) % 156.33/156.63 (step @p38 :rule refl :args (@t149)) % 156.33/156.63 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t149 (not (and @t134 @t129 @t124))))) % 156.33/156.63 (step @p40 :rule bool-and-de-morgan :args (@t137 @t134 (and @t129 @t124))) % 156.33/156.63 (step @p41 :rule trans :premises (@p40 @p39)) % 156.33/156.63 (step @p42 :rule trans :premises (@p41 @p32)) % 156.33/156.63 (step @p43 :rule cong :premises (@p42) :args (@t152)) % 156.33/156.63 (step @p44 :rule cong :premises (@p43) :args (@t153)) % 156.33/156.63 (step @p45 :rule exists-elim :args ((= @t140 @t153))) % 156.33/156.63 (step @p46 :rule trans :premises (@p45 @p44)) % 156.33/156.63 (step @p47 :rule refl :args (@t141)) % 156.33/156.63 (step @p48 :rule cong :premises (@p47 @p46) :args (@t142)) % 156.33/156.63 (step @p49 :rule cong :premises (@p48) :args (@t144)) % 156.33/156.63 (step @p50 :rule trans :premises (@p49 @p31)) % 156.33/156.63 (step @p51 :rule cong :premises (@p50) :args (@t145)) % 156.33/156.63 (step @p52 :rule eq_resolve :premises (@p28 @p51)) % 156.33/156.63 (step @p53 :rule skolemize :premises (@p52)) % 156.33/156.63 (step @p54 :rule bool-double-not-elim :args (@t171)) % 156.33/156.63 (step @p55 :rule refl :args (@t177)) % 156.33/156.63 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t177 (not @t172)))) % 156.33/156.63 (step @p57 :rule cnf_or_neg :args (@t177 1)) % 156.33/156.63 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 156.33/156.63 (step @p59 :rule reordering :premises (@p58) :args ((or @t171 @t177))) % 156.33/156.63 (step @p60 :rule chain_m_resolution :premises (@p59 @p53) :args (@t171 @t178 @t179)) % 156.33/156.63 (step @p61 :rule refl :args (@t112)) % 156.33/156.63 (step @p62 :rule refl :args (@t113)) % 156.33/156.63 (step @p63 :rule refl :args (@t89)) % 156.33/156.63 (step @p64 :rule eq-symm :args (@t114 @t86)) % 156.33/156.63 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62 @p61) :args (@t115)) % 156.33/156.63 (step @p66 :rule refl :args (@t117)) % 156.33/156.63 (step @p67 :rule cong :premises (@p66 @p65) :args (@t118)) % 156.33/156.63 (step @p68 :rule cong :premises (@p67) :args (@t119)) % 156.33/156.63 (step @p69 :rule eq_resolve :premises (@p27 @p68)) % 156.33/156.63 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t155 @t169 @t189 @t188 @t184))) % 156.33/156.63 (step @p71 :rule refl :args (@t190)) % 156.33/156.63 (step @p72 :rule eq-symm :args (@t90 @t86)) % 156.33/156.63 (step @p73 :rule nary_cong :premises (@p72 @p63) :args (@t91)) % 156.33/156.63 (step @p74 :rule refl :args (@t94)) % 156.33/156.63 (step @p75 :rule cong :premises (@p74 @p73) :args (@t95)) % 156.33/156.63 (step @p76 :rule cong :premises (@p75) :args (@t96)) % 156.33/156.63 (step @p77 :rule eq_resolve :premises (@p25 @p76)) % 156.33/156.63 (step @p78 :rule instantiate :premises (@p77) :args ((@list @t155 @t185 @t189 @t188))) % 156.33/156.63 (step @p79 :rule aci_norm :args ((= (or @t193 (or @t192 @t191)) (or @t193 @t192 @t191)))) % 156.33/156.63 (step @p80 :rule bool-and-de-morgan :args (@t101 @t99 true)) % 156.33/156.63 (step @p81 :rule refl :args (@t193)) % 156.33/156.63 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t193 (not (and @t101 @t99))))) % 156.33/156.63 (step @p83 :rule bool-and-de-morgan :args (@t103 @t101 (and @t99))) % 156.33/156.63 (step @p84 :rule trans :premises (@p83 @p82)) % 156.33/156.63 (step @p85 :rule trans :premises (@p84 @p79)) % 156.33/156.63 (step @p86 :rule cong :premises (@p85) :args (@t194)) % 156.33/156.63 (step @p87 :rule cong :premises (@p86) :args (@t195)) % 156.33/156.63 (step @p88 :rule exists-elim :args ((= @t106 @t195))) % 156.33/156.63 (step @p89 :rule trans :premises (@p88 @p87)) % 156.33/156.63 (step @p90 :rule refl :args (@t107)) % 156.33/156.63 (step @p91 :rule cong :premises (@p90 @p89) :args (@t108)) % 156.33/156.63 (step @p92 :rule cong :premises (@p91) :args (@t109)) % 156.33/156.63 (step @p93 :rule eq_resolve :premises (@p26 @p92)) % 156.33/156.63 (step @p94 :rule instantiate :premises (@p93) :args ((@list @t155 @t165 @t162 @t185))) % 156.33/156.63 (step @p95 :rule instantiate :premises (@p93) :args ((@list @t155 @t173 @t158 @t169))) % 156.33/156.63 (step @p96 :rule bool-double-not-elim :args (@t175)) % 156.33/156.63 (step @p97 :rule nary_cong :premises (@p55 @p96) :args ((or @t177 (not @t176)))) % 156.33/156.63 (step @p98 :rule cnf_or_neg :args (@t177 0)) % 156.33/156.63 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 156.33/156.63 (step @p100 :rule reordering :premises (@p99) :args ((or @t175 @t177))) % 156.33/156.63 (step @p101 :rule chain_m_resolution :premises (@p100 @p53) :args (@t175 @t178 @t179)) % 156.33/156.63 (step @p102 :rule cnf_equiv_pos1 :args (@t197)) % 156.33/156.63 (step @p103 :rule reordering :premises (@p102) :args ((or @t176 @t196 (not @t197)))) % 156.33/156.63 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p95) :args (@t196 @t198 (@list @t175 @t197))) % 156.33/156.63 (step @p105 :rule skolemize :premises (@p104)) % 156.33/156.63 (step @p106 :rule bool-double-not-elim :args (@t199)) % 156.33/156.63 (step @p107 :rule refl :args (@t205)) % 156.33/156.63 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t205 (not @t202)))) % 156.33/156.63 (step @p109 :rule cnf_or_neg :args (@t205 1)) % 156.33/156.63 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 156.33/156.63 (step @p111 :rule reordering :premises (@p110) :args ((or @t199 @t205))) % 156.33/156.63 (step @p112 :rule chain_m_resolution :premises (@p111 @p105) :args (@t199 @t178 @t206)) % 156.33/156.63 (step @p113 :rule cnf_equiv_pos1 :args (@t208)) % 156.33/156.63 (step @p114 :rule reordering :premises (@p113) :args ((or @t202 @t207 (not @t208)))) % 156.33/156.63 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p94) :args (@t207 @t198 (@list @t199 @t208))) % 156.33/156.63 (step @p116 :rule skolemize :premises (@p115)) % 156.33/156.63 (step @p117 :rule bool-double-not-elim :args (@t211)) % 156.33/156.63 (step @p118 :rule refl :args (@t217)) % 156.33/156.63 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t217 (not @t216)))) % 156.33/156.63 (step @p120 :rule cnf_or_neg :args (@t217 0)) % 156.33/156.63 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 156.33/156.63 (step @p122 :rule reordering :premises (@p121) :args ((or @t211 @t217))) % 156.33/156.63 (step @p123 :rule chain_m_resolution :premises (@p122 @p116) :args (@t211 @t178 @t218)) % 156.33/156.63 (step @p124 :rule cnf_equiv_pos1 :args (@t223)) % 156.33/156.63 (step @p125 :rule reordering :premises (@p124) :args ((or @t216 @t222 (not @t223)))) % 156.33/156.63 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p78) :args (@t222 @t198 (@list @t211 @t223))) % 156.33/156.63 (step @p127 :rule cnf_and_pos :args (@t222 0)) % 156.33/156.63 (step @p128 :rule reordering :premises (@p127) :args ((or @t221 @t224))) % 156.33/156.63 (step @p129 :rule chain_m_resolution :premises (@p128 @p126) :args (@t221 @t225 @t226)) % 156.33/156.63 (step @p130 :rule cong :premises (@p129 @p71) :args (@t227)) % 156.33/156.63 (step @p131 :rule refl :args (@t156)) % 156.33/156.63 (step @p132 :rule cong :premises (@p131 @p130) :args (@t228)) % 156.33/156.63 (step @p133 :rule instantiate :premises (@p77) :args ((@list @t155 @t169 @t185 @t184))) % 156.33/156.63 (step @p134 :rule bool-double-not-elim :args (@t203)) % 156.33/156.63 (step @p135 :rule nary_cong :premises (@p107 @p134) :args ((or @t205 (not @t204)))) % 156.33/156.63 (step @p136 :rule cnf_or_neg :args (@t205 0)) % 156.33/156.63 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 156.33/156.63 (step @p138 :rule reordering :premises (@p137) :args ((or @t203 @t205))) % 156.33/156.63 (step @p139 :rule chain_m_resolution :premises (@p138 @p105) :args (@t203 @t178 @t206)) % 156.33/156.63 (step @p140 :rule cnf_equiv_pos1 :args (@t234)) % 156.33/156.63 (step @p141 :rule reordering :premises (@p140) :args ((or @t204 @t233 (not @t234)))) % 156.33/156.63 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p133) :args (@t233 @t198 (@list @t203 @t234))) % 156.33/156.63 (step @p143 :rule cnf_and_pos :args (@t233 0)) % 156.33/156.63 (step @p144 :rule reordering :premises (@p143) :args ((or @t232 @t235))) % 156.33/156.63 (step @p145 :rule chain_m_resolution :premises (@p144 @p142) :args (@t232 @t225 @t236)) % 156.33/156.63 (step @p146 :rule trans :premises (@p145 @p132)) % 156.33/156.63 (step @p147 :rule instantiate :premises (@p24) :args ((@list @t155 @t189 @t188 @t184))) % 156.33/156.63 (step @p148 :rule alpha_equiv :args (@t239 @t240 (@list (@var "BOUND_VARIABLE_7827" $$unsorted)))) % 156.33/156.63 (step @p149 :rule quant-unused-vars :args ((= @t241 @t2))) % 156.33/156.63 (step @p150 :rule alpha_equiv :args (@t243 @t240 (@list (@var "BOUND_VARIABLE_7818" $$unsorted)))) % 156.33/156.63 (step @p151 :rule alpha_equiv :args (@t245 @t240 (@list (@var "BOUND_VARIABLE_7809" $$unsorted)))) % 156.33/156.63 (step @p152 :rule alpha_equiv :args (@t247 @t240 (@list (@var "BOUND_VARIABLE_7801" $$unsorted)))) % 156.33/156.63 (step @p153 :rule nary_cong :premises (@p152 @p151 @p150 @p149 @p148) :args (@t248)) % 156.33/156.63 (step @p154 :rule quant-miniscope-and :args ((= (forall @t39 (and @t246 @t244 @t242 @t2 @t238)) @t248))) % 156.33/156.63 (step @p155 :rule trans :premises (@p154 @p153)) % 156.33/156.63 (step @p156 :rule eq-symm :args (@t237 @t32)) % 156.33/156.63 (step @p157 :rule bool-eq-true :args (@t2)) % 156.33/156.63 (step @p158 :rule refl :args (@t242)) % 156.33/156.63 (step @p159 :rule refl :args (@t244)) % 156.33/156.63 (step @p160 :rule refl :args (@t246)) % 156.33/156.63 (step @p161 :rule nary_cong :premises (@p160 @p159 @p158 @p157 @p156) :args (@t249)) % 156.33/156.63 (step @p162 :rule cong :premises (@p161) :args ((forall @t39 @t249))) % 156.33/156.63 (step @p163 :rule trans :premises (@p162 @p155)) % 156.33/156.63 (step @p164 :rule refl :args (@t32)) % 156.33/156.63 (step @p165 :rule bool-impl-elim :args (@t31 @t4)) % 156.33/156.63 (step @p166 :rule cong :premises (@p165 @p164) :args (@t33)) % 156.33/156.63 (step @p167 :rule bool-or-taut2 :args (false @t31 false false)) % 156.33/156.63 (step @p168 :rule bool-impl-elim :args (@t31 @t31)) % 156.33/156.63 (step @p169 :rule trans :premises (@p168 @p167)) % 156.33/156.63 (step @p170 :rule refl :args (@t2)) % 156.33/156.63 (step @p171 :rule cong :premises (@p170 @p169) :args (@t250)) % 156.33/156.63 (step @p172 :rule bool-impl-elim :args (@t4 @t31)) % 156.33/156.63 (step @p173 :rule cong :premises (@p170 @p172) :args (@t251)) % 156.33/156.63 (step @p174 :rule bool-impl-elim :args (@t31 @t2)) % 156.33/156.63 (step @p175 :rule cong :premises (@p170 @p174) :args (@t252)) % 156.33/156.63 (step @p176 :rule bool-impl-elim :args (@t2 @t31)) % 156.33/156.63 (step @p177 :rule refl :args (@t31)) % 156.33/156.63 (step @p178 :rule cong :premises (@p177 @p176) :args (@t253)) % 156.33/156.63 (step @p179 :rule nary_cong :premises (@p178 @p175 @p173 @p171 @p166) :args (@t254)) % 156.33/156.63 (step @p180 :rule cong :premises (@p179) :args ((forall @t39 @t254))) % 156.33/156.63 (step @p181 :rule trans :premises (@p180 @p163)) % 156.33/156.63 (step @p182 :rule refl :args (@t33)) % 156.33/156.63 (step @p183 :rule eq-symm :args (@t34 @t2)) % 156.33/156.63 (step @p184 :rule eq-symm :args (@t35 @t2)) % 156.33/156.63 (step @p185 :rule eq-symm :args (@t36 @t2)) % 156.33/156.63 (step @p186 :rule eq-symm :args (@t37 @t31)) % 156.33/156.63 (step @p187 :rule nary_cong :premises (@p186 @p185 @p184 @p183 @p182) :args (@t38)) % 156.33/156.63 (step @p188 :rule cong :premises (@p187) :args (@t40)) % 156.33/156.63 (step @p189 :rule trans :premises (@p188 @p181)) % 156.33/156.63 (step @p190 :rule eq_resolve :premises (@p6 @p189)) % 156.33/156.63 (step @p191 :rule and_elim :premises (@p190) :args (3)) % 156.33/156.63 (step @p192 :rule true_intro :premises (@p191)) % 156.33/156.63 (step @p193 :rule aci_norm :args ((= (or @t257 (or @t256 @t255)) @t258))) % 156.33/156.63 (step @p194 :rule refl :args (@t255)) % 156.33/156.63 (step @p195 :rule bool-implies-de-morgan :args (@t22 @t21)) % 156.33/156.63 (step @p196 :rule nary_cong :premises (@p195 @p194) :args ((or (not @t23) @t255))) % 156.33/156.63 (step @p197 :rule bool-impl-elim :args (@t23 @t255)) % 156.33/156.63 (step @p198 :rule trans :premises (@p197 @p196)) % 156.33/156.63 (step @p199 :rule bool-implies-de-morgan :args (@t21 @t22)) % 156.33/156.63 (step @p200 :rule nary_cong :premises (@p199 @p198) :args ((or (not @t25) @t259))) % 156.33/156.63 (step @p201 :rule trans :premises (@p200 @p193)) % 156.33/156.63 (step @p202 :rule bool-impl-elim :args (@t25 @t259)) % 156.33/156.63 (step @p203 :rule trans :premises (@p202 @p201)) % 156.33/156.63 (step @p204 :rule cong :premises (@p203) :args ((forall @t27 (=> @t25 @t259)))) % 156.33/156.63 (step @p205 :rule eq-symm :args (@t20 @t18)) % 156.33/156.63 (step @p206 :rule refl :args (@t23)) % 156.33/156.63 (step @p207 :rule cong :premises (@p206 @p205) :args (@t24)) % 156.33/156.63 (step @p208 :rule refl :args (@t25)) % 156.33/156.63 (step @p209 :rule cong :premises (@p208 @p207) :args (@t26)) % 156.33/156.63 (step @p210 :rule cong :premises (@p209) :args (@t28)) % 156.33/156.63 (step @p211 :rule trans :premises (@p210 @p204)) % 156.33/156.63 (step @p212 :rule eq_resolve :premises (@p5 @p211)) % 156.33/156.63 (step @p213 :rule eq-symm :args (@t230 @t1)) % 156.33/156.63 (step @p214 :rule refl :args (@t260)) % 156.33/156.63 (step @p215 :rule refl :args (@t262)) % 156.33/156.63 (step @p216 :rule nary_cong :premises (@p215 @p214 @p213) :args (@t263)) % 156.33/156.63 (step @p217 :rule refl :args (@t264)) % 156.33/156.63 (step @p218 :rule cong :premises (@p217 @p216) :args ((=> @t264 @t263))) % 156.33/156.63 (assume-push @p292 @t264) % 156.33/156.63 (step @p220 :rule instantiate :premises (@p212) :args ((@list tptp.cT__00 @t229))) % 156.33/156.63 (step-pop @p293 :rule scope :premises (@p220)) % 156.33/156.63 (step @p221 :rule process_scope :premises (@p293) :args (@t263)) % 156.33/156.63 (step @p223 :rule eq_resolve :premises (@p221 @p218)) % 156.33/156.63 (step @p224 :rule implies_elim :premises (@p223)) % 156.33/156.63 (step @p225 :rule chain_m_resolution :premises (@p224 @p212) :args (@t266 @t225 (@list @t264))) % 156.33/156.63 (step @p226 :rule cnf_and_pos :args (@t260 1)) % 156.33/156.63 (step @p227 :rule reordering :premises (@p226) :args ((or @t41 @t267))) % 156.33/156.63 (step @p228 :rule chain_m_resolution :premises (@p227 @p191) :args (@t267 @t225 (@list @t2))) % 156.33/156.63 (step @p229 :rule cnf_and_pos :args (@t233 1)) % 156.33/156.63 (step @p230 :rule reordering :premises (@p229) :args ((or @t231 @t235))) % 156.33/156.63 (step @p231 :rule chain_m_resolution :premises (@p230 @p142) :args (@t231 @t225 @t236)) % 156.33/156.63 (step @p232 :rule cnf_and_pos :args (@t262 1)) % 156.33/156.63 (step @p233 :rule reordering :premises (@p232) :args ((or @t261 @t268))) % 156.33/156.63 (step @p234 :rule chain_m_resolution :premises (@p233 @p231) :args (@t268 @t225 (@list @t231))) % 156.33/156.63 (step @p235 :rule cnf_or_pos :args (@t266)) % 156.33/156.63 (step @p236 :rule reordering :premises (@p235) :args ((or @t265 @t262 @t260 (not @t266)))) % 156.33/156.63 (step @p237 :rule chain_m_resolution :premises (@p236 @p234 @p228 @p225) :args (@t265 (@list true true false) (@list @t262 @t260 @t266))) % 156.33/156.63 (step @p238 :rule symm :premises (@p237)) % 156.33/156.63 (step @p239 :rule symm :premises (@p129)) % 156.33/156.63 (step @p240 :rule cong :premises (@p239 @p71) :args (@t269)) % 156.33/156.63 (step @p241 :rule refl :args (tptp.cbool__00)) % 156.33/156.63 (step @p242 :rule cong :premises (@p241 @p240) :args (@t270)) % 156.33/156.63 (step @p243 :rule trans :premises (@p242 @p238)) % 156.33/156.63 (step @p244 :rule cong :premises (@p243) :args (@t271)) % 156.33/156.63 (step @p245 :rule trans :premises (@p244 @p192)) % 156.33/156.63 (step @p246 :rule true_elim :premises (@p245)) % 156.33/156.63 (step @p247 :rule cnf_equiv_pos1 :args (@t275)) % 156.33/156.63 (step @p248 :rule reordering :premises (@p247) :args ((or (not @t271) @t274 (not @t275)))) % 156.33/156.63 (step @p249 :rule chain_m_resolution :premises (@p248 @p246 @p147) :args (@t274 @t198 (@list @t271 @t275))) % 156.33/156.63 (step @p250 :rule cnf_and_pos :args (@t274 1)) % 156.33/156.64 (step @p251 :rule reordering :premises (@p250) :args ((or @t272 @t276))) % 156.33/156.64 (step @p252 :rule chain_m_resolution :premises (@p251 @p249) :args (@t272 @t225 @t277)) % 156.33/156.64 (step @p253 :rule cnf_and_pos :args (@t274 0)) % 156.33/156.64 (step @p254 :rule reordering :premises (@p253) :args ((or @t273 @t276))) % 156.33/156.64 (step @p255 :rule chain_m_resolution :premises (@p254 @p249) :args (@t273 @t225 @t277)) % 156.33/156.64 (step @p256 :rule cnf_and_pos :args (@t222 1)) % 156.33/156.64 (step @p257 :rule reordering :premises (@p256) :args ((or @t219 @t224))) % 156.33/156.64 (step @p258 :rule chain_m_resolution :premises (@p257 @p126) :args (@t219 @t225 @t226)) % 156.33/156.64 (step @p259 :rule cnf_and_neg :args (@t279)) % 156.33/156.64 (step @p260 :rule reordering :premises (@p259) :args ((or (not @t219) @t279 (not @t273) (not @t272) (not @t278)))) % 156.33/156.64 (step @p261 :rule chain_m_resolution :premises (@p260 @p258 @p255 @p252 @p146) :args (@t279 @t280 (@list @t219 @t273 @t272 @t278))) % 156.33/156.64 (step @p262 :rule cnf_equiv_pos2 :args (@t282)) % 156.33/156.64 (step @p263 :rule reordering :premises (@p262) :args ((or @t281 (not @t279) (not @t282)))) % 156.33/156.64 (step @p264 :rule chain_m_resolution :premises (@p263 @p261 @p70) :args (@t281 @t198 (@list @t279 @t282))) % 156.33/156.64 (step @p265 :rule bool-double-not-elim :args (@t212)) % 156.33/156.64 (step @p266 :rule nary_cong :premises (@p118 @p265) :args ((or @t217 (not @t213)))) % 156.33/156.64 (step @p267 :rule cnf_or_neg :args (@t217 2)) % 156.33/156.64 (step @p268 :rule eq_resolve :premises (@p267 @p266)) % 156.33/156.64 (step @p269 :rule reordering :premises (@p268) :args ((or @t212 @t217))) % 156.33/156.64 (step @p270 :rule chain_m_resolution :premises (@p269 @p116) :args (@t212 @t178 @t218)) % 156.33/156.64 (step @p271 :rule bool-double-not-elim :args (@t214)) % 156.33/156.64 (step @p272 :rule nary_cong :premises (@p118 @p271) :args ((or @t217 (not @t215)))) % 156.33/156.64 (step @p273 :rule cnf_or_neg :args (@t217 1)) % 156.33/156.64 (step @p274 :rule eq_resolve :premises (@p273 @p272)) % 156.33/156.64 (step @p275 :rule reordering :premises (@p274) :args ((or @t214 @t217))) % 156.33/156.64 (step @p276 :rule chain_m_resolution :premises (@p275 @p116) :args (@t214 @t178 @t218)) % 156.33/156.64 (step @p277 :rule bool-double-not-elim :args (@t200)) % 156.33/156.64 (step @p278 :rule nary_cong :premises (@p107 @p277) :args ((or @t205 (not @t201)))) % 156.33/156.64 (step @p279 :rule cnf_or_neg :args (@t205 2)) % 156.33/156.64 (step @p280 :rule eq_resolve :premises (@p279 @p278)) % 156.33/156.64 (step @p281 :rule reordering :premises (@p280) :args ((or @t200 @t205))) % 156.33/156.64 (step @p282 :rule chain_m_resolution :premises (@p281 @p105) :args (@t200 @t178 @t206)) % 156.33/156.64 (step @p283 :rule cnf_or_pos :args (@t284)) % 156.33/156.64 (step @p284 :rule reordering :premises (@p283) :args ((or @t201 @t215 @t213 @t283 @t285))) % 156.33/156.64 (step @p285 :rule chain_m_resolution :premises (@p284 @p282 @p276 @p270 @p264) :args (@t285 @t280 (@list @t200 @t214 @t212 @t281))) % 156.33/156.64 (assume-push @p294 @t171) % 156.33/156.64 (step @p287 :rule instantiate :premises (@p60) :args ((@list @t189 @t188 @t184))) % 156.33/156.64 (step-pop @p295 :rule scope :premises (@p287)) % 156.33/156.64 (step @p288 :rule process_scope :premises (@p295) :args (@t284)) % 156.33/156.64 (step @p290 :rule implies_elim :premises (@p288)) % 156.33/156.64 (step @p291 false :rule chain_m_resolution :premises (@p290 @p285 @p60) :args (false (@list true false) (@list @t284 @t171))) % 156.33/156.64 ) % 156.33/156.64 % SZS output end Proof % 156.33/156.64 % cvc5 exiting %------------------------------------------------------------------------------