%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG073+1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:05:09 AM UTC 2026 % Result : Theorem 0.36s 0.58s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG073+1 : TPTP v9.2.1. Released v2.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 01:39:06 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.58 % SZS status Theorem % 0.36/0.58 % SZS output start Proof % 0.36/0.58 ( % 0.36/0.58 (declare-sort $$unsorted 0) % 0.36/0.58 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.sorti2 (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.sorti1 (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (define @t1 () (@var "V" $$unsorted)) % 0.36/0.58 (define @t2 () (@var "U" $$unsorted)) % 0.36/0.58 (define @t3 () (tptp.op1 @t2 @t1)) % 0.36/0.58 (define @t4 () (tptp.sorti1 @t1)) % 0.36/0.58 (define @t5 () (@list @t1)) % 0.36/0.58 (define @t6 () (tptp.sorti1 @t2)) % 0.36/0.58 (define @t7 () (@list @t2)) % 0.36/0.58 (define @t8 () (tptp.op2 @t2 @t1)) % 0.36/0.58 (define @t9 () (tptp.sorti2 @t1)) % 0.36/0.58 (define @t10 () (tptp.sorti2 @t2)) % 0.36/0.58 (define @t11 () (not (= @t3 @t2))) % 0.36/0.58 (define @t12 () (tptp.op1 @t1 @t1)) % 0.36/0.58 (define @t13 () (tptp.op1 @t2 @t2)) % 0.36/0.58 (define @t14 () (and @t4 (= @t13 @t1) (= @t12 @t2) @t11)) % 0.36/0.58 (define @t15 () (exists @t5 @t14)) % 0.36/0.58 (define @t16 () (and @t6 @t15)) % 0.36/0.58 (define @t17 () (exists @t7 @t16)) % 0.36/0.58 (define @t18 () (not (= @t8 @t2))) % 0.36/0.58 (define @t19 () (tptp.op2 @t1 @t1)) % 0.36/0.58 (define @t20 () (tptp.op2 @t2 @t2)) % 0.36/0.58 (define @t21 () (and @t9 (= @t20 @t1) (= @t19 @t2) @t18)) % 0.36/0.58 (define @t22 () (exists @t5 @t21)) % 0.36/0.58 (define @t23 () (and @t10 @t22)) % 0.36/0.58 (define @t24 () (exists @t7 @t23)) % 0.36/0.58 (define @t25 () (not @t24)) % 0.36/0.58 (define @t26 () (@var "X2" $$unsorted)) % 0.36/0.58 (define @t27 () (tptp.j (tptp.h @t26))) % 0.36/0.58 (define @t28 () (tptp.sorti1 @t26)) % 0.36/0.58 (define @t29 () (=> @t28 (= @t27 @t26))) % 0.36/0.58 (define @t30 () (@list @t26)) % 0.36/0.58 (define @t31 () (forall @t30 @t29)) % 0.36/0.58 (define @t32 () (@var "X1" $$unsorted)) % 0.36/0.58 (define @t33 () (tptp.h (tptp.j @t32))) % 0.36/0.58 (define @t34 () (tptp.sorti2 @t32)) % 0.36/0.58 (define @t35 () (=> @t34 (= @t33 @t32))) % 0.36/0.58 (define @t36 () (@list @t32)) % 0.36/0.58 (define @t37 () (forall @t36 @t35)) % 0.36/0.58 (define @t38 () (@var "Z" $$unsorted)) % 0.36/0.58 (define @t39 () (@var "Y" $$unsorted)) % 0.36/0.58 (define @t40 () (tptp.j @t39)) % 0.36/0.58 (define @t41 () (= (tptp.j (tptp.op2 @t39 @t38)) (tptp.op1 @t40 (tptp.j @t38)))) % 0.36/0.58 (define @t42 () (tptp.sorti2 @t38)) % 0.36/0.58 (define @t43 () (@list @t38)) % 0.36/0.58 (define @t44 () (forall @t43 (=> @t42 @t41))) % 0.36/0.58 (define @t45 () (tptp.sorti2 @t39)) % 0.36/0.58 (define @t46 () (=> @t45 @t44)) % 0.36/0.58 (define @t47 () (@list @t39)) % 0.36/0.58 (define @t48 () (forall @t47 @t46)) % 0.36/0.58 (define @t49 () (@var "X" $$unsorted)) % 0.36/0.58 (define @t50 () (@var "W" $$unsorted)) % 0.36/0.58 (define @t51 () (tptp.h @t50)) % 0.36/0.58 (define @t52 () (= (tptp.h (tptp.op1 @t50 @t49)) (tptp.op2 @t51 (tptp.h @t49)))) % 0.36/0.58 (define @t53 () (tptp.sorti1 @t49)) % 0.36/0.58 (define @t54 () (@list @t49)) % 0.36/0.58 (define @t55 () (forall @t54 (=> @t53 @t52))) % 0.36/0.58 (define @t56 () (tptp.sorti1 @t50)) % 0.36/0.58 (define @t57 () (=> @t56 @t55)) % 0.36/0.58 (define @t58 () (@list @t50)) % 0.36/0.58 (define @t59 () (forall @t58 @t57)) % 0.36/0.58 (define @t60 () (and @t59 @t48 @t37 @t31)) % 0.36/0.58 (define @t61 () (not @t60)) % 0.36/0.58 (define @t62 () (tptp.sorti1 (tptp.j @t1))) % 0.36/0.58 (define @t63 () (forall @t5 (=> @t9 @t62))) % 0.36/0.58 (define @t64 () (tptp.sorti2 (tptp.h @t2))) % 0.36/0.58 (define @t65 () (forall @t7 (=> @t6 @t64))) % 0.36/0.58 (define @t66 () (and @t65 @t63)) % 0.36/0.58 (define @t67 () (=> @t66 @t61)) % 0.36/0.58 (define @t68 () (not @t67)) % 0.36/0.58 (define @t69 () (= @t2 (tptp.op1 @t2 @t13))) % 0.36/0.58 (define @t70 () (not (= @t2 (tptp.op1 @t13 @t13)))) % 0.36/0.58 (define @t71 () (not (tptp.sorti1 @t13))) % 0.36/0.58 (define @t72 () (not @t6)) % 0.36/0.58 (define @t73 () (or @t72 @t71 @t70 @t69)) % 0.36/0.58 (define @t74 () (or @t71 @t70 @t69)) % 0.36/0.58 (define @t75 () (not @t74)) % 0.36/0.58 (define @t76 () (and @t6 @t75)) % 0.36/0.58 (define @t77 () (forall @t7 (not @t76))) % 0.36/0.58 (define @t78 () (not @t77)) % 0.36/0.58 (define @t79 () (not (= @t13 @t13))) % 0.36/0.58 (define @t80 () (or @t71 @t79 @t70 @t69)) % 0.36/0.58 (define @t81 () (= @t2 @t3)) % 0.36/0.58 (define @t82 () (= @t2 @t12)) % 0.36/0.58 (define @t83 () (not @t82)) % 0.36/0.58 (define @t84 () (= @t1 @t13)) % 0.36/0.58 (define @t85 () (not @t84)) % 0.36/0.58 (define @t86 () (not @t4)) % 0.36/0.58 (define @t87 () (or @t85 @t86 @t85 @t83 @t81)) % 0.36/0.58 (define @t88 () (or @t86 @t85 @t83 @t81)) % 0.36/0.58 (define @t89 () (not @t81)) % 0.36/0.58 (define @t90 () (not @t89)) % 0.36/0.58 (define @t91 () (or @t86 @t85 @t83 @t90)) % 0.36/0.58 (define @t92 () (and @t4 @t84 @t82 @t89)) % 0.36/0.58 (define @t93 () (forall @t5 (not @t92))) % 0.36/0.58 (define @t94 () (not @t93)) % 0.36/0.58 (define @t95 () (@quantifiers_skolemize (forall @t7 @t73) 0)) % 0.36/0.58 (define @t96 () (tptp.op1 @t95 @t95)) % 0.36/0.58 (define @t97 () (tptp.op1 @t95 @t96)) % 0.36/0.58 (define @t98 () (= @t95 @t97)) % 0.36/0.58 (define @t99 () (tptp.op1 @t96 @t96)) % 0.36/0.58 (define @t100 () (= @t95 @t99)) % 0.36/0.58 (define @t101 () (not @t100)) % 0.36/0.58 (define @t102 () (tptp.sorti1 @t96)) % 0.36/0.58 (define @t103 () (not @t102)) % 0.36/0.58 (define @t104 () (tptp.sorti1 @t95)) % 0.36/0.58 (define @t105 () (not @t104)) % 0.36/0.58 (define @t106 () (or @t105 @t103 @t101 @t98)) % 0.36/0.58 (define @t107 () (not @t98)) % 0.36/0.58 (define @t108 () (@list true)) % 0.36/0.58 (define @t109 () (@list @t106)) % 0.36/0.58 (define @t110 () (= @t26 @t27)) % 0.36/0.58 (define @t111 () (= @t32 @t33)) % 0.36/0.58 (define @t112 () (@var "BOUND_VARIABLE_7667" $$unsorted)) % 0.36/0.58 (define @t113 () (= (tptp.j (tptp.op2 @t39 @t112)) (tptp.op1 @t40 (tptp.j @t112)))) % 0.36/0.58 (define @t114 () (not (tptp.sorti2 @t112))) % 0.36/0.58 (define @t115 () (not @t45)) % 0.36/0.58 (define @t116 () (or @t114 @t113)) % 0.36/0.58 (define @t117 () (or @t115 @t116)) % 0.36/0.58 (define @t118 () (forall (@list @t39 @t112) @t117)) % 0.36/0.58 (define @t119 () (@list @t112)) % 0.36/0.58 (define @t120 () (forall @t119 @t117)) % 0.36/0.58 (define @t121 () (forall @t119 @t116)) % 0.36/0.58 (define @t122 () (or @t115 @t121)) % 0.36/0.58 (define @t123 () (forall @t43 (or (not @t42) @t41))) % 0.36/0.58 (define @t124 () (@var "BOUND_VARIABLE_7644" $$unsorted)) % 0.36/0.58 (define @t125 () (= (tptp.h (tptp.op1 @t50 @t124)) (tptp.op2 @t51 (tptp.h @t124)))) % 0.36/0.58 (define @t126 () (not (tptp.sorti1 @t124))) % 0.36/0.58 (define @t127 () (not @t56)) % 0.36/0.58 (define @t128 () (or @t126 @t125)) % 0.36/0.58 (define @t129 () (or @t127 @t128)) % 0.36/0.58 (define @t130 () (forall (@list @t50 @t124) @t129)) % 0.36/0.58 (define @t131 () (@list @t124)) % 0.36/0.58 (define @t132 () (forall @t131 @t129)) % 0.36/0.58 (define @t133 () (forall @t131 @t128)) % 0.36/0.58 (define @t134 () (or @t127 @t133)) % 0.36/0.58 (define @t135 () (forall @t54 (or (not @t53) @t52))) % 0.36/0.58 (define @t136 () (tptp.h @t95)) % 0.36/0.58 (define @t137 () (tptp.op2 @t136 @t136)) % 0.36/0.58 (define @t138 () (tptp.h @t96)) % 0.36/0.58 (define @t139 () (= @t138 @t137)) % 0.36/0.58 (define @t140 () (or @t105 @t105 @t139)) % 0.36/0.58 (define @t141 () (@list false false)) % 0.36/0.58 (define @t142 () (tptp.op2 @t136 @t138)) % 0.36/0.58 (define @t143 () (tptp.h @t97)) % 0.36/0.58 (define @t144 () (= @t143 @t142)) % 0.36/0.58 (define @t145 () (or @t105 @t103 @t144)) % 0.36/0.58 (define @t146 () (@list false false false)) % 0.36/0.58 (define @t147 () (@list @t95)) % 0.36/0.58 (define @t148 () (tptp.j @t136)) % 0.36/0.58 (define @t149 () (= @t95 @t148)) % 0.36/0.58 (define @t150 () (or @t105 @t149)) % 0.36/0.58 (define @t151 () (@list @t96)) % 0.36/0.58 (define @t152 () (tptp.j @t138)) % 0.36/0.58 (define @t153 () (= @t96 @t152)) % 0.36/0.58 (define @t154 () (or @t103 @t153)) % 0.36/0.58 (define @t155 () (= @t2 (tptp.op2 @t2 @t20))) % 0.36/0.58 (define @t156 () (not (= @t2 (tptp.op2 @t20 @t20)))) % 0.36/0.58 (define @t157 () (not (tptp.sorti2 @t20))) % 0.36/0.58 (define @t158 () (not @t10)) % 0.36/0.58 (define @t159 () (or @t158 @t157 @t156 @t155)) % 0.36/0.58 (define @t160 () (or @t157 @t156 @t155)) % 0.36/0.58 (define @t161 () (not @t160)) % 0.36/0.58 (define @t162 () (and @t10 @t161)) % 0.36/0.58 (define @t163 () (forall @t7 (not @t162))) % 0.36/0.58 (define @t164 () (not @t163)) % 0.36/0.58 (define @t165 () (not (= @t20 @t20))) % 0.36/0.58 (define @t166 () (or @t157 @t165 @t156 @t155)) % 0.36/0.58 (define @t167 () (= @t2 @t8)) % 0.36/0.58 (define @t168 () (= @t2 @t19)) % 0.36/0.58 (define @t169 () (not @t168)) % 0.36/0.58 (define @t170 () (= @t1 @t20)) % 0.36/0.58 (define @t171 () (not @t170)) % 0.36/0.58 (define @t172 () (not @t9)) % 0.36/0.58 (define @t173 () (or @t171 @t172 @t171 @t169 @t167)) % 0.36/0.58 (define @t174 () (or @t172 @t171 @t169 @t167)) % 0.36/0.58 (define @t175 () (not @t167)) % 0.36/0.58 (define @t176 () (not @t175)) % 0.36/0.58 (define @t177 () (or @t172 @t171 @t169 @t176)) % 0.36/0.58 (define @t178 () (and @t9 @t170 @t168 @t175)) % 0.36/0.58 (define @t179 () (forall @t5 (not @t178))) % 0.36/0.58 (define @t180 () (not @t179)) % 0.36/0.58 (define @t181 () (tptp.op2 @t138 @t138)) % 0.36/0.58 (define @t182 () (= (tptp.h @t99) @t181)) % 0.36/0.58 (define @t183 () (or @t103 @t103 @t182)) % 0.36/0.58 (define @t184 () (tptp.sorti2 @t138)) % 0.36/0.58 (define @t185 () (or @t103 @t184)) % 0.36/0.58 (define @t186 () (tptp.sorti2 @t137)) % 0.36/0.58 (define @t187 () (tptp.sorti2 @t136)) % 0.36/0.58 (define @t188 () (or @t105 @t187)) % 0.36/0.58 (define @t189 () (= @t136 (tptp.op2 @t136 @t137))) % 0.36/0.58 (define @t190 () (= @t136 (tptp.op2 @t137 @t137))) % 0.36/0.58 (define @t191 () (not @t190)) % 0.36/0.58 (define @t192 () (not @t186)) % 0.36/0.58 (define @t193 () (not @t187)) % 0.36/0.58 (define @t194 () (or @t193 @t192 @t191 @t189)) % 0.36/0.58 (define @t195 () (tptp.op1 @t148 @t152)) % 0.36/0.58 (define @t196 () (tptp.j @t142)) % 0.36/0.58 (define @t197 () (= @t196 @t195)) % 0.36/0.58 (define @t198 () (not @t184)) % 0.36/0.58 (define @t199 () (or @t193 @t198 @t197)) % 0.36/0.58 (define @t200 () (not @t197)) % 0.36/0.58 (define @t201 () (not @t189)) % 0.36/0.58 (define @t202 () (not @t153)) % 0.36/0.58 (define @t203 () (not @t149)) % 0.36/0.58 (define @t204 () (not @t144)) % 0.36/0.58 (define @t205 () (not @t139)) % 0.36/0.58 (define @t206 () (and @t107 @t139 @t144 @t149 @t153 @t189)) % 0.36/0.58 (assume @p1 (forall @t7 (=> @t6 (forall @t5 (=> @t4 (tptp.sorti1 @t3)))))) % 0.36/0.58 (assume @p2 (forall @t7 (=> @t10 (forall @t5 (=> @t9 (tptp.sorti2 @t8)))))) % 0.36/0.58 (assume @p3 @t17) % 0.36/0.58 (assume @p4 @t25) % 0.36/0.58 (assume @p5 @t68) % 0.36/0.58 (assume @p6 true) % 0.36/0.58 (step @p7 :rule aci_norm :args ((= (or @t72 @t74) @t73))) % 0.36/0.58 (step @p8 :rule bool-double-not-elim :args (@t74)) % 0.36/0.58 (step @p9 :rule refl :args (@t72)) % 0.36/0.58 (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((or @t72 (not @t75)))) % 0.36/0.58 (step @p11 :rule bool-and-de-morgan :args (@t6 @t75 true)) % 0.36/0.58 (step @p12 :rule trans :premises (@p11 @p10)) % 0.36/0.58 (step @p13 :rule trans :premises (@p12 @p7)) % 0.36/0.58 (step @p14 :rule cong :premises (@p13) :args (@t77)) % 0.36/0.58 (step @p15 :rule cong :premises (@p14) :args (@t78)) % 0.36/0.58 (step @p16 :rule exists-elim :args ((= (exists @t7 @t76) @t78))) % 0.36/0.58 (step @p17 :rule trans :premises (@p16 @p15)) % 0.36/0.58 (step @p18 :rule aci_norm :args ((= (or @t71 false @t70 @t69) @t74))) % 0.36/0.58 (step @p19 :rule refl :args (@t69)) % 0.36/0.58 (step @p20 :rule refl :args (@t70)) % 0.36/0.58 (step @p21 :rule evaluate :args ((not true))) % 0.36/0.58 (step @p22 :rule eq-refl :args (@t13)) % 0.36/0.58 (step @p23 :rule cong :premises (@p22) :args (@t79)) % 0.36/0.58 (step @p24 :rule trans :premises (@p23 @p21)) % 0.36/0.58 (step @p25 :rule refl :args (@t71)) % 0.36/0.58 (step @p26 :rule nary_cong :premises (@p25 @p24 @p20 @p19) :args (@t80)) % 0.36/0.58 (step @p27 :rule trans :premises (@p26 @p18)) % 0.36/0.58 (step @p28 :rule quant-var-elim-eq :args ((= (forall @t5 @t87) @t80))) % 0.36/0.58 (step @p29 :rule aci_norm :args ((= @t88 @t87))) % 0.36/0.58 (step @p30 :rule cong :premises (@p29) :args ((forall @t5 @t88))) % 0.36/0.58 (step @p31 :rule trans :premises (@p30 @p28)) % 0.36/0.58 (step @p32 :rule trans :premises (@p31 @p27)) % 0.36/0.58 (step @p33 :rule bool-double-not-elim :args (@t81)) % 0.36/0.58 (step @p34 :rule refl :args (@t83)) % 0.36/0.58 (step @p35 :rule refl :args (@t85)) % 0.36/0.58 (step @p36 :rule refl :args (@t86)) % 0.36/0.58 (step @p37 :rule nary_cong :premises (@p36 @p35 @p34 @p33) :args (@t91)) % 0.36/0.58 (step @p38 :rule aci_norm :args ((= (or @t86 (or @t85 (or @t83 @t90))) @t91))) % 0.36/0.58 (step @p39 :rule trans :premises (@p38 @p37)) % 0.36/0.58 (step @p40 :rule bool-and-de-morgan :args (@t82 @t89 true)) % 0.36/0.58 (step @p41 :rule nary_cong :premises (@p35 @p40) :args ((or @t85 (not (and @t82 @t89))))) % 0.36/0.58 (step @p42 :rule bool-and-de-morgan :args (@t84 @t82 (and @t89))) % 0.36/0.58 (step @p43 :rule trans :premises (@p42 @p41)) % 0.36/0.58 (step @p44 :rule nary_cong :premises (@p36 @p43) :args ((or @t86 (not (and @t84 @t82 @t89))))) % 0.36/0.58 (step @p45 :rule bool-and-de-morgan :args (@t4 @t84 (and @t82 @t89))) % 0.36/0.58 (step @p46 :rule trans :premises (@p45 @p44)) % 0.36/0.58 (step @p47 :rule trans :premises (@p46 @p39)) % 0.36/0.58 (step @p48 :rule cong :premises (@p47) :args (@t93)) % 0.36/0.58 (step @p49 :rule trans :premises (@p48 @p32)) % 0.36/0.58 (step @p50 :rule cong :premises (@p49) :args (@t94)) % 0.36/0.58 (step @p51 :rule exists-elim :args ((= (exists @t5 @t92) @t94))) % 0.36/0.58 (step @p52 :rule trans :premises (@p51 @p50)) % 0.36/0.58 (step @p53 :rule eq-symm :args (@t3 @t2)) % 0.36/0.58 (step @p54 :rule cong :premises (@p53) :args (@t11)) % 0.36/0.58 (step @p55 :rule eq-symm :args (@t12 @t2)) % 0.36/0.58 (step @p56 :rule eq-symm :args (@t13 @t1)) % 0.36/0.58 (step @p57 :rule refl :args (@t4)) % 0.36/0.58 (step @p58 :rule nary_cong :premises (@p57 @p56 @p55 @p54) :args (@t14)) % 0.36/0.58 (step @p59 :rule cong :premises (@p58) :args (@t15)) % 0.36/0.58 (step @p60 :rule trans :premises (@p59 @p52)) % 0.36/0.58 (step @p61 :rule refl :args (@t6)) % 0.36/0.58 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t16)) % 0.36/0.58 (step @p63 :rule cong :premises (@p62) :args (@t17)) % 0.36/0.58 (step @p64 :rule trans :premises (@p63 @p17)) % 0.36/0.58 (step @p65 :rule eq_resolve :premises (@p3 @p64)) % 0.36/0.58 (step @p66 :rule skolemize :premises (@p65)) % 0.36/0.58 (step @p67 :rule cnf_or_neg :args (@t106 3)) % 0.36/0.58 (step @p68 :rule chain_m_resolution :premises (@p67 @p66) :args (@t107 @t108 @t109)) % 0.36/0.58 (step @p69 :rule bool-impl-elim :args (@t28 @t110)) % 0.36/0.58 (step @p70 :rule cong :premises (@p69) :args ((forall @t30 (=> @t28 @t110)))) % 0.36/0.58 (step 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@p264 :rule instantiate :premises (@p263) :args ((@list @t136 @t138))) % 0.36/0.58 (step @p265 :rule cnf_or_pos :args (@t199)) % 0.36/0.58 (step @p266 :rule reordering :premises (@p265) :args ((or @t193 @t198 @t197 (not @t199)))) % 0.36/0.58 (step @p267 :rule chain_m_resolution :premises (@p266 @p259 @p250 @p264) :args (@t197 @t146 (@list @t187 @t184 @t199))) % 0.36/0.58 (step @p268 :rule refl :args (@t200)) % 0.36/0.58 (step @p269 :rule refl :args (@t201)) % 0.36/0.58 (step @p270 :rule refl :args (@t202)) % 0.36/0.58 (step @p271 :rule refl :args (@t203)) % 0.36/0.58 (step @p272 :rule refl :args (@t204)) % 0.36/0.58 (step @p273 :rule refl :args (@t205)) % 0.36/0.58 (step @p274 :rule bool-double-not-elim :args (@t98)) % 0.36/0.58 (step @p275 :rule nary_cong :premises (@p274 @p273 @p272 @p271 @p270 @p269 @p268) :args ((or (not @t107) @t205 @t204 @t203 @t202 @t201 @t200))) % 0.36/0.58 (assume-push @p309 @t107) % 0.36/0.58 (assume-push @p310 @t139) % 0.36/0.58 (assume-push @p311 @t144) % 0.36/0.58 (assume-push @p312 @t149) % 0.36/0.58 (assume-push @p313 @t153) % 0.36/0.58 (assume-push @p314 @t189) % 0.36/0.58 (step @p282 :rule false_intro :premises (@p68)) % 0.36/0.58 (step @p283 :rule symm :premises (@p168)) % 0.36/0.58 (step @p284 :rule symm :premises (@p164)) % 0.36/0.58 (step @p285 :rule cong :premises (@p284 @p283) :args (@t195)) % 0.36/0.58 (step @p286 :rule symm :premises (@p262)) % 0.36/0.58 (step @p287 :rule refl :args (@t136)) % 0.36/0.58 (step @p288 :rule cong :premises (@p287 @p149) :args (@t142)) % 0.36/0.58 (step @p289 :rule trans :premises (@p159 @p288 @p286)) % 0.36/0.58 (step @p290 :rule cong :premises (@p289) :args ((tptp.j @t143))) % 0.36/0.58 (step @p291 :rule symm :premises (@p159)) % 0.36/0.58 (step @p292 :rule cong :premises (@p291) :args (@t196)) % 0.36/0.58 (step @p293 :rule trans :premises (@p292 @p290 @p284)) % 0.36/0.58 (step @p294 :rule cong :premises (@p293 @p285) :args (@t197)) % 0.36/0.58 (step @p295 :rule trans :premises (@p294 @p282)) % 0.36/0.58 (step @p296 :rule false_elim :premises (@p295)) % 0.36/0.58 (step-pop @p315 :rule scope :premises (@p296)) % 0.36/0.58 (step-pop @p316 :rule scope :premises (@p315)) % 0.36/0.58 (step-pop @p317 :rule scope :premises (@p316)) % 0.36/0.58 (step-pop @p318 :rule scope :premises (@p317)) % 0.36/0.58 (step-pop @p319 :rule scope :premises (@p318)) % 0.36/0.58 (step-pop @p320 :rule scope :premises (@p319)) % 0.36/0.58 (step @p297 :rule process_scope :premises (@p320) :args (@t200)) % 0.36/0.58 (step @p304 :rule implies_elim :premises (@p297)) % 0.36/0.58 (step @p305 :rule cnf_and_neg :args (@t206)) % 0.36/0.58 (step @p306 :rule resolution :premises (@p305 @p304) :args (true @t206)) % 0.36/0.58 (step @p307 :rule eq_resolve :premises (@p306 @p275)) % 0.36/0.58 (step @p308 false :rule chain_m_resolution :premises (@p307 @p267 @p262 @p168 @p164 @p159 @p149 @p68) :args (false (@list false false false false false false true) (@list @t197 @t189 @t153 @t149 @t144 @t139 @t98))) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------