%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT037_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:14:23 AM UTC 2026 % Result : Theorem 0.84s 1.08s % Output : Proof 0.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : DAT037_1 : TPTP v9.2.1. Released v5.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Mon Jun 1 22:26:48 EDT 2026 % 0.06/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_ARI % 0.84/1.08 --- Run --finite-model-find --decision=internal at 45... % 0.84/1.08 % SZS status Theorem % 0.84/1.08 % SZS output start Proof % 0.84/1.08 ( % 0.84/1.08 (declare-sort tptp.collection 0) % 0.84/1.08 (declare-const tptp.count (-> tptp.collection Int)) % 0.84/1.08 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 0.84/1.08 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 0.84/1.08 (declare-const tptp.in (-> Int tptp.collection Bool)) % 0.84/1.08 (declare-const tptp.empty tptp.collection) % 0.84/1.08 (define @t1 () (@var "U" Int)) % 0.84/1.08 (define @t2 () (@var "W" tptp.collection)) % 0.84/1.08 (define @t3 () (@var "V" Int)) % 0.84/1.08 (define @t4 () (@var "Y" tptp.collection)) % 0.84/1.08 (define @t5 () (@var "X" Int)) % 0.84/1.08 (define @t6 () (@var "X1" tptp.collection)) % 0.84/1.08 (define @t7 () (@var "X2" Int)) % 0.84/1.08 (define @t8 () (@var "Z" Int)) % 0.84/1.08 (define @t9 () (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6))))) % 0.84/1.08 (define @t10 () (@var "X4" tptp.collection)) % 0.84/1.08 (define @t11 () (@var "X5" Int)) % 0.84/1.08 (define @t12 () (@var "X3" Int)) % 0.84/1.08 (define @t13 () (forall (@list @t12 @t10 @t11) (= (and (tptp.in @t12 @t10) (not (= @t12 @t11))) (tptp.in @t12 (tptp.remove @t11 @t10))))) % 0.84/1.08 (define @t14 () (@var "X6" tptp.collection)) % 0.84/1.08 (define @t15 () (@var "X7" tptp.collection)) % 0.84/1.08 (define @t16 () (= (tptp.count @t15) 0)) % 0.84/1.08 (define @t17 () (= (= @t15 tptp.empty) @t16)) % 0.84/1.08 (define @t18 () (@list @t15)) % 0.84/1.08 (define @t19 () (forall @t18 @t17)) % 0.84/1.08 (define @t20 () (@var "X9" tptp.collection)) % 0.84/1.08 (define @t21 () (@var "X8" Int)) % 0.84/1.08 (define @t22 () (@var "X11" tptp.collection)) % 0.84/1.08 (define @t23 () (@var "X10" Int)) % 0.84/1.08 (define @t24 () (@var "X13" tptp.collection)) % 0.84/1.08 (define @t25 () (tptp.count @t24)) % 0.84/1.08 (define @t26 () (- @t25 1)) % 0.84/1.08 (define @t27 () (@var "X12" Int)) % 0.84/1.08 (define @t28 () (tptp.count (tptp.remove @t27 @t24))) % 0.84/1.08 (define @t29 () (= @t28 @t26)) % 0.84/1.08 (define @t30 () (tptp.in @t27 @t24)) % 0.84/1.08 (define @t31 () (= @t30 @t29)) % 0.84/1.08 (define @t32 () (@list @t27 @t24)) % 0.84/1.08 (define @t33 () (forall @t32 @t31)) % 0.84/1.08 (define @t34 () (@var "X15" tptp.collection)) % 0.84/1.08 (define @t35 () (@var "X14" Int)) % 0.84/1.08 (define @t36 () (forall (@list @t35 @t34) (= (not (tptp.in @t35 @t34)) (= (tptp.count (tptp.remove @t35 @t34)) (tptp.count @t34))))) % 0.84/1.08 (define @t37 () (@var "X17" tptp.collection)) % 0.84/1.08 (define @t38 () (@var "X16" Int)) % 0.84/1.08 (define @t39 () (= @t37 (tptp.add @t38 (tptp.remove @t38 @t37)))) % 0.84/1.08 (define @t40 () (tptp.in @t38 @t37)) % 0.84/1.08 (define @t41 () (forall (@list @t38 @t37) (=> @t40 @t39))) % 0.84/1.08 (define @t42 () (@var "U" tptp.collection)) % 0.84/1.08 (define @t43 () (not (tptp.in 5 @t42))) % 0.84/1.08 (define @t44 () (= (tptp.count @t42) 1)) % 0.84/1.08 (define @t45 () (tptp.in 2 @t42)) % 0.84/1.08 (define @t46 () (and @t45 @t44)) % 0.84/1.08 (define @t47 () (@list @t42)) % 0.84/1.08 (define @t48 () (forall @t47 (=> @t46 @t43))) % 0.84/1.08 (define @t49 () (not @t48)) % 0.84/1.08 (define @t50 () (not @t44)) % 0.84/1.08 (define @t51 () (not @t45)) % 0.84/1.08 (define @t52 () (or @t51 @t50 @t43)) % 0.84/1.08 (define @t53 () (@quantifiers_skolemize (forall @t47 @t52) 0)) % 0.84/1.08 (define @t54 () (tptp.count @t53)) % 0.84/1.08 (define @t55 () (= @t54 1)) % 0.84/1.08 (define @t56 () (tptp.in 5 @t53)) % 0.84/1.08 (define @t57 () (not @t56)) % 0.84/1.08 (define @t58 () (not @t55)) % 0.84/1.08 (define @t59 () (tptp.in 2 @t53)) % 0.84/1.08 (define @t60 () (not @t59)) % 0.84/1.08 (define @t61 () (or @t60 @t58 @t57)) % 0.84/1.08 (define @t62 () (@list true)) % 0.84/1.08 (define @t63 () (@list @t61)) % 0.84/1.08 (define @t64 () (+ -1 @t25)) % 0.84/1.08 (define @t65 () (* -1 1)) % 0.84/1.08 (define @t66 () (+ @t25 @t65)) % 0.84/1.08 (define @t67 () (tptp.remove 0 @t53)) % 0.84/1.08 (define @t68 () (tptp.remove 2 @t67)) % 0.84/1.08 (define @t69 () (tptp.count @t68)) % 0.84/1.08 (define @t70 () (+ 1 @t69)) % 0.84/1.08 (define @t71 () (tptp.count @t67)) % 0.84/1.08 (define @t72 () (- @t71 @t70)) % 0.84/1.08 (define @t73 () (+ -1 @t71)) % 0.84/1.08 (define @t74 () (= @t71 @t70)) % 0.84/1.08 (define @t75 () (= @t69 @t73)) % 0.84/1.08 (define @t76 () (tptp.in 2 @t67)) % 0.84/1.08 (define @t77 () (= @t76 @t75)) % 0.84/1.08 (define @t78 () (forall @t32 (= @t30 (= @t28 @t64)))) % 0.84/1.08 (define @t79 () (@list 2 @t67)) % 0.84/1.08 (define @t80 () (= @t76 @t74)) % 0.84/1.08 (define @t81 () (@list false)) % 0.84/1.08 (define @t82 () (@list @t78)) % 0.84/1.08 (define @t83 () (= 2 0)) % 0.84/1.08 (define @t84 () (not @t83)) % 0.84/1.08 (define @t85 () (and @t59 @t84)) % 0.84/1.08 (define @t86 () (= @t85 @t76)) % 0.84/1.08 (define @t87 () (= @t59 @t76)) % 0.84/1.08 (define @t88 () (@list @t13)) % 0.84/1.08 (define @t89 () (@list false false)) % 0.84/1.08 (define @t90 () (not @t76)) % 0.84/1.08 (define @t91 () (- @t54 @t71)) % 0.84/1.08 (define @t92 () (= @t54 @t71)) % 0.84/1.08 (define @t93 () (= @t71 @t54)) % 0.84/1.08 (define @t94 () (tptp.in 0 @t53)) % 0.84/1.08 (define @t95 () (not @t94)) % 0.84/1.08 (define @t96 () (= @t95 @t93)) % 0.84/1.08 (define @t97 () (@list 0 @t53)) % 0.84/1.08 (define @t98 () (= @t95 @t92)) % 0.84/1.08 (define @t99 () (+ 1 @t71)) % 0.84/1.08 (define @t100 () (- @t54 @t99)) % 0.84/1.08 (define @t101 () (+ -1 @t54)) % 0.84/1.08 (define @t102 () (= @t54 @t99)) % 0.84/1.08 (define @t103 () (= @t71 @t101)) % 0.84/1.08 (define @t104 () (= @t94 @t103)) % 0.84/1.08 (define @t105 () (= @t94 @t102)) % 0.84/1.08 (define @t106 () (>= @t71 1)) % 0.84/1.08 (define @t107 () (<= 0 -1)) % 0.84/1.08 (define @t108 () (+ @t65 @t65 1)) % 0.84/1.08 (define @t109 () (* -1 @t54)) % 0.84/1.08 (define @t110 () (+ @t109 @t71)) % 0.84/1.08 (define @t111 () (* -1 @t71)) % 0.84/1.08 (define @t112 () (+ @t54 @t111)) % 0.84/1.08 (define @t113 () (* -1 @t112)) % 0.84/1.08 (define @t114 () (= @t113 @t110)) % 0.84/1.08 (define @t115 () (+ @t111 @t113 @t54)) % 0.84/1.08 (define @t116 () (= @t112 1)) % 0.84/1.08 (define @t117 () (= (* -1 (- @t112 1)) (* -1 @t100))) % 0.84/1.08 (define @t118 () (= @t116 @t102)) % 0.84/1.08 (define @t119 () (< -1 0)) % 0.84/1.08 (define @t120 () (not @t106)) % 0.84/1.08 (define @t121 () (not @t102)) % 0.84/1.08 (define @t122 () (= tptp.empty @t15)) % 0.84/1.08 (define @t123 () (= @t71 0)) % 0.84/1.08 (define @t124 () (= tptp.empty @t67)) % 0.84/1.08 (define @t125 () (forall @t18 (= @t16 @t122))) % 0.84/1.08 (define @t126 () (= @t123 @t124)) % 0.84/1.08 (define @t127 () (= @t124 @t123)) % 0.84/1.08 (define @t128 () (@list @t125)) % 0.84/1.08 (define @t129 () (tptp.in 2 tptp.empty)) % 0.84/1.08 (define @t130 () (not @t124)) % 0.84/1.08 (define @t131 () (not @t129)) % 0.84/1.08 (define @t132 () (and @t131 @t124 @t76)) % 0.84/1.08 (define @t133 () (not @t123)) % 0.84/1.08 (define @t134 () (@list true false)) % 0.84/1.08 (define @t135 () (+ -1 1)) % 0.84/1.08 (define @t136 () (>= @t71 @t135)) % 0.84/1.08 (define @t137 () (<= @t71 -1)) % 0.84/1.08 (define @t138 () (+ -1 1 @t65)) % 0.84/1.08 (define @t139 () (+ @t109 @t111 @t71 @t54)) % 0.84/1.08 (define @t140 () (+ @t71 @t112 @t109)) % 0.84/1.08 (define @t141 () (and @t55 @t102 @t133 @t120)) % 0.84/1.08 (define @t142 () (not @t98)) % 0.84/1.08 (define @t143 () (= @t69 0)) % 0.84/1.08 (define @t144 () (= tptp.empty @t68)) % 0.84/1.08 (define @t145 () (= @t143 @t144)) % 0.84/1.08 (define @t146 () (= @t144 @t143)) % 0.84/1.08 (define @t147 () (= @t67 (tptp.add 2 @t68))) % 0.84/1.08 (define @t148 () (or @t90 @t147)) % 0.84/1.08 (define @t149 () (tptp.add 2 tptp.empty)) % 0.84/1.08 (define @t150 () (tptp.in 5 @t149)) % 0.84/1.08 (define @t151 () (tptp.in 5 tptp.empty)) % 0.84/1.08 (define @t152 () (= 5 2)) % 0.84/1.08 (define @t153 () (or @t151 @t152)) % 0.84/1.08 (define @t154 () (= @t153 @t150)) % 0.84/1.08 (define @t155 () (= @t151 @t150)) % 0.84/1.08 (define @t156 () (not @t150)) % 0.84/1.08 (define @t157 () (tptp.in 5 @t67)) % 0.84/1.08 (define @t158 () (= 5 0)) % 0.84/1.08 (define @t159 () (not @t158)) % 0.84/1.08 (define @t160 () (and @t56 @t159)) % 0.84/1.08 (define @t161 () (= @t160 @t157)) % 0.84/1.08 (define @t162 () (= @t56 @t157)) % 0.84/1.08 (define @t163 () (not @t144)) % 0.84/1.08 (define @t164 () (not @t147)) % 0.84/1.08 (define @t165 () (not @t157)) % 0.84/1.08 (define @t166 () (and @t157 @t147 @t144 @t156)) % 0.84/1.08 (define @t167 () (@list false true false)) % 0.84/1.08 (define @t168 () (not @t143)) % 0.84/1.08 (define @t169 () (>= @t112 1)) % 0.84/1.08 (define @t170 () (+ @t65 0)) % 0.84/1.08 (define @t171 () (* 0 @t54)) % 0.84/1.08 (define @t172 () (* 0 @t71)) % 0.84/1.08 (define @t173 () (+ @t172 @t171)) % 0.84/1.08 (define @t174 () (+ @t113 @t112)) % 0.84/1.08 (define @t175 () (= (* 1 (- @t112 0)) (* 1 @t91))) % 0.84/1.08 (define @t176 () (= @t112 0)) % 0.84/1.08 (define @t177 () (= @t176 @t92)) % 0.84/1.08 (define @t178 () (not @t169)) % 0.84/1.08 (define @t179 () (>= @t69 0)) % 0.84/1.08 (define @t180 () (not @t74)) % 0.84/1.08 (define @t181 () (not @t179)) % 0.84/1.08 (define @t182 () (>= @t69 @t135)) % 0.84/1.08 (define @t183 () (<= @t69 -1)) % 0.84/1.08 (define @t184 () (+ -1 1 1 @t65)) % 0.84/1.08 (define @t185 () (* -1 @t69)) % 0.84/1.08 (define @t186 () (+ @t185 @t69 @t109 @t111 @t71 @t54)) % 0.84/1.08 (define @t187 () (+ @t71 @t185)) % 0.84/1.08 (define @t188 () (+ @t69 @t112 @t187 @t109)) % 0.84/1.08 (define @t189 () (>= @t188 @t184)) % 0.84/1.08 (define @t190 () (= (* -1 (- @t187 1)) (* -1 @t72))) % 0.84/1.08 (define @t191 () (= @t187 1)) % 0.84/1.08 (define @t192 () (= @t191 @t74)) % 0.84/1.08 (define @t193 () (and @t55 @t74 @t178 @t181)) % 0.84/1.08 (define @t194 () (not @t92)) % 0.84/1.08 (define @t195 () (>= @t69 1)) % 0.84/1.08 (define @t196 () (* -1 0)) % 0.84/1.08 (define @t197 () (+ @t65 @t196 @t65 1)) % 0.84/1.08 (define @t198 () (+ @t111 @t69)) % 0.84/1.08 (define @t199 () (* -1 @t187)) % 0.84/1.08 (define @t200 () (+ @t185 @t113 @t199 @t54)) % 0.84/1.08 (define @t201 () (and @t55 @t74 @t92 @t168 @t179)) % 0.84/1.08 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 0.84/1.08 (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2)))) % 0.84/1.08 (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4))))) % 0.84/1.08 (assume @p4 @t9) % 0.84/1.08 (assume @p5 @t13) % 0.84/1.08 (assume @p6 (forall (@list @t14) (>= (tptp.count @t14) 0))) % 0.84/1.08 (assume @p7 @t19) % 0.84/1.08 (assume @p8 (forall (@list @t21 @t20) (= (not (tptp.in @t21 @t20)) (= (tptp.count (tptp.add @t21 @t20)) (+ (tptp.count @t20) 1))))) % 0.84/1.08 (assume @p9 (forall (@list @t23 @t22) (= (tptp.in @t23 @t22) (= (tptp.count (tptp.add @t23 @t22)) (tptp.count @t22))))) % 0.84/1.08 (assume @p10 @t33) % 0.84/1.08 (assume @p11 @t36) % 0.84/1.08 (assume @p12 @t41) % 0.84/1.08 (assume @p13 @t49) % 0.84/1.08 (assume @p14 true) % 0.84/1.08 (step @p15 :rule aci_norm :args ((= (or (or @t51 @t50) @t43) @t52))) % 0.84/1.08 (step @p16 :rule refl :args (@t43)) % 0.84/1.08 (step @p17 :rule bool-and-de-morgan :args (@t45 @t44 true)) % 0.84/1.08 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t46) @t43))) % 0.84/1.08 (step @p19 :rule trans :premises (@p18 @p15)) % 0.84/1.08 (step @p20 :rule bool-impl-elim :args (@t46 @t43)) % 0.84/1.08 (step @p21 :rule trans :premises (@p20 @p19)) % 0.84/1.08 (step @p22 :rule cong :premises (@p21) :args (@t48)) % 0.84/1.08 (step @p23 :rule cong :premises (@p22) :args (@t49)) % 0.84/1.08 (step @p24 :rule eq_resolve :premises (@p13 @p23)) % 0.84/1.08 (step @p25 :rule skolemize :premises (@p24)) % 0.84/1.08 (step @p26 :rule bool-double-not-elim :args (@t55)) % 0.84/1.08 (step @p27 :rule refl :args (@t61)) % 0.84/1.08 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t61 (not @t58)))) % 0.84/1.08 (step @p29 :rule cnf_or_neg :args (@t61 1)) % 0.84/1.08 (step @p30 :rule eq_resolve :premises (@p29 @p28)) % 0.84/1.08 (step @p31 :rule reordering :premises (@p30) :args ((or @t55 @t61))) % 0.84/1.08 (step @p32 :rule chain_m_resolution :premises (@p31 @p25) :args (@t55 @t62 @t63)) % 0.84/1.08 (step @p33 :rule arith_poly_norm :args ((= (+ @t25 -1) @t64))) % 0.84/1.08 (step @p34 :rule evaluate :args (@t65)) % 0.84/1.08 (step @p35 :rule refl :args (@t25)) % 0.84/1.08 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t66)) % 0.84/1.08 (step @p37 :rule trans :premises (@p36 @p33)) % 0.84/1.08 (step @p38 :rule arith_poly_norm :args ((= @t26 @t66))) % 0.84/1.08 (step @p39 :rule trans :premises (@p38 @p37)) % 0.84/1.08 (step @p40 :rule refl :args (@t28)) % 0.84/1.08 (step @p41 :rule cong :premises (@p40 @p39) :args (@t29)) % 0.84/1.08 (step @p42 :rule refl :args (@t30)) % 0.84/1.08 (step @p43 :rule cong :premises (@p42 @p41) :args (@t31)) % 0.84/1.08 (step @p44 :rule cong :premises (@p43) :args (@t33)) % 0.84/1.08 (step @p45 :rule eq_resolve :premises (@p10 @p44)) % 0.84/1.08 (step @p46 :rule arith_poly_norm :args ((= (* -1 (- @t69 @t73)) (* 1 @t72)))) % 0.84/1.08 (step @p47 :rule arith_poly_norm_rel :premises (@p46) :args ((= @t75 @t74))) % 0.84/1.08 (step @p48 :rule refl :args (@t76)) % 0.84/1.08 (step @p49 :rule cong :premises (@p48 @p47) :args (@t77)) % 0.84/1.08 (step @p50 :rule refl :args (@t78)) % 0.84/1.08 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t78 @t77))) % 0.84/1.08 (assume-push @p570 @t78) % 0.84/1.08 (step @p53 :rule instantiate :premises (@p45) :args (@t79)) % 0.84/1.08 (step-pop @p571 :rule scope :premises (@p53)) % 0.84/1.08 (step @p54 :rule process_scope :premises (@p571) :args (@t77)) % 0.84/1.08 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 0.84/1.08 (step @p57 :rule implies_elim :premises (@p56)) % 0.84/1.08 (step @p58 :rule chain_m_resolution :premises (@p57 @p45) :args (@t80 @t81 @t82)) % 0.84/1.08 (step @p59 :rule aci_norm :args ((= (and @t59 true) @t59))) % 0.84/1.08 (step @p60 :rule evaluate :args ((not false))) % 0.84/1.08 (step @p61 :rule evaluate :args (@t83)) % 0.84/1.08 (step @p62 :rule cong :premises (@p61) :args (@t84)) % 0.84/1.08 (step @p63 :rule trans :premises (@p62 @p60)) % 0.84/1.08 (step @p64 :rule refl :args (@t59)) % 0.84/1.08 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t85)) % 0.84/1.08 (step @p66 :rule trans :premises (@p65 @p59)) % 0.84/1.08 (step @p67 :rule cong :premises (@p66 @p48) :args (@t86)) % 0.84/1.08 (step @p68 :rule refl :args (@t13)) % 0.84/1.08 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t13 @t86))) % 0.84/1.08 (assume-push @p572 @t13) % 0.84/1.08 (step @p71 :rule instantiate :premises (@p5) :args ((@list 2 @t53 0))) % 0.84/1.08 (step-pop @p573 :rule scope :premises (@p71)) % 0.84/1.08 (step @p72 :rule process_scope :premises (@p573) :args (@t86)) % 0.84/1.08 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 0.84/1.08 (step @p75 :rule implies_elim :premises (@p74)) % 0.84/1.08 (step @p76 :rule chain_m_resolution :premises (@p75 @p5) :args (@t87 @t81 @t88)) % 0.84/1.08 (step @p77 :rule bool-double-not-elim :args (@t59)) % 0.84/1.08 (step @p78 :rule nary_cong :premises (@p27 @p77) :args ((or @t61 (not @t60)))) % 0.84/1.08 (step @p79 :rule cnf_or_neg :args (@t61 0)) % 0.84/1.08 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 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@t195)) % 0.84/1.08 (step @p536 :rule and_intro :premises (@p136 @p667)) % 0.84/1.08 (step @p537 :rule modus_ponens :premises (@p536 @p535)) % 0.84/1.08 (step @p538 :rule arith_sum_ub :premises (@p537 @p534 @p530 @p32)) % 0.84/1.08 (step @p539 false :rule eq_resolve :premises (@p538 @p527)) % 0.84/1.08 (step-pop @p668 :rule scope :premises (@p539)) % 0.84/1.08 (step @p540 :rule process_scope :premises (@p668) :args (false)) % 0.84/1.08 (step @p542 :rule eq_resolve :premises (@p540 @p515)) % 0.84/1.08 (step @p543 :rule eq_resolve :premises (@p542 @p514)) % 0.84/1.08 (step @p544 :rule arith_trichotomy :premises (@p665 @p666)) % 0.84/1.08 (step @p545 :rule int_tight_lb :premises (@p544)) % 0.84/1.08 (step @p546 false :rule contra :premises (@p545 @p543)) % 0.84/1.08 (step-pop @p669 :rule scope :premises (@p546)) % 0.84/1.08 (step-pop @p670 :rule scope :premises (@p669)) % 0.84/1.08 (step-pop @p671 :rule scope :premises (@p670)) % 0.84/1.08 (step-pop @p672 :rule scope :premises (@p671)) % 0.84/1.08 (step-pop @p673 :rule scope :premises (@p672)) % 0.84/1.08 (step @p547 :rule process_scope :premises (@p673) :args (false)) % 0.84/1.08 (assume-push @p674 @t55) % 0.84/1.08 (assume-push @p675 @t92) % 0.84/1.08 (assume-push @p676 @t74) % 0.84/1.08 (assume-push @p677 @t168) % 0.84/1.08 (assume-push @p678 @t179) % 0.84/1.08 (step @p558 :rule and_intro :premises (@p32 @p88 @p675 @p677 @p678)) % 0.84/1.08 (step-pop @p679 :rule scope :premises (@p558)) % 0.84/1.08 (step-pop @p680 :rule scope :premises (@p679)) % 0.84/1.08 (step-pop @p681 :rule scope :premises (@p680)) % 0.84/1.08 (step-pop @p682 :rule scope :premises (@p681)) % 0.84/1.08 (step-pop @p683 :rule scope :premises (@p682)) % 0.84/1.08 (step @p559 :rule process_scope :premises (@p683) :args (@t201)) % 0.84/1.08 (step @p565 :rule implies_elim :premises (@p559)) % 0.84/1.08 (step @p566 :rule resolution :premises (@p565 @p547) :args (true @t201)) % 0.84/1.08 (step @p567 :rule not_and :premises (@p566)) % 0.84/1.08 (step @p568 :rule eq_resolve :premises (@p567 @p508)) % 0.84/1.08 (step @p569 false :rule chain_m_resolution :premises (@p568 @p504 @p392 @p287 @p88 @p32) :args (false (@list false true false false false) (@list @t179 @t143 @t92 @t74 @t55))) % 0.84/1.08 ) % 0.84/1.08 % SZS output end Proof % 0.84/1.08 % cvc5 exiting %------------------------------------------------------------------------------