%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS080+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:28:53 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : KRS080+1 : TPTP v9.2.1. Released v3.1.0. % 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 : n009.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 05:27:14 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Unsatisfiable % 0.37/0.58 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort $$unsorted 0) % 0.37/0.61 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cp5 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cp4 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cp3 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cp2 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cp1 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cp (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.i2003_11_14_17_19_21224 $$unsorted) % 0.37/0.61 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.37/0.61 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.61 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.61 (define @t3 () (= @t2 @t1)) % 0.37/0.61 (define @t4 () (@list @t2 @t1)) % 0.37/0.61 (define @t5 () (@var "C" $$unsorted)) % 0.37/0.61 (define @t6 () (@list @t2 @t1 @t5)) % 0.37/0.61 (define @t7 () (@var "X" $$unsorted)) % 0.37/0.61 (define @t8 () (@list @t7)) % 0.37/0.61 (define @t9 () (@var "Y" $$unsorted)) % 0.37/0.61 (define @t10 () (tptp.cp @t9)) % 0.37/0.61 (define @t11 () (tptp.cp2 @t9)) % 0.37/0.61 (define @t12 () (tptp.rr @t7 @t9)) % 0.37/0.61 (define @t13 () (and @t12 @t11 @t10)) % 0.37/0.61 (define @t14 () (@list @t9)) % 0.37/0.61 (define @t15 () (exists @t14 @t13)) % 0.37/0.61 (define @t16 () (tptp.cp3 @t9)) % 0.37/0.61 (define @t17 () (and @t12 @t10 @t16)) % 0.37/0.61 (define @t18 () (exists @t14 @t17)) % 0.37/0.61 (define @t19 () (and @t12 @t16)) % 0.37/0.61 (define @t20 () (exists @t14 @t19)) % 0.37/0.61 (define @t21 () (and @t12 @t11)) % 0.37/0.61 (define @t22 () (exists @t14 @t21)) % 0.37/0.61 (define @t23 () (@var "Y3" $$unsorted)) % 0.37/0.61 (define @t24 () (@var "Y2" $$unsorted)) % 0.37/0.61 (define @t25 () (= @t24 @t23)) % 0.37/0.61 (define @t26 () (@var "Y1" $$unsorted)) % 0.37/0.61 (define @t27 () (= @t26 @t23)) % 0.37/0.61 (define @t28 () (= @t26 @t24)) % 0.37/0.61 (define @t29 () (@var "Y0" $$unsorted)) % 0.37/0.61 (define @t30 () (= @t29 @t23)) % 0.37/0.61 (define @t31 () (= @t29 @t24)) % 0.37/0.61 (define @t32 () (= @t29 @t26)) % 0.37/0.61 (define @t33 () (or @t32 @t31 @t30 @t28 @t27 @t25)) % 0.37/0.61 (define @t34 () (tptp.rr @t7 @t23)) % 0.37/0.61 (define @t35 () (tptp.rr @t7 @t24)) % 0.37/0.61 (define @t36 () (tptp.rr @t7 @t26)) % 0.37/0.61 (define @t37 () (tptp.rr @t7 @t29)) % 0.37/0.61 (define @t38 () (and @t37 @t36 @t35 @t34)) % 0.37/0.61 (define @t39 () (@list @t29 @t26 @t24 @t23)) % 0.37/0.61 (define @t40 () (forall @t39 (=> @t38 @t33))) % 0.37/0.61 (define @t41 () (tptp.cp4 @t9)) % 0.37/0.61 (define @t42 () (and @t12 @t41)) % 0.37/0.61 (define @t43 () (exists @t14 @t42)) % 0.37/0.61 (define @t44 () (tptp.cp1 @t9)) % 0.37/0.61 (define @t45 () (and @t12 @t44)) % 0.37/0.61 (define @t46 () (exists @t14 @t45)) % 0.37/0.61 (define @t47 () (and @t12 @t10 @t44)) % 0.37/0.61 (define @t48 () (exists @t14 @t47)) % 0.37/0.61 (define @t49 () (and @t48 @t46 @t43 @t40 @t22 @t20 @t18 @t15)) % 0.37/0.61 (define @t50 () (tptp.cUnsatisfiable @t7)) % 0.37/0.61 (define @t51 () (= @t50 @t49)) % 0.37/0.61 (define @t52 () (forall @t8 @t51)) % 0.37/0.61 (define @t53 () (tptp.cp3 @t7)) % 0.37/0.61 (define @t54 () (tptp.cp5 @t7)) % 0.37/0.61 (define @t55 () (tptp.cp4 @t7)) % 0.37/0.61 (define @t56 () (tptp.cp2 @t7)) % 0.37/0.61 (define @t57 () (not (or @t56 @t55 @t54 @t53))) % 0.37/0.61 (define @t58 () (tptp.cp1 @t7)) % 0.37/0.61 (define @t59 () (forall @t8 (=> @t58 @t57))) % 0.37/0.61 (define @t60 () (not (or @t55 @t54 @t53))) % 0.37/0.61 (define @t61 () (forall @t8 (=> @t56 @t60))) % 0.37/0.61 (define @t62 () (not (or @t55 @t54))) % 0.37/0.61 (define @t63 () (forall @t8 (=> @t53 @t62))) % 0.37/0.61 (define @t64 () (not @t54)) % 0.37/0.61 (define @t65 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_19_21224)) % 0.37/0.61 (define @t66 () (not @t10)) % 0.37/0.61 (define @t67 () (not @t11)) % 0.37/0.61 (define @t68 () (not @t12)) % 0.37/0.61 (define @t69 () (forall @t14 (not @t13))) % 0.37/0.61 (define @t70 () (not @t69)) % 0.37/0.61 (define @t71 () (not @t16)) % 0.37/0.61 (define @t72 () (forall @t14 (not @t17))) % 0.37/0.61 (define @t73 () (not @t72)) % 0.37/0.61 (define @t74 () (forall @t14 (not @t19))) % 0.37/0.61 (define @t75 () (not @t74)) % 0.37/0.61 (define @t76 () (forall @t14 (not @t21))) % 0.37/0.61 (define @t77 () (not @t76)) % 0.37/0.61 (define @t78 () (not @t34)) % 0.37/0.61 (define @t79 () (not @t35)) % 0.37/0.61 (define @t80 () (not @t36)) % 0.37/0.61 (define @t81 () (not @t37)) % 0.37/0.61 (define @t82 () (or @t81 @t80 @t79 @t78)) % 0.37/0.61 (define @t83 () (forall @t14 (not @t42))) % 0.37/0.61 (define @t84 () (not @t83)) % 0.37/0.61 (define @t85 () (forall @t14 (not @t45))) % 0.37/0.61 (define @t86 () (not @t85)) % 0.37/0.61 (define @t87 () (not @t44)) % 0.37/0.61 (define @t88 () (forall @t14 (not @t47))) % 0.37/0.61 (define @t89 () (not @t88)) % 0.37/0.61 (define @t90 () (not (tptp.rr tptp.i2003_11_14_17_19_21224 @t9))) % 0.37/0.61 (define @t91 () (forall @t14 (or @t90 @t71))) % 0.37/0.61 (define @t92 () (not @t91)) % 0.37/0.61 (define @t93 () (forall @t14 (or @t90 @t67))) % 0.37/0.61 (define @t94 () (not @t93)) % 0.37/0.61 (define @t95 () (forall @t39 (or (not (tptp.rr tptp.i2003_11_14_17_19_21224 @t29)) (not (tptp.rr tptp.i2003_11_14_17_19_21224 @t26)) (not (tptp.rr tptp.i2003_11_14_17_19_21224 @t24)) (not (tptp.rr tptp.i2003_11_14_17_19_21224 @t23)) @t32 @t31 @t30 @t28 @t27 @t25))) % 0.37/0.61 (define @t96 () (forall @t14 (or @t90 (not @t41)))) % 0.37/0.61 (define @t97 () (not @t96)) % 0.37/0.61 (define @t98 () (forall @t14 (or @t90 @t66 @t87))) % 0.37/0.61 (define @t99 () (not @t98)) % 0.37/0.61 (define @t100 () (and @t99 (not (forall @t14 (or @t90 @t87))) @t97 @t95 @t94 @t92 (not (forall @t14 (or @t90 @t66 @t71))) (not (forall @t14 (or @t90 @t67 @t66))))) % 0.37/0.61 (define @t101 () (= @t65 @t100)) % 0.37/0.61 (define @t102 () (@list false false)) % 0.37/0.61 (define @t103 () (not @t100)) % 0.37/0.61 (define @t104 () (@list false)) % 0.37/0.61 (define @t105 () (@list @t100)) % 0.37/0.61 (define @t106 () (@quantifiers_skolemize @t98 0)) % 0.37/0.61 (define @t107 () (tptp.cp1 @t106)) % 0.37/0.61 (define @t108 () (not @t107)) % 0.37/0.61 (define @t109 () (tptp.rr tptp.i2003_11_14_17_19_21224 @t106)) % 0.37/0.61 (define @t110 () (not @t109)) % 0.37/0.61 (define @t111 () (or @t110 (not (tptp.cp @t106)) @t108)) % 0.37/0.61 (define @t112 () (@list true)) % 0.37/0.61 (define @t113 () (@list @t111)) % 0.37/0.61 (define @t114 () (not @t53)) % 0.37/0.61 (define @t115 () (not @t55)) % 0.37/0.61 (define @t116 () (not @t56)) % 0.37/0.61 (define @t117 () (and @t115 (and @t64 @t114))) % 0.37/0.61 (define @t118 () (not @t58)) % 0.37/0.61 (define @t119 () (@quantifiers_skolemize @t91 0)) % 0.37/0.61 (define @t120 () (@list @t119)) % 0.37/0.61 (define @t121 () (tptp.cp3 @t119)) % 0.37/0.61 (define @t122 () (not @t121)) % 0.37/0.61 (define @t123 () (tptp.rr tptp.i2003_11_14_17_19_21224 @t119)) % 0.37/0.61 (define @t124 () (not @t123)) % 0.37/0.61 (define @t125 () (or @t124 @t122)) % 0.37/0.61 (define @t126 () (@list @t125)) % 0.37/0.61 (define @t127 () (not (tptp.cp5 @t119))) % 0.37/0.61 (define @t128 () (tptp.cp4 @t119)) % 0.37/0.61 (define @t129 () (not @t128)) % 0.37/0.61 (define @t130 () (tptp.cp2 @t119)) % 0.37/0.61 (define @t131 () (not @t130)) % 0.37/0.61 (define @t132 () (and @t131 @t129 @t127 @t122)) % 0.37/0.61 (define @t133 () (not @t132)) % 0.37/0.61 (define @t134 () (@list @t121)) % 0.37/0.61 (define @t135 () (tptp.cp1 @t119)) % 0.37/0.61 (define @t136 () (not @t135)) % 0.37/0.61 (define @t137 () (or @t136 @t132)) % 0.37/0.61 (define @t138 () (@list true false)) % 0.37/0.61 (define @t139 () (@quantifiers_skolemize @t93 0)) % 0.37/0.61 (define @t140 () (@quantifiers_skolemize @t96 0)) % 0.37/0.61 (define @t141 () (and @t129 @t127 @t122)) % 0.37/0.61 (define @t142 () (not @t141)) % 0.37/0.61 (define @t143 () (or @t131 @t141)) % 0.37/0.61 (define @t144 () (tptp.cp2 @t139)) % 0.37/0.61 (define @t145 () (not @t144)) % 0.37/0.61 (define @t146 () (tptp.rr tptp.i2003_11_14_17_19_21224 @t139)) % 0.37/0.61 (define @t147 () (not @t146)) % 0.37/0.61 (define @t148 () (or @t147 @t145)) % 0.37/0.61 (define @t149 () (@list @t148)) % 0.37/0.61 (define @t150 () (= @t139 @t119)) % 0.37/0.61 (define @t151 () (not @t150)) % 0.37/0.61 (define @t152 () (= false true)) % 0.37/0.61 (define @t153 () (and @t144 @t150 @t131)) % 0.37/0.61 (define @t154 () (@list false true)) % 0.37/0.61 (define @t155 () (and @t129 @t127)) % 0.37/0.61 (define @t156 () (or @t122 @t155)) % 0.37/0.61 (define @t157 () (tptp.cp4 @t140)) % 0.37/0.61 (define @t158 () (not @t157)) % 0.37/0.61 (define @t159 () (tptp.rr tptp.i2003_11_14_17_19_21224 @t140)) % 0.37/0.61 (define @t160 () (not @t159)) % 0.37/0.61 (define @t161 () (or @t160 @t158)) % 0.37/0.61 (define @t162 () (@list @t161)) % 0.37/0.61 (define @t163 () (= @t140 @t119)) % 0.37/0.61 (define @t164 () (not @t163)) % 0.37/0.61 (define @t165 () (and @t157 @t163 @t129)) % 0.37/0.61 (define @t166 () (@list @t139)) % 0.37/0.61 (define @t167 () (not (tptp.cp3 @t139))) % 0.37/0.61 (define @t168 () (not (tptp.cp5 @t139))) % 0.37/0.61 (define @t169 () (tptp.cp4 @t139)) % 0.37/0.61 (define @t170 () (not @t169)) % 0.37/0.61 (define @t171 () (and @t170 @t168 @t167)) % 0.37/0.61 (define @t172 () (or @t145 @t171)) % 0.37/0.61 (define @t173 () (= @t140 @t139)) % 0.37/0.61 (define @t174 () (not @t173)) % 0.37/0.61 (define @t175 () (and @t157 @t173 @t170)) % 0.37/0.61 (define @t176 () (and @t145 @t170 @t168 @t167)) % 0.37/0.61 (define @t177 () (not @t176)) % 0.37/0.61 (define @t178 () (tptp.cp1 @t139)) % 0.37/0.61 (define @t179 () (not @t178)) % 0.37/0.61 (define @t180 () (or @t179 @t176)) % 0.37/0.61 (define @t181 () (= @t106 @t139)) % 0.37/0.61 (define @t182 () (not @t181)) % 0.37/0.61 (define @t183 () (and @t107 @t181 @t179)) % 0.37/0.61 (define @t184 () (and (not (tptp.cp2 @t140)) @t158 (not (tptp.cp5 @t140)) (not (tptp.cp3 @t140)))) % 0.37/0.61 (define @t185 () (not @t184)) % 0.37/0.61 (define @t186 () (tptp.cp1 @t140)) % 0.37/0.61 (define @t187 () (not @t186)) % 0.37/0.61 (define @t188 () (or @t187 @t184)) % 0.37/0.61 (define @t189 () (= @t106 @t140)) % 0.37/0.61 (define @t190 () (not @t189)) % 0.37/0.61 (define @t191 () (and @t107 @t189 @t187)) % 0.37/0.61 (define @t192 () (= @t106 @t119)) % 0.37/0.61 (define @t193 () (or @t110 @t160 @t147 @t124 @t189 @t181 @t192 @t173 @t163 @t150)) % 0.37/0.61 (define @t194 () (not @t192)) % 0.37/0.61 (define @t195 () (and @t107 @t192 @t136)) % 0.37/0.61 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.37/0.61 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.37/0.61 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.37/0.61 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cp @t2)) (tptp.cp @t1)))) % 0.37/0.61 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cp1 @t2)) (tptp.cp1 @t1)))) % 0.37/0.61 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cp2 @t2)) (tptp.cp2 @t1)))) % 0.37/0.61 (assume @p7 (forall @t4 (=> (and @t3 (tptp.cp3 @t2)) (tptp.cp3 @t1)))) % 0.37/0.61 (assume @p8 (forall @t4 (=> (and @t3 (tptp.cp4 @t2)) (tptp.cp4 @t1)))) % 0.37/0.61 (assume @p9 (forall @t4 (=> (and @t3 (tptp.cp5 @t2)) (tptp.cp5 @t1)))) % 0.37/0.61 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.37/0.61 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.37/0.61 (assume @p12 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.37/0.61 (assume @p13 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.37/0.61 (assume @p14 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.37/0.61 (assume @p15 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.37/0.61 (assume @p16 @t52) % 0.37/0.61 (assume @p17 @t59) % 0.37/0.61 (assume @p18 @t61) % 0.37/0.61 (assume @p19 @t63) % 0.37/0.61 (assume @p20 (forall @t8 (=> @t55 @t64))) % 0.37/0.61 (assume @p21 @t65) % 0.37/0.61 (step @p22 :rule aci_norm :args ((= (or @t68 (or @t67 @t66)) (or @t68 @t67 @t66)))) % 0.37/0.61 (step @p23 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.37/0.61 (step @p24 :rule refl :args (@t68)) % 0.37/0.61 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t68 (not (and @t11 @t10))))) % 0.37/0.61 (step @p26 :rule bool-and-de-morgan :args (@t12 @t11 (and @t10))) % 0.37/0.61 (step @p27 :rule trans :premises (@p26 @p25)) % 0.37/0.61 (step @p28 :rule trans :premises (@p27 @p22)) % 0.37/0.61 (step @p29 :rule cong :premises (@p28) :args (@t69)) % 0.37/0.61 (step @p30 :rule cong :premises (@p29) :args (@t70)) % 0.37/0.61 (step @p31 :rule exists-elim :args ((= @t15 @t70))) % 0.37/0.61 (step @p32 :rule trans :premises (@p31 @p30)) % 0.37/0.61 (step @p33 :rule aci_norm :args ((= (or @t68 (or @t66 @t71)) (or @t68 @t66 @t71)))) % 0.37/0.61 (step @p34 :rule bool-and-de-morgan :args (@t10 @t16 true)) % 0.37/0.61 (step @p35 :rule nary_cong :premises (@p24 @p34) :args ((or @t68 (not (and @t10 @t16))))) % 0.37/0.61 (step @p36 :rule bool-and-de-morgan :args (@t12 @t10 (and @t16))) % 0.37/0.61 (step @p37 :rule trans :premises (@p36 @p35)) % 0.37/0.61 (step @p38 :rule trans :premises (@p37 @p33)) % 0.37/0.61 (step @p39 :rule cong :premises (@p38) :args (@t72)) % 0.37/0.61 (step @p40 :rule cong :premises (@p39) :args (@t73)) % 0.37/0.61 (step @p41 :rule exists-elim :args ((= @t18 @t73))) % 0.37/0.61 (step @p42 :rule trans :premises (@p41 @p40)) % 0.37/0.61 (step @p43 :rule bool-and-de-morgan :args (@t12 @t16 true)) % 0.37/0.61 (step @p44 :rule cong :premises (@p43) :args (@t74)) % 0.37/0.61 (step @p45 :rule cong :premises (@p44) :args (@t75)) % 0.37/0.61 (step @p46 :rule exists-elim :args ((= @t20 @t75))) % 0.37/0.61 (step @p47 :rule trans :premises (@p46 @p45)) % 0.37/0.61 (step @p48 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.37/0.61 (step @p49 :rule cong :premises (@p48) :args (@t76)) % 0.37/0.61 (step @p50 :rule cong :premises (@p49) :args (@t77)) % 0.37/0.61 (step @p51 :rule exists-elim :args ((= @t22 @t77))) % 0.37/0.61 (step @p52 :rule trans :premises (@p51 @p50)) % 0.37/0.61 (step @p53 :rule aci_norm :args ((= (or @t82 @t33) (or @t81 @t80 @t79 @t78 @t32 @t31 @t30 @t28 @t27 @t25)))) % 0.37/0.61 (step @p54 :rule refl :args (@t33)) % 0.37/0.61 (step @p55 :rule aci_norm :args ((= (or @t81 (or @t80 (or @t79 @t78))) @t82))) % 0.37/0.61 (step @p56 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.37/0.61 (step @p57 :rule refl :args (@t80)) % 0.37/0.61 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t80 (not (and @t35 @t34))))) % 0.37/0.61 (step @p59 :rule bool-and-de-morgan :args (@t36 @t35 (and @t34))) % 0.37/0.61 (step @p60 :rule trans :premises (@p59 @p58)) % 0.37/0.61 (step @p61 :rule refl :args (@t81)) % 0.37/0.61 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t81 (not (and @t36 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(step @p317 :rule symm :premises (@p316)) % 0.37/0.61 (step @p318 :rule trans :premises (@p317 @p315 @p313)) % 0.37/0.61 (step @p319 false :rule eq_resolve :premises (@p318 @p182)) % 0.37/0.61 (step-pop @p468 :rule scope :premises (@p319)) % 0.37/0.61 (step-pop @p469 :rule scope :premises (@p468)) % 0.37/0.61 (step-pop @p470 :rule scope :premises (@p469)) % 0.37/0.61 (step @p320 :rule process_scope :premises (@p470) :args (false)) % 0.37/0.61 (assume-push @p471 @t107) % 0.37/0.61 (assume-push @p472 @t179) % 0.37/0.61 (assume-push @p473 @t181) % 0.37/0.61 (step @p327 :rule and_intro :premises (@p110 @p473 @p305)) % 0.37/0.61 (step-pop @p474 :rule scope :premises (@p327)) % 0.37/0.61 (step-pop @p475 :rule scope :premises (@p474)) % 0.37/0.61 (step-pop @p476 :rule scope :premises (@p475)) % 0.37/0.61 (step @p328 :rule process_scope :premises (@p476) :args (@t183)) % 0.37/0.61 (step @p332 :rule implies_elim :premises (@p328)) % 0.37/0.61 (step @p333 :rule resolution :premises (@p332 @p320) 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(step @p346 :rule nary_cong :premises (@p308 @p345 @p344) :args ((or @t108 (not @t187) @t190))) % 0.37/0.61 (assume-push @p477 @t107) % 0.37/0.61 (assume-push @p478 @t189) % 0.37/0.61 (assume-push @p479 @t187) % 0.37/0.61 (step @p182 :rule evaluate :args (@t152)) % 0.37/0.61 (step @p313 :rule true_intro :premises (@p110)) % 0.37/0.61 (step @p350 :rule symm :premises (@p478)) % 0.37/0.61 (step @p351 :rule cong :premises (@p350) :args (@t186)) % 0.37/0.61 (step @p352 :rule false_intro :premises (@p343)) % 0.37/0.61 (step @p353 :rule symm :premises (@p352)) % 0.37/0.61 (step @p354 :rule trans :premises (@p353 @p351 @p313)) % 0.37/0.61 (step @p355 false :rule eq_resolve :premises (@p354 @p182)) % 0.37/0.61 (step-pop @p480 :rule scope :premises (@p355)) % 0.37/0.61 (step-pop @p481 :rule scope :premises (@p480)) % 0.37/0.61 (step-pop @p482 :rule scope :premises (@p481)) % 0.37/0.61 (step @p356 :rule process_scope :premises (@p482) :args (false)) % 0.37/0.61 (assume-push @p483 @t107) % 0.37/0.61 (assume-push @p484 @t187) % 0.37/0.61 (assume-push @p485 @t189) % 0.37/0.61 (step @p363 :rule and_intro :premises (@p110 @p485 @p343)) % 0.37/0.61 (step-pop @p486 :rule scope :premises (@p363)) % 0.37/0.61 (step-pop @p487 :rule scope :premises (@p486)) % 0.37/0.61 (step-pop @p488 :rule scope :premises (@p487)) % 0.37/0.61 (step @p364 :rule process_scope :premises (@p488) :args (@t191)) % 0.37/0.61 (step @p368 :rule implies_elim :premises (@p364)) % 0.37/0.61 (step @p369 :rule resolution :premises (@p368 @p356) :args (true @t191)) % 0.37/0.61 (step @p370 :rule not_and :premises (@p369)) % 0.37/0.61 (step @p371 :rule eq_resolve :premises (@p370 @p346)) % 0.37/0.61 (step @p372 :rule chain_m_resolution :premises (@p371 @p110 @p343) :args (@t190 @t154 (@list @t107 @t186))) % 0.37/0.61 (step @p373 :rule bool-double-not-elim :args (@t123)) % 0.37/0.61 (step @p374 :rule nary_cong :premises (@p134 @p373) :args ((or @t125 (not @t124)))) % 0.37/0.61 (step @p375 :rule cnf_or_neg :args (@t125 0)) % 0.37/0.61 (step @p376 :rule eq_resolve :premises (@p375 @p374)) % 0.37/0.61 (step @p377 :rule reordering :premises (@p376) :args ((or @t123 @t125))) % 0.37/0.61 (step @p378 :rule chain_m_resolution :premises (@p377 @p132) :args (@t123 @t112 @t126)) % 0.37/0.61 (step @p379 :rule bool-double-not-elim :args (@t146)) % 0.37/0.61 (step @p380 :rule nary_cong :premises (@p169 @p379) :args ((or @t148 (not @t147)))) % 0.37/0.61 (step @p381 :rule cnf_or_neg :args (@t148 0)) % 0.37/0.61 (step @p382 :rule eq_resolve :premises (@p381 @p380)) % 0.37/0.61 (step @p383 :rule reordering :premises (@p382) :args ((or @t146 @t148))) % 0.37/0.61 (step @p384 :rule chain_m_resolution :premises (@p383 @p167) :args (@t146 @t112 @t149)) % 0.37/0.61 (step @p385 :rule bool-double-not-elim :args (@t159)) % 0.37/0.61 (step @p386 :rule nary_cong :premises (@p226 @p385) :args ((or @t161 (not @t160)))) % 0.37/0.61 (step @p387 :rule cnf_or_neg :args (@t161 0)) % 0.37/0.61 (step @p388 :rule eq_resolve :premises (@p387 @p386)) % 0.37/0.61 (step @p389 :rule reordering :premises (@p388) :args ((or @t159 @t161))) % 0.37/0.61 (step @p390 :rule chain_m_resolution :premises (@p389 @p224) :args (@t159 @t112 @t162)) % 0.37/0.61 (step @p391 :rule bool-double-not-elim :args (@t109)) % 0.37/0.61 (step @p392 :rule nary_cong :premises (@p105 @p391) :args ((or @t111 (not @t110)))) % 0.37/0.61 (step @p393 :rule cnf_or_neg :args (@t111 0)) % 0.37/0.61 (step @p394 :rule eq_resolve :premises (@p393 @p392)) % 0.37/0.61 (step @p395 :rule reordering :premises (@p394) :args ((or @t109 @t111))) % 0.37/0.61 (step @p396 :rule chain_m_resolution :premises (@p395 @p103) :args (@t109 @t112 @t113)) % 0.37/0.61 (step @p397 :rule cnf_or_pos :args (@t193)) % 0.37/0.61 (step @p398 :rule reordering :premises (@p397) :args ((or @t110 @t160 @t147 @t124 @t189 @t181 @t173 @t192 @t163 @t150 (not @t193)))) % 0.37/0.61 (step @p399 :rule chain_m_resolution :premises (@p398 @p396 @p390 @p384 @p378 @p372 @p336 @p298 @p262 @p206 @p149) :args (@t192 (@list false false false false true true true true true false) (@list @t109 @t159 @t146 @t123 @t189 @t181 @t173 @t163 @t150 @t193))) % 0.37/0.61 (step @p400 :rule refl :args (@t194)) % 0.37/0.61 (step @p401 :rule bool-double-not-elim :args (@t135)) % 0.37/0.61 (step @p402 :rule nary_cong :premises (@p308 @p401 @p400) :args ((or @t108 (not @t136) @t194))) % 0.37/0.61 (assume-push @p489 @t107) % 0.37/0.61 (assume-push @p490 @t192) % 0.37/0.61 (assume-push @p491 @t136) % 0.37/0.61 (step @p182 :rule evaluate :args (@t152)) % 0.37/0.61 (step @p313 :rule true_intro :premises (@p110)) % 0.37/0.61 (step @p406 :rule symm :premises (@p490)) % 0.37/0.61 (step @p407 :rule cong :premises (@p406) :args (@t135)) % 0.37/0.61 (step @p408 :rule false_intro :premises (@p145)) % 0.37/0.61 (step @p409 :rule symm :premises (@p408)) % 0.37/0.61 (step @p410 :rule trans :premises (@p409 @p407 @p313)) % 0.37/0.61 (step @p411 false :rule eq_resolve :premises (@p410 @p182)) % 0.37/0.61 (step-pop @p492 :rule scope :premises (@p411)) % 0.37/0.61 (step-pop @p493 :rule scope :premises (@p492)) % 0.37/0.61 (step-pop @p494 :rule scope :premises (@p493)) % 0.37/0.61 (step @p412 :rule process_scope :premises (@p494) :args (false)) % 0.37/0.61 (assume-push @p495 @t107) % 0.37/0.61 (assume-push @p496 @t136) % 0.37/0.61 (assume-push @p497 @t192) % 0.37/0.61 (step @p419 :rule and_intro :premises (@p110 @p497 @p145)) % 0.37/0.61 (step-pop @p498 :rule scope :premises (@p419)) % 0.37/0.61 (step-pop @p499 :rule scope :premises (@p498)) % 0.37/0.61 (step-pop @p500 :rule scope :premises (@p499)) % 0.37/0.61 (step @p420 :rule process_scope :premises (@p500) :args (@t195)) % 0.37/0.61 (step @p424 :rule implies_elim :premises (@p420)) % 0.37/0.61 (step @p425 :rule resolution :premises (@p424 @p412) :args (true @t195)) % 0.37/0.61 (step @p426 :rule not_and :premises (@p425)) % 0.37/0.61 (step @p427 :rule eq_resolve :premises (@p426 @p402)) % 0.37/0.61 (step @p428 false :rule chain_m_resolution :premises (@p427 @p399 @p145 @p110) :args (false (@list false true false) (@list @t192 @t135 @t107))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------