%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HWV008-1.002 : TPTP v9.2.1. Bugfixed v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:23:03 AM UTC 2026 % Result : Unsatisfiable 0.84s 1.06s % Output : Proof 0.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HWV008-1.002 : TPTP v9.2.1. Bugfixed v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.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 : Tue Jun 2 02:17:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.84/1.06 % SZS status Unsatisfiable % 0.84/1.06 % SZS output start Proof % 0.84/1.06 ( % 0.84/1.06 (declare-sort $$unsorted 0) % 0.84/1.06 (declare-const tptp.abnormal $$unsorted) % 0.84/1.06 (declare-const tptp.b2 $$unsorted) % 0.84/1.06 (declare-const tptp.value (-> $$unsorted $$unsorted Bool)) % 0.84/1.06 (declare-const tptp.and $$unsorted) % 0.84/1.06 (declare-const tptp.a2 $$unsorted) % 0.84/1.06 (declare-const tptp.ok $$unsorted) % 0.84/1.06 (declare-const tptp.mode (-> $$unsorted $$unsorted Bool)) % 0.84/1.06 (declare-const tptp.and1 (-> $$unsorted $$unsorted)) % 0.84/1.06 (declare-const tptp.in (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.06 (declare-const tptp.nbit_adder (-> $$unsorted $$unsorted)) % 0.84/1.06 (declare-const tptp.halfadder $$unsorted) % 0.84/1.06 (declare-const tptp.a1 $$unsorted) % 0.84/1.06 (declare-const tptp.n1 $$unsorted) % 0.84/1.06 (declare-const tptp.a $$unsorted) % 0.84/1.06 (declare-const tptp.out (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.06 (declare-const tptp.f (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.06 (declare-const tptp.or $$unsorted) % 0.84/1.06 (declare-const tptp.not $$unsorted) % 0.84/1.06 (declare-const tptp.not1 (-> $$unsorted $$unsorted)) % 0.84/1.06 (declare-const tptp.equal_value (-> $$unsorted $$unsorted Bool)) % 0.84/1.06 (declare-const tptp.or1 (-> $$unsorted $$unsorted)) % 0.84/1.06 (declare-const tptp.type (-> $$unsorted $$unsorted Bool)) % 0.84/1.06 (declare-const tptp.c $$unsorted) % 0.84/1.06 (declare-const tptp.connection (-> $$unsorted $$unsorted Bool)) % 0.84/1.06 (declare-const tptp.s $$unsorted) % 0.84/1.06 (declare-const tptp.h1 (-> $$unsorted $$unsorted)) % 0.84/1.06 (declare-const tptp.n2 $$unsorted) % 0.84/1.06 (declare-const tptp.and2 (-> $$unsorted $$unsorted)) % 0.84/1.06 (declare-const tptp.fulladder $$unsorted) % 0.84/1.06 (declare-const tptp.h2 (-> $$unsorted $$unsorted)) % 0.84/1.06 (declare-const tptp.n0 $$unsorted) % 0.84/1.06 (declare-const tptp.b1 $$unsorted) % 0.84/1.06 (define @t1 () (@var "V" $$unsorted)) % 0.84/1.06 (define @t2 () (@var "P2" $$unsorted)) % 0.84/1.06 (define @t3 () (tptp.value @t2 @t1)) % 0.84/1.06 (define @t4 () (@var "P1" $$unsorted)) % 0.84/1.06 (define @t5 () (tptp.value @t4 @t1)) % 0.84/1.06 (define @t6 () (not (tptp.connection @t4 @t2))) % 0.84/1.06 (define @t7 () (@list @t4 @t2 @t1)) % 0.84/1.06 (define @t8 () (@var "V2" $$unsorted)) % 0.84/1.06 (define @t9 () (@var "V1" $$unsorted)) % 0.84/1.06 (define @t10 () (@var "P" $$unsorted)) % 0.84/1.06 (define @t11 () (forall (@list @t10 @t9 @t8) (or (not (tptp.value @t10 @t9)) (not (tptp.value @t10 @t8)) (tptp.equal_value @t9 @t8)))) % 0.84/1.06 (define @t12 () (tptp.equal_value tptp.n0 tptp.n1)) % 0.84/1.06 (define @t13 () (@var "K" $$unsorted)) % 0.84/1.06 (define @t14 () (tptp.mode @t13 tptp.abnormal)) % 0.84/1.06 (define @t15 () (tptp.mode @t13 tptp.ok)) % 0.84/1.06 (define @t16 () (not @t15)) % 0.84/1.06 (define @t17 () (@list @t13)) % 0.84/1.06 (define @t18 () (@var "Any" $$unsorted)) % 0.84/1.06 (define @t19 () (@list @t13 @t18)) % 0.84/1.06 (define @t20 () (tptp.out tptp.n1 @t13)) % 0.84/1.06 (define @t21 () (tptp.value @t20 tptp.n0)) % 0.84/1.06 (define @t22 () (tptp.in @t18 @t13)) % 0.84/1.06 (define @t23 () (not (tptp.type @t13 tptp.and))) % 0.84/1.06 (define @t24 () (tptp.value @t20 tptp.n1)) % 0.84/1.06 (define @t25 () (tptp.in tptp.n2 @t13)) % 0.84/1.06 (define @t26 () (tptp.value @t25 tptp.n1)) % 0.84/1.06 (define @t27 () (tptp.in tptp.n1 @t13)) % 0.84/1.06 (define @t28 () (tptp.value @t27 tptp.n1)) % 0.84/1.06 (define @t29 () (not @t28)) % 0.84/1.06 (define @t30 () (tptp.value @t25 tptp.n0)) % 0.84/1.06 (define @t31 () (tptp.value @t27 tptp.n0)) % 0.84/1.06 (define @t32 () (not @t21)) % 0.84/1.06 (define @t33 () (not @t24)) % 0.84/1.06 (define @t34 () (not (tptp.type @t13 tptp.or))) % 0.84/1.06 (define @t35 () (not @t31)) % 0.84/1.06 (define @t36 () (not (tptp.type @t13 tptp.not))) % 0.84/1.06 (define @t37 () (@var "X" $$unsorted)) % 0.84/1.06 (define @t38 () (tptp.and1 @t37)) % 0.84/1.06 (define @t39 () (not (tptp.type @t37 tptp.halfadder))) % 0.84/1.06 (define @t40 () (@list @t37)) % 0.84/1.06 (define @t41 () (tptp.and2 @t37)) % 0.84/1.06 (define @t42 () (tptp.not1 @t37)) % 0.84/1.06 (define @t43 () (tptp.or1 @t37)) % 0.84/1.06 (define @t44 () (tptp.type @t43 tptp.or)) % 0.84/1.06 (define @t45 () (tptp.in tptp.n1 @t43)) % 0.84/1.06 (define @t46 () (tptp.in tptp.n1 @t37)) % 0.84/1.06 (define @t47 () (tptp.in tptp.n2 @t43)) % 0.84/1.06 (define @t48 () (tptp.in tptp.n2 @t37)) % 0.84/1.06 (define @t49 () (tptp.out tptp.s @t37)) % 0.84/1.06 (define @t50 () (tptp.out tptp.n1 @t41)) % 0.84/1.06 (define @t51 () (tptp.out tptp.c @t37)) % 0.84/1.06 (define @t52 () (tptp.out tptp.n1 @t43)) % 0.84/1.06 (define @t53 () (tptp.h1 @t37)) % 0.84/1.06 (define @t54 () (not (tptp.type @t37 tptp.fulladder))) % 0.84/1.06 (define @t55 () (tptp.h2 @t37)) % 0.84/1.06 (define @t56 () (tptp.in tptp.c @t37)) % 0.84/1.06 (define @t57 () (tptp.f tptp.n1 @t37)) % 0.84/1.06 (define @t58 () (tptp.nbit_adder tptp.n2)) % 0.84/1.06 (define @t59 () (not (tptp.type @t37 @t58))) % 0.84/1.06 (define @t60 () (tptp.f tptp.n2 @t37)) % 0.84/1.06 (define @t61 () (tptp.type tptp.a @t58)) % 0.84/1.06 (define @t62 () (tptp.in tptp.a2 tptp.a)) % 0.84/1.06 (define @t63 () (tptp.value @t62 tptp.n0)) % 0.84/1.06 (define @t64 () (tptp.in tptp.b2 tptp.a)) % 0.84/1.06 (define @t65 () (tptp.value @t64 tptp.n0)) % 0.84/1.06 (define @t66 () (tptp.out tptp.c tptp.a)) % 0.84/1.06 (define @t67 () (tptp.value @t66 tptp.n1)) % 0.84/1.06 (define @t68 () (tptp.f tptp.n2 tptp.a)) % 0.84/1.06 (define @t69 () (tptp.or1 @t68)) % 0.84/1.06 (define @t70 () (tptp.mode @t69 tptp.abnormal)) % 0.84/1.06 (define @t71 () (tptp.h1 @t68)) % 0.84/1.06 (define @t72 () (tptp.and2 @t71)) % 0.84/1.06 (define @t73 () (tptp.mode @t72 tptp.abnormal)) % 0.84/1.06 (define @t74 () (tptp.h2 @t68)) % 0.84/1.06 (define @t75 () (tptp.and2 @t74)) % 0.84/1.06 (define @t76 () (tptp.mode @t75 tptp.abnormal)) % 0.84/1.06 (define @t77 () (tptp.out tptp.n1 @t69)) % 0.84/1.06 (define @t78 () (tptp.out tptp.c @t68)) % 0.84/1.06 (define @t79 () (@list tptp.a)) % 0.84/1.06 (define @t80 () (tptp.connection @t66 @t78)) % 0.84/1.06 (define @t81 () (not @t61)) % 0.84/1.06 (define @t82 () (or @t81 @t80)) % 0.84/1.06 (define @t83 () (@list false false)) % 0.84/1.06 (define @t84 () (tptp.value @t78 tptp.n1)) % 0.84/1.06 (define @t85 () (not @t67)) % 0.84/1.06 (define @t86 () (not @t80)) % 0.84/1.06 (define @t87 () (or @t86 @t85 @t84)) % 0.84/1.06 (define @t88 () (@list false false false)) % 0.84/1.06 (define @t89 () (@list @t68)) % 0.84/1.06 (define @t90 () (tptp.type @t68 tptp.fulladder)) % 0.84/1.06 (define @t91 () (or @t81 @t90)) % 0.84/1.06 (define @t92 () (tptp.connection @t78 @t77)) % 0.84/1.06 (define @t93 () (not @t90)) % 0.84/1.06 (define @t94 () (or @t93 @t92)) % 0.84/1.06 (define @t95 () (tptp.value @t77 tptp.n1)) % 0.84/1.06 (define @t96 () (not @t84)) % 0.84/1.06 (define @t97 () (not @t92)) % 0.84/1.06 (define @t98 () (or @t97 @t96 @t95)) % 0.84/1.06 (define @t99 () (tptp.in tptp.n2 @t69)) % 0.84/1.06 (define @t100 () (tptp.out tptp.c @t71)) % 0.84/1.06 (define @t101 () (tptp.out tptp.n1 @t72)) % 0.84/1.06 (define @t102 () (tptp.in tptp.n1 @t72)) % 0.84/1.06 (define @t103 () (tptp.in tptp.n1 @t71)) % 0.84/1.06 (define @t104 () (tptp.in tptp.n2 @t68)) % 0.84/1.06 (define @t105 () (tptp.connection @t64 @t104)) % 0.84/1.06 (define @t106 () (or @t81 @t105)) % 0.84/1.06 (define @t107 () (tptp.value @t104 tptp.n0)) % 0.84/1.06 (define @t108 () (not @t65)) % 0.84/1.06 (define @t109 () (not @t105)) % 0.84/1.06 (define @t110 () (or @t109 @t108 @t107)) % 0.84/1.06 (define @t111 () (tptp.connection @t104 @t103)) % 0.84/1.06 (define @t112 () (or @t93 @t111)) % 0.84/1.06 (define @t113 () (tptp.value @t103 tptp.n0)) % 0.84/1.06 (define @t114 () (not @t107)) % 0.84/1.06 (define @t115 () (not @t111)) % 0.84/1.06 (define @t116 () (or @t115 @t114 @t113)) % 0.84/1.06 (define @t117 () (@list @t71)) % 0.84/1.06 (define @t118 () (tptp.type @t71 tptp.halfadder)) % 0.84/1.06 (define @t119 () (or @t93 @t118)) % 0.84/1.06 (define @t120 () (tptp.connection @t103 @t102)) % 0.84/1.06 (define @t121 () (not @t118)) % 0.84/1.06 (define @t122 () (or @t121 @t120)) % 0.84/1.06 (define @t123 () (tptp.value @t102 tptp.n0)) % 0.84/1.06 (define @t124 () (not @t113)) % 0.84/1.06 (define @t125 () (not @t120)) % 0.84/1.06 (define @t126 () (or @t125 @t124 @t123)) % 0.84/1.06 (define @t127 () (tptp.type @t72 tptp.and)) % 0.84/1.06 (define @t128 () (or @t121 @t127)) % 0.84/1.06 (define @t129 () (tptp.mode @t72 tptp.ok)) % 0.84/1.06 (define @t130 () (not @t127)) % 0.84/1.06 (define @t131 () (or @t130 @t129 @t73)) % 0.84/1.06 (define @t132 () (@list true false false)) % 0.84/1.06 (define @t133 () (tptp.value @t101 tptp.n0)) % 0.84/1.06 (define @t134 () (not @t123)) % 0.84/1.06 (define @t135 () (not @t129)) % 0.84/1.06 (define @t136 () (or @t135 @t130 @t134 @t133)) % 0.84/1.06 (define @t137 () (@list false false false false)) % 0.84/1.06 (define @t138 () (tptp.connection @t100 @t101)) % 0.84/1.06 (define @t139 () (or @t121 @t138)) % 0.84/1.06 (define @t140 () (tptp.value @t100 tptp.n0)) % 0.84/1.06 (define @t141 () (not @t133)) % 0.84/1.06 (define @t142 () (not @t138)) % 0.84/1.06 (define @t143 () (or @t142 @t141 @t140)) % 0.84/1.06 (define @t144 () (tptp.connection @t100 @t99)) % 0.84/1.06 (define @t145 () (or @t93 @t144)) % 0.84/1.06 (define @t146 () (tptp.value @t99 tptp.n0)) % 0.84/1.06 (define @t147 () (not @t140)) % 0.84/1.06 (define @t148 () (not @t144)) % 0.84/1.06 (define @t149 () (or @t148 @t147 @t146)) % 0.84/1.06 (define @t150 () (tptp.in tptp.n1 @t69)) % 0.84/1.06 (define @t151 () (tptp.out tptp.c @t74)) % 0.84/1.06 (define @t152 () (tptp.out tptp.n1 @t75)) % 0.84/1.06 (define @t153 () (tptp.in tptp.n1 @t75)) % 0.84/1.06 (define @t154 () (tptp.in tptp.n1 @t74)) % 0.84/1.06 (define @t155 () (tptp.in tptp.n1 @t68)) % 0.84/1.06 (define @t156 () (tptp.connection @t62 @t155)) % 0.84/1.06 (define @t157 () (or @t81 @t156)) % 0.84/1.06 (define @t158 () (tptp.value @t155 tptp.n0)) % 0.84/1.06 (define @t159 () (not @t63)) % 0.84/1.06 (define @t160 () (not @t156)) % 0.84/1.06 (define @t161 () (or @t160 @t159 @t158)) % 0.84/1.06 (define @t162 () (tptp.connection @t155 @t154)) % 0.84/1.06 (define @t163 () (or @t93 @t162)) % 0.84/1.06 (define @t164 () (tptp.value @t154 tptp.n0)) % 0.84/1.06 (define @t165 () (not @t158)) % 0.84/1.06 (define @t166 () (not @t162)) % 0.84/1.06 (define @t167 () (or @t166 @t165 @t164)) % 0.84/1.06 (define @t168 () (@list @t74)) % 0.84/1.06 (define @t169 () (tptp.type @t74 tptp.halfadder)) % 0.84/1.06 (define @t170 () (or @t93 @t169)) % 0.84/1.06 (define @t171 () (tptp.connection @t154 @t153)) % 0.84/1.06 (define @t172 () (not @t169)) % 0.84/1.06 (define @t173 () (or @t172 @t171)) % 0.84/1.06 (define @t174 () (tptp.value @t153 tptp.n0)) % 0.84/1.06 (define @t175 () (not @t164)) % 0.84/1.06 (define @t176 () (not @t171)) % 0.84/1.06 (define @t177 () (or @t176 @t175 @t174)) % 0.84/1.06 (define @t178 () (tptp.type @t75 tptp.and)) % 0.84/1.06 (define @t179 () (or @t172 @t178)) % 0.84/1.06 (define @t180 () (tptp.mode @t75 tptp.ok)) % 0.84/1.06 (define @t181 () (not @t178)) % 0.84/1.06 (define @t182 () (or @t181 @t180 @t76)) % 0.84/1.06 (define @t183 () (tptp.value @t152 tptp.n0)) % 0.84/1.06 (define @t184 () (not @t174)) % 0.84/1.06 (define @t185 () (not @t180)) % 0.84/1.06 (define @t186 () (or @t185 @t181 @t184 @t183)) % 0.84/1.06 (define @t187 () (tptp.connection @t151 @t152)) % 0.84/1.06 (define @t188 () (or @t172 @t187)) % 0.84/1.06 (define @t189 () (tptp.value @t151 tptp.n0)) % 0.84/1.06 (define @t190 () (not @t183)) % 0.84/1.06 (define @t191 () (not @t187)) % 0.84/1.06 (define @t192 () (or @t191 @t190 @t189)) % 0.84/1.06 (define @t193 () (tptp.connection @t151 @t150)) % 0.84/1.06 (define @t194 () (or @t93 @t193)) % 0.84/1.06 (define @t195 () (tptp.value @t150 tptp.n0)) % 0.84/1.06 (define @t196 () (not @t189)) % 0.84/1.06 (define @t197 () (not @t193)) % 0.84/1.06 (define @t198 () (or @t197 @t196 @t195)) % 0.84/1.06 (define @t199 () (tptp.type @t69 tptp.or)) % 0.84/1.06 (define @t200 () (or @t93 @t199)) % 0.84/1.06 (define @t201 () (tptp.mode @t69 tptp.ok)) % 0.84/1.06 (define @t202 () (not @t199)) % 0.84/1.06 (define @t203 () (or @t202 @t201 @t70)) % 0.84/1.06 (define @t204 () (tptp.value @t77 tptp.n0)) % 0.84/1.06 (define @t205 () (not @t146)) % 0.84/1.06 (define @t206 () (not @t195)) % 0.84/1.06 (define @t207 () (not @t201)) % 0.84/1.06 (define @t208 () (or @t207 @t202 @t206 @t205 @t204)) % 0.84/1.06 (define @t209 () (not @t95)) % 0.84/1.06 (define @t210 () (not @t204)) % 0.84/1.06 (define @t211 () (or @t210 @t209 @t12)) % 0.84/1.06 (define @t212 () (not @t211)) % 0.84/1.06 (assume @p1 (forall @t7 (or @t6 (not @t5) @t3))) % 0.84/1.06 (assume @p2 (forall @t7 (or @t6 (not @t3) @t5))) % 0.84/1.06 (assume @p3 @t11) % 0.84/1.06 (assume @p4 (not @t12)) % 0.84/1.06 (assume @p5 (not (tptp.equal_value tptp.n1 tptp.n0))) % 0.84/1.06 (assume @p6 (forall @t17 (or @t16 (not @t14)))) % 0.84/1.06 (assume @p7 (forall @t19 (or (not (tptp.type @t13 @t18)) @t15 @t14))) % 0.84/1.06 (assume @p8 (forall @t19 (or @t16 @t23 (not (tptp.value @t22 tptp.n0)) @t21))) % 0.84/1.06 (assume @p9 (forall @t17 (or @t16 @t23 @t29 (not @t26) @t24))) % 0.84/1.06 (assume @p10 (forall @t17 (or @t16 @t23 @t32 @t31 @t30))) % 0.84/1.06 (assume @p11 (forall @t17 (or @t16 @t23 @t33 @t28))) % 0.84/1.06 (assume @p12 (forall @t17 (or @t16 @t23 @t33 @t26))) % 0.84/1.06 (assume @p13 (forall @t19 (or @t16 @t34 (not (tptp.value @t22 tptp.n1)) @t24))) % 0.84/1.06 (assume @p14 (forall @t17 (or @t16 @t34 @t35 (not @t30) @t21))) % 0.84/1.06 (assume @p15 (forall @t17 (or @t16 @t34 @t33 @t28 @t26))) % 0.84/1.06 (assume @p16 (forall @t17 (or @t16 @t34 @t32 @t31))) % 0.84/1.06 (assume @p17 (forall @t17 (or @t16 @t34 @t32 @t30))) % 0.84/1.06 (assume @p18 (forall @t17 (or @t16 @t36 @t35 @t24))) % 0.84/1.06 (assume @p19 (forall @t17 (or @t16 @t36 @t29 @t21))) % 0.84/1.06 (assume @p20 (forall @t17 (or @t16 @t36 @t32 @t28))) % 0.84/1.06 (assume @p21 (forall @t17 (or @t16 @t36 @t33 @t31))) % 0.84/1.06 (assume @p22 (forall @t40 (or @t39 (tptp.type @t38 tptp.and)))) % 0.84/1.06 (assume @p23 (forall @t40 (or @t39 (tptp.type @t41 tptp.and)))) % 0.84/1.06 (assume @p24 (forall @t40 (or @t39 (tptp.type @t42 tptp.not)))) % 0.84/1.06 (assume @p25 (forall @t40 (or @t39 @t44))) % 0.84/1.06 (assume @p26 (forall @t40 (or @t39 (tptp.connection @t46 @t45)))) % 0.84/1.06 (assume @p27 (forall @t40 (or @t39 (tptp.connection @t48 @t47)))) % 0.84/1.06 (assume @p28 (forall @t40 (or @t39 (tptp.connection @t46 (tptp.in tptp.n1 @t41))))) % 0.84/1.06 (assume @p29 (forall @t40 (or @t39 (tptp.connection @t48 (tptp.in tptp.n2 @t41))))) % 0.84/1.06 (assume @p30 (forall @t40 (or @t39 (tptp.connection @t49 (tptp.out tptp.n1 @t38))))) % 0.84/1.06 (assume @p31 (forall @t40 (or @t39 (tptp.connection @t51 @t50)))) % 0.84/1.06 (assume @p32 (forall @t40 (or @t39 (tptp.connection @t52 (tptp.in tptp.n1 @t38))))) % 0.84/1.06 (assume @p33 (forall @t40 (or @t39 (tptp.connection @t50 (tptp.in tptp.n1 @t42))))) % 0.84/1.06 (assume @p34 (forall @t40 (or @t39 (tptp.connection (tptp.out tptp.n1 @t42) (tptp.in tptp.n2 @t38))))) % 0.84/1.06 (assume @p35 (forall @t40 (or @t54 (tptp.type @t53 tptp.halfadder)))) % 0.84/1.06 (assume @p36 (forall @t40 (or @t54 (tptp.type @t55 tptp.halfadder)))) % 0.84/1.06 (assume @p37 (forall @t40 (or @t54 @t44))) % 0.84/1.06 (assume @p38 (forall @t40 (or @t54 (tptp.connection (tptp.out tptp.s @t53) (tptp.in tptp.n2 @t55))))) % 0.84/1.06 (assume @p39 (forall @t40 (or @t54 (tptp.connection (tptp.out tptp.c @t53) @t47)))) % 0.84/1.06 (assume @p40 (forall @t40 (or @t54 (tptp.connection (tptp.out tptp.c @t55) @t45)))) % 0.84/1.06 (assume @p41 (forall @t40 (or @t54 (tptp.connection @t46 (tptp.in tptp.n1 @t55))))) % 0.84/1.06 (assume @p42 (forall @t40 (or @t54 (tptp.connection @t48 (tptp.in tptp.n1 @t53))))) % 0.84/1.06 (assume @p43 (forall @t40 (or @t54 (tptp.connection @t56 (tptp.in tptp.n2 @t53))))) % 0.84/1.06 (assume @p44 (forall @t40 (or @t54 (tptp.connection @t49 (tptp.out tptp.s @t55))))) % 0.84/1.06 (assume @p45 (forall @t40 (or @t54 (tptp.connection @t51 @t52)))) % 0.84/1.06 (assume @p46 (forall @t40 (or @t59 (tptp.type @t57 tptp.fulladder)))) % 0.84/1.06 (assume @p47 (forall @t40 (or @t59 (tptp.type @t60 tptp.fulladder)))) % 0.84/1.06 (assume @p48 (forall @t40 (or @t59 (tptp.connection (tptp.out tptp.n1 @t37) (tptp.out tptp.n1 @t57))))) % 0.84/1.06 (assume @p49 (forall @t40 (or @t59 (tptp.connection (tptp.out tptp.n2 @t37) (tptp.out tptp.n1 @t60))))) % 0.84/1.06 (assume @p50 (forall @t40 (or @t59 (tptp.connection @t51 (tptp.out tptp.c @t60))))) % 0.84/1.06 (assume @p51 (forall @t40 (or @t59 (tptp.connection (tptp.in tptp.a1 @t37) (tptp.in tptp.n1 @t57))))) % 0.84/1.06 (assume @p52 (forall @t40 (or @t59 (tptp.connection (tptp.in tptp.b1 @t37) (tptp.in tptp.n2 @t57))))) % 0.84/1.06 (assume @p53 (forall @t40 (or @t59 (tptp.connection (tptp.in tptp.a2 @t37) (tptp.in tptp.n1 @t60))))) % 0.84/1.06 (assume @p54 (forall @t40 (or @t59 (tptp.connection (tptp.in tptp.b2 @t37) (tptp.in tptp.n2 @t60))))) % 0.84/1.06 (assume @p55 (forall @t40 (or @t59 (tptp.connection (tptp.out tptp.c @t57) (tptp.in tptp.c @t60))))) % 0.84/1.06 (assume @p56 (forall @t40 (or @t59 (tptp.connection @t56 (tptp.in tptp.c @t57))))) % 0.84/1.06 (assume @p57 @t61) % 0.84/1.06 (assume @p58 (tptp.value (tptp.in tptp.a1 tptp.a) tptp.n0)) % 0.84/1.06 (assume @p59 @t63) % 0.84/1.06 (assume @p60 (tptp.value (tptp.in tptp.b1 tptp.a) tptp.n0)) % 0.84/1.06 (assume @p61 @t65) % 0.84/1.06 (assume @p62 (tptp.value (tptp.in tptp.c tptp.a) tptp.n0)) % 0.84/1.06 (assume @p63 (tptp.value (tptp.out tptp.n1 tptp.a) tptp.n0)) % 0.84/1.06 (assume @p64 (tptp.value (tptp.out tptp.n2 tptp.a) tptp.n0)) % 0.84/1.06 (assume @p65 @t67) % 0.84/1.06 (assume @p66 (not @t70)) % 0.84/1.06 (assume @p67 (not @t73)) % 0.84/1.06 (assume @p68 (not @t76)) % 0.84/1.06 (step @p69 :rule instantiate :premises (@p1) :args ((@list @t78 @t77 tptp.n1))) % 0.84/1.06 (step @p70 :rule instantiate :premises (@p1) :args ((@list @t66 @t78 tptp.n1))) % 0.84/1.06 (step @p71 :rule instantiate :premises (@p50) :args (@t79)) % 0.84/1.06 (step @p72 :rule cnf_or_pos :args (@t82)) % 0.84/1.06 (step @p73 :rule reordering :premises (@p72) :args ((or @t81 @t80 (not @t82)))) % 0.84/1.06 (step @p74 :rule chain_m_resolution :premises (@p73 @p57 @p71) :args (@t80 @t83 (@list @t61 @t82))) % 0.84/1.06 (step @p75 :rule cnf_or_pos :args (@t87)) % 0.84/1.06 (step @p76 :rule reordering :premises (@p75) :args ((or @t85 @t86 @t84 (not @t87)))) % 0.84/1.06 (step @p77 :rule chain_m_resolution :premises (@p76 @p65 @p74 @p70) :args (@t84 @t88 (@list @t67 @t80 @t87))) % 0.84/1.06 (step @p78 :rule instantiate :premises (@p45) :args (@t89)) % 0.84/1.06 (step @p79 :rule instantiate :premises (@p47) :args (@t79)) % 0.84/1.06 (step @p80 :rule cnf_or_pos :args (@t91)) % 0.84/1.06 (step @p81 :rule reordering :premises (@p80) :args ((or @t81 @t90 (not @t91)))) % 0.84/1.06 (step @p82 :rule chain_m_resolution :premises (@p81 @p57 @p79) :args (@t90 @t83 (@list @t61 @t91))) % 0.84/1.06 (step @p83 :rule cnf_or_pos :args (@t94)) % 0.84/1.06 (step @p84 :rule reordering :premises (@p83) :args ((or @t93 @t92 (not @t94)))) % 0.84/1.06 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p78) :args (@t92 @t83 (@list @t90 @t94))) % 0.84/1.07 (step @p86 :rule cnf_or_pos :args (@t98)) % 0.84/1.07 (step @p87 :rule reordering :premises (@p86) :args ((or @t97 @t95 @t96 (not @t98)))) % 0.84/1.07 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p77 @p69) :args (@t95 @t88 (@list @t92 @t84 @t98))) % 0.84/1.07 (step @p89 :rule instantiate :premises (@p14) :args ((@list @t69))) % 0.84/1.07 (step @p90 :rule instantiate :premises (@p1) :args ((@list @t100 @t99 tptp.n0))) % 0.84/1.07 (step @p91 :rule instantiate :premises (@p2) :args ((@list @t100 @t101 tptp.n0))) % 0.84/1.07 (step @p92 :rule instantiate :premises (@p8) :args ((@list @t72 tptp.n1))) % 0.84/1.07 (step @p93 :rule instantiate :premises (@p1) :args ((@list @t103 @t102 tptp.n0))) % 0.84/1.07 (step @p94 :rule instantiate :premises (@p1) :args ((@list @t104 @t103 tptp.n0))) % 0.84/1.07 (step @p95 :rule instantiate :premises (@p1) :args ((@list @t64 @t104 tptp.n0))) % 0.84/1.07 (step @p96 :rule instantiate :premises (@p54) :args (@t79)) % 0.84/1.07 (step @p97 :rule cnf_or_pos :args (@t106)) % 0.84/1.07 (step @p98 :rule reordering :premises (@p97) :args ((or @t81 @t105 (not @t106)))) % 0.84/1.07 (step @p99 :rule chain_m_resolution :premises (@p98 @p57 @p96) :args (@t105 @t83 (@list @t61 @t106))) % 0.84/1.07 (step @p100 :rule cnf_or_pos :args (@t110)) % 0.84/1.07 (step @p101 :rule reordering :premises (@p100) :args ((or @t108 @t109 @t107 (not @t110)))) % 0.84/1.07 (step @p102 :rule chain_m_resolution :premises (@p101 @p61 @p99 @p95) :args (@t107 @t88 (@list @t65 @t105 @t110))) % 0.84/1.07 (step @p103 :rule instantiate :premises (@p42) :args (@t89)) % 0.84/1.07 (step @p104 :rule cnf_or_pos :args (@t112)) % 0.84/1.07 (step @p105 :rule reordering :premises (@p104) :args ((or @t93 @t111 (not @t112)))) % 0.84/1.07 (step @p106 :rule chain_m_resolution :premises (@p105 @p82 @p103) :args (@t111 @t83 (@list @t90 @t112))) % 0.84/1.07 (step @p107 :rule cnf_or_pos :args (@t116)) % 0.84/1.07 (step @p108 :rule reordering :premises (@p107) :args ((or @t115 @t113 @t114 (not @t116)))) % 0.84/1.07 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p102 @p94) :args (@t113 @t88 (@list @t111 @t107 @t116))) % 0.84/1.07 (step @p110 :rule instantiate :premises (@p28) :args (@t117)) % 0.84/1.07 (step @p111 :rule instantiate :premises (@p35) :args (@t89)) % 0.84/1.07 (step @p112 :rule cnf_or_pos :args (@t119)) % 0.84/1.07 (step @p113 :rule reordering :premises (@p112) :args ((or @t118 @t93 (not @t119)))) % 0.84/1.07 (step @p114 :rule chain_m_resolution :premises (@p113 @p82 @p111) :args (@t118 @t83 (@list @t90 @t119))) % 0.84/1.07 (step @p115 :rule cnf_or_pos :args (@t122)) % 0.84/1.07 (step @p116 :rule reordering :premises (@p115) :args ((or @t121 @t120 (not @t122)))) % 0.84/1.07 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p110) :args (@t120 @t83 (@list @t118 @t122))) % 0.84/1.07 (step @p118 :rule cnf_or_pos :args (@t126)) % 0.84/1.07 (step @p119 :rule reordering :premises (@p118) :args ((or @t125 @t124 @t123 (not @t126)))) % 0.84/1.07 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p109 @p93) :args (@t123 @t88 (@list @t120 @t113 @t126))) % 0.84/1.07 (step @p121 :rule instantiate :premises (@p7) :args ((@list @t72 tptp.and))) % 0.84/1.07 (step @p122 :rule instantiate :premises (@p23) :args (@t117)) % 0.84/1.07 (step @p123 :rule cnf_or_pos :args (@t128)) % 0.84/1.07 (step @p124 :rule reordering :premises (@p123) :args ((or @t121 @t127 (not @t128)))) % 0.84/1.07 (step @p125 :rule chain_m_resolution :premises (@p124 @p114 @p122) :args (@t127 @t83 (@list @t118 @t128))) % 0.84/1.07 (step @p126 :rule cnf_or_pos :args (@t131)) % 0.84/1.07 (step @p127 :rule reordering :premises (@p126) :args ((or @t73 @t130 @t129 (not @t131)))) % 0.84/1.07 (step @p128 :rule chain_m_resolution :premises (@p127 @p67 @p125 @p121) :args (@t129 @t132 (@list @t73 @t127 @t131))) % 0.84/1.07 (step @p129 :rule cnf_or_pos :args (@t136)) % 0.84/1.07 (step @p130 :rule reordering :premises (@p129) :args ((or @t130 @t135 @t134 @t133 (not @t136)))) % 0.84/1.07 (step @p131 :rule chain_m_resolution :premises (@p130 @p125 @p128 @p120 @p92) :args (@t133 @t137 (@list @t127 @t129 @t123 @t136))) % 0.84/1.07 (step @p132 :rule instantiate :premises (@p31) :args (@t117)) % 0.84/1.07 (step @p133 :rule cnf_or_pos :args (@t139)) % 0.84/1.07 (step @p134 :rule reordering :premises (@p133) :args ((or @t121 @t138 (not @t139)))) % 0.84/1.07 (step @p135 :rule chain_m_resolution :premises (@p134 @p114 @p132) :args (@t138 @t83 (@list @t118 @t139))) % 0.84/1.07 (step @p136 :rule cnf_or_pos :args (@t143)) % 0.84/1.07 (step @p137 :rule reordering :premises (@p136) :args ((or @t142 @t141 @t140 (not @t143)))) % 0.84/1.07 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p131 @p91) :args (@t140 @t88 (@list @t138 @t133 @t143))) % 0.84/1.07 (step @p139 :rule instantiate :premises (@p39) :args (@t89)) % 0.84/1.07 (step @p140 :rule cnf_or_pos :args (@t145)) % 0.84/1.07 (step @p141 :rule reordering :premises (@p140) :args ((or @t93 @t144 (not @t145)))) % 0.84/1.07 (step @p142 :rule chain_m_resolution :premises (@p141 @p82 @p139) :args (@t144 @t83 (@list @t90 @t145))) % 0.84/1.07 (step @p143 :rule cnf_or_pos :args (@t149)) % 0.84/1.07 (step @p144 :rule reordering :premises (@p143) :args ((or @t148 @t146 @t147 (not @t149)))) % 0.84/1.07 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p138 @p90) :args (@t146 @t88 (@list @t144 @t140 @t149))) % 0.84/1.07 (step @p146 :rule instantiate :premises (@p1) :args ((@list @t151 @t150 tptp.n0))) % 0.84/1.07 (step @p147 :rule instantiate :premises (@p2) :args ((@list @t151 @t152 tptp.n0))) % 0.84/1.07 (step @p148 :rule instantiate :premises (@p8) :args ((@list @t75 tptp.n1))) % 0.84/1.07 (step @p149 :rule instantiate :premises (@p1) :args ((@list @t154 @t153 tptp.n0))) % 0.84/1.07 (step @p150 :rule instantiate :premises (@p1) :args ((@list @t155 @t154 tptp.n0))) % 0.84/1.07 (step @p151 :rule instantiate :premises (@p1) :args ((@list @t62 @t155 tptp.n0))) % 0.84/1.07 (step @p152 :rule instantiate :premises (@p53) :args (@t79)) % 0.84/1.07 (step @p153 :rule cnf_or_pos :args (@t157)) % 0.84/1.07 (step @p154 :rule reordering :premises (@p153) :args ((or @t81 @t156 (not @t157)))) % 0.84/1.07 (step @p155 :rule chain_m_resolution :premises (@p154 @p57 @p152) :args (@t156 @t83 (@list @t61 @t157))) % 0.84/1.07 (step @p156 :rule cnf_or_pos :args (@t161)) % 0.84/1.07 (step @p157 :rule reordering :premises (@p156) :args ((or @t159 @t160 @t158 (not @t161)))) % 0.84/1.07 (step @p158 :rule chain_m_resolution :premises (@p157 @p59 @p155 @p151) :args (@t158 @t88 (@list @t63 @t156 @t161))) % 0.84/1.07 (step @p159 :rule instantiate :premises (@p41) :args (@t89)) % 0.84/1.07 (step @p160 :rule cnf_or_pos :args (@t163)) % 0.84/1.07 (step @p161 :rule reordering :premises (@p160) :args ((or @t93 @t162 (not @t163)))) % 0.84/1.07 (step @p162 :rule chain_m_resolution :premises (@p161 @p82 @p159) :args (@t162 @t83 (@list @t90 @t163))) % 0.84/1.07 (step @p163 :rule cnf_or_pos :args (@t167)) % 0.84/1.07 (step @p164 :rule reordering :premises (@p163) :args ((or @t166 @t165 @t164 (not @t167)))) % 0.84/1.07 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p158 @p150) :args (@t164 @t88 (@list @t162 @t158 @t167))) % 0.84/1.07 (step @p166 :rule instantiate :premises (@p28) :args (@t168)) % 0.84/1.07 (step @p167 :rule instantiate :premises (@p36) :args (@t89)) % 0.84/1.07 (step @p168 :rule cnf_or_pos :args (@t170)) % 0.84/1.07 (step @p169 :rule reordering :premises (@p168) :args ((or @t169 @t93 (not @t170)))) % 0.84/1.07 (step @p170 :rule chain_m_resolution :premises (@p169 @p82 @p167) :args (@t169 @t83 (@list @t90 @t170))) % 0.84/1.07 (step @p171 :rule cnf_or_pos :args (@t173)) % 0.84/1.07 (step @p172 :rule reordering :premises (@p171) :args ((or @t172 @t171 (not @t173)))) % 0.84/1.07 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p166) :args (@t171 @t83 (@list @t169 @t173))) % 0.84/1.07 (step @p174 :rule cnf_or_pos :args (@t177)) % 0.84/1.07 (step @p175 :rule reordering :premises (@p174) :args ((or @t176 @t175 @t174 (not @t177)))) % 0.84/1.07 (step @p176 :rule chain_m_resolution :premises (@p175 @p173 @p165 @p149) :args (@t174 @t88 (@list @t171 @t164 @t177))) % 0.84/1.07 (step @p177 :rule instantiate :premises (@p7) :args ((@list @t75 tptp.and))) % 0.84/1.07 (step @p178 :rule instantiate :premises (@p23) :args (@t168)) % 0.84/1.07 (step @p179 :rule cnf_or_pos :args (@t179)) % 0.84/1.07 (step @p180 :rule reordering :premises (@p179) :args ((or @t172 @t178 (not @t179)))) % 0.84/1.07 (step @p181 :rule chain_m_resolution :premises (@p180 @p170 @p178) :args (@t178 @t83 (@list @t169 @t179))) % 0.84/1.07 (step @p182 :rule cnf_or_pos :args (@t182)) % 0.84/1.07 (step @p183 :rule reordering :premises (@p182) :args ((or @t76 @t181 @t180 (not @t182)))) % 0.84/1.07 (step @p184 :rule chain_m_resolution :premises (@p183 @p68 @p181 @p177) :args (@t180 @t132 (@list @t76 @t178 @t182))) % 0.84/1.07 (step @p185 :rule cnf_or_pos :args (@t186)) % 0.84/1.07 (step @p186 :rule reordering :premises (@p185) :args ((or @t181 @t185 @t184 @t183 (not @t186)))) % 0.84/1.07 (step @p187 :rule chain_m_resolution :premises (@p186 @p181 @p184 @p176 @p148) :args (@t183 @t137 (@list @t178 @t180 @t174 @t186))) % 0.84/1.07 (step @p188 :rule instantiate :premises (@p31) :args (@t168)) % 0.84/1.07 (step @p189 :rule cnf_or_pos :args (@t188)) % 0.84/1.07 (step @p190 :rule reordering :premises (@p189) :args ((or @t172 @t187 (not @t188)))) % 0.84/1.07 (step @p191 :rule chain_m_resolution :premises (@p190 @p170 @p188) :args (@t187 @t83 (@list @t169 @t188))) % 0.84/1.07 (step @p192 :rule cnf_or_pos :args (@t192)) % 0.84/1.07 (step @p193 :rule reordering :premises (@p192) :args ((or @t191 @t190 @t189 (not @t192)))) % 0.84/1.07 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p187 @p147) :args (@t189 @t88 (@list @t187 @t183 @t192))) % 0.84/1.07 (step @p195 :rule instantiate :premises (@p40) :args (@t89)) % 0.84/1.07 (step @p196 :rule cnf_or_pos :args (@t194)) % 0.84/1.07 (step @p197 :rule reordering :premises (@p196) :args ((or @t93 @t193 (not @t194)))) % 0.84/1.07 (step @p198 :rule chain_m_resolution :premises (@p197 @p82 @p195) :args (@t193 @t83 (@list @t90 @t194))) % 0.84/1.07 (step @p199 :rule cnf_or_pos :args (@t198)) % 0.84/1.07 (step @p200 :rule reordering :premises (@p199) :args ((or @t197 @t195 @t196 (not @t198)))) % 0.84/1.07 (step @p201 :rule chain_m_resolution :premises (@p200 @p198 @p194 @p146) :args (@t195 @t88 (@list @t193 @t189 @t198))) % 0.84/1.07 (step @p202 :rule instantiate :premises (@p7) :args ((@list @t69 tptp.or))) % 0.84/1.07 (step @p203 :rule instantiate :premises (@p37) :args (@t89)) % 0.84/1.07 (step @p204 :rule cnf_or_pos :args (@t200)) % 0.84/1.07 (step @p205 :rule reordering :premises (@p204) :args ((or @t199 @t93 (not @t200)))) % 0.84/1.07 (step @p206 :rule chain_m_resolution :premises (@p205 @p82 @p203) :args (@t199 @t83 (@list @t90 @t200))) % 0.84/1.07 (step @p207 :rule cnf_or_pos :args (@t203)) % 0.84/1.07 (step @p208 :rule reordering :premises (@p207) :args ((or @t70 @t202 @t201 (not @t203)))) % 0.84/1.07 (step @p209 :rule chain_m_resolution :premises (@p208 @p66 @p206 @p202) :args (@t201 @t132 (@list @t70 @t199 @t203))) % 0.84/1.07 (step @p210 :rule cnf_or_pos :args (@t208)) % 0.84/1.07 (step @p211 :rule reordering :premises (@p210) :args ((or @t202 @t207 @t206 @t204 @t205 (not @t208)))) % 0.84/1.07 (step @p212 :rule chain_m_resolution :premises (@p211 @p206 @p209 @p201 @p145 @p89) :args (@t204 (@list false false false false false) (@list @t199 @t201 @t195 @t146 @t208))) % 0.84/1.07 (step @p213 :rule cnf_or_pos :args (@t211)) % 0.84/1.07 (step @p214 :rule reordering :premises (@p213) :args ((or @t12 @t210 @t209 @t212))) % 0.84/1.07 (step @p215 :rule chain_m_resolution :premises (@p214 @p4 @p212 @p88) :args (@t212 @t132 (@list @t12 @t204 @t95))) % 0.84/1.07 (assume-push @p222 @t11) % 0.84/1.07 (step @p217 :rule instantiate :premises (@p3) :args ((@list @t77 tptp.n0 tptp.n1))) % 0.84/1.07 (step-pop @p223 :rule scope :premises (@p217)) % 0.84/1.07 (step @p218 :rule process_scope :premises (@p223) :args (@t211)) % 0.84/1.07 (step @p220 :rule implies_elim :premises (@p218)) % 0.84/1.07 (step @p221 false :rule chain_m_resolution :premises (@p220 @p215 @p3) :args (false (@list true false) (@list @t211 @t11))) % 0.84/1.07 ) % 0.84/1.07 % SZS output end Proof % 0.84/1.07 % cvc5 exiting %------------------------------------------------------------------------------