%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HWV008-1.001 : TPTP v9.2.1. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 0.72s 1.00s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HWV008-1.001 : TPTP v9.2.1. Released v2.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n022.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 02:17:53 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.72/1.00 % SZS status Unsatisfiable % 0.72/1.00 % SZS output start Proof % 0.72/1.00 ( % 0.72/1.00 (declare-sort $$unsorted 0) % 0.72/1.00 (declare-const tptp.abnormal $$unsorted) % 0.72/1.00 (declare-const tptp.value (-> $$unsorted $$unsorted Bool)) % 0.72/1.00 (declare-const tptp.and $$unsorted) % 0.72/1.00 (declare-const tptp.b1 $$unsorted) % 0.72/1.00 (declare-const tptp.ok $$unsorted) % 0.72/1.00 (declare-const tptp.mode (-> $$unsorted $$unsorted Bool)) % 0.72/1.00 (declare-const tptp.n0 $$unsorted) % 0.72/1.00 (declare-const tptp.and1 (-> $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.in (-> $$unsorted $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.nbit_adder (-> $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.halfadder $$unsorted) % 0.72/1.00 (declare-const tptp.a $$unsorted) % 0.72/1.00 (declare-const tptp.n1 $$unsorted) % 0.72/1.00 (declare-const tptp.out (-> $$unsorted $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.v (-> $$unsorted $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.or $$unsorted) % 0.72/1.00 (declare-const tptp.not $$unsorted) % 0.72/1.00 (declare-const tptp.not1 (-> $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.equal_value (-> $$unsorted $$unsorted Bool)) % 0.72/1.00 (declare-const tptp.or1 (-> $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.type (-> $$unsorted $$unsorted Bool)) % 0.72/1.00 (declare-const tptp.c $$unsorted) % 0.72/1.00 (declare-const tptp.connection (-> $$unsorted $$unsorted Bool)) % 0.72/1.00 (declare-const tptp.s $$unsorted) % 0.72/1.00 (declare-const tptp.h1 (-> $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.n2 $$unsorted) % 0.72/1.00 (declare-const tptp.and2 (-> $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.fulladder $$unsorted) % 0.72/1.00 (declare-const tptp.h2 (-> $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.a1 $$unsorted) % 0.72/1.00 (define @t1 () (@var "V" $$unsorted)) % 0.72/1.00 (define @t2 () (@var "P2" $$unsorted)) % 0.72/1.00 (define @t3 () (tptp.value @t2 @t1)) % 0.72/1.00 (define @t4 () (@var "P1" $$unsorted)) % 0.72/1.00 (define @t5 () (tptp.value @t4 @t1)) % 0.72/1.00 (define @t6 () (not (tptp.connection @t4 @t2))) % 0.72/1.00 (define @t7 () (@list @t4 @t2 @t1)) % 0.72/1.00 (define @t8 () (@var "V2" $$unsorted)) % 0.72/1.00 (define @t9 () (@var "V1" $$unsorted)) % 0.72/1.00 (define @t10 () (@var "P" $$unsorted)) % 0.72/1.00 (define @t11 () (forall (@list @t10 @t9 @t8) (or (not (tptp.value @t10 @t9)) (not (tptp.value @t10 @t8)) (tptp.equal_value @t9 @t8)))) % 0.72/1.00 (define @t12 () (tptp.equal_value tptp.n0 tptp.n1)) % 0.72/1.00 (define @t13 () (@var "K" $$unsorted)) % 0.72/1.00 (define @t14 () (tptp.mode @t13 tptp.abnormal)) % 0.72/1.00 (define @t15 () (tptp.mode @t13 tptp.ok)) % 0.72/1.00 (define @t16 () (not @t15)) % 0.72/1.00 (define @t17 () (@list @t13)) % 0.72/1.00 (define @t18 () (@var "Any" $$unsorted)) % 0.72/1.00 (define @t19 () (@list @t13 @t18)) % 0.72/1.00 (define @t20 () (tptp.out tptp.n1 @t13)) % 0.72/1.00 (define @t21 () (tptp.value @t20 tptp.n0)) % 0.72/1.00 (define @t22 () (tptp.in @t18 @t13)) % 0.72/1.00 (define @t23 () (not (tptp.type @t13 tptp.and))) % 0.72/1.00 (define @t24 () (tptp.value @t20 tptp.n1)) % 0.72/1.00 (define @t25 () (tptp.in tptp.n2 @t13)) % 0.72/1.00 (define @t26 () (tptp.value @t25 tptp.n1)) % 0.72/1.00 (define @t27 () (tptp.in tptp.n1 @t13)) % 0.72/1.00 (define @t28 () (tptp.value @t27 tptp.n1)) % 0.72/1.00 (define @t29 () (not @t28)) % 0.72/1.00 (define @t30 () (tptp.value @t25 tptp.n0)) % 0.72/1.00 (define @t31 () (tptp.value @t27 tptp.n0)) % 0.72/1.00 (define @t32 () (not @t21)) % 0.72/1.00 (define @t33 () (not @t24)) % 0.72/1.00 (define @t34 () (not (tptp.type @t13 tptp.or))) % 0.72/1.00 (define @t35 () (not @t31)) % 0.72/1.00 (define @t36 () (not (tptp.type @t13 tptp.not))) % 0.72/1.00 (define @t37 () (@var "X" $$unsorted)) % 0.72/1.00 (define @t38 () (tptp.and1 @t37)) % 0.72/1.00 (define @t39 () (not (tptp.type @t37 tptp.halfadder))) % 0.72/1.00 (define @t40 () (@list @t37)) % 0.72/1.00 (define @t41 () (tptp.and2 @t37)) % 0.72/1.00 (define @t42 () (tptp.not1 @t37)) % 0.72/1.00 (define @t43 () (tptp.or1 @t37)) % 0.72/1.00 (define @t44 () (tptp.type @t43 tptp.or)) % 0.72/1.00 (define @t45 () (tptp.in tptp.n1 @t43)) % 0.72/1.00 (define @t46 () (tptp.in tptp.n1 @t37)) % 0.72/1.00 (define @t47 () (tptp.in tptp.n2 @t43)) % 0.72/1.00 (define @t48 () (tptp.in tptp.n2 @t37)) % 0.72/1.00 (define @t49 () (tptp.out tptp.s @t37)) % 0.72/1.00 (define @t50 () (tptp.out tptp.n1 @t41)) % 0.72/1.00 (define @t51 () (tptp.out tptp.c @t37)) % 0.72/1.00 (define @t52 () (tptp.out tptp.n1 @t43)) % 0.72/1.00 (define @t53 () (tptp.h1 @t37)) % 0.72/1.00 (define @t54 () (not (tptp.type @t37 tptp.fulladder))) % 0.72/1.00 (define @t55 () (tptp.h2 @t37)) % 0.72/1.00 (define @t56 () (tptp.in tptp.c @t37)) % 0.72/1.00 (define @t57 () (tptp.v tptp.n1 @t37)) % 0.72/1.00 (define @t58 () (tptp.nbit_adder tptp.n1)) % 0.72/1.00 (define @t59 () (not (tptp.type @t37 @t58))) % 0.72/1.00 (define @t60 () (tptp.type tptp.a @t58)) % 0.72/1.00 (define @t61 () (tptp.in tptp.a1 tptp.a)) % 0.72/1.00 (define @t62 () (tptp.value @t61 tptp.n0)) % 0.72/1.00 (define @t63 () (tptp.in tptp.c tptp.a)) % 0.72/1.00 (define @t64 () (tptp.value @t63 tptp.n0)) % 0.72/1.00 (define @t65 () (tptp.out tptp.c tptp.a)) % 0.72/1.00 (define @t66 () (tptp.value @t65 tptp.n1)) % 0.72/1.00 (define @t67 () (tptp.v tptp.n1 tptp.a)) % 0.72/1.00 (define @t68 () (tptp.or1 @t67)) % 0.72/1.00 (define @t69 () (tptp.mode @t68 tptp.abnormal)) % 0.72/1.00 (define @t70 () (tptp.h1 @t67)) % 0.72/1.00 (define @t71 () (tptp.and2 @t70)) % 0.72/1.00 (define @t72 () (tptp.mode @t71 tptp.abnormal)) % 0.72/1.00 (define @t73 () (tptp.h2 @t67)) % 0.72/1.00 (define @t74 () (tptp.and2 @t73)) % 0.72/1.00 (define @t75 () (tptp.mode @t74 tptp.abnormal)) % 0.72/1.00 (define @t76 () (tptp.out tptp.n1 @t68)) % 0.72/1.00 (define @t77 () (tptp.out tptp.c @t67)) % 0.72/1.00 (define @t78 () (@list tptp.a)) % 0.72/1.00 (define @t79 () (tptp.connection @t65 @t77)) % 0.72/1.00 (define @t80 () (not @t60)) % 0.72/1.00 (define @t81 () (or @t80 @t79)) % 0.72/1.00 (define @t82 () (@list false false)) % 0.72/1.00 (define @t83 () (tptp.value @t77 tptp.n1)) % 0.72/1.00 (define @t84 () (not @t66)) % 0.72/1.00 (define @t85 () (not @t79)) % 0.72/1.00 (define @t86 () (or @t85 @t84 @t83)) % 0.72/1.00 (define @t87 () (@list false false false)) % 0.72/1.00 (define @t88 () (@list @t67)) % 0.72/1.00 (define @t89 () (tptp.type @t67 tptp.fulladder)) % 0.72/1.00 (define @t90 () (or @t80 @t89)) % 0.72/1.00 (define @t91 () (tptp.connection @t77 @t76)) % 0.72/1.00 (define @t92 () (not @t89)) % 0.72/1.00 (define @t93 () (or @t92 @t91)) % 0.72/1.00 (define @t94 () (tptp.value @t76 tptp.n1)) % 0.72/1.00 (define @t95 () (not @t83)) % 0.72/1.00 (define @t96 () (not @t91)) % 0.72/1.00 (define @t97 () (or @t96 @t95 @t94)) % 0.72/1.00 (define @t98 () (tptp.in tptp.n2 @t68)) % 0.72/1.00 (define @t99 () (tptp.out tptp.c @t70)) % 0.72/1.00 (define @t100 () (tptp.out tptp.n1 @t71)) % 0.72/1.00 (define @t101 () (tptp.in tptp.n2 @t71)) % 0.72/1.00 (define @t102 () (tptp.in tptp.n2 @t70)) % 0.72/1.00 (define @t103 () (tptp.in tptp.c @t67)) % 0.72/1.00 (define @t104 () (tptp.connection @t63 @t103)) % 0.72/1.00 (define @t105 () (or @t80 @t104)) % 0.72/1.00 (define @t106 () (tptp.value @t103 tptp.n0)) % 0.72/1.00 (define @t107 () (not @t64)) % 0.72/1.00 (define @t108 () (not @t104)) % 0.72/1.00 (define @t109 () (or @t108 @t107 @t106)) % 0.72/1.00 (define @t110 () (tptp.connection @t103 @t102)) % 0.72/1.00 (define @t111 () (or @t92 @t110)) % 0.72/1.00 (define @t112 () (tptp.value @t102 tptp.n0)) % 0.72/1.00 (define @t113 () (not @t106)) % 0.72/1.00 (define @t114 () (not @t110)) % 0.72/1.00 (define @t115 () (or @t114 @t113 @t112)) % 0.72/1.00 (define @t116 () (@list @t70)) % 0.72/1.00 (define @t117 () (tptp.type @t70 tptp.halfadder)) % 0.72/1.00 (define @t118 () (or @t92 @t117)) % 0.72/1.00 (define @t119 () (tptp.connection @t102 @t101)) % 0.72/1.00 (define @t120 () (not @t117)) % 0.72/1.00 (define @t121 () (or @t120 @t119)) % 0.72/1.00 (define @t122 () (tptp.value @t101 tptp.n0)) % 0.72/1.00 (define @t123 () (not @t112)) % 0.72/1.00 (define @t124 () (not @t119)) % 0.72/1.00 (define @t125 () (or @t124 @t123 @t122)) % 0.72/1.00 (define @t126 () (tptp.type @t71 tptp.and)) % 0.72/1.00 (define @t127 () (or @t120 @t126)) % 0.72/1.00 (define @t128 () (tptp.mode @t71 tptp.ok)) % 0.72/1.00 (define @t129 () (not @t126)) % 0.72/1.00 (define @t130 () (or @t129 @t128 @t72)) % 0.72/1.00 (define @t131 () (@list true false false)) % 0.72/1.00 (define @t132 () (tptp.value @t100 tptp.n0)) % 0.72/1.00 (define @t133 () (not @t122)) % 0.72/1.00 (define @t134 () (not @t128)) % 0.72/1.00 (define @t135 () (or @t134 @t129 @t133 @t132)) % 0.72/1.00 (define @t136 () (@list false false false false)) % 0.72/1.00 (define @t137 () (tptp.connection @t99 @t100)) % 0.72/1.00 (define @t138 () (or @t120 @t137)) % 0.72/1.00 (define @t139 () (tptp.value @t99 tptp.n0)) % 0.72/1.00 (define @t140 () (not @t132)) % 0.72/1.00 (define @t141 () (not @t137)) % 0.72/1.00 (define @t142 () (or @t141 @t140 @t139)) % 0.72/1.00 (define @t143 () (tptp.connection @t99 @t98)) % 0.72/1.00 (define @t144 () (or @t92 @t143)) % 0.72/1.00 (define @t145 () (tptp.value @t98 tptp.n0)) % 0.72/1.00 (define @t146 () (not @t139)) % 0.72/1.00 (define @t147 () (not @t143)) % 0.72/1.00 (define @t148 () (or @t147 @t146 @t145)) % 0.72/1.00 (define @t149 () (tptp.in tptp.n1 @t68)) % 0.72/1.00 (define @t150 () (tptp.out tptp.c @t73)) % 0.72/1.00 (define @t151 () (tptp.out tptp.n1 @t74)) % 0.72/1.00 (define @t152 () (tptp.in tptp.n1 @t74)) % 0.72/1.00 (define @t153 () (tptp.in tptp.n1 @t73)) % 0.72/1.00 (define @t154 () (tptp.in tptp.n1 @t67)) % 0.72/1.00 (define @t155 () (tptp.connection @t61 @t154)) % 0.72/1.00 (define @t156 () (or @t80 @t155)) % 0.72/1.00 (define @t157 () (tptp.value @t154 tptp.n0)) % 0.72/1.00 (define @t158 () (not @t62)) % 0.72/1.00 (define @t159 () (not @t155)) % 0.72/1.00 (define @t160 () (or @t159 @t158 @t157)) % 0.72/1.00 (define @t161 () (tptp.connection @t154 @t153)) % 0.72/1.00 (define @t162 () (or @t92 @t161)) % 0.72/1.00 (define @t163 () (tptp.value @t153 tptp.n0)) % 0.72/1.00 (define @t164 () (not @t157)) % 0.72/1.00 (define @t165 () (not @t161)) % 0.72/1.00 (define @t166 () (or @t165 @t164 @t163)) % 0.72/1.00 (define @t167 () (@list @t73)) % 0.72/1.00 (define @t168 () (tptp.type @t73 tptp.halfadder)) % 0.72/1.00 (define @t169 () (or @t92 @t168)) % 0.72/1.00 (define @t170 () (tptp.connection @t153 @t152)) % 0.72/1.00 (define @t171 () (not @t168)) % 0.72/1.00 (define @t172 () (or @t171 @t170)) % 0.72/1.00 (define @t173 () (tptp.value @t152 tptp.n0)) % 0.72/1.00 (define @t174 () (not @t163)) % 0.72/1.00 (define @t175 () (not @t170)) % 0.72/1.00 (define @t176 () (or @t175 @t174 @t173)) % 0.72/1.00 (define @t177 () (tptp.type @t74 tptp.and)) % 0.72/1.00 (define @t178 () (or @t171 @t177)) % 0.72/1.00 (define @t179 () (tptp.mode @t74 tptp.ok)) % 0.72/1.00 (define @t180 () (not @t177)) % 0.72/1.00 (define @t181 () (or @t180 @t179 @t75)) % 0.72/1.00 (define @t182 () (tptp.value @t151 tptp.n0)) % 0.72/1.00 (define @t183 () (not @t173)) % 0.72/1.00 (define @t184 () (not @t179)) % 0.72/1.00 (define @t185 () (or @t184 @t180 @t183 @t182)) % 0.72/1.00 (define @t186 () (tptp.connection @t150 @t151)) % 0.72/1.00 (define @t187 () (or @t171 @t186)) % 0.72/1.00 (define @t188 () (tptp.value @t150 tptp.n0)) % 0.72/1.00 (define @t189 () (not @t182)) % 0.72/1.00 (define @t190 () (not @t186)) % 0.72/1.00 (define @t191 () (or @t190 @t189 @t188)) % 0.72/1.00 (define @t192 () (tptp.connection @t150 @t149)) % 0.72/1.00 (define @t193 () (or @t92 @t192)) % 0.72/1.00 (define @t194 () (tptp.value @t149 tptp.n0)) % 0.72/1.00 (define @t195 () (not @t188)) % 0.72/1.00 (define @t196 () (not @t192)) % 0.72/1.00 (define @t197 () (or @t196 @t195 @t194)) % 0.72/1.00 (define @t198 () (tptp.type @t68 tptp.or)) % 0.72/1.00 (define @t199 () (or @t92 @t198)) % 0.72/1.00 (define @t200 () (tptp.mode @t68 tptp.ok)) % 0.72/1.00 (define @t201 () (not @t198)) % 0.72/1.00 (define @t202 () (or @t201 @t200 @t69)) % 0.72/1.00 (define @t203 () (tptp.value @t76 tptp.n0)) % 0.72/1.00 (define @t204 () (not @t145)) % 0.72/1.00 (define @t205 () (not @t194)) % 0.72/1.00 (define @t206 () (not @t200)) % 0.72/1.00 (define @t207 () (or @t206 @t201 @t205 @t204 @t203)) % 0.72/1.00 (define @t208 () (not @t94)) % 0.72/1.00 (define @t209 () (not @t203)) % 0.72/1.00 (define @t210 () (or @t209 @t208 @t12)) % 0.72/1.00 (define @t211 () (not @t210)) % 0.72/1.00 (assume @p1 (forall @t7 (or @t6 (not @t5) @t3))) % 0.72/1.00 (assume @p2 (forall @t7 (or @t6 (not @t3) @t5))) % 0.72/1.00 (assume @p3 @t11) % 0.72/1.00 (assume @p4 (not @t12)) % 0.72/1.00 (assume @p5 (not (tptp.equal_value tptp.n1 tptp.n0))) % 0.72/1.00 (assume @p6 (forall @t17 (or @t16 (not @t14)))) % 0.72/1.00 (assume @p7 (forall @t19 (or (not (tptp.type @t13 @t18)) @t15 @t14))) % 0.72/1.00 (assume @p8 (forall @t19 (or @t16 @t23 (not (tptp.value @t22 tptp.n0)) @t21))) % 0.72/1.00 (assume @p9 (forall @t17 (or @t16 @t23 @t29 (not @t26) @t24))) % 0.72/1.00 (assume @p10 (forall @t17 (or @t16 @t23 @t32 @t31 @t30))) % 0.72/1.00 (assume @p11 (forall @t17 (or @t16 @t23 @t33 @t28))) % 0.72/1.00 (assume @p12 (forall @t17 (or @t16 @t23 @t33 @t26))) % 0.72/1.00 (assume @p13 (forall @t19 (or @t16 @t34 (not (tptp.value @t22 tptp.n1)) @t24))) % 0.72/1.00 (assume @p14 (forall @t17 (or @t16 @t34 @t35 (not @t30) @t21))) % 0.72/1.00 (assume @p15 (forall @t17 (or @t16 @t34 @t33 @t28 @t26))) % 0.72/1.00 (assume @p16 (forall @t17 (or @t16 @t34 @t32 @t31))) % 0.72/1.00 (assume @p17 (forall @t17 (or @t16 @t34 @t32 @t30))) % 0.72/1.00 (assume @p18 (forall @t17 (or @t16 @t36 @t35 @t24))) % 0.72/1.00 (assume @p19 (forall @t17 (or @t16 @t36 @t29 @t21))) % 0.72/1.00 (assume @p20 (forall @t17 (or @t16 @t36 @t32 @t28))) % 0.72/1.00 (assume @p21 (forall @t17 (or @t16 @t36 @t33 @t31))) % 0.72/1.00 (assume @p22 (forall @t40 (or @t39 (tptp.type @t38 tptp.and)))) % 0.72/1.00 (assume @p23 (forall @t40 (or @t39 (tptp.type @t41 tptp.and)))) % 0.72/1.00 (assume @p24 (forall @t40 (or @t39 (tptp.type @t42 tptp.not)))) % 0.72/1.00 (assume @p25 (forall @t40 (or @t39 @t44))) % 0.72/1.00 (assume @p26 (forall @t40 (or @t39 (tptp.connection @t46 @t45)))) % 0.72/1.00 (assume @p27 (forall @t40 (or @t39 (tptp.connection @t48 @t47)))) % 0.72/1.00 (assume @p28 (forall @t40 (or @t39 (tptp.connection @t46 (tptp.in tptp.n1 @t41))))) % 0.72/1.00 (assume @p29 (forall @t40 (or @t39 (tptp.connection @t48 (tptp.in tptp.n2 @t41))))) % 0.72/1.00 (assume @p30 (forall @t40 (or @t39 (tptp.connection @t49 (tptp.out tptp.n1 @t38))))) % 0.72/1.00 (assume @p31 (forall @t40 (or @t39 (tptp.connection @t51 @t50)))) % 0.72/1.00 (assume @p32 (forall @t40 (or @t39 (tptp.connection @t52 (tptp.in tptp.n1 @t38))))) % 0.72/1.00 (assume @p33 (forall @t40 (or @t39 (tptp.connection @t50 (tptp.in tptp.n1 @t42))))) % 0.72/1.00 (assume @p34 (forall @t40 (or @t39 (tptp.connection (tptp.out tptp.n1 @t42) (tptp.in tptp.n2 @t38))))) % 0.72/1.00 (assume @p35 (forall @t40 (or @t54 (tptp.type @t53 tptp.halfadder)))) % 0.72/1.00 (assume @p36 (forall @t40 (or @t54 (tptp.type @t55 tptp.halfadder)))) % 0.72/1.00 (assume @p37 (forall @t40 (or @t54 @t44))) % 0.72/1.00 (assume @p38 (forall @t40 (or @t54 (tptp.connection (tptp.out tptp.s @t53) (tptp.in tptp.n2 @t55))))) % 0.72/1.00 (assume @p39 (forall @t40 (or @t54 (tptp.connection (tptp.out tptp.c @t53) @t47)))) % 0.72/1.00 (assume @p40 (forall @t40 (or @t54 (tptp.connection (tptp.out tptp.c @t55) @t45)))) % 0.72/1.00 (assume @p41 (forall @t40 (or @t54 (tptp.connection @t46 (tptp.in tptp.n1 @t55))))) % 0.72/1.00 (assume @p42 (forall @t40 (or @t54 (tptp.connection @t48 (tptp.in tptp.n1 @t53))))) % 0.72/1.00 (assume @p43 (forall @t40 (or @t54 (tptp.connection @t56 (tptp.in tptp.n2 @t53))))) % 0.72/1.00 (assume @p44 (forall @t40 (or @t54 (tptp.connection @t49 (tptp.out tptp.s @t55))))) % 0.72/1.00 (assume @p45 (forall @t40 (or @t54 (tptp.connection @t51 @t52)))) % 0.72/1.00 (assume @p46 (forall @t40 (or @t59 (tptp.type @t57 tptp.fulladder)))) % 0.72/1.00 (assume @p47 (forall @t40 (or @t59 (tptp.connection (tptp.out tptp.n1 @t37) (tptp.out tptp.s @t57))))) % 0.72/1.00 (assume @p48 (forall @t40 (or @t59 (tptp.connection @t51 (tptp.out tptp.c @t57))))) % 0.72/1.00 (assume @p49 (forall @t40 (or @t59 (tptp.connection (tptp.in tptp.a1 @t37) (tptp.in tptp.n1 @t57))))) % 0.72/1.00 (assume @p50 (forall @t40 (or @t59 (tptp.connection (tptp.in tptp.b1 @t37) (tptp.in tptp.n2 @t57))))) % 0.72/1.00 (assume @p51 (forall @t40 (or @t59 (tptp.connection @t56 (tptp.in tptp.c @t57))))) % 0.72/1.00 (assume @p52 @t60) % 0.72/1.00 (assume @p53 @t62) % 0.72/1.00 (assume @p54 (tptp.value (tptp.in tptp.b1 tptp.a) tptp.n0)) % 0.72/1.00 (assume @p55 @t64) % 0.72/1.00 (assume @p56 (tptp.value (tptp.out tptp.n1 tptp.a) tptp.n0)) % 0.72/1.00 (assume @p57 @t66) % 0.72/1.00 (assume @p58 (not @t69)) % 0.72/1.00 (assume @p59 (not @t72)) % 0.72/1.00 (assume @p60 (not @t75)) % 0.72/1.00 (step @p61 :rule instantiate :premises (@p1) :args ((@list @t77 @t76 tptp.n1))) % 0.72/1.00 (step @p62 :rule instantiate :premises (@p1) :args ((@list @t65 @t77 tptp.n1))) % 0.72/1.00 (step @p63 :rule instantiate :premises (@p48) :args (@t78)) % 0.72/1.00 (step @p64 :rule cnf_or_pos :args (@t81)) % 0.72/1.00 (step @p65 :rule reordering :premises (@p64) :args ((or @t80 @t79 (not @t81)))) % 0.72/1.00 (step @p66 :rule chain_m_resolution :premises (@p65 @p52 @p63) :args (@t79 @t82 (@list @t60 @t81))) % 0.72/1.00 (step @p67 :rule cnf_or_pos :args (@t86)) % 0.72/1.00 (step @p68 :rule reordering :premises (@p67) :args ((or @t84 @t85 @t83 (not @t86)))) % 0.72/1.00 (step @p69 :rule chain_m_resolution :premises (@p68 @p57 @p66 @p62) :args (@t83 @t87 (@list @t66 @t79 @t86))) % 0.72/1.00 (step @p70 :rule instantiate :premises (@p45) :args (@t88)) % 0.72/1.00 (step @p71 :rule instantiate :premises (@p46) :args (@t78)) % 0.72/1.00 (step @p72 :rule cnf_or_pos :args (@t90)) % 0.72/1.00 (step @p73 :rule reordering :premises (@p72) :args ((or @t80 @t89 (not @t90)))) % 0.72/1.00 (step @p74 :rule chain_m_resolution :premises (@p73 @p52 @p71) :args (@t89 @t82 (@list @t60 @t90))) % 0.72/1.00 (step @p75 :rule cnf_or_pos :args (@t93)) % 0.72/1.00 (step @p76 :rule reordering :premises (@p75) :args ((or @t92 @t91 (not @t93)))) % 0.72/1.00 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p70) :args (@t91 @t82 (@list @t89 @t93))) % 0.72/1.00 (step @p78 :rule cnf_or_pos :args (@t97)) % 0.72/1.00 (step @p79 :rule reordering :premises (@p78) :args ((or @t96 @t94 @t95 (not @t97)))) % 0.72/1.00 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p69 @p61) :args (@t94 @t87 (@list @t91 @t83 @t97))) % 0.72/1.00 (step @p81 :rule instantiate :premises (@p14) :args ((@list @t68))) % 0.72/1.00 (step @p82 :rule instantiate :premises (@p1) :args ((@list @t99 @t98 tptp.n0))) % 0.72/1.00 (step @p83 :rule instantiate :premises (@p2) :args ((@list @t99 @t100 tptp.n0))) % 0.72/1.00 (step @p84 :rule instantiate :premises (@p8) :args ((@list @t71 tptp.n2))) % 0.72/1.00 (step @p85 :rule instantiate :premises (@p1) :args ((@list @t102 @t101 tptp.n0))) % 0.72/1.00 (step @p86 :rule instantiate :premises (@p1) :args ((@list @t103 @t102 tptp.n0))) % 0.72/1.00 (step @p87 :rule instantiate :premises (@p1) :args ((@list @t63 @t103 tptp.n0))) % 0.72/1.00 (step @p88 :rule instantiate :premises (@p51) :args (@t78)) % 0.72/1.00 (step @p89 :rule cnf_or_pos :args (@t105)) % 0.72/1.00 (step @p90 :rule reordering :premises (@p89) :args ((or @t80 @t104 (not @t105)))) % 0.72/1.00 (step @p91 :rule chain_m_resolution :premises (@p90 @p52 @p88) :args (@t104 @t82 (@list @t60 @t105))) % 0.72/1.00 (step @p92 :rule cnf_or_pos :args (@t109)) % 0.72/1.00 (step @p93 :rule reordering :premises (@p92) :args ((or @t107 @t108 @t106 (not @t109)))) % 0.72/1.00 (step @p94 :rule chain_m_resolution :premises (@p93 @p55 @p91 @p87) :args (@t106 @t87 (@list @t64 @t104 @t109))) % 0.72/1.00 (step @p95 :rule instantiate :premises (@p43) :args (@t88)) % 0.72/1.00 (step @p96 :rule cnf_or_pos :args (@t111)) % 0.72/1.00 (step @p97 :rule reordering :premises (@p96) :args ((or @t92 @t110 (not @t111)))) % 0.72/1.00 (step @p98 :rule chain_m_resolution :premises (@p97 @p74 @p95) :args (@t110 @t82 (@list @t89 @t111))) % 0.72/1.00 (step @p99 :rule cnf_or_pos :args (@t115)) % 0.72/1.00 (step @p100 :rule reordering :premises (@p99) :args ((or @t114 @t112 @t113 (not @t115)))) % 0.72/1.00 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p94 @p86) :args (@t112 @t87 (@list @t110 @t106 @t115))) % 0.72/1.00 (step @p102 :rule instantiate :premises (@p29) :args (@t116)) % 0.72/1.00 (step @p103 :rule instantiate :premises (@p35) :args (@t88)) % 0.72/1.00 (step @p104 :rule cnf_or_pos :args (@t118)) % 0.72/1.00 (step @p105 :rule reordering :premises (@p104) :args ((or @t117 @t92 (not @t118)))) % 0.72/1.00 (step @p106 :rule chain_m_resolution :premises (@p105 @p74 @p103) :args (@t117 @t82 (@list @t89 @t118))) % 0.72/1.00 (step @p107 :rule cnf_or_pos :args (@t121)) % 0.72/1.00 (step @p108 :rule reordering :premises (@p107) :args ((or @t120 @t119 (not @t121)))) % 0.72/1.00 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p102) :args (@t119 @t82 (@list @t117 @t121))) % 0.72/1.00 (step @p110 :rule cnf_or_pos :args (@t125)) % 0.72/1.00 (step @p111 :rule reordering :premises (@p110) :args ((or @t124 @t123 @t122 (not @t125)))) % 0.72/1.00 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p101 @p85) :args (@t122 @t87 (@list @t119 @t112 @t125))) % 0.72/1.00 (step @p113 :rule instantiate :premises (@p7) :args ((@list @t71 tptp.and))) % 0.72/1.00 (step @p114 :rule instantiate :premises (@p23) :args (@t116)) % 0.72/1.00 (step @p115 :rule cnf_or_pos :args (@t127)) % 0.72/1.00 (step @p116 :rule reordering :premises (@p115) :args ((or @t120 @t126 (not @t127)))) % 0.72/1.00 (step @p117 :rule chain_m_resolution :premises (@p116 @p106 @p114) :args (@t126 @t82 (@list @t117 @t127))) % 0.72/1.00 (step @p118 :rule cnf_or_pos :args (@t130)) % 0.72/1.00 (step @p119 :rule reordering :premises (@p118) :args ((or @t72 @t129 @t128 (not @t130)))) % 0.72/1.00 (step @p120 :rule chain_m_resolution :premises (@p119 @p59 @p117 @p113) :args (@t128 @t131 (@list @t72 @t126 @t130))) % 0.72/1.00 (step @p121 :rule cnf_or_pos :args (@t135)) % 0.72/1.00 (step @p122 :rule reordering :premises (@p121) :args ((or @t129 @t134 @t132 @t133 (not @t135)))) % 0.72/1.00 (step @p123 :rule chain_m_resolution :premises (@p122 @p117 @p120 @p112 @p84) :args (@t132 @t136 (@list @t126 @t128 @t122 @t135))) % 0.72/1.00 (step @p124 :rule instantiate :premises (@p31) :args (@t116)) % 0.72/1.00 (step @p125 :rule cnf_or_pos :args (@t138)) % 0.72/1.00 (step @p126 :rule reordering :premises (@p125) :args ((or @t120 @t137 (not @t138)))) % 0.72/1.00 (step @p127 :rule chain_m_resolution :premises (@p126 @p106 @p124) :args (@t137 @t82 (@list @t117 @t138))) % 0.72/1.00 (step @p128 :rule cnf_or_pos :args (@t142)) % 0.72/1.00 (step @p129 :rule reordering :premises (@p128) :args ((or @t141 @t140 @t139 (not @t142)))) % 0.72/1.00 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p123 @p83) :args (@t139 @t87 (@list @t137 @t132 @t142))) % 0.72/1.00 (step @p131 :rule instantiate :premises (@p39) :args (@t88)) % 0.72/1.00 (step @p132 :rule cnf_or_pos :args (@t144)) % 0.72/1.00 (step @p133 :rule reordering :premises (@p132) :args ((or @t92 @t143 (not @t144)))) % 0.72/1.00 (step @p134 :rule chain_m_resolution :premises (@p133 @p74 @p131) :args (@t143 @t82 (@list @t89 @t144))) % 0.72/1.00 (step @p135 :rule cnf_or_pos :args (@t148)) % 0.72/1.00 (step @p136 :rule reordering :premises (@p135) :args ((or @t147 @t145 @t146 (not @t148)))) % 0.72/1.00 (step @p137 :rule chain_m_resolution :premises (@p136 @p134 @p130 @p82) :args (@t145 @t87 (@list @t143 @t139 @t148))) % 0.72/1.00 (step @p138 :rule instantiate :premises (@p1) :args ((@list @t150 @t149 tptp.n0))) % 0.72/1.00 (step @p139 :rule instantiate :premises (@p2) :args ((@list @t150 @t151 tptp.n0))) % 0.72/1.00 (step @p140 :rule instantiate :premises (@p8) :args ((@list @t74 tptp.n1))) % 0.72/1.00 (step @p141 :rule instantiate :premises (@p1) :args ((@list @t153 @t152 tptp.n0))) % 0.72/1.00 (step @p142 :rule instantiate :premises (@p1) :args ((@list @t154 @t153 tptp.n0))) % 0.72/1.00 (step @p143 :rule instantiate :premises (@p1) :args ((@list @t61 @t154 tptp.n0))) % 0.72/1.00 (step @p144 :rule instantiate :premises (@p49) :args (@t78)) % 0.72/1.00 (step @p145 :rule cnf_or_pos :args (@t156)) % 0.72/1.00 (step @p146 :rule reordering :premises (@p145) :args ((or @t80 @t155 (not @t156)))) % 0.72/1.00 (step @p147 :rule chain_m_resolution :premises (@p146 @p52 @p144) :args (@t155 @t82 (@list @t60 @t156))) % 0.72/1.00 (step @p148 :rule cnf_or_pos :args (@t160)) % 0.72/1.00 (step @p149 :rule reordering :premises (@p148) :args ((or @t158 @t159 @t157 (not @t160)))) % 0.72/1.00 (step @p150 :rule chain_m_resolution :premises (@p149 @p53 @p147 @p143) :args (@t157 @t87 (@list @t62 @t155 @t160))) % 0.72/1.00 (step @p151 :rule instantiate :premises (@p41) :args (@t88)) % 0.72/1.00 (step @p152 :rule cnf_or_pos :args (@t162)) % 0.72/1.00 (step @p153 :rule reordering :premises (@p152) :args ((or @t92 @t161 (not @t162)))) % 0.72/1.00 (step @p154 :rule chain_m_resolution :premises (@p153 @p74 @p151) :args (@t161 @t82 (@list @t89 @t162))) % 0.72/1.00 (step @p155 :rule cnf_or_pos :args (@t166)) % 0.72/1.00 (step @p156 :rule reordering :premises (@p155) :args ((or @t165 @t164 @t163 (not @t166)))) % 0.72/1.00 (step @p157 :rule chain_m_resolution :premises (@p156 @p154 @p150 @p142) :args (@t163 @t87 (@list @t161 @t157 @t166))) % 0.72/1.00 (step @p158 :rule instantiate :premises (@p28) :args (@t167)) % 0.72/1.00 (step @p159 :rule instantiate :premises (@p36) :args (@t88)) % 0.72/1.00 (step @p160 :rule cnf_or_pos :args (@t169)) % 0.72/1.00 (step @p161 :rule reordering :premises (@p160) :args ((or @t168 @t92 (not @t169)))) % 0.72/1.00 (step @p162 :rule chain_m_resolution :premises (@p161 @p74 @p159) :args (@t168 @t82 (@list @t89 @t169))) % 0.72/1.00 (step @p163 :rule cnf_or_pos :args (@t172)) % 0.72/1.00 (step @p164 :rule reordering :premises (@p163) :args ((or @t171 @t170 (not @t172)))) % 0.72/1.00 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p158) :args (@t170 @t82 (@list @t168 @t172))) % 0.72/1.00 (step @p166 :rule cnf_or_pos :args (@t176)) % 0.72/1.00 (step @p167 :rule reordering :premises (@p166) :args ((or @t175 @t174 @t173 (not @t176)))) % 0.72/1.00 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p157 @p141) :args (@t173 @t87 (@list @t170 @t163 @t176))) % 0.72/1.00 (step @p169 :rule instantiate :premises (@p7) :args ((@list @t74 tptp.and))) % 0.72/1.00 (step @p170 :rule instantiate :premises (@p23) :args (@t167)) % 0.72/1.00 (step @p171 :rule cnf_or_pos :args (@t178)) % 0.72/1.00 (step @p172 :rule reordering :premises (@p171) :args ((or @t171 @t177 (not @t178)))) % 0.72/1.00 (step @p173 :rule chain_m_resolution :premises (@p172 @p162 @p170) :args (@t177 @t82 (@list @t168 @t178))) % 0.72/1.00 (step @p174 :rule cnf_or_pos :args (@t181)) % 0.72/1.00 (step @p175 :rule reordering :premises (@p174) :args ((or @t75 @t180 @t179 (not @t181)))) % 0.72/1.00 (step @p176 :rule chain_m_resolution :premises (@p175 @p60 @p173 @p169) :args (@t179 @t131 (@list @t75 @t177 @t181))) % 0.72/1.00 (step @p177 :rule cnf_or_pos :args (@t185)) % 0.72/1.00 (step @p178 :rule reordering :premises (@p177) :args ((or @t180 @t184 @t183 @t182 (not @t185)))) % 0.72/1.00 (step @p179 :rule chain_m_resolution :premises (@p178 @p173 @p176 @p168 @p140) :args (@t182 @t136 (@list @t177 @t179 @t173 @t185))) % 0.72/1.00 (step @p180 :rule instantiate :premises (@p31) :args (@t167)) % 0.72/1.00 (step @p181 :rule cnf_or_pos :args (@t187)) % 0.72/1.00 (step @p182 :rule reordering :premises (@p181) :args ((or @t171 @t186 (not @t187)))) % 0.72/1.00 (step @p183 :rule chain_m_resolution :premises (@p182 @p162 @p180) :args (@t186 @t82 (@list @t168 @t187))) % 0.72/1.00 (step @p184 :rule cnf_or_pos :args (@t191)) % 0.72/1.00 (step @p185 :rule reordering :premises (@p184) :args ((or @t190 @t189 @t188 (not @t191)))) % 0.72/1.00 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p179 @p139) :args (@t188 @t87 (@list @t186 @t182 @t191))) % 0.72/1.00 (step @p187 :rule instantiate :premises (@p40) :args (@t88)) % 0.72/1.00 (step @p188 :rule cnf_or_pos :args (@t193)) % 0.72/1.00 (step @p189 :rule reordering :premises (@p188) :args ((or @t92 @t192 (not @t193)))) % 0.72/1.00 (step @p190 :rule chain_m_resolution :premises (@p189 @p74 @p187) :args (@t192 @t82 (@list @t89 @t193))) % 0.72/1.00 (step @p191 :rule cnf_or_pos :args (@t197)) % 0.72/1.00 (step @p192 :rule reordering :premises (@p191) :args ((or @t196 @t194 @t195 (not @t197)))) % 0.72/1.00 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p186 @p138) :args (@t194 @t87 (@list @t192 @t188 @t197))) % 0.72/1.00 (step @p194 :rule instantiate :premises (@p7) :args ((@list @t68 tptp.or))) % 0.72/1.00 (step @p195 :rule instantiate :premises (@p37) :args (@t88)) % 0.72/1.00 (step @p196 :rule cnf_or_pos :args (@t199)) % 0.72/1.00 (step @p197 :rule reordering :premises (@p196) :args ((or @t198 @t92 (not @t199)))) % 0.72/1.00 (step @p198 :rule chain_m_resolution :premises (@p197 @p74 @p195) :args (@t198 @t82 (@list @t89 @t199))) % 0.72/1.00 (step @p199 :rule cnf_or_pos :args (@t202)) % 0.72/1.00 (step @p200 :rule reordering :premises (@p199) :args ((or @t69 @t201 @t200 (not @t202)))) % 0.72/1.00 (step @p201 :rule chain_m_resolution :premises (@p200 @p58 @p198 @p194) :args (@t200 @t131 (@list @t69 @t198 @t202))) % 0.72/1.00 (step @p202 :rule cnf_or_pos :args (@t207)) % 0.72/1.00 (step @p203 :rule reordering :premises (@p202) :args ((or @t201 @t206 @t205 @t203 @t204 (not @t207)))) % 0.72/1.00 (step @p204 :rule chain_m_resolution :premises (@p203 @p198 @p201 @p193 @p137 @p81) :args (@t203 (@list false false false false false) (@list @t198 @t200 @t194 @t145 @t207))) % 0.72/1.00 (step @p205 :rule cnf_or_pos :args (@t210)) % 0.72/1.00 (step @p206 :rule reordering :premises (@p205) :args ((or @t12 @t209 @t208 @t211))) % 0.72/1.00 (step @p207 :rule chain_m_resolution :premises (@p206 @p4 @p204 @p80) :args (@t211 @t131 (@list @t12 @t203 @t94))) % 0.72/1.00 (assume-push @p214 @t11) % 0.72/1.00 (step @p209 :rule instantiate :premises (@p3) :args ((@list @t76 tptp.n0 tptp.n1))) % 0.72/1.00 (step-pop @p215 :rule scope :premises (@p209)) % 0.72/1.00 (step @p210 :rule process_scope :premises (@p215) :args (@t210)) % 0.72/1.00 (step @p212 :rule implies_elim :premises (@p210)) % 0.72/1.00 (step @p213 false :rule chain_m_resolution :premises (@p212 @p207 @p3) :args (false (@list true false) (@list @t210 @t11))) % 0.72/1.00 ) % 0.72/1.01 % SZS output end Proof % 0.72/1.01 % cvc5 exiting %------------------------------------------------------------------------------