%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV486+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 09:01:39 AM UTC 2026 % Result : Theorem 15.55s 15.89s % Output : Proof 15.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV486+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 20:20:25 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.55/15.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.55/15.89 --- Run --no-e-matching --full-saturate-quant at 6... % 15.55/15.89 % SZS status Theorem % 15.55/15.89 % SZS output start Proof % 15.55/15.89 ( % 15.55/15.89 (declare-sort $$unsorted 0) % 15.55/15.89 (declare-const tptp.n $$unsorted) % 15.55/15.89 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 15.55/15.89 (declare-const tptp.real_one $$unsorted) % 15.55/15.89 (declare-const tptp.qr (-> $$unsorted $$unsorted $$unsorted)) % 15.55/15.89 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 15.55/15.89 (declare-const tptp.real_zero $$unsorted) % 15.55/15.89 (declare-const tptp.int_zero $$unsorted) % 15.55/15.89 (declare-const tptp.int_one $$unsorted) % 15.55/15.89 (declare-const tptp.int_leq (-> $$unsorted $$unsorted Bool)) % 15.55/15.89 (declare-const tptp.int_less (-> $$unsorted $$unsorted Bool)) % 15.55/15.89 (define @t1 () (@var "J" $$unsorted)) % 15.55/15.89 (define @t2 () (@var "I" $$unsorted)) % 15.55/15.89 (define @t3 () (= @t2 @t1)) % 15.55/15.89 (define @t4 () (tptp.int_less @t2 @t1)) % 15.55/15.89 (define @t5 () (@list @t2 @t1)) % 15.55/15.89 (define @t6 () (forall @t5 (= (tptp.int_leq @t2 @t1) (or @t4 @t3)))) % 15.55/15.89 (define @t7 () (@var "K" $$unsorted)) % 15.55/15.89 (define @t8 () (tptp.int_less @t2 @t7)) % 15.55/15.89 (define @t9 () (tptp.int_less @t1 @t7)) % 15.55/15.89 (define @t10 () (and @t4 @t9)) % 15.55/15.89 (define @t11 () (@list @t2 @t1 @t7)) % 15.55/15.89 (define @t12 () (forall @t11 (=> @t10 @t8))) % 15.55/15.89 (define @t13 () (not @t3)) % 15.55/15.89 (define @t14 () (forall @t5 (=> @t4 @t13))) % 15.55/15.89 (define @t15 () (@list @t2)) % 15.55/15.89 (define @t16 () (@var "J2" $$unsorted)) % 15.55/15.89 (define @t17 () (@var "J1" $$unsorted)) % 15.55/15.89 (define @t18 () (@var "I2" $$unsorted)) % 15.55/15.89 (define @t19 () (@var "I1" $$unsorted)) % 15.55/15.89 (define @t20 () (tptp.int_less tptp.int_zero @t7)) % 15.55/15.89 (define @t21 () (tptp.plus @t2 @t7)) % 15.55/15.89 (define @t22 () (and (= @t21 @t1) @t20)) % 15.55/15.89 (define @t23 () (@list @t7)) % 15.55/15.89 (define @t24 () (exists @t23 @t22)) % 15.55/15.89 (define @t25 () (= @t4 @t24)) % 15.55/15.89 (define @t26 () (forall @t5 @t25)) % 15.55/15.89 (define @t27 () (tptp.int_leq tptp.int_one @t2)) % 15.55/15.89 (define @t28 () (forall @t15 (= (tptp.int_less tptp.int_zero @t2) @t27))) % 15.55/15.89 (define @t29 () (@var "C" $$unsorted)) % 15.55/15.89 (define @t30 () (tptp.plus @t7 @t29)) % 15.55/15.89 (define @t31 () (tptp.a @t7 @t30)) % 15.55/15.89 (define @t32 () (tptp.int_leq @t7 @t2)) % 15.55/15.89 (define @t33 () (tptp.int_leq tptp.int_one @t7)) % 15.55/15.89 (define @t34 () (and @t33 @t32)) % 15.55/15.89 (define @t35 () (=> @t34 (= @t31 tptp.real_zero))) % 15.55/15.89 (define @t36 () (forall @t23 @t35)) % 15.55/15.89 (define @t37 () (= @t1 (tptp.plus @t2 @t29))) % 15.55/15.89 (define @t38 () (tptp.int_less tptp.int_zero @t29)) % 15.55/15.89 (define @t39 () (and @t38 @t37)) % 15.55/15.89 (define @t40 () (=> @t39 @t36)) % 15.55/15.89 (define @t41 () (@list @t29)) % 15.55/15.89 (define @t42 () (forall @t41 @t40)) % 15.55/15.89 (define @t43 () (= (tptp.a @t30 @t7) (tptp.qr @t30 @t7))) % 15.55/15.89 (define @t44 () (tptp.int_leq @t7 @t1)) % 15.55/15.89 (define @t45 () (and @t33 @t44)) % 15.55/15.89 (define @t46 () (forall @t23 (=> @t45 @t43))) % 15.55/15.89 (define @t47 () (= @t2 (tptp.plus @t1 @t29))) % 15.55/15.89 (define @t48 () (and @t38 @t47)) % 15.55/15.89 (define @t49 () (=> @t48 @t46)) % 15.55/15.89 (define @t50 () (forall @t41 @t49)) % 15.55/15.89 (define @t51 () (and @t50 @t42)) % 15.55/15.89 (define @t52 () (tptp.int_leq @t1 tptp.n)) % 15.55/15.89 (define @t53 () (tptp.int_leq tptp.int_one @t1)) % 15.55/15.89 (define @t54 () (tptp.int_leq @t2 tptp.n)) % 15.55/15.89 (define @t55 () (and @t27 @t54 @t53 @t52)) % 15.55/15.89 (define @t56 () (=> @t55 @t51)) % 15.55/15.89 (define @t57 () (forall @t5 @t56)) % 15.55/15.89 (define @t58 () (tptp.a @t2 @t1)) % 15.55/15.89 (define @t59 () (and @t27 @t4 @t52)) % 15.55/15.89 (define @t60 () (=> @t59 (= @t58 tptp.real_zero))) % 15.55/15.89 (define @t61 () (forall @t5 @t60)) % 15.55/15.89 (define @t62 () (not @t61)) % 15.55/15.89 (define @t63 () (not @t9)) % 15.55/15.89 (define @t64 () (not @t4)) % 15.55/15.89 (define @t65 () (or @t64 @t63 @t8)) % 15.55/15.89 (define @t66 () (= tptp.real_zero @t58)) % 15.55/15.89 (define @t67 () (not @t52)) % 15.55/15.89 (define @t68 () (not @t27)) % 15.55/15.89 (define @t69 () (or @t68 @t64 @t67 @t66)) % 15.55/15.89 (define @t70 () (forall @t5 @t69)) % 15.55/15.89 (define @t71 () (@quantifiers_skolemize @t70 1)) % 15.55/15.89 (define @t72 () (@var "BOUND_VARIABLE_7653" $$unsorted)) % 15.55/15.89 (define @t73 () (@var "BOUND_VARIABLE_7655" $$unsorted)) % 15.55/15.89 (define @t74 () (or (not (tptp.int_less tptp.int_zero @t72)) (not (= @t1 (tptp.plus @t2 @t72))) (not (tptp.int_leq tptp.int_one @t73)) (not (tptp.int_leq @t73 @t2)) (= tptp.real_zero (tptp.a @t73 (tptp.plus @t73 @t72))))) % 15.55/15.89 (define @t75 () (@var "BOUND_VARIABLE_7637" $$unsorted)) % 15.55/15.89 (define @t76 () (@var "BOUND_VARIABLE_7635" $$unsorted)) % 15.55/15.89 (define @t77 () (tptp.plus @t75 @t76)) % 15.55/15.89 (define @t78 () (or (not (tptp.int_less tptp.int_zero @t76)) (not (= @t2 (tptp.plus @t1 @t76))) (not (tptp.int_leq tptp.int_one @t75)) (not (tptp.int_leq @t75 @t1)) (= (tptp.a @t77 @t75) (tptp.qr @t77 @t75)))) % 15.55/15.89 (define @t79 () (and @t78 @t74)) % 15.55/15.89 (define @t80 () (not @t53)) % 15.55/15.89 (define @t81 () (not @t54)) % 15.55/15.89 (define @t82 () (or @t68 @t81 @t80 @t67 @t79)) % 15.55/15.89 (define @t83 () (@list @t76 @t75 @t72 @t73)) % 15.55/15.89 (define @t84 () (forall @t83 @t82)) % 15.55/15.89 (define @t85 () (forall (@list @t72 @t73) @t74)) % 15.55/15.89 (define @t86 () (@var "BOUND_VARIABLE_7609" $$unsorted)) % 15.55/15.89 (define @t87 () (forall @t83 @t74)) % 15.55/15.89 (define @t88 () (forall (@list @t76 @t75) @t78)) % 15.55/15.89 (define @t89 () (@var "BOUND_VARIABLE_7578" $$unsorted)) % 15.55/15.89 (define @t90 () (forall @t83 @t78)) % 15.55/15.89 (define @t91 () (and @t90 @t87)) % 15.55/15.89 (define @t92 () (forall @t83 @t79)) % 15.55/15.89 (define @t93 () (or @t68 @t81 @t80 @t67 @t92)) % 15.55/15.89 (define @t94 () (= tptp.real_zero (tptp.a @t86 (tptp.plus @t86 @t29)))) % 15.55/15.89 (define @t95 () (not (tptp.int_leq @t86 @t2))) % 15.55/15.89 (define @t96 () (not (tptp.int_leq tptp.int_one @t86))) % 15.55/15.89 (define @t97 () (not @t37)) % 15.55/15.89 (define @t98 () (not @t38)) % 15.55/15.89 (define @t99 () (or @t98 @t97 @t96 @t95 @t94)) % 15.55/15.89 (define @t100 () (@list @t29 @t86)) % 15.55/15.89 (define @t101 () (tptp.plus @t89 @t29)) % 15.55/15.89 (define @t102 () (= (tptp.a @t101 @t89) (tptp.qr @t101 @t89))) % 15.55/15.89 (define @t103 () (not (tptp.int_leq @t89 @t1))) % 15.55/15.89 (define @t104 () (not (tptp.int_leq tptp.int_one @t89))) % 15.55/15.89 (define @t105 () (not @t47)) % 15.55/15.89 (define @t106 () (or @t98 @t105 @t104 @t103 @t102)) % 15.55/15.89 (define @t107 () (@list @t29 @t89)) % 15.55/15.89 (define @t108 () (and (forall @t107 @t106) (forall @t100 @t99))) % 15.55/15.89 (define @t109 () (or @t68 @t81 @t80 @t67 @t108)) % 15.55/15.89 (define @t110 () (or @t68 @t81 @t80 @t67)) % 15.55/15.89 (define @t111 () (or @t96 @t95 @t94)) % 15.55/15.89 (define @t112 () (or @t98 @t97 @t111)) % 15.55/15.89 (define @t113 () (forall @t100 @t112)) % 15.55/15.89 (define @t114 () (@list @t86)) % 15.55/15.89 (define @t115 () (forall @t114 @t112)) % 15.55/15.89 (define @t116 () (forall @t114 @t111)) % 15.55/15.89 (define @t117 () (@list @t7)) % 15.55/15.89 (define @t118 () (or @t98 @t97 @t116)) % 15.55/15.89 (define @t119 () (= tptp.real_zero @t31)) % 15.55/15.89 (define @t120 () (not @t32)) % 15.55/15.89 (define @t121 () (not @t33)) % 15.55/15.89 (define @t122 () (or @t121 @t120 @t119)) % 15.55/15.89 (define @t123 () (forall @t23 @t122)) % 15.55/15.89 (define @t124 () (or @t98 @t97 @t123)) % 15.55/15.89 (define @t125 () (or @t104 @t103 @t102)) % 15.55/15.89 (define @t126 () (or @t98 @t105 @t125)) % 15.55/15.89 (define @t127 () (forall @t107 @t126)) % 15.55/15.89 (define @t128 () (@list @t89)) % 15.55/15.89 (define @t129 () (forall @t128 @t126)) % 15.55/15.89 (define @t130 () (forall @t128 @t125)) % 15.55/15.89 (define @t131 () (or @t98 @t105 @t130)) % 15.55/15.89 (define @t132 () (not @t44)) % 15.55/15.89 (define @t133 () (or @t121 @t132 @t43)) % 15.55/15.89 (define @t134 () (forall @t23 @t133)) % 15.55/15.89 (define @t135 () (or @t98 @t105 @t134)) % 15.55/15.89 (define @t136 () (@quantifiers_skolemize @t70 0)) % 15.55/15.89 (define @t137 () (forall @t23 (or (not (= @t71 (tptp.plus @t136 @t7))) (not @t20)))) % 15.55/15.89 (define @t138 () (@quantifiers_skolemize @t137 0)) % 15.55/15.89 (define @t139 () (or @t68 @t64 @t67)) % 15.55/15.89 (define @t140 () (= tptp.real_zero (tptp.a @t136 @t71))) % 15.55/15.89 (define @t141 () (tptp.int_leq @t71 tptp.n)) % 15.55/15.89 (define @t142 () (not @t141)) % 15.55/15.89 (define @t143 () (tptp.int_less @t136 @t71)) % 15.55/15.89 (define @t144 () (not @t143)) % 15.55/15.89 (define @t145 () (tptp.int_leq tptp.int_one @t136)) % 15.55/15.89 (define @t146 () (not @t145)) % 15.55/15.89 (define @t147 () (or @t146 @t144 @t142 @t140)) % 15.55/15.89 (define @t148 () (@list true)) % 15.55/15.89 (define @t149 () (@list @t147)) % 15.55/15.89 (define @t150 () (= @t1 @t21)) % 15.55/15.89 (define @t151 () (and @t150 @t20)) % 15.55/15.89 (define @t152 () (forall @t23 (not @t151))) % 15.55/15.89 (define @t153 () (not @t152)) % 15.55/15.89 (define @t154 () (not @t137)) % 15.55/15.89 (define @t155 () (= @t143 @t154)) % 15.55/15.89 (define @t156 () (@list false false)) % 15.55/15.89 (define @t157 () (tptp.plus @t136 @t138)) % 15.55/15.89 (define @t158 () (= @t71 @t157)) % 15.55/15.89 (define @t159 () (tptp.int_less tptp.int_zero @t138)) % 15.55/15.89 (define @t160 () (not @t159)) % 15.55/15.89 (define @t161 () (not @t158)) % 15.55/15.89 (define @t162 () (or @t161 @t160)) % 15.55/15.89 (define @t163 () (@list @t162)) % 15.55/15.89 (define @t164 () (tptp.a @t136 @t157)) % 15.55/15.89 (define @t165 () (= tptp.real_zero @t164)) % 15.55/15.89 (define @t166 () (not (tptp.int_less @t1 @t1))) % 15.55/15.89 (define @t167 () (not (= @t1 @t1))) % 15.55/15.89 (define @t168 () (or @t166 @t167)) % 15.55/15.89 (define @t169 () (@list @t1)) % 15.55/15.89 (define @t170 () (or @t13 @t64 @t13)) % 15.55/15.89 (define @t171 () (or @t64 @t13)) % 15.55/15.89 (define @t172 () (forall @t15 @t171)) % 15.55/15.89 (define @t173 () (forall @t169 @t172)) % 15.55/15.89 (define @t174 () (forall (@list @t1 @t2) @t171)) % 15.55/15.89 (define @t175 () (@list @t136)) % 15.55/15.89 (define @t176 () (tptp.int_leq @t136 @t136)) % 15.55/15.89 (define @t177 () (tptp.int_less @t136 @t136)) % 15.55/15.89 (define @t178 () (or @t177 @t176)) % 15.55/15.89 (define @t179 () (@list true false)) % 15.55/15.89 (define @t180 () (not @t176)) % 15.55/15.89 (define @t181 () (or @t160 @t161 @t146 @t180 @t165)) % 15.55/15.89 (define @t182 () (not @t181)) % 15.55/15.89 (define @t183 () (tptp.plus tptp.int_zero tptp.int_zero)) % 15.55/15.89 (define @t184 () (and (or (not (tptp.int_less tptp.int_zero tptp.int_zero)) (not (= @t136 (tptp.plus @t71 tptp.int_zero))) (not (tptp.int_leq tptp.int_one tptp.int_zero)) (not (tptp.int_leq tptp.int_zero @t71)) (= (tptp.a @t183 tptp.int_zero) (tptp.qr @t183 tptp.int_zero))) @t181)) % 15.55/15.89 (define @t185 () (not @t184)) % 15.55/15.89 (define @t186 () (tptp.int_less tptp.n tptp.n)) % 15.55/15.89 (define @t187 () (tptp.int_less @t71 tptp.n)) % 15.55/15.89 (define @t188 () (not @t187)) % 15.55/15.89 (define @t189 () (tptp.int_less tptp.n @t71)) % 15.55/15.89 (define @t190 () (not @t189)) % 15.55/15.89 (define @t191 () (or @t190 @t188 @t186)) % 15.55/15.89 (define @t192 () (or @t187 (= @t71 tptp.n))) % 15.55/15.89 (define @t193 () (= @t141 @t192)) % 15.55/15.89 (define @t194 () (= tptp.n @t71)) % 15.55/15.89 (define @t195 () (or @t187 @t194)) % 15.55/15.89 (define @t196 () (= @t141 @t195)) % 15.55/15.89 (define @t197 () (@list false)) % 15.55/15.89 (define @t198 () (not @t194)) % 15.55/15.89 (define @t199 () (not @t186)) % 15.55/15.89 (define @t200 () (and @t199 @t194 @t189)) % 15.55/15.89 (define @t201 () (tptp.int_less tptp.n @t136)) % 15.55/15.89 (define @t202 () (not @t201)) % 15.55/15.89 (define @t203 () (or @t202 @t144 @t189)) % 15.55/15.89 (define @t204 () (tptp.int_leq @t136 tptp.n)) % 15.55/15.89 (define @t205 () (or @t201 @t204)) % 15.55/15.89 (define @t206 () (tptp.int_leq tptp.int_one @t71)) % 15.55/15.89 (define @t207 () (not @t206)) % 15.55/15.89 (define @t208 () (not @t204)) % 15.55/15.89 (define @t209 () (or @t146 @t208 @t207 @t142 @t184)) % 15.55/15.89 (define @t210 () (tptp.int_less tptp.int_zero @t71)) % 15.55/15.89 (define @t211 () (= @t210 @t206)) % 15.55/15.89 (define @t212 () (not @t210)) % 15.55/15.89 (define @t213 () (tptp.int_less tptp.int_zero @t136)) % 15.55/15.89 (define @t214 () (= @t213 @t145)) % 15.55/15.89 (define @t215 () (= @t145 @t213)) % 15.55/15.89 (define @t216 () (not @t213)) % 15.55/15.89 (define @t217 () (or @t216 @t144 @t210)) % 15.55/15.89 (define @t218 () (not @t217)) % 15.55/15.89 (define @t219 () (forall @t11 @t65)) % 15.55/15.89 (assume @p1 @t6) % 15.55/15.89 (assume @p2 @t12) % 15.55/15.89 (assume @p3 @t14) % 15.55/15.89 (assume @p4 (forall @t5 (or @t4 (tptp.int_leq @t1 @t2)))) % 15.55/15.89 (assume @p5 (tptp.int_less tptp.int_zero tptp.int_one)) % 15.55/15.89 (assume @p6 (forall @t5 (= (tptp.plus @t2 @t1) (tptp.plus @t1 @t2)))) % 15.55/15.89 (assume @p7 (forall @t15 (= (tptp.plus @t2 tptp.int_zero) @t2))) % 15.55/15.89 (assume @p8 (forall (@list @t19 @t17 @t18 @t16) (=> (and (tptp.int_less @t19 @t17) (tptp.int_leq @t18 @t16)) (tptp.int_leq (tptp.plus @t19 @t18) (tptp.plus @t17 @t16))))) % 15.55/15.89 (assume @p9 @t26) % 15.55/15.89 (assume @p10 @t28) % 15.55/15.89 (assume @p11 (not (= tptp.real_zero tptp.real_one))) % 15.55/15.89 (assume @p12 @t57) % 15.55/15.89 (assume @p13 @t62) % 15.55/15.89 (assume @p14 true) % 15.55/15.89 (step @p15 :rule aci_norm :args ((= (or (or @t64 @t63) @t8) @t65))) % 15.55/15.89 (step @p16 :rule refl :args (@t8)) % 15.55/15.89 (step @p17 :rule bool-and-de-morgan :args (@t4 @t9 true)) % 15.55/15.89 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t10) @t8))) % 15.55/15.89 (step @p19 :rule trans :premises (@p18 @p15)) % 15.55/15.89 (step @p20 :rule bool-impl-elim :args (@t10 @t8)) % 15.55/15.89 (step @p21 :rule trans :premises (@p20 @p19)) % 15.55/15.89 (step @p22 :rule cong :premises (@p21) :args (@t12)) % 15.55/15.89 (step @p23 :rule eq_resolve :premises (@p2 @p22)) % 15.55/15.89 (step @p24 :rule instantiate :premises (@p10) :args ((@list @t71))) % 15.55/15.89 (step @p25 :rule quant-merge-prenex :args ((= (forall @t5 @t84) (forall (@list @t2 @t1 @t76 @t75 @t72 @t73) @t82)))) % 15.55/15.89 (step @p26 :rule alpha_equiv :args (@t85 (@list @t72 @t73) (@list @t29 @t86))) % 15.55/15.89 (step @p27 :rule quant-unused-vars :args ((= @t87 @t85))) % 15.55/15.89 (step @p28 :rule trans :premises (@p27 @p26)) % 15.55/15.89 (step @p29 :rule alpha_equiv :args (@t88 (@list @t76 @t75) (@list @t29 @t89))) % 15.55/15.89 (step @p30 :rule quant-unused-vars :args ((= @t90 @t88))) % 15.55/15.89 (step @p31 :rule trans :premises (@p30 @p29)) % 15.55/15.89 (step @p32 :rule nary_cong :premises (@p31 @p28) :args (@t91)) % 15.55/15.89 (step @p33 :rule quant-miniscope-and :args ((= @t92 @t91))) % 15.55/15.89 (step @p34 :rule trans :premises (@p33 @p32)) % 15.55/15.89 (step @p35 :rule refl :args (@t67)) % 15.55/15.89 (step @p36 :rule refl :args (@t80)) % 15.55/15.89 (step @p37 :rule refl :args (@t81)) % 15.55/15.89 (step @p38 :rule refl :args (@t68)) % 15.55/15.89 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36 @p35 @p34) :args (@t93)) % 15.55/15.89 (step @p40 :rule quant-miniscope-or :args ((= @t84 @t93))) % 15.55/15.89 (step @p41 :rule trans :premises (@p40 @p39)) % 15.55/15.89 (step @p42 :rule symm :premises (@p41)) % 15.55/15.89 (step @p43 :rule cong :premises (@p42) :args ((forall @t5 @t109))) % 15.55/15.89 (step @p44 :rule trans :premises (@p43 @p25)) % 15.55/15.89 (step @p45 :rule aci_norm :args ((= (or @t110 @t108) @t109))) % 15.55/15.89 (step @p46 :rule refl :args (@t108)) % 15.55/15.89 (step @p47 :rule aci_norm :args ((= (or @t68 (or @t81 (or @t80 @t67))) @t110))) % 15.55/15.89 (step @p48 :rule bool-and-de-morgan :args (@t53 @t52 true)) % 15.55/15.89 (step @p49 :rule nary_cong :premises (@p37 @p48) :args ((or @t81 (not (and @t53 @t52))))) % 15.55/15.89 (step @p50 :rule bool-and-de-morgan :args (@t54 @t53 (and @t52))) % 15.55/15.89 (step @p51 :rule trans :premises (@p50 @p49)) % 15.55/15.89 (step @p52 :rule nary_cong :premises (@p38 @p51) :args ((or @t68 (not (and @t54 @t53 @t52))))) % 15.55/15.89 (step @p53 :rule bool-and-de-morgan :args (@t27 @t54 (and @t53 @t52))) % 15.55/15.89 (step @p54 :rule trans :premises (@p53 @p52)) % 15.55/15.89 (step @p55 :rule trans :premises (@p54 @p47)) % 15.55/15.89 (step @p56 :rule nary_cong :premises (@p55 @p46) :args ((or (not @t55) @t108))) % 15.55/15.89 (step @p57 :rule trans :premises (@p56 @p45)) % 15.55/15.89 (step @p58 :rule bool-impl-elim :args (@t55 @t108)) % 15.55/15.89 (step @p59 :rule trans :premises (@p58 @p57)) % 15.55/15.89 (step @p60 :rule cong :premises (@p59) :args ((forall @t5 (=> @t55 @t108)))) % 15.55/15.89 (step @p61 :rule trans :premises (@p60 @p44)) % 15.55/15.89 (step @p62 :rule aci_norm :args ((= @t112 @t99))) % 15.55/15.89 (step @p63 :rule cong :premises (@p62) :args (@t113)) % 15.55/15.89 (step @p64 :rule quant-merge-prenex :args ((= (forall @t41 @t115) @t113))) % 15.55/15.89 (step @p65 :rule alpha_equiv :args (@t116 (@list @t86) @t117)) % 15.55/15.89 (step @p66 :rule refl :args (@t97)) % 15.55/15.89 (step @p67 :rule refl :args (@t98)) % 15.55/15.89 (step @p68 :rule nary_cong :premises (@p67 @p66 @p65) :args (@t118)) % 15.55/15.89 (step @p69 :rule quant-miniscope-or :args ((= @t115 @t118))) % 15.55/15.89 (step @p70 :rule trans :premises (@p69 @p68)) % 15.55/15.89 (step @p71 :rule symm :premises (@p70)) % 15.55/15.89 (step @p72 :rule cong :premises (@p71) :args ((forall @t41 @t124))) % 15.55/15.89 (step @p73 :rule trans :premises (@p72 @p64)) % 15.55/15.89 (step @p74 :rule trans :premises (@p73 @p63)) % 15.55/15.89 (step @p75 :rule aci_norm :args ((= (or (or @t98 @t97) @t123) @t124))) % 15.55/15.89 (step @p76 :rule refl :args (@t123)) % 15.55/15.89 (step @p77 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 15.55/15.89 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or (not @t39) @t123))) % 15.55/15.89 (step @p79 :rule trans :premises (@p78 @p75)) % 15.55/15.89 (step @p80 :rule bool-impl-elim :args (@t39 @t123)) % 15.55/15.89 (step @p81 :rule trans :premises (@p80 @p79)) % 15.55/15.89 (step @p82 :rule cong :premises (@p81) :args ((forall @t41 (=> @t39 @t123)))) % 15.55/15.89 (step @p83 :rule trans :premises (@p82 @p74)) % 15.55/15.89 (step @p84 :rule aci_norm :args ((= (or (or @t121 @t120) @t119) @t122))) % 15.55/15.89 (step @p85 :rule refl :args (@t119)) % 15.55/15.89 (step @p86 :rule bool-and-de-morgan :args (@t33 @t32 true)) % 15.55/15.89 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or (not @t34) @t119))) % 15.55/15.89 (step @p88 :rule trans :premises (@p87 @p84)) % 15.55/15.89 (step @p89 :rule bool-impl-elim :args (@t34 @t119)) % 15.55/15.89 (step @p90 :rule trans :premises (@p89 @p88)) % 15.55/15.89 (step @p91 :rule cong :premises (@p90) :args ((forall @t23 (=> @t34 @t119)))) % 15.55/15.89 (step @p92 :rule eq-symm :args (@t31 tptp.real_zero)) % 15.55/15.89 (step @p93 :rule refl :args (@t34)) % 15.55/15.89 (step @p94 :rule cong :premises (@p93 @p92) :args (@t35)) % 15.55/15.89 (step @p95 :rule cong :premises (@p94) :args (@t36)) % 15.55/15.89 (step @p96 :rule trans :premises (@p95 @p91)) % 15.55/15.89 (step @p97 :rule refl :args (@t39)) % 15.55/15.89 (step @p98 :rule cong :premises (@p97 @p96) :args (@t40)) % 15.55/15.89 (step @p99 :rule cong :premises (@p98) :args (@t42)) % 15.55/15.89 (step @p100 :rule trans :premises (@p99 @p83)) % 15.55/15.89 (step @p101 :rule aci_norm :args ((= @t126 @t106))) % 15.55/15.89 (step @p102 :rule cong :premises (@p101) :args (@t127)) % 15.55/15.89 (step @p103 :rule quant-merge-prenex :args ((= (forall @t41 @t129) @t127))) % 15.55/15.89 (step @p104 :rule alpha_equiv :args (@t130 (@list @t89) @t117)) % 15.55/15.89 (step @p105 :rule refl :args (@t105)) % 15.55/15.89 (step @p106 :rule nary_cong :premises (@p67 @p105 @p104) :args (@t131)) % 15.55/15.89 (step @p107 :rule quant-miniscope-or :args ((= @t129 @t131))) % 15.55/15.89 (step @p108 :rule trans :premises (@p107 @p106)) % 15.55/15.89 (step @p109 :rule symm :premises (@p108)) % 15.55/15.89 (step @p110 :rule cong :premises (@p109) :args ((forall @t41 @t135))) % 15.55/15.89 (step @p111 :rule trans :premises (@p110 @p103)) % 15.55/15.89 (step @p112 :rule trans :premises (@p111 @p102)) % 15.55/15.89 (step @p113 :rule aci_norm :args ((= (or (or @t98 @t105) @t134) @t135))) % 15.55/15.89 (step @p114 :rule refl :args (@t134)) % 15.55/15.89 (step @p115 :rule bool-and-de-morgan :args (@t38 @t47 true)) % 15.55/15.89 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or (not @t48) @t134))) % 15.55/15.89 (step @p117 :rule trans :premises (@p116 @p113)) % 15.55/15.89 (step @p118 :rule bool-impl-elim :args (@t48 @t134)) % 15.55/15.89 (step @p119 :rule trans :premises (@p118 @p117)) % 15.55/15.89 (step @p120 :rule cong :premises (@p119) :args ((forall @t41 (=> @t48 @t134)))) % 15.55/15.89 (step @p121 :rule trans :premises (@p120 @p112)) % 15.55/15.89 (step @p122 :rule aci_norm :args ((= (or (or @t121 @t132) @t43) @t133))) % 15.55/15.89 (step @p123 :rule refl :args (@t43)) % 15.55/15.89 (step @p124 :rule bool-and-de-morgan :args (@t33 @t44 true)) % 15.55/15.89 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t45) @t43))) % 15.55/15.89 (step @p126 :rule trans :premises (@p125 @p122)) % 15.55/15.89 (step @p127 :rule bool-impl-elim :args (@t45 @t43)) % 15.55/15.89 (step @p128 :rule trans :premises (@p127 @p126)) % 15.55/15.89 (step @p129 :rule cong :premises (@p128) :args (@t46)) % 15.55/15.89 (step @p130 :rule refl :args (@t48)) % 15.55/15.89 (step @p131 :rule cong :premises (@p130 @p129) :args (@t49)) % 15.55/15.89 (step @p132 :rule cong :premises (@p131) :args (@t50)) % 15.55/15.89 (step @p133 :rule trans :premises (@p132 @p121)) % 15.55/15.89 (step @p134 :rule nary_cong :premises (@p133 @p100) :args (@t51)) % 15.55/15.89 (step @p135 :rule refl :args (@t55)) % 15.55/15.89 (step @p136 :rule cong :premises (@p135 @p134) :args (@t56)) % 15.55/15.89 (step @p137 :rule cong :premises (@p136) :args (@t57)) % 15.55/15.89 (step @p138 :rule trans :premises (@p137 @p61)) % 15.55/15.89 (step @p139 :rule eq_resolve :premises (@p12 @p138)) % 15.55/15.89 (step @p140 :rule instantiate :premises (@p139) :args ((@list @t136 @t71 tptp.int_zero tptp.int_zero @t138 @t136))) % 15.55/15.89 (step @p141 :rule aci_norm :args ((= (or @t139 @t66) @t69))) % 15.55/15.89 (step @p142 :rule refl :args (@t66)) % 15.55/15.89 (step @p143 :rule aci_norm :args ((= (or @t68 (or @t64 @t67)) @t139))) % 15.55/15.89 (step @p144 :rule bool-and-de-morgan :args (@t4 @t52 true)) % 15.55/15.89 (step @p145 :rule nary_cong :premises (@p38 @p144) :args ((or @t68 (not (and @t4 @t52))))) % 15.55/15.89 (step @p146 :rule bool-and-de-morgan :args (@t27 @t4 (and @t52))) % 15.55/15.89 (step @p147 :rule trans :premises (@p146 @p145)) % 15.55/15.89 (step @p148 :rule trans :premises (@p147 @p143)) % 15.55/15.89 (step @p149 :rule nary_cong :premises (@p148 @p142) :args ((or (not @t59) @t66))) % 15.55/15.89 (step @p150 :rule trans :premises (@p149 @p141)) % 15.55/15.89 (step @p151 :rule bool-impl-elim :args (@t59 @t66)) % 15.55/15.89 (step @p152 :rule trans :premises (@p151 @p150)) % 15.55/15.89 (step @p153 :rule cong :premises (@p152) :args ((forall @t5 (=> @t59 @t66)))) % 15.55/15.89 (step @p154 :rule eq-symm :args (@t58 tptp.real_zero)) % 15.55/15.89 (step @p155 :rule refl :args (@t59)) % 15.55/15.89 (step @p156 :rule cong :premises (@p155 @p154) :args (@t60)) % 15.55/15.89 (step @p157 :rule cong :premises (@p156) :args (@t61)) % 15.55/15.89 (step @p158 :rule trans :premises (@p157 @p153)) % 15.55/15.89 (step @p159 :rule cong :premises (@p158) :args (@t62)) % 15.55/15.89 (step @p160 :rule eq_resolve :premises (@p13 @p159)) % 15.55/15.89 (step @p161 :rule skolemize :premises (@p160)) % 15.55/15.89 (step @p162 :rule cnf_or_neg :args (@t147 3)) % 15.55/15.89 (step @p163 :rule chain_m_resolution :premises (@p162 @p161) :args ((not @t140) @t148 @t149)) % 15.55/15.89 (step @p164 :rule false_intro :premises (@p163)) % 15.55/15.89 (step @p165 :rule bool-and-de-morgan :args (@t150 @t20 true)) % 15.55/15.89 (step @p166 :rule cong :premises (@p165) :args (@t152)) % 15.55/15.89 (step @p167 :rule cong :premises (@p166) :args (@t153)) % 15.55/15.89 (step @p168 :rule exists-elim :args ((= (exists @t23 @t151) @t153))) % 15.55/15.89 (step @p169 :rule trans :premises (@p168 @p167)) % 15.55/15.89 (step @p170 :rule refl :args (@t20)) % 15.55/15.89 (step @p171 :rule eq-symm :args (@t21 @t1)) % 15.55/15.89 (step @p172 :rule nary_cong :premises (@p171 @p170) :args (@t22)) % 15.55/15.89 (step @p173 :rule cong :premises (@p172) :args (@t24)) % 15.55/15.89 (step @p174 :rule trans :premises (@p173 @p169)) % 15.55/15.89 (step @p175 :rule refl :args (@t4)) % 15.55/15.89 (step @p176 :rule cong :premises (@p175 @p174) :args (@t25)) % 15.55/15.89 (step @p177 :rule cong :premises (@p176) :args (@t26)) % 15.55/15.89 (step @p178 :rule eq_resolve :premises (@p9 @p177)) % 15.55/15.89 (step @p179 :rule instantiate :premises (@p178) :args ((@list @t136 @t71))) % 15.55/15.89 (step @p180 :rule bool-double-not-elim :args (@t143)) % 15.55/15.89 (step @p181 :rule refl :args (@t147)) % 15.55/15.89 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or @t147 (not @t144)))) % 15.55/15.89 (step @p183 :rule cnf_or_neg :args (@t147 1)) % 15.55/15.89 (step @p184 :rule eq_resolve :premises (@p183 @p182)) % 15.55/15.89 (step @p185 :rule reordering :premises (@p184) :args ((or @t143 @t147))) % 15.55/15.89 (step @p186 :rule chain_m_resolution :premises (@p185 @p161) :args (@t143 @t148 @t149)) % 15.55/15.89 (step @p187 :rule cnf_equiv_pos1 :args (@t155)) % 15.55/15.89 (step @p188 :rule reordering :premises (@p187) :args ((or @t144 @t154 (not @t155)))) % 15.55/15.89 (step @p189 :rule chain_m_resolution :premises (@p188 @p186 @p179) :args (@t154 @t156 (@list @t143 @t155))) % 15.55/15.89 (step @p190 :rule skolemize :premises (@p189)) % 15.55/15.89 (step @p191 :rule bool-double-not-elim :args (@t158)) % 15.55/15.89 (step @p192 :rule refl :args (@t162)) % 15.55/15.89 (step @p193 :rule nary_cong :premises (@p192 @p191) :args ((or @t162 (not @t161)))) % 15.55/15.89 (step @p194 :rule cnf_or_neg :args (@t162 0)) % 15.55/15.89 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 15.55/15.89 (step @p196 :rule reordering :premises (@p195) :args ((or @t158 @t162))) % 15.55/15.89 (step @p197 :rule chain_m_resolution :premises (@p196 @p190) :args (@t158 @t148 @t163)) % 15.55/15.89 (step @p198 :rule symm :premises (@p197)) % 15.55/15.89 (step @p199 :rule refl :args (@t136)) % 15.55/15.89 (step @p200 :rule cong :premises (@p199 @p198) :args (@t164)) % 15.55/15.89 (step @p201 :rule refl :args (tptp.real_zero)) % 15.55/15.89 (step @p202 :rule cong :premises (@p201 @p200) :args (@t165)) % 15.55/15.89 (step @p203 :rule trans :premises (@p202 @p164)) % 15.55/15.89 (step @p204 :rule false_elim :premises (@p203)) % 15.55/15.89 (step @p205 :rule bool-double-not-elim :args (@t159)) % 15.55/15.89 (step @p206 :rule nary_cong :premises (@p192 @p205) :args ((or @t162 (not @t160)))) % 15.55/15.89 (step @p207 :rule cnf_or_neg :args (@t162 1)) % 15.55/15.89 (step @p208 :rule eq_resolve :premises (@p207 @p206)) % 15.55/15.89 (step @p209 :rule reordering :premises (@p208) :args ((or @t159 @t162))) % 15.55/15.89 (step @p210 :rule chain_m_resolution :premises (@p209 @p190) :args (@t159 @t148 @t163)) % 15.55/15.89 (step @p211 :rule instantiate :premises (@p4) :args ((@list @t136 @t136))) % 15.55/15.89 (step @p212 :rule aci_norm :args ((= (or @t166 false) @t166))) % 15.55/15.89 (step @p213 :rule evaluate :args ((not true))) % 15.55/15.89 (step @p214 :rule eq-refl :args (@t1)) % 15.55/15.89 (step @p215 :rule cong :premises (@p214) :args (@t167)) % 15.55/15.89 (step @p216 :rule trans :premises (@p215 @p213)) % 15.55/15.89 (step @p217 :rule refl :args (@t166)) % 15.55/15.89 (step @p218 :rule nary_cong :premises (@p217 @p216) :args (@t168)) % 15.55/15.89 (step @p219 :rule trans :premises (@p218 @p212)) % 15.55/15.89 (step @p220 :rule cong :premises (@p219) :args ((forall @t169 @t168))) % 15.55/15.89 (step @p221 :rule quant-var-elim-eq :args ((= (forall @t15 @t170) @t168))) % 15.55/15.89 (step @p222 :rule aci_norm :args ((= @t171 @t170))) % 15.55/15.89 (step @p223 :rule cong :premises (@p222) :args (@t172)) % 15.55/15.89 (step @p224 :rule trans :premises (@p223 @p221)) % 15.55/15.89 (step @p225 :rule cong :premises (@p224) :args (@t173)) % 15.55/15.89 (step @p226 :rule quant-merge-prenex :args ((= @t173 @t174))) % 15.55/15.89 (step @p227 :rule symm :premises (@p226)) % 15.55/15.89 (step @p228 :rule quant_var_reordering :args ((= (forall @t5 @t171) @t174))) % 15.55/15.89 (step @p229 :rule trans :premises (@p228 @p227 @p225)) % 15.55/15.89 (step @p230 :rule trans :premises (@p229 @p220)) % 15.55/15.89 (step @p231 :rule bool-impl-elim :args (@t4 @t13)) % 15.55/15.89 (step @p232 :rule cong :premises (@p231) :args (@t14)) % 15.55/15.89 (step @p233 :rule trans :premises (@p232 @p230)) % 15.55/15.89 (step @p234 :rule eq_resolve :premises (@p3 @p233)) % 15.55/15.89 (step @p235 :rule instantiate :premises (@p234) :args (@t175)) % 15.55/15.89 (step @p236 :rule cnf_or_pos :args (@t178)) % 15.55/15.89 (step @p237 :rule reordering :premises (@p236) :args ((or @t177 @t176 (not @t178)))) % 15.55/15.89 (step @p238 :rule chain_m_resolution :premises (@p237 @p235 @p211) :args (@t176 @t179 (@list @t177 @t178))) % 15.55/15.89 (step @p239 :rule bool-double-not-elim :args (@t145)) % 15.55/15.89 (step @p240 :rule nary_cong :premises (@p181 @p239) :args ((or @t147 (not @t146)))) % 15.55/15.89 (step @p241 :rule cnf_or_neg :args (@t147 0)) % 15.55/15.89 (step @p242 :rule eq_resolve :premises (@p241 @p240)) % 15.55/15.89 (step @p243 :rule reordering :premises (@p242) :args ((or @t145 @t147))) % 15.55/15.89 (step @p244 :rule chain_m_resolution :premises (@p243 @p161) :args (@t145 @t148 @t149)) % 15.55/15.89 (step @p245 :rule cnf_or_pos :args (@t181)) % 15.55/15.89 (step @p246 :rule reordering :premises (@p245) :args ((or @t146 @t180 @t161 @t160 @t165 @t182))) % 15.55/15.89 (step @p247 :rule chain_m_resolution :premises (@p246 @p244 @p238 @p197 @p210 @p204) :args (@t182 (@list false false false false true) (@list @t145 @t176 @t158 @t159 @t165))) % 15.55/15.89 (step @p248 :rule cnf_and_pos :args (@t184 1)) % 15.55/15.89 (step @p249 :rule reordering :premises (@p248) :args ((or @t181 @t185))) % 15.55/15.89 (step @p250 :rule chain_m_resolution :premises (@p249 @p247) :args (@t185 @t148 (@list @t181))) % 15.55/15.89 (step @p251 :rule instantiate :premises (@p4) :args ((@list tptp.n @t136))) % 15.55/15.89 (step @p252 :rule instantiate :premises (@p23) :args ((@list tptp.n @t136 @t71))) % 15.55/15.89 (step @p253 :rule instantiate :premises (@p234) :args ((@list tptp.n))) % 15.55/15.89 (step @p254 :rule instantiate :premises (@p23) :args ((@list tptp.n @t71 tptp.n))) % 15.55/15.89 (step @p255 :rule cnf_or_pos :args (@t191)) % 15.55/15.89 (step @p256 :rule reordering :premises (@p255) :args ((or @t186 @t190 @t188 (not @t191)))) % 15.55/15.89 (step @p257 :rule eq-symm :args (@t71 tptp.n)) % 15.55/15.89 (step @p258 :rule refl :args (@t187)) % 15.55/15.89 (step @p259 :rule nary_cong :premises (@p258 @p257) :args (@t192)) % 15.55/15.89 (step @p260 :rule refl :args (@t141)) % 15.55/15.89 (step @p261 :rule cong :premises (@p260 @p259) :args (@t193)) % 15.55/15.89 (step @p262 :rule refl :args (@t6)) % 15.55/15.89 (step @p263 :rule cong :premises (@p262 @p261) :args ((=> @t6 @t193))) % 15.55/15.89 (assume-push @p349 @t6) % 15.55/15.89 (step @p265 :rule instantiate :premises (@p1) :args ((@list @t71 tptp.n))) % 15.55/15.89 (step-pop @p350 :rule scope :premises (@p265)) % 15.55/15.89 (step @p266 :rule process_scope :premises (@p350) :args (@t193)) % 15.55/15.89 (step @p268 :rule eq_resolve :premises (@p266 @p263)) % 15.55/15.89 (step @p269 :rule implies_elim :premises (@p268)) % 15.55/15.89 (step @p270 :rule chain_m_resolution :premises (@p269 @p1) :args (@t196 @t197 (@list @t6))) % 15.55/15.89 (step @p271 :rule bool-double-not-elim :args (@t141)) % 15.55/15.89 (step @p272 :rule nary_cong :premises (@p181 @p271) :args ((or @t147 (not @t142)))) % 15.55/15.89 (step @p273 :rule cnf_or_neg :args (@t147 2)) % 15.55/15.89 (step @p274 :rule eq_resolve :premises (@p273 @p272)) % 15.55/15.89 (step @p275 :rule reordering :premises (@p274) :args ((or @t141 @t147))) % 15.55/15.89 (step @p276 :rule chain_m_resolution :premises (@p275 @p161) :args (@t141 @t148 @t149)) % 15.55/15.89 (step @p277 :rule cnf_equiv_pos1 :args (@t196)) % 15.55/15.89 (step @p278 :rule reordering :premises (@p277) :args ((or @t142 @t195 (not @t196)))) % 15.55/15.89 (step @p279 :rule chain_m_resolution :premises (@p278 @p276 @p270) :args (@t195 @t156 (@list @t141 @t196))) % 15.55/15.89 (step @p280 :rule cnf_or_pos :args (@t195)) % 15.55/15.89 (step @p281 :rule reordering :premises (@p280) :args ((or @t194 @t187 (not @t195)))) % 15.55/15.89 (step @p282 :rule refl :args (@t198)) % 15.55/15.89 (step @p283 :rule refl :args (@t190)) % 15.55/15.89 (step @p284 :rule bool-double-not-elim :args (@t186)) % 15.55/15.89 (step @p285 :rule nary_cong :premises (@p284 @p283 @p282) :args ((or (not @t199) @t190 @t198))) % 15.55/15.89 (assume-push @p351 @t199) % 15.55/15.89 (assume-push @p352 @t194) % 15.55/15.89 (assume-push @p353 @t189) % 15.55/15.89 (step @p289 :rule evaluate :args ((= true false))) % 15.55/15.89 (step @p290 :rule false_intro :premises (@p253)) % 15.55/15.89 (step @p291 :rule symm :premises (@p352)) % 15.55/15.89 (step @p292 :rule refl :args (tptp.n)) % 15.55/15.89 (step @p293 :rule cong :premises (@p292 @p291) :args (@t189)) % 15.55/15.89 (step @p294 :rule true_intro :premises (@p353)) % 15.55/15.89 (step @p295 :rule symm :premises (@p294)) % 15.55/15.89 (step @p296 :rule trans :premises (@p295 @p293 @p290)) % 15.55/15.89 (step @p297 false :rule eq_resolve :premises (@p296 @p289)) % 15.55/15.89 (step-pop @p354 :rule scope :premises (@p297)) % 15.55/15.89 (step-pop @p355 :rule scope :premises (@p354)) % 15.55/15.89 (step-pop @p356 :rule scope :premises (@p355)) % 15.55/15.89 (step @p298 :rule process_scope :premises (@p356) :args (false)) % 15.55/15.89 (assume-push @p357 @t199) % 15.55/15.89 (assume-push @p358 @t189) % 15.55/15.89 (assume-push @p359 @t194) % 15.55/15.89 (step @p305 :rule and_intro :premises (@p253 @p359 @p358)) % 15.55/15.89 (step-pop @p360 :rule scope :premises (@p305)) % 15.55/15.89 (step-pop @p361 :rule scope :premises (@p360)) % 15.55/15.89 (step-pop @p362 :rule scope :premises (@p361)) % 15.55/15.89 (step @p306 :rule process_scope :premises (@p362) :args (@t200)) % 15.55/15.89 (step @p310 :rule implies_elim :premises (@p306)) % 15.55/15.89 (step @p311 :rule resolution :premises (@p310 @p298) :args (true @t200)) % 15.55/15.89 (step @p312 :rule not_and :premises (@p311)) % 15.55/15.89 (step @p313 :rule eq_resolve :premises (@p312 @p285)) % 15.55/15.89 (step @p314 :rule chain_m_resolution :premises (@p313 @p253 @p281 @p279 @p256 @p254 @p253) :args (@t190 (@list true false false true false true) (@list @t186 @t194 @t195 @t187 @t191 @t186))) % 15.55/15.89 (step @p315 :rule cnf_or_pos :args (@t203)) % 15.55/15.89 (step @p316 :rule reordering :premises (@p315) :args ((or @t144 @t202 @t189 (not @t203)))) % 15.55/15.89 (step @p317 :rule chain_m_resolution :premises (@p316 @p186 @p314 @p252) :args (@t202 (@list false true false) (@list @t143 @t189 @t203))) % 15.55/15.89 (step @p318 :rule cnf_or_pos :args (@t205)) % 15.55/15.89 (step @p319 :rule reordering :premises (@p318) :args ((or @t201 @t204 (not @t205)))) % 15.55/15.89 (step @p320 :rule chain_m_resolution :premises (@p319 @p317 @p251) :args (@t204 @t179 (@list @t201 @t205))) % 15.55/15.89 (step @p321 :rule cnf_or_pos :args (@t209)) % 15.55/15.89 (step @p322 :rule reordering :premises (@p321) :args ((or @t146 @t142 @t208 @t207 @t184 (not @t209)))) % 15.55/15.89 (step @p323 :rule chain_m_resolution :premises (@p322 @p244 @p276 @p320 @p250 @p140) :args (@t207 (@list false false false true false) (@list @t145 @t141 @t204 @t184 @t209))) % 15.55/15.89 (step @p324 :rule cnf_equiv_pos1 :args (@t211)) % 15.55/15.89 (step @p325 :rule reordering :premises (@p324) :args ((or @t206 @t212 (not @t211)))) % 15.55/15.89 (step @p326 :rule chain_m_resolution :premises (@p325 @p323 @p24) :args (@t212 @t179 (@list @t206 @t211))) % 15.55/15.89 (step @p327 :rule eq-symm :args (@t213 @t145)) % 15.55/15.89 (step @p328 :rule refl :args (@t28)) % 15.55/15.89 (step @p329 :rule cong :premises (@p328 @p327) :args ((=> @t28 @t214))) % 15.55/15.89 (assume-push @p363 @t28) % 15.55/15.89 (step @p331 :rule instantiate :premises (@p10) :args (@t175)) % 15.55/15.89 (step-pop @p364 :rule scope :premises (@p331)) % 15.55/15.89 (step @p332 :rule process_scope :premises (@p364) :args (@t214)) % 15.55/15.89 (step @p334 :rule eq_resolve :premises (@p332 @p329)) % 15.55/15.89 (step @p335 :rule implies_elim :premises (@p334)) % 15.55/15.89 (step @p336 :rule chain_m_resolution :premises (@p335 @p10) :args (@t215 @t197 (@list @t28))) % 15.55/15.89 (step @p337 :rule cnf_equiv_pos1 :args (@t215)) % 15.55/15.89 (step @p338 :rule reordering :premises (@p337) :args ((or @t146 @t213 (not @t215)))) % 15.55/15.89 (step @p339 :rule chain_m_resolution :premises (@p338 @p244 @p336) :args (@t213 @t156 (@list @t145 @t215))) % 15.55/15.89 (step @p340 :rule cnf_or_pos :args (@t217)) % 15.55/15.89 (step @p341 :rule reordering :premises (@p340) :args ((or @t144 @t216 @t210 @t218))) % 15.55/15.89 (step @p342 :rule chain_m_resolution :premises (@p341 @p186 @p339 @p326) :args (@t218 (@list false false true) (@list @t143 @t213 @t210))) % 15.55/15.89 (assume-push @p365 @t219) % 15.55/15.89 (step @p344 :rule instantiate :premises (@p23) :args ((@list tptp.int_zero @t136 @t71))) % 15.55/15.89 (step-pop @p366 :rule scope :premises (@p344)) % 15.55/15.89 (step @p345 :rule process_scope :premises (@p366) :args (@t217)) % 15.55/15.89 (step @p347 :rule implies_elim :premises (@p345)) % 15.55/15.89 (step @p348 false :rule chain_m_resolution :premises (@p347 @p342 @p23) :args (false @t179 (@list @t217 @t219))) % 15.55/15.89 ) % 15.55/15.89 % SZS output end Proof % 15.55/15.89 % cvc5 exiting %------------------------------------------------------------------------------