%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS217+1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:29:08 AM UTC 2026 % Result : Theorem 208.06s 208.30s % Output : Proof 208.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS217+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.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 05:29:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 208.06/208.30 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 208.06/208.30 --- Run --no-e-matching --full-saturate-quant at 6... % 208.06/208.30 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 208.06/208.30 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 208.06/208.30 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 208.06/208.30 --- Run --trigger-sel=max --full-saturate-quant at 15... % 208.06/208.30 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 208.06/208.30 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 208.06/208.30 --- Run --prenex-quant=none --full-saturate-quant at 30... % 208.06/208.30 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 208.06/208.30 --- Run --relevant-triggers --full-saturate-quant at 30... % 208.06/208.30 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 208.06/208.30 % SZS status Theorem % 208.06/208.30 % SZS output start Proof % 208.06/208.30 ( % 208.06/208.30 (declare-sort $$unsorted 0) % 208.06/208.30 (declare-const tptp.xora (-> $$unsorted $$unsorted Bool)) % 208.06/208.30 (declare-const tptp.nevera (-> $$unsorted $$unsorted Bool)) % 208.06/208.30 (declare-const tptp.nota (-> $$unsorted $$unsorted Bool)) % 208.06/208.30 (declare-const tptp.mighta (-> $$unsorted $$unsorted Bool)) % 208.06/208.30 (declare-const tptp.noc $$unsorted) % 208.06/208.30 (declare-const tptp.uns $$unsorted) % 208.06/208.30 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 208.06/208.30 (declare-const tptp.tca $$unsorted) % 208.06/208.30 (declare-const tptp.sca $$unsorted) % 208.06/208.30 (declare-const tptp.wth $$unsorted) % 208.06/208.30 (declare-const tptp.unp $$unsorted) % 208.06/208.30 (declare-const tptp.wca $$unsorted) % 208.06/208.30 (declare-const tptp.wec $$unsorted) % 208.06/208.30 (declare-const tptp.sap $$unsorted) % 208.06/208.30 (declare-const tptp.wtc $$unsorted) % 208.06/208.30 (declare-const tptp.model (-> $$unsorted $$unsorted Bool)) % 208.06/208.30 (declare-const tptp.sat $$unsorted) % 208.06/208.30 (declare-const tptp.cax $$unsorted) % 208.06/208.30 (declare-const tptp.eqv $$unsorted) % 208.06/208.30 (declare-const tptp.esa $$unsorted) % 208.06/208.30 (declare-const tptp.csa $$unsorted) % 208.06/208.30 (declare-const tptp.status (-> $$unsorted $$unsorted $$unsorted Bool)) % 208.06/208.30 (declare-const tptp.thm $$unsorted) % 208.06/208.30 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 208.06/208.30 (declare-const tptp.eth $$unsorted) % 208.06/208.30 (declare-const tptp.tac $$unsorted) % 208.06/208.30 (declare-const tptp.tau $$unsorted) % 208.06/208.30 (define @t1 () (@var "C" $$unsorted)) % 208.06/208.30 (define @t2 () (@var "Ax" $$unsorted)) % 208.06/208.30 (define @t3 () (@var "I2" $$unsorted)) % 208.06/208.30 (define @t4 () (tptp.model @t3 @t1)) % 208.06/208.30 (define @t5 () (@list @t3)) % 208.06/208.30 (define @t6 () (exists @t5 @t4)) % 208.06/208.30 (define @t7 () (@var "I1" $$unsorted)) % 208.06/208.30 (define @t8 () (tptp.model @t7 @t2)) % 208.06/208.30 (define @t9 () (@list @t7)) % 208.06/208.30 (define @t10 () (exists @t9 @t8)) % 208.06/208.30 (define @t11 () (not @t10)) % 208.06/208.30 (define @t12 () (@list @t2 @t1)) % 208.06/208.30 (define @t13 () (tptp.model @t7 @t1)) % 208.06/208.30 (define @t14 () (and @t8 @t13)) % 208.06/208.30 (define @t15 () (exists @t9 @t14)) % 208.06/208.30 (define @t16 () (tptp.status @t2 @t1 tptp.thm)) % 208.06/208.30 (define @t17 () (forall @t9 (=> @t8 @t13))) % 208.06/208.30 (define @t18 () (= @t17 @t16)) % 208.06/208.30 (define @t19 () (forall @t12 @t18)) % 208.06/208.30 (define @t20 () (tptp.model @t3 @t2)) % 208.06/208.30 (define @t21 () (forall @t5 @t4)) % 208.06/208.30 (define @t22 () (@var "I3" $$unsorted)) % 208.06/208.30 (define @t23 () (tptp.model @t22 @t2)) % 208.06/208.30 (define @t24 () (not @t23)) % 208.06/208.30 (define @t25 () (tptp.model @t22 @t1)) % 208.06/208.30 (define @t26 () (@list @t22)) % 208.06/208.30 (define @t27 () (exists @t26 (and @t25 @t24))) % 208.06/208.30 (define @t28 () (forall @t5 (=> @t20 @t4))) % 208.06/208.30 (define @t29 () (not @t20)) % 208.06/208.30 (define @t30 () (exists @t5 @t29)) % 208.06/208.30 (define @t31 () (@var "I4" $$unsorted)) % 208.06/208.30 (define @t32 () (tptp.model @t31 @t1)) % 208.06/208.30 (define @t33 () (not @t32)) % 208.06/208.30 (define @t34 () (@list @t31)) % 208.06/208.30 (define @t35 () (exists @t34 @t33)) % 208.06/208.30 (define @t36 () (not @t25)) % 208.06/208.30 (define @t37 () (tptp.not @t1)) % 208.06/208.30 (define @t38 () (tptp.model @t3 @t37)) % 208.06/208.30 (define @t39 () (tptp.status @t2 @t1 tptp.noc)) % 208.06/208.30 (define @t40 () (and @t20 @t38)) % 208.06/208.30 (define @t41 () (exists @t5 @t40)) % 208.06/208.30 (define @t42 () (and @t15 @t41)) % 208.06/208.30 (define @t43 () (= @t42 @t39)) % 208.06/208.30 (define @t44 () (forall @t12 @t43)) % 208.06/208.30 (define @t45 () (@var "S2" $$unsorted)) % 208.06/208.30 (define @t46 () (@var "S1" $$unsorted)) % 208.06/208.30 (define @t47 () (tptp.status @t2 @t1 @t45)) % 208.06/208.30 (define @t48 () (tptp.status @t2 @t1 @t46)) % 208.06/208.30 (define @t49 () (@list @t46 @t45)) % 208.06/208.30 (define @t50 () (tptp.nota @t46 @t45)) % 208.06/208.30 (define @t51 () (not @t47)) % 208.06/208.30 (define @t52 () (and @t48 @t51)) % 208.06/208.30 (define @t53 () (exists @t12 @t52)) % 208.06/208.30 (define @t54 () (= @t53 @t50)) % 208.06/208.30 (define @t55 () (forall @t49 @t54)) % 208.06/208.30 (define @t56 () (@var "F" $$unsorted)) % 208.06/208.30 (define @t57 () (tptp.not @t56)) % 208.06/208.30 (define @t58 () (@var "I" $$unsorted)) % 208.06/208.30 (define @t59 () (tptp.model @t58 @t57)) % 208.06/208.30 (define @t60 () (tptp.model @t58 @t56)) % 208.06/208.30 (define @t61 () (@list @t58 @t56)) % 208.06/208.30 (define @t62 () (forall @t61 (xor @t60 @t59))) % 208.06/208.30 (define @t63 () (@list @t58)) % 208.06/208.30 (define @t64 () (@list @t56)) % 208.06/208.30 (define @t65 () (not @t60)) % 208.06/208.30 (define @t66 () (and @t24 @t25)) % 208.06/208.30 (define @t67 () (exists @t26 @t66)) % 208.06/208.30 (define @t68 () (and @t10 @t28 @t67 @t35)) % 208.06/208.30 (define @t69 () (exists @t12 @t68)) % 208.06/208.30 (define @t70 () (not @t13)) % 208.06/208.30 (define @t71 () (not (tptp.nota tptp.noc tptp.thm))) % 208.06/208.30 (define @t72 () (@var "b_I2" it_8_$$unsorted)) % 208.06/208.30 (define @t73 () (@const 0 (-> it_8_$$unsorted $$unsorted Bool))) % 208.06/208.30 (define @t74 () (@list @t72)) % 208.06/208.30 (define @t75 () (@var "b_I1" it_8_$$unsorted)) % 208.06/208.30 (define @t76 () (@list @t75)) % 208.06/208.30 (define @t77 () (@const 1 it_7_$$unsorted)) % 208.06/208.30 (define @t78 () (@const 2 (-> $$unsorted $$unsorted it_7_$$unsorted Bool))) % 208.06/208.30 (define @t79 () (_ @t78 @t2 @t1 @t77)) % 208.06/208.30 (define @t80 () (not @t8)) % 208.06/208.30 (define @t81 () (and (not (forall @t9 (or @t80 @t70))) (not (forall @t5 (or @t29 (not @t38)))))) % 208.06/208.30 (define @t82 () (forall @t5 (not @t40))) % 208.06/208.30 (define @t83 () (not @t82)) % 208.06/208.30 (define @t84 () (forall @t9 (not @t14))) % 208.06/208.30 (define @t85 () (not @t84)) % 208.06/208.30 (define @t86 () (@var "b_BOUND_VARIABLE_7929" it_8_$$unsorted)) % 208.06/208.30 (define @t87 () (@var "b_BOUND_VARIABLE_7935" it_8_$$unsorted)) % 208.06/208.30 (define @t88 () (@var "b_I2" it_8_$$unsorted)) % 208.06/208.30 (define @t89 () (@list @t88)) % 208.06/208.30 (define @t90 () (@var "b_BOUND_VARIABLE_7925" it_8_$$unsorted)) % 208.06/208.30 (define @t91 () (forall (@list @t2 @t1 @t90 @t86 @t87) (or (not (_ @t73 @t90 @t2)) (not (forall @t89 (or (not (_ @t73 @t88 @t2)) (_ @t73 @t88 @t1)))) (_ @t73 @t87 @t1) (_ @t73 @t86 @t2) (not (_ @t73 @t86 @t1))))) % 208.06/208.30 (define @t92 () (@quantifiers_skolemize @t91 1)) % 208.06/208.30 (define @t93 () (tptp.not @t92)) % 208.06/208.30 (define @t94 () (@quantifiers_skolemize @t91 0)) % 208.06/208.30 (define @t95 () (tptp.not @t94)) % 208.06/208.30 (define @t96 () (@list @t95 @t93)) % 208.06/208.30 (define @t97 () (@var "b_S2" it_7_$$unsorted)) % 208.06/208.30 (define @t98 () (@var "b_S1" it_7_$$unsorted)) % 208.06/208.30 (define @t99 () (@const 3 (-> it_7_$$unsorted it_7_$$unsorted Bool))) % 208.06/208.30 (define @t100 () (not @t48)) % 208.06/208.30 (define @t101 () (not (forall @t12 (or @t100 @t47)))) % 208.06/208.30 (define @t102 () (forall @t12 (not @t52))) % 208.06/208.30 (define @t103 () (not @t102)) % 208.06/208.30 (define @t104 () (@const 4 it_7_$$unsorted)) % 208.06/208.30 (define @t105 () (_ @t99 @t77 @t104)) % 208.06/208.30 (define @t106 () (_ @t78 @t2 @t1 @t104)) % 208.06/208.30 (define @t107 () (forall @t12 (or (not @t79) @t106))) % 208.06/208.30 (define @t108 () (not @t107)) % 208.06/208.30 (define @t109 () (= @t105 @t108)) % 208.06/208.30 (define @t110 () (not @t109)) % 208.06/208.30 (define @t111 () (@list true false)) % 208.06/208.30 (define @t112 () (@var "b_I1" it_8_$$unsorted)) % 208.06/208.30 (define @t113 () (@list @t112)) % 208.06/208.30 (define @t114 () (forall @t9 (or @t80 @t13))) % 208.06/208.30 (define @t115 () (@var "b_I" it_8_$$unsorted)) % 208.06/208.30 (define @t116 () (forall (@list @t115 @t56) (= (_ @t73 @t115 @t57) (not (_ @t73 @t115 @t56))))) % 208.06/208.30 (define @t117 () (@quantifiers_skolemize @t91 3)) % 208.06/208.30 (define @t118 () (_ @t73 @t117 @t95)) % 208.06/208.30 (define @t119 () (_ @t73 @t117 @t94)) % 208.06/208.30 (define @t120 () (not @t119)) % 208.06/208.30 (define @t121 () (= @t118 @t120)) % 208.06/208.30 (define @t122 () (= @t120 @t118)) % 208.06/208.30 (define @t123 () (@list false)) % 208.06/208.30 (define @t124 () (@list @t116)) % 208.06/208.30 (define @t125 () (@var "BOUND_VARIABLE_7929" $$unsorted)) % 208.06/208.30 (define @t126 () (not (tptp.model @t125 @t1))) % 208.06/208.30 (define @t127 () (tptp.model @t125 @t2)) % 208.06/208.30 (define @t128 () (@var "BOUND_VARIABLE_7935" $$unsorted)) % 208.06/208.30 (define @t129 () (tptp.model @t128 @t1)) % 208.06/208.30 (define @t130 () (forall @t5 (or @t29 @t4))) % 208.06/208.30 (define @t131 () (not @t130)) % 208.06/208.30 (define @t132 () (@var "BOUND_VARIABLE_7925" $$unsorted)) % 208.06/208.30 (define @t133 () (not (tptp.model @t132 @t2))) % 208.06/208.30 (define @t134 () (or @t133 @t131 @t129 @t127 @t126)) % 208.06/208.30 (define @t135 () (@list @t2 @t1 @t132 @t125 @t128)) % 208.06/208.30 (define @t136 () (or @t127 @t126)) % 208.06/208.30 (define @t137 () (or @t133 @t131 @t136 @t129)) % 208.06/208.30 (define @t138 () (forall @t135 @t137)) % 208.06/208.30 (define @t139 () (forall (@list @t132 @t125 @t128) @t137)) % 208.06/208.30 (define @t140 () (forall (@list @t128) @t129)) % 208.06/208.30 (define @t141 () (forall (@list @t125) @t136)) % 208.06/208.30 (define @t142 () (forall (@list @t132) @t133)) % 208.06/208.30 (define @t143 () (or @t142 @t131 @t141 @t140)) % 208.06/208.30 (define @t144 () (forall @t34 @t32)) % 208.06/208.30 (define @t145 () (forall @t26 (or @t23 @t36))) % 208.06/208.30 (define @t146 () (forall @t9 @t80)) % 208.06/208.30 (define @t147 () (not @t144)) % 208.06/208.30 (define @t148 () (not @t147)) % 208.06/208.30 (define @t149 () (not @t145)) % 208.06/208.30 (define @t150 () (not @t149)) % 208.06/208.30 (define @t151 () (not @t146)) % 208.06/208.30 (define @t152 () (not @t151)) % 208.06/208.30 (define @t153 () (or @t152 @t131 @t150 @t148)) % 208.06/208.30 (define @t154 () (and @t151 @t130 @t149 @t147)) % 208.06/208.30 (define @t155 () (forall @t12 (not @t154))) % 208.06/208.30 (define @t156 () (not @t155)) % 208.06/208.30 (define @t157 () (forall @t34 (not @t33))) % 208.06/208.30 (define @t158 () (not @t157)) % 208.06/208.30 (define @t159 () (forall @t26 (not @t66))) % 208.06/208.30 (define @t160 () (not @t159)) % 208.06/208.30 (define @t161 () (_ @t73 @t117 @t92)) % 208.06/208.30 (define @t162 () (not @t161)) % 208.06/208.30 (define @t163 () (@quantifiers_skolemize @t91 4)) % 208.06/208.30 (define @t164 () (_ @t73 @t163 @t92)) % 208.06/208.30 (define @t165 () (forall @t89 (or (not (_ @t73 @t88 @t94)) (_ @t73 @t88 @t92)))) % 208.06/208.30 (define @t166 () (not @t165)) % 208.06/208.30 (define @t167 () (or (not (_ @t73 (@quantifiers_skolemize @t91 2) @t94)) @t166 @t164 @t119 @t162)) % 208.06/208.30 (define @t168 () (@list true)) % 208.06/208.30 (define @t169 () (@list @t167)) % 208.06/208.30 (define @t170 () (not @t122)) % 208.06/208.30 (define @t171 () (_ @t73 @t117 @t93)) % 208.06/208.30 (define @t172 () (= @t171 @t162)) % 208.06/208.30 (define @t173 () (= @t162 @t171)) % 208.06/208.30 (define @t174 () (not @t171)) % 208.06/208.30 (define @t175 () (@list false false)) % 208.06/208.30 (define @t176 () (not @t118)) % 208.06/208.30 (define @t177 () (or @t176 @t171)) % 208.06/208.30 (define @t178 () (not @t177)) % 208.06/208.30 (define @t179 () (forall @t113 (or (not (_ @t73 @t112 @t95)) (_ @t73 @t112 @t93)))) % 208.06/208.30 (define @t180 () (@list @t117)) % 208.06/208.30 (define @t181 () (_ @t78 @t95 @t93 @t104)) % 208.06/208.30 (define @t182 () (= @t181 @t179)) % 208.06/208.30 (define @t183 () (not @t181)) % 208.06/208.30 (define @t184 () (_ @t78 @t95 @t93 @t77)) % 208.06/208.30 (define @t185 () (not @t184)) % 208.06/208.30 (define @t186 () (or @t185 @t181)) % 208.06/208.30 (define @t187 () (tptp.not @t93)) % 208.06/208.30 (define @t188 () (forall @t74 (or (not (_ @t73 @t72 @t95)) (not (_ @t73 @t72 @t187))))) % 208.06/208.30 (define @t189 () (not @t188)) % 208.06/208.30 (define @t190 () (forall @t76 (or (not (_ @t73 @t75 @t95)) (not (_ @t73 @t75 @t93))))) % 208.06/208.30 (define @t191 () (not @t190)) % 208.06/208.30 (define @t192 () (and @t191 @t189)) % 208.06/208.30 (define @t193 () (= @t184 @t192)) % 208.06/208.30 (define @t194 () (not @t192)) % 208.06/208.30 (define @t195 () (_ @t73 @t117 @t187)) % 208.06/208.30 (define @t196 () (= @t195 @t174)) % 208.06/208.30 (define @t197 () (= @t174 @t195)) % 208.06/208.30 (define @t198 () (not @t197)) % 208.06/208.30 (define @t199 () (not @t195)) % 208.06/208.30 (define @t200 () (or @t176 @t199)) % 208.06/208.30 (define @t201 () (not @t200)) % 208.06/208.30 (define @t202 () (@var "b_I1" it_8_$$unsorted)) % 208.06/208.30 (define @t203 () (forall (@list @t202) (or (not (_ @t73 @t202 @t95)) (not (_ @t73 @t202 @t187))))) % 208.06/208.30 (define @t204 () (@var "b_I1" it_8_$$unsorted)) % 208.06/208.30 (define @t205 () (forall (@list @t204) (or (not (_ @t73 @t204 @t95)) (not (_ @t73 @t204 @t93))))) % 208.06/208.30 (define @t206 () (_ @t73 @t163 @t95)) % 208.06/208.30 (define @t207 () (_ @t73 @t163 @t94)) % 208.06/208.30 (define @t208 () (not @t207)) % 208.06/208.30 (define @t209 () (= @t206 @t208)) % 208.06/208.30 (define @t210 () (= @t208 @t206)) % 208.06/208.30 (define @t211 () (@list @t163)) % 208.06/208.30 (define @t212 () (not @t164)) % 208.06/208.30 (define @t213 () (or @t208 @t164)) % 208.06/208.30 (define @t214 () (not @t210)) % 208.06/208.30 (define @t215 () (_ @t73 @t163 @t93)) % 208.06/208.30 (define @t216 () (= @t215 @t212)) % 208.06/208.30 (define @t217 () (= @t212 @t215)) % 208.06/208.30 (define @t218 () (not @t217)) % 208.06/208.30 (define @t219 () (not @t215)) % 208.06/208.30 (define @t220 () (not @t206)) % 208.06/208.30 (define @t221 () (or @t220 @t219)) % 208.06/208.30 (define @t222 () (not @t221)) % 208.06/208.30 (assume @p1 (forall @t12 (= (=> @t11 (not @t6)) (tptp.status @t2 @t1 tptp.unp)))) % 208.06/208.30 (assume @p2 (forall @t12 (= (=> @t10 @t6) (tptp.status @t2 @t1 tptp.sap)))) % 208.06/208.30 (assume @p3 (forall @t12 (= (= @t10 @t6) (tptp.status @t2 @t1 tptp.esa)))) % 208.06/208.30 (assume @p4 (forall @t12 (= @t15 (tptp.status @t2 @t1 tptp.sat)))) % 208.06/208.30 (assume @p5 @t19) % 208.06/208.30 (assume @p6 (forall @t12 (= (and @t10 (forall @t5 (= @t20 @t4))) (tptp.status @t2 @t1 tptp.eqv)))) % 208.06/208.30 (assume @p7 (forall @t12 (= (and @t10 @t21) (tptp.status @t2 @t1 tptp.tac)))) % 208.06/208.30 (assume @p8 (forall @t12 (= (and @t10 @t28 @t27) (tptp.status @t2 @t1 tptp.wec)))) % 208.06/208.30 (assume @p9 (forall @t12 (= (and @t10 @t30 (forall @t26 (= @t23 @t25))) (tptp.status @t2 @t1 tptp.eth)))) % 208.06/208.30 (assume @p10 (forall @t12 (= (forall @t9 @t14) (tptp.status @t2 @t1 tptp.tau)))) % 208.06/208.30 (assume @p11 (forall @t12 (= (and @t10 @t30 (forall @t26 @t25)) (tptp.status @t2 @t1 tptp.wtc)))) % 208.06/208.30 (assume @p12 (forall @t12 (= (and @t10 @t28 @t27 @t35) (tptp.status @t2 @t1 tptp.wth)))) % 208.06/208.30 (assume @p13 (forall @t12 (= @t11 (tptp.status @t2 @t1 tptp.cax)))) % 208.06/208.30 (assume @p14 (forall @t12 (= (and @t11 @t6) (tptp.status @t2 @t1 tptp.sca)))) % 208.06/208.30 (assume @p15 (forall @t12 (= (and @t11 @t21) (tptp.status @t2 @t1 tptp.tca)))) % 208.06/208.30 (assume @p16 (forall @t12 (= (and @t11 @t6 (exists @t26 @t36)) (tptp.status @t2 @t1 tptp.wca)))) % 208.06/208.30 (assume @p17 (forall @t12 (= (exists @t9 (and @t8 (tptp.model @t7 @t37))) (tptp.status @t2 @t1 tptp.csa)))) % 208.06/208.30 (assume @p18 (forall @t12 (= (and (forall @t9 @t8) (forall @t5 @t38)) (tptp.status @t2 @t1 tptp.uns)))) % 208.06/208.30 (assume @p19 @t44) % 208.06/208.30 (assume @p20 (forall @t49 (= (exists @t12 (and @t48 @t47)) (tptp.mighta @t46 @t45)))) % 208.06/208.30 (assume @p21 (forall @t49 (= (forall @t12 (=> @t48 @t47)) (tptp.isa @t46 @t45)))) % 208.06/208.30 (assume @p22 @t55) % 208.06/208.30 (assume @p23 (forall @t49 (= (forall @t12 (=> @t48 @t51)) (tptp.nevera @t46 @t45)))) % 208.06/208.30 (assume @p24 (forall @t49 (= (forall @t12 (xor @t48 @t47)) (tptp.xora @t46 @t45)))) % 208.06/208.30 (assume @p25 @t62) % 208.06/208.30 (assume @p26 (forall @t61 (= @t60 (not @t59)))) % 208.06/208.30 (assume @p27 (exists @t64 (forall @t63 @t60))) % 208.06/208.30 (assume @p28 (exists @t64 (and (exists @t9 (tptp.model @t7 @t56)) (exists @t5 (not (tptp.model @t3 @t56)))))) % 208.06/208.30 (assume @p29 (exists @t64 (forall @t63 @t65))) % 208.06/208.30 (assume @p30 (exists @t12 (and @t15 (exists @t5 (or @t29 (not @t4)))))) % 208.06/208.30 (assume @p31 @t69) % 208.06/208.30 (assume @p32 (exists (@list @t7 @t2 @t1) (and @t8 @t70 @t6))) % 208.06/208.30 (assume @p33 @t71) % 208.06/208.30 (assume @p34 true) % 208.06/208.30 ; WARNING: add trust step for TRUST % 208.06/208.30 ; trust TRUST PREPROCESS_SORT_INFER % 208.06/208.30 (step @p35 :rule trust :premises () :args ((= (forall @t12 (= @t39 @t81)) (forall @t12 (= @t79 (and (not (forall @t76 (or (not (_ @t73 @t75 @t2)) (not (_ @t73 @t75 @t1))))) (not (forall @t74 (or (not (_ @t73 @t72 @t2)) (not (_ @t73 @t72 @t37))))))))))) % 208.06/208.30 (step @p36 :rule eq-symm :args (@t81 @t39)) % 208.06/208.30 (step @p37 :rule refl :args (@t39)) % 208.06/208.30 (step @p38 :rule bool-and-de-morgan :args (@t20 @t38 true)) % 208.06/208.30 (step @p39 :rule cong :premises (@p38) :args (@t82)) % 208.06/208.30 (step @p40 :rule cong :premises (@p39) :args (@t83)) % 208.06/208.30 (step @p41 :rule exists-elim :args ((= @t41 @t83))) % 208.06/208.30 (step @p42 :rule trans :premises (@p41 @p40)) % 208.06/208.30 (step @p43 :rule bool-and-de-morgan :args (@t8 @t13 true)) % 208.06/208.30 (step @p44 :rule cong :premises (@p43) :args (@t84)) % 208.06/208.30 (step @p45 :rule cong :premises (@p44) :args (@t85)) % 208.06/208.30 (step @p46 :rule exists-elim :args ((= @t15 @t85))) % 208.06/208.30 (step @p47 :rule trans :premises (@p46 @p45)) % 208.06/208.30 (step @p48 :rule nary_cong :premises (@p47 @p42) :args (@t42)) % 208.06/208.30 (step @p49 :rule cong :premises (@p48 @p37) :args (@t43)) % 208.06/208.30 (step @p50 :rule trans :premises (@p49 @p36)) % 208.06/208.30 (step @p51 :rule cong :premises (@p50) :args (@t44)) % 208.06/208.30 (step @p52 :rule trans :premises (@p51 @p35)) % 208.06/208.30 (step @p53 :rule eq_resolve :premises (@p19 @p52)) % 208.06/208.30 (step @p54 :rule instantiate :premises (@p53) :args (@t96)) % 208.06/208.30 ; trust TRUST PREPROCESS_SORT_INFER % 208.06/208.30 (step @p55 :rule trust :premises () :args ((= (forall @t49 (= @t50 @t101)) (forall (@list @t98 @t97) (= (_ @t99 @t98 @t97) (not (forall @t12 (or (not (_ @t78 @t2 @t1 @t98)) (_ @t78 @t2 @t1 @t97))))))))) % 208.06/208.30 (step @p56 :rule eq-symm :args (@t101 @t50)) % 208.06/208.30 (step @p57 :rule refl :args (@t50)) % 208.06/208.30 (step @p58 :rule bool-double-not-elim :args (@t47)) % 208.06/208.30 (step @p59 :rule refl :args (@t100)) % 208.06/208.30 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t100 (not @t51)))) % 208.06/208.30 (step @p61 :rule bool-and-de-morgan :args (@t48 @t51 true)) % 208.06/208.30 (step @p62 :rule trans :premises (@p61 @p60)) % 208.06/208.30 (step @p63 :rule cong :premises (@p62) :args (@t102)) % 208.06/208.30 (step @p64 :rule cong :premises (@p63) :args (@t103)) % 208.06/208.30 (step @p65 :rule exists-elim :args ((= @t53 @t103))) % 208.06/208.30 (step @p66 :rule trans :premises (@p65 @p64)) % 208.06/208.30 (step @p67 :rule cong :premises (@p66 @p57) :args (@t54)) % 208.06/208.30 (step @p68 :rule trans :premises (@p67 @p56)) % 208.06/208.30 (step @p69 :rule cong :premises (@p68) :args (@t55)) % 208.06/208.30 (step @p70 :rule trans :premises (@p69 @p55)) % 208.06/208.30 (step @p71 :rule eq_resolve :premises (@p22 @p70)) % 208.06/208.30 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t77 @t104))) % 208.06/208.30 ; trust TRUST PREPROCESS_SORT_INFER % 208.06/208.30 (step @p73 :rule trust :premises () :args ((= @t71 (not @t105)))) % 208.06/208.30 (step @p74 :rule eq_resolve :premises (@p33 @p73)) % 208.06/208.30 (step @p75 :rule bool-double-not-elim :args (@t107)) % 208.06/208.30 (step @p76 :rule refl :args (@t105)) % 208.06/208.30 (step @p77 :rule refl :args (@t110)) % 208.06/208.30 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75) :args ((or @t110 @t105 (not @t108)))) % 208.06/208.30 (step @p79 :rule cnf_equiv_pos2 :args (@t109)) % 208.06/208.30 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 208.06/208.30 (step @p81 :rule reordering :premises (@p80) :args ((or @t105 @t107 @t110))) % 208.06/208.30 (step @p82 :rule chain_m_resolution :premises (@p81 @p74 @p72) :args (@t107 @t111 (@list @t105 @t109))) % 208.06/208.30 (step @p83 :rule instantiate :premises (@p82) :args (@t96)) % 208.06/208.30 ; trust TRUST PREPROCESS_SORT_INFER % 208.06/208.30 (step @p84 :rule trust :premises () :args ((= (forall @t12 (= @t16 @t114)) (forall @t12 (= @t106 (forall @t113 (or (not (_ @t73 @t112 @t2)) (_ @t73 @t112 @t1)))))))) % 208.06/208.30 (step @p85 :rule eq-symm :args (@t114 @t16)) % 208.06/208.30 (step @p86 :rule refl :args (@t16)) % 208.06/208.30 (step @p87 :rule bool-impl-elim :args (@t8 @t13)) % 208.06/208.30 (step @p88 :rule cong :premises (@p87) :args (@t17)) % 208.06/208.30 (step @p89 :rule cong :premises (@p88 @p86) :args (@t18)) % 208.06/208.30 (step @p90 :rule trans :premises (@p89 @p85)) % 208.06/208.30 (step @p91 :rule cong :premises (@p90) :args (@t19)) % 208.06/208.30 (step @p92 :rule trans :premises (@p91 @p84)) % 208.06/208.30 (step @p93 :rule eq_resolve :premises (@p5 @p92)) % 208.06/208.30 (step @p94 :rule instantiate :premises (@p93) :args (@t96)) % 208.06/208.30 ; trust TRUST PREPROCESS_SORT_INFER % 208.06/208.30 (step @p95 :rule trust :premises () :args ((= (forall @t61 (= @t59 @t65)) @t116))) % 208.06/208.30 (step @p96 :rule eq-symm :args (@t65 @t59)) % 208.06/208.30 (step @p97 :rule cong :premises (@p96) :args ((forall @t61 (= @t65 @t59)))) % 208.06/208.30 (step @p98 :rule bool-xor-elim :args (@t60 @t59)) % 208.06/208.30 (step @p99 :rule cong :premises (@p98) :args (@t62)) % 208.06/208.30 (step @p100 :rule trans :premises (@p99 @p97)) % 208.06/208.30 (step @p101 :rule trans :premises (@p100 @p95)) % 208.06/208.30 (step @p102 :rule eq_resolve :premises (@p25 @p101)) % 208.06/208.30 (step @p103 :rule eq-symm :args (@t118 @t120)) % 208.06/208.30 (step @p104 :rule refl :args (@t116)) % 208.06/208.30 (step @p105 :rule cong :premises (@p104 @p103) :args ((=> @t116 @t121))) % 208.06/208.30 (assume-push @p313 @t116) % 208.06/208.30 (step @p107 :rule instantiate :premises (@p102) :args ((@list @t117 @t94))) % 208.06/208.30 (step-pop @p314 :rule scope :premises (@p107)) % 208.06/208.30 (step @p108 :rule process_scope :premises (@p314) :args (@t121)) % 208.06/208.30 (step @p110 :rule eq_resolve :premises (@p108 @p105)) % 208.06/208.30 (step @p111 :rule implies_elim :premises (@p110)) % 208.06/208.30 (step @p112 :rule chain_m_resolution :premises (@p111 @p102) :args (@t122 @t123 @t124)) % 208.06/208.30 ; trust TRUST PREPROCESS_SORT_INFER % 208.06/208.30 (step @p113 :rule trust :premises () :args ((= (not (forall @t135 @t134)) (not @t91)))) % 208.06/208.30 (step @p114 :rule aci_norm :args ((= @t137 @t134))) % 208.06/208.30 (step @p115 :rule cong :premises (@p114) :args (@t138)) % 208.06/208.30 (step @p116 :rule quant-merge-prenex :args ((= (forall @t12 @t139) @t138))) % 208.06/208.30 (step @p117 :rule alpha_equiv :args (@t140 (@list @t128) (@list @t31))) % 208.06/208.30 (step @p118 :rule alpha_equiv :args (@t141 (@list @t125) (@list @t22))) % 208.06/208.30 (step @p119 :rule refl :args (@t131)) % 208.06/208.30 (step @p120 :rule alpha_equiv :args (@t142 (@list @t132) (@list @t7))) % 208.06/208.30 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118 @p117) :args (@t143)) % 208.06/208.30 (step @p122 :rule quant-miniscope-or :args ((= @t139 @t143))) % 208.06/208.30 (step @p123 :rule trans :premises (@p122 @p121)) % 208.06/208.30 (step @p124 :rule symm :premises (@p123)) % 208.06/208.30 (step @p125 :rule cong :premises (@p124) :args ((forall @t12 (or @t146 @t131 @t145 @t144)))) % 208.06/208.30 (step @p126 :rule trans :premises (@p125 @p116)) % 208.06/208.30 (step @p127 :rule trans :premises (@p126 @p115)) % 208.06/208.30 (step @p128 :rule bool-double-not-elim :args (@t144)) % 208.06/208.30 (step @p129 :rule bool-double-not-elim :args (@t145)) % 208.06/208.30 (step @p130 :rule bool-double-not-elim :args (@t146)) % 208.06/208.30 (step @p131 :rule nary_cong :premises (@p130 @p119 @p129 @p128) :args (@t153)) % 208.06/208.30 (step @p132 :rule aci_norm :args ((= (or @t152 (or @t131 (or @t150 @t148))) @t153))) % 208.06/208.30 (step @p133 :rule trans :premises (@p132 @p131)) % 208.06/208.30 (step @p134 :rule bool-and-de-morgan :args (@t149 @t147 true)) % 208.06/208.30 (step @p135 :rule nary_cong :premises (@p119 @p134) :args ((or @t131 (not (and @t149 @t147))))) % 208.06/208.30 (step @p136 :rule bool-and-de-morgan :args (@t130 @t149 (and @t147))) % 208.06/208.30 (step @p137 :rule trans :premises (@p136 @p135)) % 208.06/208.30 (step @p138 :rule refl :args (@t152)) % 208.06/208.30 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or @t152 (not (and @t130 @t149 @t147))))) % 208.06/208.30 (step @p140 :rule bool-and-de-morgan :args (@t151 @t130 (and @t149 @t147))) % 208.06/208.30 (step @p141 :rule trans :premises (@p140 @p139)) % 208.06/208.30 (step @p142 :rule trans :premises (@p141 @p133)) % 208.06/208.30 (step @p143 :rule cong :premises (@p142) :args (@t155)) % 208.06/208.30 (step @p144 :rule trans :premises (@p143 @p127)) % 208.06/208.30 (step @p145 :rule cong :premises (@p144) :args (@t156)) % 208.06/208.30 (step @p146 :rule exists-elim :args ((= (exists @t12 @t154) @t156))) % 208.06/208.30 (step @p147 :rule trans :premises (@p146 @p145)) % 208.06/208.30 (step @p148 :rule bool-double-not-elim :args (@t32)) % 208.06/208.30 (step @p149 :rule cong :premises (@p148) :args (@t157)) % 208.06/208.30 (step @p150 :rule cong :premises (@p149) :args (@t158)) % 208.06/208.30 (step @p151 :rule exists-elim :args ((= @t35 @t158))) % 208.06/208.30 (step @p152 :rule trans :premises (@p151 @p150)) % 208.06/208.30 (step @p153 :rule refl :args (@t36)) % 208.06/208.30 (step @p154 :rule bool-double-not-elim :args (@t23)) % 208.06/208.30 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or (not @t24) @t36))) % 208.06/208.30 (step @p156 :rule bool-and-de-morgan :args (@t24 @t25 true)) % 208.06/208.30 (step @p157 :rule trans :premises (@p156 @p155)) % 208.06/208.30 (step @p158 :rule cong :premises (@p157) :args (@t159)) % 208.06/208.30 (step @p159 :rule cong :premises (@p158) :args (@t160)) % 208.06/208.30 (step @p160 :rule exists-elim :args ((= @t67 @t160))) % 208.06/208.30 (step @p161 :rule trans :premises (@p160 @p159)) % 208.06/208.30 (step @p162 :rule bool-impl-elim :args (@t20 @t4)) % 208.06/208.30 (step @p163 :rule cong :premises (@p162) :args (@t28)) % 208.06/208.30 (step @p164 :rule exists-elim :args ((= @t10 @t151))) % 208.06/208.30 (step @p165 :rule nary_cong :premises (@p164 @p163 @p161 @p152) :args (@t68)) % 208.06/208.30 (step @p166 :rule cong :premises (@p165) :args (@t69)) % 208.06/208.30 (step @p167 :rule trans :premises (@p166 @p147)) % 208.06/208.30 (step @p168 :rule trans :premises (@p167 @p113)) % 208.06/208.30 (step @p169 :rule eq_resolve :premises (@p31 @p168)) % 208.06/208.30 (step @p170 :rule skolemize :premises (@p169)) % 208.06/208.30 (step @p171 :rule cnf_or_neg :args (@t167 3)) % 208.06/208.30 (step @p172 :rule chain_m_resolution :premises (@p171 @p170) :args (@t120 @t168 @t169)) % 208.06/208.30 (step @p173 :rule refl :args (@t118)) % 208.06/208.30 (step @p174 :rule bool-double-not-elim :args (@t119)) % 208.06/208.30 (step @p175 :rule refl :args (@t170)) % 208.06/208.30 (step @p176 :rule nary_cong :premises (@p175 @p174 @p173) :args ((or @t170 (not @t120) @t118))) % 208.06/208.30 (step @p177 :rule cnf_equiv_pos1 :args (@t122)) % 208.06/208.30 (step @p178 :rule eq_resolve :premises (@p177 @p176)) % 208.06/208.30 (step @p179 :rule reordering :premises (@p178) :args ((or @t119 @t118 @t170))) % 208.06/208.30 (step @p180 :rule chain_m_resolution :premises (@p179 @p172 @p112) :args (@t118 @t111 (@list @t119 @t122))) % 208.06/208.30 (step @p181 :rule eq-symm :args (@t171 @t162)) % 208.06/208.30 (step @p182 :rule cong :premises (@p104 @p181) :args ((=> @t116 @t172))) % 208.06/208.30 (assume-push @p315 @t116) % 208.06/208.30 (step @p184 :rule instantiate :premises (@p102) :args ((@list @t117 @t92))) % 208.06/208.30 (step-pop @p316 :rule scope :premises (@p184)) % 208.06/208.30 (step @p185 :rule process_scope :premises (@p316) :args (@t172)) % 208.06/208.30 (step @p187 :rule eq_resolve :premises (@p185 @p182)) % 208.06/208.30 (step @p188 :rule implies_elim :premises (@p187)) % 208.06/208.30 (step @p189 :rule chain_m_resolution :premises (@p188 @p102) :args (@t173 @t123 @t124)) % 208.06/208.30 (step @p190 :rule bool-double-not-elim :args (@t161)) % 208.06/208.30 (step @p191 :rule refl :args (@t167)) % 208.06/208.30 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or @t167 (not @t162)))) % 208.06/208.30 (step @p193 :rule cnf_or_neg :args (@t167 4)) % 208.06/208.30 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 208.06/208.30 (step @p195 :rule reordering :premises (@p194) :args ((or @t161 @t167))) % 208.06/208.30 (step @p196 :rule chain_m_resolution :premises (@p195 @p170) :args (@t161 @t168 @t169)) % 208.06/208.30 (step @p197 :rule cnf_equiv_pos2 :args (@t173)) % 208.06/208.30 (step @p198 :rule reordering :premises (@p197) :args ((or @t162 @t174 (not @t173)))) % 208.06/208.30 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p189) :args (@t174 @t175 (@list @t161 @t173))) % 208.06/208.30 (step @p200 :rule cnf_or_pos :args (@t177)) % 208.06/208.30 (step @p201 :rule reordering :premises (@p200) :args ((or @t171 @t176 @t178))) % 208.06/208.30 (step @p202 :rule chain_m_resolution :premises (@p201 @p199 @p180) :args (@t178 @t111 (@list @t171 @t118))) % 208.06/208.30 (assume-push @p317 @t179) % 208.06/208.30 (step @p204 :rule instantiate :premises (@p317) :args (@t180)) % 208.06/208.30 (step-pop @p318 :rule scope :premises (@p204)) % 208.06/208.30 (step @p205 :rule process_scope :premises (@p318) :args (@t177)) % 208.06/208.30 (step @p207 :rule implies_elim :premises (@p205)) % 208.06/208.30 (step @p208 :rule chain_m_resolution :premises (@p207 @p202) :args ((not @t179) @t168 (@list @t177))) % 208.06/208.30 (step @p209 :rule cnf_equiv_pos1 :args (@t182)) % 208.06/208.30 (step @p210 :rule reordering :premises (@p209) :args ((or @t179 @t183 (not @t182)))) % 208.06/208.30 (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p94) :args (@t183 @t111 (@list @t179 @t182))) % 208.06/208.30 (step @p212 :rule cnf_or_pos :args (@t186)) % 208.06/208.30 (step @p213 :rule reordering :premises (@p212) :args ((or @t181 @t185 (not @t186)))) % 208.06/208.30 (step @p214 :rule chain_m_resolution :premises (@p213 @p211 @p83) :args (@t185 @t111 (@list @t181 @t186))) % 208.06/208.30 (step @p215 :rule cnf_equiv_pos2 :args (@t193)) % 208.06/208.30 (step @p216 :rule reordering :premises (@p215) :args ((or @t184 @t194 (not @t193)))) % 208.06/208.30 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p54) :args (@t194 @t111 (@list @t184 @t193))) % 208.06/208.30 (step @p218 :rule eq-symm :args (@t195 @t174)) % 208.06/208.30 (step @p219 :rule cong :premises (@p104 @p218) :args ((=> @t116 @t196))) % 208.06/208.30 (assume-push @p319 @t116) % 208.06/208.30 (step @p221 :rule instantiate :premises (@p102) :args ((@list @t117 @t93))) % 208.06/208.30 (step-pop @p320 :rule scope :premises (@p221)) % 208.06/208.30 (step @p222 :rule process_scope :premises (@p320) :args (@t196)) % 208.06/208.30 (step @p224 :rule eq_resolve :premises (@p222 @p219)) % 208.06/208.30 (step @p225 :rule implies_elim :premises (@p224)) % 208.06/208.30 (step @p226 :rule chain_m_resolution :premises (@p225 @p102) :args (@t197 @t123 @t124)) % 208.06/208.30 (step @p227 :rule refl :args (@t195)) % 208.06/208.30 (step @p228 :rule bool-double-not-elim :args (@t171)) % 208.06/208.30 (step @p229 :rule refl :args (@t198)) % 208.06/208.30 (step @p230 :rule nary_cong :premises (@p229 @p228 @p227) :args ((or @t198 (not @t174) @t195))) % 208.06/208.30 (step @p231 :rule cnf_equiv_pos1 :args (@t197)) % 208.06/208.30 (step @p232 :rule eq_resolve :premises (@p231 @p230)) % 208.06/208.30 (step @p233 :rule reordering :premises (@p232) :args ((or @t171 @t195 @t198))) % 208.06/208.30 (step @p234 :rule chain_m_resolution :premises (@p233 @p199 @p226) :args (@t195 @t111 (@list @t171 @t197))) % 208.06/208.30 (step @p235 :rule cnf_or_pos :args (@t200)) % 208.06/208.30 (step @p236 :rule reordering :premises (@p235) :args ((or @t176 @t199 @t201))) % 208.06/208.30 (step @p237 :rule chain_m_resolution :premises (@p236 @p180 @p234) :args (@t201 @t175 (@list @t118 @t195))) % 208.06/208.30 (assume-push @p321 @t203) % 208.06/208.30 (step @p239 :rule instantiate :premises (@p321) :args (@t180)) % 208.06/208.30 (step-pop @p322 :rule scope :premises (@p239)) % 208.06/208.30 (step @p240 :rule process_scope :premises (@p322) :args (@t200)) % 208.06/208.30 (step @p242 :rule implies_elim :premises (@p240)) % 208.06/208.30 (step @p243 :rule chain_m_resolution :premises (@p242 @p237) :args ((not @t203) @t168 (@list @t200))) % 208.06/208.30 (step @p244 :rule alpha_equiv :args (@t203 (@list @t202) (@list @t72))) % 208.06/208.30 (step @p245 :rule equiv_elim2 :premises (@p244)) % 208.06/208.30 (step @p246 :rule chain_m_resolution :premises (@p245 @p243) :args (@t189 @t168 (@list @t203))) % 208.06/208.30 (step @p247 :rule bool-double-not-elim :args (@t188)) % 208.06/208.30 (step @p248 :rule bool-double-not-elim :args (@t190)) % 208.06/208.30 (step @p249 :rule refl :args (@t192)) % 208.06/208.30 (step @p250 :rule nary_cong :premises (@p249 @p248 @p247) :args ((or @t192 (not @t191) (not @t189)))) % 208.06/208.30 (step @p251 :rule cnf_and_neg :args (@t192)) % 208.06/208.30 (step @p252 :rule eq_resolve :premises (@p251 @p250)) % 208.06/208.30 (step @p253 :rule reordering :premises (@p252) :args ((or @t190 @t188 @t192))) % 208.06/208.30 (step @p254 :rule chain_m_resolution :premises (@p253 @p246 @p217) :args (@t190 (@list true true) (@list @t188 @t192))) % 208.06/208.30 (step @p255 :rule alpha_equiv :args (@t205 (@list @t204) (@list @t75))) % 208.06/208.30 (step @p256 :rule equiv_elim2 :premises (@p255)) % 208.06/208.30 (step @p257 :rule chain_m_resolution :premises (@p256 @p254) :args (@t205 @t123 (@list @t190))) % 208.06/208.30 (step @p258 :rule eq-symm :args (@t206 @t208)) % 208.06/208.30 (step @p259 :rule cong :premises (@p104 @p258) :args ((=> @t116 @t209))) % 208.06/208.30 (assume-push @p323 @t116) % 208.06/208.30 (step @p261 :rule instantiate :premises (@p102) :args ((@list @t163 @t94))) % 208.06/208.30 (step-pop @p324 :rule scope :premises (@p261)) % 208.06/208.30 (step @p262 :rule process_scope :premises (@p324) :args (@t209)) % 208.06/208.30 (step @p264 :rule eq_resolve :premises (@p262 @p259)) % 208.06/208.30 (step @p265 :rule implies_elim :premises (@p264)) % 208.06/208.30 (step @p266 :rule chain_m_resolution :premises (@p265 @p102) :args (@t210 @t123 @t124)) % 208.06/208.30 (step @p267 :rule bool-double-not-elim :args (@t165)) % 208.06/208.30 (step @p268 :rule nary_cong :premises (@p191 @p267) :args ((or @t167 (not @t166)))) % 208.06/208.30 (step @p269 :rule cnf_or_neg :args (@t167 1)) % 208.06/208.30 (step @p270 :rule eq_resolve :premises (@p269 @p268)) % 208.06/208.30 (step @p271 :rule reordering :premises (@p270) :args ((or @t165 @t167))) % 208.06/208.30 (step @p272 :rule chain_m_resolution :premises (@p271 @p170) :args (@t165 @t168 @t169)) % 208.06/208.30 (step @p273 :rule instantiate :premises (@p272) :args (@t211)) % 208.06/208.30 (step @p274 :rule cnf_or_neg :args (@t167 2)) % 208.06/208.31 (step @p275 :rule chain_m_resolution :premises (@p274 @p170) :args (@t212 @t168 @t169)) % 208.06/208.31 (step @p276 :rule cnf_or_pos :args (@t213)) % 208.06/208.31 (step @p277 :rule reordering :premises (@p276) :args ((or @t164 @t208 (not @t213)))) % 208.06/208.31 (step @p278 :rule chain_m_resolution :premises (@p277 @p275 @p273) :args (@t208 @t111 (@list @t164 @t213))) % 208.06/208.31 (step @p279 :rule refl :args (@t206)) % 208.06/208.31 (step @p280 :rule bool-double-not-elim :args (@t207)) % 208.06/208.31 (step @p281 :rule refl :args (@t214)) % 208.06/208.31 (step @p282 :rule nary_cong :premises (@p281 @p280 @p279) :args ((or @t214 (not @t208) @t206))) % 208.06/208.31 (step @p283 :rule cnf_equiv_pos1 :args (@t210)) % 208.06/208.31 (step @p284 :rule eq_resolve :premises (@p283 @p282)) % 208.06/208.31 (step @p285 :rule reordering :premises (@p284) :args ((or @t207 @t206 @t214))) % 208.06/208.31 (step @p286 :rule chain_m_resolution :premises (@p285 @p278 @p266) :args (@t206 @t111 (@list @t207 @t210))) % 208.06/208.31 (step @p287 :rule eq-symm :args (@t215 @t212)) % 208.06/208.31 (step @p288 :rule cong :premises (@p104 @p287) :args ((=> @t116 @t216))) % 208.06/208.31 (assume-push @p325 @t116) % 208.06/208.31 (step @p290 :rule instantiate :premises (@p102) :args ((@list @t163 @t92))) % 208.06/208.31 (step-pop @p326 :rule scope :premises (@p290)) % 208.06/208.31 (step @p291 :rule process_scope :premises (@p326) :args (@t216)) % 208.06/208.31 (step @p293 :rule eq_resolve :premises (@p291 @p288)) % 208.06/208.31 (step @p294 :rule implies_elim :premises (@p293)) % 208.06/208.31 (step @p295 :rule chain_m_resolution :premises (@p294 @p102) :args (@t217 @t123 @t124)) % 208.06/208.31 (step @p296 :rule refl :args (@t215)) % 208.06/208.31 (step @p297 :rule bool-double-not-elim :args (@t164)) % 208.06/208.31 (step @p298 :rule refl :args (@t218)) % 208.06/208.31 (step @p299 :rule nary_cong :premises (@p298 @p297 @p296) :args ((or @t218 (not @t212) @t215))) % 208.06/208.31 (step @p300 :rule cnf_equiv_pos1 :args (@t217)) % 208.06/208.31 (step @p301 :rule eq_resolve :premises (@p300 @p299)) % 208.06/208.31 (step @p302 :rule reordering :premises (@p301) :args ((or @t164 @t215 @t218))) % 208.06/208.31 (step @p303 :rule chain_m_resolution :premises (@p302 @p275 @p295) :args (@t215 @t111 (@list @t164 @t217))) % 208.06/208.31 (step @p304 :rule cnf_or_pos :args (@t221)) % 208.06/208.31 (step @p305 :rule reordering :premises (@p304) :args ((or @t219 @t220 @t222))) % 208.06/208.31 (step @p306 :rule chain_m_resolution :premises (@p305 @p303 @p286) :args (@t222 @t175 (@list @t215 @t206))) % 208.06/208.31 (assume-push @p327 @t205) % 208.06/208.31 (step @p308 :rule instantiate :premises (@p327) :args (@t211)) % 208.06/208.31 (step-pop @p328 :rule scope :premises (@p308)) % 208.06/208.31 (step @p309 :rule process_scope :premises (@p328) :args (@t221)) % 208.06/208.31 (step @p311 :rule implies_elim :premises (@p309)) % 208.06/208.31 (step @p312 false :rule chain_m_resolution :premises (@p311 @p306 @p257) :args (false @t111 (@list @t221 @t205))) % 208.06/208.31 ) % 208.06/208.31 % SZS output end Proof % 208.06/208.31 % cvc5 exiting %------------------------------------------------------------------------------