%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS264+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 : n011.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 08:29:11 AM UTC 2026 % Result : Theorem 207.82s 208.07s % Output : Proof 207.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS264+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:37:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 207.82/208.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 207.82/208.07 --- Run --no-e-matching --full-saturate-quant at 6... % 207.82/208.07 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 207.82/208.07 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 207.82/208.07 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 207.82/208.07 --- Run --trigger-sel=max --full-saturate-quant at 15... % 207.82/208.07 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 207.82/208.07 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 207.82/208.07 --- Run --prenex-quant=none --full-saturate-quant at 30... % 207.82/208.07 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 207.82/208.07 --- Run --relevant-triggers --full-saturate-quant at 30... % 207.82/208.07 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 207.82/208.07 % SZS status Theorem % 207.82/208.07 % SZS output start Proof % 207.82/208.07 ( % 207.82/208.07 (declare-sort $$unsorted 0) % 207.82/208.07 (declare-const tptp.xora (-> $$unsorted $$unsorted Bool)) % 207.82/208.07 (declare-const tptp.nevera (-> $$unsorted $$unsorted Bool)) % 207.82/208.07 (declare-const tptp.nota (-> $$unsorted $$unsorted Bool)) % 207.82/208.07 (declare-const tptp.mighta (-> $$unsorted $$unsorted Bool)) % 207.82/208.07 (declare-const tptp.noc $$unsorted) % 207.82/208.07 (declare-const tptp.uns $$unsorted) % 207.82/208.07 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 207.82/208.07 (declare-const tptp.tca $$unsorted) % 207.82/208.07 (declare-const tptp.sca $$unsorted) % 207.82/208.07 (declare-const tptp.wth $$unsorted) % 207.82/208.07 (declare-const tptp.unp $$unsorted) % 207.82/208.07 (declare-const tptp.wca $$unsorted) % 207.82/208.07 (declare-const tptp.wec $$unsorted) % 207.82/208.07 (declare-const tptp.sap $$unsorted) % 207.82/208.07 (declare-const tptp.wtc $$unsorted) % 207.82/208.07 (declare-const tptp.model (-> $$unsorted $$unsorted Bool)) % 207.82/208.07 (declare-const tptp.sat $$unsorted) % 207.82/208.07 (declare-const tptp.cax $$unsorted) % 207.82/208.07 (declare-const tptp.eqv $$unsorted) % 207.82/208.07 (declare-const tptp.esa $$unsorted) % 207.82/208.07 (declare-const tptp.csa $$unsorted) % 207.82/208.07 (declare-const tptp.status (-> $$unsorted $$unsorted $$unsorted Bool)) % 207.82/208.07 (declare-const tptp.thm $$unsorted) % 207.82/208.07 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 207.82/208.07 (declare-const tptp.eth $$unsorted) % 207.82/208.07 (declare-const tptp.tac $$unsorted) % 207.82/208.07 (declare-const tptp.tau $$unsorted) % 207.82/208.07 (define @t1 () (@var "C" $$unsorted)) % 207.82/208.07 (define @t2 () (@var "Ax" $$unsorted)) % 207.82/208.07 (define @t3 () (@var "I2" $$unsorted)) % 207.82/208.07 (define @t4 () (tptp.model @t3 @t1)) % 207.82/208.07 (define @t5 () (@list @t3)) % 207.82/208.07 (define @t6 () (exists @t5 @t4)) % 207.82/208.07 (define @t7 () (@var "I1" $$unsorted)) % 207.82/208.07 (define @t8 () (tptp.model @t7 @t2)) % 207.82/208.07 (define @t9 () (@list @t7)) % 207.82/208.07 (define @t10 () (exists @t9 @t8)) % 207.82/208.07 (define @t11 () (not @t10)) % 207.82/208.07 (define @t12 () (@list @t2 @t1)) % 207.82/208.07 (define @t13 () (tptp.model @t7 @t1)) % 207.82/208.07 (define @t14 () (and @t8 @t13)) % 207.82/208.07 (define @t15 () (exists @t9 @t14)) % 207.82/208.07 (define @t16 () (tptp.status @t2 @t1 tptp.thm)) % 207.82/208.07 (define @t17 () (forall @t9 (=> @t8 @t13))) % 207.82/208.07 (define @t18 () (= @t17 @t16)) % 207.82/208.07 (define @t19 () (forall @t12 @t18)) % 207.82/208.07 (define @t20 () (tptp.model @t3 @t2)) % 207.82/208.07 (define @t21 () (forall @t5 @t4)) % 207.82/208.07 (define @t22 () (@var "I3" $$unsorted)) % 207.82/208.07 (define @t23 () (tptp.model @t22 @t2)) % 207.82/208.07 (define @t24 () (not @t23)) % 207.82/208.07 (define @t25 () (tptp.model @t22 @t1)) % 207.82/208.07 (define @t26 () (and @t25 @t24)) % 207.82/208.07 (define @t27 () (@list @t22)) % 207.82/208.07 (define @t28 () (exists @t27 @t26)) % 207.82/208.07 (define @t29 () (forall @t5 (=> @t20 @t4))) % 207.82/208.07 (define @t30 () (not @t20)) % 207.82/208.07 (define @t31 () (exists @t5 @t30)) % 207.82/208.07 (define @t32 () (tptp.status @t2 @t1 tptp.wth)) % 207.82/208.07 (define @t33 () (@var "I4" $$unsorted)) % 207.82/208.07 (define @t34 () (tptp.model @t33 @t1)) % 207.82/208.07 (define @t35 () (not @t34)) % 207.82/208.07 (define @t36 () (@list @t33)) % 207.82/208.07 (define @t37 () (exists @t36 @t35)) % 207.82/208.07 (define @t38 () (and @t10 @t29 @t28 @t37)) % 207.82/208.07 (define @t39 () (= @t38 @t32)) % 207.82/208.07 (define @t40 () (forall @t12 @t39)) % 207.82/208.07 (define @t41 () (not @t25)) % 207.82/208.07 (define @t42 () (tptp.not @t1)) % 207.82/208.07 (define @t43 () (tptp.model @t3 @t42)) % 207.82/208.07 (define @t44 () (@var "S2" $$unsorted)) % 207.82/208.07 (define @t45 () (@var "S1" $$unsorted)) % 207.82/208.07 (define @t46 () (tptp.mighta @t45 @t44)) % 207.82/208.07 (define @t47 () (tptp.status @t2 @t1 @t44)) % 207.82/208.07 (define @t48 () (tptp.status @t2 @t1 @t45)) % 207.82/208.07 (define @t49 () (and @t48 @t47)) % 207.82/208.07 (define @t50 () (exists @t12 @t49)) % 207.82/208.07 (define @t51 () (= @t50 @t46)) % 207.82/208.07 (define @t52 () (@list @t45 @t44)) % 207.82/208.07 (define @t53 () (forall @t52 @t51)) % 207.82/208.07 (define @t54 () (not @t47)) % 207.82/208.07 (define @t55 () (@var "F" $$unsorted)) % 207.82/208.07 (define @t56 () (tptp.not @t55)) % 207.82/208.07 (define @t57 () (@var "I" $$unsorted)) % 207.82/208.07 (define @t58 () (tptp.model @t57 @t56)) % 207.82/208.07 (define @t59 () (tptp.model @t57 @t55)) % 207.82/208.07 (define @t60 () (@list @t57 @t55)) % 207.82/208.07 (define @t61 () (forall @t60 (xor @t59 @t58))) % 207.82/208.07 (define @t62 () (@list @t57)) % 207.82/208.07 (define @t63 () (@list @t55)) % 207.82/208.07 (define @t64 () (not @t59)) % 207.82/208.07 (define @t65 () (and @t24 @t25)) % 207.82/208.07 (define @t66 () (exists @t27 @t65)) % 207.82/208.07 (define @t67 () (and @t10 @t29 @t66 @t37)) % 207.82/208.07 (define @t68 () (exists @t12 @t67)) % 207.82/208.07 (define @t69 () (not (tptp.mighta tptp.wth tptp.thm))) % 207.82/208.07 (define @t70 () (@var "b_I" it_8_$$unsorted)) % 207.82/208.07 (define @t71 () (@const 0 (-> it_8_$$unsorted $$unsorted Bool))) % 207.82/208.07 (define @t72 () (forall (@list @t70 @t55) (= (_ @t71 @t70 @t56) (not (_ @t71 @t70 @t55))))) % 207.82/208.07 (define @t73 () (@var "b_BOUND_VARIABLE_7929" it_8_$$unsorted)) % 207.82/208.07 (define @t74 () (@var "b_BOUND_VARIABLE_7935" it_8_$$unsorted)) % 207.82/208.07 (define @t75 () (@var "b_I2" it_8_$$unsorted)) % 207.82/208.07 (define @t76 () (@list @t75)) % 207.82/208.07 (define @t77 () (@var "b_BOUND_VARIABLE_7925" it_8_$$unsorted)) % 207.82/208.07 (define @t78 () (forall (@list @t2 @t1 @t77 @t73 @t74) (or (not (_ @t71 @t77 @t2)) (not (forall @t76 (or (not (_ @t71 @t75 @t2)) (_ @t71 @t75 @t1)))) (_ @t71 @t74 @t1) (_ @t71 @t73 @t2) (not (_ @t71 @t73 @t1))))) % 207.82/208.07 (define @t79 () (@var "BOUND_VARIABLE_7929" $$unsorted)) % 207.82/208.07 (define @t80 () (not (tptp.model @t79 @t1))) % 207.82/208.07 (define @t81 () (tptp.model @t79 @t2)) % 207.82/208.07 (define @t82 () (@var "BOUND_VARIABLE_7935" $$unsorted)) % 207.82/208.07 (define @t83 () (tptp.model @t82 @t1)) % 207.82/208.07 (define @t84 () (forall @t5 (or @t30 @t4))) % 207.82/208.07 (define @t85 () (not @t84)) % 207.82/208.07 (define @t86 () (@var "BOUND_VARIABLE_7925" $$unsorted)) % 207.82/208.07 (define @t87 () (not (tptp.model @t86 @t2))) % 207.82/208.07 (define @t88 () (or @t87 @t85 @t83 @t81 @t80)) % 207.82/208.07 (define @t89 () (@list @t2 @t1 @t86 @t79 @t82)) % 207.82/208.07 (define @t90 () (or @t81 @t80)) % 207.82/208.07 (define @t91 () (or @t87 @t85 @t90 @t83)) % 207.82/208.07 (define @t92 () (forall @t89 @t91)) % 207.82/208.07 (define @t93 () (forall (@list @t86 @t79 @t82) @t91)) % 207.82/208.07 (define @t94 () (forall (@list @t82) @t83)) % 207.82/208.07 (define @t95 () (forall (@list @t79) @t90)) % 207.82/208.07 (define @t96 () (forall (@list @t86) @t87)) % 207.82/208.07 (define @t97 () (or @t96 @t85 @t95 @t94)) % 207.82/208.07 (define @t98 () (forall @t36 @t34)) % 207.82/208.07 (define @t99 () (forall @t27 (or @t23 @t41))) % 207.82/208.07 (define @t100 () (not @t8)) % 207.82/208.07 (define @t101 () (forall @t9 @t100)) % 207.82/208.07 (define @t102 () (not @t98)) % 207.82/208.07 (define @t103 () (not @t102)) % 207.82/208.07 (define @t104 () (not @t99)) % 207.82/208.07 (define @t105 () (not @t104)) % 207.82/208.07 (define @t106 () (not @t101)) % 207.82/208.07 (define @t107 () (not @t106)) % 207.82/208.07 (define @t108 () (or @t107 @t85 @t105 @t103)) % 207.82/208.07 (define @t109 () (and @t106 @t84 @t104 @t102)) % 207.82/208.07 (define @t110 () (forall @t12 (not @t109))) % 207.82/208.07 (define @t111 () (not @t110)) % 207.82/208.07 (define @t112 () (forall @t36 (not @t35))) % 207.82/208.07 (define @t113 () (not @t112)) % 207.82/208.07 (define @t114 () (not @t24)) % 207.82/208.07 (define @t115 () (forall @t27 (not @t65))) % 207.82/208.07 (define @t116 () (not @t115)) % 207.82/208.07 (define @t117 () (@quantifiers_skolemize @t78 1)) % 207.82/208.07 (define @t118 () (@quantifiers_skolemize @t78 0)) % 207.82/208.07 (define @t119 () (forall @t76 (or (not (_ @t71 @t75 @t118)) (_ @t71 @t75 @t117)))) % 207.82/208.07 (define @t120 () (@quantifiers_skolemize @t78 3)) % 207.82/208.07 (define @t121 () (_ @t71 @t120 @t117)) % 207.82/208.07 (define @t122 () (not @t121)) % 207.82/208.07 (define @t123 () (_ @t71 @t120 @t118)) % 207.82/208.07 (define @t124 () (@quantifiers_skolemize @t78 4)) % 207.82/208.07 (define @t125 () (_ @t71 @t124 @t117)) % 207.82/208.07 (define @t126 () (not @t119)) % 207.82/208.07 (define @t127 () (@quantifiers_skolemize @t78 2)) % 207.82/208.07 (define @t128 () (_ @t71 @t127 @t118)) % 207.82/208.07 (define @t129 () (not @t128)) % 207.82/208.07 (define @t130 () (or @t129 @t126 @t125 @t123 @t122)) % 207.82/208.07 (define @t131 () (@list true)) % 207.82/208.07 (define @t132 () (@list @t130)) % 207.82/208.07 (define @t133 () (tptp.not @t118)) % 207.82/208.07 (define @t134 () (@var "b_I1" it_8_$$unsorted)) % 207.82/208.07 (define @t135 () (_ @t71 @t134 @t133)) % 207.82/208.07 (define @t136 () (tptp.not @t117)) % 207.82/208.07 (define @t137 () (_ @t71 @t134 @t136)) % 207.82/208.07 (define @t138 () (@list @t134)) % 207.82/208.07 (define @t139 () (forall @t138 (or (not @t137) @t135))) % 207.82/208.07 (define @t140 () (@quantifiers_skolemize @t139 0)) % 207.82/208.07 (define @t141 () (@const 1 it_7_$$unsorted)) % 207.82/208.07 (define @t142 () (@const 2 (-> $$unsorted $$unsorted it_7_$$unsorted Bool))) % 207.82/208.07 (define @t143 () (_ @t142 @t2 @t1 @t141)) % 207.82/208.07 (define @t144 () (forall @t9 (or @t100 @t13))) % 207.82/208.07 (define @t145 () (@list @t136 @t133)) % 207.82/208.07 (define @t146 () (_ @t142 @t136 @t133 @t141)) % 207.82/208.07 (define @t147 () (= @t146 @t139)) % 207.82/208.07 (define @t148 () (not @t147)) % 207.82/208.07 (define @t149 () (not @t146)) % 207.82/208.07 (define @t150 () (@var "b_S2" it_7_$$unsorted)) % 207.82/208.07 (define @t151 () (@var "b_S1" it_7_$$unsorted)) % 207.82/208.07 (define @t152 () (@const 3 (-> it_7_$$unsorted it_7_$$unsorted Bool))) % 207.82/208.07 (define @t153 () (not (forall @t12 (or (not @t48) @t54)))) % 207.82/208.07 (define @t154 () (forall @t12 (not @t49))) % 207.82/208.07 (define @t155 () (not @t154)) % 207.82/208.07 (define @t156 () (@const 4 it_7_$$unsorted)) % 207.82/208.07 (define @t157 () (_ @t152 @t156 @t141)) % 207.82/208.07 (define @t158 () (_ @t142 @t2 @t1 @t156)) % 207.82/208.07 (define @t159 () (forall @t12 (or (not @t158) (not @t143)))) % 207.82/208.07 (define @t160 () (not @t159)) % 207.82/208.07 (define @t161 () (= @t157 @t160)) % 207.82/208.07 (define @t162 () (not @t161)) % 207.82/208.07 (define @t163 () (@list true false)) % 207.82/208.07 (define @t164 () (_ @t142 @t136 @t133 @t156)) % 207.82/208.07 (define @t165 () (not @t164)) % 207.82/208.07 (define @t166 () (or @t165 @t149)) % 207.82/208.07 (define @t167 () (@list @t134)) % 207.82/208.07 (define @t168 () (@var "b_I2" it_8_$$unsorted)) % 207.82/208.07 (define @t169 () (not @t139)) % 207.82/208.07 (define @t170 () (@list @t168)) % 207.82/208.07 (define @t171 () (forall @t170 (or (not (_ @t71 @t168 @t136)) (_ @t71 @t168 @t133)))) % 207.82/208.07 (define @t172 () (@var "b_I4" it_8_$$unsorted)) % 207.82/208.07 (define @t173 () (@list @t172)) % 207.82/208.07 (define @t174 () (@var "b_I3" it_8_$$unsorted)) % 207.82/208.07 (define @t175 () (@list @t174)) % 207.82/208.07 (define @t176 () (@var "b_I1" it_8_$$unsorted)) % 207.82/208.07 (define @t177 () (@list @t176)) % 207.82/208.07 (define @t178 () (and @t106 @t84 (not (forall @t27 (or @t41 @t23))) @t102)) % 207.82/208.07 (define @t179 () (forall @t27 (not @t26))) % 207.82/208.07 (define @t180 () (not @t179)) % 207.82/208.07 (define @t181 () (forall @t173 (_ @t71 @t172 @t133))) % 207.82/208.07 (define @t182 () (not @t181)) % 207.82/208.07 (define @t183 () (forall @t175 (or (not (_ @t71 @t174 @t133)) (_ @t71 @t174 @t136)))) % 207.82/208.07 (define @t184 () (not @t183)) % 207.82/208.07 (define @t185 () (forall @t177 (not (_ @t71 @t176 @t136)))) % 207.82/208.07 (define @t186 () (not @t185)) % 207.82/208.07 (define @t187 () (and @t186 @t171 @t184 @t182)) % 207.82/208.07 (define @t188 () (= @t164 @t187)) % 207.82/208.07 (define @t189 () (_ @t71 @t127 @t133)) % 207.82/208.07 (define @t190 () (= @t189 @t129)) % 207.82/208.07 (define @t191 () (= @t129 @t189)) % 207.82/208.07 (define @t192 () (@list false)) % 207.82/208.07 (define @t193 () (@list @t72)) % 207.82/208.07 (define @t194 () (not @t189)) % 207.82/208.07 (define @t195 () (@list false false)) % 207.82/208.07 (define @t196 () (@var "b_I2" it_8_$$unsorted)) % 207.82/208.07 (define @t197 () (forall (@list @t196) (_ @t71 @t196 @t133))) % 207.82/208.07 (define @t198 () (not @t197)) % 207.82/208.07 (define @t199 () (_ @t71 @t124 @t136)) % 207.82/208.07 (define @t200 () (not @t125)) % 207.82/208.07 (define @t201 () (= @t199 @t200)) % 207.82/208.07 (define @t202 () (= @t200 @t199)) % 207.82/208.07 (define @t203 () (not @t202)) % 207.82/208.07 (define @t204 () (@var "b_I2" it_8_$$unsorted)) % 207.82/208.07 (define @t205 () (forall (@list @t204) (not (_ @t71 @t204 @t136)))) % 207.82/208.07 (define @t206 () (not @t199)) % 207.82/208.07 (define @t207 () (not @t205)) % 207.82/208.07 (define @t208 () (_ @t71 @t120 @t133)) % 207.82/208.07 (define @t209 () (not @t123)) % 207.82/208.07 (define @t210 () (= @t208 @t209)) % 207.82/208.07 (define @t211 () (= @t209 @t208)) % 207.82/208.07 (define @t212 () (not @t211)) % 207.82/208.07 (define @t213 () (_ @t71 @t120 @t136)) % 207.82/208.07 (define @t214 () (= @t213 @t122)) % 207.82/208.07 (define @t215 () (= @t122 @t213)) % 207.82/208.07 (define @t216 () (not @t213)) % 207.82/208.07 (define @t217 () (not @t208)) % 207.82/208.07 (define @t218 () (or @t217 @t213)) % 207.82/208.07 (define @t219 () (not @t218)) % 207.82/208.07 (define @t220 () (forall @t138 (or (not @t135) @t137))) % 207.82/208.07 (define @t221 () (not @t171)) % 207.82/208.07 (define @t222 () (_ @t71 @t140 @t133)) % 207.82/208.07 (define @t223 () (_ @t71 @t140 @t136)) % 207.82/208.07 (define @t224 () (not @t223)) % 207.82/208.07 (define @t225 () (or @t224 @t222)) % 207.82/208.07 (define @t226 () (not @t225)) % 207.82/208.07 (define @t227 () (@list @t225)) % 207.82/208.07 (define @t228 () (_ @t71 @t140 @t117)) % 207.82/208.07 (define @t229 () (not @t228)) % 207.82/208.07 (define @t230 () (= @t223 @t229)) % 207.82/208.07 (define @t231 () (_ @t71 @t140 @t118)) % 207.82/208.07 (define @t232 () (not @t231)) % 207.82/208.07 (define @t233 () (or @t232 @t228)) % 207.82/208.07 (define @t234 () (= @t222 @t232)) % 207.82/208.07 (define @t235 () (not @t234)) % 207.82/208.07 (assume @p1 (forall @t12 (= (=> @t11 (not @t6)) (tptp.status @t2 @t1 tptp.unp)))) % 207.82/208.07 (assume @p2 (forall @t12 (= (=> @t10 @t6) (tptp.status @t2 @t1 tptp.sap)))) % 207.82/208.07 (assume @p3 (forall @t12 (= (= @t10 @t6) (tptp.status @t2 @t1 tptp.esa)))) % 207.82/208.07 (assume @p4 (forall @t12 (= @t15 (tptp.status @t2 @t1 tptp.sat)))) % 207.82/208.07 (assume @p5 @t19) % 207.82/208.07 (assume @p6 (forall @t12 (= (and @t10 (forall @t5 (= @t20 @t4))) (tptp.status @t2 @t1 tptp.eqv)))) % 207.82/208.07 (assume @p7 (forall @t12 (= (and @t10 @t21) (tptp.status @t2 @t1 tptp.tac)))) % 207.82/208.07 (assume @p8 (forall @t12 (= (and @t10 @t29 @t28) (tptp.status @t2 @t1 tptp.wec)))) % 207.82/208.07 (assume @p9 (forall @t12 (= (and @t10 @t31 (forall @t27 (= @t23 @t25))) (tptp.status @t2 @t1 tptp.eth)))) % 207.82/208.07 (assume @p10 (forall @t12 (= (forall @t9 @t14) (tptp.status @t2 @t1 tptp.tau)))) % 207.82/208.07 (assume @p11 (forall @t12 (= (and @t10 @t31 (forall @t27 @t25)) (tptp.status @t2 @t1 tptp.wtc)))) % 207.82/208.07 (assume @p12 @t40) % 207.82/208.07 (assume @p13 (forall @t12 (= @t11 (tptp.status @t2 @t1 tptp.cax)))) % 207.82/208.07 (assume @p14 (forall @t12 (= (and @t11 @t6) (tptp.status @t2 @t1 tptp.sca)))) % 207.82/208.07 (assume @p15 (forall @t12 (= (and @t11 @t21) (tptp.status @t2 @t1 tptp.tca)))) % 207.82/208.07 (assume @p16 (forall @t12 (= (and @t11 @t6 (exists @t27 @t41)) (tptp.status @t2 @t1 tptp.wca)))) % 207.82/208.07 (assume @p17 (forall @t12 (= (exists @t9 (and @t8 (tptp.model @t7 @t42))) (tptp.status @t2 @t1 tptp.csa)))) % 207.82/208.07 (assume @p18 (forall @t12 (= (and (forall @t9 @t8) (forall @t5 @t43)) (tptp.status @t2 @t1 tptp.uns)))) % 207.82/208.07 (assume @p19 (forall @t12 (= (and @t15 (exists @t5 (and @t20 @t43))) (tptp.status @t2 @t1 tptp.noc)))) % 207.82/208.07 (assume @p20 @t53) % 207.82/208.07 (assume @p21 (forall @t52 (= (forall @t12 (=> @t48 @t47)) (tptp.isa @t45 @t44)))) % 207.82/208.07 (assume @p22 (forall @t52 (= (exists @t12 (and @t48 @t54)) (tptp.nota @t45 @t44)))) % 207.82/208.07 (assume @p23 (forall @t52 (= (forall @t12 (=> @t48 @t54)) (tptp.nevera @t45 @t44)))) % 207.82/208.07 (assume @p24 (forall @t52 (= (forall @t12 (xor @t48 @t47)) (tptp.xora @t45 @t44)))) % 207.82/208.07 (assume @p25 @t61) % 207.82/208.07 (assume @p26 (forall @t60 (= @t59 (not @t58)))) % 207.82/208.07 (assume @p27 (exists @t63 (forall @t62 @t59))) % 207.82/208.07 (assume @p28 (exists @t63 (and (exists @t9 (tptp.model @t7 @t55)) (exists @t5 (not (tptp.model @t3 @t55)))))) % 207.82/208.07 (assume @p29 (exists @t63 (forall @t62 @t64))) % 207.82/208.07 (assume @p30 (exists @t12 (and @t15 (exists @t5 (or @t30 (not @t4)))))) % 207.82/208.07 (assume @p31 @t68) % 207.82/208.07 (assume @p32 (exists (@list @t7 @t2 @t1) (and @t8 (not @t13) @t6))) % 207.82/208.07 (assume @p33 @t69) % 207.82/208.07 (assume @p34 true) % 207.82/208.07 ; WARNING: add trust step for TRUST % 207.82/208.07 ; trust TRUST PREPROCESS_SORT_INFER % 207.82/208.07 (step @p35 :rule trust :premises () :args ((= (forall @t60 (= @t58 @t64)) @t72))) % 207.82/208.07 (step @p36 :rule eq-symm :args (@t64 @t58)) % 207.82/208.07 (step @p37 :rule cong :premises (@p36) :args ((forall @t60 (= @t64 @t58)))) % 207.82/208.07 (step @p38 :rule bool-xor-elim :args (@t59 @t58)) % 207.82/208.07 (step @p39 :rule cong :premises (@p38) :args (@t61)) % 207.82/208.07 (step @p40 :rule trans :premises (@p39 @p37)) % 207.82/208.07 (step @p41 :rule trans :premises (@p40 @p35)) % 207.82/208.07 (step @p42 :rule eq_resolve :premises (@p25 @p41)) % 207.82/208.07 ; trust TRUST PREPROCESS_SORT_INFER % 207.82/208.07 (step @p43 :rule trust :premises () :args ((= (not (forall @t89 @t88)) (not @t78)))) % 207.82/208.07 (step @p44 :rule aci_norm :args ((= @t91 @t88))) % 207.82/208.07 (step @p45 :rule cong :premises (@p44) :args (@t92)) % 207.82/208.07 (step @p46 :rule quant-merge-prenex :args ((= (forall @t12 @t93) @t92))) % 207.82/208.07 (step @p47 :rule alpha_equiv :args (@t94 (@list @t82) (@list @t33))) % 207.82/208.07 (step @p48 :rule alpha_equiv :args (@t95 (@list @t79) (@list @t22))) % 207.82/208.07 (step @p49 :rule refl :args (@t85)) % 207.82/208.07 (step @p50 :rule alpha_equiv :args (@t96 (@list @t86) (@list @t7))) % 207.82/208.07 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48 @p47) :args (@t97)) % 207.82/208.07 (step @p52 :rule quant-miniscope-or :args ((= @t93 @t97))) % 207.82/208.07 (step @p53 :rule trans :premises (@p52 @p51)) % 207.82/208.07 (step @p54 :rule symm :premises (@p53)) % 207.82/208.07 (step @p55 :rule cong :premises (@p54) :args ((forall @t12 (or @t101 @t85 @t99 @t98)))) % 207.82/208.07 (step @p56 :rule trans :premises (@p55 @p46)) % 207.82/208.07 (step @p57 :rule trans :premises (@p56 @p45)) % 207.82/208.07 (step @p58 :rule bool-double-not-elim :args (@t98)) % 207.82/208.07 (step @p59 :rule bool-double-not-elim :args (@t99)) % 207.82/208.07 (step @p60 :rule bool-double-not-elim :args (@t101)) % 207.82/208.07 (step @p61 :rule nary_cong :premises (@p60 @p49 @p59 @p58) :args (@t108)) % 207.82/208.07 (step @p62 :rule aci_norm :args ((= (or @t107 (or @t85 (or @t105 @t103))) @t108))) % 207.82/208.07 (step @p63 :rule trans :premises (@p62 @p61)) % 207.82/208.07 (step @p64 :rule bool-and-de-morgan :args (@t104 @t102 true)) % 207.82/208.07 (step @p65 :rule nary_cong :premises (@p49 @p64) :args ((or @t85 (not (and @t104 @t102))))) % 207.82/208.07 (step @p66 :rule bool-and-de-morgan :args (@t84 @t104 (and @t102))) % 207.82/208.07 (step @p67 :rule trans :premises (@p66 @p65)) % 207.82/208.07 (step @p68 :rule refl :args (@t107)) % 207.82/208.07 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t107 (not (and @t84 @t104 @t102))))) % 207.82/208.07 (step @p70 :rule bool-and-de-morgan :args (@t106 @t84 (and @t104 @t102))) % 207.82/208.07 (step @p71 :rule trans :premises (@p70 @p69)) % 207.82/208.07 (step @p72 :rule trans :premises (@p71 @p63)) % 207.82/208.07 (step @p73 :rule cong :premises (@p72) :args (@t110)) % 207.82/208.07 (step @p74 :rule trans :premises (@p73 @p57)) % 207.82/208.07 (step @p75 :rule cong :premises (@p74) :args (@t111)) % 207.82/208.07 (step @p76 :rule exists-elim :args ((= (exists @t12 @t109) @t111))) % 207.82/208.07 (step @p77 :rule trans :premises (@p76 @p75)) % 207.82/208.07 (step @p78 :rule bool-double-not-elim :args (@t34)) % 207.82/208.07 (step @p79 :rule cong :premises (@p78) :args (@t112)) % 207.82/208.07 (step @p80 :rule cong :premises (@p79) :args (@t113)) % 207.82/208.07 (step @p81 :rule exists-elim :args ((= @t37 @t113))) % 207.82/208.07 (step @p82 :rule trans :premises (@p81 @p80)) % 207.82/208.07 (step @p83 :rule refl :args (@t41)) % 207.82/208.07 (step @p84 :rule bool-double-not-elim :args (@t23)) % 207.82/208.07 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t114 @t41))) % 207.82/208.07 (step @p86 :rule bool-and-de-morgan :args (@t24 @t25 true)) % 207.82/208.07 (step @p87 :rule trans :premises (@p86 @p85)) % 207.82/208.07 (step @p88 :rule cong :premises (@p87) :args (@t115)) % 207.82/208.07 (step @p89 :rule cong :premises (@p88) :args (@t116)) % 207.82/208.07 (step @p90 :rule exists-elim :args ((= @t66 @t116))) % 207.82/208.07 (step @p91 :rule trans :premises (@p90 @p89)) % 207.82/208.07 (step @p92 :rule bool-impl-elim :args (@t20 @t4)) % 207.82/208.07 (step @p93 :rule cong :premises (@p92) :args (@t29)) % 207.82/208.07 (step @p94 :rule exists-elim :args ((= @t10 @t106))) % 207.82/208.07 (step @p95 :rule nary_cong :premises (@p94 @p93 @p91 @p82) :args (@t67)) % 207.82/208.07 (step @p96 :rule cong :premises (@p95) :args (@t68)) % 207.82/208.07 (step @p97 :rule trans :premises (@p96 @p77)) % 207.82/208.07 (step @p98 :rule trans :premises (@p97 @p43)) % 207.82/208.07 (step @p99 :rule eq_resolve :premises (@p31 @p98)) % 207.82/208.07 (step @p100 :rule skolemize :premises (@p99)) % 207.82/208.07 (step @p101 :rule bool-double-not-elim :args (@t119)) % 207.82/208.07 (step @p102 :rule refl :args (@t130)) % 207.82/208.07 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or @t130 (not @t126)))) % 207.82/208.07 (step @p104 :rule cnf_or_neg :args (@t130 1)) % 207.82/208.07 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 207.82/208.07 (step @p106 :rule reordering :premises (@p105) :args ((or @t119 @t130))) % 207.82/208.07 (step @p107 :rule chain_m_resolution :premises (@p106 @p100) :args (@t119 @t131 @t132)) % 207.82/208.07 (step @p108 :rule instantiate :premises (@p107) :args ((@list @t140))) % 207.82/208.07 (step @p109 :rule instantiate :premises (@p42) :args ((@list @t140 @t117))) % 207.82/208.07 ; trust TRUST PREPROCESS_SORT_INFER % 207.82/208.07 (step @p110 :rule trust :premises () :args ((= (forall @t12 (= @t16 @t144)) (forall @t12 (= @t143 (forall @t138 (or (not (_ @t71 @t134 @t2)) (_ @t71 @t134 @t1)))))))) % 207.82/208.07 (step @p111 :rule eq-symm :args (@t144 @t16)) % 207.82/208.07 (step @p112 :rule refl :args (@t16)) % 207.82/208.07 (step @p113 :rule bool-impl-elim :args (@t8 @t13)) % 207.82/208.07 (step @p114 :rule cong :premises (@p113) :args (@t17)) % 207.82/208.07 (step @p115 :rule cong :premises (@p114 @p112) :args (@t18)) % 207.82/208.07 (step @p116 :rule trans :premises (@p115 @p111)) % 207.82/208.07 (step @p117 :rule cong :premises (@p116) :args (@t19)) % 207.82/208.07 (step @p118 :rule trans :premises (@p117 @p110)) % 207.82/208.07 (step @p119 :rule eq_resolve :premises (@p5 @p118)) % 207.82/208.07 (step @p120 :rule instantiate :premises (@p119) :args (@t145)) % 207.82/208.07 (step @p121 :rule cnf_equiv_pos1 :args (@t147)) % 207.82/208.07 (step @p122 :rule reordering :premises (@p121) :args ((or @t139 @t149 @t148))) % 207.82/208.07 ; trust TRUST PREPROCESS_SORT_INFER % 207.82/208.07 (step @p123 :rule trust :premises () :args ((= (forall @t52 (= @t46 @t153)) (forall (@list @t151 @t150) (= (_ @t152 @t151 @t150) (not (forall @t12 (or (not (_ @t142 @t2 @t1 @t151)) (not (_ @t142 @t2 @t1 @t150)))))))))) % 207.82/208.07 (step @p124 :rule eq-symm :args (@t153 @t46)) % 207.82/208.07 (step @p125 :rule refl :args (@t46)) % 207.82/208.07 (step @p126 :rule bool-and-de-morgan :args (@t48 @t47 true)) % 207.82/208.07 (step @p127 :rule cong :premises (@p126) :args (@t154)) % 207.82/208.07 (step @p128 :rule cong :premises (@p127) :args (@t155)) % 207.82/208.07 (step @p129 :rule exists-elim :args ((= @t50 @t155))) % 207.82/208.07 (step @p130 :rule trans :premises (@p129 @p128)) % 207.82/208.07 (step @p131 :rule cong :premises (@p130 @p125) :args (@t51)) % 207.82/208.07 (step @p132 :rule trans :premises (@p131 @p124)) % 207.82/208.07 (step @p133 :rule cong :premises (@p132) :args (@t53)) % 207.82/208.07 (step @p134 :rule trans :premises (@p133 @p123)) % 207.82/208.07 (step @p135 :rule eq_resolve :premises (@p20 @p134)) % 207.82/208.07 (step @p136 :rule instantiate :premises (@p135) :args ((@list @t156 @t141))) % 207.82/208.07 ; trust TRUST PREPROCESS_SORT_INFER % 207.82/208.07 (step @p137 :rule trust :premises () :args ((= @t69 (not @t157)))) % 207.82/208.07 (step @p138 :rule eq_resolve :premises (@p33 @p137)) % 207.82/208.07 (step @p139 :rule bool-double-not-elim :args (@t159)) % 207.82/208.07 (step @p140 :rule refl :args (@t157)) % 207.82/208.07 (step @p141 :rule refl :args (@t162)) % 207.82/208.07 (step @p142 :rule nary_cong :premises (@p141 @p140 @p139) :args ((or @t162 @t157 (not @t160)))) % 207.82/208.07 (step @p143 :rule cnf_equiv_pos2 :args (@t161)) % 207.82/208.07 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 207.82/208.07 (step @p145 :rule reordering :premises (@p144) :args ((or @t157 @t159 @t162))) % 207.82/208.07 (step @p146 :rule chain_m_resolution :premises (@p145 @p138 @p136) :args (@t159 @t163 (@list @t157 @t161))) % 207.82/208.07 (step @p147 :rule instantiate :premises (@p146) :args (@t145)) % 207.82/208.07 (step @p148 :rule cnf_or_pos :args (@t166)) % 207.82/208.07 (step @p149 :rule reordering :premises (@p148) :args ((or @t165 @t149 (not @t166)))) % 207.82/208.07 (step @p150 :rule alpha_equiv :args (@t139 @t167 (@list @t168))) % 207.82/208.07 (step @p151 :rule equiv_elim1 :premises (@p150)) % 207.82/208.07 (step @p152 :rule reordering :premises (@p151) :args ((or @t171 @t169))) % 207.82/208.07 ; trust TRUST PREPROCESS_SORT_INFER % 207.82/208.07 (step @p153 :rule trust :premises () :args ((= (forall @t12 (= @t32 @t178)) (forall @t12 (= @t158 (and (not (forall @t177 (not (_ @t71 @t176 @t2)))) (forall @t170 (or (not (_ @t71 @t168 @t2)) (_ @t71 @t168 @t1))) (not (forall @t175 (or (not (_ @t71 @t174 @t1)) (_ @t71 @t174 @t2)))) (not (forall @t173 (_ @t71 @t172 @t1))))))))) % 207.82/208.07 (step @p154 :rule eq-symm :args (@t178 @t32)) % 207.82/208.07 (step @p155 :rule refl :args (@t32)) % 207.82/208.07 (step @p156 :rule nary_cong :premises (@p83 @p84) :args ((or @t41 @t114))) % 207.82/208.07 (step @p157 :rule bool-and-de-morgan :args (@t25 @t24 true)) % 207.82/208.07 (step @p158 :rule trans :premises (@p157 @p156)) % 207.82/208.07 (step @p159 :rule cong :premises (@p158) :args (@t179)) % 207.82/208.07 (step @p160 :rule cong :premises (@p159) :args (@t180)) % 207.82/208.07 (step @p161 :rule exists-elim :args ((= @t28 @t180))) % 207.82/208.07 (step @p162 :rule trans :premises (@p161 @p160)) % 207.82/208.07 (step @p163 :rule nary_cong :premises (@p94 @p93 @p162 @p82) :args (@t38)) % 207.82/208.07 (step @p164 :rule cong :premises (@p163 @p155) :args (@t39)) % 207.82/208.07 (step @p165 :rule trans :premises (@p164 @p154)) % 207.82/208.07 (step @p166 :rule cong :premises (@p165) :args (@t40)) % 207.82/208.07 (step @p167 :rule trans :premises (@p166 @p153)) % 207.82/208.07 (step @p168 :rule eq_resolve :premises (@p12 @p167)) % 207.82/208.07 (step @p169 :rule instantiate :premises (@p168) :args (@t145)) % 207.82/208.07 (step @p170 :rule cnf_equiv_pos2 :args (@t188)) % 207.82/208.08 (step @p171 :rule reordering :premises (@p170) :args ((or @t164 (not @t187) (not @t188)))) % 207.82/208.08 (step @p172 :rule eq-symm :args (@t189 @t129)) % 207.82/208.08 (step @p173 :rule refl :args (@t72)) % 207.82/208.08 (step @p174 :rule cong :premises (@p173 @p172) :args ((=> @t72 @t190))) % 207.82/208.08 (assume-push @p331 @t72) % 207.82/208.08 (step @p176 :rule instantiate :premises (@p42) :args ((@list @t127 @t118))) % 207.82/208.08 (step-pop @p332 :rule scope :premises (@p176)) % 207.82/208.08 (step @p177 :rule process_scope :premises (@p332) :args (@t190)) % 207.82/208.08 (step @p179 :rule eq_resolve :premises (@p177 @p174)) % 207.82/208.08 (step @p180 :rule implies_elim :premises (@p179)) % 207.82/208.08 (step @p181 :rule chain_m_resolution :premises (@p180 @p42) :args (@t191 @t192 @t193)) % 207.82/208.08 (step @p182 :rule bool-double-not-elim :args (@t128)) % 207.82/208.08 (step @p183 :rule nary_cong :premises (@p102 @p182) :args ((or @t130 (not @t129)))) % 207.82/208.08 (step @p184 :rule cnf_or_neg :args (@t130 0)) % 207.82/208.08 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 207.82/208.08 (step @p186 :rule reordering :premises (@p185) :args ((or @t128 @t130))) % 207.82/208.08 (step @p187 :rule chain_m_resolution :premises (@p186 @p100) :args (@t128 @t131 @t132)) % 207.82/208.08 (step @p188 :rule cnf_equiv_pos2 :args (@t191)) % 207.82/208.08 (step @p189 :rule reordering :premises (@p188) :args ((or @t129 @t194 (not @t191)))) % 207.82/208.08 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p181) :args (@t194 @t195 (@list @t128 @t191))) % 207.82/208.08 (assume-push @p333 @t197) % 207.82/208.08 (step @p192 :rule instantiate :premises (@p333) :args ((@list @t127))) % 207.82/208.08 (step-pop @p334 :rule scope :premises (@p192)) % 207.82/208.08 (step @p193 :rule process_scope :premises (@p334) :args (@t189)) % 207.82/208.08 (step @p195 :rule implies_elim :premises (@p193)) % 207.82/208.08 (step @p196 :rule reordering :premises (@p195) :args ((or @t189 @t198))) % 207.82/208.08 (step @p197 :rule chain_m_resolution :premises (@p196 @p190) :args (@t198 @t131 (@list @t189))) % 207.82/208.08 (step @p198 :rule alpha_equiv :args (@t197 (@list @t196) (@list @t172))) % 207.82/208.08 (step @p199 :rule equiv_elim2 :premises (@p198)) % 207.82/208.08 (step @p200 :rule chain_m_resolution :premises (@p199 @p197) :args (@t182 @t131 (@list @t197))) % 207.82/208.08 (step @p201 :rule eq-symm :args (@t199 @t200)) % 207.82/208.08 (step @p202 :rule cong :premises (@p173 @p201) :args ((=> @t72 @t201))) % 207.82/208.08 (assume-push @p335 @t72) % 207.82/208.08 (step @p204 :rule instantiate :premises (@p42) :args ((@list @t124 @t117))) % 207.82/208.08 (step-pop @p336 :rule scope :premises (@p204)) % 207.82/208.08 (step @p205 :rule process_scope :premises (@p336) :args (@t201)) % 207.82/208.08 (step @p207 :rule eq_resolve :premises (@p205 @p202)) % 207.82/208.08 (step @p208 :rule implies_elim :premises (@p207)) % 207.82/208.08 (step @p209 :rule chain_m_resolution :premises (@p208 @p42) :args (@t202 @t192 @t193)) % 207.82/208.08 (step @p210 :rule cnf_or_neg :args (@t130 2)) % 207.82/208.08 (step @p211 :rule chain_m_resolution :premises (@p210 @p100) :args (@t200 @t131 @t132)) % 207.82/208.08 (step @p212 :rule refl :args (@t199)) % 207.82/208.08 (step @p213 :rule bool-double-not-elim :args (@t125)) % 207.82/208.08 (step @p214 :rule refl :args (@t203)) % 207.82/208.08 (step @p215 :rule nary_cong :premises (@p214 @p213 @p212) :args ((or @t203 (not @t200) @t199))) % 207.82/208.08 (step @p216 :rule cnf_equiv_pos1 :args (@t202)) % 207.82/208.08 (step @p217 :rule eq_resolve :premises (@p216 @p215)) % 207.82/208.08 (step @p218 :rule reordering :premises (@p217) :args ((or @t125 @t199 @t203))) % 207.82/208.08 (step @p219 :rule chain_m_resolution :premises (@p218 @p211 @p209) :args (@t199 @t163 (@list @t125 @t202))) % 207.82/208.08 (assume-push @p337 @t205) % 207.82/208.08 (step @p221 :rule instantiate :premises (@p337) :args ((@list @t124))) % 207.82/208.08 (step-pop @p338 :rule scope :premises (@p221)) % 207.82/208.08 (step @p222 :rule process_scope :premises (@p338) :args (@t206)) % 207.82/208.08 (step @p224 :rule implies_elim :premises (@p222)) % 207.82/208.08 (step @p225 :rule reordering :premises (@p224) :args ((or @t206 @t207))) % 207.82/208.08 (step @p226 :rule chain_m_resolution :premises (@p225 @p219) :args (@t207 @t192 (@list @t199))) % 207.82/208.08 (step @p227 :rule alpha_equiv :args (@t205 (@list @t204) (@list @t176))) % 207.82/208.08 (step @p228 :rule equiv_elim2 :premises (@p227)) % 207.82/208.08 (step @p229 :rule chain_m_resolution :premises (@p228 @p226) :args (@t186 @t131 (@list @t205))) % 207.82/208.08 (step @p230 :rule eq-symm :args (@t208 @t209)) % 207.82/208.08 (step @p231 :rule cong :premises (@p173 @p230) :args ((=> @t72 @t210))) % 207.82/208.08 (assume-push @p339 @t72) % 207.82/208.08 (step @p233 :rule instantiate :premises (@p42) :args ((@list @t120 @t118))) % 207.82/208.08 (step-pop @p340 :rule scope :premises (@p233)) % 207.82/208.08 (step @p234 :rule process_scope :premises (@p340) :args (@t210)) % 207.82/208.08 (step @p236 :rule eq_resolve :premises (@p234 @p231)) % 207.82/208.08 (step @p237 :rule implies_elim :premises (@p236)) % 207.82/208.08 (step @p238 :rule chain_m_resolution :premises (@p237 @p42) :args (@t211 @t192 @t193)) % 207.82/208.08 (step @p239 :rule cnf_or_neg :args (@t130 3)) % 207.82/208.08 (step @p240 :rule chain_m_resolution :premises (@p239 @p100) :args (@t209 @t131 @t132)) % 207.82/208.08 (step @p241 :rule refl :args (@t208)) % 207.82/208.08 (step @p242 :rule bool-double-not-elim :args (@t123)) % 207.82/208.08 (step @p243 :rule refl :args (@t212)) % 207.82/208.08 (step @p244 :rule nary_cong :premises (@p243 @p242 @p241) :args ((or @t212 (not @t209) @t208))) % 207.82/208.08 (step @p245 :rule cnf_equiv_pos1 :args (@t211)) % 207.82/208.08 (step @p246 :rule eq_resolve :premises (@p245 @p244)) % 207.82/208.08 (step @p247 :rule reordering :premises (@p246) :args ((or @t123 @t208 @t212))) % 207.82/208.08 (step @p248 :rule chain_m_resolution :premises (@p247 @p240 @p238) :args (@t208 @t163 (@list @t123 @t211))) % 207.82/208.08 (step @p249 :rule eq-symm :args (@t213 @t122)) % 207.82/208.08 (step @p250 :rule cong :premises (@p173 @p249) :args ((=> @t72 @t214))) % 207.82/208.08 (assume-push @p341 @t72) % 207.82/208.08 (step @p252 :rule instantiate :premises (@p42) :args ((@list @t120 @t117))) % 207.82/208.08 (step-pop @p342 :rule scope :premises (@p252)) % 207.82/208.08 (step @p253 :rule process_scope :premises (@p342) :args (@t214)) % 207.82/208.08 (step @p255 :rule eq_resolve :premises (@p253 @p250)) % 207.82/208.08 (step @p256 :rule implies_elim :premises (@p255)) % 207.82/208.08 (step @p257 :rule chain_m_resolution :premises (@p256 @p42) :args (@t215 @t192 @t193)) % 207.82/208.08 (step @p258 :rule bool-double-not-elim :args (@t121)) % 207.82/208.08 (step @p259 :rule nary_cong :premises (@p102 @p258) :args ((or @t130 (not @t122)))) % 207.82/208.08 (step @p260 :rule cnf_or_neg :args (@t130 4)) % 207.82/208.08 (step @p261 :rule eq_resolve :premises (@p260 @p259)) % 207.82/208.08 (step @p262 :rule reordering :premises (@p261) :args ((or @t121 @t130))) % 207.82/208.08 (step @p263 :rule chain_m_resolution :premises (@p262 @p100) :args (@t121 @t131 @t132)) % 207.82/208.08 (step @p264 :rule cnf_equiv_pos2 :args (@t215)) % 207.82/208.08 (step @p265 :rule reordering :premises (@p264) :args ((or @t122 @t216 (not @t215)))) % 207.82/208.08 (step @p266 :rule chain_m_resolution :premises (@p265 @p263 @p257) :args (@t216 @t195 (@list @t121 @t215))) % 207.82/208.08 (step @p267 :rule cnf_or_pos :args (@t218)) % 207.82/208.08 (step @p268 :rule reordering :premises (@p267) :args ((or @t213 @t217 @t219))) % 207.82/208.08 (step @p269 :rule chain_m_resolution :premises (@p268 @p266 @p248) :args (@t219 @t163 (@list @t213 @t208))) % 207.82/208.08 (assume-push @p343 @t220) % 207.82/208.08 (step @p271 :rule instantiate :premises (@p343) :args ((@list @t120))) % 207.82/208.08 (step-pop @p344 :rule scope :premises (@p271)) % 207.82/208.08 (step @p272 :rule process_scope :premises (@p344) :args (@t218)) % 207.82/208.08 (step @p274 :rule implies_elim :premises (@p272)) % 207.82/208.08 (step @p275 :rule chain_m_resolution :premises (@p274 @p269) :args ((not @t220) @t131 (@list @t218))) % 207.82/208.08 (step @p276 :rule alpha_equiv :args (@t220 @t167 (@list @t174))) % 207.82/208.08 (step @p277 :rule equiv_elim2 :premises (@p276)) % 207.82/208.08 (step @p278 :rule chain_m_resolution :premises (@p277 @p275) :args (@t184 @t131 (@list @t220))) % 207.82/208.08 (step @p279 :rule bool-double-not-elim :args (@t181)) % 207.82/208.08 (step @p280 :rule bool-double-not-elim :args (@t183)) % 207.82/208.08 (step @p281 :rule refl :args (@t221)) % 207.82/208.08 (step @p282 :rule bool-double-not-elim :args (@t185)) % 207.82/208.08 (step @p283 :rule refl :args (@t187)) % 207.82/208.08 (step @p284 :rule nary_cong :premises (@p283 @p282 @p281 @p280 @p279) :args ((or @t187 (not @t186) @t221 (not @t184) (not @t182)))) % 207.82/208.08 (step @p285 :rule cnf_and_neg :args (@t187)) % 207.82/208.08 (step @p286 :rule eq_resolve :premises (@p285 @p284)) % 207.82/208.08 (step @p287 :rule reordering :premises (@p286) :args ((or @t181 @t185 @t183 @t187 @t221))) % 207.82/208.08 (step @p288 :rule chain_m_resolution :premises (@p287 @p278 @p229 @p200 @p171 @p169 @p152 @p149 @p147 @p122 @p120) :args (@t149 (@list true true true true false false true false false false) (@list @t183 @t185 @t181 @t187 @t188 @t171 @t164 @t166 @t139 @t147))) % 207.82/208.08 (step @p289 :rule cnf_equiv_pos2 :args (@t147)) % 207.82/208.08 (step @p290 :rule reordering :premises (@p289) :args ((or @t146 @t169 @t148))) % 207.82/208.08 (step @p291 :rule chain_m_resolution :premises (@p290 @p288 @p120) :args (@t169 @t163 (@list @t146 @t147))) % 207.82/208.08 (step @p292 :rule refl :args (@t226)) % 207.82/208.08 (step @p293 :rule bool-double-not-elim :args (@t139)) % 207.82/208.08 (step @p294 :rule nary_cong :premises (@p293 @p292) :args ((or (not @t169) @t226))) % 207.82/208.08 (assume-push @p345 @t169) % 207.82/208.08 (step @p296 :rule skolemize :premises (@p345)) % 207.82/208.08 (step-pop @p346 :rule scope :premises (@p296)) % 207.82/208.08 (step @p297 :rule process_scope :premises (@p346) :args (@t226)) % 207.82/208.08 (step @p299 :rule implies_elim :premises (@p297)) % 207.82/208.08 (step @p300 :rule eq_resolve :premises (@p299 @p294)) % 207.82/208.08 (step @p301 :rule chain_m_resolution :premises (@p300 @p291) :args (@t226 @t131 (@list @t139))) % 207.82/208.08 (step @p302 :rule bool-double-not-elim :args (@t223)) % 207.82/208.08 (step @p303 :rule refl :args (@t225)) % 207.82/208.08 (step @p304 :rule nary_cong :premises (@p303 @p302) :args ((or @t225 (not @t224)))) % 207.82/208.08 (step @p305 :rule cnf_or_neg :args (@t225 0)) % 207.82/208.08 (step @p306 :rule eq_resolve :premises (@p305 @p304)) % 207.82/208.08 (step @p307 :rule reordering :premises (@p306) :args ((or @t223 @t225))) % 207.82/208.08 (step @p308 :rule chain_m_resolution :premises (@p307 @p301) :args (@t223 @t131 @t227)) % 207.82/208.08 (step @p309 :rule cnf_equiv_pos1 :args (@t230)) % 207.82/208.08 (step @p310 :rule reordering :premises (@p309) :args ((or @t224 @t229 (not @t230)))) % 207.82/208.08 (step @p311 :rule chain_m_resolution :premises (@p310 @p308 @p109) :args (@t229 @t195 (@list @t223 @t230))) % 207.82/208.08 (step @p312 :rule cnf_or_pos :args (@t233)) % 207.82/208.08 (step @p313 :rule reordering :premises (@p312) :args ((or @t232 @t228 (not @t233)))) % 207.82/208.08 (step @p314 :rule chain_m_resolution :premises (@p313 @p311 @p108) :args (@t232 @t163 (@list @t228 @t233))) % 207.82/208.08 (step @p315 :rule cnf_or_neg :args (@t225 1)) % 207.82/208.08 (step @p316 :rule chain_m_resolution :premises (@p315 @p301) :args ((not @t222) @t131 @t227)) % 207.82/208.08 (step @p317 :rule bool-double-not-elim :args (@t231)) % 207.82/208.08 (step @p318 :rule refl :args (@t222)) % 207.82/208.08 (step @p319 :rule refl :args (@t235)) % 207.82/208.08 (step @p320 :rule nary_cong :premises (@p319 @p318 @p317) :args ((or @t235 @t222 (not @t232)))) % 207.82/208.08 (step @p321 :rule cnf_equiv_pos2 :args (@t234)) % 207.82/208.08 (step @p322 :rule eq_resolve :premises (@p321 @p320)) % 207.82/208.08 (step @p323 :rule reordering :premises (@p322) :args ((or @t222 @t231 @t235))) % 207.82/208.08 (step @p324 :rule chain_m_resolution :premises (@p323 @p316 @p314) :args (@t235 (@list true true) (@list @t222 @t231))) % 207.82/208.08 (assume-push @p347 @t72) % 207.82/208.08 (step @p326 :rule instantiate :premises (@p42) :args ((@list @t140 @t118))) % 207.82/208.08 (step-pop @p348 :rule scope :premises (@p326)) % 207.82/208.08 (step @p327 :rule process_scope :premises (@p348) :args (@t234)) % 207.82/208.08 (step @p329 :rule implies_elim :premises (@p327)) % 207.82/208.08 (step @p330 false :rule chain_m_resolution :premises (@p329 @p324 @p42) :args (false @t163 (@list @t234 @t72))) % 207.82/208.08 ) % 207.82/208.08 % SZS output end Proof % 207.82/208.08 % cvc5 exiting %------------------------------------------------------------------------------