%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE099+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 : n009.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 08:28:18 AM UTC 2026 % Result : Theorem 21.69s 21.97s % Output : Proof 21.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE099+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n009.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 05:13:29 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 21.69/21.97 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 21.69/21.97 --- Run --no-e-matching --full-saturate-quant at 6... % 21.69/21.97 % SZS status Theorem % 21.69/21.97 % SZS output start Proof % 21.69/21.97 ( % 21.69/21.97 (declare-sort $$unsorted 0) % 21.69/21.97 (declare-const tptp.backward_box (-> $$unsorted $$unsorted $$unsorted)) % 21.69/21.97 (declare-const tptp.forward_box (-> $$unsorted $$unsorted $$unsorted)) % 21.69/21.97 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 21.69/21.97 (declare-const tptp.backward_diamond (-> $$unsorted $$unsorted $$unsorted)) % 21.69/21.97 (declare-const tptp.zero $$unsorted) % 21.69/21.97 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 21.69/21.97 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 21.69/21.97 (declare-const tptp.one $$unsorted) % 21.69/21.97 (declare-const tptp.antidomain (-> $$unsorted $$unsorted)) % 21.69/21.97 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 21.69/21.97 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 21.69/21.97 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 21.69/21.97 (declare-const tptp.domain_difference (-> $$unsorted $$unsorted $$unsorted)) % 21.69/21.97 (declare-const tptp.coantidomain (-> $$unsorted $$unsorted)) % 21.69/21.97 (declare-const tptp.forward_diamond (-> $$unsorted $$unsorted $$unsorted)) % 21.69/21.97 (define @t1 () (@var "A" $$unsorted)) % 21.69/21.97 (define @t2 () (@var "B" $$unsorted)) % 21.69/21.97 (define @t3 () (tptp.addition @t1 @t2)) % 21.69/21.97 (define @t4 () (@list @t1 @t2)) % 21.69/21.97 (define @t5 () (@var "C" $$unsorted)) % 21.69/21.97 (define @t6 () (tptp.addition @t2 @t5)) % 21.69/21.97 (define @t7 () (tptp.addition @t1 tptp.zero)) % 21.69/21.97 (define @t8 () (@list @t1)) % 21.69/21.97 (define @t9 () (forall @t8 (= @t7 @t1))) % 21.69/21.97 (define @t10 () (tptp.addition @t1 @t1)) % 21.69/21.97 (define @t11 () (forall @t8 (= @t10 @t1))) % 21.69/21.97 (define @t12 () (tptp.multiplication @t1 @t2)) % 21.69/21.97 (define @t13 () (tptp.multiplication @t2 @t5)) % 21.69/21.97 (define @t14 () (@list @t1 @t2 @t5)) % 21.69/21.97 (define @t15 () (tptp.multiplication @t1 tptp.one)) % 21.69/21.97 (define @t16 () (forall @t8 (= @t15 @t1))) % 21.69/21.97 (define @t17 () (tptp.multiplication tptp.one @t1)) % 21.69/21.97 (define @t18 () (forall @t8 (= @t17 @t1))) % 21.69/21.97 (define @t19 () (tptp.multiplication @t1 @t5)) % 21.69/21.97 (define @t20 () (tptp.multiplication @t1 tptp.zero)) % 21.69/21.97 (define @t21 () (forall @t8 (= @t20 tptp.zero))) % 21.69/21.97 (define @t22 () (tptp.multiplication tptp.zero @t1)) % 21.69/21.97 (define @t23 () (forall @t8 (= @t22 tptp.zero))) % 21.69/21.97 (define @t24 () (@var "X0" $$unsorted)) % 21.69/21.97 (define @t25 () (tptp.antidomain @t24)) % 21.69/21.97 (define @t26 () (tptp.multiplication @t25 @t24)) % 21.69/21.97 (define @t27 () (@list @t24)) % 21.69/21.97 (define @t28 () (forall @t27 (= @t26 tptp.zero))) % 21.69/21.97 (define @t29 () (@var "X1" $$unsorted)) % 21.69/21.97 (define @t30 () (tptp.antidomain @t29)) % 21.69/21.97 (define @t31 () (tptp.antidomain (tptp.multiplication @t24 (tptp.antidomain @t30)))) % 21.69/21.97 (define @t32 () (tptp.multiplication @t24 @t29)) % 21.69/21.97 (define @t33 () (tptp.addition (tptp.antidomain @t32) @t31)) % 21.69/21.97 (define @t34 () (@list @t24 @t29)) % 21.69/21.97 (define @t35 () (forall @t34 (= @t33 @t31))) % 21.69/21.97 (define @t36 () (tptp.antidomain @t25)) % 21.69/21.97 (define @t37 () (tptp.addition @t36 @t25)) % 21.69/21.97 (define @t38 () (forall @t27 (= @t37 tptp.one))) % 21.69/21.97 (define @t39 () (tptp.domain @t24)) % 21.69/21.97 (define @t40 () (forall @t27 (= @t39 @t36))) % 21.69/21.97 (define @t41 () (tptp.coantidomain @t24)) % 21.69/21.97 (define @t42 () (tptp.coantidomain @t41)) % 21.69/21.97 (define @t43 () (tptp.coantidomain (tptp.multiplication @t42 @t29))) % 21.69/21.97 (define @t44 () (tptp.domain @t29)) % 21.69/21.97 (define @t45 () (tptp.multiplication @t24 @t44)) % 21.69/21.97 (define @t46 () (tptp.c @t29)) % 21.69/21.97 (define @t47 () (@var "X2" $$unsorted)) % 21.69/21.97 (define @t48 () (tptp.multiplication (tptp.antidomain @t47) @t45)) % 21.69/21.97 (define @t49 () (tptp.domain @t47)) % 21.69/21.97 (define @t50 () (tptp.addition (tptp.forward_diamond @t24 @t44) @t49)) % 21.69/21.97 (define @t51 () (=> (= @t50 @t49) (= @t48 tptp.zero))) % 21.69/21.97 (define @t52 () (@list @t24 @t29 @t47)) % 21.69/21.97 (define @t53 () (forall @t52 @t51)) % 21.69/21.97 (define @t54 () (not @t53)) % 21.69/21.97 (define @t55 () (= @t49 @t50)) % 21.69/21.97 (define @t56 () (= tptp.zero @t48)) % 21.69/21.97 (define @t57 () (forall @t52 (or (not @t55) @t56))) % 21.69/21.97 (define @t58 () (@quantifiers_skolemize @t57 2)) % 21.69/21.97 (define @t59 () (tptp.domain @t58)) % 21.69/21.97 (define @t60 () (@quantifiers_skolemize @t57 1)) % 21.69/21.97 (define @t61 () (tptp.domain @t60)) % 21.69/21.97 (define @t62 () (@quantifiers_skolemize @t57 0)) % 21.69/21.97 (define @t63 () (tptp.forward_diamond @t62 @t61)) % 21.69/21.97 (define @t64 () (tptp.addition @t63 @t59)) % 21.69/21.97 (define @t65 () (= @t59 @t64)) % 21.69/21.97 (define @t66 () (tptp.multiplication @t62 @t61)) % 21.69/21.97 (define @t67 () (tptp.antidomain @t58)) % 21.69/21.97 (define @t68 () (= tptp.zero (tptp.multiplication @t67 @t66))) % 21.69/21.97 (define @t69 () (not @t65)) % 21.69/21.97 (define @t70 () (or @t69 @t68)) % 21.69/21.97 (define @t71 () (@list true)) % 21.69/21.97 (define @t72 () (@list @t70)) % 21.69/21.97 (define @t73 () (tptp.antidomain tptp.one)) % 21.69/21.97 (define @t74 () (tptp.antidomain @t60)) % 21.69/21.97 (define @t75 () (tptp.antidomain @t74)) % 21.69/21.97 (define @t76 () (forall @t27 (= @t36 @t39))) % 21.69/21.97 (define @t77 () (= @t75 @t61)) % 21.69/21.97 (define @t78 () (@list @t60)) % 21.69/21.97 (define @t79 () (= @t61 @t75)) % 21.69/21.97 (define @t80 () (@list false)) % 21.69/21.97 (define @t81 () (@list @t76)) % 21.69/21.97 (define @t82 () (@list @t58)) % 21.69/21.97 (define @t83 () (tptp.antidomain @t67)) % 21.69/21.97 (define @t84 () (= @t83 @t59)) % 21.69/21.97 (define @t85 () (= @t59 @t83)) % 21.69/21.97 (define @t86 () (@list @t59)) % 21.69/21.97 (define @t87 () (tptp.multiplication tptp.one @t61)) % 21.69/21.97 (define @t88 () (@list @t87)) % 21.69/21.97 (define @t89 () (tptp.multiplication tptp.one @t59)) % 21.69/21.97 (define @t90 () (@list @t89)) % 21.69/21.97 (define @t91 () (tptp.antidomain @t87)) % 21.69/21.97 (define @t92 () (tptp.antidomain @t91)) % 21.69/21.97 (define @t93 () (tptp.domain @t87)) % 21.69/21.97 (define @t94 () (= @t92 @t93)) % 21.69/21.97 (define @t95 () (= @t93 @t92)) % 21.69/21.97 (define @t96 () (tptp.multiplication tptp.one @t93)) % 21.69/21.97 (define @t97 () (tptp.domain @t61)) % 21.69/21.97 (define @t98 () (tptp.multiplication @t62 @t97)) % 21.69/21.97 (define @t99 () (@list @t98)) % 21.69/21.97 (define @t100 () (tptp.antidomain @t98)) % 21.69/21.97 (define @t101 () (tptp.antidomain @t100)) % 21.69/21.97 (define @t102 () (tptp.domain @t98)) % 21.69/21.97 (define @t103 () (= @t101 @t102)) % 21.69/21.97 (define @t104 () (= @t102 @t101)) % 21.69/21.97 (define @t105 () (tptp.multiplication tptp.one @t83)) % 21.69/21.97 (define @t106 () (tptp.antidomain @t105)) % 21.69/21.97 (define @t107 () (tptp.multiplication tptp.one @t58)) % 21.69/21.97 (define @t108 () (tptp.antidomain @t107)) % 21.69/21.97 (define @t109 () (tptp.antidomain @t75)) % 21.69/21.97 (define @t110 () (tptp.multiplication tptp.one @t75)) % 21.69/21.97 (define @t111 () (tptp.antidomain @t110)) % 21.69/21.97 (define @t112 () (tptp.addition (tptp.antidomain (tptp.multiplication tptp.one @t60)) @t111)) % 21.69/21.97 (define @t113 () (tptp.multiplication @t73 tptp.one)) % 21.69/21.97 (define @t114 () (= tptp.zero @t113)) % 21.69/21.97 (define @t115 () (= @t73 @t113)) % 21.69/21.97 (define @t116 () (= @t111 @t112)) % 21.69/21.97 (define @t117 () (= @t75 @t110)) % 21.69/21.97 (define @t118 () (= @t58 @t107)) % 21.69/21.97 (define @t119 () (tptp.addition @t59 tptp.zero)) % 21.69/21.97 (define @t120 () (= @t59 @t119)) % 21.69/21.97 (define @t121 () (= tptp.zero (tptp.multiplication tptp.zero @t59))) % 21.69/21.97 (define @t122 () (tptp.addition @t108 @t106)) % 21.69/21.97 (define @t123 () (= @t106 @t122)) % 21.69/21.97 (define @t124 () (tptp.addition @t83 @t67)) % 21.69/21.97 (define @t125 () (= tptp.one @t124)) % 21.69/21.97 (define @t126 () (= @t83 @t105)) % 21.69/21.97 (define @t127 () (tptp.addition @t87 tptp.zero)) % 21.69/21.97 (define @t128 () (= @t87 @t127)) % 21.69/21.97 (define @t129 () (tptp.multiplication (tptp.antidomain @t89) @t89)) % 21.69/21.97 (define @t130 () (= tptp.zero @t129)) % 21.69/21.97 (define @t131 () (= @t89 (tptp.addition @t89 @t89))) % 21.69/21.97 (define @t132 () (tptp.addition @t59 @t83)) % 21.69/21.97 (define @t133 () (tptp.addition @t132 @t67)) % 21.69/21.97 (define @t134 () (= (tptp.addition @t59 @t124) @t133)) % 21.69/21.97 (define @t135 () (tptp.multiplication @t91 @t87)) % 21.69/21.97 (define @t136 () (= tptp.zero @t135)) % 21.69/21.97 (define @t137 () (tptp.multiplication tptp.one @t66)) % 21.69/21.97 (define @t138 () (= @t66 @t137)) % 21.69/21.97 (define @t139 () (= tptp.zero (tptp.multiplication @t63 tptp.zero))) % 21.69/21.97 (define @t140 () (tptp.addition @t92 @t91)) % 21.69/21.97 (define @t141 () (= tptp.one @t140)) % 21.69/21.97 (define @t142 () (tptp.addition @t89 @t63)) % 21.69/21.97 (define @t143 () (= @t142 (tptp.addition @t63 @t89))) % 21.69/21.97 (define @t144 () (= @t63 @t102)) % 21.69/21.97 (define @t145 () (= @t92 (tptp.multiplication tptp.one @t92))) % 21.69/21.97 (define @t146 () (tptp.multiplication @t96 tptp.one)) % 21.69/21.97 (define @t147 () (= @t96 @t146)) % 21.69/21.97 (define @t148 () (= tptp.zero (tptp.multiplication @t93 tptp.zero))) % 21.69/21.97 (define @t149 () (tptp.addition @t109 @t75)) % 21.69/21.97 (define @t150 () (= tptp.one @t149)) % 21.69/21.97 (define @t151 () (tptp.multiplication tptp.zero @t98)) % 21.69/21.97 (define @t152 () (= tptp.zero @t151)) % 21.69/21.97 (define @t153 () (= @t98 (tptp.multiplication tptp.one @t98))) % 21.69/21.97 (define @t154 () (tptp.multiplication @t100 @t98)) % 21.69/21.97 (define @t155 () (= tptp.zero @t154)) % 21.69/21.97 (define @t156 () (tptp.addition @t98 tptp.zero)) % 21.69/21.97 (define @t157 () (= @t98 @t156)) % 21.69/21.97 (define @t158 () (tptp.addition @t101 @t100)) % 21.69/21.97 (define @t159 () (= tptp.one @t158)) % 21.69/21.97 (define @t160 () (tptp.multiplication @t101 @t98)) % 21.69/21.97 (define @t161 () (tptp.multiplication @t158 @t98)) % 21.69/21.97 (define @t162 () (= @t161 (tptp.addition @t160 @t154))) % 21.69/21.97 (define @t163 () (tptp.multiplication @t92 @t75)) % 21.69/21.97 (define @t164 () (tptp.multiplication @t140 @t75)) % 21.69/21.97 (define @t165 () (= @t164 (tptp.addition @t163 (tptp.multiplication @t91 @t75)))) % 21.69/21.97 (define @t166 () (tptp.multiplication @t101 tptp.zero)) % 21.69/21.97 (define @t167 () (tptp.addition @t160 @t166)) % 21.69/21.97 (define @t168 () (= (tptp.multiplication @t101 @t156) @t167)) % 21.69/21.97 (define @t169 () (tptp.multiplication @t67 tptp.zero)) % 21.69/21.97 (define @t170 () (= tptp.zero @t169)) % 21.69/21.97 (define @t171 () (tptp.multiplication @t106 @t89)) % 21.69/21.97 (define @t172 () (tptp.multiplication @t108 @t89)) % 21.69/21.97 (define @t173 () (tptp.addition @t172 @t171)) % 21.69/21.97 (define @t174 () (= (tptp.multiplication @t122 @t89) @t173)) % 21.69/21.97 (define @t175 () (tptp.multiplication @t63 @t66)) % 21.69/21.97 (define @t176 () (tptp.multiplication @t89 @t66)) % 21.69/21.97 (define @t177 () (tptp.addition @t176 @t175)) % 21.69/21.97 (define @t178 () (= (tptp.multiplication @t142 @t66) @t177)) % 21.69/21.97 (define @t179 () (tptp.addition @t75 @t109)) % 21.69/21.97 (define @t180 () (= @t149 @t179)) % 21.69/21.97 (define @t181 () (tptp.multiplication @t96 @t112)) % 21.69/21.97 (define @t182 () (tptp.multiplication @t96 @t75)) % 21.69/21.97 (define @t183 () (tptp.addition @t182 @t181)) % 21.69/21.97 (define @t184 () (= (tptp.multiplication @t96 (tptp.addition @t75 @t112)) @t183)) % 21.69/21.97 (define @t185 () (tptp.multiplication @t108 @t119)) % 21.69/21.97 (define @t186 () (= @t185 (tptp.addition (tptp.multiplication @t108 @t59) (tptp.multiplication @t108 tptp.zero)))) % 21.69/21.97 (define @t187 () (tptp.multiplication @t59 @t66)) % 21.69/21.97 (define @t188 () (tptp.addition @t59 tptp.one)) % 21.69/21.97 (define @t189 () (tptp.multiplication @t188 @t66)) % 21.69/21.97 (define @t190 () (= @t189 (tptp.addition @t187 @t137))) % 21.69/21.97 (define @t191 () (tptp.multiplication @t59 @t98)) % 21.69/21.97 (define @t192 () (tptp.multiplication @t67 @t191)) % 21.69/21.97 (define @t193 () (= @t192 (tptp.multiplication (tptp.multiplication @t67 @t59) @t98))) % 21.69/21.97 (define @t194 () (tptp.multiplication @t92 tptp.zero)) % 21.69/21.97 (define @t195 () (tptp.multiplication @t92 @t87)) % 21.69/21.97 (define @t196 () (tptp.addition @t195 @t194)) % 21.69/21.97 (define @t197 () (= (tptp.multiplication @t92 @t127) @t196)) % 21.69/21.97 (define @t198 () (= tptp.zero (tptp.multiplication @t92 @t91))) % 21.69/21.97 (define @t199 () (tptp.multiplication tptp.one @t89)) % 21.69/21.97 (define @t200 () (tptp.multiplication tptp.zero @t89)) % 21.69/21.97 (define @t201 () (and @t65 @t114 @t115 @t79 @t116 @t117 @t118 @t85 @t120 @t121 @t123 @t125 @t126 @t128 @t130 @t131 @t134 @t136 @t138 @t95 @t139 @t141 @t143 @t144 @t145 @t147 @t148 @t150 @t152 @t153 @t155 @t104 @t157 @t159 @t162 @t165 @t168 @t170 @t174 @t178 @t180 @t184 @t186 @t190 @t193 @t197 @t198)) % 21.69/21.97 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 21.69/21.97 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 21.69/21.97 (assume @p3 @t9) % 21.69/21.97 (assume @p4 @t11) % 21.69/21.97 (assume @p5 (forall @t14 (= (tptp.multiplication @t1 @t13) (tptp.multiplication @t12 @t5)))) % 21.69/21.97 (assume @p6 @t16) % 21.69/21.97 (assume @p7 @t18) % 21.69/21.97 (assume @p8 (forall @t14 (= (tptp.multiplication @t1 @t6) (tptp.addition @t12 @t19)))) % 21.69/21.97 (assume @p9 (forall @t14 (= (tptp.multiplication @t3 @t5) (tptp.addition @t19 @t13)))) % 21.69/21.97 (assume @p10 @t21) % 21.69/21.97 (assume @p11 @t23) % 21.69/21.97 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 21.69/21.97 (assume @p13 @t28) % 21.69/21.97 (assume @p14 @t35) % 21.69/21.97 (assume @p15 @t38) % 21.69/21.97 (assume @p16 @t40) % 21.69/21.97 (assume @p17 (forall @t27 (= (tptp.multiplication @t24 @t41) tptp.zero))) % 21.69/21.97 (assume @p18 (forall @t34 (= (tptp.addition (tptp.coantidomain @t32) @t43) @t43))) % 21.69/21.97 (assume @p19 (forall @t27 (= (tptp.addition @t42 @t41) tptp.one))) % 21.69/21.97 (assume @p20 (forall @t27 (= (tptp.codomain @t24) @t42))) % 21.69/21.97 (assume @p21 (forall @t27 (= (tptp.c @t24) (tptp.antidomain @t39)))) % 21.69/21.97 (assume @p22 (forall @t34 (= (tptp.domain_difference @t24 @t29) (tptp.multiplication @t39 @t30)))) % 21.69/21.97 (assume @p23 (forall @t34 (= (tptp.forward_diamond @t24 @t29) (tptp.domain @t45)))) % 21.69/21.97 (assume @p24 (forall @t34 (= (tptp.backward_diamond @t24 @t29) (tptp.codomain (tptp.multiplication (tptp.codomain @t29) @t24))))) % 21.69/21.97 (assume @p25 (forall @t34 (= (tptp.forward_box @t24 @t29) (tptp.c (tptp.forward_diamond @t24 @t46))))) % 21.69/21.97 (assume @p26 (forall @t34 (= (tptp.backward_box @t24 @t29) (tptp.c (tptp.backward_diamond @t24 @t46))))) % 21.69/21.97 (assume @p27 @t54) % 21.69/21.97 (assume @p28 true) % 21.69/21.97 (step @p29 :rule bool-impl-elim :args (@t55 @t56)) % 21.69/21.97 (step @p30 :rule cong :premises (@p29) :args ((forall @t52 (=> @t55 @t56)))) % 21.69/21.97 (step @p31 :rule eq-symm :args (@t48 tptp.zero)) % 21.69/21.97 (step @p32 :rule eq-symm :args (@t50 @t49)) % 21.69/21.97 (step @p33 :rule cong :premises (@p32 @p31) :args (@t51)) % 21.69/21.97 (step @p34 :rule cong :premises (@p33) :args (@t53)) % 21.69/21.97 (step @p35 :rule trans :premises (@p34 @p30)) % 21.69/21.97 (step @p36 :rule cong :premises (@p35) :args (@t54)) % 21.69/21.97 (step @p37 :rule eq_resolve :premises (@p27 @p36)) % 21.69/21.97 (step @p38 :rule skolemize :premises (@p37)) % 21.69/21.97 (step @p39 :rule bool-double-not-elim :args (@t65)) % 21.69/21.97 (step @p40 :rule refl :args (@t70)) % 21.69/21.97 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t70 (not @t69)))) % 21.69/21.97 (step @p42 :rule cnf_or_neg :args (@t70 0)) % 21.69/21.97 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 21.69/21.97 (step @p44 :rule reordering :premises (@p43) :args ((or @t65 @t70))) % 21.69/21.97 (step @p45 :rule chain_m_resolution :premises (@p44 @p38) :args (@t65 @t71 @t72)) % 21.69/21.97 (step @p46 :rule cnf_or_neg :args (@t70 1)) % 21.69/21.97 (step @p47 :rule chain_m_resolution :premises (@p46 @p38) :args ((not @t68) @t71 @t72)) % 21.69/21.97 (step @p48 :rule eq-symm :args (@t26 tptp.zero)) % 21.69/21.97 (step @p49 :rule cong :premises (@p48) :args (@t28)) % 21.69/21.97 (step @p50 :rule eq_resolve :premises (@p13 @p49)) % 21.69/21.97 (step @p51 :rule instantiate :premises (@p50) :args ((@list tptp.one))) % 21.69/21.97 (step @p52 :rule eq-symm :args (@t15 @t1)) % 21.69/21.97 (step @p53 :rule cong :premises (@p52) :args (@t16)) % 21.69/21.97 (step @p54 :rule eq_resolve :premises (@p6 @p53)) % 21.69/21.97 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t73))) % 21.69/21.97 (step @p56 :rule eq-symm :args (@t39 @t36)) % 21.69/21.97 (step @p57 :rule cong :premises (@p56) :args (@t40)) % 21.69/21.97 (step @p58 :rule eq_resolve :premises (@p16 @p57)) % 21.69/21.97 (step @p59 :rule eq-symm :args (@t75 @t61)) % 21.69/21.97 (step @p60 :rule refl :args (@t76)) % 21.69/21.97 (step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t76 @t77))) % 21.69/21.97 (assume-push @p404 @t76) % 21.69/21.97 (step @p63 :rule instantiate :premises (@p58) :args (@t78)) % 21.69/21.97 (step-pop @p405 :rule scope :premises (@p63)) % 21.69/21.97 (step @p64 :rule process_scope :premises (@p405) :args (@t77)) % 21.69/21.97 (step @p66 :rule eq_resolve :premises (@p64 @p61)) % 21.69/21.97 (step @p67 :rule implies_elim :premises (@p66)) % 21.69/21.97 (step @p68 :rule chain_m_resolution :premises (@p67 @p58) :args (@t79 @t80 @t81)) % 21.69/21.97 (step @p69 :rule eq-symm :args (@t33 @t31)) % 21.69/21.97 (step @p70 :rule cong :premises (@p69) :args (@t35)) % 21.69/21.97 (step @p71 :rule eq_resolve :premises (@p14 @p70)) % 21.69/21.97 (step @p72 :rule instantiate :premises (@p71) :args ((@list tptp.one @t60))) % 21.69/21.97 (step @p73 :rule eq-symm :args (@t17 @t1)) % 21.69/21.97 (step @p74 :rule cong :premises (@p73) :args (@t18)) % 21.69/21.97 (step @p75 :rule eq_resolve :premises (@p7 @p74)) % 21.69/21.97 (step @p76 :rule instantiate :premises (@p75) :args ((@list @t75))) % 21.69/21.97 (step @p77 :rule instantiate :premises (@p75) :args (@t82)) % 21.69/21.97 (step @p78 :rule eq-symm :args (@t83 @t59)) % 21.69/21.97 (step @p79 :rule cong :premises (@p60 @p78) :args ((=> @t76 @t84))) % 21.69/21.97 (assume-push @p406 @t76) % 21.69/21.97 (step @p81 :rule instantiate :premises (@p58) :args (@t82)) % 21.69/21.97 (step-pop @p407 :rule scope :premises (@p81)) % 21.69/21.97 (step @p82 :rule process_scope :premises (@p407) :args (@t84)) % 21.69/21.97 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 21.69/21.97 (step @p85 :rule implies_elim :premises (@p84)) % 21.69/21.97 (step @p86 :rule chain_m_resolution :premises (@p85 @p58) :args (@t85 @t80 @t81)) % 21.69/21.97 (step @p87 :rule eq-symm :args (@t7 @t1)) % 21.69/21.97 (step @p88 :rule cong :premises (@p87) :args (@t9)) % 21.69/21.97 (step @p89 :rule eq_resolve :premises (@p3 @p88)) % 21.69/21.97 (step @p90 :rule instantiate :premises (@p89) :args (@t86)) % 21.69/21.97 (step @p91 :rule eq-symm :args (@t22 tptp.zero)) % 21.69/21.97 (step @p92 :rule cong :premises (@p91) :args (@t23)) % 21.69/21.97 (step @p93 :rule eq_resolve :premises (@p11 @p92)) % 21.69/21.97 (step @p94 :rule instantiate :premises (@p93) :args (@t86)) % 21.69/21.97 (step @p95 :rule instantiate :premises (@p71) :args ((@list tptp.one @t58))) % 21.69/21.97 (step @p96 :rule eq-symm :args (@t37 tptp.one)) % 21.69/21.97 (step @p97 :rule cong :premises (@p96) :args (@t38)) % 21.69/21.97 (step @p98 :rule eq_resolve :premises (@p15 @p97)) % 21.69/21.97 (step @p99 :rule instantiate :premises (@p98) :args (@t82)) % 21.69/21.97 (step @p100 :rule instantiate :premises (@p75) :args ((@list @t83))) % 21.69/21.97 (step @p101 :rule instantiate :premises (@p89) :args (@t88)) % 21.69/21.97 (step @p102 :rule instantiate :premises (@p50) :args (@t90)) % 21.69/21.97 (step @p103 :rule eq-symm :args (@t10 @t1)) % 21.69/21.97 (step @p104 :rule cong :premises (@p103) :args (@t11)) % 21.69/21.97 (step @p105 :rule eq_resolve :premises (@p4 @p104)) % 21.69/21.97 (step @p106 :rule instantiate :premises (@p105) :args (@t90)) % 21.69/21.97 (step @p107 :rule instantiate :premises (@p2) :args ((@list @t67 @t83 @t59))) % 21.69/21.97 (step @p108 :rule instantiate :premises (@p50) :args (@t88)) % 21.69/21.97 (step @p109 :rule instantiate :premises (@p75) :args ((@list @t66))) % 21.69/21.97 (step @p110 :rule eq-symm :args (@t92 @t93)) % 21.69/21.97 (step @p111 :rule cong :premises (@p60 @p110) :args ((=> @t76 @t94))) % 21.69/21.97 (assume-push @p408 @t76) % 21.69/21.97 (step @p113 :rule instantiate :premises (@p58) :args (@t88)) % 21.69/21.97 (step-pop @p409 :rule scope :premises (@p113)) % 21.69/21.97 (step @p114 :rule process_scope :premises (@p409) :args (@t94)) % 21.69/21.97 (step @p116 :rule eq_resolve :premises (@p114 @p111)) % 21.69/21.97 (step @p117 :rule implies_elim :premises (@p116)) % 21.69/21.97 (step @p118 :rule chain_m_resolution :premises (@p117 @p58) :args (@t95 @t80 @t81)) % 21.69/21.97 (step @p119 :rule eq-symm :args (@t20 tptp.zero)) % 21.69/21.97 (step @p120 :rule cong :premises (@p119) :args (@t21)) % 21.69/21.97 (step @p121 :rule eq_resolve :premises (@p10 @p120)) % 21.69/21.97 (step @p122 :rule instantiate :premises (@p121) :args ((@list @t63))) % 21.69/21.97 (step @p123 :rule instantiate :premises (@p98) :args (@t88)) % 21.69/21.97 (step @p124 :rule instantiate :premises (@p1) :args ((@list @t89 @t63))) % 21.69/21.97 (step @p125 :rule instantiate :premises (@p23) :args ((@list @t62 @t61))) % 21.69/21.97 (step @p126 :rule instantiate :premises (@p75) :args ((@list @t92))) % 21.69/21.97 (step @p127 :rule instantiate :premises (@p54) :args ((@list @t96))) % 21.69/21.97 (step @p128 :rule instantiate :premises (@p121) :args ((@list @t93))) % 21.69/21.97 (step @p129 :rule instantiate :premises (@p98) :args ((@list @t74))) % 21.69/21.97 (step @p130 :rule instantiate :premises (@p93) :args (@t99)) % 21.69/21.97 (step @p131 :rule instantiate :premises (@p75) :args (@t99)) % 21.69/21.97 (step @p132 :rule instantiate :premises (@p50) :args (@t99)) % 21.69/21.97 (step @p133 :rule eq-symm :args (@t101 @t102)) % 21.69/21.97 (step @p134 :rule cong :premises (@p60 @p133) :args ((=> @t76 @t103))) % 21.69/21.97 (assume-push @p410 @t76) % 21.69/21.97 (step @p136 :rule instantiate :premises (@p58) :args (@t99)) % 21.69/21.97 (step-pop @p411 :rule scope :premises (@p136)) % 21.69/21.97 (step @p137 :rule process_scope :premises (@p411) :args (@t103)) % 21.69/21.97 (step @p139 :rule eq_resolve :premises (@p137 @p134)) % 21.69/21.97 (step @p140 :rule implies_elim :premises (@p139)) % 21.69/21.97 (step @p141 :rule chain_m_resolution :premises (@p140 @p58) :args (@t104 @t80 @t81)) % 21.69/21.97 (step @p142 :rule instantiate :premises (@p89) :args (@t99)) % 21.69/21.97 (step @p143 :rule instantiate :premises (@p98) :args (@t99)) % 21.69/21.97 (step @p144 :rule instantiate :premises (@p9) :args ((@list @t101 @t100 @t98))) % 21.69/21.97 (step @p145 :rule instantiate :premises (@p9) :args ((@list @t92 @t91 @t75))) % 21.69/21.97 (step @p146 :rule instantiate :premises (@p8) :args ((@list @t101 @t98 tptp.zero))) % 21.69/21.97 (step @p147 :rule instantiate :premises (@p121) :args ((@list @t67))) % 21.69/21.97 (step @p148 :rule instantiate :premises (@p9) :args ((@list @t108 @t106 @t89))) % 21.69/21.97 (step @p149 :rule instantiate :premises (@p9) :args ((@list @t89 @t63 @t66))) % 21.69/21.97 (step @p150 :rule instantiate :premises (@p1) :args ((@list @t109 @t75))) % 21.69/21.97 (step @p151 :rule instantiate :premises (@p8) :args ((@list @t96 @t75 @t112))) % 21.69/21.97 (step @p152 :rule instantiate :premises (@p8) :args ((@list @t108 @t59 tptp.zero))) % 21.69/21.97 (step @p153 :rule instantiate :premises (@p9) :args ((@list @t59 tptp.one @t66))) % 21.69/21.97 (step @p154 :rule instantiate :premises (@p5) :args ((@list @t67 @t59 @t98))) % 21.69/21.97 (step @p155 :rule instantiate :premises (@p8) :args ((@list @t92 @t87 tptp.zero))) % 21.69/21.97 (step @p156 :rule instantiate :premises (@p50) :args ((@list @t91))) % 21.69/21.97 (assume-push @p412 @t65) % 21.69/21.97 (assume-push @p413 @t114) % 21.69/21.97 (assume-push @p414 @t115) % 21.69/21.97 (assume-push @p415 @t79) % 21.69/21.97 (assume-push @p416 @t116) % 21.69/21.97 (assume-push @p417 @t117) % 21.69/21.97 (assume-push @p418 @t118) % 21.69/21.97 (assume-push @p419 @t85) % 21.69/21.97 (assume-push @p420 @t120) % 21.69/21.97 (assume-push @p421 @t121) % 21.69/21.97 (assume-push @p422 @t123) % 21.69/21.97 (assume-push @p423 @t125) % 21.69/21.97 (assume-push @p424 @t126) % 21.69/21.97 (assume-push @p425 @t128) % 21.69/21.97 (assume-push @p426 @t130) % 21.69/21.97 (assume-push @p427 @t131) % 21.69/21.97 (assume-push @p428 @t134) % 21.69/21.97 (assume-push @p429 @t136) % 21.69/21.97 (assume-push @p430 @t138) % 21.69/21.97 (assume-push @p431 @t95) % 21.69/21.97 (assume-push @p432 @t139) % 21.69/21.97 (assume-push @p433 @t141) % 21.69/21.97 (assume-push @p434 @t143) % 21.69/21.97 (assume-push @p435 @t144) % 21.69/21.97 (assume-push @p436 @t145) % 21.69/21.97 (assume-push @p437 @t147) % 21.69/21.97 (assume-push @p438 @t148) % 21.69/21.97 (assume-push @p439 @t150) % 21.69/21.97 (assume-push @p440 @t152) % 21.69/21.97 (assume-push @p441 @t153) % 21.69/21.97 (assume-push @p442 @t155) % 21.69/21.97 (assume-push @p443 @t104) % 21.69/21.97 (assume-push @p444 @t157) % 21.69/21.97 (assume-push @p445 @t159) % 21.69/21.97 (assume-push @p446 @t162) % 21.69/21.97 (assume-push @p447 @t165) % 21.69/21.97 (assume-push @p448 @t168) % 21.69/21.97 (assume-push @p449 @t170) % 21.69/21.97 (assume-push @p450 @t174) % 21.69/21.97 (assume-push @p451 @t178) % 21.69/21.97 (assume-push @p452 @t180) % 21.69/21.97 (assume-push @p453 @t184) % 21.69/21.97 (assume-push @p454 @t186) % 21.69/21.97 (assume-push @p455 @t190) % 21.69/21.97 (assume-push @p456 @t193) % 21.69/21.97 (assume-push @p457 @t197) % 21.69/21.97 (assume-push @p458 @t198) % 21.69/21.97 (step @p204 :rule symm :premises (@p109)) % 21.69/21.97 (step @p205 :rule refl :args (@t66)) % 21.69/21.97 (step @p206 :rule symm :premises (@p99)) % 21.69/21.97 (step @p207 :rule refl :args (@t67)) % 21.69/21.97 (step @p81 :rule instantiate :premises (@p58) :args (@t82)) % 21.69/21.97 (step @p208 :rule symm :premises (@p100)) % 21.69/21.97 (step @p209 :rule refl :args (tptp.one)) % 21.69/21.97 (step @p210 :rule cong :premises (@p209 @p86) :args (@t89)) % 21.69/21.97 (step @p211 :rule symm :premises (@p106)) % 21.69/21.97 (step @p212 :rule trans :premises (@p210 @p208 @p81)) % 21.69/21.97 (step @p213 :rule cong :premises (@p209 @p212) :args (@t199)) % 21.69/21.97 (step @p214 :rule cong :premises (@p213 @p213) :args ((tptp.addition @t199 @t199))) % 21.69/21.97 (step @p215 :rule symm :premises (@p213)) % 21.69/21.97 (step @p216 :rule symm :premises (@p210)) % 21.69/21.97 (step @p217 :rule trans :premises (@p100 @p216 @p215)) % 21.69/21.97 (step @p218 :rule trans :premises (@p213 @p210 @p208 @p81)) % 21.69/21.97 (step @p219 :rule symm :premises (@p218)) % 21.69/21.97 (step @p220 :rule cong :premises (@p219 @p217) :args (@t132)) % 21.69/21.97 (step @p221 :rule trans :premises (@p220 @p214 @p211 @p210 @p208 @p81)) % 21.69/21.97 (step @p222 :rule trans :premises (@p221 @p86)) % 21.69/21.97 (step @p223 :rule cong :premises (@p222 @p207) :args (@t133)) % 21.69/21.97 (step @p224 :rule refl :args (@t59)) % 21.69/21.97 (step @p225 :rule cong :premises (@p224 @p99) :args (@t188)) % 21.69/21.97 (step @p226 :rule trans :premises (@p225 @p107 @p223 @p206)) % 21.69/21.97 (step @p227 :rule cong :premises (@p226 @p205) :args (@t189)) % 21.69/21.97 (step @p228 :rule symm :premises (@p153)) % 21.69/21.97 (step @p63 :rule instantiate :premises (@p58) :args (@t78)) % 21.69/21.97 (step @p229 :rule symm :premises (@p76)) % 21.69/21.97 (step @p230 :rule cong :premises (@p209 @p68) :args (@t87)) % 21.69/21.97 (step @p231 :rule symm :premises (@p101)) % 21.69/21.97 (step @p232 :rule symm :premises (@p156)) % 21.69/21.97 (step @p233 :rule symm :premises (@p230)) % 21.69/21.97 (step @p234 :rule trans :premises (@p68 @p76 @p233)) % 21.69/21.97 (step @p235 :rule cong :premises (@p234) :args ((tptp.antidomain @t61))) % 21.69/21.97 (step @p236 :rule cong :premises (@p63) :args (@t109)) % 21.69/21.97 (step @p237 :rule trans :premises (@p236 @p235)) % 21.69/21.97 (step @p238 :rule symm :premises (@p126)) % 21.69/21.97 (step @p239 :rule cong :premises (@p209 @p118) :args (@t96)) % 21.69/21.97 (step @p240 :rule trans :premises (@p239 @p238)) % 21.69/21.97 (step @p241 :rule cong :premises (@p240 @p237) :args ((tptp.multiplication @t96 @t109))) % 21.69/21.97 (step @p242 :rule symm :premises (@p236)) % 21.69/21.97 (step @p243 :rule trans :premises (@p229 @p63)) % 21.69/21.97 (step @p244 :rule cong :premises (@p243) :args (@t111)) % 21.69/21.97 (step @p245 :rule symm :premises (@p72)) % 21.69/21.97 (step @p246 :rule trans :premises (@p245 @p244 @p242)) % 21.69/21.97 (step @p247 :rule refl :args (@t96)) % 21.69/21.97 (step @p248 :rule cong :premises (@p247 @p246) :args (@t181)) % 21.69/21.97 (step @p249 :rule trans :premises (@p248 @p241 @p232)) % 21.69/21.97 (step @p250 :rule trans :premises (@p76 @p233)) % 21.69/21.97 (step @p251 :rule symm :premises (@p123)) % 21.69/21.97 (step @p252 :rule cong :premises (@p251 @p63) :args (@t164)) % 21.69/21.97 (step @p253 :rule symm :premises (@p145)) % 21.69/21.97 (step @p254 :rule symm :premises (@p250)) % 21.69/21.97 (step @p255 :rule refl :args (@t91)) % 21.69/21.97 (step @p256 :rule cong :premises (@p255 @p254) :args (@t135)) % 21.69/21.97 (step @p257 :rule symm :premises (@p128)) % 21.69/21.97 (step @p258 :rule symm :premises (@p51)) % 21.69/21.97 (step @p259 :rule trans :premises (@p55 @p258)) % 21.69/21.97 (step @p260 :rule refl :args (@t93)) % 21.69/21.97 (step @p261 :rule cong :premises (@p260 @p259) :args ((tptp.multiplication @t93 @t73))) % 21.69/21.97 (step @p262 :rule symm :premises (@p259)) % 21.69/21.97 (step @p113 :rule instantiate :premises (@p58) :args (@t88)) % 21.69/21.97 (step @p263 :rule cong :premises (@p113 @p262) :args (@t194)) % 21.69/21.97 (step @p264 :rule trans :premises (@p263 @p261 @p257 @p108 @p256)) % 21.69/21.97 (step @p265 :rule refl :args (@t92)) % 21.69/21.97 (step @p266 :rule cong :premises (@p265 @p254) :args (@t195)) % 21.69/21.97 (step @p267 :rule cong :premises (@p266 @p264) :args (@t196)) % 21.69/21.97 (step @p268 :rule trans :premises (@p76 @p233 @p101)) % 21.69/21.97 (step @p269 :rule cong :premises (@p265 @p268) :args (@t163)) % 21.69/21.97 (step @p270 :rule trans :premises (@p266 @p269 @p155 @p267 @p253 @p252 @p230 @p229)) % 21.69/21.97 (step @p271 :rule symm :premises (@p266)) % 21.69/21.97 (step @p272 :rule refl :args (@t75)) % 21.69/21.97 (step @p273 :rule cong :premises (@p240 @p272) :args (@t182)) % 21.69/21.97 (step @p274 :rule trans :premises (@p273 @p271 @p270 @p250)) % 21.69/21.97 (step @p275 :rule cong :premises (@p274 @p249) :args (@t183)) % 21.69/21.97 (step @p276 :rule symm :premises (@p246)) % 21.69/21.97 (step @p277 :rule cong :premises (@p272 @p276) :args (@t179)) % 21.69/21.97 (step @p278 :rule trans :premises (@p129 @p150 @p277)) % 21.69/21.97 (step @p279 :rule cong :premises (@p247 @p278) :args (@t146)) % 21.69/21.97 (step @p280 :rule symm :premises (@p239)) % 21.69/21.97 (step @p281 :rule cong :premises (@p234) :args (@t97)) % 21.69/21.97 (step @p282 :rule trans :premises (@p281 @p118 @p126 @p280 @p127 @p279 @p151 @p275 @p231 @p230 @p229 @p63)) % 21.69/21.97 (step @p283 :rule refl :args (@t62)) % 21.69/21.97 (step @p284 :rule cong :premises (@p283 @p282) :args (@t98)) % 21.69/21.97 (step @p285 :rule symm :premises (@p131)) % 21.69/21.97 (step @p286 :rule refl :args (@t98)) % 21.69/21.97 (step @p287 :rule symm :premises (@p143)) % 21.69/21.97 (step @p288 :rule cong :premises (@p287 @p286) :args (@t161)) % 21.69/21.97 (step @p289 :rule symm :premises (@p144)) % 21.69/21.97 (step @p290 :rule refl :args (@t160)) % 21.69/21.97 (step @p291 :rule cong :premises (@p290 @p132) :args ((tptp.addition @t160 tptp.zero))) % 21.69/21.97 (step @p292 :rule symm :premises (@p122)) % 21.69/21.97 (step @p293 :rule refl :args (tptp.zero)) % 21.69/21.97 (step @p294 :rule symm :premises (@p125)) % 21.69/21.97 (step @p136 :rule instantiate :premises (@p58) :args (@t99)) % 21.69/21.97 (step @p295 :rule trans :premises (@p136 @p294)) % 21.69/21.97 (step @p296 :rule cong :premises (@p295 @p293) :args (@t166)) % 21.69/21.97 (step @p297 :rule trans :premises (@p296 @p292)) % 21.69/21.97 (step @p298 :rule cong :premises (@p290 @p297) :args (@t167)) % 21.69/21.97 (step @p299 :rule refl :args (@t101)) % 21.69/21.97 (step @p300 :rule cong :premises (@p299 @p142) :args (@t160)) % 21.69/21.97 (step @p301 :rule symm :premises (@p284)) % 21.69/21.97 (step @p302 :rule symm :premises (@p295)) % 21.69/21.97 (step @p303 :rule cong :premises (@p302 @p301) :args (@t175)) % 21.69/21.97 (step @p304 :rule trans :premises (@p303 @p300 @p146 @p298 @p291 @p289 @p288 @p285 @p284 @p109)) % 21.69/21.97 (step @p305 :rule cong :premises (@p212 @p205) :args (@t176)) % 21.69/21.97 (step @p306 :rule cong :premises (@p305 @p304) :args (@t177)) % 21.69/21.97 (step @p307 :rule symm :premises (@p124)) % 21.69/21.97 (step @p308 :rule symm :premises (@p212)) % 21.69/21.97 (step @p309 :rule refl :args (@t63)) % 21.69/21.97 (step @p310 :rule cong :premises (@p309 @p308) :args (@t64)) % 21.69/21.97 (step @p311 :rule trans :premises (@p45 @p310 @p307)) % 21.69/21.97 (step @p312 :rule cong :premises (@p311 @p205) :args (@t187)) % 21.69/21.97 (step @p313 :rule symm :premises (@p90)) % 21.69/21.97 (step @p314 :rule cong :premises (@p313 @p284) :args ((tptp.multiplication @t119 @t98))) % 21.69/21.97 (step @p315 :rule cong :premises (@p90 @p286) :args (@t191)) % 21.69/21.97 (step @p316 :rule trans :premises (@p315 @p314 @p312 @p149 @p306 @p228 @p227 @p204)) % 21.69/21.97 (step @p317 :rule cong :premises (@p207 @p316) :args (@t192)) % 21.69/21.97 (step @p318 :rule symm :premises (@p154)) % 21.69/21.97 (step @p319 :rule symm :premises (@p77)) % 21.69/21.97 (step @p320 :rule cong :premises (@p319) :args (@t108)) % 21.69/21.97 (step @p321 :rule cong :premises (@p320 @p212) :args (@t172)) % 21.69/21.97 (step @p322 :rule trans :premises (@p313 @p86 @p100 @p216)) % 21.69/21.97 (step @p323 :rule refl :args (@t108)) % 21.69/21.97 (step @p324 :rule cong :premises (@p323 @p322) :args (@t185)) % 21.69/21.97 (step @p325 :rule symm :premises (@p152)) % 21.69/21.97 (step @p326 :rule symm :premises (@p320)) % 21.69/21.97 (step @p327 :rule cong :premises (@p326 @p293) :args (@t169)) % 21.69/21.97 (step @p328 :rule symm :premises (@p94)) % 21.69/21.97 (step @p329 :rule cong :premises (@p293 @p212) :args (@t200)) % 21.69/21.97 (step @p330 :rule trans :premises (@p329 @p328 @p147 @p327)) % 21.69/21.97 (step @p331 :rule cong :premises (@p323 @p212) :args (@t172)) % 21.69/21.97 (step @p332 :rule cong :premises (@p331 @p330) :args ((tptp.addition @t172 @t200))) % 21.69/21.97 (step @p333 :rule symm :premises (@p329)) % 21.69/21.97 (step @p334 :rule symm :premises (@p102)) % 21.69/21.97 (step @p335 :rule refl :args (@t89)) % 21.69/21.97 (step @p336 :rule cong :premises (@p308) :args ((tptp.antidomain @t59))) % 21.69/21.97 (step @p337 :rule trans :premises (@p208 @p81)) % 21.69/21.97 (step @p338 :rule cong :premises (@p337) :args (@t106)) % 21.69/21.97 (step @p339 :rule trans :premises (@p338 @p336)) % 21.69/21.97 (step @p340 :rule cong :premises (@p339 @p335) :args (@t171)) % 21.69/21.97 (step @p341 :rule trans :premises (@p340 @p334 @p94 @p333)) % 21.69/21.97 (step @p342 :rule refl :args (@t172)) % 21.69/21.97 (step @p343 :rule cong :premises (@p342 @p341) :args (@t173)) % 21.69/21.97 (step @p344 :rule symm :premises (@p338)) % 21.69/21.97 (step @p345 :rule symm :premises (@p336)) % 21.69/21.97 (step @p346 :rule trans :premises (@p345 @p344 @p95)) % 21.69/21.97 (step @p347 :rule cong :premises (@p346 @p335) :args (@t129)) % 21.69/21.97 (step @p348 :rule trans :premises (@p102 @p347 @p148 @p343 @p332 @p325 @p324 @p321)) % 21.69/21.97 (step @p349 :rule cong :premises (@p348 @p286) :args (@t151)) % 21.69/21.97 (step @p350 :rule trans :premises (@p130 @p349 @p318 @p317)) % 21.69/21.97 (step-pop @p459 :rule scope :premises (@p350)) % 21.69/21.97 (step-pop @p460 :rule scope :premises (@p459)) % 21.69/21.97 (step-pop @p461 :rule scope :premises (@p460)) % 21.69/21.97 (step-pop @p462 :rule scope :premises (@p461)) % 21.69/21.97 (step-pop @p463 :rule scope :premises (@p462)) % 21.69/21.97 (step-pop @p464 :rule scope :premises (@p463)) % 21.69/21.97 (step-pop @p465 :rule scope :premises (@p464)) % 21.69/21.97 (step-pop @p466 :rule scope :premises (@p465)) % 21.69/21.97 (step-pop @p467 :rule scope :premises (@p466)) % 21.69/21.97 (step-pop @p468 :rule scope :premises (@p467)) % 21.69/21.97 (step-pop @p469 :rule scope :premises (@p468)) % 21.69/21.97 (step-pop @p470 :rule scope :premises (@p469)) % 21.69/21.97 (step-pop @p471 :rule scope :premises (@p470)) % 21.69/21.97 (step-pop @p472 :rule scope :premises (@p471)) % 21.69/21.97 (step-pop @p473 :rule scope :premises (@p472)) % 21.69/21.97 (step-pop @p474 :rule scope :premises (@p473)) % 21.69/21.97 (step-pop @p475 :rule scope :premises (@p474)) % 21.69/21.97 (step-pop @p476 :rule scope :premises (@p475)) % 21.69/21.97 (step-pop @p477 :rule scope :premises (@p476)) % 21.69/21.97 (step-pop @p478 :rule scope :premises (@p477)) % 21.69/21.97 (step-pop @p479 :rule scope :premises (@p478)) % 21.69/21.97 (step-pop @p480 :rule scope :premises (@p479)) % 21.69/21.97 (step-pop @p481 :rule scope :premises (@p480)) % 21.69/21.97 (step-pop @p482 :rule scope :premises (@p481)) % 21.69/21.97 (step-pop @p483 :rule scope :premises (@p482)) % 21.69/21.97 (step-pop @p484 :rule scope :premises (@p483)) % 21.69/21.97 (step-pop @p485 :rule scope :premises (@p484)) % 21.69/21.97 (step-pop @p486 :rule scope :premises (@p485)) % 21.69/21.97 (step-pop @p487 :rule scope :premises (@p486)) % 21.69/21.97 (step-pop @p488 :rule scope :premises (@p487)) % 21.69/21.97 (step-pop @p489 :rule scope :premises (@p488)) % 21.69/21.97 (step-pop @p490 :rule scope :premises (@p489)) % 21.69/21.97 (step-pop @p491 :rule scope :premises (@p490)) % 21.69/21.97 (step-pop @p492 :rule scope :premises (@p491)) % 21.69/21.97 (step-pop @p493 :rule scope :premises (@p492)) % 21.69/21.97 (step-pop @p494 :rule scope :premises (@p493)) % 21.69/21.97 (step-pop @p495 :rule scope :premises (@p494)) % 21.69/21.97 (step-pop @p496 :rule scope :premises (@p495)) % 21.69/21.97 (step-pop @p497 :rule scope :premises (@p496)) % 21.69/21.97 (step-pop @p498 :rule scope :premises (@p497)) % 21.69/21.97 (step-pop @p499 :rule scope :premises (@p498)) % 21.69/21.97 (step-pop @p500 :rule scope :premises (@p499)) % 21.69/21.97 (step-pop @p501 :rule scope :premises (@p500)) % 21.69/21.97 (step-pop @p502 :rule scope :premises (@p501)) % 21.69/21.97 (step-pop @p503 :rule scope :premises (@p502)) % 21.69/21.97 (step-pop @p504 :rule scope :premises (@p503)) % 21.69/21.97 (step-pop @p505 :rule scope :premises (@p504)) % 21.69/21.97 (step @p351 :rule process_scope :premises (@p505) :args (@t68)) % 21.69/21.97 (step @p399 :rule implies_elim :premises (@p351)) % 21.69/21.97 (step @p400 :rule cnf_and_neg :args (@t201)) % 21.69/21.97 (step @p401 :rule resolution :premises (@p400 @p399) :args (true @t201)) % 21.69/21.97 (step @p402 :rule reordering :premises (@p401) :args ((or @t69 @t68 (not @t114) (not @t115) (not @t79) (not @t116) (not @t117) (not @t118) (not @t85) (not @t120) (not @t121) (not @t123) (not @t125) (not @t126) (not @t128) (not @t130) (not @t131) (not @t134) (not @t136) (not @t138) (not @t95) (not @t139) (not @t141) (not @t143) (not @t144) (not @t145) (not @t147) (not @t148) (not @t150) (not @t152) (not @t153) (not @t155) (not @t104) (not @t157) (not @t159) (not @t162) (not @t165) (not @t168) (not @t170) (not @t174) (not @t178) (not @t180) (not @t184) (not @t186) (not @t190) (not @t193) (not @t197) (not @t198)))) % 21.69/21.97 (step @p403 false :rule chain_m_resolution :premises (@p402 @p156 @p155 @p154 @p153 @p152 @p151 @p150 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p118 @p109 @p108 @p107 @p106 @p102 @p101 @p100 @p99 @p95 @p94 @p90 @p86 @p77 @p76 @p72 @p68 @p55 @p51 @p47 @p45) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true false) (@list @t198 @t197 @t193 @t190 @t186 @t184 @t180 @t178 @t174 @t170 @t168 @t165 @t162 @t159 @t157 @t104 @t155 @t153 @t152 @t150 @t148 @t147 @t145 @t144 @t143 @t141 @t139 @t95 @t138 @t136 @t134 @t131 @t130 @t128 @t126 @t125 @t123 @t121 @t120 @t85 @t118 @t117 @t116 @t79 @t115 @t114 @t68 @t65))) % 21.69/21.97 ) % 21.69/21.97 % SZS output end Proof % 21.69/21.97 % cvc5 exiting %------------------------------------------------------------------------------