%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE068+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 : n004.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 08:28:14 AM UTC 2026 % Result : Theorem 17.63s 17.83s % Output : Proof 17.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE068+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.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 05:12:22 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 17.63/17.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 17.63/17.83 --- Run --no-e-matching --full-saturate-quant at 6... % 17.63/17.83 % SZS status Theorem % 17.63/17.83 % SZS output start Proof % 17.63/17.83 ( % 17.63/17.83 (declare-sort $$unsorted 0) % 17.63/17.83 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 17.63/17.83 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 17.63/17.83 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 17.63/17.83 (declare-const tptp.zero $$unsorted) % 17.63/17.83 (declare-const tptp.one $$unsorted) % 17.63/17.83 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 17.63/17.83 (define @t1 () (@var "A" $$unsorted)) % 17.63/17.83 (define @t2 () (@var "B" $$unsorted)) % 17.63/17.83 (define @t3 () (tptp.addition @t1 @t2)) % 17.63/17.83 (define @t4 () (@list @t1 @t2)) % 17.63/17.83 (define @t5 () (@var "C" $$unsorted)) % 17.63/17.83 (define @t6 () (tptp.addition @t2 @t5)) % 17.63/17.83 (define @t7 () (tptp.addition @t1 tptp.zero)) % 17.63/17.83 (define @t8 () (@list @t1)) % 17.63/17.83 (define @t9 () (forall @t8 (= @t7 @t1))) % 17.63/17.83 (define @t10 () (tptp.multiplication @t1 @t2)) % 17.63/17.83 (define @t11 () (tptp.multiplication @t2 @t5)) % 17.63/17.83 (define @t12 () (@list @t1 @t2 @t5)) % 17.63/17.83 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 17.63/17.83 (define @t14 () (forall @t8 (= @t13 @t1))) % 17.63/17.83 (define @t15 () (tptp.multiplication tptp.one @t1)) % 17.63/17.83 (define @t16 () (forall @t8 (= @t15 @t1))) % 17.63/17.83 (define @t17 () (tptp.multiplication @t1 @t5)) % 17.63/17.83 (define @t18 () (@var "X0" $$unsorted)) % 17.63/17.83 (define @t19 () (tptp.domain @t18)) % 17.63/17.83 (define @t20 () (tptp.multiplication @t19 @t18)) % 17.63/17.83 (define @t21 () (tptp.addition @t18 @t20)) % 17.63/17.83 (define @t22 () (@list @t18)) % 17.63/17.83 (define @t23 () (forall @t22 (= @t21 @t20))) % 17.63/17.83 (define @t24 () (@var "X1" $$unsorted)) % 17.63/17.83 (define @t25 () (tptp.domain @t24)) % 17.63/17.83 (define @t26 () (@list @t18 @t24)) % 17.63/17.83 (define @t27 () (tptp.addition @t19 tptp.one)) % 17.63/17.83 (define @t28 () (forall @t22 (= @t27 tptp.one))) % 17.63/17.83 (define @t29 () (tptp.multiplication @t19 @t25)) % 17.63/17.83 (define @t30 () (tptp.domain @t29)) % 17.63/17.83 (define @t31 () (forall @t26 (= @t30 @t29))) % 17.63/17.83 (define @t32 () (not @t31)) % 17.63/17.83 (define @t33 () (forall @t26 (= @t29 @t30))) % 17.63/17.83 (define @t34 () (@quantifiers_skolemize @t33 0)) % 17.63/17.83 (define @t35 () (@list @t34)) % 17.63/17.83 (define @t36 () (@quantifiers_skolemize @t33 1)) % 17.63/17.83 (define @t37 () (@list @t36)) % 17.63/17.83 (define @t38 () (tptp.domain @t34)) % 17.63/17.83 (define @t39 () (@list @t38)) % 17.63/17.83 (define @t40 () (tptp.domain @t36)) % 17.63/17.83 (define @t41 () (tptp.multiplication @t38 @t40)) % 17.63/17.83 (define @t42 () (@list @t41)) % 17.63/17.83 (define @t43 () (tptp.domain @t41)) % 17.63/17.83 (define @t44 () (@list @t43)) % 17.63/17.83 (define @t45 () (@list tptp.one @t41)) % 17.63/17.83 (define @t46 () (@list @t38 @t41)) % 17.63/17.83 (define @t47 () (@list tptp.one)) % 17.63/17.83 (define @t48 () (tptp.domain tptp.one)) % 17.63/17.83 (define @t49 () (@list @t40 @t41)) % 17.63/17.83 (define @t50 () (tptp.domain @t38)) % 17.63/17.83 (define @t51 () (tptp.domain @t40)) % 17.63/17.83 (define @t52 () (tptp.multiplication @t43 @t43)) % 17.63/17.83 (define @t53 () (tptp.multiplication @t50 @t43)) % 17.63/17.83 (define @t54 () (tptp.addition @t53 @t52)) % 17.63/17.83 (define @t55 () (tptp.addition @t50 @t43)) % 17.63/17.83 (define @t56 () (tptp.multiplication @t55 @t43)) % 17.63/17.83 (define @t57 () (= @t56 @t54)) % 17.63/17.83 (define @t58 () (not @t57)) % 17.63/17.83 (define @t59 () (tptp.multiplication @t38 @t43)) % 17.63/17.83 (define @t60 () (tptp.multiplication @t38 @t41)) % 17.63/17.83 (define @t61 () (tptp.addition @t60 @t59)) % 17.63/17.83 (define @t62 () (= (tptp.multiplication @t38 (tptp.addition @t41 @t43)) @t61)) % 17.63/17.83 (define @t63 () (not @t62)) % 17.63/17.83 (define @t64 () (tptp.addition @t51 @t43)) % 17.63/17.83 (define @t65 () (tptp.multiplication @t38 @t64)) % 17.63/17.83 (define @t66 () (= @t65 (tptp.addition (tptp.multiplication @t38 @t51) @t59))) % 17.63/17.83 (define @t67 () (not @t66)) % 17.63/17.83 (define @t68 () (tptp.multiplication @t43 tptp.one)) % 17.63/17.83 (define @t69 () (tptp.multiplication @t43 @t41)) % 17.63/17.83 (define @t70 () (tptp.addition @t69 @t68)) % 17.63/17.83 (define @t71 () (tptp.addition @t41 tptp.one)) % 17.63/17.83 (define @t72 () (= (tptp.multiplication @t43 @t71) @t70)) % 17.63/17.83 (define @t73 () (not @t72)) % 17.63/17.83 (define @t74 () (tptp.addition @t48 @t43)) % 17.63/17.83 (define @t75 () (tptp.multiplication @t74 @t43)) % 17.63/17.83 (define @t76 () (= @t75 (tptp.addition (tptp.multiplication @t48 @t43) @t52))) % 17.63/17.83 (define @t77 () (not @t76)) % 17.63/17.83 (define @t78 () (tptp.addition tptp.one @t41)) % 17.63/17.83 (define @t79 () (tptp.domain @t78)) % 17.63/17.83 (define @t80 () (= @t79 @t74)) % 17.63/17.83 (define @t81 () (not @t80)) % 17.63/17.83 (define @t82 () (tptp.addition tptp.one @t38)) % 17.63/17.83 (define @t83 () (tptp.addition @t82 @t41)) % 17.63/17.83 (define @t84 () (tptp.addition @t38 @t41)) % 17.63/17.83 (define @t85 () (= (tptp.addition tptp.one @t84) @t83)) % 17.63/17.83 (define @t86 () (not @t85)) % 17.63/17.83 (define @t87 () (= @t71 @t78)) % 17.63/17.83 (define @t88 () (not @t87)) % 17.63/17.83 (define @t89 () (tptp.multiplication @t55 @t41)) % 17.63/17.83 (define @t90 () (= @t89 (tptp.addition (tptp.multiplication @t50 @t41) @t69))) % 17.63/17.83 (define @t91 () (not @t90)) % 17.63/17.83 (define @t92 () (tptp.multiplication @t38 @t38)) % 17.63/17.83 (define @t93 () (tptp.multiplication tptp.one @t38)) % 17.63/17.83 (define @t94 () (tptp.multiplication @t82 @t38)) % 17.63/17.83 (define @t95 () (= @t94 (tptp.addition @t93 @t92))) % 17.63/17.83 (define @t96 () (not @t95)) % 17.63/17.83 (define @t97 () (tptp.addition @t38 tptp.one)) % 17.63/17.83 (define @t98 () (= @t97 @t82)) % 17.63/17.83 (define @t99 () (not @t98)) % 17.63/17.83 (define @t100 () (tptp.multiplication tptp.one @t40)) % 17.63/17.83 (define @t101 () (tptp.multiplication @t97 @t40)) % 17.63/17.83 (define @t102 () (= @t101 (tptp.addition @t41 @t100))) % 17.63/17.83 (define @t103 () (not @t102)) % 17.63/17.83 (define @t104 () (tptp.addition @t40 @t41)) % 17.63/17.83 (define @t105 () (tptp.domain @t104)) % 17.63/17.83 (define @t106 () (= @t105 @t64)) % 17.63/17.83 (define @t107 () (not @t106)) % 17.63/17.83 (define @t108 () (tptp.multiplication @t92 @t40)) % 17.63/17.83 (define @t109 () (= @t60 @t108)) % 17.63/17.83 (define @t110 () (not @t109)) % 17.63/17.83 (define @t111 () (tptp.addition @t41 @t40)) % 17.63/17.83 (define @t112 () (= @t104 @t111)) % 17.63/17.83 (define @t113 () (not @t112)) % 17.63/17.83 (define @t114 () (tptp.addition @t48 tptp.one)) % 17.63/17.83 (define @t115 () (= @t114 (tptp.addition tptp.one @t48))) % 17.63/17.83 (define @t116 () (not @t115)) % 17.63/17.83 (define @t117 () (tptp.multiplication @t38 tptp.one)) % 17.63/17.83 (define @t118 () (tptp.addition @t40 tptp.one)) % 17.63/17.83 (define @t119 () (tptp.multiplication @t38 @t118)) % 17.63/17.83 (define @t120 () (= @t119 (tptp.addition @t41 @t117))) % 17.63/17.83 (define @t121 () (not @t120)) % 17.63/17.83 (define @t122 () (tptp.multiplication @t48 tptp.one)) % 17.63/17.83 (define @t123 () (= @t48 @t122)) % 17.63/17.83 (define @t124 () (not @t123)) % 17.63/17.83 (define @t125 () (tptp.domain @t84)) % 17.63/17.83 (define @t126 () (= @t125 @t55)) % 17.63/17.83 (define @t127 () (not @t126)) % 17.63/17.83 (define @t128 () (= tptp.one @t114)) % 17.63/17.83 (define @t129 () (not @t128)) % 17.63/17.83 (define @t130 () (tptp.addition tptp.one @t122)) % 17.63/17.83 (define @t131 () (= @t122 @t130)) % 17.63/17.83 (define @t132 () (not @t131)) % 17.63/17.83 (define @t133 () (tptp.addition @t41 @t38)) % 17.63/17.83 (define @t134 () (= @t84 @t133)) % 17.63/17.83 (define @t135 () (not @t134)) % 17.63/17.83 (define @t136 () (tptp.multiplication tptp.one @t43)) % 17.63/17.83 (define @t137 () (tptp.multiplication tptp.one @t41)) % 17.63/17.83 (define @t138 () (tptp.domain @t137)) % 17.63/17.83 (define @t139 () (= @t138 (tptp.domain @t136))) % 17.63/17.83 (define @t140 () (not @t139)) % 17.63/17.83 (define @t141 () (tptp.domain @t43)) % 17.63/17.83 (define @t142 () (tptp.multiplication @t141 @t43)) % 17.63/17.83 (define @t143 () (tptp.addition @t43 @t142)) % 17.63/17.83 (define @t144 () (= @t142 @t143)) % 17.63/17.83 (define @t145 () (not @t144)) % 17.63/17.83 (define @t146 () (= @t43 @t136)) % 17.63/17.83 (define @t147 () (not @t146)) % 17.63/17.83 (define @t148 () (= @t43 @t68)) % 17.63/17.83 (define @t149 () (not @t148)) % 17.63/17.83 (define @t150 () (tptp.addition @t41 @t69)) % 17.63/17.83 (define @t151 () (= @t69 @t150)) % 17.63/17.83 (define @t152 () (not @t151)) % 17.63/17.83 (define @t153 () (= @t41 @t137)) % 17.63/17.83 (define @t154 () (not @t153)) % 17.63/17.83 (define @t155 () (tptp.multiplication tptp.one @t36)) % 17.63/17.83 (define @t156 () (tptp.domain @t155)) % 17.63/17.83 (define @t157 () (= @t156 (tptp.domain @t100))) % 17.63/17.83 (define @t158 () (not @t157)) % 17.63/17.83 (define @t159 () (= @t40 @t100)) % 17.63/17.83 (define @t160 () (not @t159)) % 17.63/17.83 (define @t161 () (tptp.multiplication tptp.one @t34)) % 17.63/17.83 (define @t162 () (tptp.domain @t161)) % 17.63/17.83 (define @t163 () (= @t162 (tptp.domain @t93))) % 17.63/17.83 (define @t164 () (not @t163)) % 17.63/17.83 (define @t165 () (tptp.multiplication @t50 @t38)) % 17.63/17.83 (define @t166 () (tptp.addition @t38 @t165)) % 17.63/17.83 (define @t167 () (= @t165 @t166)) % 17.63/17.83 (define @t168 () (not @t167)) % 17.63/17.83 (define @t169 () (= @t38 @t93)) % 17.63/17.83 (define @t170 () (not @t169)) % 17.63/17.83 (define @t171 () (= @t38 @t117)) % 17.63/17.83 (define @t172 () (not @t171)) % 17.63/17.83 (define @t173 () (= tptp.one @t118)) % 17.63/17.83 (define @t174 () (not @t173)) % 17.63/17.83 (define @t175 () (= @t36 @t155)) % 17.63/17.83 (define @t176 () (not @t175)) % 17.63/17.83 (define @t177 () (tptp.addition @t36 tptp.zero)) % 17.63/17.83 (define @t178 () (= @t36 @t177)) % 17.63/17.83 (define @t179 () (not @t178)) % 17.63/17.83 (define @t180 () (tptp.addition tptp.zero @t36)) % 17.63/17.83 (define @t181 () (= @t180 @t177)) % 17.63/17.83 (define @t182 () (not @t181)) % 17.63/17.83 (define @t183 () (= tptp.one @t97)) % 17.63/17.83 (define @t184 () (not @t183)) % 17.63/17.83 (define @t185 () (= @t34 @t161)) % 17.63/17.83 (define @t186 () (not @t185)) % 17.63/17.83 (define @t187 () (tptp.addition @t34 tptp.zero)) % 17.63/17.83 (define @t188 () (= @t34 @t187)) % 17.63/17.83 (define @t189 () (not @t188)) % 17.63/17.83 (define @t190 () (tptp.addition tptp.zero @t34)) % 17.63/17.83 (define @t191 () (= @t190 @t187)) % 17.63/17.83 (define @t192 () (not @t191)) % 17.63/17.83 (define @t193 () (= @t41 @t43)) % 17.63/17.83 (define @t194 () (not @t193)) % 17.63/17.83 (define @t195 () (tptp.domain @t190)) % 17.63/17.83 (define @t196 () (tptp.domain @t180)) % 17.63/17.83 (define @t197 () (tptp.addition @t41 @t59)) % 17.63/17.83 (define @t198 () (and @t57 @t58)) % 17.63/17.83 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 17.63/17.83 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 17.63/17.83 (assume @p3 @t9) % 17.63/17.83 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 17.63/17.83 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 17.63/17.83 (assume @p6 @t14) % 17.63/17.83 (assume @p7 @t16) % 17.63/17.83 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t17)))) % 17.63/17.83 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t17 @t11)))) % 17.63/17.83 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 17.63/17.83 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 17.63/17.83 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 17.63/17.83 (assume @p13 @t23) % 17.63/17.83 (assume @p14 (forall @t26 (= (tptp.domain (tptp.multiplication @t18 @t24)) (tptp.domain (tptp.multiplication @t18 @t25))))) % 17.63/17.83 (assume @p15 @t28) % 17.63/17.83 (assume @p16 (= (tptp.domain tptp.zero) tptp.zero)) % 17.63/17.83 (assume @p17 (forall @t26 (= (tptp.domain (tptp.addition @t18 @t24)) (tptp.addition @t19 @t25)))) % 17.63/17.83 (assume @p18 @t32) % 17.63/17.83 (assume @p19 true) % 17.63/17.83 (step @p20 :rule eq-symm :args (@t30 @t29)) % 17.63/17.83 (step @p21 :rule cong :premises (@p20) :args (@t31)) % 17.63/17.83 (step @p22 :rule cong :premises (@p21) :args (@t32)) % 17.63/17.83 (step @p23 :rule eq_resolve :premises (@p18 @p22)) % 17.63/17.83 (step @p24 :rule skolemize :premises (@p23)) % 17.63/17.83 (step @p25 :rule instantiate :premises (@p1) :args ((@list tptp.zero @t34))) % 17.63/17.83 (step @p26 :rule eq-symm :args (@t7 @t1)) % 17.63/17.83 (step @p27 :rule cong :premises (@p26) :args (@t9)) % 17.63/17.83 (step @p28 :rule eq_resolve :premises (@p3 @p27)) % 17.63/17.83 (step @p29 :rule instantiate :premises (@p28) :args (@t35)) % 17.63/17.83 (step @p30 :rule eq-symm :args (@t15 @t1)) % 17.63/17.83 (step @p31 :rule cong :premises (@p30) :args (@t16)) % 17.63/17.83 (step @p32 :rule eq_resolve :premises (@p7 @p31)) % 17.63/17.83 (step @p33 :rule instantiate :premises (@p32) :args (@t35)) % 17.63/17.83 (step @p34 :rule eq-symm :args (@t27 tptp.one)) % 17.63/17.83 (step @p35 :rule cong :premises (@p34) :args (@t28)) % 17.63/17.83 (step @p36 :rule eq_resolve :premises (@p15 @p35)) % 17.63/17.83 (step @p37 :rule instantiate :premises (@p36) :args (@t35)) % 17.63/17.83 (step @p38 :rule instantiate :premises (@p1) :args ((@list tptp.zero @t36))) % 17.63/17.83 (step @p39 :rule instantiate :premises (@p28) :args (@t37)) % 17.63/17.83 (step @p40 :rule instantiate :premises (@p32) :args (@t37)) % 17.63/17.83 (step @p41 :rule instantiate :premises (@p36) :args (@t37)) % 17.63/17.83 (step @p42 :rule eq-symm :args (@t13 @t1)) % 17.63/17.83 (step @p43 :rule cong :premises (@p42) :args (@t14)) % 17.63/17.83 (step @p44 :rule eq_resolve :premises (@p6 @p43)) % 17.63/17.83 (step @p45 :rule instantiate :premises (@p44) :args (@t39)) % 17.63/17.83 (step @p46 :rule instantiate :premises (@p32) :args (@t39)) % 17.63/17.83 (step @p47 :rule eq-symm :args (@t21 @t20)) % 17.63/17.83 (step @p48 :rule cong :premises (@p47) :args (@t23)) % 17.63/17.83 (step @p49 :rule eq_resolve :premises (@p13 @p48)) % 17.63/17.83 (step @p50 :rule instantiate :premises (@p49) :args (@t39)) % 17.63/17.83 (step @p51 :rule instantiate :premises (@p14) :args ((@list tptp.one @t34))) % 17.63/17.83 (step @p52 :rule instantiate :premises (@p32) :args ((@list @t40))) % 17.63/17.83 (step @p53 :rule instantiate :premises (@p14) :args ((@list tptp.one @t36))) % 17.63/17.83 (step @p54 :rule instantiate :premises (@p32) :args (@t42)) % 17.63/17.83 (step @p55 :rule instantiate :premises (@p49) :args (@t42)) % 17.63/17.83 (step @p56 :rule instantiate :premises (@p44) :args (@t44)) % 17.63/17.83 (step @p57 :rule instantiate :premises (@p32) :args (@t44)) % 17.63/17.83 (step @p58 :rule instantiate :premises (@p49) :args (@t44)) % 17.63/17.83 (step @p59 :rule instantiate :premises (@p14) :args (@t45)) % 17.63/17.83 (step @p60 :rule instantiate :premises (@p1) :args (@t46)) % 17.63/17.83 (step @p61 :rule instantiate :premises (@p49) :args (@t47)) % 17.63/17.83 (step @p62 :rule instantiate :premises (@p36) :args (@t47)) % 17.63/17.83 (step @p63 :rule instantiate :premises (@p17) :args (@t46)) % 17.63/17.83 (step @p64 :rule instantiate :premises (@p44) :args ((@list @t48))) % 17.63/17.83 (step @p65 :rule instantiate :premises (@p8) :args ((@list @t38 @t40 tptp.one))) % 17.63/17.83 (step @p66 :rule instantiate :premises (@p1) :args ((@list @t48 tptp.one))) % 17.63/17.83 (step @p67 :rule instantiate :premises (@p1) :args (@t49)) % 17.63/17.83 (step @p68 :rule instantiate :premises (@p5) :args ((@list @t38 @t38 @t40))) % 17.63/17.83 (step @p69 :rule instantiate :premises (@p17) :args (@t49)) % 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cong :premises (@p144) :args (@t125)) % 17.63/17.83 (step @p173 :rule symm :premises (@p63)) % 17.63/17.83 (step @p174 :rule trans :premises (@p173 @p172 @p165 @p164 @p163 @p159)) % 17.63/17.83 (step @p175 :rule cong :premises (@p174 @p133) :args (@t89)) % 17.63/17.83 (step @p176 :rule symm :premises (@p73)) % 17.63/17.83 (step @p177 :rule refl :args (@t69)) % 17.63/17.83 (step @p178 :rule symm :premises (@p166)) % 17.63/17.83 (step @p179 :rule cong :premises (@p178 @p133) :args (@t60)) % 17.63/17.83 (step @p180 :rule symm :premises (@p68)) % 17.63/17.83 (step @p181 :rule symm :premises (@p171)) % 17.63/17.83 (step @p182 :rule trans :premises (@p181 @p180 @p179)) % 17.63/17.83 (step @p183 :rule cong :premises (@p182 @p177) :args (@t150)) % 17.63/17.83 (step @p184 :rule trans :premises (@p55 @p183 @p176 @p175 @p68 @p171)) % 17.63/17.83 (step @p185 :rule cong :premises (@p184 @p131) :args (@t70)) % 17.63/17.83 (step @p186 :rule symm :premises (@p185)) % 17.63/17.83 (step @p187 :rule symm 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@p203 :rule symm :premises (@p59)) % 17.63/17.83 (step @p204 :rule cong :premises (@p57) :args (@t141)) % 17.63/17.83 (step @p205 :rule trans :premises (@p204 @p203 @p202)) % 17.63/17.83 (step @p206 :rule cong :premises (@p205 @p149) :args (@t142)) % 17.63/17.83 (step @p207 :rule symm :premises (@p61)) % 17.63/17.83 (step @p208 :rule symm :premises (@p191)) % 17.63/17.83 (step @p209 :rule trans :premises (@p62 @p66 @p208 @p207 @p190)) % 17.63/17.83 (step @p210 :rule cong :premises (@p209 @p149) :args (@t136)) % 17.63/17.83 (step @p211 :rule trans :premises (@p57 @p210)) % 17.63/17.83 (step @p212 :rule cong :premises (@p211 @p206) :args (@t143)) % 17.63/17.83 (step @p213 :rule symm :premises (@p206)) % 17.63/17.83 (step @p214 :rule trans :premises (@p213 @p58 @p212 @p200 @p199 @p187)) % 17.63/17.83 (step @p215 :rule symm :premises (@p39)) % 17.63/17.83 (step @p216 :rule trans :premises (@p38 @p215)) % 17.63/17.83 (step @p217 :rule cong :premises (@p216) :args (@t196)) % 17.63/17.83 (step @p218 :rule symm :premises (@p38)) % 17.63/17.83 (step @p219 :rule symm :premises (@p40)) % 17.63/17.83 (step @p220 :rule trans :premises (@p219 @p39 @p218)) % 17.63/17.83 (step @p221 :rule cong :premises (@p220) :args (@t156)) % 17.63/17.83 (step @p222 :rule symm :premises (@p53)) % 17.63/17.83 (step @p223 :rule cong :premises (@p52) :args (@t51)) % 17.63/17.83 (step @p224 :rule symm :premises (@p52)) % 17.63/17.83 (step @p225 :rule cong :premises (@p134 @p153) :args (@t101)) % 17.63/17.83 (step @p226 :rule symm :premises (@p70)) % 17.63/17.83 (step @p227 :rule cong :premises (@p133 @p52) :args (@t111)) % 17.63/17.83 (step @p228 :rule trans :premises (@p67 @p227 @p226 @p225 @p224)) % 17.63/17.83 (step @p229 :rule cong :premises (@p228) :args (@t105)) % 17.63/17.83 (step @p230 :rule symm :premises (@p69)) % 17.63/17.83 (step @p231 :rule trans :premises (@p230 @p229 @p223 @p222 @p221 @p217)) % 17.63/17.83 (step @p232 :rule cong :premises (@p140 @p231) :args (@t65)) % 17.63/17.83 (step @p233 :rule symm :premises (@p79)) % 17.63/17.83 (step @p234 :rule refl :args (@t59)) % 17.63/17.83 (step @p235 :rule symm :premises (@p223)) % 17.63/17.83 (step @p236 :rule symm :premises (@p221)) % 17.63/17.83 (step @p237 :rule symm :premises (@p217)) % 17.63/17.83 (step @p238 :rule trans :premises (@p237 @p236 @p53 @p235)) % 17.63/17.83 (step @p239 :rule cong :premises (@p140 @p238) :args (@t41)) % 17.63/17.83 (step @p240 :rule cong :premises (@p239 @p234) :args (@t197)) % 17.63/17.83 (step @p241 :rule trans :premises (@p68 @p171)) % 17.63/17.83 (step @p242 :rule cong :premises (@p241 @p234) :args (@t61)) % 17.63/17.83 (step @p243 :rule trans :premises (@p56 @p150 @p78 @p185)) % 17.63/17.83 (step @p244 :rule cong :premises (@p140 @p243) :args (@t59)) % 17.63/17.83 (step @p245 :rule cong :premises (@p166 @p149) :args (@t53)) % 17.63/17.83 (step @p246 :rule trans :premises (@p245 @p244 @p80 @p242 @p240 @p233 @p232)) % 17.63/17.83 (step @p247 :rule cong :premises (@p246 @p214) :args (@t54)) % 17.63/17.83 (step @p248 :rule trans :premises (@p247 @p186 @p152 @p151 @p131)) % 17.63/17.83 (step @p249 :rule cong :premises (@p174 @p149) :args (@t56)) % 17.63/17.83 (step @p250 :rule trans :premises (@p249 @p244 @p80 @p242 @p240 @p233 @p232)) % 17.63/17.83 (step @p251 :rule cong :premises (@p250 @p248) :args (@t57)) % 17.63/17.83 (step @p302 :rule trans :premises (@p251 @p130)) % 17.63/17.83 (step @p303 :rule false_elim :premises (@p302)) % 17.63/17.83 (step @p304 :rule and_intro :premises (@p81 @p303)) % 17.63/17.83 (step-pop @p401 :rule scope :premises (@p304)) % 17.63/17.83 (step-pop @p402 :rule scope :premises (@p401)) % 17.63/17.83 (step-pop @p403 :rule scope :premises (@p402)) % 17.63/17.83 (step-pop @p404 :rule scope :premises (@p403)) % 17.63/17.83 (step-pop @p405 :rule scope :premises (@p404)) % 17.63/17.83 (step-pop @p406 :rule scope :premises (@p405)) % 17.63/17.83 (step-pop @p407 :rule scope :premises (@p406)) % 17.63/17.83 (step-pop @p408 :rule scope 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17.63/17.83 (step-pop @p425 :rule scope :premises (@p424)) % 17.63/17.83 (step-pop @p426 :rule scope :premises (@p425)) % 17.63/17.83 (step-pop @p427 :rule scope :premises (@p426)) % 17.63/17.83 (step-pop @p428 :rule scope :premises (@p427)) % 17.63/17.83 (step-pop @p429 :rule scope :premises (@p428)) % 17.63/17.83 (step-pop @p430 :rule scope :premises (@p429)) % 17.63/17.83 (step-pop @p431 :rule scope :premises (@p430)) % 17.63/17.83 (step-pop @p432 :rule scope :premises (@p431)) % 17.63/17.83 (step-pop @p433 :rule scope :premises (@p432)) % 17.63/17.83 (step-pop @p434 :rule scope :premises (@p433)) % 17.63/17.83 (step-pop @p435 :rule scope :premises (@p434)) % 17.63/17.83 (step-pop @p436 :rule scope :premises (@p435)) % 17.63/17.83 (step-pop @p437 :rule scope :premises (@p436)) % 17.63/17.83 (step-pop @p438 :rule scope :premises (@p437)) % 17.63/17.83 (step-pop @p439 :rule scope :premises (@p438)) % 17.63/17.83 (step-pop @p440 :rule scope :premises (@p439)) % 17.63/17.83 (step-pop @p441 :rule scope :premises (@p440)) % 17.63/17.83 (step-pop @p442 :rule scope :premises (@p441)) % 17.63/17.83 (step-pop @p443 :rule scope :premises (@p442)) % 17.63/17.83 (step @p305 :rule process_scope :premises (@p443) :args (@t198)) % 17.63/17.83 (step @p349 :rule implies_elim :premises (@p305)) % 17.63/17.83 (step @p350 :rule resolution :premises (@p349 @p256) :args (true @t198)) % 17.63/17.83 (step @p351 :rule not_and :premises (@p350)) % 17.63/17.83 (step @p352 :rule eq_resolve :premises (@p351 @p125)) % 17.63/17.83 (step @p353 false :rule chain_m_resolution :premises (@p352 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p46 @p45 @p41 @p40 @p39 @p38 @p37 @p33 @p29 @p25 @p24) :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 true) (@list @t57 @t62 @t66 @t72 @t76 @t80 @t85 @t87 @t90 @t95 @t98 @t102 @t106 @t109 @t112 @t115 @t120 @t123 @t126 @t128 @t131 @t134 @t139 @t144 @t146 @t148 @t151 @t153 @t157 @t159 @t163 @t167 @t169 @t171 @t173 @t175 @t178 @t181 @t183 @t185 @t188 @t191 @t193))) % 17.63/17.83 ) % 17.63/17.83 % SZS output end Proof % 17.63/17.83 % cvc5 exiting %------------------------------------------------------------------------------