%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE042+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:28:11 AM UTC 2026 % Result : Theorem 1.22s 1.41s % Output : Proof 1.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE042+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 05:11:20 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.22/1.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.22/1.41 % SZS status Theorem % 1.22/1.41 % SZS output start Proof % 1.22/1.41 ( % 1.22/1.41 (declare-sort $$unsorted 0) % 1.22/1.41 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 1.22/1.41 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.41 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.22/1.41 (declare-const tptp.zero $$unsorted) % 1.22/1.41 (declare-const tptp.one $$unsorted) % 1.22/1.41 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.41 (define @t1 () (@var "A" $$unsorted)) % 1.22/1.41 (define @t2 () (@var "B" $$unsorted)) % 1.22/1.41 (define @t3 () (tptp.addition @t1 @t2)) % 1.22/1.41 (define @t4 () (@list @t1 @t2)) % 1.22/1.41 (define @t5 () (@var "C" $$unsorted)) % 1.22/1.41 (define @t6 () (tptp.addition @t2 @t5)) % 1.22/1.41 (define @t7 () (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 1.22/1.41 (define @t8 () (@list @t1)) % 1.22/1.41 (define @t9 () (tptp.addition @t1 @t1)) % 1.22/1.41 (define @t10 () (forall @t8 (= @t9 @t1))) % 1.22/1.41 (define @t11 () (tptp.multiplication @t1 @t2)) % 1.22/1.41 (define @t12 () (tptp.multiplication @t2 @t5)) % 1.22/1.41 (define @t13 () (@list @t1 @t2 @t5)) % 1.22/1.41 (define @t14 () (forall @t13 (= (tptp.multiplication @t1 @t12) (tptp.multiplication @t11 @t5)))) % 1.22/1.41 (define @t15 () (tptp.multiplication @t1 tptp.one)) % 1.22/1.41 (define @t16 () (forall @t8 (= @t15 @t1))) % 1.22/1.41 (define @t17 () (tptp.multiplication tptp.one @t1)) % 1.22/1.41 (define @t18 () (forall @t8 (= @t17 @t1))) % 1.22/1.41 (define @t19 () (tptp.multiplication @t1 @t5)) % 1.22/1.41 (define @t20 () (tptp.leq @t1 @t2)) % 1.22/1.41 (define @t21 () (= @t20 (= @t3 @t2))) % 1.22/1.41 (define @t22 () (forall @t4 @t21)) % 1.22/1.41 (define @t23 () (tptp.star @t1)) % 1.22/1.41 (define @t24 () (tptp.leq (tptp.multiplication @t23 @t5) @t2)) % 1.22/1.41 (define @t25 () (tptp.addition @t11 @t5)) % 1.22/1.41 (define @t26 () (tptp.leq @t25 @t2)) % 1.22/1.41 (define @t27 () (forall @t13 (=> @t26 @t24))) % 1.22/1.41 (define @t28 () (tptp.leq (tptp.multiplication @t5 (tptp.star @t2)) @t1)) % 1.22/1.41 (define @t29 () (tptp.leq @t25 @t1)) % 1.22/1.41 (define @t30 () (forall @t13 (=> @t29 @t28))) % 1.22/1.41 (define @t31 () (@var "X0" $$unsorted)) % 1.22/1.41 (define @t32 () (@var "X1" $$unsorted)) % 1.22/1.41 (define @t33 () (tptp.multiplication (tptp.star (tptp.multiplication @t31 @t32)) @t31)) % 1.22/1.41 (define @t34 () (tptp.multiplication @t31 (tptp.star (tptp.multiplication @t32 @t31)))) % 1.22/1.41 (define @t35 () (tptp.leq @t34 @t33)) % 1.22/1.41 (define @t36 () (tptp.leq @t33 @t34)) % 1.22/1.41 (define @t37 () (@list @t31 @t32)) % 1.22/1.41 (define @t38 () (forall @t37 (and @t36 @t35))) % 1.22/1.41 (define @t39 () (not @t38)) % 1.22/1.41 (define @t40 () (@var "BOUND_VARIABLE_7534" $$unsorted)) % 1.22/1.41 (define @t41 () (@var "BOUND_VARIABLE_7536" $$unsorted)) % 1.22/1.41 (define @t42 () (forall (@list @t40 @t41) (tptp.leq (tptp.multiplication (tptp.star (tptp.multiplication @t40 @t41)) @t40) (tptp.multiplication @t40 (tptp.star (tptp.multiplication @t41 @t40)))))) % 1.22/1.41 (define @t43 () (@quantifiers_skolemize @t42 0)) % 1.22/1.41 (define @t44 () (@quantifiers_skolemize @t42 1)) % 1.22/1.41 (define @t45 () (tptp.multiplication @t44 @t43)) % 1.22/1.41 (define @t46 () (tptp.star @t45)) % 1.22/1.41 (define @t47 () (tptp.multiplication @t43 @t46)) % 1.22/1.41 (define @t48 () (tptp.multiplication @t43 @t44)) % 1.22/1.41 (define @t49 () (tptp.multiplication @t48 @t47)) % 1.22/1.41 (define @t50 () (tptp.addition @t49 @t43)) % 1.22/1.41 (define @t51 () (@list @t50 @t47)) % 1.22/1.41 (define @t52 () (tptp.multiplication @t44 @t47)) % 1.22/1.41 (define @t53 () (@list @t43)) % 1.22/1.41 (define @t54 () (tptp.multiplication @t43 tptp.one)) % 1.22/1.41 (define @t55 () (tptp.multiplication @t46 @t45)) % 1.22/1.41 (define @t56 () (tptp.multiplication @t43 @t55)) % 1.22/1.41 (define @t57 () (tptp.multiplication @t45 @t46)) % 1.22/1.41 (define @t58 () (tptp.addition @t57 @t46)) % 1.22/1.41 (define @t59 () (tptp.multiplication @t43 @t58)) % 1.22/1.41 (define @t60 () (@list @t59 @t54 @t43)) % 1.22/1.41 (define @t61 () (tptp.addition tptp.one @t55)) % 1.22/1.41 (define @t62 () (tptp.multiplication @t43 @t61)) % 1.22/1.41 (define @t63 () (@list @t59 @t54 @t62)) % 1.22/1.41 (define @t64 () (@list @t43 tptp.one @t58)) % 1.22/1.41 (define @t65 () (@list @t50 @t47 @t62)) % 1.22/1.41 (define @t66 () (@list @t43 @t61 @t46)) % 1.22/1.41 (define @t67 () (tptp.addition tptp.one @t58)) % 1.22/1.41 (define @t68 () (tptp.addition tptp.one @t57)) % 1.22/1.41 (define @t69 () (tptp.addition @t68 @t46)) % 1.22/1.41 (define @t70 () (= @t67 @t69)) % 1.22/1.41 (define @t71 () (@list @t46 @t57 tptp.one)) % 1.22/1.41 (define @t72 () (= @t69 @t67)) % 1.22/1.41 (define @t73 () (@list false)) % 1.22/1.41 (define @t74 () (@list @t7)) % 1.22/1.41 (define @t75 () (tptp.addition @t43 @t47)) % 1.22/1.41 (define @t76 () (tptp.addition @t49 @t75)) % 1.22/1.41 (define @t77 () (tptp.addition @t50 @t47)) % 1.22/1.41 (define @t78 () (= @t76 @t77)) % 1.22/1.41 (define @t79 () (@list @t47 @t43 @t49)) % 1.22/1.41 (define @t80 () (= @t77 @t76)) % 1.22/1.41 (define @t81 () (@list @t45)) % 1.22/1.41 (define @t82 () (tptp.addition @t61 @t46)) % 1.22/1.41 (define @t83 () (= @t46 @t82)) % 1.22/1.41 (define @t84 () (tptp.leq @t61 @t46)) % 1.22/1.41 (define @t85 () (= @t84 @t83)) % 1.22/1.41 (define @t86 () (@list false false)) % 1.22/1.41 (define @t87 () (= @t46 @t69)) % 1.22/1.41 (define @t88 () (tptp.leq @t68 @t46)) % 1.22/1.41 (define @t89 () (= @t88 @t87)) % 1.22/1.41 (define @t90 () (= @t52 @t57)) % 1.22/1.41 (define @t91 () (= @t57 @t52)) % 1.22/1.41 (define @t92 () (@list @t14)) % 1.22/1.41 (define @t93 () (tptp.multiplication @t43 @t52)) % 1.22/1.41 (define @t94 () (= @t93 @t49)) % 1.22/1.41 (define @t95 () (@list @t43 @t44 @t47)) % 1.22/1.41 (define @t96 () (= @t49 @t93)) % 1.22/1.41 (define @t97 () (tptp.addition @t47 @t50)) % 1.22/1.41 (define @t98 () (= @t77 @t97)) % 1.22/1.41 (define @t99 () (tptp.addition @t62 @t47)) % 1.22/1.41 (define @t100 () (tptp.multiplication @t43 @t82)) % 1.22/1.41 (define @t101 () (= @t100 @t99)) % 1.22/1.41 (define @t102 () (tptp.addition @t99 @t50)) % 1.22/1.41 (define @t103 () (= (tptp.addition @t62 @t97) @t102)) % 1.22/1.41 (define @t104 () (tptp.addition @t54 @t59)) % 1.22/1.41 (define @t105 () (tptp.multiplication @t43 @t67)) % 1.22/1.41 (define @t106 () (= @t105 @t104)) % 1.22/1.41 (define @t107 () (tptp.addition @t54 @t56)) % 1.22/1.41 (define @t108 () (= @t62 @t107)) % 1.22/1.41 (define @t109 () (tptp.addition @t43 @t62)) % 1.22/1.41 (define @t110 () (= @t109 (tptp.addition @t62 @t43))) % 1.22/1.41 (define @t111 () (tptp.addition @t50 @t104)) % 1.22/1.41 (define @t112 () (= @t111 (tptp.addition (tptp.addition @t50 @t54) @t59))) % 1.22/1.41 (define @t113 () (tptp.addition @t62 @t54)) % 1.22/1.41 (define @t114 () (tptp.addition @t113 @t59)) % 1.22/1.41 (define @t115 () (= (tptp.addition @t62 @t104) @t114)) % 1.22/1.41 (define @t116 () (tptp.addition @t43 @t54)) % 1.22/1.41 (define @t117 () (tptp.addition @t116 @t59)) % 1.22/1.41 (define @t118 () (tptp.addition @t43 @t104)) % 1.22/1.41 (define @t119 () (= @t118 @t117)) % 1.22/1.41 (define @t120 () (tptp.addition @t49 @t54)) % 1.22/1.41 (define @t121 () (tptp.addition @t120 @t59)) % 1.22/1.41 (define @t122 () (= (tptp.addition @t49 @t104) @t121)) % 1.22/1.41 (define @t123 () (tptp.addition @t116 @t56)) % 1.22/1.41 (define @t124 () (= (tptp.addition @t43 @t107) @t123)) % 1.22/1.41 (define @t125 () (tptp.addition @t50 @t43)) % 1.22/1.41 (define @t126 () (tptp.addition @t43 @t43)) % 1.22/1.41 (define @t127 () (= (tptp.addition @t49 @t126) @t125)) % 1.22/1.41 (define @t128 () (= @t43 @t126)) % 1.22/1.41 (define @t129 () (= @t43 @t54)) % 1.22/1.41 (define @t130 () (tptp.addition @t93 @t47)) % 1.22/1.41 (define @t131 () (= (tptp.multiplication @t43 (tptp.addition @t52 @t46)) @t130)) % 1.22/1.41 (define @t132 () (tptp.addition @t93 @t43)) % 1.22/1.41 (define @t133 () (tptp.addition @t132 @t43)) % 1.22/1.41 (define @t134 () (tptp.addition @t49 @t47)) % 1.22/1.41 (define @t135 () (= @t47 @t77)) % 1.22/1.41 (define @t136 () (and @t96 @t91 @t87 @t83 @t98 @t80 @t72 @t101 @t103 @t106 @t108 @t110 @t112 @t115 @t119 @t122 @t124 @t127 @t128 @t129 @t131)) % 1.22/1.41 (define @t137 () (tptp.leq @t50 @t47)) % 1.22/1.41 (define @t138 () (= @t137 @t135)) % 1.22/1.41 (define @t139 () (tptp.leq (tptp.multiplication (tptp.star @t48) @t43) @t47)) % 1.22/1.41 (define @t140 () (not @t137)) % 1.22/1.41 (define @t141 () (or @t140 @t139)) % 1.22/1.41 (define @t142 () (@var "BOUND_VARIABLE_7547" $$unsorted)) % 1.22/1.41 (define @t143 () (@var "BOUND_VARIABLE_7549" $$unsorted)) % 1.22/1.41 (define @t144 () (forall (@list @t142 @t143) (tptp.leq (tptp.multiplication @t142 (tptp.star (tptp.multiplication @t143 @t142))) (tptp.multiplication (tptp.star (tptp.multiplication @t142 @t143)) @t142)))) % 1.22/1.41 (define @t145 () (@quantifiers_skolemize @t144 0)) % 1.22/1.41 (define @t146 () (@quantifiers_skolemize @t144 1)) % 1.22/1.41 (define @t147 () (tptp.multiplication @t146 @t145)) % 1.22/1.41 (define @t148 () (tptp.multiplication @t145 @t146)) % 1.22/1.41 (define @t149 () (tptp.star @t148)) % 1.22/1.41 (define @t150 () (tptp.multiplication @t149 @t145)) % 1.22/1.41 (define @t151 () (tptp.multiplication @t149 @t148)) % 1.22/1.41 (define @t152 () (tptp.addition tptp.one @t151)) % 1.22/1.41 (define @t153 () (tptp.multiplication @t152 @t145)) % 1.22/1.41 (define @t154 () (@list @t153 @t150)) % 1.22/1.41 (define @t155 () (@list @t148)) % 1.22/1.41 (define @t156 () (tptp.addition @t152 @t149)) % 1.22/1.41 (define @t157 () (= @t149 @t156)) % 1.22/1.41 (define @t158 () (tptp.leq @t152 @t149)) % 1.22/1.41 (define @t159 () (= @t158 @t157)) % 1.22/1.41 (define @t160 () (= @t150 (tptp.addition @t153 @t150))) % 1.22/1.41 (define @t161 () (tptp.leq @t153 @t150)) % 1.22/1.41 (define @t162 () (= @t161 @t160)) % 1.22/1.41 (define @t163 () (tptp.multiplication @t148 @t149)) % 1.22/1.41 (define @t164 () (tptp.addition tptp.one @t163)) % 1.22/1.41 (define @t165 () (= @t149 (tptp.addition @t164 @t149))) % 1.22/1.41 (define @t166 () (tptp.leq @t164 @t149)) % 1.22/1.41 (define @t167 () (= @t166 @t165)) % 1.22/1.41 (define @t168 () (tptp.addition @t163 @t149)) % 1.22/1.41 (define @t169 () (tptp.multiplication tptp.one @t145)) % 1.22/1.41 (define @t170 () (tptp.multiplication @t149 (tptp.multiplication @t145 @t147))) % 1.22/1.41 (define @t171 () (tptp.multiplication @t150 @t147)) % 1.22/1.41 (define @t172 () (= @t170 @t171)) % 1.22/1.41 (define @t173 () (tptp.addition @t171 @t145)) % 1.22/1.41 (define @t174 () (tptp.addition @t150 @t173)) % 1.22/1.41 (define @t175 () (tptp.leq @t173 @t150)) % 1.22/1.41 (define @t176 () (tptp.leq (tptp.multiplication @t145 (tptp.star @t147)) @t150)) % 1.22/1.41 (define @t177 () (not @t175)) % 1.22/1.41 (define @t178 () (or @t177 @t176)) % 1.22/1.41 (define @t179 () (not @t176)) % 1.22/1.41 (define @t180 () (not @t144)) % 1.22/1.41 (define @t181 () (forall @t37 @t35)) % 1.22/1.41 (define @t182 () (@list @t31 @t32)) % 1.22/1.41 (define @t183 () (forall @t37 @t36)) % 1.22/1.41 (define @t184 () (and @t183 @t181)) % 1.22/1.41 (define @t185 () (not @t42)) % 1.22/1.41 (define @t186 () (not @t139)) % 1.22/1.41 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 1.22/1.41 (assume @p2 @t7) % 1.22/1.41 (assume @p3 (forall @t8 (= (tptp.addition @t1 tptp.zero) @t1))) % 1.22/1.41 (assume @p4 @t10) % 1.22/1.41 (assume @p5 @t14) % 1.22/1.41 (assume @p6 @t16) % 1.22/1.41 (assume @p7 @t18) % 1.22/1.41 (assume @p8 (forall @t13 (= (tptp.multiplication @t1 @t6) (tptp.addition @t11 @t19)))) % 1.22/1.41 (assume @p9 (forall @t13 (= (tptp.multiplication @t3 @t5) (tptp.addition @t19 @t12)))) % 1.22/1.41 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 1.22/1.41 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 1.22/1.41 (assume @p12 @t22) % 1.22/1.41 (assume @p13 (forall @t8 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t1 @t23)) @t23))) % 1.22/1.41 (assume @p14 (forall @t8 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t23 @t1)) @t23))) % 1.22/1.41 (assume @p15 @t27) % 1.22/1.41 (assume @p16 @t30) % 1.22/1.41 (assume @p17 @t39) % 1.22/1.41 (assume @p18 true) % 1.22/1.41 (step @p19 :rule bool-impl-elim :args (@t26 @t24)) % 1.22/1.41 (step @p20 :rule cong :premises (@p19) :args (@t27)) % 1.22/1.41 (step @p21 :rule eq_resolve :premises (@p15 @p20)) % 1.22/1.41 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t48 @t47 @t43))) % 1.22/1.41 (step @p23 :rule eq-symm :args (@t3 @t2)) % 1.22/1.41 (step @p24 :rule refl :args (@t20)) % 1.22/1.41 (step @p25 :rule cong :premises (@p24 @p23) :args (@t21)) % 1.22/1.41 (step @p26 :rule cong :premises (@p25) :args (@t22)) % 1.22/1.41 (step @p27 :rule eq_resolve :premises (@p12 @p26)) % 1.22/1.41 (step @p28 :rule instantiate :premises (@p27) :args (@t51)) % 1.22/1.41 (step @p29 :rule instantiate :premises (@p8) :args ((@list @t43 @t52 @t46))) % 1.22/1.41 (step @p30 :rule eq-symm :args (@t15 @t1)) % 1.22/1.41 (step @p31 :rule cong :premises (@p30) :args (@t16)) % 1.22/1.41 (step @p32 :rule eq_resolve :premises (@p6 @p31)) % 1.22/1.41 (step @p33 :rule instantiate :premises (@p32) :args (@t53)) % 1.22/1.41 (step @p34 :rule eq-symm :args (@t9 @t1)) % 1.22/1.41 (step @p35 :rule cong :premises (@p34) :args (@t10)) % 1.22/1.41 (step @p36 :rule eq_resolve :premises (@p4 @p35)) % 1.22/1.41 (step @p37 :rule instantiate :premises (@p36) :args (@t53)) % 1.22/1.41 (step @p38 :rule instantiate :premises (@p2) :args ((@list @t43 @t43 @t49))) % 1.22/1.41 (step @p39 :rule instantiate :premises (@p2) :args ((@list @t56 @t54 @t43))) % 1.22/1.41 (step @p40 :rule instantiate :premises (@p2) :args ((@list @t59 @t54 @t49))) % 1.22/1.41 (step @p41 :rule instantiate :premises (@p2) :args (@t60)) % 1.22/1.41 (step @p42 :rule instantiate :premises (@p2) :args (@t63)) % 1.22/1.41 (step @p43 :rule instantiate :premises (@p2) :args ((@list @t59 @t54 @t50))) % 1.22/1.41 (step @p44 :rule instantiate :premises (@p1) :args ((@list @t43 @t62))) % 1.22/1.41 (step @p45 :rule instantiate :premises (@p8) :args ((@list @t43 tptp.one @t55))) % 1.22/1.41 (step @p46 :rule instantiate :premises (@p8) :args (@t64)) % 1.22/1.41 (step @p47 :rule instantiate :premises (@p2) :args (@t65)) % 1.22/1.41 (step @p48 :rule instantiate :premises (@p8) :args (@t66)) % 1.22/1.41 (step @p49 :rule eq-symm :args (@t67 @t69)) % 1.22/1.41 (step @p50 :rule refl :args (@t7)) % 1.22/1.41 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t7 @t70))) % 1.22/1.41 (assume-push @p341 @t7) % 1.22/1.41 (step @p53 :rule instantiate :premises (@p2) :args (@t71)) % 1.22/1.41 (step-pop @p342 :rule scope :premises (@p53)) % 1.22/1.41 (step @p54 :rule process_scope :premises (@p342) :args (@t70)) % 1.22/1.41 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 1.22/1.41 (step @p57 :rule implies_elim :premises (@p56)) % 1.22/1.41 (step @p58 :rule chain_m_resolution :premises (@p57 @p2) :args (@t72 @t73 @t74)) % 1.22/1.41 (step @p59 :rule eq-symm :args (@t76 @t77)) % 1.22/1.41 (step @p60 :rule 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1.22/1.41 (step-pop @p391 :rule scope :premises (@p390)) % 1.22/1.41 (step-pop @p392 :rule scope :premises (@p391)) % 1.22/1.41 (step-pop @p393 :rule scope :premises (@p392)) % 1.22/1.41 (step-pop @p394 :rule scope :premises (@p393)) % 1.22/1.41 (step-pop @p395 :rule scope :premises (@p394)) % 1.22/1.41 (step-pop @p396 :rule scope :premises (@p395)) % 1.22/1.41 (step @p201 :rule process_scope :premises (@p396) :args (@t135)) % 1.22/1.41 (step @p223 :rule implies_elim :premises (@p201)) % 1.22/1.41 (step @p224 :rule cnf_and_neg :args (@t136)) % 1.22/1.41 (step @p225 :rule resolution :premises (@p224 @p223) :args (true @t136)) % 1.22/1.41 (step @p226 :rule reordering :premises (@p225) :args ((or @t135 (not @t96) (not @t91) (not @t87) (not @t83) (not @t98) (not @t80) (not @t72) (not @t101) (not @t103) (not @t106) (not @t108) (not @t110) (not @t112) (not @t115) (not @t119) (not @t122) (not @t124) (not @t127) (not @t128) (not @t129) (not @t131)))) % 1.22/1.41 (step @p227 :rule chain_m_resolution :premises (@p226 @p97 @p88 @p78 @p73 @p68 @p67 @p58 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p33 @p29) :args (@t135 (@list false false false false false false false false false false false false false false false false false false false false false) (@list @t96 @t91 @t87 @t83 @t98 @t80 @t72 @t101 @t103 @t106 @t108 @t110 @t112 @t115 @t119 @t122 @t124 @t127 @t128 @t129 @t131))) % 1.22/1.41 (step @p228 :rule cnf_equiv_pos2 :args (@t138)) % 1.22/1.41 (step @p229 :rule reordering :premises (@p228) :args ((or @t137 (not @t135) (not @t138)))) % 1.22/1.41 (step @p230 :rule chain_m_resolution :premises (@p229 @p227 @p28) :args (@t137 @t86 (@list @t135 @t138))) % 1.22/1.41 (step @p231 :rule cnf_or_pos :args (@t141)) % 1.22/1.41 (step @p232 :rule reordering :premises (@p231) :args ((or @t139 @t140 (not @t141)))) % 1.22/1.41 (step @p233 :rule chain_m_resolution :premises (@p232 @p230 @p22) :args (@t139 @t86 (@list @t137 @t141))) % 1.22/1.41 (step @p234 :rule bool-impl-elim :args (@t29 @t28)) % 1.22/1.41 (step @p235 :rule cong :premises (@p234) :args (@t30)) % 1.22/1.41 (step @p236 :rule eq_resolve :premises (@p16 @p235)) % 1.22/1.41 (step @p237 :rule instantiate :premises (@p236) :args ((@list @t150 @t147 @t145))) % 1.22/1.41 (step @p238 :rule instantiate :premises (@p27) :args (@t154)) % 1.22/1.41 (step @p239 :rule instantiate :premises (@p9) :args ((@list @t152 @t149 @t145))) % 1.22/1.41 (step @p240 :rule refl :args (@t145)) % 1.22/1.41 (step @p241 :rule instantiate :premises (@p27) :args ((@list @t152 @t149))) % 1.22/1.41 (step @p242 :rule instantiate :premises (@p14) :args (@t155)) % 1.22/1.41 (step @p243 :rule cnf_equiv_pos1 :args (@t159)) % 1.22/1.41 (step @p244 :rule reordering :premises (@p243) :args ((or (not @t158) @t157 (not @t159)))) % 1.22/1.41 (step @p245 :rule chain_m_resolution :premises (@p244 @p242 @p241) :args (@t157 @t86 (@list @t158 @t159))) % 1.22/1.41 (step @p246 :rule cong :premises (@p245 @p240) :args (@t150)) % 1.22/1.41 (step @p247 :rule trans :premises (@p246 @p239)) % 1.22/1.41 (step @p248 :rule cnf_equiv_pos2 :args (@t162)) % 1.22/1.41 (step @p249 :rule reordering :premises (@p248) :args ((or @t161 (not @t160) (not @t162)))) % 1.22/1.41 (step @p250 :rule chain_m_resolution :premises (@p249 @p247 @p238) :args (@t161 @t86 (@list @t160 @t162))) % 1.22/1.41 (step @p251 :rule true_intro :premises (@p250)) % 1.22/1.41 (step @p252 :rule refl :args (@t150)) % 1.22/1.41 (step @p253 :rule instantiate :premises (@p36) :args ((@list @t153))) % 1.22/1.41 (step @p254 :rule symm :premises (@p253)) % 1.22/1.41 (step @p255 :rule cong :premises (@p254 @p252) :args ((tptp.leq (tptp.addition @t153 @t153) @t150))) % 1.22/1.41 (step @p256 :rule symm :premises (@p245)) % 1.22/1.41 (step @p257 :rule cong :premises (@p256 @p240) :args ((tptp.multiplication @t156 @t145))) % 1.22/1.41 (step @p258 :rule symm :premises (@p239)) % 1.22/1.41 (step @p259 :rule instantiate :premises (@p1) :args (@t154)) % 1.22/1.41 (step @p260 :rule symm :premises (@p259)) % 1.22/1.41 (step @p261 :rule refl :args (@t153)) % 1.22/1.41 (step @p262 :rule instantiate :premises (@p27) :args ((@list @t164 @t149))) % 1.22/1.41 (step @p263 :rule instantiate :premises (@p13) :args (@t155)) % 1.22/1.41 (step @p264 :rule cnf_equiv_pos1 :args (@t167)) % 1.22/1.41 (step @p265 :rule reordering :premises (@p264) :args ((or (not @t166) @t165 (not @t167)))) % 1.22/1.41 (step @p266 :rule chain_m_resolution :premises (@p265 @p263 @p262) :args (@t165 @t86 (@list @t166 @t167))) % 1.22/1.41 (step @p267 :rule symm :premises (@p266)) % 1.22/1.41 (step @p268 :rule instantiate :premises (@p2) :args ((@list @t149 @t163 tptp.one))) % 1.22/1.41 (step @p269 :rule trans :premises (@p268 @p267)) % 1.22/1.41 (step @p270 :rule cong :premises (@p269 @p240) :args ((tptp.multiplication (tptp.addition tptp.one @t168) @t145))) % 1.22/1.41 (step @p271 :rule instantiate :premises (@p9) :args ((@list tptp.one @t168 @t145))) % 1.22/1.41 (step @p272 :rule symm :premises (@p271)) % 1.22/1.41 (step @p273 :rule trans :premises (@p272 @p270)) % 1.22/1.41 (step @p274 :rule cong :premises (@p273 @p261) :args ((tptp.addition (tptp.addition @t169 (tptp.multiplication @t168 @t145)) @t153))) % 1.22/1.41 (step @p275 :rule instantiate :premises (@p9) :args ((@list tptp.one @t151 @t145))) % 1.22/1.41 (step @p276 :rule symm :premises (@p275)) % 1.22/1.41 (step @p277 :rule instantiate :premises (@p1) :args ((@list @t169 (tptp.multiplication @t151 @t145)))) % 1.22/1.41 (step @p278 :rule symm :premises (@p277)) % 1.22/1.41 (step @p279 :rule eq-symm :args (@t17 @t1)) % 1.22/1.41 (step @p280 :rule cong :premises (@p279) :args (@t18)) % 1.22/1.41 (step @p281 :rule eq_resolve :premises (@p7 @p280)) % 1.22/1.41 (step @p282 :rule instantiate :premises (@p281) :args ((@list @t145))) % 1.22/1.41 (step @p283 :rule instantiate :premises (@p5) :args ((@list @t149 @t145 @t146))) % 1.22/1.41 (step @p284 :rule symm :premises (@p283)) % 1.22/1.41 (step @p285 :rule cong :premises (@p284 @p240) :args ((tptp.multiplication (tptp.multiplication @t150 @t146) @t145))) % 1.22/1.41 (step @p286 :rule instantiate :premises (@p5) :args ((@list @t150 @t146 @t145))) % 1.22/1.41 (step @p287 :rule trans :premises (@p286 @p285)) % 1.22/1.41 (step @p288 :rule instantiate :premises (@p5) :args ((@list @t149 @t145 @t147))) % 1.22/1.41 (step @p289 :rule trans :premises (@p288 @p287)) % 1.22/1.41 (step @p290 :rule cong :premises (@p289 @p282) :args ((tptp.addition @t170 @t145))) % 1.22/1.41 (step @p291 :rule eq-symm :args (@t170 @t171)) % 1.22/1.41 (step @p292 :rule cong :premises (@p80 @p291) :args ((=> @t14 @t172))) % 1.22/1.41 (assume-push @p397 @t14) % 1.22/1.41 (step-pop @p398 :rule scope :premises (@p288)) % 1.22/1.41 (step @p294 :rule process_scope :premises (@p398) :args (@t172)) % 1.22/1.41 (step @p296 :rule eq_resolve :premises (@p294 @p292)) % 1.22/1.41 (step @p297 :rule implies_elim :premises (@p296)) % 1.22/1.41 (step @p298 :rule chain_m_resolution :premises (@p297 @p5) :args ((= @t171 @t170) @t73 @t92)) % 1.22/1.41 (step @p299 :rule cong :premises (@p298 @p240) :args (@t173)) % 1.22/1.41 (step @p300 :rule trans :premises (@p299 @p290 @p278 @p276)) % 1.22/1.41 (step @p301 :rule symm :premises (@p273)) % 1.22/1.41 (step @p302 :rule cong :premises (@p301 @p300) :args (@t174)) % 1.22/1.41 (step @p303 :rule trans :premises (@p302 @p274 @p260 @p258 @p257)) % 1.22/1.41 (step @p304 :rule cong :premises (@p253 @p303) :args ((tptp.leq @t153 @t174))) % 1.22/1.41 (step @p305 :rule symm :premises (@p303)) % 1.22/1.41 (step @p306 :rule cong :premises (@p300 @p305) :args (@t175)) % 1.22/1.41 (step @p307 :rule trans :premises (@p306 @p304 @p255 @p251)) % 1.22/1.41 (step @p308 :rule true_elim :premises (@p307)) % 1.22/1.41 (step @p309 :rule cnf_or_pos :args (@t178)) % 1.22/1.41 (step @p310 :rule reordering :premises (@p309) :args ((or @t176 @t177 (not @t178)))) % 1.22/1.41 (step @p311 :rule chain_m_resolution :premises (@p310 @p308 @p237) :args (@t176 @t86 (@list @t175 @t178))) % 1.22/1.41 (step @p312 :rule refl :args (@t179)) % 1.22/1.41 (step @p313 :rule bool-double-not-elim :args (@t144)) % 1.22/1.41 (step @p314 :rule nary_cong :premises (@p313 @p312) :args ((or (not @t180) @t179))) % 1.22/1.41 (assume-push @p399 @t180) % 1.22/1.41 (step @p316 :rule skolemize :premises (@p399)) % 1.22/1.41 (step-pop @p400 :rule scope :premises (@p316)) % 1.22/1.41 (step @p317 :rule process_scope :premises (@p400) :args (@t179)) % 1.22/1.41 (step @p319 :rule implies_elim :premises (@p317)) % 1.22/1.41 (step @p320 :rule eq_resolve :premises (@p319 @p314)) % 1.22/1.41 (step @p321 :rule chain_m_resolution :premises (@p320 @p311) :args (@t144 @t73 (@list @t176))) % 1.22/1.41 (step @p322 :rule alpha_equiv :args (@t181 @t182 (@list @t142 @t143))) % 1.22/1.41 (step @p323 :rule alpha_equiv :args (@t183 @t182 (@list @t40 @t41))) % 1.22/1.41 (step @p324 :rule nary_cong :premises (@p323 @p322) :args (@t184)) % 1.22/1.41 (step @p325 :rule quant-miniscope-and :args ((= @t38 @t184))) % 1.22/1.41 (step @p326 :rule trans :premises (@p325 @p324)) % 1.22/1.41 (step @p327 :rule cong :premises (@p326) :args (@t39)) % 1.22/1.41 (step @p328 :rule eq_resolve :premises (@p17 @p327)) % 1.22/1.41 (step @p329 :rule not_and :premises (@p328)) % 1.22/1.41 (step @p330 :rule chain_m_resolution :premises (@p329 @p321) :args (@t185 @t73 (@list @t144))) % 1.22/1.41 (step @p331 :rule refl :args (@t186)) % 1.22/1.41 (step @p332 :rule bool-double-not-elim :args (@t42)) % 1.22/1.41 (step @p333 :rule nary_cong :premises (@p332 @p331) :args ((or (not @t185) @t186))) % 1.22/1.41 (assume-push @p401 @t185) % 1.22/1.41 (step @p335 :rule skolemize :premises (@p401)) % 1.22/1.41 (step-pop @p402 :rule scope :premises (@p335)) % 1.22/1.41 (step @p336 :rule process_scope :premises (@p402) :args (@t186)) % 1.22/1.41 (step @p338 :rule implies_elim :premises (@p336)) % 1.22/1.41 (step @p339 :rule eq_resolve :premises (@p338 @p333)) % 1.22/1.41 (step @p340 false :rule chain_m_resolution :premises (@p339 @p330 @p233) :args (false (@list true false) (@list @t42 @t139))) % 1.22/1.41 ) % 1.22/1.41 % SZS output end Proof % 1.22/1.41 % cvc5 exiting %------------------------------------------------------------------------------