%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE018+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 : n003.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 08:28:05 AM UTC 2026 % Result : Theorem 16.43s 16.60s % Output : Proof 16.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE018+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 05:09:59 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 16.43/16.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.43/16.60 --- Run --no-e-matching --full-saturate-quant at 6... % 16.43/16.60 % SZS status Theorem % 16.43/16.60 % SZS output start Proof % 16.43/16.60 ( % 16.43/16.60 (declare-sort $$unsorted 0) % 16.43/16.60 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 16.43/16.60 (declare-const tptp.test (-> $$unsorted Bool)) % 16.43/16.60 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 16.43/16.60 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 16.43/16.60 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 16.43/16.60 (declare-const tptp.zero $$unsorted) % 16.43/16.60 (declare-const tptp.one $$unsorted) % 16.43/16.60 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 16.43/16.60 (define @t1 () (@var "A" $$unsorted)) % 16.43/16.60 (define @t2 () (@var "B" $$unsorted)) % 16.43/16.60 (define @t3 () (tptp.addition @t1 @t2)) % 16.43/16.60 (define @t4 () (@list @t1 @t2)) % 16.43/16.60 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 16.43/16.60 (define @t6 () (@var "C" $$unsorted)) % 16.43/16.60 (define @t7 () (tptp.addition @t2 @t6)) % 16.43/16.60 (define @t8 () (tptp.addition @t1 tptp.zero)) % 16.43/16.60 (define @t9 () (@list @t1)) % 16.43/16.60 (define @t10 () (forall @t9 (= @t8 @t1))) % 16.43/16.60 (define @t11 () (tptp.addition @t1 @t1)) % 16.43/16.60 (define @t12 () (forall @t9 (= @t11 @t1))) % 16.43/16.60 (define @t13 () (tptp.multiplication @t1 @t2)) % 16.43/16.60 (define @t14 () (tptp.multiplication @t2 @t6)) % 16.43/16.60 (define @t15 () (@list @t1 @t2 @t6)) % 16.43/16.60 (define @t16 () (tptp.multiplication @t1 tptp.one)) % 16.43/16.60 (define @t17 () (forall @t9 (= @t16 @t1))) % 16.43/16.60 (define @t18 () (tptp.multiplication tptp.one @t1)) % 16.43/16.60 (define @t19 () (forall @t9 (= @t18 @t1))) % 16.43/16.60 (define @t20 () (tptp.multiplication @t1 @t6)) % 16.43/16.60 (define @t21 () (tptp.multiplication tptp.zero @t1)) % 16.43/16.60 (define @t22 () (forall @t9 (= @t21 tptp.zero))) % 16.43/16.60 (define @t23 () (tptp.leq @t1 @t2)) % 16.43/16.60 (define @t24 () (= @t23 (= @t3 @t2))) % 16.43/16.60 (define @t25 () (forall @t4 @t24)) % 16.43/16.60 (define @t26 () (@var "X0" $$unsorted)) % 16.43/16.60 (define @t27 () (@var "X1" $$unsorted)) % 16.43/16.60 (define @t28 () (tptp.complement @t27 @t26)) % 16.43/16.60 (define @t29 () (@list @t27)) % 16.43/16.60 (define @t30 () (exists @t29 @t28)) % 16.43/16.60 (define @t31 () (tptp.test @t26)) % 16.43/16.60 (define @t32 () (= @t31 @t30)) % 16.43/16.60 (define @t33 () (@list @t26)) % 16.43/16.60 (define @t34 () (forall @t33 @t32)) % 16.43/16.60 (define @t35 () (tptp.addition @t26 @t27)) % 16.43/16.60 (define @t36 () (tptp.multiplication @t27 @t26)) % 16.43/16.60 (define @t37 () (tptp.multiplication @t26 @t27)) % 16.43/16.60 (define @t38 () (and (= @t37 tptp.zero) (= @t36 tptp.zero) (= @t35 tptp.one))) % 16.43/16.60 (define @t39 () (= @t28 @t38)) % 16.43/16.60 (define @t40 () (@list @t26 @t27)) % 16.43/16.60 (define @t41 () (forall @t40 @t39)) % 16.43/16.60 (define @t42 () (tptp.complement @t26 @t27)) % 16.43/16.60 (define @t43 () (tptp.c @t26)) % 16.43/16.60 (define @t44 () (= (= @t43 @t27) @t42)) % 16.43/16.60 (define @t45 () (=> @t31 @t44)) % 16.43/16.60 (define @t46 () (forall @t40 @t45)) % 16.43/16.60 (define @t47 () (not @t31)) % 16.43/16.60 (define @t48 () (@var "X2" $$unsorted)) % 16.43/16.60 (define @t49 () (tptp.leq @t26 (tptp.addition @t27 @t48))) % 16.43/16.60 (define @t50 () (tptp.leq (tptp.multiplication @t26 (tptp.c @t27)) @t48)) % 16.43/16.60 (define @t51 () (=> @t50 @t49)) % 16.43/16.60 (define @t52 () (tptp.test @t48)) % 16.43/16.60 (define @t53 () (tptp.test @t27)) % 16.43/16.60 (define @t54 () (and @t31 @t53 @t52)) % 16.43/16.60 (define @t55 () (@list @t26 @t27 @t48)) % 16.43/16.60 (define @t56 () (forall @t55 (=> @t54 @t51))) % 16.43/16.60 (define @t57 () (not @t56)) % 16.43/16.60 (define @t58 () (forall @t29 (not (tptp.complement @t27 tptp.zero)))) % 16.43/16.60 (define @t59 () (@quantifiers_skolemize @t58 0)) % 16.43/16.60 (define @t60 () (@list tptp.zero @t59)) % 16.43/16.60 (define @t61 () (not @t50)) % 16.43/16.60 (define @t62 () (not @t52)) % 16.43/16.60 (define @t63 () (not @t53)) % 16.43/16.60 (define @t64 () (or @t47 @t63 @t62 @t61 @t49)) % 16.43/16.60 (define @t65 () (forall @t55 @t64)) % 16.43/16.60 (define @t66 () (@quantifiers_skolemize @t65 1)) % 16.43/16.60 (define @t67 () (@quantifiers_skolemize @t65 0)) % 16.43/16.60 (define @t68 () (tptp.c @t66)) % 16.43/16.60 (define @t69 () (tptp.multiplication @t67 @t68)) % 16.43/16.60 (define @t70 () (tptp.multiplication @t67 @t66)) % 16.43/16.60 (define @t71 () (tptp.multiplication @t66 @t66)) % 16.43/16.60 (define @t72 () (forall @t29 (not (tptp.complement @t27 @t67)))) % 16.43/16.60 (define @t73 () (@quantifiers_skolemize @t72 0)) % 16.43/16.60 (define @t74 () (@list @t67 @t73)) % 16.43/16.60 (define @t75 () (@list @t67)) % 16.43/16.60 (define @t76 () (or @t47 @t63 @t62)) % 16.43/16.60 (define @t77 () (tptp.test @t67)) % 16.43/16.60 (define @t78 () (@quantifiers_skolemize @t65 2)) % 16.43/16.60 (define @t79 () (tptp.addition @t66 @t78)) % 16.43/16.60 (define @t80 () (tptp.leq @t67 @t79)) % 16.43/16.60 (define @t81 () (tptp.leq @t69 @t78)) % 16.43/16.60 (define @t82 () (not @t81)) % 16.43/16.60 (define @t83 () (tptp.test @t66)) % 16.43/16.60 (define @t84 () (not @t83)) % 16.43/16.60 (define @t85 () (not @t77)) % 16.43/16.60 (define @t86 () (or @t85 @t84 (not (tptp.test @t78)) @t82 @t80)) % 16.43/16.60 (define @t87 () (@list true)) % 16.43/16.60 (define @t88 () (@list @t86)) % 16.43/16.60 (define @t89 () (not @t72)) % 16.43/16.60 (define @t90 () (= @t77 @t89)) % 16.43/16.60 (define @t91 () (@list false false)) % 16.43/16.60 (define @t92 () (tptp.complement @t73 @t67)) % 16.43/16.60 (define @t93 () (not @t92)) % 16.43/16.60 (define @t94 () (not @t93)) % 16.43/16.60 (define @t95 () (tptp.addition @t67 @t73)) % 16.43/16.60 (define @t96 () (= tptp.one @t95)) % 16.43/16.60 (define @t97 () (and (= tptp.zero (tptp.multiplication @t67 @t73)) (= tptp.zero (tptp.multiplication @t73 @t67)) @t96)) % 16.43/16.60 (define @t98 () (= @t92 @t97)) % 16.43/16.60 (define @t99 () (@list false)) % 16.43/16.60 (define @t100 () (tptp.addition tptp.zero @t59)) % 16.43/16.60 (define @t101 () (tptp.addition @t59 tptp.zero)) % 16.43/16.60 (define @t102 () (= @t100 @t101)) % 16.43/16.60 (define @t103 () (= @t101 @t100)) % 16.43/16.60 (define @t104 () (@list @t5)) % 16.43/16.60 (define @t105 () (tptp.addition @t67 @t59)) % 16.43/16.60 (define @t106 () (tptp.addition @t59 @t67)) % 16.43/16.60 (define @t107 () (= @t105 @t106)) % 16.43/16.60 (define @t108 () (= @t106 @t105)) % 16.43/16.60 (define @t109 () (= @t27 @t43)) % 16.43/16.60 (define @t110 () (= @t42 @t109)) % 16.43/16.60 (define @t111 () (tptp.complement @t66 @t68)) % 16.43/16.60 (define @t112 () (= @t111 (= @t68 @t68))) % 16.43/16.60 (define @t113 () (or @t84 @t112)) % 16.43/16.60 (define @t114 () (forall @t40 (or @t47 @t110))) % 16.43/16.60 (define @t115 () (@list @t66 @t68)) % 16.43/16.60 (define @t116 () (or @t84 @t111)) % 16.43/16.60 (define @t117 () (tptp.addition @t68 @t66)) % 16.43/16.60 (define @t118 () (= tptp.one @t117)) % 16.43/16.60 (define @t119 () (tptp.multiplication @t66 @t68)) % 16.43/16.60 (define @t120 () (= tptp.zero @t119)) % 16.43/16.60 (define @t121 () (tptp.multiplication @t68 @t66)) % 16.43/16.60 (define @t122 () (= tptp.zero @t121)) % 16.43/16.60 (define @t123 () (and @t122 @t120 @t118)) % 16.43/16.60 (define @t124 () (= @t111 @t123)) % 16.43/16.60 (define @t125 () (not @t123)) % 16.43/16.60 (define @t126 () (@list @t123)) % 16.43/16.60 (define @t127 () (tptp.addition @t69 @t78)) % 16.43/16.60 (define @t128 () (= @t78 @t127)) % 16.43/16.60 (define @t129 () (= @t81 @t128)) % 16.43/16.60 (define @t130 () (@list @t66)) % 16.43/16.60 (define @t131 () (tptp.addition @t67 @t79)) % 16.43/16.60 (define @t132 () (= @t79 @t131)) % 16.43/16.60 (define @t133 () (= @t80 @t132)) % 16.43/16.60 (define @t134 () (not @t132)) % 16.43/16.60 (define @t135 () (@list true false)) % 16.43/16.60 (define @t136 () (tptp.addition @t67 @t66)) % 16.43/16.60 (define @t137 () (= @t136 (tptp.addition @t66 @t67))) % 16.43/16.60 (define @t138 () (tptp.addition @t67 @t67)) % 16.43/16.60 (define @t139 () (= @t67 @t138)) % 16.43/16.60 (define @t140 () (= @t67 (tptp.multiplication @t67 tptp.one))) % 16.43/16.60 (define @t141 () (tptp.addition @t66 tptp.zero)) % 16.43/16.60 (define @t142 () (= @t66 @t141)) % 16.43/16.60 (define @t143 () (tptp.multiplication tptp.zero @t66)) % 16.43/16.60 (define @t144 () (= tptp.zero @t143)) % 16.43/16.60 (define @t145 () (= @t66 (tptp.multiplication @t66 tptp.one))) % 16.43/16.60 (define @t146 () (= @t131 (tptp.addition @t136 @t78))) % 16.43/16.60 (define @t147 () (= @t59 @t101)) % 16.43/16.60 (define @t148 () (tptp.addition @t66 @t68)) % 16.43/16.60 (define @t149 () (= @t148 @t117)) % 16.43/16.60 (define @t150 () (tptp.addition @t71 @t121)) % 16.43/16.60 (define @t151 () (tptp.multiplication @t148 @t66)) % 16.43/16.60 (define @t152 () (= @t151 @t150)) % 16.43/16.60 (define @t153 () (tptp.multiplication @t66 @t148)) % 16.43/16.60 (define @t154 () (= @t153 (tptp.addition @t71 @t119))) % 16.43/16.60 (define @t155 () (tptp.addition @t69 @t66)) % 16.43/16.60 (define @t156 () (tptp.addition @t66 @t69)) % 16.43/16.60 (define @t157 () (= @t156 @t155)) % 16.43/16.60 (define @t158 () (tptp.addition @t71 @t143)) % 16.43/16.60 (define @t159 () (= (tptp.multiplication @t141 @t66) @t158)) % 16.43/16.60 (define @t160 () (tptp.addition @t69 @t70)) % 16.43/16.60 (define @t161 () (tptp.multiplication @t67 @t117)) % 16.43/16.60 (define @t162 () (= @t161 @t160)) % 16.43/16.60 (define @t163 () (tptp.addition @t156 @t78)) % 16.43/16.60 (define @t164 () (= (tptp.addition @t66 @t127) @t163)) % 16.43/16.60 (define @t165 () (= tptp.one @t100)) % 16.43/16.60 (define @t166 () (tptp.addition @t73 @t67)) % 16.43/16.60 (define @t167 () (tptp.addition @t166 @t67)) % 16.43/16.60 (define @t168 () (= (tptp.addition @t73 @t138) @t167)) % 16.43/16.60 (define @t169 () (= @t95 @t166)) % 16.43/16.60 (define @t170 () (tptp.addition @t160 @t71)) % 16.43/16.60 (define @t171 () (= (tptp.addition @t69 (tptp.addition @t70 @t71)) @t170)) % 16.43/16.60 (define @t172 () (tptp.multiplication @t59 @t66)) % 16.43/16.60 (define @t173 () (tptp.addition @t70 @t172)) % 16.43/16.60 (define @t174 () (= (tptp.multiplication @t105 @t66) @t173)) % 16.43/16.60 (define @t175 () (and @t137 @t139 @t140 @t142 @t144 @t145 @t146 @t128 @t147 @t149 @t120 @t122 @t152 @t154 @t118 @t157 @t159 @t162 @t164 @t108 @t103 @t165 @t96 @t168 @t169 @t171 @t174)) % 16.43/16.60 (define @t176 () (not @t165)) % 16.43/16.60 (define @t177 () (and (= tptp.zero (tptp.multiplication tptp.zero @t59)) (= tptp.zero (tptp.multiplication @t59 tptp.zero)) @t165)) % 16.43/16.60 (define @t178 () (not @t177)) % 16.43/16.60 (define @t179 () (tptp.complement @t59 tptp.zero)) % 16.43/16.60 (define @t180 () (= @t179 @t177)) % 16.43/16.60 (define @t181 () (not @t179)) % 16.43/16.60 (define @t182 () (not @t58)) % 16.43/16.60 (define @t183 () (not @t181)) % 16.43/16.60 (define @t184 () (@list tptp.zero tptp.one)) % 16.43/16.60 (define @t185 () (@list tptp.one)) % 16.43/16.60 (define @t186 () (@list tptp.zero)) % 16.43/16.60 (define @t187 () (= tptp.one (tptp.addition tptp.zero tptp.one))) % 16.43/16.60 (define @t188 () (= tptp.zero (tptp.multiplication tptp.one tptp.zero))) % 16.43/16.60 (define @t189 () (= tptp.zero (tptp.multiplication tptp.zero tptp.one))) % 16.43/16.60 (define @t190 () (and @t189 @t188 @t187)) % 16.43/16.60 (define @t191 () (tptp.complement tptp.one tptp.zero)) % 16.43/16.60 (define @t192 () (= @t191 @t190)) % 16.43/16.60 (assume @p1 @t5) % 16.43/16.60 (assume @p2 (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 16.43/16.60 (assume @p3 @t10) % 16.43/16.60 (assume @p4 @t12) % 16.43/16.60 (assume @p5 (forall @t15 (= (tptp.multiplication @t1 @t14) (tptp.multiplication @t13 @t6)))) % 16.43/16.60 (assume @p6 @t17) % 16.43/16.60 (assume @p7 @t19) % 16.43/16.60 (assume @p8 (forall @t15 (= (tptp.multiplication @t1 @t7) (tptp.addition @t13 @t20)))) % 16.43/16.60 (assume @p9 (forall @t15 (= (tptp.multiplication @t3 @t6) (tptp.addition @t20 @t14)))) % 16.43/16.60 (assume @p10 (forall @t9 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 16.43/16.60 (assume @p11 @t22) % 16.43/16.60 (assume @p12 @t25) % 16.43/16.60 (assume @p13 @t34) % 16.43/16.60 (assume @p14 @t41) % 16.43/16.60 (assume @p15 @t46) % 16.43/16.60 (assume @p16 (forall @t33 (=> @t47 (= @t43 tptp.zero)))) % 16.43/16.60 (assume @p17 @t57) % 16.43/16.60 (assume @p18 true) % 16.43/16.60 (step @p19 :rule eq-symm :args (@t35 tptp.one)) % 16.43/16.60 (step @p20 :rule eq-symm :args (@t36 tptp.zero)) % 16.43/16.60 (step @p21 :rule eq-symm :args (@t37 tptp.zero)) % 16.43/16.60 (step @p22 :rule nary_cong :premises (@p21 @p20 @p19) :args (@t38)) % 16.43/16.60 (step @p23 :rule refl :args (@t28)) % 16.43/16.60 (step @p24 :rule cong :premises (@p23 @p22) :args (@t39)) % 16.43/16.60 (step @p25 :rule cong :premises (@p24) :args (@t41)) % 16.43/16.60 (step @p26 :rule eq_resolve :premises (@p14 @p25)) % 16.43/16.60 (step @p27 :rule instantiate :premises (@p26) :args (@t60)) % 16.43/16.60 (step @p28 :rule instantiate :premises (@p9) :args ((@list @t67 @t59 @t66))) % 16.43/16.60 (step @p29 :rule instantiate :premises (@p2) :args ((@list @t71 @t70 @t69))) % 16.43/16.60 (step @p30 :rule instantiate :premises (@p1) :args (@t74)) % 16.43/16.60 (step @p31 :rule instantiate :premises (@p2) :args ((@list @t67 @t67 @t73))) % 16.43/16.60 (step @p32 :rule instantiate :premises (@p26) :args (@t74)) % 16.43/16.60 (step @p33 :rule exists-elim :args ((= @t30 (not (forall @t29 (not @t28)))))) % 16.43/16.60 (step @p34 :rule refl :args (@t31)) % 16.43/16.60 (step @p35 :rule cong :premises (@p34 @p33) :args (@t32)) % 16.43/16.60 (step @p36 :rule cong :premises (@p35) :args (@t34)) % 16.43/16.60 (step @p37 :rule eq_resolve :premises (@p13 @p36)) % 16.43/16.60 (step @p38 :rule instantiate :premises (@p37) :args (@t75)) % 16.43/16.60 (step @p39 :rule aci_norm :args ((= (or @t76 (or @t61 @t49)) @t64))) % 16.43/16.60 (step @p40 :rule bool-impl-elim :args (@t50 @t49)) % 16.43/16.60 (step @p41 :rule aci_norm :args ((= (or @t47 (or @t63 @t62)) @t76))) % 16.43/16.60 (step @p42 :rule bool-and-de-morgan :args (@t53 @t52 true)) % 16.43/16.60 (step @p43 :rule refl :args (@t47)) % 16.43/16.60 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t47 (not (and @t53 @t52))))) % 16.43/16.60 (step @p45 :rule bool-and-de-morgan :args (@t31 @t53 (and @t52))) % 16.43/16.60 (step @p46 :rule trans :premises (@p45 @p44)) % 16.43/16.60 (step @p47 :rule trans :premises (@p46 @p41)) % 16.43/16.60 (step @p48 :rule nary_cong :premises (@p47 @p40) :args ((or (not @t54) @t51))) % 16.43/16.60 (step @p49 :rule trans :premises (@p48 @p39)) % 16.43/16.60 (step @p50 :rule bool-impl-elim :args (@t54 @t51)) % 16.43/16.60 (step @p51 :rule trans :premises (@p50 @p49)) % 16.43/16.60 (step @p52 :rule cong :premises (@p51) :args (@t56)) % 16.43/16.60 (step @p53 :rule cong :premises (@p52) :args (@t57)) % 16.43/16.60 (step @p54 :rule eq_resolve :premises (@p17 @p53)) % 16.43/16.60 (step @p55 :rule skolemize :premises (@p54)) % 16.43/16.60 (step @p56 :rule bool-double-not-elim :args (@t77)) % 16.43/16.60 (step @p57 :rule refl :args (@t86)) % 16.43/16.60 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t86 (not @t85)))) % 16.43/16.60 (step @p59 :rule cnf_or_neg :args (@t86 0)) % 16.43/16.60 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 16.43/16.60 (step @p61 :rule reordering :premises (@p60) :args ((or @t77 @t86))) % 16.43/16.60 (step @p62 :rule chain_m_resolution :premises (@p61 @p55) :args (@t77 @t87 @t88)) % 16.43/16.60 (step @p63 :rule cnf_equiv_pos1 :args (@t90)) % 16.43/16.60 (step @p64 :rule reordering :premises (@p63) :args ((or @t85 @t89 (not @t90)))) % 16.43/16.60 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p38) :args (@t89 @t91 (@list @t77 @t90))) % 16.43/16.60 (step @p66 :rule refl :args (@t92)) % 16.43/16.60 (step @p67 :rule bool-double-not-elim :args (@t72)) % 16.43/16.60 (step @p68 :rule nary_cong :premises (@p67 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:premises (@p265 @p282) :args (@t150)) % 16.43/16.60 (step @p284 :rule symm :premises (@p452)) % 16.43/16.60 (step @p285 :rule trans :premises (@p164 @p95 @p284 @p147 @p274)) % 16.43/16.60 (step @p286 :rule cong :premises (@p285 @p262) :args (@t172)) % 16.43/16.60 (step @p287 :rule trans :premises (@p286 @p153 @p283 @p281 @p280 @p279)) % 16.43/16.60 (step @p288 :rule refl :args (@t70)) % 16.43/16.60 (step @p289 :rule cong :premises (@p288 @p287) :args (@t173)) % 16.43/16.60 (step @p290 :rule symm :premises (@p200)) % 16.43/16.60 (step @p291 :rule refl :args (@t59)) % 16.43/16.60 (step @p292 :rule cong :premises (@p291 @p290) :args ((tptp.addition @t59 @t138))) % 16.43/16.60 (step @p293 :rule symm :premises (@p164)) % 16.43/16.60 (step @p90 :rule instantiate :premises (@p1) :args (@t60)) % 16.43/16.60 (step @p294 :rule trans :premises (@p260 @p452 @p90 @p293)) % 16.43/16.60 (step @p295 :rule cong :premises (@p294 @p200) :args ((tptp.addition @t117 @t67))) % 16.43/16.60 (step @p296 :rule symm :premises (@p85)) % 16.43/16.60 (step @p297 :rule symm :premises (@p30)) % 16.43/16.60 (step @p298 :rule trans :premises (@p297 @p296 @p147)) % 16.43/16.60 (step @p299 :rule cong :premises (@p298 @p272) :args (@t167)) % 16.43/16.60 (step @p300 :rule refl :args (@t73)) % 16.43/16.60 (step @p301 :rule cong :premises (@p300 @p200) :args (@t166)) % 16.43/16.60 (step @p302 :rule trans :premises (@p160 @p260 @p85 @p30 @p301 @p31 @p299 @p295 @p292 @p104)) % 16.43/16.60 (step @p303 :rule cong :premises (@p302 @p262) :args (@t151)) % 16.43/16.60 (step @p304 :rule symm :premises (@p153)) % 16.43/16.60 (step @p305 :rule symm :premises (@p283)) % 16.43/16.60 (step @p306 :rule symm :premises (@p266)) % 16.43/16.60 (step @p307 :rule symm :premises (@p263)) % 16.43/16.60 (step @p308 :rule trans :premises (@p184 @p307 @p152 @p306 @p305 @p304 @p303 @p28 @p289)) % 16.43/16.60 (step @p309 :rule refl :args (@t69)) % 16.43/16.60 (step @p310 :rule cong :premises (@p309 @p308) :args (@t155)) % 16.43/16.60 (step @p311 :rule trans :premises (@p151 @p310 @p29 @p278 @p201)) % 16.43/16.60 (step @p312 :rule symm :premises (@p151)) % 16.43/16.60 (step @p313 :rule trans :premises (@p312 @p311 @p258)) % 16.43/16.60 (step @p314 :rule cong :premises (@p313 @p257) :args ((tptp.addition @t155 @t78))) % 16.43/16.60 (step @p315 :rule cong :premises (@p151 @p257) :args (@t163)) % 16.43/16.60 (step @p316 :rule cong :premises (@p262 @p179) :args (@t79)) % 16.43/16.60 (step @p317 :rule trans :premises (@p316 @p148 @p315 @p314 @p256)) % 16.43/16.60 (step-pop @p485 :rule scope :premises (@p317)) % 16.43/16.60 (step-pop @p486 :rule scope :premises (@p485)) % 16.43/16.60 (step-pop @p487 :rule scope :premises (@p486)) % 16.43/16.60 (step-pop @p488 :rule scope :premises (@p487)) % 16.43/16.60 (step-pop @p489 :rule scope :premises (@p488)) % 16.43/16.60 (step-pop @p490 :rule scope :premises (@p489)) % 16.43/16.60 (step-pop @p491 :rule scope :premises (@p490)) % 16.43/16.60 (step-pop @p492 :rule scope :premises (@p491)) % 16.43/16.60 (step-pop @p493 :rule scope :premises (@p492)) % 16.43/16.60 (step-pop @p494 :rule scope :premises (@p493)) % 16.43/16.60 (step-pop @p495 :rule scope :premises (@p494)) % 16.43/16.60 (step-pop @p496 :rule scope :premises (@p495)) % 16.43/16.60 (step-pop @p497 :rule scope :premises (@p496)) % 16.43/16.60 (step-pop @p498 :rule scope :premises (@p497)) % 16.43/16.60 (step-pop @p499 :rule scope :premises (@p498)) % 16.43/16.60 (step-pop @p500 :rule scope :premises (@p499)) % 16.43/16.60 (step-pop @p501 :rule scope :premises (@p500)) % 16.43/16.60 (step-pop @p502 :rule scope :premises (@p501)) % 16.43/16.60 (step-pop @p503 :rule scope :premises (@p502)) % 16.43/16.60 (step-pop @p504 :rule scope :premises (@p503)) % 16.43/16.60 (step-pop @p505 :rule scope :premises (@p504)) % 16.43/16.60 (step-pop @p506 :rule scope :premises (@p505)) % 16.43/16.60 (step-pop @p507 :rule scope :premises (@p506)) % 16.43/16.60 (step-pop @p508 :rule scope :premises (@p507)) % 16.43/16.60 (step-pop @p509 :rule scope :premises (@p508)) % 16.43/16.60 (step-pop @p510 :rule scope :premises (@p509)) % 16.43/16.60 (step-pop @p511 :rule scope :premises (@p510)) % 16.43/16.60 (step @p318 :rule process_scope :premises (@p511) :args (@t132)) % 16.43/16.60 (step @p346 :rule and_intro :premises (@p180 @p201 @p196 @p147 @p160 @p149 @p184 @p152 @p159 @p188 @p150 @p195 @p29 @p156 @p153 @p452 @p95 @p164 @p28 @p104 @p200 @p85 @p30 @p31 @p151 @p148 @p179)) % 16.43/16.60 (step @p347 :rule modus_ponens :premises (@p346 @p318)) % 16.43/16.60 (step-pop @p512 :rule scope :premises (@p347)) % 16.43/16.60 (step-pop @p513 :rule scope :premises (@p512)) % 16.43/16.60 (step-pop @p514 :rule scope :premises (@p513)) % 16.43/16.60 (step-pop @p515 :rule scope :premises (@p514)) % 16.43/16.60 (step-pop @p516 :rule scope :premises (@p515)) % 16.43/16.60 (step-pop @p517 :rule scope :premises (@p516)) % 16.43/16.60 (step-pop @p518 :rule scope :premises (@p517)) % 16.43/16.60 (step-pop @p519 :rule scope :premises (@p518)) % 16.43/16.60 (step-pop @p520 :rule scope :premises (@p519)) % 16.43/16.60 (step-pop @p521 :rule scope :premises (@p520)) % 16.43/16.60 (step-pop @p522 :rule scope :premises (@p521)) % 16.43/16.60 (step-pop @p523 :rule scope :premises (@p522)) % 16.43/16.60 (step-pop @p524 :rule scope :premises (@p523)) % 16.43/16.60 (step-pop @p525 :rule scope :premises (@p524)) % 16.43/16.60 (step-pop @p526 :rule scope :premises (@p525)) % 16.43/16.60 (step-pop @p527 :rule scope :premises (@p526)) % 16.43/16.60 (step-pop @p528 :rule scope :premises (@p527)) % 16.43/16.60 (step-pop @p529 :rule scope :premises (@p528)) % 16.43/16.60 (step-pop @p530 :rule scope :premises (@p529)) % 16.43/16.60 (step-pop @p531 :rule scope :premises (@p530)) % 16.43/16.60 (step-pop @p532 :rule scope :premises (@p531)) % 16.43/16.60 (step-pop @p533 :rule scope :premises (@p532)) % 16.43/16.60 (step-pop @p534 :rule scope :premises (@p533)) % 16.43/16.60 (step-pop @p535 :rule scope :premises (@p534)) % 16.43/16.60 (step-pop @p536 :rule scope :premises (@p535)) % 16.43/16.60 (step-pop @p537 :rule scope :premises (@p536)) % 16.43/16.60 (step-pop @p538 :rule scope :premises (@p537)) % 16.43/16.60 (step @p348 :rule process_scope :premises (@p538) :args (@t132)) % 16.43/16.60 (step @p376 :rule implies_elim :premises (@p348)) % 16.43/16.60 (step @p377 :rule cnf_and_neg :args (@t175)) % 16.43/16.60 (step @p378 :rule resolution :premises (@p377 @p376) :args (true @t175)) % 16.43/16.60 (step @p379 :rule reordering :premises (@p378) :args ((or (not @t137) (not @t139) (not @t140) (not @t142) @t132 (not @t144) (not @t145) (not @t146) (not @t128) (not @t147) (not @t149) (not @t120) (not @t122) (not @t152) (not @t154) (not @t157) (not @t159) (not @t162) (not @t164) (not @t118) (not @t108) (not @t103) @t176 (not @t96) (not @t168) (not @t169) (not @t171) (not @t174)))) % 16.43/16.60 (step @p380 :rule chain_m_resolution :premises (@p379 @p201 @p200 @p196 @p195 @p194 @p188 @p184 @p180 @p179 @p164 @p160 @p159 @p156 @p153 @p152 @p151 @p150 @p149 @p148 @p147 @p104 @p95 @p85 @p31 @p30 @p29 @p28) :args (@t176 (@list false false false false true false false false false false false false false false false false false false false false false false false false false false false) (@list @t137 @t139 @t140 @t142 @t132 @t144 @t145 @t146 @t128 @t147 @t149 @t120 @t122 @t152 @t154 @t157 @t159 @t162 @t164 @t118 @t108 @t103 @t96 @t168 @t169 @t171 @t174))) % 16.43/16.60 (step @p381 :rule cnf_and_pos :args (@t177 2)) % 16.43/16.60 (step @p382 :rule reordering :premises (@p381) :args ((or @t165 @t178))) % 16.43/16.60 (step @p383 :rule chain_m_resolution :premises (@p382 @p380) :args (@t178 @t87 (@list @t165))) % 16.43/16.60 (step @p384 :rule cnf_equiv_pos1 :args (@t180)) % 16.43/16.60 (step @p385 :rule reordering :premises (@p384) :args ((or @t181 @t177 (not @t180)))) % 16.43/16.60 (step @p386 :rule chain_m_resolution :premises (@p385 @p383 @p27) :args (@t181 @t135 (@list @t177 @t180))) % 16.43/16.60 (step @p387 :rule refl :args (@t179)) % 16.43/16.60 (step @p388 :rule bool-double-not-elim :args (@t58)) % 16.43/16.60 (step @p389 :rule nary_cong :premises (@p388 @p387) :args ((or (not @t182) @t179))) % 16.43/16.60 (step @p390 :rule bool-double-not-elim :args (@t179)) % 16.43/16.60 (step @p391 :rule refl :args (@t182)) % 16.43/16.60 (step @p392 :rule cong :premises (@p391 @p390) :args ((=> @t182 @t183))) % 16.43/16.60 (assume-push @p539 @t182) % 16.43/16.60 (step @p394 :rule skolemize :premises (@p539)) % 16.43/16.60 (step-pop @p540 :rule scope :premises (@p394)) % 16.43/16.60 (step @p395 :rule process_scope :premises (@p540) :args (@t183)) % 16.43/16.60 (step @p397 :rule eq_resolve :premises (@p395 @p392)) % 16.43/16.60 (step @p398 :rule implies_elim :premises (@p397)) % 16.43/16.60 (step @p399 :rule eq_resolve :premises (@p398 @p389)) % 16.43/16.60 (step @p400 :rule chain_m_resolution :premises (@p399 @p386) :args (@t58 @t87 (@list @t179))) % 16.43/16.60 (step @p401 :rule instantiate :premises (@p26) :args (@t184)) % 16.43/16.60 (step @p402 :rule instantiate :premises (@p1) :args (@t184)) % 16.43/16.60 (step @p403 :rule symm :premises (@p402)) % 16.43/16.60 (step @p404 :rule instantiate :premises (@p163) :args (@t185)) % 16.43/16.60 (step @p405 :rule trans :premises (@p404 @p403)) % 16.43/16.60 (step @p406 :rule eq-symm :args (@t18 @t1)) % 16.43/16.60 (step @p407 :rule cong :premises (@p406) :args (@t19)) % 16.43/16.60 (step @p408 :rule eq_resolve :premises (@p7 @p407)) % 16.43/16.60 (step @p409 :rule instantiate :premises (@p408) :args (@t186)) % 16.43/16.60 (step @p410 :rule instantiate :premises (@p183) :args (@t186)) % 16.43/16.60 (step @p411 :rule cnf_and_neg :args (@t190)) % 16.43/16.60 (step @p412 :rule reordering :premises (@p411) :args ((or (not @t189) (not @t188) @t190 (not @t187)))) % 16.43/16.60 (step @p413 :rule chain_m_resolution :premises (@p412 @p410 @p409 @p405) :args (@t190 (@list false false false) (@list @t189 @t188 @t187))) % 16.43/16.60 (step @p414 :rule cnf_equiv_pos2 :args (@t192)) % 16.43/16.60 (step @p415 :rule reordering :premises (@p414) :args ((or @t191 (not @t190) (not @t192)))) % 16.43/16.60 (step @p416 :rule chain_m_resolution :premises (@p415 @p413 @p401) :args (@t191 @t91 (@list @t190 @t192))) % 16.43/16.60 (assume-push @p541 @t58) % 16.43/16.60 (step @p418 :rule instantiate :premises (@p541) :args (@t185)) % 16.43/16.60 (step-pop @p542 :rule scope :premises (@p418)) % 16.43/16.60 (step @p419 :rule process_scope :premises (@p542) :args ((not @t191))) % 16.43/16.60 (step @p421 :rule implies_elim :premises (@p419)) % 16.43/16.60 (step @p422 false :rule chain_m_resolution :premises (@p421 @p416 @p400) :args (false @t91 (@list @t191 @t58))) % 16.43/16.60 ) % 16.43/16.60 % SZS output end Proof % 16.43/16.60 % cvc5 exiting %------------------------------------------------------------------------------