%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE016+3 : 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 : n027.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 17.55s 17.71s % Output : Proof 17.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE016+3 : 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 % 0.17/0.34 % Computer : n027.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 05:10:21 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 17.55/17.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 17.55/17.71 --- Run --no-e-matching --full-saturate-quant at 6... % 17.55/17.71 % SZS status Theorem % 17.55/17.71 % SZS output start Proof % 17.55/17.71 ( % 17.55/17.71 (declare-sort $$unsorted 0) % 17.55/17.71 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 17.55/17.71 (declare-const tptp.test (-> $$unsorted Bool)) % 17.55/17.71 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 17.55/17.71 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 17.55/17.71 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 17.55/17.71 (declare-const tptp.zero $$unsorted) % 17.55/17.71 (declare-const tptp.one $$unsorted) % 17.55/17.71 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 17.55/17.71 (define @t1 () (@var "A" $$unsorted)) % 17.55/17.71 (define @t2 () (@var "B" $$unsorted)) % 17.55/17.71 (define @t3 () (tptp.addition @t1 @t2)) % 17.55/17.71 (define @t4 () (@list @t1 @t2)) % 17.55/17.71 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 17.55/17.71 (define @t6 () (@var "C" $$unsorted)) % 17.55/17.71 (define @t7 () (tptp.addition @t2 @t6)) % 17.55/17.71 (define @t8 () (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 17.55/17.71 (define @t9 () (tptp.addition @t1 tptp.zero)) % 17.55/17.71 (define @t10 () (@list @t1)) % 17.55/17.71 (define @t11 () (forall @t10 (= @t9 @t1))) % 17.55/17.71 (define @t12 () (tptp.addition @t1 @t1)) % 17.55/17.71 (define @t13 () (forall @t10 (= @t12 @t1))) % 17.55/17.71 (define @t14 () (tptp.multiplication @t1 @t2)) % 17.55/17.71 (define @t15 () (tptp.multiplication @t2 @t6)) % 17.55/17.71 (define @t16 () (@list @t1 @t2 @t6)) % 17.55/17.71 (define @t17 () (tptp.multiplication @t1 tptp.one)) % 17.55/17.71 (define @t18 () (forall @t10 (= @t17 @t1))) % 17.55/17.71 (define @t19 () (tptp.multiplication tptp.one @t1)) % 17.55/17.71 (define @t20 () (forall @t10 (= @t19 @t1))) % 17.55/17.71 (define @t21 () (tptp.multiplication @t1 @t6)) % 17.55/17.71 (define @t22 () (tptp.multiplication tptp.zero @t1)) % 17.55/17.71 (define @t23 () (forall @t10 (= @t22 tptp.zero))) % 17.55/17.71 (define @t24 () (tptp.leq @t1 @t2)) % 17.55/17.71 (define @t25 () (= @t24 (= @t3 @t2))) % 17.55/17.71 (define @t26 () (forall @t4 @t25)) % 17.55/17.71 (define @t27 () (@var "X0" $$unsorted)) % 17.55/17.71 (define @t28 () (@var "X1" $$unsorted)) % 17.55/17.71 (define @t29 () (tptp.complement @t28 @t27)) % 17.55/17.71 (define @t30 () (@list @t28)) % 17.55/17.71 (define @t31 () (exists @t30 @t29)) % 17.55/17.71 (define @t32 () (tptp.test @t27)) % 17.55/17.71 (define @t33 () (= @t32 @t31)) % 17.55/17.71 (define @t34 () (@list @t27)) % 17.55/17.71 (define @t35 () (forall @t34 @t33)) % 17.55/17.71 (define @t36 () (tptp.addition @t27 @t28)) % 17.55/17.71 (define @t37 () (tptp.multiplication @t28 @t27)) % 17.55/17.71 (define @t38 () (tptp.multiplication @t27 @t28)) % 17.55/17.71 (define @t39 () (and (= @t38 tptp.zero) (= @t37 tptp.zero) (= @t36 tptp.one))) % 17.55/17.71 (define @t40 () (= @t29 @t39)) % 17.55/17.71 (define @t41 () (@list @t27 @t28)) % 17.55/17.71 (define @t42 () (forall @t41 @t40)) % 17.55/17.71 (define @t43 () (tptp.complement @t27 @t28)) % 17.55/17.71 (define @t44 () (tptp.c @t27)) % 17.55/17.71 (define @t45 () (= (= @t44 @t28) @t43)) % 17.55/17.71 (define @t46 () (=> @t32 @t45)) % 17.55/17.71 (define @t47 () (forall @t41 @t46)) % 17.55/17.71 (define @t48 () (not @t32)) % 17.55/17.71 (define @t49 () (=> @t48 (= @t44 tptp.zero))) % 17.55/17.71 (define @t50 () (forall @t34 @t49)) % 17.55/17.71 (define @t51 () (tptp.c @t38)) % 17.55/17.71 (define @t52 () (tptp.addition @t44 (tptp.c @t28))) % 17.55/17.71 (define @t53 () (and (tptp.leq @t51 @t52) (tptp.leq @t52 @t51))) % 17.55/17.71 (define @t54 () (tptp.test @t28)) % 17.55/17.71 (define @t55 () (and @t54 @t32)) % 17.55/17.71 (define @t56 () (forall @t41 (=> @t55 @t53))) % 17.55/17.71 (define @t57 () (not @t56)) % 17.55/17.71 (define @t58 () (not @t54)) % 17.55/17.71 (define @t59 () (or @t58 @t48 @t53)) % 17.55/17.71 (define @t60 () (forall @t41 @t59)) % 17.55/17.71 (define @t61 () (@quantifiers_skolemize @t60 1)) % 17.55/17.71 (define @t62 () (tptp.c @t61)) % 17.55/17.71 (define @t63 () (@quantifiers_skolemize @t60 0)) % 17.55/17.71 (define @t64 () (tptp.c @t63)) % 17.55/17.71 (define @t65 () (tptp.addition @t64 @t62)) % 17.55/17.71 (define @t66 () (tptp.multiplication @t63 @t61)) % 17.55/17.71 (define @t67 () (@list @t66 @t65)) % 17.55/17.71 (define @t68 () (@list @t62)) % 17.55/17.71 (define @t69 () (tptp.addition @t64 (tptp.addition @t62 @t62))) % 17.55/17.71 (define @t70 () (tptp.addition @t65 @t62)) % 17.55/17.71 (define @t71 () (= @t69 @t70)) % 17.55/17.71 (define @t72 () (@list false)) % 17.55/17.71 (define @t73 () (= @t28 @t44)) % 17.55/17.71 (define @t74 () (= @t43 @t73)) % 17.55/17.71 (define @t75 () (tptp.complement @t61 @t62)) % 17.55/17.71 (define @t76 () (= @t62 @t62)) % 17.55/17.71 (define @t77 () (tptp.test @t61)) % 17.55/17.71 (define @t78 () (not @t77)) % 17.55/17.71 (define @t79 () (or @t78 (= @t75 @t76))) % 17.55/17.71 (define @t80 () (forall @t41 (or @t48 @t74))) % 17.55/17.71 (define @t81 () (@list @t61 @t62)) % 17.55/17.71 (define @t82 () (or @t78 @t75)) % 17.55/17.71 (define @t83 () (@list @t80)) % 17.55/17.71 (define @t84 () (tptp.c @t66)) % 17.55/17.71 (define @t85 () (tptp.leq @t65 @t84)) % 17.55/17.71 (define @t86 () (tptp.leq @t84 @t65)) % 17.55/17.71 (define @t87 () (and @t86 @t85)) % 17.55/17.71 (define @t88 () (tptp.test @t63)) % 17.55/17.71 (define @t89 () (not @t88)) % 17.55/17.71 (define @t90 () (or @t78 @t89 @t87)) % 17.55/17.71 (define @t91 () (@list true)) % 17.55/17.71 (define @t92 () (@list @t90)) % 17.55/17.71 (define @t93 () (@list false false)) % 17.55/17.71 (define @t94 () (tptp.addition @t62 @t61)) % 17.55/17.71 (define @t95 () (= tptp.one @t94)) % 17.55/17.71 (define @t96 () (= tptp.zero (tptp.multiplication @t61 @t62))) % 17.55/17.71 (define @t97 () (tptp.multiplication @t62 @t61)) % 17.55/17.71 (define @t98 () (= tptp.zero @t97)) % 17.55/17.71 (define @t99 () (and @t98 @t96 @t95)) % 17.55/17.71 (define @t100 () (= @t75 @t99)) % 17.55/17.71 (define @t101 () (not @t99)) % 17.55/17.71 (define @t102 () (@list @t99)) % 17.55/17.71 (define @t103 () (tptp.addition @t61 @t62)) % 17.55/17.71 (define @t104 () (@list @t61)) % 17.55/17.71 (define @t105 () (tptp.complement @t63 @t64)) % 17.55/17.71 (define @t106 () (= @t64 @t64)) % 17.55/17.71 (define @t107 () (or @t89 (= @t105 @t106))) % 17.55/17.71 (define @t108 () (@list @t63 @t64)) % 17.55/17.71 (define @t109 () (or @t89 @t105)) % 17.55/17.71 (define @t110 () (tptp.addition @t64 @t63)) % 17.55/17.71 (define @t111 () (= tptp.one @t110)) % 17.55/17.71 (define @t112 () (tptp.multiplication @t63 @t64)) % 17.55/17.71 (define @t113 () (= tptp.zero @t112)) % 17.55/17.71 (define @t114 () (= tptp.zero (tptp.multiplication @t64 @t63))) % 17.55/17.71 (define @t115 () (and @t114 @t113 @t111)) % 17.55/17.71 (define @t116 () (= @t105 @t115)) % 17.55/17.71 (define @t117 () (not @t115)) % 17.55/17.71 (define @t118 () (@list @t115)) % 17.55/17.71 (define @t119 () (@list @t63)) % 17.55/17.71 (define @t120 () (tptp.multiplication @t63 @t63)) % 17.55/17.71 (define @t121 () (tptp.addition @t63 @t63)) % 17.55/17.71 (define @t122 () (tptp.addition @t120 @t63)) % 17.55/17.71 (define @t123 () (tptp.addition @t94 @t63)) % 17.55/17.71 (define @t124 () (tptp.addition tptp.one @t63)) % 17.55/17.71 (define @t125 () (tptp.multiplication @t63 @t62)) % 17.55/17.71 (define @t126 () (tptp.multiplication @t62 @t62)) % 17.55/17.71 (define @t127 () (tptp.multiplication @t62 tptp.one)) % 17.55/17.71 (define @t128 () (@list @t62 @t63 @t62)) % 17.55/17.71 (define @t129 () (tptp.addition @t63 @t62)) % 17.55/17.71 (define @t130 () (tptp.multiplication @t63 tptp.one)) % 17.55/17.71 (define @t131 () (tptp.multiplication @t61 @t64)) % 17.55/17.71 (define @t132 () (tptp.addition @t61 @t63)) % 17.55/17.71 (define @t133 () (tptp.multiplication @t61 @t61)) % 17.55/17.71 (define @t134 () (tptp.multiplication @t62 @t63)) % 17.55/17.71 (define @t135 () (@list @t66)) % 17.55/17.71 (define @t136 () (tptp.addition @t63 @t65)) % 17.55/17.71 (define @t137 () (tptp.addition @t66 @t65)) % 17.55/17.71 (define @t138 () (= tptp.one @t137)) % 17.55/17.71 (define @t139 () (= tptp.zero (tptp.multiplication @t65 @t66))) % 17.55/17.71 (define @t140 () (= tptp.zero (tptp.multiplication @t66 @t65))) % 17.55/17.71 (define @t141 () (and @t140 @t139 @t138)) % 17.55/17.71 (define @t142 () (@list false false false)) % 17.55/17.71 (define @t143 () (tptp.complement @t65 @t66)) % 17.55/17.71 (define @t144 () (= @t143 @t141)) % 17.55/17.71 (define @t145 () (tptp.complement @t66 @t65)) % 17.55/17.71 (define @t146 () (= @t65 @t84)) % 17.55/17.71 (define @t147 () (tptp.test @t66)) % 17.55/17.71 (define @t148 () (not @t147)) % 17.55/17.71 (define @t149 () (or @t148 (= @t145 @t146))) % 17.55/17.71 (define @t150 () (= @t84 @t65)) % 17.55/17.71 (define @t151 () (= @t150 @t145)) % 17.55/17.71 (define @t152 () (or @t148 @t151)) % 17.55/17.71 (define @t153 () (@list @t65 @t66)) % 17.55/17.71 (define @t154 () (tptp.addition @t65 @t66)) % 17.55/17.71 (define @t155 () (= @t154 @t137)) % 17.55/17.71 (define @t156 () (= tptp.one @t154)) % 17.55/17.71 (define @t157 () (and @t139 @t140 @t156)) % 17.55/17.71 (define @t158 () (= @t145 @t157)) % 17.55/17.71 (define @t159 () (tptp.leq @t65 @t65)) % 17.55/17.71 (define @t160 () (tptp.addition @t65 @t65)) % 17.55/17.71 (define @t161 () (= @t65 @t160)) % 17.55/17.71 (define @t162 () (forall @t4 (= @t24 (= @t2 @t3)))) % 17.55/17.71 (define @t163 () (= @t159 @t161)) % 17.55/17.71 (define @t164 () (= @t161 @t159)) % 17.55/17.71 (define @t165 () (@list @t65)) % 17.55/17.71 (define @t166 () (not @t161)) % 17.55/17.71 (define @t167 () (@list @t84 @t65)) % 17.55/17.71 (define @t168 () (tptp.addition @t84 @t65)) % 17.55/17.71 (define @t169 () (= @t168 (tptp.addition @t65 @t84))) % 17.55/17.71 (define @t170 () (= @t65 @t168)) % 17.55/17.71 (define @t171 () (and @t150 @t161 @t169)) % 17.55/17.71 (define @t172 () (not @t150)) % 17.55/17.71 (define @t173 () (not @t169)) % 17.55/17.71 (define @t174 () (not @t151)) % 17.55/17.71 (define @t175 () (= tptp.zero @t44)) % 17.55/17.71 (define @t176 () (= tptp.zero @t84)) % 17.55/17.71 (define @t177 () (or @t147 @t176)) % 17.55/17.71 (define @t178 () (tptp.addition @t65 tptp.zero)) % 17.55/17.71 (define @t179 () (= @t65 @t178)) % 17.55/17.71 (define @t180 () (and @t176 @t179 @t169)) % 17.55/17.71 (define @t181 () (= @t86 @t170)) % 17.55/17.71 (define @t182 () (not @t85)) % 17.55/17.71 (define @t183 () (@list true false)) % 17.55/17.71 (define @t184 () (not @t159)) % 17.55/17.71 (define @t185 () (and @t159 @t150 @t182)) % 17.55/17.71 (define @t186 () (forall @t30 (not (tptp.complement @t28 @t66)))) % 17.55/17.71 (define @t187 () (not @t186)) % 17.55/17.71 (define @t188 () (= @t147 @t187)) % 17.55/17.71 (define @t189 () (not @t188)) % 17.55/17.71 (assume @p1 @t5) % 17.55/17.71 (assume @p2 @t8) % 17.55/17.71 (assume @p3 @t11) % 17.55/17.71 (assume @p4 @t13) % 17.55/17.71 (assume @p5 (forall @t16 (= (tptp.multiplication @t1 @t15) (tptp.multiplication @t14 @t6)))) % 17.55/17.71 (assume @p6 @t18) % 17.55/17.71 (assume @p7 @t20) % 17.55/17.71 (assume @p8 (forall @t16 (= (tptp.multiplication @t1 @t7) (tptp.addition @t14 @t21)))) % 17.55/17.71 (assume @p9 (forall @t16 (= (tptp.multiplication @t3 @t6) (tptp.addition @t21 @t15)))) % 17.55/17.71 (assume @p10 (forall @t10 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 17.55/17.71 (assume @p11 @t23) % 17.55/17.71 (assume @p12 @t26) % 17.55/17.71 (assume @p13 @t35) % 17.55/17.71 (assume @p14 @t42) % 17.55/17.71 (assume @p15 @t47) % 17.55/17.71 (assume @p16 @t50) % 17.55/17.71 (assume @p17 @t57) % 17.55/17.71 (assume @p18 true) % 17.55/17.71 (step @p19 :rule eq-symm :args (@t36 tptp.one)) % 17.55/17.71 (step @p20 :rule eq-symm :args (@t37 tptp.zero)) % 17.55/17.71 (step @p21 :rule eq-symm :args (@t38 tptp.zero)) % 17.55/17.71 (step @p22 :rule nary_cong :premises (@p21 @p20 @p19) :args (@t39)) % 17.55/17.71 (step @p23 :rule refl :args (@t29)) % 17.55/17.71 (step @p24 :rule cong :premises (@p23 @p22) :args (@t40)) % 17.55/17.71 (step @p25 :rule cong :premises (@p24) :args (@t42)) % 17.55/17.71 (step @p26 :rule eq_resolve :premises (@p14 @p25)) % 17.55/17.71 (step @p27 :rule instantiate :premises (@p26) :args (@t67)) % 17.55/17.71 (step @p28 :rule eq-symm :args (@t12 @t1)) % 17.55/17.71 (step @p29 :rule cong :premises (@p28) :args (@t13)) % 17.55/17.71 (step @p30 :rule eq_resolve :premises (@p4 @p29)) % 17.55/17.71 (step @p31 :rule instantiate :premises (@p30) :args (@t68)) % 17.55/17.71 (step @p32 :rule symm :premises (@p31)) % 17.55/17.71 (step @p33 :rule refl :args (@t64)) % 17.55/17.71 (step @p34 :rule cong :premises (@p33 @p32) :args (@t69)) % 17.55/17.71 (step @p35 :rule eq-symm :args (@t69 @t70)) % 17.55/17.71 (step @p36 :rule refl :args (@t8)) % 17.55/17.71 (step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t8 @t71))) % 17.55/17.71 (assume-push @p560 @t8) % 17.55/17.71 (step @p39 :rule instantiate :premises (@p2) :args ((@list @t62 @t62 @t64))) % 17.55/17.71 (step-pop @p561 :rule scope :premises (@p39)) % 17.55/17.71 (step @p40 :rule process_scope :premises (@p561) :args (@t71)) % 17.55/17.71 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 17.55/17.71 (step @p43 :rule implies_elim :premises (@p42)) % 17.55/17.71 (step @p44 :rule chain_m_resolution :premises (@p43 @p2) :args ((= @t70 @t69) @t72 (@list @t8))) % 17.55/17.71 (step @p45 :rule instantiate :premises (@p1) :args ((@list @t62 @t65))) % 17.55/17.71 (step @p46 :rule trans :premises (@p45 @p44 @p34)) % 17.55/17.71 (step @p47 :rule refl :args (@t66)) % 17.55/17.71 (step @p48 :rule cong :premises (@p47 @p46) :args ((tptp.addition @t66 (tptp.addition @t62 @t65)))) % 17.55/17.71 (step @p49 :rule instantiate :premises (@p2) :args ((@list @t65 @t62 @t66))) % 17.55/17.71 (step @p50 :rule symm :premises (@p49)) % 17.55/17.71 (step @p51 :rule refl :args (@t65)) % 17.55/17.71 (step @p52 :rule eq-symm :args (@t19 @t1)) % 17.55/17.71 (step @p53 :rule cong :premises (@p52) :args (@t20)) % 17.55/17.71 (step @p54 :rule eq_resolve :premises (@p7 @p53)) % 17.55/17.71 (step @p55 :rule instantiate :premises (@p54) :args (@t68)) % 17.55/17.71 (step @p56 :rule symm :premises (@p55)) % 17.55/17.71 (step @p57 :rule refl :args (@t62)) % 17.55/17.71 (step @p58 :rule instantiate :premises (@p30) :args ((@list tptp.one))) % 17.55/17.71 (step @p59 :rule symm :premises (@p58)) % 17.55/17.71 (step @p60 :rule instantiate :premises (@p26) :args ((@list @t62 @t61))) % 17.55/17.71 (step @p61 :rule bool-impl-elim :args (@t32 @t74)) % 17.55/17.71 (step @p62 :rule cong :premises (@p61) :args ((forall @t41 (=> @t32 @t74)))) % 17.55/17.71 (step @p63 :rule eq-symm :args (@t73 @t43)) % 17.55/17.71 (step @p64 :rule refl :args (@t43)) % 17.55/17.71 (step @p65 :rule eq-symm :args (@t44 @t28)) % 17.55/17.71 (step @p66 :rule cong :premises (@p65 @p64) :args (@t45)) % 17.55/17.71 (step @p67 :rule trans :premises (@p66 @p63)) % 17.55/17.71 (step @p68 :rule refl :args (@t32)) % 17.55/17.71 (step @p69 :rule cong :premises (@p68 @p67) :args (@t46)) % 17.55/17.71 (step @p70 :rule cong :premises (@p69) :args (@t47)) % 17.55/17.71 (step @p71 :rule trans :premises (@p70 @p62)) % 17.55/17.71 (step @p72 :rule eq_resolve :premises (@p15 @p71)) % 17.55/17.71 (step @p73 :rule bool-eq-true :args (@t75)) % 17.55/17.71 (step @p74 :rule eq-symm :args (true @t75)) % 17.55/17.71 (step @p75 :rule trans :premises (@p74 @p73)) % 17.55/17.71 (step @p76 :rule refl :args (@t75)) % 17.55/17.71 (step @p77 :rule eq-refl :args (@t62)) % 17.55/17.71 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t76 @t75))) % 17.55/17.71 (step @p79 :rule trans :premises (@p78 @p75)) % 17.55/17.71 (step @p80 :rule eq-symm :args (@t75 @t76)) % 17.55/17.71 (step @p81 :rule trans :premises (@p80 @p79)) % 17.55/17.71 (step @p82 :rule refl :args (@t78)) % 17.55/17.71 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t79)) % 17.55/17.71 (step @p84 :rule refl :args (@t80)) % 17.55/17.71 (step @p85 :rule cong :premises (@p84 @p83) :args ((=> @t80 @t79))) % 17.55/17.71 (assume-push @p562 @t80) % 17.55/17.71 (step @p87 :rule 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(step @p504 :rule chain_m_resolution :premises (@p503 @p437 @p481 @p480 @p478 @p465 @p399 @p463 @p416 @p461 @p437 @p432) :args (@t170 (@list false false false false true false true false true false false) (@list @t169 @t179 @t176 @t177 @t147 @t152 @t151 @t145 @t150 @t169 @t161))) % 17.55/17.71 (step @p505 :rule cnf_equiv_pos2 :args (@t181)) % 17.55/17.71 (step @p506 :rule reordering :premises (@p505) :args ((or @t86 (not @t170) (not @t181)))) % 17.55/17.71 (step @p507 :rule chain_m_resolution :premises (@p506 @p504 @p436) :args (@t86 @t93 (@list @t170 @t181))) % 17.55/17.71 (step @p508 :rule cnf_or_neg :args (@t90 2)) % 17.55/17.71 (step @p509 :rule chain_m_resolution :premises (@p508 @p103) :args ((not @t87) @t91 @t92)) % 17.55/17.71 (step @p510 :rule cnf_and_neg :args (@t87)) % 17.55/17.71 (step @p511 :rule chain_m_resolution :premises (@p510 @p509 @p507) :args (@t182 @t183 (@list @t87 @t86))) % 17.55/17.71 (step @p512 :rule refl :args (@t184)) % 17.55/17.71 (step @p513 :rule refl :args (@t172)) % 17.55/17.71 (step @p514 :rule bool-double-not-elim :args (@t85)) % 17.55/17.71 (step @p515 :rule nary_cong :premises (@p514 @p513 @p512) :args ((or (not @t182) @t172 @t184))) % 17.55/17.71 (assume-push @p596 @t159) % 17.55/17.71 (assume-push @p597 @t150) % 17.55/17.71 (assume-push @p598 @t182) % 17.55/17.71 (step @p519 :rule evaluate :args ((= false true))) % 17.55/17.71 (step @p520 :rule true_intro :premises (@p435)) % 17.55/17.71 (step @p521 :rule cong :premises (@p51 @p597) :args (@t85)) % 17.55/17.71 (step @p522 :rule false_intro :premises (@p598)) % 17.55/17.71 (step @p523 :rule symm :premises (@p522)) % 17.55/17.71 (step @p524 :rule trans :premises (@p523 @p521 @p520)) % 17.55/17.71 (step @p525 false :rule eq_resolve :premises (@p524 @p519)) % 17.55/17.71 (step-pop @p599 :rule scope :premises (@p525)) % 17.55/17.71 (step-pop @p600 :rule scope :premises (@p599)) % 17.55/17.71 (step-pop @p601 :rule scope :premises (@p600)) % 17.55/17.71 (step @p526 :rule process_scope :premises (@p601) :args (false)) % 17.55/17.71 (assume-push @p602 @t182) % 17.55/17.71 (assume-push @p603 @t150) % 17.55/17.71 (assume-push @p604 @t159) % 17.55/17.71 (step @p533 :rule and_intro :premises (@p435 @p603 @p602)) % 17.55/17.71 (step-pop @p605 :rule scope :premises (@p533)) % 17.55/17.71 (step-pop @p606 :rule scope :premises (@p605)) % 17.55/17.71 (step-pop @p607 :rule scope :premises (@p606)) % 17.55/17.71 (step @p534 :rule process_scope :premises (@p607) :args (@t185)) % 17.55/17.71 (step @p538 :rule implies_elim :premises (@p534)) % 17.55/17.71 (step @p539 :rule resolution :premises (@p538 @p526) :args (true @t185)) % 17.55/17.71 (step @p540 :rule not_and :premises (@p539)) % 17.55/17.71 (step @p541 :rule eq_resolve :premises (@p540 @p515)) % 17.55/17.71 (step @p542 :rule reordering :premises (@p541) :args ((or @t85 @t184 @t172))) % 17.55/17.71 (step @p543 :rule chain_m_resolution :premises (@p542 @p511 @p435) :args (@t172 @t183 (@list @t85 @t159))) % 17.55/17.71 (step @p544 :rule chain_m_resolution :premises (@p463 @p543 @p416) :args (@t174 @t183 (@list @t150 @t145))) % 17.55/17.71 (step @p545 :rule chain_m_resolution :premises (@p465 @p544 @p399) :args (@t148 @t183 (@list @t151 @t152))) % 17.55/17.71 (step @p546 :rule bool-double-not-elim :args (@t186)) % 17.55/17.71 (step @p547 :rule refl :args (@t147)) % 17.55/17.71 (step @p548 :rule refl :args (@t189)) % 17.55/17.71 (step @p549 :rule nary_cong :premises (@p548 @p547 @p546) :args ((or @t189 @t147 (not @t187)))) % 17.55/17.71 (step @p550 :rule cnf_equiv_pos2 :args (@t188)) % 17.55/17.71 (step @p551 :rule eq_resolve :premises (@p550 @p549)) % 17.55/17.71 (step @p552 :rule reordering :premises (@p551) :args ((or @t147 @t186 @t189))) % 17.55/17.71 (step @p553 :rule chain_m_resolution :premises (@p552 @p545 @p384) :args (@t186 @t183 (@list @t147 @t188))) % 17.55/17.71 (assume-push @p608 @t186) % 17.55/17.71 (step @p555 :rule instantiate :premises (@p608) :args (@t165)) % 17.55/17.71 (step-pop @p609 :rule scope :premises (@p555)) % 17.55/17.71 (step @p556 :rule process_scope :premises (@p609) :args ((not @t143))) % 17.55/17.71 (step @p558 :rule implies_elim :premises (@p556)) % 17.55/17.71 (step @p559 false :rule chain_m_resolution :premises (@p558 @p553 @p379) :args (false @t93 (@list @t186 @t143))) % 17.55/17.71 ) % 17.55/17.71 % SZS output end Proof % 17.55/17.71 % cvc5 exiting %------------------------------------------------------------------------------