%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT239-1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:29:58 AM UTC 2026 % Result : Unsatisfiable 0.84s 1.06s % Output : Proof 0.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT239-1 : TPTP v9.2.1. Released v3.1.0. % 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 : 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 06:05:29 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.84/1.06 % SZS status Unsatisfiable % 0.84/1.06 % SZS output start Proof % 0.84/1.07 ( % 0.84/1.07 (declare-sort $$unsorted 0) % 0.84/1.07 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.84/1.07 (declare-const tptp.one $$unsorted) % 0.84/1.07 (declare-const tptp.a $$unsorted) % 0.84/1.07 (declare-const tptp.zero $$unsorted) % 0.84/1.07 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.07 (declare-const tptp.b $$unsorted) % 0.84/1.07 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.07 (define @t1 () (@var "X" $$unsorted)) % 0.84/1.07 (define @t2 () (tptp.meet @t1 @t1)) % 0.84/1.07 (define @t3 () (@list @t1)) % 0.84/1.07 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.84/1.07 (define @t5 () (tptp.join @t1 @t1)) % 0.84/1.07 (define @t6 () (forall @t3 (= @t5 @t1))) % 0.84/1.07 (define @t7 () (@var "Y" $$unsorted)) % 0.84/1.07 (define @t8 () (tptp.join @t1 @t7)) % 0.84/1.07 (define @t9 () (tptp.meet @t1 @t8)) % 0.84/1.07 (define @t10 () (@list @t1 @t7)) % 0.84/1.07 (define @t11 () (forall @t10 (= @t9 @t1))) % 0.84/1.07 (define @t12 () (tptp.meet @t1 @t7)) % 0.84/1.07 (define @t13 () (tptp.join @t1 @t12)) % 0.84/1.07 (define @t14 () (forall @t10 (= @t13 @t1))) % 0.84/1.07 (define @t15 () (@var "Z" $$unsorted)) % 0.84/1.07 (define @t16 () (@list @t1 @t7 @t15)) % 0.84/1.07 (define @t17 () (tptp.complement @t1)) % 0.84/1.07 (define @t18 () (tptp.join @t1 @t17)) % 0.84/1.07 (define @t19 () (forall @t3 (= @t18 tptp.one))) % 0.84/1.07 (define @t20 () (tptp.meet @t1 @t17)) % 0.84/1.07 (define @t21 () (forall @t3 (= @t20 tptp.zero))) % 0.84/1.07 (define @t22 () (not (= @t8 tptp.one))) % 0.84/1.07 (define @t23 () (not (= @t12 tptp.zero))) % 0.84/1.07 (define @t24 () (or @t23 @t22 (= @t17 @t7))) % 0.84/1.07 (define @t25 () (forall @t10 @t24)) % 0.84/1.07 (define @t26 () (@var "U" $$unsorted)) % 0.84/1.07 (define @t27 () (tptp.meet tptp.b tptp.a)) % 0.84/1.07 (define @t28 () (tptp.complement tptp.a)) % 0.84/1.07 (define @t29 () (tptp.complement tptp.b)) % 0.84/1.07 (define @t30 () (tptp.join @t29 @t28)) % 0.84/1.07 (define @t31 () (tptp.join tptp.a @t28)) % 0.84/1.07 (define @t32 () (tptp.meet @t30 @t31)) % 0.84/1.07 (define @t33 () (tptp.join @t29 @t32)) % 0.84/1.07 (define @t34 () (tptp.join tptp.a @t33)) % 0.84/1.07 (define @t35 () (not (= @t34 tptp.one))) % 0.84/1.07 (define @t36 () (tptp.meet tptp.a @t33)) % 0.84/1.07 (define @t37 () (not (= @t36 tptp.zero))) % 0.84/1.07 (define @t38 () (or @t37 @t35 (= @t33 @t28))) % 0.84/1.07 (define @t39 () (forall @t10 (or @t23 @t22 (= @t7 @t17)))) % 0.84/1.07 (define @t40 () (= @t28 @t33)) % 0.84/1.07 (define @t41 () (= tptp.one @t34)) % 0.84/1.07 (define @t42 () (not @t41)) % 0.84/1.07 (define @t43 () (= tptp.zero @t36)) % 0.84/1.07 (define @t44 () (not @t43)) % 0.84/1.07 (define @t45 () (or @t44 @t42 @t40)) % 0.84/1.07 (define @t46 () (@list false)) % 0.84/1.07 (define @t47 () (@list @t39)) % 0.84/1.07 (define @t48 () (@list @t29 @t30)) % 0.84/1.07 (define @t49 () (@list @t29 @t28)) % 0.84/1.07 (define @t50 () (tptp.meet @t29 @t30)) % 0.84/1.07 (define @t51 () (tptp.join @t28 @t29)) % 0.84/1.07 (define @t52 () (tptp.join @t51 @t50)) % 0.84/1.07 (define @t53 () (@list @t28 @t29)) % 0.84/1.07 (define @t54 () (tptp.meet @t28 @t30)) % 0.84/1.07 (define @t55 () (tptp.join @t28 @t54)) % 0.84/1.07 (define @t56 () (tptp.join @t28 @t28)) % 0.84/1.07 (define @t57 () (tptp.meet @t29 @t56)) % 0.84/1.07 (define @t58 () (@list @t29)) % 0.84/1.07 (define @t59 () (tptp.meet @t29 @t29)) % 0.84/1.07 (define @t60 () (tptp.join @t59 @t57)) % 0.84/1.07 (define @t61 () (tptp.join @t28 @t60)) % 0.84/1.07 (define @t62 () (tptp.complement @t29)) % 0.84/1.07 (define @t63 () (= tptp.b @t62)) % 0.84/1.07 (define @t64 () (tptp.join @t29 tptp.b)) % 0.84/1.07 (define @t65 () (not (= @t64 tptp.one))) % 0.84/1.07 (define @t66 () (tptp.meet @t29 tptp.b)) % 0.84/1.07 (define @t67 () (not (= @t66 tptp.zero))) % 0.84/1.07 (define @t68 () (or @t67 @t65 @t63)) % 0.84/1.07 (define @t69 () (@list @t29 tptp.b)) % 0.84/1.07 (define @t70 () (= tptp.one @t64)) % 0.84/1.07 (define @t71 () (not @t70)) % 0.84/1.07 (define @t72 () (= tptp.zero @t66)) % 0.84/1.07 (define @t73 () (not @t72)) % 0.84/1.07 (define @t74 () (or @t73 @t71 @t63)) % 0.84/1.07 (define @t75 () (@list tptp.b @t29)) % 0.84/1.07 (define @t76 () (@list tptp.b)) % 0.84/1.07 (define @t77 () (tptp.join @t28 tptp.b)) % 0.84/1.07 (define @t78 () (@list tptp.b tptp.a)) % 0.84/1.07 (define @t79 () (tptp.join @t27 tptp.b)) % 0.84/1.07 (define @t80 () (@list tptp.a)) % 0.84/1.07 (define @t81 () (@list tptp.a @t28)) % 0.84/1.07 (define @t82 () (tptp.meet tptp.a (tptp.join tptp.b @t27))) % 0.84/1.07 (define @t83 () (tptp.join @t27 @t82)) % 0.84/1.07 (define @t84 () (tptp.join @t28 @t27)) % 0.84/1.07 (define @t85 () (tptp.meet tptp.b (tptp.join @t84 @t82))) % 0.84/1.07 (define @t86 () (tptp.join (tptp.meet tptp.b tptp.b) @t85)) % 0.84/1.07 (define @t87 () (tptp.join tptp.b @t29)) % 0.84/1.07 (define @t88 () (tptp.join @t28 tptp.a)) % 0.84/1.07 (define @t89 () (tptp.join tptp.b @t50)) % 0.84/1.07 (define @t90 () (tptp.join @t29 @t89)) % 0.84/1.07 (define @t91 () (tptp.join @t50 @t62)) % 0.84/1.07 (define @t92 () (tptp.join @t29 @t62)) % 0.84/1.07 (define @t93 () (tptp.meet @t61 @t89)) % 0.84/1.07 (define @t94 () (tptp.join @t62 @t28)) % 0.84/1.07 (define @t95 () (tptp.meet @t30 @t94)) % 0.84/1.07 (define @t96 () (tptp.join @t50 @t95)) % 0.84/1.07 (define @t97 () (tptp.join tptp.b @t28)) % 0.84/1.07 (define @t98 () (tptp.meet @t61 @t97)) % 0.84/1.07 (define @t99 () (tptp.join @t29 @t98)) % 0.84/1.07 (define @t100 () (tptp.join @t29 @t50)) % 0.84/1.07 (define @t101 () (tptp.join @t28 @t62)) % 0.84/1.07 (define @t102 () (tptp.join @t61 tptp.b)) % 0.84/1.07 (define @t103 () (tptp.join tptp.a @t54)) % 0.84/1.07 (define @t104 () (@list @t28 tptp.a)) % 0.84/1.07 (define @t105 () (tptp.meet @t29 @t28)) % 0.84/1.07 (define @t106 () (tptp.join @t105 (tptp.meet @t28 @t56))) % 0.84/1.07 (define @t107 () (tptp.join tptp.a @t106)) % 0.84/1.07 (define @t108 () (tptp.meet @t29 @t107)) % 0.84/1.07 (define @t109 () (tptp.join @t28 @t108)) % 0.84/1.07 (define @t110 () (tptp.join @t105 (tptp.meet @t28 @t31))) % 0.84/1.07 (define @t111 () (tptp.join @t28 (tptp.meet @t29 (tptp.join tptp.a @t110)))) % 0.84/1.07 (define @t112 () (tptp.join @t28 @t106)) % 0.84/1.07 (define @t113 () (tptp.meet @t29 @t112)) % 0.84/1.07 (define @t114 () (tptp.meet tptp.a @t29)) % 0.84/1.07 (define @t115 () (tptp.join @t114 @t113)) % 0.84/1.07 (define @t116 () (tptp.meet @t28 tptp.a)) % 0.84/1.07 (define @t117 () (tptp.meet @t28 @t29)) % 0.84/1.07 (define @t118 () (tptp.join @t28 @t117)) % 0.84/1.07 (define @t119 () (tptp.join @t117 @t116)) % 0.84/1.07 (define @t120 () (tptp.join @t28 @t119)) % 0.84/1.07 (define @t121 () (tptp.meet @t27 @t29)) % 0.84/1.07 (define @t122 () (@list @t27 @t29)) % 0.84/1.07 (define @t123 () (tptp.meet tptp.b @t29)) % 0.84/1.07 (define @t124 () (tptp.join tptp.a (tptp.meet @t123 @t30))) % 0.84/1.07 (define @t125 () (tptp.meet @t29 @t124)) % 0.84/1.07 (define @t126 () (tptp.meet @t29 tptp.a)) % 0.84/1.07 (define @t127 () (tptp.meet tptp.a @t28)) % 0.84/1.07 (define @t128 () (@list tptp.a @t127)) % 0.84/1.07 (define @t129 () (tptp.join @t127 @t82)) % 0.84/1.07 (define @t130 () (tptp.meet tptp.a @t92)) % 0.84/1.07 (define @t131 () (tptp.join @t27 @t130)) % 0.84/1.07 (define @t132 () (tptp.join @t27 @t62)) % 0.84/1.07 (define @t133 () (tptp.meet tptp.a @t132)) % 0.84/1.07 (define @t134 () (tptp.join @t126 @t133)) % 0.84/1.07 (define @t135 () (tptp.meet @t29 (tptp.join @t27 @t134))) % 0.84/1.07 (define @t136 () (tptp.meet tptp.a @t101)) % 0.84/1.07 (define @t137 () (tptp.meet @t124 (tptp.join @t27 @t97))) % 0.84/1.07 (define @t138 () (tptp.join @t125 @t137)) % 0.84/1.07 (define @t139 () (tptp.join @t126 @t136)) % 0.84/1.07 (define @t140 () (tptp.join @t123 @t139)) % 0.84/1.07 (define @t141 () (tptp.meet @t29 @t140)) % 0.84/1.07 (define @t142 () (tptp.join @t27 @t139)) % 0.84/1.07 (define @t143 () (tptp.meet @t29 @t142)) % 0.84/1.07 (define @t144 () (tptp.join @t28 @t50)) % 0.84/1.07 (define @t145 () (tptp.meet @t29 @t129)) % 0.84/1.07 (define @t146 () (tptp.join @t114 @t50)) % 0.84/1.07 (define @t147 () (tptp.join @t117 @t146)) % 0.84/1.07 (define @t148 () (tptp.meet tptp.a @t147)) % 0.84/1.07 (define @t149 () (tptp.join @t126 @t148)) % 0.84/1.07 (define @t150 () (tptp.join @t82 tptp.b)) % 0.84/1.07 (define @t151 () (tptp.meet @t123 @t97)) % 0.84/1.07 (define @t152 () (tptp.meet @t29 @t123)) % 0.84/1.07 (define @t153 () (tptp.join @t152 @t151)) % 0.84/1.07 (define @t154 () (tptp.join tptp.b @t153)) % 0.84/1.07 (define @t155 () (tptp.meet @t87 @t129)) % 0.84/1.07 (define @t156 () (tptp.meet @t127 @t87)) % 0.84/1.07 (define @t157 () (tptp.join @t156 @t155)) % 0.84/1.07 (define @t158 () (tptp.join @t127 @t157)) % 0.84/1.07 (define @t159 () (tptp.meet tptp.a @t118)) % 0.84/1.07 (define @t160 () (tptp.meet @t59 tptp.a)) % 0.84/1.07 (define @t161 () (tptp.join @t126 @t127)) % 0.84/1.07 (define @t162 () (@list @t123 (tptp.meet @t29 (tptp.join @t59 @t28)))) % 0.84/1.07 (define @t163 () (tptp.meet @t29 @t62)) % 0.84/1.07 (define @t164 () (tptp.meet tptp.b @t92)) % 0.84/1.07 (define @t165 () (tptp.meet tptp.b @t132)) % 0.84/1.07 (define @t166 () (tptp.join @t66 @t165)) % 0.84/1.07 (define @t167 () (tptp.meet @t28 @t100)) % 0.84/1.07 (define @t168 () (tptp.join @t105 @t167)) % 0.84/1.07 (define @t169 () (tptp.meet @t123 @t101)) % 0.84/1.07 (define @t170 () (tptp.join @t152 @t169)) % 0.84/1.07 (define @t171 () (tptp.join @t28 @t153)) % 0.84/1.07 (define @t172 () (tptp.meet @t29 @t171)) % 0.84/1.07 (define @t173 () (tptp.join @t123 @t172)) % 0.84/1.07 (define @t174 () (tptp.join @t168 @t163)) % 0.84/1.07 (assume @p1 @t4) % 0.84/1.07 (assume @p2 @t6) % 0.84/1.07 (assume @p3 @t11) % 0.84/1.07 (assume @p4 @t14) % 0.84/1.07 (assume @p5 (forall @t10 (= @t12 (tptp.meet @t7 @t1)))) % 0.84/1.07 (assume @p6 (forall @t10 (= @t8 (tptp.join @t7 @t1)))) % 0.84/1.07 (assume @p7 (forall @t16 (= (tptp.meet @t12 @t15) (tptp.meet @t1 (tptp.meet @t7 @t15))))) % 0.84/1.07 (assume @p8 (forall @t16 (= (tptp.join @t8 @t15) (tptp.join @t1 (tptp.join @t7 @t15))))) % 0.84/1.07 (assume @p9 @t19) % 0.84/1.07 (assume @p10 @t21) % 0.84/1.07 (assume @p11 @t25) % 0.84/1.07 (assume @p12 (forall (@list @t1 @t7 @t15 @t26) (= (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t15 (tptp.join @t1 @t26)))) (tptp.meet @t1 (tptp.join @t7 (tptp.join (tptp.meet @t1 @t15) (tptp.meet @t15 (tptp.join @t7 @t26)))))))) % 0.84/1.07 (assume @p13 (= @t27 tptp.a)) % 0.84/1.07 (assume @p14 (not (= @t30 @t28))) % 0.84/1.07 (step @p15 :rule eq-symm :args (@t17 @t7)) % 0.84/1.07 (step @p16 :rule refl :args (@t22)) % 0.84/1.07 (step @p17 :rule refl :args (@t23)) % 0.84/1.07 (step @p18 :rule nary_cong :premises (@p17 @p16 @p15) :args (@t24)) % 0.84/1.07 (step @p19 :rule cong :premises (@p18) :args (@t25)) % 0.84/1.07 (step @p20 :rule eq_resolve :premises (@p11 @p19)) % 0.84/1.07 (step @p21 :rule eq-symm :args (@t33 @t28)) % 0.84/1.07 (step @p22 :rule eq-symm :args (@t34 tptp.one)) % 0.84/1.07 (step @p23 :rule cong :premises (@p22) :args (@t35)) % 0.84/1.07 (step @p24 :rule eq-symm :args (@t36 tptp.zero)) % 0.84/1.07 (step @p25 :rule cong :premises (@p24) :args (@t37)) % 0.84/1.07 (step @p26 :rule nary_cong :premises (@p25 @p23 @p21) :args (@t38)) % 0.84/1.07 (step @p27 :rule refl :args (@t39)) % 0.84/1.07 (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t39 @t38))) % 0.84/1.07 (assume-push @p589 @t39) % 0.84/1.07 (step @p30 :rule instantiate :premises (@p20) :args ((@list tptp.a @t33))) % 0.84/1.07 (step-pop @p590 :rule scope :premises (@p30)) % 0.84/1.07 (step @p31 :rule process_scope :premises (@p590) :args (@t38)) % 0.84/1.07 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 0.84/1.07 (step @p34 :rule implies_elim :premises (@p33)) % 0.84/1.07 (step @p35 :rule chain_m_resolution :premises (@p34 @p20) :args (@t45 @t46 @t47)) % 0.84/1.07 (step @p36 :rule symm :premises (@p14)) % 0.84/1.07 (step @p37 :rule false_intro :premises (@p36)) % 0.84/1.07 (step @p38 :rule eq-symm :args (@t13 @t1)) % 0.84/1.07 (step @p39 :rule cong :premises (@p38) :args (@t14)) % 0.84/1.07 (step @p40 :rule eq_resolve :premises (@p4 @p39)) % 0.84/1.07 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t30 @t29))) % 0.84/1.07 (step @p42 :rule symm :premises (@p41)) % 0.84/1.07 (step @p43 :rule instantiate :premises (@p5) :args (@t48)) % 0.84/1.07 (step @p44 :rule instantiate :premises (@p6) :args (@t49)) % 0.84/1.07 (step @p45 :rule symm :premises (@p44)) % 0.84/1.07 (step @p46 :rule cong :premises (@p45 @p43) :args (@t52)) % 0.84/1.07 (step @p47 :rule eq-symm :args (@t9 @t1)) % 0.84/1.07 (step @p48 :rule cong :premises (@p47) :args (@t11)) % 0.84/1.07 (step @p49 :rule eq_resolve :premises (@p3 @p48)) % 0.84/1.07 (step @p50 :rule instantiate :premises (@p49) :args (@t49)) % 0.84/1.07 (step @p51 :rule cong :premises (@p44 @p50) :args ((tptp.join @t30 @t29))) % 0.84/1.07 (step @p52 :rule instantiate :premises (@p6) :args (@t48)) % 0.84/1.07 (step @p53 :rule instantiate :premises (@p40) :args (@t49)) % 0.84/1.07 (step @p54 :rule symm :premises (@p53)) % 0.84/1.07 (step @p55 :rule eq-symm :args (@t5 @t1)) % 0.84/1.07 (step @p56 :rule cong :premises (@p55) :args (@t6)) % 0.84/1.07 (step @p57 :rule eq_resolve :premises (@p2 @p56)) % 0.84/1.07 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t28))) % 0.84/1.07 (step @p59 :rule symm :premises (@p58)) % 0.84/1.07 (step @p60 :rule instantiate :premises (@p49) :args (@t53)) % 0.84/1.07 (step @p61 :rule symm :premises (@p60)) % 0.84/1.07 (step @p62 :rule refl :args (@t28)) % 0.84/1.07 (step @p63 :rule cong :premises (@p62 @p44) :args (@t54)) % 0.84/1.07 (step @p64 :rule trans :premises (@p63 @p61)) % 0.84/1.07 (step @p65 :rule cong :premises (@p62 @p64) :args (@t55)) % 0.84/1.07 (step @p66 :rule trans :premises (@p65 @p59)) % 0.84/1.07 (step @p67 :rule refl :args (@t29)) % 0.84/1.07 (step @p68 :rule cong :premises (@p67 @p66) :args ((tptp.meet @t29 @t55))) % 0.84/1.07 (step @p69 :rule symm :premises (@p65)) % 0.84/1.07 (step @p70 :rule cong :premises (@p67 @p69) :args (@t57)) % 0.84/1.07 (step @p71 :rule trans :premises (@p70 @p68)) % 0.84/1.07 (step @p72 :rule cong 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:premises (@p522)) % 0.84/1.07 (step @p526 :rule cong :premises (@p525 @p524) :args (@t154)) % 0.84/1.07 (step @p527 :rule trans :premises (@p526 @p523 @p484 @p120 @p122 @p483 @p471 @p470)) % 0.84/1.07 (step @p528 :rule cong :premises (@p399 @p527) :args ((tptp.meet @t114 @t154))) % 0.84/1.07 (step @p529 :rule instantiate :premises (@p5) :args (@t81)) % 0.84/1.07 (step @p530 :rule symm :premises (@p529)) % 0.84/1.07 (step @p531 :rule trans :premises (@p530 @p459 @p458 @p456 @p435 @p433 @p422 @p528 @p415 @p302 @p328 @p324 @p373 @p413 @p412)) % 0.84/1.07 (step @p532 :rule cong :premises (@p370 @p531) :args (@t119)) % 0.84/1.07 (step @p533 :rule trans :premises (@p293 @p292 @p529)) % 0.84/1.07 (step @p534 :rule cong :premises (@p62 @p214) :args (@t167)) % 0.84/1.07 (step @p535 :rule instantiate :premises (@p57) :args ((@list @t167))) % 0.84/1.07 (step @p536 :rule symm :premises (@p535)) % 0.84/1.07 (step @p537 :rule refl :args (@t167)) % 0.84/1.07 (step @p538 :rule symm :premises (@p534)) % 0.84/1.07 (step @p539 :rule trans :premises (@p284 @p538)) % 0.84/1.07 (step @p540 :rule cong :premises (@p539 @p537) :args (@t168)) % 0.84/1.07 (step @p541 :rule trans :premises (@p540 @p536 @p534 @p285)) % 0.84/1.07 (step @p542 :rule trans :premises (@p541 @p284)) % 0.84/1.07 (step @p543 :rule cong :premises (@p542 @p533) :args ((tptp.join @t168 @t123))) % 0.84/1.07 (step @p544 :rule instantiate :premises (@p6) :args ((@list @t123 @t168))) % 0.84/1.07 (step @p545 :rule symm :premises (@p540)) % 0.84/1.07 (step @p546 :rule trans :premises (@p220 @p343)) % 0.84/1.07 (step @p547 :rule refl :args (@t123)) % 0.84/1.07 (step @p548 :rule cong :premises (@p547 @p546) :args (@t169)) % 0.84/1.07 (step @p549 :rule refl :args (@t152)) % 0.84/1.07 (step @p550 :rule cong :premises (@p549 @p548) :args (@t170)) % 0.84/1.07 (step @p551 :rule trans :premises (@p550 @p509 @p486 @p293 @p292 @p529)) % 0.84/1.07 (step @p552 :rule cong :premises (@p62 @p551) :args ((tptp.join @t28 @t170))) % 0.84/1.07 (step @p553 :rule symm :premises (@p550)) % 0.84/1.07 (step @p554 :rule cong :premises (@p62 @p553) :args (@t171)) % 0.84/1.07 (step @p555 :rule trans :premises (@p554 @p552 @p272)) % 0.84/1.07 (step @p556 :rule cong :premises (@p67 @p555) :args (@t172)) % 0.84/1.07 (step @p557 :rule trans :premises (@p556 @p284 @p538 @p535 @p545)) % 0.84/1.07 (step @p558 :rule cong :premises (@p547 @p557) :args (@t173)) % 0.84/1.07 (step @p559 :rule trans :premises (@p558 @p544 @p543 @p532 @p411 @p371 @p363 @p362 @p281)) % 0.84/1.07 (step @p560 :rule symm :premises (@p279)) % 0.84/1.07 (step @p561 :rule cong :premises (@p560 @p559) :args ((tptp.join @t28 @t173))) % 0.84/1.07 (step @p562 :rule symm :premises (@p558)) % 0.84/1.07 (step @p563 :rule symm :premises (@p544)) % 0.84/1.07 (step @p564 :rule symm :premises (@p543)) % 0.84/1.07 (step @p565 :rule trans :premises (@p493 @p292 @p529)) % 0.84/1.07 (step @p566 :rule cong :premises (@p542 @p565) :args (@t174)) % 0.84/1.07 (step @p567 :rule trans :premises (@p566 @p564 @p563 @p562)) % 0.84/1.07 (step @p568 :rule cong :premises (@p62 @p567) :args ((tptp.join @t28 @t174))) % 0.84/1.07 (step @p569 :rule symm :premises (@p566)) % 0.84/1.07 (step @p570 :rule cong :premises (@p62 @p569) :args (@t120)) % 0.84/1.07 (step @p571 :rule symm :premises (@p276)) % 0.84/1.07 (step @p572 :rule trans :premises (@p271 @p571 @p277 @p570 @p568 @p561 @p280 @p269)) % 0.84/1.07 (step @p573 :rule cong :premises (@p140 @p572) :args (@t127)) % 0.84/1.07 (step @p574 :rule trans :premises (@p292 @p573 @p264 @p262 @p257 @p210)) % 0.84/1.07 (step @p575 :rule trans :premises (@p45 @p41 @p231 @p229 @p228 @p227 @p213)) % 0.84/1.07 (step @p576 :rule cong :premises (@p140 @p575) :args ((tptp.join tptp.a @t51))) % 0.84/1.07 (step @p577 :rule cong :premises (@p309 @p44) :args ((tptp.join @t82 @t30))) % 0.84/1.07 (step @p578 :rule instantiate :premises (@p6) :args ((@list @t30 @t82))) % 0.84/1.07 (step @p579 :rule instantiate :premises (@p8) :args ((@list @t29 @t28 @t82))) % 0.84/1.07 (step @p580 :rule symm :premises (@p579)) % 0.84/1.07 (step @p581 :rule symm :premises (@p309)) % 0.84/1.07 (step @p582 :rule cong :premises (@p62 @p581) :args (@t88)) % 0.84/1.07 (step @p583 :rule trans :premises (@p166 @p161 @p134 @p136 @p582)) % 0.84/1.07 (step @p584 :rule cong :premises (@p67 @p583) :args (@t90)) % 0.84/1.07 (step @p585 :rule trans :premises (@p170 @p178 @p176 @p175 @p584 @p580 @p578 @p577 @p576)) % 0.84/1.07 (step @p586 :rule cnf_or_pos :args (@t45)) % 0.84/1.07 (step @p587 :rule reordering :premises (@p586) :args ((or @t44 @t42 @t40 (not @t45)))) % 0.84/1.07 (step @p588 false :rule chain_m_resolution :premises (@p587 @p585 @p574 @p201 @p35) :args (false (@list false false true false) (@list @t41 @t43 @t40 @t45))) % 0.84/1.07 ) % 0.84/1.07 % SZS output end Proof % 0.84/1.07 % cvc5 exiting %------------------------------------------------------------------------------