%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM459+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 : n026.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 08:39:29 AM UTC 2026 % Result : Theorem 0.74s 1.00s % Output : Proof 0.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM459+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.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 11:21:55 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.74/1.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.74/1.00 % SZS status Theorem % 0.74/1.00 % SZS output start Proof % 0.74/1.00 ( % 0.74/1.00 (declare-sort $$unsorted 0) % 0.74/1.00 (declare-const tptp.xn $$unsorted) % 0.74/1.00 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.74/1.00 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.74/1.00 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.74/1.00 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.74/1.00 (declare-const tptp.xm $$unsorted) % 0.74/1.00 (declare-const tptp.sz10 $$unsorted) % 0.74/1.00 (declare-const tptp.sz00 $$unsorted) % 0.74/1.00 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.74/1.00 (define @t1 () (@var "W0" $$unsorted)) % 0.74/1.00 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.74/1.00 (define @t3 () (@list @t1)) % 0.74/1.00 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 0.74/1.00 (define @t5 () (@var "W1" $$unsorted)) % 0.74/1.00 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.74/1.00 (define @t7 () (tptp.aNaturalNumber0 @t6)) % 0.74/1.00 (define @t8 () (tptp.aNaturalNumber0 @t5)) % 0.74/1.00 (define @t9 () (and @t2 @t8)) % 0.74/1.00 (define @t10 () (@list @t1 @t5)) % 0.74/1.00 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.74/1.00 (define @t12 () (tptp.sdtasdt0 @t1 @t5)) % 0.74/1.00 (define @t13 () (tptp.sdtpldt0 @t5 @t1)) % 0.74/1.00 (define @t14 () (@var "W2" $$unsorted)) % 0.74/1.00 (define @t15 () (tptp.sdtpldt0 @t5 @t14)) % 0.74/1.00 (define @t16 () (= (tptp.sdtpldt0 @t6 @t14) (tptp.sdtpldt0 @t1 @t15))) % 0.74/1.00 (define @t17 () (tptp.aNaturalNumber0 @t14)) % 0.74/1.00 (define @t18 () (and @t2 @t8 @t17)) % 0.74/1.00 (define @t19 () (@list @t1 @t5 @t14)) % 0.74/1.00 (define @t20 () (forall @t19 (=> @t18 @t16))) % 0.74/1.00 (define @t21 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 0.74/1.00 (define @t22 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 0.74/1.00 (define @t23 () (and (= @t22 @t1) @t21)) % 0.74/1.00 (define @t24 () (=> @t2 @t23)) % 0.74/1.00 (define @t25 () (forall @t3 @t24)) % 0.74/1.00 (define @t26 () (tptp.sdtasdt0 @t5 @t1)) % 0.74/1.00 (define @t27 () (tptp.sdtasdt0 @t14 @t1)) % 0.74/1.00 (define @t28 () (tptp.sdtasdt0 @t1 @t14)) % 0.74/1.00 (define @t29 () (= @t5 @t14)) % 0.74/1.00 (define @t30 () (= @t13 (tptp.sdtpldt0 @t14 @t1))) % 0.74/1.00 (define @t31 () (tptp.sdtpldt0 @t1 @t14)) % 0.74/1.00 (define @t32 () (= @t6 @t31)) % 0.74/1.00 (define @t33 () (or @t32 @t30)) % 0.74/1.00 (define @t34 () (=> @t33 @t29)) % 0.74/1.00 (define @t35 () (forall @t19 (=> @t18 @t34))) % 0.74/1.00 (define @t36 () (and @t8 @t17)) % 0.74/1.00 (define @t37 () (= @t1 tptp.sz00)) % 0.74/1.00 (define @t38 () (= @t5 tptp.sz00)) % 0.74/1.00 (define @t39 () (and @t37 @t38)) % 0.74/1.00 (define @t40 () (=> (= @t6 tptp.sz00) @t39)) % 0.74/1.00 (define @t41 () (=> @t9 @t40)) % 0.74/1.00 (define @t42 () (forall @t10 @t41)) % 0.74/1.00 (define @t43 () (and @t17 (= @t31 @t5))) % 0.74/1.00 (define @t44 () (@list @t14)) % 0.74/1.00 (define @t45 () (exists @t44 @t43)) % 0.74/1.00 (define @t46 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.74/1.00 (define @t47 () (= @t46 @t45)) % 0.74/1.00 (define @t48 () (=> @t9 @t47)) % 0.74/1.00 (define @t49 () (forall @t10 @t48)) % 0.74/1.00 (define @t50 () (tptp.aNaturalNumber0 tptp.xn)) % 0.74/1.00 (define @t51 () (tptp.aNaturalNumber0 tptp.xm)) % 0.74/1.00 (define @t52 () (= tptp.xm tptp.xn)) % 0.74/1.00 (define @t53 () (tptp.sdtlseqdt0 tptp.xn tptp.xm)) % 0.74/1.00 (define @t54 () (tptp.sdtlseqdt0 tptp.xm tptp.xn)) % 0.74/1.00 (define @t55 () (and (= @t1 @t22) @t21)) % 0.74/1.00 (define @t56 () (tptp.sdtpldt0 tptp.sz00 tptp.xn)) % 0.74/1.00 (define @t57 () (tptp.sdtpldt0 tptp.xn tptp.sz00)) % 0.74/1.00 (define @t58 () (= tptp.xn @t57)) % 0.74/1.00 (define @t59 () (and @t58 (= tptp.xn @t56))) % 0.74/1.00 (define @t60 () (not @t50)) % 0.74/1.00 (define @t61 () (or @t60 @t59)) % 0.74/1.00 (define @t62 () (@list false false)) % 0.74/1.00 (define @t63 () (@list false)) % 0.74/1.00 (define @t64 () (= @t5 @t31)) % 0.74/1.00 (define @t65 () (not @t17)) % 0.74/1.00 (define @t66 () (= @t46 (not (forall @t44 (or @t65 (not @t64)))))) % 0.74/1.00 (define @t67 () (not @t8)) % 0.74/1.00 (define @t68 () (not @t2)) % 0.74/1.00 (define @t69 () (or @t68 @t67)) % 0.74/1.00 (define @t70 () (not @t9)) % 0.74/1.00 (define @t71 () (and @t17 @t64)) % 0.74/1.00 (define @t72 () (forall @t44 (not @t71))) % 0.74/1.00 (define @t73 () (not @t72)) % 0.74/1.00 (define @t74 () (forall @t44 (or @t65 (not (= tptp.xn (tptp.sdtpldt0 tptp.xm @t14)))))) % 0.74/1.00 (define @t75 () (not @t74)) % 0.74/1.00 (define @t76 () (= @t54 @t75)) % 0.74/1.00 (define @t77 () (not @t51)) % 0.74/1.00 (define @t78 () (or @t77 @t60 @t76)) % 0.74/1.00 (define @t79 () (@list false false false)) % 0.74/1.00 (define @t80 () (@quantifiers_skolemize @t74 0)) % 0.74/1.00 (define @t81 () (tptp.sdtpldt0 tptp.xm @t80)) % 0.74/1.00 (define @t82 () (= tptp.xn @t81)) % 0.74/1.00 (define @t83 () (not @t82)) % 0.74/1.00 (define @t84 () (tptp.aNaturalNumber0 @t80)) % 0.74/1.00 (define @t85 () (not @t84)) % 0.74/1.00 (define @t86 () (or @t85 @t83)) % 0.74/1.00 (define @t87 () (@list true)) % 0.74/1.00 (define @t88 () (@list @t86)) % 0.74/1.00 (define @t89 () (forall @t44 (or @t65 (not (= tptp.xm (tptp.sdtpldt0 tptp.xn @t14)))))) % 0.74/1.00 (define @t90 () (not @t89)) % 0.74/1.00 (define @t91 () (= @t53 @t90)) % 0.74/1.00 (define @t92 () (or @t60 @t77 @t91)) % 0.74/1.00 (define @t93 () (@quantifiers_skolemize @t89 0)) % 0.74/1.00 (define @t94 () (tptp.sdtpldt0 tptp.xn @t93)) % 0.74/1.00 (define @t95 () (= tptp.xm @t94)) % 0.74/1.00 (define @t96 () (not @t95)) % 0.74/1.00 (define @t97 () (tptp.aNaturalNumber0 @t93)) % 0.74/1.00 (define @t98 () (not @t97)) % 0.74/1.00 (define @t99 () (or @t98 @t96)) % 0.74/1.00 (define @t100 () (@list @t99)) % 0.74/1.00 (define @t101 () (or @t68 @t67 @t65)) % 0.74/1.00 (define @t102 () (not @t18)) % 0.74/1.00 (define @t103 () (tptp.sdtpldt0 @t93 @t80)) % 0.74/1.00 (define @t104 () (tptp.sdtpldt0 tptp.xn @t103)) % 0.74/1.00 (define @t105 () (= (tptp.sdtpldt0 @t94 @t80) @t104)) % 0.74/1.00 (define @t106 () (or @t60 @t98 @t85 @t105)) % 0.74/1.00 (define @t107 () (@list false false false false)) % 0.74/1.00 (define @t108 () (@list @t50 @t84 @t97 @t106)) % 0.74/1.00 (define @t109 () (and (not @t32) (not @t30))) % 0.74/1.00 (define @t110 () (or @t68 @t67 @t65 @t109 @t29)) % 0.74/1.00 (define @t111 () (tptp.sdtpldt0 @t103 tptp.xn)) % 0.74/1.00 (define @t112 () (not (= @t111 @t56))) % 0.74/1.00 (define @t113 () (not (= @t104 @t57))) % 0.74/1.00 (define @t114 () (and @t113 @t112)) % 0.74/1.00 (define @t115 () (not @t4)) % 0.74/1.00 (define @t116 () (tptp.aNaturalNumber0 @t103)) % 0.74/1.00 (define @t117 () (not @t116)) % 0.74/1.00 (define @t118 () (or @t60 @t117 @t115 @t114 (= @t103 tptp.sz00))) % 0.74/1.00 (define @t119 () (forall @t19 @t110)) % 0.74/1.00 (define @t120 () (= tptp.sz00 @t103)) % 0.74/1.00 (define @t121 () (= @t57 @t104)) % 0.74/1.00 (define @t122 () (not @t121)) % 0.74/1.00 (define @t123 () (and @t122 (not (= @t56 @t111)))) % 0.74/1.00 (define @t124 () (or @t60 @t117 @t115 @t123 @t120)) % 0.74/1.00 (define @t125 () (and @t37 (= tptp.sz00 @t5))) % 0.74/1.00 (define @t126 () (= tptp.sz00 @t6)) % 0.74/1.00 (define @t127 () (not @t126)) % 0.74/1.00 (define @t128 () (or @t68 @t67 @t127 @t125)) % 0.74/1.00 (define @t129 () (=> @t126 @t125)) % 0.74/1.00 (define @t130 () (= tptp.sz00 @t80)) % 0.74/1.00 (define @t131 () (and (= @t93 tptp.sz00) @t130)) % 0.74/1.00 (define @t132 () (not @t120)) % 0.74/1.00 (define @t133 () (or @t98 @t85 @t132 @t131)) % 0.74/1.00 (define @t134 () (forall @t10 @t128)) % 0.74/1.00 (define @t135 () (@list @t93 @t80)) % 0.74/1.00 (define @t136 () (= tptp.sz00 @t93)) % 0.74/1.00 (define @t137 () (and @t136 @t130)) % 0.74/1.00 (define @t138 () (or @t98 @t85 @t132 @t137)) % 0.74/1.00 (define @t139 () (and @t58 @t82 @t95 @t136)) % 0.74/1.00 (define @t140 () (not @t136)) % 0.74/1.00 (define @t141 () (not @t58)) % 0.74/1.00 (define @t142 () (not @t137)) % 0.74/1.00 (define @t143 () (or @t98 @t85 @t116)) % 0.74/1.00 (define @t144 () (not @t105)) % 0.74/1.00 (define @t145 () (= tptp.xn @t104)) % 0.74/1.00 (define @t146 () (and @t122 @t58 @t145)) % 0.74/1.00 (assume @p1 (forall @t3 (=> @t2 true))) % 0.74/1.00 (assume @p2 @t4) % 0.74/1.00 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.74/1.00 (assume @p4 @t11) % 0.74/1.00 (assume @p5 (forall @t10 (=> @t9 (tptp.aNaturalNumber0 @t12)))) % 0.74/1.00 (assume @p6 (forall @t10 (=> @t9 (= @t6 @t13)))) % 0.74/1.00 (assume @p7 @t20) % 0.74/1.00 (assume @p8 @t25) % 0.74/1.00 (assume @p9 (forall @t10 (=> @t9 (= @t12 @t26)))) % 0.74/1.00 (assume @p10 (forall @t19 (=> @t18 (= (tptp.sdtasdt0 @t12 @t14) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t14)))))) % 0.74/1.00 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.74/1.00 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.74/1.00 (assume @p13 (forall @t19 (=> @t18 (and (= (tptp.sdtasdt0 @t1 @t15) (tptp.sdtpldt0 @t12 @t28)) (= (tptp.sdtasdt0 @t15 @t1) (tptp.sdtpldt0 @t26 @t27)))))) % 0.74/1.00 (assume @p14 @t35) % 0.74/1.00 (assume @p15 (forall @t3 (=> @t2 (=> (not @t37) (forall (@list @t5 @t14) (=> @t36 (=> (or (= @t12 @t28) (= @t26 @t27)) @t29))))))) % 0.74/1.00 (assume @p16 @t42) % 0.74/1.00 (assume @p17 (forall @t10 (=> @t9 (=> (= @t12 tptp.sz00) (or @t37 @t38))))) % 0.74/1.00 (assume @p18 @t49) % 0.74/1.00 (assume @p19 (forall @t10 (=> @t9 (=> @t46 (forall @t44 (= (= @t14 (tptp.sdtmndt0 @t5 @t1)) @t43)))))) % 0.74/1.00 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.74/1.00 (assume @p21 (and @t51 @t50)) % 0.74/1.00 (assume @p22 (not (=> (and @t54 @t53) @t52))) % 0.74/1.00 (assume @p23 true) % 0.74/1.00 (step @p24 :rule bool-impl-elim :args (@t2 @t55)) % 0.74/1.00 (step @p25 :rule cong :premises (@p24) :args ((forall @t3 (=> @t2 @t55)))) % 0.74/1.00 (step @p26 :rule refl :args (@t21)) % 0.74/1.00 (step @p27 :rule eq-symm :args (@t22 @t1)) % 0.74/1.00 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t23)) % 0.74/1.00 (step @p29 :rule refl :args (@t2)) % 0.74/1.00 (step @p30 :rule cong :premises (@p29 @p28) :args (@t24)) % 0.74/1.00 (step @p31 :rule cong :premises (@p30) :args (@t25)) % 0.74/1.00 (step @p32 :rule trans :premises (@p31 @p25)) % 0.74/1.00 (step @p33 :rule eq_resolve :premises (@p8 @p32)) % 0.74/1.00 (step @p34 :rule instantiate :premises (@p33) :args ((@list tptp.xn))) % 0.74/1.00 (step @p35 :rule and_elim :premises (@p21) :args (1)) % 0.74/1.00 (step @p36 :rule cnf_or_pos :args (@t61)) % 0.74/1.00 (step @p37 :rule reordering :premises (@p36) :args ((or @t60 @t59 (not @t61)))) % 0.74/1.00 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p34) :args (@t59 @t62 (@list @t50 @t61))) % 0.74/1.00 (step @p39 :rule cnf_and_pos :args (@t59 0)) % 0.74/1.00 (step @p40 :rule reordering :premises (@p39) :args ((or @t58 (not @t59)))) % 0.74/1.00 (step @p41 :rule chain_m_resolution :premises (@p40 @p38) :args (@t58 @t63 (@list @t59))) % 0.74/1.00 (step @p42 :rule aci_norm :args ((= (or @t69 @t66) (or @t68 @t67 @t66)))) % 0.74/1.00 (step @p43 :rule refl :args (@t66)) % 0.74/1.00 (step @p44 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 0.74/1.00 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t70 @t66))) % 0.74/1.00 (step @p46 :rule trans :premises (@p45 @p42)) % 0.74/1.00 (step @p47 :rule bool-impl-elim :args (@t9 @t66)) % 0.74/1.00 (step @p48 :rule trans :premises (@p47 @p46)) % 0.74/1.00 (step @p49 :rule cong :premises (@p48) :args ((forall @t10 (=> @t9 @t66)))) % 0.74/1.00 (step @p50 :rule bool-and-de-morgan :args (@t17 @t64 true)) % 0.74/1.00 (step @p51 :rule cong :premises (@p50) :args (@t72)) % 0.74/1.00 (step @p52 :rule cong :premises (@p51) :args (@t73)) % 0.74/1.00 (step @p53 :rule exists-elim :args ((= (exists @t44 @t71) @t73))) % 0.74/1.00 (step @p54 :rule trans :premises (@p53 @p52)) % 0.74/1.00 (step @p55 :rule eq-symm :args (@t31 @t5)) % 0.74/1.00 (step @p56 :rule refl :args (@t17)) % 0.74/1.00 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t43)) % 0.74/1.00 (step @p58 :rule cong :premises (@p57) :args (@t45)) % 0.74/1.00 (step @p59 :rule trans :premises (@p58 @p54)) % 0.74/1.00 (step @p60 :rule refl :args (@t46)) % 0.74/1.00 (step @p61 :rule cong :premises (@p60 @p59) :args (@t47)) % 0.74/1.00 (step @p62 :rule refl :args (@t9)) % 0.74/1.00 (step @p63 :rule cong :premises (@p62 @p61) :args (@t48)) % 0.74/1.00 (step @p64 :rule cong :premises (@p63) :args (@t49)) % 0.74/1.00 (step @p65 :rule trans :premises (@p64 @p49)) % 0.74/1.00 (step @p66 :rule eq_resolve :premises (@p18 @p65)) % 0.74/1.00 (step @p67 :rule instantiate :premises (@p66) :args ((@list tptp.xm tptp.xn))) % 0.74/1.00 (step @p68 :rule and_elim :premises (@p21) :args (0)) % 0.74/1.00 (step @p69 :rule cnf_or_pos :args (@t78)) % 0.74/1.00 (step @p70 :rule reordering :premises (@p69) :args ((or @t77 @t60 @t76 (not @t78)))) % 0.74/1.00 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p35 @p67) :args (@t76 @t79 (@list @t51 @t50 @t78))) % 0.74/1.00 (step @p72 :rule not_implies_elim1 :premises (@p22)) % 0.74/1.00 (step @p73 :rule and_elim :premises (@p72) :args (0)) % 0.74/1.00 (step @p74 :rule cnf_equiv_pos1 :args (@t76)) % 0.74/1.00 (step @p75 :rule reordering :premises (@p74) :args ((or (not @t54) @t75 (not @t76)))) % 0.74/1.00 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p71) :args (@t75 @t62 (@list @t54 @t76))) % 0.74/1.00 (step @p77 :rule skolemize :premises (@p76)) % 0.74/1.00 (step @p78 :rule bool-double-not-elim :args (@t82)) % 0.74/1.00 (step @p79 :rule refl :args (@t86)) % 0.74/1.00 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t86 (not @t83)))) % 0.74/1.00 (step @p81 :rule cnf_or_neg :args (@t86 1)) % 0.74/1.00 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.74/1.00 (step @p83 :rule reordering :premises (@p82) :args ((or @t82 @t86))) % 0.74/1.00 (step @p84 :rule chain_m_resolution :premises (@p83 @p77) :args (@t82 @t87 @t88)) % 0.74/1.00 (step @p85 :rule instantiate :premises (@p66) :args ((@list tptp.xn tptp.xm))) % 0.74/1.00 (step @p86 :rule cnf_or_pos :args 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:rule refl :args (@t144)) % 0.74/1.01 (step @p254 :rule refl :args (@t96)) % 0.74/1.01 (step @p255 :rule refl :args (@t83)) % 0.74/1.01 (step @p256 :rule refl :args (@t141)) % 0.74/1.01 (step @p257 :rule nary_cong :premises (@p256 @p255 @p254 @p253 @p252) :args ((or @t141 @t83 @t96 @t144 (not @t122)))) % 0.74/1.01 (assume-push @p315 @t122) % 0.74/1.01 (assume-push @p316 @t58) % 0.74/1.01 (assume-push @p317 @t145) % 0.74/1.01 (step @p261 :rule evaluate :args ((= true false))) % 0.74/1.01 (step @p262 :rule false_intro :premises (@p315)) % 0.74/1.01 (step @p263 :rule chain_m_resolution :premises (@p130 @p35 @p128 @p122 @p116) :args (@t105 @t107 @t108)) % 0.74/1.01 (step @p264 :rule refl :args (@t80)) % 0.74/1.01 (step @p265 :rule cong :premises (@p100 @p264) :args (@t81)) % 0.74/1.01 (step @p266 :rule chain_m_resolution :premises (@p83 @p77) :args (@t82 @t87 @t88)) % 0.74/1.01 (step @p267 :rule trans :premises (@p266 @p265 @p263)) % 0.74/1.01 (step @p204 :rule symm :premises (@p41)) % 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