%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT218-1 : 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 : n014.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 08:29:55 AM UTC 2026 % Result : Unsatisfiable 41.52s 41.76s % Output : Proof 41.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT218-1 : TPTP v9.2.1. Released v3.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.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 06:02:28 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.55/15.70 --- Run --no-e-matching --full-saturate-quant at 6... % 21.53/21.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.52/27.78 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.62/33.81 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 41.52/41.76 % SZS status Unsatisfiable % 41.52/41.76 % SZS output start Proof % 41.52/41.77 ( % 41.52/41.77 (declare-sort $$unsorted 0) % 41.52/41.77 (declare-const tptp.b $$unsorted) % 41.52/41.77 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 41.52/41.77 (declare-const tptp.one $$unsorted) % 41.52/41.77 (declare-const tptp.zero $$unsorted) % 41.52/41.77 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.77 (declare-const tptp.a $$unsorted) % 41.52/41.77 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 41.52/41.77 (define @t1 () (@var "X" $$unsorted)) % 41.52/41.77 (define @t2 () (tptp.meet @t1 @t1)) % 41.52/41.77 (define @t3 () (@list @t1)) % 41.52/41.77 (define @t4 () (forall @t3 (= @t2 @t1))) % 41.52/41.77 (define @t5 () (@var "Y" $$unsorted)) % 41.52/41.77 (define @t6 () (tptp.join @t1 @t5)) % 41.52/41.77 (define @t7 () (tptp.meet @t1 @t6)) % 41.52/41.77 (define @t8 () (@list @t1 @t5)) % 41.52/41.77 (define @t9 () (forall @t8 (= @t7 @t1))) % 41.52/41.77 (define @t10 () (tptp.meet @t1 @t5)) % 41.52/41.77 (define @t11 () (tptp.join @t1 @t10)) % 41.52/41.77 (define @t12 () (forall @t8 (= @t11 @t1))) % 41.52/41.77 (define @t13 () (@var "Z" $$unsorted)) % 41.52/41.77 (define @t14 () (@list @t1 @t5 @t13)) % 41.52/41.77 (define @t15 () (tptp.complement @t1)) % 41.52/41.77 (define @t16 () (tptp.join @t1 @t15)) % 41.52/41.77 (define @t17 () (forall @t3 (= @t16 tptp.one))) % 41.52/41.77 (define @t18 () (tptp.meet @t1 @t15)) % 41.52/41.77 (define @t19 () (forall @t3 (= @t18 tptp.zero))) % 41.52/41.77 (define @t20 () (not (= @t6 tptp.one))) % 41.52/41.77 (define @t21 () (not (= @t10 tptp.zero))) % 41.52/41.77 (define @t22 () (or @t21 @t20 (= @t15 @t5))) % 41.52/41.77 (define @t23 () (forall @t8 @t22)) % 41.52/41.77 (define @t24 () (@var "U" $$unsorted)) % 41.52/41.77 (define @t25 () (tptp.meet tptp.b tptp.a)) % 41.52/41.77 (define @t26 () (tptp.complement tptp.a)) % 41.52/41.77 (define @t27 () (tptp.complement tptp.b)) % 41.52/41.77 (define @t28 () (tptp.join @t27 @t26)) % 41.52/41.77 (define @t29 () (@list @t27 @t26)) % 41.52/41.77 (define @t30 () (@list tptp.b)) % 41.52/41.77 (define @t31 () (@list tptp.a)) % 41.52/41.77 (define @t32 () (@list @t26 @t27)) % 41.52/41.77 (define @t33 () (@list tptp.a @t26)) % 41.52/41.77 (define @t34 () (tptp.meet @t27 @t28)) % 41.52/41.77 (define @t35 () (@list @t26 tptp.a)) % 41.52/41.77 (define @t36 () (@list @t25 @t27)) % 41.52/41.77 (define @t37 () (tptp.meet @t27 @t26)) % 41.52/41.77 (define @t38 () (tptp.join @t27 @t37)) % 41.52/41.77 (define @t39 () (tptp.meet @t27 @t38)) % 41.52/41.77 (define @t40 () (tptp.join @t27 @t39)) % 41.52/41.77 (define @t41 () (tptp.meet @t27 @t40)) % 41.52/41.77 (define @t42 () (tptp.join @t25 @t41)) % 41.52/41.77 (define @t43 () (tptp.meet @t26 tptp.b)) % 41.52/41.77 (define @t44 () (tptp.join @t27 @t43)) % 41.52/41.77 (define @t45 () (tptp.meet tptp.b @t26)) % 41.52/41.77 (define @t46 () (tptp.meet @t45 @t28)) % 41.52/41.77 (define @t47 () (tptp.meet @t26 @t44)) % 41.52/41.77 (define @t48 () (tptp.join @t47 @t46)) % 41.52/41.77 (define @t49 () (tptp.join @t25 @t27)) % 41.52/41.77 (define @t50 () (tptp.meet @t37 @t49)) % 41.52/41.77 (define @t51 () (tptp.join tptp.b @t50)) % 41.52/41.77 (define @t52 () (not (= @t51 tptp.one))) % 41.52/41.77 (define @t53 () (tptp.meet tptp.b @t50)) % 41.52/41.77 (define @t54 () (not (= @t53 tptp.zero))) % 41.52/41.77 (define @t55 () (or @t54 @t52 (= @t50 @t27))) % 41.52/41.77 (define @t56 () (forall @t8 (or @t21 @t20 (= @t5 @t15)))) % 41.52/41.77 (define @t57 () (@list tptp.b @t50)) % 41.52/41.77 (define @t58 () (= @t27 @t50)) % 41.52/41.77 (define @t59 () (= tptp.one @t51)) % 41.52/41.77 (define @t60 () (not @t59)) % 41.52/41.77 (define @t61 () (= tptp.zero @t53)) % 41.52/41.77 (define @t62 () (not @t61)) % 41.52/41.77 (define @t63 () (or @t62 @t60 @t58)) % 41.52/41.77 (define @t64 () (tptp.meet @t26 @t27)) % 41.52/41.77 (define @t65 () (tptp.meet @t64 @t42)) % 41.52/41.77 (define @t66 () (tptp.join @t27 @t25)) % 41.52/41.77 (define @t67 () (tptp.meet @t27 @t66)) % 41.52/41.77 (define @t68 () (tptp.join tptp.b @t37)) % 41.52/41.77 (define @t69 () (tptp.join tptp.b @t27)) % 41.52/41.77 (define @t70 () (tptp.meet @t69 tptp.b)) % 41.52/41.77 (define @t71 () (@list @t68 (tptp.join @t26 (tptp.meet @t37 (tptp.join @t68 (tptp.meet @t37 @t70)))))) % 41.52/41.77 (define @t72 () (@list tptp.b tptp.a)) % 41.52/41.77 (define @t73 () (tptp.join tptp.b @t25)) % 41.52/41.77 (define @t74 () (tptp.join @t26 @t34)) % 41.52/41.77 (define @t75 () (tptp.meet @t27 @t74)) % 41.52/41.77 (define @t76 () (tptp.join tptp.b @t75)) % 41.52/41.77 (define @t77 () (tptp.meet @t26 @t76)) % 41.52/41.77 (define @t78 () (tptp.meet @t37 (tptp.join tptp.b @t49))) % 41.52/41.77 (define @t79 () (tptp.join tptp.a @t78)) % 41.52/41.77 (define @t80 () (tptp.join @t64 tptp.a)) % 41.52/41.77 (define @t81 () (tptp.join tptp.b @t80)) % 41.52/41.77 (define @t82 () (@list tptp.b @t27)) % 41.52/41.77 (define @t83 () (tptp.meet tptp.b @t27)) % 41.52/41.77 (define @t84 () (tptp.meet @t83 @t27)) % 41.52/41.77 (define @t85 () (tptp.join @t26 @t84)) % 41.52/41.77 (define @t86 () (tptp.meet tptp.b @t85)) % 41.52/41.77 (define @t87 () (tptp.meet @t83 @t26)) % 41.52/41.77 (define @t88 () (tptp.meet tptp.a @t26)) % 41.52/41.77 (define @t89 () (tptp.meet @t26 tptp.a)) % 41.52/41.77 (define @t90 () (tptp.join @t26 @t89)) % 41.52/41.77 (define @t91 () (tptp.meet @t26 @t90)) % 41.52/41.77 (define @t92 () (tptp.meet (tptp.meet tptp.a tptp.b) @t26)) % 41.52/41.77 (define @t93 () (tptp.meet @t27 tptp.b)) % 41.52/41.77 (define @t94 () (@list tptp.a @t88)) % 41.52/41.77 (define @t95 () (tptp.meet tptp.a @t25)) % 41.52/41.77 (define @t96 () (tptp.meet @t25 @t45)) % 41.52/41.77 (define @t97 () (tptp.meet @t25 @t34)) % 41.52/41.77 (define @t98 () (tptp.join tptp.b @t64)) % 41.52/41.77 (define @t99 () (tptp.meet @t83 @t85)) % 41.52/41.77 (define @t100 () (tptp.join @t26 @t99)) % 41.52/41.77 (define @t101 () (tptp.meet @t83 @t100)) % 41.52/41.77 (define @t102 () (tptp.join @t88 @t101)) % 41.52/41.77 (define @t103 () (tptp.meet @t26 @t93)) % 41.52/41.77 (define @t104 () (tptp.meet @t64 @t93)) % 41.52/41.77 (define @t105 () (tptp.meet @t37 @t79)) % 41.52/41.77 (define @t106 () (tptp.meet @t27 (tptp.join @t26 @t28))) % 41.52/41.77 (define @t107 () (tptp.join tptp.b @t106)) % 41.52/41.77 (define @t108 () (tptp.meet tptp.b @t107)) % 41.52/41.77 (define @t109 () (tptp.join @t37 @t108)) % 41.52/41.77 (define @t110 () (tptp.join @t26 @t64)) % 41.52/41.77 (define @t111 () (tptp.join @t27 (tptp.meet @t25 @t49))) % 41.52/41.77 (define @t112 () (tptp.meet @t25 @t111)) % 41.52/41.77 (define @t113 () (tptp.join @t88 @t112)) % 41.52/41.77 (define @t114 () (tptp.meet @t27 tptp.a)) % 41.52/41.77 (define @t115 () (tptp.join @t26 @t114)) % 41.52/41.77 (define @t116 () (tptp.meet @t27 @t115)) % 41.52/41.77 (define @t117 () (tptp.join tptp.b @t116)) % 41.52/41.77 (define @t118 () (tptp.join tptp.a @t70)) % 41.52/41.77 (define @t119 () (tptp.join tptp.a @t26)) % 41.52/41.77 (define @t120 () (tptp.meet @t27 @t85)) % 41.52/41.77 (define @t121 () (= @t27 @t34)) % 41.52/41.77 (define @t122 () (tptp.join @t26 @t27)) % 41.52/41.77 (define @t123 () (= @t28 @t122)) % 41.52/41.77 (define @t124 () (= tptp.one @t69)) % 41.52/41.77 (define @t125 () (= tptp.one @t119)) % 41.52/41.77 (define @t126 () (= @t26 (tptp.meet @t26 @t122))) % 41.52/41.77 (define @t127 () (= @t27 @t38)) % 41.52/41.77 (define @t128 () (tptp.join @t27 @t34)) % 41.52/41.77 (define @t129 () (= @t27 @t128)) % 41.52/41.77 (define @t130 () (= @t37 @t64)) % 41.52/41.77 (define @t131 () (tptp.join @t26 tptp.a)) % 41.52/41.77 (define @t132 () (= @t119 @t131)) % 41.52/41.77 (define @t133 () (tptp.meet @t26 @t107)) % 41.52/41.77 (define @t134 () (= @t133 @t77)) % 41.52/41.77 (define @t135 () (= @t27 (tptp.meet @t27 @t128))) % 41.52/41.77 (define @t136 () (= @t26 (tptp.meet @t26 @t131))) % 41.52/41.77 (define @t137 () (= @t45 @t43)) % 41.52/41.77 (define @t138 () (= @t26 @t110)) % 41.52/41.77 (define @t139 () (= @t49 @t66)) % 41.52/41.77 (define @t140 () (tptp.meet @t26 @t28)) % 41.52/41.77 (define @t141 () (tptp.meet tptp.b @t140)) % 41.52/41.77 (define @t142 () (= @t46 @t141)) % 41.52/41.77 (define @t143 () (= @t27 @t67)) % 41.52/41.77 (define @t144 () (= @t65 (tptp.meet @t26 (tptp.meet @t27 @t42)))) % 41.52/41.77 (define @t145 () (= @t26 (tptp.join @t26 @t43))) % 41.52/41.77 (define @t146 () (tptp.join @t26 @t47)) % 41.52/41.77 (define @t147 () (= @t26 @t146)) % 41.52/41.77 (define @t148 () (tptp.join @t26 @t48)) % 41.52/41.77 (define @t149 () (tptp.join @t146 @t46)) % 41.52/41.77 (define @t150 () (= @t149 @t148)) % 41.52/41.77 (define @t151 () (= @t148 (tptp.join @t48 @t26))) % 41.52/41.77 (define @t152 () (tptp.join @t46 @t47)) % 41.52/41.77 (define @t153 () (= @t48 @t152)) % 41.52/41.77 (define @t154 () (tptp.join @t26 @t75)) % 41.52/41.77 (define @t155 () (tptp.join @t152 @t133)) % 41.52/41.77 (define @t156 () (= @t26 @t28)) % 41.52/41.77 (define @t157 () (and @t121 @t123 @t124 @t125 @t126 @t127 @t129 @t130 @t132 @t134 @t135 @t136 @t137 @t138 @t139 @t142 @t143 @t144 @t145 @t147 @t58 @t150 @t151 @t153)) % 41.52/41.77 (assume @p1 @t4) % 41.52/41.77 (assume @p2 (forall @t3 (= (tptp.join @t1 @t1) @t1))) % 41.52/41.77 (assume @p3 @t9) % 41.52/41.77 (assume @p4 @t12) % 41.52/41.77 (assume @p5 (forall @t8 (= @t10 (tptp.meet @t5 @t1)))) % 41.52/41.77 (assume @p6 (forall @t8 (= @t6 (tptp.join @t5 @t1)))) % 41.52/41.77 (assume @p7 (forall @t14 (= (tptp.meet @t10 @t13) (tptp.meet @t1 (tptp.meet @t5 @t13))))) % 41.52/41.77 (assume @p8 (forall @t14 (= (tptp.join @t6 @t13) (tptp.join @t1 (tptp.join @t5 @t13))))) % 41.52/41.77 (assume @p9 @t17) % 41.52/41.77 (assume @p10 @t19) % 41.52/41.77 (assume @p11 @t23) % 41.52/41.77 (assume @p12 (forall (@list @t1 @t5 @t13 @t24) (= (tptp.meet @t1 (tptp.join @t5 (tptp.meet @t13 (tptp.join @t1 @t24)))) (tptp.meet @t1 (tptp.join @t5 (tptp.meet @t13 (tptp.join @t1 (tptp.meet @t13 @t24)))))))) % 41.52/41.77 (assume @p13 (= @t25 tptp.a)) % 41.52/41.77 (assume @p14 (not (= @t28 @t26))) % 41.52/41.77 (step @p15 :rule symm :premises (@p14)) % 41.52/41.77 (step @p16 :rule eq-symm :args (@t7 @t1)) % 41.52/41.77 (step @p17 :rule cong :premises (@p16) :args (@t9)) % 41.52/41.77 (step @p18 :rule eq_resolve :premises (@p3 @p17)) % 41.52/41.77 (step @p19 :rule instantiate :premises (@p18) :args (@t29)) % 41.52/41.77 (step @p20 :rule instantiate :premises (@p6) :args (@t29)) % 41.52/41.77 (step @p21 :rule eq-symm :args (@t16 tptp.one)) % 41.52/41.77 (step @p22 :rule cong :premises (@p21) :args (@t17)) % 41.52/41.77 (step @p23 :rule eq_resolve :premises (@p9 @p22)) % 41.52/41.77 (step @p24 :rule instantiate :premises (@p23) :args (@t30)) % 41.52/41.77 (step @p25 :rule instantiate :premises (@p23) :args (@t31)) % 41.52/41.77 (step @p26 :rule instantiate :premises (@p18) :args (@t32)) % 41.52/41.77 (step @p27 :rule eq-symm :args (@t11 @t1)) % 41.52/41.77 (step @p28 :rule cong :premises (@p27) :args (@t12)) % 41.52/41.77 (step @p29 :rule eq_resolve :premises (@p4 @p28)) % 41.52/41.77 (step @p30 :rule instantiate :premises (@p29) :args (@t29)) % 41.52/41.77 (step @p31 :rule instantiate :premises (@p29) :args ((@list @t27 @t28))) % 41.52/41.77 (step @p32 :rule instantiate :premises (@p5) :args (@t29)) % 41.52/41.77 (step @p33 :rule instantiate :premises (@p6) :args (@t33)) % 41.52/41.77 (step @p34 :rule instantiate :premises (@p12) :args ((@list @t26 tptp.b @t27 @t28))) % 41.52/41.77 (step @p35 :rule instantiate :premises (@p18) :args ((@list @t27 @t34))) % 41.52/41.77 (step @p36 :rule instantiate :premises (@p18) :args (@t35)) % 41.52/41.77 (step @p37 :rule instantiate :premises (@p5) :args ((@list tptp.b @t26))) % 41.52/41.77 (step @p38 :rule instantiate :premises (@p29) :args (@t32)) % 41.52/41.77 (step @p39 :rule instantiate :premises (@p6) :args (@t36)) % 41.52/41.77 (step @p40 :rule instantiate :premises (@p7) :args ((@list tptp.b @t26 @t28))) % 41.52/41.77 (step @p41 :rule instantiate :premises (@p18) :args ((@list @t27 @t25))) % 41.52/41.77 (step @p42 :rule instantiate :premises (@p7) :args ((@list @t26 @t27 @t42))) % 41.52/41.77 (step @p43 :rule instantiate :premises (@p29) :args ((@list @t26 tptp.b))) % 41.52/41.77 (step @p44 :rule instantiate :premises (@p29) :args ((@list @t26 @t44))) % 41.52/41.77 (step @p45 :rule instantiate :premises (@p8) :args ((@list @t26 @t47 @t46))) % 41.52/41.77 (step @p46 :rule instantiate :premises (@p6) :args ((@list @t26 @t48))) % 41.52/41.77 (step @p47 :rule instantiate :premises (@p6) :args ((@list @t47 @t46))) % 41.52/41.77 (step @p48 :rule eq-symm :args (@t15 @t5)) % 41.52/41.77 (step @p49 :rule refl :args (@t20)) % 41.52/41.77 (step @p50 :rule refl :args (@t21)) % 41.52/41.77 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args (@t22)) % 41.52/41.77 (step @p52 :rule cong :premises (@p51) :args (@t23)) % 41.52/41.77 (step @p53 :rule eq_resolve :premises (@p11 @p52)) % 41.52/41.77 (step @p54 :rule eq-symm :args (@t50 @t27)) % 41.52/41.77 (step @p55 :rule eq-symm :args (@t51 tptp.one)) % 41.52/41.77 (step @p56 :rule cong :premises (@p55) :args (@t52)) % 41.52/41.77 (step @p57 :rule eq-symm :args (@t53 tptp.zero)) % 41.52/41.77 (step @p58 :rule cong :premises (@p57) :args (@t54)) % 41.52/41.77 (step @p59 :rule nary_cong :premises (@p58 @p56 @p54) :args (@t55)) % 41.52/41.77 (step @p60 :rule refl :args (@t56)) % 41.52/41.77 (step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t56 @t55))) % 41.52/41.77 (assume-push @p466 @t56) % 41.52/41.77 (step @p63 :rule instantiate :premises (@p53) :args (@t57)) % 41.52/41.77 (step-pop @p467 :rule scope :premises (@p63)) % 41.52/41.77 (step @p64 :rule process_scope :premises (@p467) :args (@t55)) % 41.52/41.77 (step @p66 :rule eq_resolve :premises (@p64 @p61)) % 41.52/41.77 (step @p67 :rule implies_elim :premises (@p66)) % 41.52/41.77 (step @p68 :rule chain_m_resolution :premises (@p67 @p53) :args (@t63 (@list false) (@list @t56))) % 41.52/41.77 (step @p69 :rule symm :premises (@p35)) % 41.52/41.77 (step @p70 :rule symm :premises (@p30)) % 41.52/41.77 (step @p71 :rule trans :premises (@p70 @p31)) % 41.52/41.77 (step @p72 :rule refl :args (@t27)) % 41.52/41.77 (step @p73 :rule cong :premises (@p72 @p71) :args (@t39)) % 41.52/41.77 (step @p74 :rule symm :premises (@p31)) % 41.52/41.77 (step @p75 :rule trans :premises (@p73 @p69 @p19)) % 41.52/41.77 (step @p76 :rule cong :premises (@p72 @p75) :args (@t40)) % 41.52/41.77 (step @p77 :rule trans :premises (@p76 @p74 @p30)) % 41.52/41.77 (step @p78 :rule cong :premises (@p72 @p77) :args (@t41)) % 41.52/41.77 (step @p79 :rule trans :premises (@p78 @p73 @p69)) % 41.52/41.77 (step @p80 :rule refl :args (@t25)) % 41.52/41.77 (step @p81 :rule cong :premises (@p80 @p79) :args (@t42)) % 41.52/41.77 (step @p82 :rule symm :premises (@p32)) % 41.52/41.77 (step @p83 :rule cong :premises (@p82 @p81) :args (@t65)) % 41.52/41.77 (step @p84 :rule symm :premises (@p42)) % 41.52/41.77 (step @p85 :rule symm :premises (@p81)) % 41.52/41.77 (step @p86 :rule symm :premises (@p39)) % 41.52/41.77 (step @p87 :rule trans :premises (@p86 @p85)) % 41.52/41.77 (step @p88 :rule cong :premises (@p72 @p87) :args (@t67)) % 41.52/41.77 (step @p89 :rule trans :premises (@p41 @p88)) % 41.52/41.77 (step @p90 :rule refl :args (@t26)) % 41.52/41.77 (step @p91 :rule cong :premises (@p90 @p89) :args (@t64)) % 41.52/41.77 (step @p92 :rule trans :premises (@p32 @p91 @p84 @p83)) % 41.52/41.77 (step @p93 :rule refl :args (tptp.b)) % 41.52/41.77 (step @p94 :rule cong :premises (@p93 @p92) :args (@t68)) % 41.52/41.77 (step @p95 :rule instantiate :premises (@p29) :args (@t71)) % 41.52/41.77 (step @p96 :rule symm :premises (@p95)) % 41.52/41.77 (step @p97 :rule instantiate :premises (@p5) :args (@t71)) % 41.52/41.77 (step @p98 :rule symm :premises (@p97)) % 41.52/41.77 (step @p99 :rule symm :premises (@p92)) % 41.52/41.77 (step @p100 :rule instantiate :premises (@p29) :args (@t72)) % 41.52/41.77 (step @p101 :rule symm :premises (@p100)) % 41.52/41.77 (step @p102 :rule cong :premises (@p101 @p99) :args ((tptp.join @t73 @t50))) % 41.52/41.77 (step @p103 :rule instantiate :premises (@p8) :args ((@list tptp.b @t25 @t50))) % 41.52/41.77 (step @p104 :rule symm :premises (@p103)) % 41.52/41.77 (step @p105 :rule cong :premises (@p80 @p92) :args ((tptp.join @t25 @t37))) % 41.52/41.77 (step @p106 :rule symm :premises (@p19)) % 41.52/41.77 (step @p107 :rule cong :premises (@p106 @p90) :args ((tptp.meet @t34 @t26))) % 41.52/41.77 (step @p108 :rule symm :premises (@p36)) % 41.52/41.77 (step @p109 :rule symm :premises (@p24)) % 41.52/41.77 (step @p110 :rule symm :premises (@p20)) % 41.52/41.77 (step @p111 :rule cong :premises (@p90 @p106) :args (@t74)) % 41.52/41.77 (step @p112 :rule trans :premises (@p111 @p110)) % 41.52/41.77 (step @p113 :rule cong :premises (@p72 @p112) :args (@t75)) % 41.52/41.77 (step @p114 :rule trans :premises (@p113 @p106)) % 41.52/41.77 (step @p115 :rule cong :premises (@p93 @p114) :args (@t76)) % 41.52/41.77 (step @p116 :rule trans :premises (@p115 @p109 @p25 @p33)) % 41.52/41.77 (step @p117 :rule cong :premises (@p90 @p116) :args (@t77)) % 41.52/41.77 (step @p118 :rule trans :premises (@p117 @p108)) % 41.52/41.77 (step @p119 :rule cong :premises (@p19 @p118) :args ((tptp.meet @t27 @t77))) % 41.52/41.77 (step @p120 :rule instantiate :premises (@p7) :args ((@list @t27 @t26 @t76))) % 41.52/41.77 (step @p121 :rule symm :premises (@p115)) % 41.52/41.77 (step @p122 :rule cong :premises (@p101 @p72) :args ((tptp.join @t73 @t27))) % 41.52/41.77 (step @p123 :rule instantiate :premises (@p8) :args ((@list tptp.b @t25 @t27))) % 41.52/41.77 (step @p124 :rule symm :premises (@p123)) % 41.52/41.77 (step @p125 :rule trans :premises (@p124 @p122 @p121)) % 41.52/41.77 (step @p126 :rule refl :args (@t37)) % 41.52/41.77 (step @p127 :rule cong :premises (@p126 @p125) :args (@t78)) % 41.52/41.77 (step @p128 :rule trans :premises (@p127 @p120 @p119 @p107)) % 41.52/41.77 (step @p129 :rule symm :premises (@p13)) % 41.52/41.77 (step @p130 :rule cong :premises (@p129 @p128) :args (@t79)) % 41.52/41.77 (step @p131 :rule trans :premises (@p130 @p105)) % 41.52/41.77 (step @p132 :rule cong :premises (@p93 @p131) :args ((tptp.join tptp.b @t79))) % 41.52/41.77 (step @p133 :rule symm :premises (@p130)) % 41.52/41.77 (step @p134 :rule cong :premises (@p129 @p82) :args ((tptp.join tptp.a @t64))) % 41.52/41.77 (step @p135 :rule instantiate :premises (@p6) :args ((@list @t64 tptp.a))) % 41.52/41.77 (step @p136 :rule trans :premises (@p135 @p134 @p133)) % 41.52/41.77 (step @p137 :rule cong :premises (@p93 @p136) :args (@t81)) % 41.52/41.77 (step @p138 :rule trans :premises (@p137 @p132 @p104 @p102)) % 41.52/41.77 (step @p139 :rule instantiate :premises (@p7) :args ((@list @t27 @t26 @t70))) % 41.52/41.77 (step @p140 :rule symm :premises (@p139)) % 41.52/41.77 (step @p141 :rule instantiate :premises (@p5) :args ((@list tptp.b @t69))) % 41.52/41.77 (step @p142 :rule instantiate :premises (@p18) :args (@t82)) % 41.52/41.77 (step @p143 :rule trans :premises (@p142 @p141)) % 41.52/41.77 (step @p144 :rule cong :premises (@p90 @p143) :args (@t43)) % 41.52/41.77 (step @p145 :rule cong :premises (@p72 @p144) :args ((tptp.meet @t27 @t43))) % 41.52/41.77 (step @p146 :rule instantiate :premises (@p29) :args (@t35)) % 41.52/41.77 (step @p147 :rule symm :premises (@p146)) % 41.52/41.77 (step @p148 :rule instantiate :premises (@p5) :args (@t33)) % 41.52/41.77 (step @p149 :rule eq-symm :args (@t18 tptp.zero)) % 41.52/41.77 (step @p150 :rule cong :premises (@p149) :args (@t19)) % 41.52/41.77 (step @p151 :rule eq_resolve :premises (@p10 @p150)) % 41.52/41.77 (step @p152 :rule instantiate :premises (@p151) :args (@t31)) % 41.52/41.77 (step @p153 :rule instantiate :premises (@p151) :args (@t30)) % 41.52/41.77 (step @p154 :rule symm :premises (@p153)) % 41.52/41.77 (step @p155 :rule trans :premises (@p73 @p69)) % 41.52/41.77 (step @p156 :rule cong :premises (@p93 @p155) :args ((tptp.meet tptp.b @t39))) % 41.52/41.77 (step @p157 :rule instantiate :premises (@p7) :args ((@list tptp.b @t27 @t38))) % 41.52/41.77 (step @p158 :rule refl :args (@t83)) % 41.52/41.77 (step @p159 :rule cong :premises (@p158 @p30) :args (@t84)) % 41.52/41.77 (step @p160 :rule trans :premises (@p159 @p157 @p156 @p154 @p152 @p148)) % 41.52/41.77 (step @p161 :rule cong :premises (@p90 @p160) :args (@t85)) % 41.52/41.77 (step @p162 :rule trans :premises (@p161 @p147)) % 41.52/41.77 (step @p163 :rule cong :premises (@p93 @p162) :args (@t86)) % 41.52/41.77 (step @p164 :rule trans :premises (@p163 @p37)) % 41.52/41.77 (step @p165 :rule cong :premises (@p72 @p164) :args ((tptp.meet @t27 @t86))) % 41.52/41.77 (step @p166 :rule instantiate :premises (@p7) :args ((@list @t27 tptp.b @t85))) % 41.52/41.77 (step @p167 :rule symm :premises (@p162)) % 41.52/41.77 (step @p168 :rule instantiate :premises (@p5) :args (@t82)) % 41.52/41.77 (step @p169 :rule cong :premises (@p168 @p167) :args (@t87)) % 41.52/41.77 (step @p170 :rule symm :premises (@p152)) % 41.52/41.77 (step @p171 :rule trans :premises (@p170 @p153)) % 41.52/41.77 (step @p172 :rule cong :premises (@p171 @p162) :args ((tptp.meet @t88 @t85))) % 41.52/41.77 (step @p173 :rule instantiate :premises (@p7) :args ((@list tptp.a @t26 @t85))) % 41.52/41.77 (step @p174 :rule symm :premises (@p173)) % 41.52/41.77 (step @p175 :rule symm :premises (@p161)) % 41.52/41.77 (step @p176 :rule cong :premises (@p90 @p175) :args (@t91)) % 41.52/41.77 (step @p177 :rule cong :premises (@p90 @p146) :args ((tptp.meet @t26 @t26))) % 41.52/41.77 (step @p178 :rule eq-symm :args (@t2 @t1)) % 41.52/41.77 (step @p179 :rule cong :premises (@p178) :args (@t4)) % 41.52/41.77 (step @p180 :rule eq_resolve :premises (@p1 @p179)) % 41.52/41.77 (step @p181 :rule instantiate :premises (@p180) :args ((@list @t26))) % 41.52/41.77 (step @p182 :rule trans :premises (@p181 @p177 @p176)) % 41.52/41.77 (step @p183 :rule instantiate :premises (@p5) :args (@t72)) % 41.52/41.77 (step @p184 :rule symm :premises (@p183)) % 41.52/41.77 (step @p185 :rule trans :premises (@p184 @p13)) % 41.52/41.77 (step @p186 :rule cong :premises (@p185 @p182) :args (@t92)) % 41.52/41.77 (step @p187 :rule symm :premises (@p185)) % 41.52/41.77 (step @p188 :rule cong :premises (@p187 @p90) :args (@t88)) % 41.52/41.77 (step @p189 :rule symm :premises (@p168)) % 41.52/41.77 (step @p190 :rule trans :premises (@p189 @p154 @p152 @p188 @p186 @p174 @p172 @p169 @p166 @p165 @p145 @p140)) % 41.52/41.77 (step @p191 :rule refl :args (@t68)) % 41.52/41.77 (step @p192 :rule cong :premises (@p191 @p190) :args ((tptp.join @t68 @t93))) % 41.52/41.77 (step @p193 :rule symm :premises (@p188)) % 41.52/41.77 (step @p194 :rule instantiate :premises (@p18) :args (@t94)) % 41.52/41.77 (step @p195 :rule symm :premises (@p194)) % 41.52/41.77 (step @p196 :rule instantiate :premises (@p29) :args (@t33)) % 41.52/41.77 (step @p197 :rule trans :premises (@p13 @p196)) % 41.52/41.77 (step @p198 :rule refl :args (tptp.a)) % 41.52/41.77 (step @p199 :rule cong :premises (@p198 @p197) :args (@t95)) % 41.52/41.77 (step @p200 :rule trans :premises (@p199 @p195)) % 41.52/41.77 (step @p201 :rule trans :premises (@p200 @p187)) % 41.52/41.77 (step @p202 :rule cong :premises (@p201 @p90) :args ((tptp.meet @t95 @t26))) % 41.52/41.77 (step @p203 :rule instantiate :premises (@p7) :args ((@list tptp.a @t25 @t26))) % 41.52/41.77 (step @p204 :rule symm :premises (@p203)) % 41.52/41.77 (step @p205 :rule cong :premises (@p184 @p90) :args (@t92)) % 41.52/41.77 (step @p206 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b @t26))) % 41.52/41.77 (step @p207 :rule symm :premises (@p206)) % 41.52/41.77 (step @p208 :rule refl :args (@t45)) % 41.52/41.77 (step @p209 :rule cong :premises (@p13 @p208) :args (@t96)) % 41.52/41.77 (step @p210 :rule trans :premises (@p209 @p207 @p205)) % 41.52/41.77 (step @p211 :rule cong :premises (@p198 @p210) :args ((tptp.meet tptp.a @t96))) % 41.52/41.77 (step @p212 :rule symm :premises (@p209)) % 41.52/41.77 (step @p213 :rule trans :premises (@p154 @p152 @p188 @p206 @p212)) % 41.52/41.77 (step @p214 :rule cong :premises (@p198 @p213) :args ((tptp.meet tptp.a @t83))) % 41.52/41.77 (step @p215 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b @t27))) % 41.52/41.77 (step @p216 :rule cong :premises (@p183 @p72) :args ((tptp.meet @t25 @t27))) % 41.52/41.77 (step @p217 :rule cong :premises (@p80 @p106) :args (@t97)) % 41.52/41.77 (step @p218 :rule trans :premises (@p217 @p216 @p215 @p214 @p211 @p204 @p202 @p193 @p170 @p153 @p168)) % 41.52/41.77 (step @p219 :rule cong :premises (@p93 @p82) :args (@t98)) % 41.52/41.77 (step @p220 :rule cong :premises (@p219 @p218) :args ((tptp.join @t98 @t97))) % 41.52/41.77 (step @p221 :rule instantiate :premises (@p8) :args ((@list tptp.b @t64 @t97))) % 41.52/41.77 (step @p222 :rule symm :premises (@p221)) % 41.52/41.77 (step @p223 :rule symm :premises (@p217)) % 41.52/41.77 (step @p224 :rule symm :premises (@p216)) % 41.52/41.77 (step @p225 :rule symm :premises (@p215)) % 41.52/41.77 (step @p226 :rule symm :premises (@p214)) % 41.52/41.77 (step @p227 :rule symm :premises (@p211)) % 41.52/41.77 (step @p228 :rule symm :premises (@p202)) % 41.52/41.77 (step @p229 :rule cong :premises (@p155 @p93) :args ((tptp.meet @t39 tptp.b))) % 41.52/41.77 (step @p230 :rule instantiate :premises (@p7) :args ((@list @t27 @t38 tptp.b))) % 41.52/41.77 (step @p231 :rule symm :premises (@p230)) % 41.52/41.77 (step @p232 :rule cong :premises (@p30 @p93) :args (@t93)) % 41.52/41.77 (step @p233 :rule symm :premises (@p148)) % 41.52/41.77 (step @p234 :rule symm :premises (@p181)) % 41.52/41.77 (step @p235 :rule symm :premises (@p177)) % 41.52/41.77 (step @p236 :rule trans :premises (@p235 @p234)) % 41.52/41.77 (step @p237 :rule cong :premises (@p236 @p198) :args ((tptp.meet @t91 tptp.a))) % 41.52/41.77 (step @p238 :rule instantiate :premises (@p7) :args ((@list @t26 @t90 tptp.a))) % 41.52/41.77 (step @p239 :rule symm :premises (@p238)) % 41.52/41.77 (step @p240 :rule cong :premises (@p146 @p198) :args (@t89)) % 41.52/41.77 (step @p241 :rule instantiate :premises (@p29) :args ((@list @t83 @t28))) % 41.52/41.77 (step @p242 :rule symm :premises (@p241)) % 41.52/41.77 (step @p243 :rule instantiate :premises (@p7) :args ((@list tptp.b @t27 @t28))) % 41.52/41.77 (step @p244 :rule symm :premises (@p243)) % 41.52/41.77 (step @p245 :rule cong :premises (@p93 @p19) :args (@t83)) % 41.52/41.77 (step @p246 :rule trans :premises (@p245 @p244)) % 41.52/41.77 (step @p247 :rule cong :premises (@p158 @p246) :args ((tptp.join @t83 @t83))) % 41.52/41.77 (step @p248 :rule symm :premises (@p186)) % 41.52/41.77 (step @p249 :rule symm :premises (@p172)) % 41.52/41.77 (step @p250 :rule cong :premises (@p158 @p162) :args (@t99)) % 41.52/41.77 (step @p251 :rule trans :premises (@p250 @p249 @p173 @p248 @p193 @p148)) % 41.52/41.77 (step @p252 :rule cong :premises (@p90 @p251) :args (@t100)) % 41.52/41.77 (step @p253 :rule trans :premises (@p252 @p147)) % 41.52/41.77 (step @p254 :rule cong :premises (@p158 @p253) :args (@t101)) % 41.52/41.77 (step @p255 :rule trans :premises (@p254 @p249 @p173 @p248 @p193 @p170 @p153)) % 41.52/41.77 (step @p256 :rule cong :premises (@p171 @p255) :args (@t102)) % 41.52/41.77 (step @p257 :rule trans :premises (@p256 @p247 @p242 @p154 @p152 @p148 @p240)) % 41.52/41.77 (step @p258 :rule cong :premises (@p90 @p257) :args ((tptp.meet @t26 @t102))) % 41.52/41.77 (step @p259 :rule symm :premises (@p256)) % 41.52/41.77 (step @p260 :rule symm :premises (@p247)) % 41.52/41.77 (step @p261 :rule trans :premises (@p189 @p241 @p260 @p259)) % 41.52/41.77 (step @p262 :rule cong :premises (@p90 @p261) :args (@t103)) % 41.52/41.77 (step @p263 :rule trans :premises (@p262 @p258 @p239 @p237 @p233 @p170 @p153 @p168 @p232)) % 41.52/41.77 (step @p264 :rule cong :premises (@p72 @p263) :args ((tptp.meet @t27 @t103))) % 41.52/41.77 (step @p265 :rule instantiate :premises (@p7) :args ((@list @t27 @t26 @t93))) % 41.52/41.77 (step @p266 :rule refl :args (@t93)) % 41.52/41.77 (step @p267 :rule cong :premises (@p82 @p266) :args (@t104)) % 41.52/41.77 (step @p268 :rule trans :premises (@p267 @p265 @p264 @p231 @p229 @p189 @p154 @p152 @p188 @p228 @p203 @p227 @p226 @p225 @p224 @p223)) % 41.52/41.77 (step @p269 :rule refl :args (@t64)) % 41.52/41.77 (step @p270 :rule cong :premises (@p269 @p268) :args ((tptp.join @t64 @t104))) % 41.52/41.77 (step @p271 :rule instantiate :premises (@p29) :args ((@list @t64 @t93))) % 41.52/41.77 (step @p272 :rule trans :premises (@p32 @p271 @p270)) % 41.52/41.77 (step @p273 :rule cong :premises (@p93 @p272) :args (@t68)) % 41.52/41.77 (step @p274 :rule symm :premises (@p94)) % 41.52/41.77 (step @p275 :rule trans :premises (@p274 @p273 @p222 @p220 @p192)) % 41.52/41.77 (step @p276 :rule instantiate :premises (@p18) :args ((@list @t37 tptp.a))) % 41.52/41.77 (step @p277 :rule symm :premises (@p276)) % 41.52/41.77 (step @p278 :rule cong :premises (@p82 @p198) :args (@t80)) % 41.52/41.77 (step @p279 :rule symm :premises (@p135)) % 41.52/41.77 (step @p280 :rule symm :premises (@p134)) % 41.52/41.77 (step @p281 :rule trans :premises (@p130 @p280 @p279 @p278)) % 41.52/41.77 (step @p282 :rule cong :premises (@p126 @p281) :args (@t105)) % 41.52/41.77 (step @p283 :rule trans :premises (@p282 @p277 @p32)) % 41.52/41.77 (step @p284 :rule trans :premises (@p283 @p82)) % 41.52/41.77 (step @p285 :rule cong :premises (@p284 @p275) :args ((tptp.meet @t105 @t51))) % 41.52/41.77 (step @p286 :rule instantiate :premises (@p6) :args (@t57)) % 41.52/41.77 (step @p287 :rule symm :premises (@p286)) % 41.52/41.77 (step @p288 :rule instantiate :premises (@p18) :args ((@list tptp.b @t106))) % 41.52/41.77 (step @p289 :rule symm :premises (@p288)) % 41.52/41.77 (step @p290 :rule cong :premises (@p92 @p289) :args (@t109)) % 41.52/41.77 (step @p291 :rule trans :premises (@p290 @p287)) % 41.52/41.77 (step @p292 :rule symm :premises (@p284)) % 41.52/41.77 (step @p293 :rule cong :premises (@p292 @p291) :args ((tptp.meet @t37 @t109))) % 41.52/41.77 (step @p294 :rule instantiate :premises (@p18) :args ((@list @t37 @t108))) % 41.52/41.77 (step @p295 :rule trans :premises (@p82 @p294 @p293 @p285)) % 41.52/41.77 (step @p296 :rule cong :premises (@p90 @p295) :args (@t110)) % 41.52/41.77 (step @p297 :rule trans :premises (@p38 @p296)) % 41.52/41.77 (step @p298 :rule cong :premises (@p297 @p138) :args ((tptp.meet @t26 @t81))) % 41.52/41.77 (step @p299 :rule symm :premises (@p137)) % 41.52/41.77 (step @p300 :rule symm :premises (@p132)) % 41.52/41.77 (step @p301 :rule symm :premises (@p102)) % 41.52/41.77 (step @p302 :rule instantiate :premises (@p5) :args (@t36)) % 41.52/41.77 (step @p303 :rule symm :premises (@p302)) % 41.52/41.77 (step @p304 :rule symm :premises (@p196)) % 41.52/41.77 (step @p305 :rule instantiate :premises (@p6) :args (@t94)) % 41.52/41.77 (step @p306 :rule symm :premises (@p305)) % 41.52/41.77 (step @p307 :rule refl :args (@t88)) % 41.52/41.77 (step @p308 :rule cong :premises (@p307 @p13) :args ((tptp.join @t88 @t25))) % 41.52/41.77 (step @p309 :rule instantiate :premises (@p18) :args (@t36)) % 41.52/41.77 (step @p310 :rule symm :premises (@p309)) % 41.52/41.77 (step @p311 :rule cong :premises (@p72 @p310) :args (@t111)) % 41.52/41.77 (step @p312 :rule trans :premises (@p311 @p86)) % 41.52/41.77 (step @p313 :rule cong :premises (@p80 @p312) :args (@t112)) % 41.52/41.77 (step @p314 :rule trans :premises (@p313 @p310)) % 41.52/41.77 (step @p315 :rule cong :premises (@p307 @p314) :args (@t113)) % 41.52/41.77 (step @p316 :rule trans :premises (@p315 @p308 @p306 @p304 @p129)) % 41.52/41.77 (step @p317 :rule cong :premises (@p72 @p316) :args ((tptp.meet @t27 @t113))) % 41.52/41.77 (step @p318 :rule symm :premises (@p315)) % 41.52/41.77 (step @p319 :rule symm :premises (@p308)) % 41.52/41.77 (step @p320 :rule trans :premises (@p196 @p305 @p319 @p318)) % 41.52/41.77 (step @p321 :rule cong :premises (@p72 @p320) :args (@t114)) % 41.52/41.77 (step @p322 :rule trans :premises (@p321 @p317 @p303 @p216 @p215 @p214 @p211 @p204 @p202 @p193 @p148)) % 41.52/41.77 (step @p323 :rule cong :premises (@p90 @p322) :args (@t115)) % 41.52/41.77 (step @p324 :rule trans :premises (@p323 @p147)) % 41.52/41.77 (step @p325 :rule cong :premises (@p19 @p324) :args (@t116)) % 41.52/41.77 (step @p326 :rule trans :premises (@p325 @p107)) % 41.52/41.77 (step @p327 :rule cong :premises (@p93 @p326) :args (@t117)) % 41.52/41.77 (step @p328 :rule trans :premises (@p327 @p301 @p103 @p300 @p299)) % 41.52/41.77 (step @p329 :rule cong :premises (@p90 @p328) :args ((tptp.meet @t26 @t117))) % 41.52/41.77 (step @p330 :rule instantiate :premises (@p12) :args ((@list @t26 tptp.b @t27 tptp.a))) % 41.52/41.77 (step @p331 :rule instantiate :premises (@p6) :args (@t82)) % 41.52/41.77 (step @p332 :rule symm :premises (@p331)) % 41.52/41.77 (step @p333 :rule trans :premises (@p332 @p109 @p25 @p33)) % 41.52/41.77 (step @p334 :rule cong :premises (@p72 @p333) :args ((tptp.meet @t27 (tptp.join @t27 tptp.b)))) % 41.52/41.77 (step @p335 :rule instantiate :premises (@p18) :args ((@list @t27 tptp.b))) % 41.52/41.77 (step @p336 :rule trans :premises (@p335 @p334)) % 41.52/41.77 (step @p337 :rule cong :premises (@p93 @p336) :args (@t69)) % 41.52/41.77 (step @p338 :rule trans :premises (@p115 @p337)) % 41.52/41.77 (step @p339 :rule cong :premises (@p90 @p338) :args (@t77)) % 41.52/41.77 (step @p340 :rule symm :premises (@p117)) % 41.52/41.77 (step @p341 :rule trans :premises (@p36 @p340 @p339 @p330 @p329 @p298 @p98)) % 41.52/41.77 (step @p342 :rule cong :premises (@p191 @p341) :args ((tptp.join @t68 @t26))) % 41.52/41.77 (step @p343 :rule instantiate :premises (@p6) :args ((@list @t26 @t68))) % 41.52/41.77 (step @p344 :rule cong :premises (@p90 @p327) :args ((tptp.join @t26 @t117))) % 41.52/41.77 (step @p345 :rule instantiate :premises (@p8) :args ((@list @t26 tptp.b @t116))) % 41.52/41.77 (step @p346 :rule symm :premises (@p326)) % 41.52/41.77 (step @p347 :rule instantiate :premises (@p6) :args ((@list tptp.b @t25))) % 41.52/41.77 (step @p348 :rule symm :premises (@p347)) % 41.52/41.77 (step @p349 :rule symm :premises (@p143)) % 41.52/41.77 (step @p350 :rule cong :premises (@p129 @p349) :args (@t118)) % 41.52/41.77 (step @p351 :rule trans :premises (@p350 @p348 @p101)) % 41.52/41.77 (step @p352 :rule cong :premises (@p90 @p351) :args ((tptp.join @t26 @t118))) % 41.52/41.77 (step @p353 :rule instantiate :premises (@p8) :args ((@list @t26 tptp.a @t70))) % 41.52/41.77 (step @p354 :rule refl :args (@t70)) % 41.52/41.77 (step @p355 :rule cong :premises (@p90 @p13) :args ((tptp.join @t26 @t25))) % 41.52/41.77 (step @p356 :rule symm :premises (@p355)) % 41.52/41.77 (step @p357 :rule trans :premises (@p109 @p25 @p33 @p356)) % 41.52/41.77 (step @p358 :rule trans :premises (@p357 @p355)) % 41.52/41.77 (step @p359 :rule cong :premises (@p358 @p354) :args ((tptp.join @t69 @t70))) % 41.52/41.77 (step @p360 :rule instantiate :premises (@p29) :args ((@list @t69 tptp.b))) % 41.52/41.77 (step @p361 :rule symm :premises (@p25)) % 41.52/41.77 (step @p362 :rule symm :premises (@p33)) % 41.52/41.77 (step @p363 :rule trans :premises (@p355 @p362 @p361 @p24 @p360 @p359 @p353 @p352)) % 41.52/41.77 (step @p364 :rule trans :premises (@p357 @p363)) % 41.52/41.77 (step @p365 :rule cong :premises (@p364 @p346) :args ((tptp.join @t69 @t37))) % 41.52/41.77 (step @p366 :rule symm :premises (@p357)) % 41.52/41.77 (step @p367 :rule trans :premises (@p33 @p356)) % 41.52/41.77 (step @p368 :rule trans :premises (@p367 @p366)) % 41.52/41.77 (step @p369 :rule cong :premises (@p368 @p82) :args ((tptp.join @t119 @t64))) % 41.52/41.77 (step @p370 :rule instantiate :premises (@p8) :args ((@list tptp.a @t26 @t64))) % 41.52/41.77 (step @p371 :rule symm :premises (@p370)) % 41.52/41.77 (step @p372 :rule cong :premises (@p198 @p38) :args (@t119)) % 41.52/41.77 (step @p373 :rule trans :premises (@p25 @p372 @p371 @p369 @p365 @p345 @p344 @p343 @p342 @p96 @p94)) % 41.52/41.77 (step @p374 :rule cong :premises (@p93 @p92) :args ((tptp.meet tptp.b @t37))) % 41.52/41.77 (step @p375 :rule cong :premises (@p19 @p162) :args (@t120)) % 41.52/41.77 (step @p376 :rule trans :premises (@p375 @p107)) % 41.52/41.77 (step @p377 :rule cong :premises (@p93 @p376) :args ((tptp.meet tptp.b @t120))) % 41.52/41.77 (step @p378 :rule instantiate :premises (@p7) :args ((@list tptp.b @t27 @t85))) % 41.52/41.77 (step @p379 :rule cong :premises (@p158 @p167) :args (@t87)) % 41.52/41.77 (step @p380 :rule trans :premises (@p152 @p188 @p186 @p174 @p172 @p379 @p378 @p377 @p374)) % 41.52/41.77 (step @p381 :rule cnf_or_pos :args (@t63)) % 41.52/41.77 (step @p382 :rule reordering :premises (@p381) :args ((or @t62 @t60 @t58 (not @t63)))) % 41.52/41.77 (step @p383 :rule chain_m_resolution :premises (@p382 @p380 @p373 @p68) :args (@t58 (@list false false false) (@list @t61 @t59 @t63))) % 41.52/41.77 (assume-push @p468 @t121) % 41.52/41.77 (assume-push @p469 @t123) % 41.52/41.77 (assume-push @p470 @t124) % 41.52/41.77 (assume-push @p471 @t125) % 41.52/41.77 (assume-push @p472 @t126) % 41.52/41.77 (assume-push @p473 @t127) % 41.52/41.77 (assume-push @p474 @t129) % 41.52/41.77 (assume-push @p475 @t130) % 41.52/41.77 (assume-push @p476 @t132) % 41.52/41.77 (assume-push @p477 @t134) % 41.52/41.77 (assume-push @p478 @t135) % 41.52/41.77 (assume-push @p479 @t136) % 41.52/41.77 (assume-push @p480 @t137) % 41.52/41.77 (assume-push @p481 @t138) % 41.52/41.77 (assume-push @p482 @t139) % 41.52/41.77 (assume-push @p483 @t142) % 41.52/41.77 (assume-push @p484 @t143) % 41.52/41.77 (assume-push @p485 @t144) % 41.52/41.77 (assume-push @p486 @t145) % 41.52/41.77 (assume-push @p487 @t147) % 41.52/41.77 (assume-push @p488 @t58) % 41.52/41.77 (assume-push @p489 @t150) % 41.52/41.77 (assume-push @p490 @t151) % 41.52/41.77 (assume-push @p491 @t153) % 41.52/41.77 (step @p408 :rule symm :premises (@p43)) % 41.52/41.77 (step @p409 :rule symm :premises (@p26)) % 41.52/41.77 (step @p410 :rule cong :premises (@p90 @p113) :args (@t154)) % 41.52/41.77 (step @p411 :rule trans :premises (@p410 @p111)) % 41.52/41.77 (step @p412 :rule cong :premises (@p90 @p411) :args ((tptp.meet @t26 @t154))) % 41.52/41.77 (step @p413 :rule symm :premises (@p410)) % 41.52/41.77 (step @p414 :rule symm :premises (@p111)) % 41.52/41.77 (step @p415 :rule trans :premises (@p20 @p414 @p413)) % 41.52/41.77 (step @p416 :rule cong :premises (@p90 @p415) :args (@t140)) % 41.52/41.77 (step @p417 :rule trans :premises (@p416 @p412 @p409)) % 41.52/41.77 (step @p418 :rule cong :premises (@p93 @p417) :args (@t141)) % 41.52/41.77 (step @p419 :rule trans :premises (@p40 @p418 @p37)) % 41.52/41.77 (step @p420 :rule cong :premises (@p90 @p419) :args ((tptp.join @t26 @t46))) % 41.52/41.77 (step @p421 :rule refl :args (@t46)) % 41.52/41.77 (step @p422 :rule symm :premises (@p44)) % 41.52/41.77 (step @p423 :rule cong :premises (@p422 @p421) :args (@t149)) % 41.52/41.77 (step @p424 :rule symm :premises (@p45)) % 41.52/41.77 (step @p425 :rule symm :premises (@p46)) % 41.52/41.77 (step @p426 :rule trans :premises (@p34 @p117 @p108)) % 41.52/41.77 (step @p427 :rule symm :premises (@p47)) % 41.52/41.77 (step @p428 :rule cong :premises (@p427 @p426) :args (@t155)) % 41.52/41.77 (step @p429 :rule trans :premises (@p428 @p425 @p424 @p423 @p420 @p408)) % 41.52/41.77 (step @p430 :rule cong :premises (@p429 @p19) :args ((tptp.join @t155 @t27))) % 41.52/41.77 (step @p431 :rule symm :premises (@p383)) % 41.52/41.77 (step @p432 :rule trans :premises (@p91 @p84 @p83 @p431)) % 41.52/41.77 (step @p433 :rule symm :premises (@p429)) % 41.52/41.77 (step @p434 :rule cong :premises (@p433 @p432) :args (@t110)) % 41.52/41.77 (step @p435 :rule trans :premises (@p38 @p434 @p430 @p111 @p110)) % 41.52/41.77 (step-pop @p492 :rule scope :premises (@p435)) % 41.52/41.77 (step-pop @p493 :rule scope :premises (@p492)) % 41.52/41.77 (step-pop @p494 :rule scope :premises (@p493)) % 41.52/41.77 (step-pop @p495 :rule scope :premises (@p494)) % 41.52/41.77 (step-pop @p496 :rule scope :premises (@p495)) % 41.52/41.77 (step-pop @p497 :rule scope :premises (@p496)) % 41.52/41.77 (step-pop @p498 :rule scope :premises (@p497)) % 41.52/41.77 (step-pop @p499 :rule scope :premises (@p498)) % 41.52/41.77 (step-pop @p500 :rule scope :premises (@p499)) % 41.52/41.77 (step-pop @p501 :rule scope :premises (@p500)) % 41.52/41.77 (step-pop @p502 :rule scope :premises (@p501)) % 41.52/41.77 (step-pop @p503 :rule scope :premises (@p502)) % 41.52/41.77 (step-pop @p504 :rule scope :premises (@p503)) % 41.52/41.77 (step-pop @p505 :rule scope :premises (@p504)) % 41.52/41.77 (step-pop @p506 :rule scope :premises (@p505)) % 41.52/41.77 (step-pop @p507 :rule scope :premises (@p506)) % 41.52/41.77 (step-pop @p508 :rule scope :premises (@p507)) % 41.52/41.77 (step-pop @p509 :rule scope :premises (@p508)) % 41.52/41.77 (step-pop @p510 :rule scope :premises (@p509)) % 41.52/41.77 (step-pop @p511 :rule scope :premises (@p510)) % 41.52/41.77 (step-pop @p512 :rule scope :premises (@p511)) % 41.52/41.77 (step-pop @p513 :rule scope :premises (@p512)) % 41.52/41.77 (step-pop @p514 :rule scope :premises (@p513)) % 41.52/41.77 (step-pop @p515 :rule scope :premises (@p514)) % 41.52/41.77 (step @p436 :rule process_scope :premises (@p515) :args (@t156)) % 41.52/41.77 (step @p461 :rule implies_elim :premises (@p436)) % 41.52/41.77 (step @p462 :rule cnf_and_neg :args (@t157)) % 41.52/41.77 (step @p463 :rule resolution :premises (@p462 @p461) :args (true @t157)) % 41.52/41.77 (step @p464 :rule reordering :premises (@p463) :args ((or @t156 (not @t121) (not @t123) (not @t124) (not @t125) (not @t126) (not @t127) (not @t129) (not @t130) (not @t132) (not @t134) (not @t135) (not @t136) (not @t137) (not @t138) (not @t139) (not @t142) (not @t143) (not @t144) (not @t145) (not @t147) (not @t58) (not @t150) (not @t151) (not @t153)))) % 41.52/41.77 (step @p465 false :rule chain_m_resolution :premises (@p464 @p383 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p26 @p25 @p24 @p20 @p19 @p15) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t58 @t153 @t151 @t150 @t147 @t145 @t144 @t143 @t142 @t139 @t138 @t137 @t136 @t135 @t134 @t132 @t130 @t129 @t127 @t126 @t125 @t124 @t123 @t121 @t156))) % 41.52/41.77 ) % 41.52/41.77 % SZS output end Proof % 41.52/41.77 % cvc5 exiting %------------------------------------------------------------------------------