%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL962^16 : TPTP v9.3.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:16 AM UTC 2026 % Result : Theorem 0.19s 0.53s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL962^16 : TPTP v9.3.1. Released v8.1.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.36 % Computer : n018.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Sat Sep 5 21:18:49 UTC 2026 % 0.08/0.37 % CPUTime : % 0.08/0.44 %----Proving TH0 % 0.19/0.53 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.19/0.53 % SZS status Theorem % 0.19/0.53 % SZS output start Proof % 0.19/0.53 ( % 0.19/0.53 (declare-sort tptp.mindex 0) % 0.19/0.53 (declare-sort tptp.mworld 0) % 0.19/0.53 (declare-const tptp.mactual tptp.mworld) % 0.19/0.53 (declare-const tptp.mrel (-> tptp.mindex tptp.mworld tptp.mworld Bool)) % 0.19/0.53 (declare-const tptp.p (-> tptp.mworld Bool)) % 0.19/0.53 (declare-const |tptp.'#a'| tptp.mindex) % 0.19/0.53 (declare-const |tptp.'#b'| tptp.mindex) % 0.19/0.53 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.19/0.53 (define tptp.mnot () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.19/0.53 (define tptp.mand () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.19/0.53 (define tptp.mor () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.19/0.53 (define tptp.mimplies () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.19/0.53 (define tptp.mequiv () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.19/0.53 (define tptp.mbox () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (let ((_let_4 (@var "R" tptp.mindex))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ (_ tptp.mrel _let_4) _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.19/0.53 (define tptp.mdia () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (let ((_let_4 (@var "R" tptp.mindex))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ (_ tptp.mrel _let_4) _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.19/0.53 (define @t1 () (@var "W" tptp.mworld)) % 0.19/0.53 (define @t2 () (_ tptp.mrel |tptp.'#b'|)) % 0.19/0.53 (define @t3 () (_ @t2 @t1)) % 0.19/0.53 (define @t4 () (_ @t3 @t1)) % 0.19/0.53 (define @t5 () (@list @t1)) % 0.19/0.53 (define @t6 () (forall @t5 @t4)) % 0.19/0.53 (define @t7 () (@var "U" tptp.mworld)) % 0.19/0.53 (define @t8 () (@var "V" tptp.mworld)) % 0.19/0.53 (define @t9 () (@list @t1 @t8 @t7)) % 0.19/0.53 (define @t10 () (_ tptp.mrel |tptp.'#a'|)) % 0.19/0.53 (define @t11 () (_ @t10 @t1)) % 0.19/0.53 (define @t12 () (_ (_ tptp.mbox |tptp.'#b'|) tptp.p)) % 0.19/0.53 (define @t13 () (_ tptp.mbox |tptp.'#a'|)) % 0.19/0.53 (define @t14 () (_ tptp.mnot @t12)) % 0.19/0.53 (define @t15 () (_ tptp.mnot tptp.p)) % 0.19/0.53 (define @t16 () (not (_ tptp.mlocal (_ @t13 @t15)))) % 0.19/0.53 (define @t17 () (@var "Phi" (-> tptp.mworld Bool))) % 0.19/0.53 (define @t18 () (lambda (@list @t17) (_ @t17 tptp.mactual))) % 0.19/0.53 (define @t19 () (@var "A" (-> tptp.mworld Bool))) % 0.19/0.53 (define @t20 () (_ @t19 @t1)) % 0.19/0.53 (define @t21 () (lambda (@list @t19 @t1) (not @t20))) % 0.19/0.53 (define @t22 () (@var "B" (-> tptp.mworld Bool))) % 0.19/0.53 (define @t23 () (_ @t22 @t1)) % 0.19/0.53 (define @t24 () (@list @t19 @t22 @t1)) % 0.19/0.53 (define @t25 () (lambda @t24 (and @t20 @t23))) % 0.19/0.53 (define @t26 () (lambda @t24 (or @t20 @t23))) % 0.19/0.53 (define @t27 () (lambda @t24 (=> @t20 @t23))) % 0.19/0.53 (define @t28 () (lambda @t24 (= @t20 @t23))) % 0.19/0.53 (define @t29 () (_ @t17 @t8)) % 0.19/0.53 (define @t30 () (@var "R" tptp.mindex)) % 0.19/0.53 (define @t31 () (_ (_ (_ tptp.mrel @t30) @t1) @t8)) % 0.19/0.53 (define @t32 () (@list @t8)) % 0.19/0.53 (define @t33 () (forall @t32 (=> @t31 @t29))) % 0.19/0.53 (define @t34 () (@list @t30 @t17 @t1)) % 0.19/0.53 (define @t35 () (lambda @t34 @t33)) % 0.19/0.53 (define @t36 () (lambda @t34 (exists @t32 (and @t31 @t29)))) % 0.19/0.53 (define @t37 () (@var "BOUND_VARIABLE_7670" tptp.mworld)) % 0.19/0.53 (define @t38 () (tptp.p @t37)) % 0.19/0.53 (define @t39 () (not (tptp.mrel |tptp.'#b'| @t8 @t37))) % 0.19/0.53 (define @t40 () (tptp.p @t8)) % 0.19/0.53 (define @t41 () (not @t40)) % 0.19/0.53 (define @t42 () (not (tptp.mrel |tptp.'#a'| tptp.mactual @t8))) % 0.19/0.53 (define @t43 () (@list @t8 @t37)) % 0.19/0.53 (define @t44 () (forall @t43 (or @t42 @t41 @t39 @t38))) % 0.19/0.53 (define @t45 () (not (tptp.mrel |tptp.'#a'| @t1 @t8))) % 0.19/0.53 (define @t46 () (or @t45 @t41 @t39 @t38)) % 0.19/0.53 (define @t47 () (lambda @t5 (forall @t43 @t46))) % 0.19/0.53 (define @t48 () (_ @t47 tptp.mactual)) % 0.19/0.53 (define @t49 () (or @t39 @t38)) % 0.19/0.53 (define @t50 () (or @t45 @t41 @t49)) % 0.19/0.53 (define @t51 () (forall @t43 @t50)) % 0.19/0.53 (define @t52 () (@list @t37)) % 0.19/0.53 (define @t53 () (forall @t52 @t50)) % 0.19/0.53 (define @t54 () (forall @t52 @t49)) % 0.19/0.53 (define @t55 () (@var "BOUND_VARIABLE_7644" tptp.mworld)) % 0.19/0.53 (define @t56 () (@list @t55)) % 0.19/0.53 (define @t57 () (or @t45 @t41 @t54)) % 0.19/0.53 (define @t58 () (tptp.p @t55)) % 0.19/0.53 (define @t59 () (@list @t55)) % 0.19/0.53 (define @t60 () (forall @t59 (or (not (tptp.mrel |tptp.'#b'| @t8 @t55)) @t58))) % 0.19/0.53 (define @t61 () (_ tptp.p @t8)) % 0.19/0.53 (define @t62 () (not @t61)) % 0.19/0.53 (define @t63 () (or @t45 @t62 @t60)) % 0.19/0.53 (define @t64 () (=> @t61 @t60)) % 0.19/0.53 (define @t65 () (or @t45 @t64)) % 0.19/0.53 (define @t66 () (_ tptp.p @t1)) % 0.19/0.53 (define @t67 () (not (tptp.mrel |tptp.'#b'| @t1 @t8))) % 0.19/0.53 (define @t68 () (forall @t32 (or @t67 @t40))) % 0.19/0.53 (define @t69 () (@list @t8)) % 0.19/0.53 (define @t70 () (=> @t66 @t68)) % 0.19/0.53 (define @t71 () (lambda @t5 @t70)) % 0.19/0.53 (define @t72 () (or @t45 (_ @t71 @t8))) % 0.19/0.53 (define @t73 () (forall @t32 @t72)) % 0.19/0.53 (define @t74 () (lambda @t5 @t73)) % 0.19/0.53 (define @t75 () (_ @t17 @t8)) % 0.19/0.53 (define @t76 () (@list @t17 @t1)) % 0.19/0.53 (define @t77 () (lambda @t76 (forall @t32 (or @t45 @t75)))) % 0.19/0.53 (define @t78 () (lambda @t5 @t68)) % 0.19/0.53 (define @t79 () (_ @t78 @t1)) % 0.19/0.53 (define @t80 () (=> @t66 @t79)) % 0.19/0.53 (define @t81 () (lambda @t5 @t80)) % 0.19/0.53 (define @t82 () (@list @t22 @t1)) % 0.19/0.53 (define @t83 () (lambda @t82 (=> @t66 @t23))) % 0.19/0.53 (define @t84 () (lambda @t76 (forall @t32 (or @t67 @t75)))) % 0.19/0.53 (define @t85 () (tptp.mrel @t30 @t1 @t8)) % 0.19/0.53 (define @t86 () (lambda @t34 (forall @t32 (or (not @t85) @t75)))) % 0.19/0.53 (define @t87 () (_ @t86 |tptp.'#a'|)) % 0.19/0.53 (define @t88 () (not @t31)) % 0.19/0.53 (define @t89 () (or @t88 @t29)) % 0.19/0.53 (define @t90 () (tptp.mrel |tptp.'#b'| @t1 @t1)) % 0.19/0.53 (define @t91 () (@list tptp.mactual)) % 0.19/0.53 (define @t92 () (tptp.p tptp.mactual)) % 0.19/0.53 (define @t93 () (_ tptp.p tptp.mactual)) % 0.19/0.53 (define @t94 () (not @t93)) % 0.19/0.53 (define @t95 () (lambda @t5 (not @t66))) % 0.19/0.53 (define @t96 () (_ @t95 tptp.mactual)) % 0.19/0.53 (define @t97 () (_ @t21 tptp.p)) % 0.19/0.53 (define @t98 () (tptp.mrel |tptp.'#b'| tptp.mactual tptp.mactual)) % 0.19/0.53 (define @t99 () (not @t98)) % 0.19/0.53 (define @t100 () (or @t99 @t92)) % 0.19/0.53 (define @t101 () (not @t100)) % 0.19/0.53 (define @t102 () (@list true false)) % 0.19/0.53 (define @t103 () (forall @t32 (or (not (tptp.mrel |tptp.'#b'| tptp.mactual @t8)) @t40))) % 0.19/0.53 (define @t104 () (not @t103)) % 0.19/0.53 (define @t105 () (@list true)) % 0.19/0.53 (define @t106 () (@var "BOUND_VARIABLE_7712" tptp.mworld)) % 0.19/0.53 (define @t107 () (tptp.p @t106)) % 0.19/0.53 (define @t108 () (@list @t106)) % 0.19/0.53 (define @t109 () (not (forall @t108 (or (not (tptp.mrel |tptp.'#b'| @t8 @t106)) @t107)))) % 0.19/0.53 (define @t110 () (forall @t32 (or @t42 @t109))) % 0.19/0.53 (define @t111 () (forall @t32 (or @t45 @t109))) % 0.19/0.53 (define @t112 () (not @t68)) % 0.19/0.53 (define @t113 () (lambda @t5 (=> @t112 @t111))) % 0.19/0.53 (define @t114 () (_ @t113 tptp.mactual)) % 0.19/0.53 (define @t115 () (lambda @t5 @t111)) % 0.19/0.53 (define @t116 () (_ @t115 @t1)) % 0.19/0.53 (define @t117 () (=> @t112 @t116)) % 0.19/0.53 (define @t118 () (lambda @t5 @t117)) % 0.19/0.53 (define @t119 () (lambda @t5 @t112)) % 0.19/0.53 (define @t120 () (or @t45 (_ @t119 @t8))) % 0.19/0.53 (define @t121 () (forall @t32 @t120)) % 0.19/0.53 (define @t122 () (lambda @t5 @t121)) % 0.19/0.53 (define @t123 () (not @t79)) % 0.19/0.53 (define @t124 () (lambda @t5 @t123)) % 0.19/0.53 (define @t125 () (_ @t119 @t1)) % 0.19/0.53 (define @t126 () (=> @t125 @t23)) % 0.19/0.53 (define @t127 () (lambda @t82 @t126)) % 0.19/0.53 (define @t128 () (forall @t32 (or @t42 @t41))) % 0.19/0.53 (define @t129 () (@quantifiers_skolemize @t128 0)) % 0.19/0.53 (define @t130 () (forall @t108 (or (not (tptp.mrel |tptp.'#b'| @t129 @t106)) @t107))) % 0.19/0.53 (define @t131 () (not @t130)) % 0.19/0.53 (define @t132 () (tptp.mrel |tptp.'#a'| tptp.mactual @t129)) % 0.19/0.53 (define @t133 () (not @t132)) % 0.19/0.53 (define @t134 () (or @t133 @t131)) % 0.19/0.53 (define @t135 () (lambda @t5 (forall @t32 (or @t45 @t41)))) % 0.19/0.53 (define @t136 () (_ @t135 tptp.mactual)) % 0.19/0.53 (define @t137 () (or @t45 @t62)) % 0.19/0.53 (define @t138 () (_ @t95 @t8)) % 0.19/0.53 (define @t139 () (or @t45 @t138)) % 0.19/0.53 (define @t140 () (forall @t32 @t139)) % 0.19/0.53 (define @t141 () (lambda @t5 @t140)) % 0.19/0.53 (define @t142 () (tptp.p @t129)) % 0.19/0.53 (define @t143 () (not @t142)) % 0.19/0.53 (define @t144 () (or @t133 @t143)) % 0.19/0.53 (define @t145 () (@list @t144)) % 0.19/0.53 (define @t146 () (@quantifiers_skolemize @t130 0)) % 0.19/0.53 (define @t147 () (tptp.p @t146)) % 0.19/0.53 (define @t148 () (tptp.mrel |tptp.'#b'| @t129 @t146)) % 0.19/0.53 (define @t149 () (not @t148)) % 0.19/0.53 (define @t150 () (or @t149 @t147)) % 0.19/0.53 (define @t151 () (not @t150)) % 0.19/0.53 (define @t152 () (@list @t150)) % 0.19/0.53 (define @t153 () (or @t133 @t143 @t149 @t147)) % 0.19/0.53 (define @t154 () (not @t153)) % 0.19/0.53 (assume @p1 @t6) % 0.19/0.53 (assume @p2 (forall @t9 (=> (and (_ @t3 @t8) (_ (_ @t2 @t8) @t7)) (_ @t3 @t7)))) % 0.19/0.53 (assume @p3 (forall @t5 (_ @t11 @t1))) % 0.19/0.53 (assume @p4 (forall @t9 (=> (and (_ @t11 @t8) (_ (_ @t10 @t8) @t7)) (_ @t11 @t7)))) % 0.19/0.53 (assume @p5 (_ tptp.mlocal (_ @t13 (_ (_ tptp.mimplies tptp.p) @t12)))) % 0.19/0.53 (assume @p6 (_ tptp.mlocal (_ (_ tptp.mimplies @t14) (_ @t13 @t14)))) % 0.19/0.53 (assume @p7 (_ tptp.mlocal @t15)) % 0.19/0.53 (assume @p8 @t16) % 0.19/0.53 (assume @p9 true) % 0.19/0.53 (step @p10 (= tptp.mlocal @t18) :rule refl :args (@t18)) % 0.19/0.53 (step @p11 (= tptp.mnot @t21) :rule refl :args (@t21)) % 0.19/0.53 (step @p12 (= tptp.mand @t25) :rule refl :args (@t25)) % 0.19/0.53 (step @p13 (= tptp.mor @t26) :rule refl :args (@t26)) % 0.19/0.53 (step @p14 (= tptp.mimplies @t27) :rule refl :args (@t27)) % 0.19/0.53 (step @p15 (= tptp.mequiv @t28) :rule refl :args (@t28)) % 0.19/0.53 (step @p16 (= tptp.mbox @t35) :rule refl :args (@t35)) % 0.19/0.53 (step @p17 (= tptp.mdia @t36) :rule refl :args (@t36)) % 0.19/0.53 (step @p18 :rule beta-reduce :args ((= @t48 @t44))) % 0.19/0.53 (step @p19 :rule beta-reduce :args ((= (_ @t18 @t47) @t48))) % 0.19/0.53 (step @p20 :rule trans :premises (@p19 @p18)) % 0.19/0.53 (step @p21 :rule aci_norm :args ((= @t50 @t46))) % 0.19/0.53 (step @p22 :rule cong :premises (@p21) :args (@t51)) % 0.19/0.53 (step @p23 :rule quant-merge-prenex :args ((= (forall @t32 @t53) @t51))) % 0.19/0.53 (step @p24 :rule alpha_equiv :args (@t54 (@list @t37) @t56)) % 0.19/0.53 (step @p25 :rule refl :args (@t41)) % 0.19/0.53 (step @p26 :rule refl :args (@t45)) % 0.19/0.53 (step @p27 :rule nary_cong :premises (@p26 @p25 @p24) :args (@t57)) % 0.19/0.53 (step @p28 :rule quant-miniscope-or :args ((= @t53 @t57))) % 0.19/0.53 (step @p29 :rule trans :premises (@p28 @p27)) % 0.19/0.53 (step @p30 :rule symm :premises (@p29)) % 0.19/0.53 (step @p31 :rule cong :premises (@p30) :args ((forall @t32 (or @t45 @t41 @t60)))) % 0.19/0.53 (step @p32 :rule trans :premises (@p31 @p23)) % 0.19/0.53 (step @p33 :rule trans :premises (@p32 @p22)) % 0.19/0.53 (step @p34 :rule refl :args (@t60)) % 0.19/0.53 (step @p35 :rule refl :args (@t40)) % 0.19/0.53 (step @p36 :rule refl :args (@t61)) % 0.19/0.53 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t61 @t40))) % 0.19/0.53 (step @p38 :rule symm :premises (@p37)) % 0.19/0.53 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.19/0.53 (step @p40 :rule cong :premises (@p39) :args (@t62)) % 0.19/0.53 (step @p41 :rule nary_cong :premises (@p26 @p40 @p34) :args (@t63)) % 0.19/0.53 (step @p42 :rule cong :premises (@p41) :args ((forall @t32 @t63))) % 0.19/0.53 (step @p43 :rule trans :premises (@p42 @p33)) % 0.19/0.53 (step @p44 :rule aci_norm :args ((= (or @t45 (or @t62 @t60)) @t63))) % 0.19/0.53 (step @p45 :rule bool-impl-elim :args (@t61 @t60)) % 0.19/0.53 (step @p46 :rule nary_cong :premises (@p26 @p45) :args (@t65)) % 0.19/0.53 (step @p47 :rule trans :premises (@p46 @p44)) % 0.19/0.53 (step @p48 :rule cong :premises (@p47) :args ((forall @t32 @t65))) % 0.19/0.53 (step @p49 :rule trans :premises (@p48 @p43)) % 0.19/0.53 (step @p50 :rule beta-reduce :args ((= (_ (lambda @t5 (=> @t66 (forall @t59 (or (not (tptp.mrel |tptp.'#b'| @t1 @t55)) @t58)))) @t8) @t64))) % 0.19/0.53 (step @p51 :rule refl :args (@t8)) % 0.19/0.53 (step @p52 :rule alpha_equiv :args (@t68 @t69 @t56)) % 0.19/0.53 (step @p53 :rule refl :args (@t66)) % 0.19/0.53 (step @p54 :rule cong :premises (@p53 @p52) :args (@t70)) % 0.19/0.53 (step @p55 :rule cong :premises (@p54) :args (@t71)) % 0.19/0.53 (step @p56 :rule ho_cong :premises (@p55 @p51)) % 0.19/0.53 (step @p57 :rule trans :premises (@p56 @p50)) % 0.19/0.53 (step @p58 :rule refl :args (@t45)) % 0.19/0.53 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t72)) % 0.19/0.53 (step @p60 :rule cong :premises (@p59) :args (@t73)) % 0.19/0.53 (step @p61 :rule trans :premises (@p60 @p49)) % 0.19/0.53 (step @p62 :rule cong :premises (@p61) :args (@t74)) % 0.19/0.53 (step @p63 :rule beta-reduce :args ((= (_ @t77 @t71) @t74))) % 0.19/0.53 (step @p64 :rule trans :premises (@p63 @p62)) % 0.19/0.53 (step @p65 :rule beta-reduce :args ((= @t79 @t68))) % 0.19/0.53 (step @p66 :rule refl :args (@t66)) % 0.19/0.53 (step @p67 :rule cong :premises (@p66 @p65) :args (@t80)) % 0.19/0.53 (step @p68 :rule cong :premises (@p67) :args (@t81)) % 0.19/0.53 (step @p69 :rule beta-reduce :args ((= (_ @t83 @t78) @t81))) % 0.19/0.54 (step @p70 :rule trans :premises (@p69 @p68)) % 0.19/0.54 (step @p71 :rule beta-reduce :args ((= (_ @t84 tptp.p) @t78))) % 0.19/0.54 (step @p72 :rule refl :args (tptp.p)) % 0.19/0.54 (step @p73 :rule beta-reduce 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(step @p252 :rule cnf_or_neg :args (@t150 1)) % 0.19/0.54 (step @p253 :rule chain_m_resolution :premises (@p252 @p251) :args ((not @t147) @t105 @t152)) % 0.19/0.54 (step @p254 :rule bool-double-not-elim :args (@t148)) % 0.19/0.54 (step @p255 :rule refl :args (@t150)) % 0.19/0.54 (step @p256 :rule nary_cong :premises (@p255 @p254) :args ((or @t150 (not @t149)))) % 0.19/0.54 (step @p257 :rule cnf_or_neg :args (@t150 0)) % 0.19/0.54 (step @p258 :rule eq_resolve :premises (@p257 @p256)) % 0.19/0.54 (step @p259 :rule reordering :premises (@p258) :args ((or @t148 @t150))) % 0.19/0.54 (step @p260 :rule chain_m_resolution :premises (@p259 @p251) :args (@t148 @t105 @t152)) % 0.19/0.54 (step @p261 :rule bool-double-not-elim :args (@t142)) % 0.19/0.54 (step @p262 :rule nary_cong :premises (@p233 @p261) :args ((or @t144 (not @t143)))) % 0.19/0.54 (step @p263 :rule cnf_or_neg :args (@t144 1)) % 0.19/0.54 (step @p264 :rule eq_resolve :premises (@p263 @p262)) % 0.19/0.54 (step @p265 :rule reordering 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%------------------------------------------------------------------------------