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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : CSR018+1 : TPTP v9.2.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n022.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 08:11:12 AM UTC 2026

% Result   : Theorem 0.37s 0.61s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR018+1 : TPTP v9.2.1. Bugfixed v3.1.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n022.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 : Mon Jun  1 20:37:08 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.37/0.61  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.37/0.61  % SZS status Theorem
% 0.37/0.61  % SZS output start Proof
% 0.37/0.61  (
% 0.37/0.61  (declare-sort $$unsorted 0)
% 0.37/0.61  (declare-const tptp.n3 $$unsorted)
% 0.37/0.61  (declare-const tptp.n7 $$unsorted)
% 0.37/0.61  (declare-const tptp.forwards $$unsorted)
% 0.37/0.61  (declare-const tptp.n2 $$unsorted)
% 0.37/0.61  (declare-const tptp.backwards $$unsorted)
% 0.37/0.61  (declare-const tptp.pull $$unsorted)
% 0.37/0.61  (declare-const tptp.spinning $$unsorted)
% 0.37/0.61  (declare-const tptp.push $$unsorted)
% 0.37/0.61  (declare-const tptp.terminates (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.37/0.61  (declare-const tptp.initiates (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.37/0.61  (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool))
% 0.37/0.61  (declare-const tptp.antitrajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool))
% 0.37/0.61  (declare-const tptp.n6 $$unsorted)
% 0.37/0.61  (declare-const tptp.less (-> $$unsorted $$unsorted Bool))
% 0.37/0.61  (declare-const tptp.startedIn (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.37/0.61  (declare-const tptp.happens (-> $$unsorted $$unsorted Bool))
% 0.37/0.61  (declare-const tptp.n9 $$unsorted)
% 0.37/0.61  (declare-const tptp.n5 $$unsorted)
% 0.37/0.61  (declare-const tptp.releases (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.37/0.61  (declare-const tptp.holdsAt (-> $$unsorted $$unsorted Bool))
% 0.37/0.61  (declare-const tptp.stoppedIn (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.37/0.61  (declare-const tptp.trajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool))
% 0.37/0.61  (declare-const tptp.n8 $$unsorted)
% 0.37/0.61  (declare-const tptp.n4 $$unsorted)
% 0.37/0.61  (declare-const tptp.n0 $$unsorted)
% 0.37/0.61  (declare-const tptp.n1 $$unsorted)
% 0.37/0.61  (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.61  (declare-const tptp.releasedAt (-> $$unsorted $$unsorted Bool))
% 0.37/0.61  (define @t1 () (@var "Time" $$unsorted))
% 0.37/0.61  (define @t2 () (@var "Fluent" $$unsorted))
% 0.37/0.61  (define @t3 () (@var "Event" $$unsorted))
% 0.37/0.61  (define @t4 () (tptp.terminates @t3 @t2 @t1))
% 0.37/0.61  (define @t5 () (@var "Time2" $$unsorted))
% 0.37/0.61  (define @t6 () (tptp.less @t1 @t5))
% 0.37/0.61  (define @t7 () (@var "Time1" $$unsorted))
% 0.37/0.61  (define @t8 () (tptp.less @t7 @t1))
% 0.37/0.61  (define @t9 () (tptp.happens @t3 @t1))
% 0.37/0.61  (define @t10 () (@list @t3 @t1))
% 0.37/0.61  (define @t11 () (tptp.initiates @t3 @t2 @t1))
% 0.37/0.61  (define @t12 () (@var "Offset" $$unsorted))
% 0.37/0.61  (define @t13 () (tptp.plus @t1 @t12))
% 0.37/0.61  (define @t14 () (@var "Fluent2" $$unsorted))
% 0.37/0.61  (define @t15 () (tptp.plus @t7 @t5))
% 0.37/0.61  (define @t16 () (@var "Fluent1" $$unsorted))
% 0.37/0.61  (define @t17 () (tptp.plus @t1 tptp.n1))
% 0.37/0.61  (define @t18 () (tptp.holdsAt @t2 @t17))
% 0.37/0.61  (define @t19 () (and @t9 @t4))
% 0.37/0.61  (define @t20 () (@list @t3))
% 0.37/0.61  (define @t21 () (tptp.releasedAt @t2 @t17))
% 0.37/0.61  (define @t22 () (not @t21))
% 0.37/0.61  (define @t23 () (tptp.holdsAt @t2 @t1))
% 0.37/0.61  (define @t24 () (@list @t2 @t1))
% 0.37/0.61  (define @t25 () (not @t18))
% 0.37/0.61  (define @t26 () (and @t9 @t11))
% 0.37/0.61  (define @t27 () (and @t9 (or @t11 @t4)))
% 0.37/0.61  (define @t28 () (tptp.releasedAt @t2 @t1))
% 0.37/0.61  (define @t29 () (tptp.releases @t3 @t2 @t1))
% 0.37/0.61  (define @t30 () (and @t9 @t29))
% 0.37/0.61  (define @t31 () (not @t28))
% 0.37/0.61  (define @t32 () (@list @t3 @t1 @t2))
% 0.37/0.61  (define @t33 () (forall @t32 (=> @t26 @t18)))
% 0.37/0.61  (define @t34 () (tptp.happens tptp.push @t1))
% 0.37/0.61  (define @t35 () (= @t2 tptp.spinning))
% 0.37/0.61  (define @t36 () (= @t3 tptp.pull))
% 0.37/0.61  (define @t37 () (not @t34))
% 0.37/0.61  (define @t38 () (= @t2 tptp.backwards))
% 0.37/0.61  (define @t39 () (not (tptp.happens tptp.pull @t1)))
% 0.37/0.61  (define @t40 () (= @t2 tptp.forwards))
% 0.37/0.61  (define @t41 () (= @t3 tptp.push))
% 0.37/0.61  (define @t42 () (@list @t3 @t2 @t1))
% 0.37/0.61  (define @t43 () (forall @t42 (= @t11 (or (and @t41 @t40 @t39) (and @t36 @t38 @t37) (and @t36 @t35 @t34)))))
% 0.37/0.61  (define @t44 () (= @t1 tptp.n2))
% 0.37/0.61  (define @t45 () (forall @t10 (= @t9 (or (and @t41 (= @t1 tptp.n0)) (and @t36 (= @t1 tptp.n1)) (and @t36 @t44) (and @t41 @t44)))))
% 0.37/0.61  (define @t46 () (= tptp.push tptp.pull))
% 0.37/0.61  (define @t47 () (= tptp.forwards tptp.backwards))
% 0.37/0.61  (define @t48 () (tptp.plus tptp.n1 tptp.n1))
% 0.37/0.61  (define @t49 () (@var "X" $$unsorted))
% 0.37/0.61  (define @t50 () (@var "Y" $$unsorted))
% 0.37/0.61  (define @t51 () (@list @t49 @t50))
% 0.37/0.61  (define @t52 () (= @t49 @t50))
% 0.37/0.61  (define @t53 () (tptp.less @t49 @t50))
% 0.37/0.61  (define @t54 () (forall @t51 (= (tptp.less_or_equal @t49 @t50) (or @t53 @t52))))
% 0.37/0.61  (define @t55 () (@list @t49))
% 0.37/0.61  (define @t56 () (forall @t55 (= (tptp.less @t49 tptp.n1) (tptp.less_or_equal @t49 tptp.n0))))
% 0.37/0.61  (define @t57 () (forall @t55 (= (tptp.less @t49 tptp.n2) (tptp.less_or_equal @t49 tptp.n1))))
% 0.37/0.61  (define @t58 () (not (= @t50 @t49)))
% 0.37/0.61  (define @t59 () (not (tptp.less @t50 @t49)))
% 0.37/0.61  (define @t60 () (and @t59 @t58))
% 0.37/0.61  (define @t61 () (= @t53 @t60))
% 0.37/0.61  (define @t62 () (forall @t51 @t61))
% 0.37/0.61  (define @t63 () (tptp.less tptp.n1 tptp.n2))
% 0.37/0.61  (define @t64 () (tptp.less_or_equal tptp.n1 tptp.n1))
% 0.37/0.61  (define @t65 () (= @t63 @t64))
% 0.37/0.61  (define @t66 () (@list tptp.n1))
% 0.37/0.61  (define @t67 () (= @t64 @t63))
% 0.37/0.61  (define @t68 () (@list false))
% 0.37/0.61  (define @t69 () (tptp.less tptp.n1 tptp.n1))
% 0.37/0.61  (define @t70 () (= tptp.n1 tptp.n1))
% 0.37/0.61  (define @t71 () (or @t69 @t70))
% 0.37/0.61  (define @t72 () (= @t64 @t71))
% 0.37/0.61  (define @t73 () (@list @t54))
% 0.37/0.61  (define @t74 () (@list false false))
% 0.37/0.61  (define @t75 () (= tptp.n1 tptp.n2))
% 0.37/0.61  (define @t76 () (= tptp.push tptp.push))
% 0.37/0.61  (define @t77 () (and @t76 @t75))
% 0.37/0.61  (define @t78 () (and @t46 @t75))
% 0.37/0.61  (define @t79 () (and @t46 @t70))
% 0.37/0.61  (define @t80 () (= tptp.n0 tptp.n1))
% 0.37/0.61  (define @t81 () (= tptp.n1 tptp.n0))
% 0.37/0.61  (define @t82 () (and @t76 @t81))
% 0.37/0.61  (define @t83 () (or @t82 @t79 @t78 @t77))
% 0.37/0.61  (define @t84 () (tptp.happens tptp.push tptp.n1))
% 0.37/0.61  (define @t85 () (= @t84 @t83))
% 0.37/0.61  (define @t86 () (or @t80 @t46 @t78 @t75))
% 0.37/0.61  (define @t87 () (= @t84 @t86))
% 0.37/0.61  (define @t88 () (@list @t45))
% 0.37/0.61  (define @t89 () (= tptp.backwards tptp.spinning))
% 0.37/0.61  (define @t90 () (and @t89 @t84))
% 0.37/0.61  (define @t91 () (= tptp.pull tptp.pull))
% 0.37/0.61  (define @t92 () (and @t91 @t89 @t84))
% 0.37/0.61  (define @t93 () (not @t84))
% 0.37/0.61  (define @t94 () (and @t91 (= tptp.backwards tptp.backwards) @t93))
% 0.37/0.61  (define @t95 () (tptp.happens tptp.pull tptp.n1))
% 0.37/0.61  (define @t96 () (not @t95))
% 0.37/0.61  (define @t97 () (= tptp.pull tptp.push))
% 0.37/0.61  (define @t98 () (and @t97 (= tptp.backwards tptp.forwards) @t96))
% 0.37/0.61  (define @t99 () (or @t98 @t94 @t92))
% 0.37/0.61  (define @t100 () (tptp.initiates tptp.pull tptp.backwards tptp.n1))
% 0.37/0.61  (define @t101 () (= @t100 @t99))
% 0.37/0.61  (define @t102 () (or (and @t46 @t47 @t96) @t93 @t90))
% 0.37/0.61  (define @t103 () (= @t100 @t102))
% 0.37/0.61  (define @t104 () (not @t11))
% 0.37/0.61  (define @t105 () (not @t9))
% 0.37/0.61  (define @t106 () (and @t97 @t75))
% 0.37/0.61  (define @t107 () (and @t91 @t75))
% 0.37/0.61  (define @t108 () (and @t91 @t70))
% 0.37/0.61  (define @t109 () (and @t97 @t81))
% 0.37/0.61  (define @t110 () (or @t109 @t108 @t107 @t106))
% 0.37/0.61  (define @t111 () (= @t95 @t110))
% 0.37/0.61  (define @t112 () (tptp.holdsAt tptp.backwards @t48))
% 0.37/0.61  (define @t113 () (not @t100))
% 0.37/0.61  (define @t114 () (or @t96 @t113 @t112))
% 0.37/0.61  (define @t115 () (not @t102))
% 0.37/0.61  (define @t116 () (@list true false))
% 0.37/0.61  (define @t117 () (@list true))
% 0.37/0.61  (define @t118 () (not @t78))
% 0.37/0.61  (define @t119 () (tptp.less tptp.n0 tptp.n1))
% 0.37/0.61  (define @t120 () (tptp.less_or_equal tptp.n0 tptp.n0))
% 0.37/0.61  (define @t121 () (= @t119 @t120))
% 0.37/0.61  (define @t122 () (= @t120 @t119))
% 0.37/0.61  (define @t123 () (@list @t56))
% 0.37/0.61  (define @t124 () (tptp.less tptp.n0 tptp.n0))
% 0.37/0.61  (define @t125 () (or @t124 (= tptp.n0 tptp.n0)))
% 0.37/0.61  (define @t126 () (= @t120 @t125))
% 0.37/0.61  (define @t127 () (not @t80))
% 0.37/0.61  (define @t128 () (tptp.less tptp.n1 tptp.n0))
% 0.37/0.61  (define @t129 () (not @t128))
% 0.37/0.61  (define @t130 () (and @t129 @t127))
% 0.37/0.61  (define @t131 () (= @t119 @t130))
% 0.37/0.61  (define @t132 () (not @t119))
% 0.37/0.61  (define @t133 () (tptp.less_or_equal tptp.n1 tptp.n0))
% 0.37/0.61  (define @t134 () (= @t69 @t133))
% 0.37/0.61  (define @t135 () (= @t133 @t69))
% 0.37/0.61  (define @t136 () (or @t128 @t81))
% 0.37/0.61  (define @t137 () (= @t133 @t136))
% 0.37/0.61  (define @t138 () (@list tptp.n1 tptp.n0))
% 0.37/0.61  (define @t139 () (or @t128 @t80))
% 0.37/0.61  (define @t140 () (= @t133 @t139))
% 0.37/0.61  (define @t141 () (not @t81))
% 0.37/0.61  (define @t142 () (and @t132 @t141))
% 0.37/0.61  (define @t143 () (= @t128 @t142))
% 0.37/0.61  (define @t144 () (forall @t51 (= @t53 (and @t59 (not @t52)))))
% 0.37/0.61  (define @t145 () (and @t132 @t127))
% 0.37/0.61  (define @t146 () (= @t128 @t145))
% 0.37/0.61  (define @t147 () (not @t145))
% 0.37/0.61  (define @t148 () (not @t139))
% 0.37/0.61  (define @t149 () (not @t133))
% 0.37/0.61  (define @t150 () (not @t69))
% 0.37/0.61  (assume @p1 (forall (@list @t7 @t2 @t5) (= (tptp.stoppedIn @t7 @t2 @t5) (exists @t10 (and @t9 @t8 @t6 @t4)))))
% 0.37/0.61  (assume @p2 (forall (@list @t7 @t5 @t2) (= (tptp.startedIn @t7 @t2 @t5) (exists @t10 (and @t9 @t8 @t6 @t11)))))
% 0.37/0.61  (assume @p3 (forall (@list @t3 @t1 @t2 @t14 @t12) (=> (and @t9 @t11 (tptp.less tptp.n0 @t12) (tptp.trajectory @t2 @t1 @t14 @t12) (not (tptp.stoppedIn @t1 @t2 @t13))) (tptp.holdsAt @t14 @t13))))
% 0.37/0.61  (assume @p4 (forall (@list @t3 @t7 @t16 @t5 @t14) (=> (and (tptp.happens @t3 @t7) (tptp.terminates @t3 @t16 @t7) (tptp.less tptp.n0 @t5) (tptp.antitrajectory @t16 @t7 @t14 @t5) (not (tptp.startedIn @t7 @t16 @t15))) (tptp.holdsAt @t14 @t15))))
% 0.37/0.61  (assume @p5 (forall @t24 (=> (and @t23 @t22 (not (exists @t20 @t19))) @t18)))
% 0.37/0.61  (assume @p6 (forall @t24 (=> (and (not @t23) @t22 (not (exists @t20 @t26))) @t25)))
% 0.37/0.61  (assume @p7 (forall @t24 (=> (and @t28 (not (exists @t20 @t27))) @t21)))
% 0.37/0.61  (assume @p8 (forall @t24 (=> (and @t31 (not (exists @t20 @t30))) @t22)))
% 0.37/0.61  (assume @p9 @t33)
% 0.37/0.61  (assume @p10 (forall @t32 (=> @t19 @t25)))
% 0.37/0.61  (assume @p11 (forall @t32 (=> @t30 @t21)))
% 0.37/0.61  (assume @p12 (forall @t32 (=> @t27 @t22)))
% 0.37/0.61  (assume @p13 @t43)
% 0.37/0.61  (assume @p14 (forall @t42 (= @t4 (or (and @t41 @t38 @t39) (and @t36 @t40 @t37) (and @t36 @t40 @t34) (and @t36 @t38 @t34) (and @t41 @t35 @t39) (and @t36 @t35 @t37)))))
% 0.37/0.61  (assume @p15 (forall @t42 (not @t29)))
% 0.37/0.61  (assume @p16 @t45)
% 0.37/0.61  (assume @p17 (not @t46))
% 0.37/0.61  (assume @p18 (not @t47))
% 0.37/0.61  (assume @p19 (not (= tptp.forwards tptp.spinning)))
% 0.37/0.61  (assume @p20 (not (= tptp.spinning tptp.backwards)))
% 0.37/0.61  (assume @p21 (= (tptp.plus tptp.n0 tptp.n0) tptp.n0))
% 0.37/0.61  (assume @p22 (= (tptp.plus tptp.n0 tptp.n1) tptp.n1))
% 0.37/0.61  (assume @p23 (= (tptp.plus tptp.n0 tptp.n2) tptp.n2))
% 0.37/0.61  (assume @p24 (= (tptp.plus tptp.n0 tptp.n3) tptp.n3))
% 0.37/0.61  (assume @p25 (= @t48 tptp.n2))
% 0.37/0.61  (assume @p26 (= (tptp.plus tptp.n1 tptp.n2) tptp.n3))
% 0.37/0.61  (assume @p27 (= (tptp.plus tptp.n1 tptp.n3) tptp.n4))
% 0.37/0.61  (assume @p28 (= (tptp.plus tptp.n2 tptp.n2) tptp.n4))
% 0.37/0.61  (assume @p29 (= (tptp.plus tptp.n2 tptp.n3) tptp.n5))
% 0.37/0.61  (assume @p30 (= (tptp.plus tptp.n3 tptp.n3) tptp.n6))
% 0.37/0.61  (assume @p31 (forall @t51 (= (tptp.plus @t49 @t50) (tptp.plus @t50 @t49))))
% 0.37/0.61  (assume @p32 @t54)
% 0.37/0.61  (assume @p33 (not (exists @t55 (tptp.less @t49 tptp.n0))))
% 0.37/0.61  (assume @p34 @t56)
% 0.37/0.61  (assume @p35 @t57)
% 0.37/0.61  (assume @p36 (forall @t55 (= (tptp.less @t49 tptp.n3) (tptp.less_or_equal @t49 tptp.n2))))
% 0.37/0.61  (assume @p37 (forall @t55 (= (tptp.less @t49 tptp.n4) (tptp.less_or_equal @t49 tptp.n3))))
% 0.37/0.61  (assume @p38 (forall @t55 (= (tptp.less @t49 tptp.n5) (tptp.less_or_equal @t49 tptp.n4))))
% 0.37/0.61  (assume @p39 (forall @t55 (= (tptp.less @t49 tptp.n6) (tptp.less_or_equal @t49 tptp.n5))))
% 0.37/0.61  (assume @p40 (forall @t55 (= (tptp.less @t49 tptp.n7) (tptp.less_or_equal @t49 tptp.n6))))
% 0.37/0.61  (assume @p41 (forall @t55 (= (tptp.less @t49 tptp.n8) (tptp.less_or_equal @t49 tptp.n7))))
% 0.37/0.61  (assume @p42 (forall @t55 (= (tptp.less @t49 tptp.n9) (tptp.less_or_equal @t49 tptp.n8))))
% 0.37/0.61  (assume @p43 @t62)
% 0.37/0.61  (assume @p44 (not (tptp.holdsAt tptp.forwards tptp.n0)))
% 0.37/0.61  (assume @p45 (not (tptp.holdsAt tptp.backwards tptp.n0)))
% 0.37/0.61  (assume @p46 (not (tptp.holdsAt tptp.spinning tptp.n0)))
% 0.37/0.61  (assume @p47 (forall @t24 @t31))
% 0.37/0.61  (assume @p48 (not (tptp.holdsAt tptp.backwards tptp.n2)))
% 0.37/0.61  (assume @p49 true)
% 0.37/0.61  (step @p50 :rule evaluate :args ((= false true)))
% 0.37/0.61  (step @p51 :rule eq-symm :args (@t63 @t64))
% 0.37/0.61  (step @p52 :rule refl :args (@t57))
% 0.37/0.61  (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t57 @t65)))
% 0.37/0.61  (assume-push @p294 @t57)
% 0.37/0.61  (step @p55 :rule instantiate :premises (@p35) :args (@t66))
% 0.37/0.61  (step-pop @p295 :rule scope :premises (@p55))
% 0.37/0.61  (step @p56 :rule process_scope :premises (@p295) :args (@t65))
% 0.37/0.61  (step @p58 :rule eq_resolve :premises (@p56 @p53))
% 0.37/0.61  (step @p59 :rule implies_elim :premises (@p58))
% 0.37/0.61  (step @p60 :rule chain_m_resolution :premises (@p59 @p35) :args (@t67 @t68 (@list @t57)))
% 0.37/0.61  (step @p61 :rule bool-eq-true :args (@t64))
% 0.37/0.61  (step @p62 :rule absorb :args ((= (or @t69 true) true)))
% 0.37/0.61  (step @p63 :rule eq-refl :args (tptp.n1))
% 0.37/0.61  (step @p64 :rule refl :args (@t69))
% 0.37/0.61  (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t71))
% 0.37/0.61  (step @p66 :rule trans :premises (@p65 @p62))
% 0.37/0.61  (step @p67 :rule refl :args (@t64))
% 0.37/0.61  (step @p68 :rule cong :premises (@p67 @p66) :args (@t72))
% 0.37/0.61  (step @p69 :rule trans :premises (@p68 @p61))
% 0.37/0.61  (step @p70 :rule refl :args (@t54))
% 0.37/0.61  (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t54 @t72)))
% 0.37/0.61  (assume-push @p296 @t54)
% 0.37/0.61  (step @p73 :rule instantiate :premises (@p32) :args ((@list tptp.n1 tptp.n1)))
% 0.37/0.61  (step-pop @p297 :rule scope :premises (@p73))
% 0.37/0.61  (step @p74 :rule process_scope :premises (@p297) :args (@t72))
% 0.37/0.61  (step @p76 :rule eq_resolve :premises (@p74 @p71))
% 0.37/0.61  (step @p77 :rule implies_elim :premises (@p76))
% 0.37/0.61  (step @p78 :rule chain_m_resolution :premises (@p77 @p32) :args (@t64 @t68 @t73))
% 0.37/0.61  (step @p79 :rule cnf_equiv_pos1 :args (@t67))
% 0.37/0.61  (step @p80 :rule reordering :premises (@p79) :args ((or @t63 (not @t64) (not @t67))))
% 0.37/0.61  (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p60) :args (@t63 @t74 (@list @t64 @t67)))
% 0.37/0.61  (step @p82 :rule true_intro :premises (@p81))
% 0.37/0.61  (step @p83 :rule aci_norm :args ((= (and true @t75) @t75)))
% 0.37/0.61  (step @p84 :rule refl :args (@t75))
% 0.37/0.61  (step @p85 :rule eq-refl :args (tptp.push))
% 0.37/0.61  (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t77))
% 0.37/0.61  (step @p87 :rule trans :premises (@p86 @p83))
% 0.37/0.61  (step @p88 :rule refl :args (@t78))
% 0.37/0.61  (step @p89 :rule aci_norm :args ((= (and @t46 true) @t46)))
% 0.37/0.61  (step @p90 :rule refl :args (@t46))
% 0.37/0.61  (step @p91 :rule nary_cong :premises (@p90 @p63) :args (@t79))
% 0.37/0.61  (step @p92 :rule trans :premises (@p91 @p89))
% 0.37/0.61  (step @p93 :rule aci_norm :args ((= (and true @t80) @t80)))
% 0.37/0.61  (step @p94 :rule eq-symm :args (tptp.n1 tptp.n0))
% 0.37/0.61  (step @p95 :rule nary_cong :premises (@p85 @p94) :args (@t82))
% 0.37/0.61  (step @p96 :rule trans :premises (@p95 @p93))
% 0.37/0.61  (step @p97 :rule nary_cong :premises (@p96 @p92 @p88 @p87) :args (@t83))
% 0.37/0.61  (step @p98 :rule refl :args (@t84))
% 0.37/0.61  (step @p99 :rule cong :premises (@p98 @p97) :args (@t85))
% 0.37/0.61  (step @p100 :rule refl :args (@t45))
% 0.37/0.61  (step @p101 :rule cong :premises (@p100 @p99) :args ((=> @t45 @t85)))
% 0.37/0.61  (assume-push @p298 @t45)
% 0.37/0.61  (step @p103 :rule instantiate :premises (@p16) :args ((@list tptp.push tptp.n1)))
% 0.37/0.61  (step-pop @p299 :rule scope :premises (@p103))
% 0.37/0.61  (step @p104 :rule process_scope :premises (@p299) :args (@t85))
% 0.37/0.61  (step @p106 :rule eq_resolve :premises (@p104 @p101))
% 0.37/0.61  (step @p107 :rule implies_elim :premises (@p106))
% 0.37/0.61  (step @p108 :rule chain_m_resolution :premises (@p107 @p16) :args (@t87 @t68 @t88))
% 0.37/0.61  (step @p109 :rule aci_norm :args ((= (and true @t89 @t84) @t90)))
% 0.37/0.61  (step @p110 :rule refl :args (@t89))
% 0.37/0.61  (step @p111 :rule eq-refl :args (tptp.pull))
% 0.37/0.61  (step @p112 :rule nary_cong :premises (@p111 @p110 @p98) :args (@t92))
% 0.37/0.61  (step @p113 :rule trans :premises (@p112 @p109))
% 0.37/0.61  (step @p114 :rule aci_norm :args ((= (and true true @t93) @t93)))
% 0.37/0.61  (step @p115 :rule refl :args (@t93))
% 0.37/0.61  (step @p116 :rule eq-refl :args (tptp.backwards))
% 0.37/0.61  (step @p117 :rule nary_cong :premises (@p111 @p116 @p115) :args (@t94))
% 0.37/0.61  (step @p118 :rule trans :premises (@p117 @p114))
% 0.37/0.61  (step @p119 :rule refl :args (@t96))
% 0.37/0.61  (step @p120 :rule eq-symm :args (tptp.backwards tptp.forwards))
% 0.37/0.61  (step @p121 :rule eq-symm :args (tptp.pull tptp.push))
% 0.37/0.61  (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t98))
% 0.37/0.61  (step @p123 :rule nary_cong :premises (@p122 @p118 @p113) :args (@t99))
% 0.37/0.61  (step @p124 :rule refl :args (@t100))
% 0.37/0.61  (step @p125 :rule cong :premises (@p124 @p123) :args (@t101))
% 0.37/0.61  (step @p126 :rule refl :args (@t43))
% 0.37/0.61  (step @p127 :rule cong :premises (@p126 @p125) :args ((=> @t43 @t101)))
% 0.37/0.61  (assume-push @p300 @t43)
% 0.37/0.61  (step @p129 :rule instantiate :premises (@p13) :args ((@list tptp.pull tptp.backwards tptp.n1)))
% 0.37/0.61  (step-pop @p301 :rule scope :premises (@p129))
% 0.37/0.61  (step @p130 :rule process_scope :premises (@p301) :args (@t101))
% 0.37/0.61  (step @p132 :rule eq_resolve :premises (@p130 @p127))
% 0.37/0.61  (step @p133 :rule implies_elim :premises (@p132))
% 0.37/0.61  (step @p134 :rule chain_m_resolution :premises (@p133 @p13) :args (@t103 @t68 (@list @t43)))
% 0.37/0.61  (step @p135 :rule aci_norm :args ((= (or (or @t105 @t104) @t18) (or @t105 @t104 @t18))))
% 0.37/0.61  (step @p136 :rule refl :args (@t18))
% 0.37/0.61  (step @p137 :rule bool-and-de-morgan :args (@t9 @t11 true))
% 0.37/0.61  (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((or (not @t26) @t18)))
% 0.37/0.61  (step @p139 :rule trans :premises (@p138 @p135))
% 0.37/0.61  (step @p140 :rule bool-impl-elim :args (@t26 @t18))
% 0.37/0.61  (step @p141 :rule trans :premises (@p140 @p139))
% 0.37/0.61  (step @p142 :rule cong :premises (@p141) :args (@t33))
% 0.37/0.61  (step @p143 :rule eq_resolve :premises (@p9 @p142))
% 0.37/0.61  (step @p144 :rule instantiate :premises (@p143) :args ((@list tptp.pull tptp.n1 tptp.backwards)))
% 0.37/0.61  (step @p145 :rule bool-eq-true :args (@t95))
% 0.37/0.61  (step @p146 :rule absorb :args ((= (or (and @t46 @t80) true @t75 @t78) true)))
% 0.37/0.61  (step @p147 :rule nary_cong :premises (@p121 @p84) :args (@t106))
% 0.37/0.61  (step @p148 :rule nary_cong :premises (@p111 @p84) :args (@t107))
% 0.37/0.61  (step @p149 :rule trans :premises (@p148 @p83))
% 0.37/0.61  (step @p150 :rule evaluate :args ((and true true)))
% 0.37/0.61  (step @p151 :rule nary_cong :premises (@p111 @p63) :args (@t108))
% 0.37/0.61  (step @p152 :rule trans :premises (@p151 @p150))
% 0.37/0.61  (step @p153 :rule nary_cong :premises (@p121 @p94) :args (@t109))
% 0.37/0.61  (step @p154 :rule nary_cong :premises (@p153 @p152 @p149 @p147) :args (@t110))
% 0.37/0.61  (step @p155 :rule trans :premises (@p154 @p146))
% 0.37/0.61  (step @p156 :rule refl :args (@t95))
% 0.37/0.61  (step @p157 :rule cong :premises (@p156 @p155) :args (@t111))
% 0.37/0.61  (step @p158 :rule trans :premises (@p157 @p145))
% 0.37/0.61  (step @p159 :rule cong :premises (@p100 @p158) :args ((=> @t45 @t111)))
% 0.37/0.61  (assume-push @p302 @t45)
% 0.37/0.61  (step @p161 :rule instantiate :premises (@p16) :args ((@list tptp.pull tptp.n1)))
% 0.37/0.61  (step-pop @p303 :rule scope :premises (@p161))
% 0.37/0.61  (step @p162 :rule process_scope :premises (@p303) :args (@t111))
% 0.37/0.61  (step @p164 :rule eq_resolve :premises (@p162 @p159))
% 0.37/0.61  (step @p165 :rule implies_elim :premises (@p164))
% 0.37/0.61  (step @p166 :rule chain_m_resolution :premises (@p165 @p16) :args (@t95 @t68 @t88))
% 0.37/0.61  (step @p167 :rule false_intro :premises (@p48))
% 0.37/0.61  (step @p168 :rule refl :args (tptp.backwards))
% 0.37/0.61  (step @p169 :rule cong :premises (@p168 @p25) :args (@t112))
% 0.37/0.61  (step @p170 :rule trans :premises (@p169 @p167))
% 0.37/0.61  (step @p171 :rule false_elim :premises (@p170))
% 0.37/0.61  (step @p172 :rule cnf_or_pos :args (@t114))
% 0.37/0.61  (step @p173 :rule reordering :premises (@p172) :args ((or @t112 @t96 @t113 (not @t114))))
% 0.37/0.61  (step @p174 :rule chain_m_resolution :premises (@p173 @p171 @p166 @p144) :args (@t113 (@list true false false) (@list @t112 @t95 @t114)))
% 0.37/0.61  (step @p175 :rule cnf_equiv_pos2 :args (@t103))
% 0.37/0.61  (step @p176 :rule reordering :premises (@p175) :args ((or @t100 @t115 (not @t103))))
% 0.37/0.61  (step @p177 :rule chain_m_resolution :premises (@p176 @p174 @p134) :args (@t115 @t116 (@list @t100 @t103)))
% 0.37/0.61  (step @p178 :rule bool-double-not-elim :args (@t84))
% 0.37/0.61  (step @p179 :rule refl :args (@t102))
% 0.37/0.61  (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or @t102 (not @t93))))
% 0.37/0.61  (step @p181 :rule cnf_or_neg :args (@t102 1))
% 0.37/0.61  (step @p182 :rule eq_resolve :premises (@p181 @p180))
% 0.37/0.61  (step @p183 :rule reordering :premises (@p182) :args ((or @t84 @t102)))
% 0.37/0.61  (step @p184 :rule chain_m_resolution :premises (@p183 @p177) :args (@t84 @t117 (@list @t102)))
% 0.37/0.61  (step @p185 :rule cnf_equiv_pos1 :args (@t87))
% 0.37/0.61  (step @p186 :rule reordering :premises (@p185) :args ((or @t93 @t86 (not @t87))))
% 0.37/0.61  (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p108) :args (@t86 @t74 (@list @t84 @t87)))
% 0.37/0.61  (step @p188 :rule cnf_and_pos :args (@t78 0))
% 0.37/0.61  (step @p189 :rule reordering :premises (@p188) :args ((or @t46 @t118)))
% 0.37/0.61  (step @p190 :rule chain_m_resolution :premises (@p189 @p17) :args (@t118 @t117 (@list @t46)))
% 0.37/0.61  (step @p191 :rule eq-symm :args (@t50 @t49))
% 0.37/0.61  (step @p192 :rule cong :premises (@p191) :args (@t58))
% 0.37/0.61  (step @p193 :rule refl :args (@t59))
% 0.37/0.61  (step @p194 :rule nary_cong :premises (@p193 @p192) :args (@t60))
% 0.37/0.61  (step @p195 :rule refl :args (@t53))
% 0.37/0.61  (step @p196 :rule cong :premises (@p195 @p194) :args (@t61))
% 0.37/0.61  (step @p197 :rule cong :premises (@p196) :args (@t62))
% 0.37/0.61  (step @p198 :rule eq_resolve :premises (@p43 @p197))
% 0.37/0.61  (step @p199 :rule instantiate :premises (@p198) :args ((@list tptp.n0 tptp.n1)))
% 0.37/0.61  (step @p200 :rule eq-symm :args (@t119 @t120))
% 0.37/0.61  (step @p201 :rule refl :args (@t56))
% 0.37/0.61  (step @p202 :rule cong :premises (@p201 @p200) :args ((=> @t56 @t121)))
% 0.37/0.61  (assume-push @p304 @t56)
% 0.37/0.61  (step @p204 :rule instantiate :premises (@p34) :args ((@list tptp.n0)))
% 0.37/0.61  (step-pop @p305 :rule scope :premises (@p204))
% 0.37/0.61  (step @p205 :rule process_scope :premises (@p305) :args (@t121))
% 0.37/0.61  (step @p207 :rule eq_resolve :premises (@p205 @p202))
% 0.37/0.61  (step @p208 :rule implies_elim :premises (@p207))
% 0.37/0.61  (step @p209 :rule chain_m_resolution :premises (@p208 @p34) :args (@t122 @t68 @t123))
% 0.37/0.61  (step @p210 :rule bool-eq-true :args (@t120))
% 0.37/0.61  (step @p211 :rule absorb :args ((= (or @t124 true) true)))
% 0.37/0.61  (step @p212 :rule eq-refl :args (tptp.n0))
% 0.37/0.61  (step @p213 :rule refl :args (@t124))
% 0.37/0.61  (step @p214 :rule nary_cong :premises (@p213 @p212) :args (@t125))
% 0.37/0.61  (step @p215 :rule trans :premises (@p214 @p211))
% 0.37/0.61  (step @p216 :rule refl :args (@t120))
% 0.37/0.61  (step @p217 :rule cong :premises (@p216 @p215) :args (@t126))
% 0.37/0.61  (step @p218 :rule trans :premises (@p217 @p210))
% 0.37/0.61  (step @p219 :rule cong :premises (@p70 @p218) :args ((=> @t54 @t126)))
% 0.37/0.61  (assume-push @p306 @t54)
% 0.37/0.61  (step @p221 :rule instantiate :premises (@p32) :args ((@list tptp.n0 tptp.n0)))
% 0.37/0.61  (step-pop @p307 :rule scope :premises (@p221))
% 0.37/0.61  (step @p222 :rule process_scope :premises (@p307) :args (@t126))
% 0.37/0.61  (step @p224 :rule eq_resolve :premises (@p222 @p219))
% 0.37/0.61  (step @p225 :rule implies_elim :premises (@p224))
% 0.37/0.61  (step @p226 :rule chain_m_resolution :premises (@p225 @p32) :args (@t120 @t68 @t73))
% 0.37/0.61  (step @p227 :rule cnf_equiv_pos1 :args (@t122))
% 0.37/0.61  (step @p228 :rule reordering :premises (@p227) :args ((or (not @t120) @t119 (not @t122))))
% 0.37/0.61  (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p209) :args (@t119 @t74 (@list @t120 @t122)))
% 0.37/0.61  (step @p230 :rule cnf_equiv_pos1 :args (@t131))
% 0.37/0.61  (step @p231 :rule reordering :premises (@p230) :args ((or @t132 @t130 (not @t131))))
% 0.37/0.61  (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p199) :args (@t130 @t74 (@list @t119 @t131)))
% 0.37/0.61  (step @p233 :rule cnf_and_pos :args (@t130 1))
% 0.37/0.61  (step @p234 :rule reordering :premises (@p233) :args ((or @t127 (not @t130))))
% 0.37/0.61  (step @p235 :rule chain_m_resolution :premises (@p234 @p232) :args (@t127 @t68 (@list @t130)))
% 0.37/0.61  (step @p236 :rule cnf_or_pos :args (@t86))
% 0.37/0.61  (step @p237 :rule reordering :premises (@p236) :args ((or @t46 @t75 @t80 @t78 (not @t86))))
% 0.37/0.61  (step @p238 :rule chain_m_resolution :premises (@p237 @p17 @p235 @p190 @p187) :args (@t75 (@list true true true false) (@list @t46 @t80 @t78 @t86)))
% 0.37/0.61  (step @p239 :rule refl :args (tptp.n1))
% 0.37/0.61  (step @p240 :rule cong :premises (@p239 @p238) :args (@t69))
% 0.37/0.61  (step @p241 :rule eq-symm :args (@t69 @t133))
% 0.37/0.61  (step @p242 :rule cong :premises (@p201 @p241) :args ((=> @t56 @t134)))
% 0.37/0.61  (assume-push @p308 @t56)
% 0.37/0.61  (step @p244 :rule instantiate :premises (@p34) :args (@t66))
% 0.37/0.61  (step-pop @p309 :rule scope :premises (@p244))
% 0.37/0.61  (step @p245 :rule process_scope :premises (@p309) :args (@t134))
% 0.37/0.61  (step @p247 :rule eq_resolve :premises (@p245 @p242))
% 0.37/0.61  (step @p248 :rule implies_elim :premises (@p247))
% 0.37/0.61  (step @p249 :rule chain_m_resolution :premises (@p248 @p34) :args (@t135 @t68 @t123))
% 0.37/0.61  (step @p250 :rule refl :args (@t128))
% 0.37/0.61  (step @p251 :rule nary_cong :premises (@p250 @p94) :args (@t136))
% 0.37/0.61  (step @p252 :rule refl :args (@t133))
% 0.37/0.61  (step @p253 :rule cong :premises (@p252 @p251) :args (@t137))
% 0.37/0.61  (step @p254 :rule cong :premises (@p70 @p253) :args ((=> @t54 @t137)))
% 0.37/0.61  (assume-push @p310 @t54)
% 0.37/0.61  (step @p256 :rule instantiate :premises (@p32) :args (@t138))
% 0.37/0.61  (step-pop @p311 :rule scope :premises (@p256))
% 0.37/0.61  (step @p257 :rule process_scope :premises (@p311) :args (@t137))
% 0.37/0.61  (step @p259 :rule eq_resolve :premises (@p257 @p254))
% 0.37/0.61  (step @p260 :rule implies_elim :premises (@p259))
% 0.37/0.61  (step @p261 :rule chain_m_resolution :premises (@p260 @p32) :args (@t140 @t68 @t73))
% 0.37/0.61  (step @p262 :rule cong :premises (@p94) :args (@t141))
% 0.37/0.61  (step @p263 :rule refl :args (@t132))
% 0.37/0.61  (step @p264 :rule nary_cong :premises (@p263 @p262) :args (@t142))
% 0.37/0.61  (step @p265 :rule cong :premises (@p250 @p264) :args (@t143))
% 0.37/0.61  (step @p266 :rule refl :args (@t144))
% 0.37/0.61  (step @p267 :rule cong :premises (@p266 @p265) :args ((=> @t144 @t143)))
% 0.37/0.61  (assume-push @p312 @t144)
% 0.37/0.61  (step @p269 :rule instantiate :premises (@p198) :args (@t138))
% 0.37/0.61  (step-pop @p313 :rule scope :premises (@p269))
% 0.37/0.61  (step @p270 :rule process_scope :premises (@p313) :args (@t143))
% 0.37/0.61  (step @p272 :rule eq_resolve :premises (@p270 @p267))
% 0.37/0.61  (step @p273 :rule implies_elim :premises (@p272))
% 0.37/0.61  (step @p274 :rule chain_m_resolution :premises (@p273 @p198) :args (@t146 @t68 (@list @t144)))
% 0.37/0.61  (step @p275 :rule cnf_and_pos :args (@t145 0))
% 0.37/0.61  (step @p276 :rule reordering :premises (@p275) :args ((or @t132 @t147)))
% 0.37/0.61  (step @p277 :rule chain_m_resolution :premises (@p276 @p229) :args (@t147 @t68 (@list @t119)))
% 0.37/0.61  (step @p278 :rule cnf_equiv_pos1 :args (@t146))
% 0.37/0.61  (step @p279 :rule reordering :premises (@p278) :args ((or @t129 @t145 (not @t146))))
% 0.37/0.61  (step @p280 :rule chain_m_resolution :premises (@p279 @p277 @p274) :args (@t129 @t116 (@list @t145 @t146)))
% 0.37/0.61  (step @p281 :rule cnf_or_pos :args (@t139))
% 0.37/0.61  (step @p282 :rule reordering :premises (@p281) :args ((or @t80 @t128 @t148)))
% 0.37/0.61  (step @p283 :rule chain_m_resolution :premises (@p282 @p235 @p280) :args (@t148 (@list true true) (@list @t80 @t128)))
% 0.37/0.61  (step @p284 :rule cnf_equiv_pos1 :args (@t140))
% 0.37/0.61  (step @p285 :rule reordering :premises (@p284) :args ((or @t139 @t149 (not @t140))))
% 0.37/0.61  (step @p286 :rule chain_m_resolution :premises (@p285 @p283 @p261) :args (@t149 @t116 (@list @t139 @t140)))
% 0.37/0.61  (step @p287 :rule cnf_equiv_pos2 :args (@t135))
% 0.37/0.61  (step @p288 :rule reordering :premises (@p287) :args ((or @t133 @t150 (not @t135))))
% 0.37/0.61  (step @p289 :rule chain_m_resolution :premises (@p288 @p286 @p249) :args (@t150 @t116 (@list @t133 @t135)))
% 0.37/0.61  (step @p290 :rule false_intro :premises (@p289))
% 0.37/0.61  (step @p291 :rule symm :premises (@p290))
% 0.37/0.61  (step @p292 :rule trans :premises (@p291 @p240 @p82))
% 0.37/0.61  (step @p293 false :rule eq_resolve :premises (@p292 @p50))
% 0.37/0.61  )
% 0.37/0.61  % SZS output end Proof
% 0.37/0.61  % cvc5 exiting
%------------------------------------------------------------------------------