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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : CSR309_1 : TPTP v9.2.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 08:13:19 AM UTC 2026

% Result   : Theorem 0.61s 0.82s
% Output   : Proof 0.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR309_1 : TPTP v9.2.1. Released v9.1.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n009.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 : Mon Jun  1 22:24:29 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.31/0.50  %----Proving TF0_ARI
% 0.61/0.82  --- Run --finite-model-find --decision=internal at 45...
% 0.61/0.82  % SZS status Theorem
% 0.61/0.82  % SZS output start Proof
% 0.61/0.82  (
% 0.61/0.82  (declare-sort tptp.event 0)
% 0.61/0.82  (declare-sort tptp.fluent 0)
% 0.61/0.82  (declare-sort tptp.time 0)
% 0.61/0.82  (declare-const tptp.spilling tptp.fluent)
% 0.61/0.82  (declare-const tptp.filling tptp.fluent)
% 0.61/0.82  (declare-const tptp.waterLevel (-> Int tptp.fluent))
% 0.61/0.82  (declare-const tptp.overflow tptp.event)
% 0.61/0.82  (declare-const tptp.at_time (-> Int tptp.time))
% 0.61/0.82  (declare-const tptp.terminates (-> tptp.event tptp.fluent tptp.time Bool))
% 0.61/0.82  (declare-const tptp.happens (-> tptp.event tptp.time Bool))
% 0.61/0.82  (declare-const tptp.stoppedIn (-> tptp.time tptp.fluent tptp.time Bool))
% 0.61/0.82  (declare-const tptp.initiates (-> tptp.event tptp.fluent tptp.time Bool))
% 0.61/0.82  (declare-const tptp.startedIn (-> tptp.time tptp.fluent tptp.time Bool))
% 0.61/0.82  (declare-const tptp.releasedAt (-> tptp.fluent tptp.time Bool))
% 0.61/0.82  (declare-const tptp.holdsAt (-> tptp.fluent tptp.time Bool))
% 0.61/0.82  (declare-const tptp.trajectory (-> tptp.fluent tptp.time tptp.fluent Int Bool))
% 0.61/0.82  (declare-const tptp.tapOff tptp.event)
% 0.61/0.82  (declare-const tptp.antitrajectory (-> tptp.fluent tptp.time tptp.fluent Int Bool))
% 0.61/0.82  (declare-const tptp.releases (-> tptp.event tptp.fluent tptp.time Bool))
% 0.61/0.82  (declare-const tptp.tapOn tptp.event)
% 0.61/0.82  (define @t1 () (@var "Time" Int))
% 0.61/0.82  (define @t2 () (tptp.at_time @t1))
% 0.61/0.82  (define @t3 () (@var "Fluent" tptp.fluent))
% 0.61/0.82  (define @t4 () (@var "Event" tptp.event))
% 0.61/0.82  (define @t5 () (tptp.terminates @t4 @t3 @t2))
% 0.61/0.82  (define @t6 () (@var "Time2" Int))
% 0.61/0.82  (define @t7 () (< @t1 @t6))
% 0.61/0.82  (define @t8 () (@var "Time1" Int))
% 0.61/0.82  (define @t9 () (< @t8 @t1))
% 0.61/0.82  (define @t10 () (tptp.happens @t4 @t2))
% 0.61/0.82  (define @t11 () (@list @t4 @t1))
% 0.61/0.82  (define @t12 () (tptp.at_time @t6))
% 0.61/0.82  (define @t13 () (tptp.at_time @t8))
% 0.61/0.82  (define @t14 () (@list @t8 @t3 @t6))
% 0.61/0.82  (define @t15 () (tptp.initiates @t4 @t3 @t2))
% 0.61/0.82  (define @t16 () (@var "Offset" Int))
% 0.61/0.82  (define @t17 () (tptp.at_time (+ @t1 @t16)))
% 0.61/0.82  (define @t18 () (@var "Fluent2" tptp.fluent))
% 0.61/0.82  (define @t19 () (tptp.at_time (+ @t8 @t6)))
% 0.61/0.82  (define @t20 () (@var "Fluent1" tptp.fluent))
% 0.61/0.82  (define @t21 () (+ @t1 1))
% 0.61/0.82  (define @t22 () (tptp.at_time @t21))
% 0.61/0.82  (define @t23 () (tptp.holdsAt @t3 @t22))
% 0.61/0.82  (define @t24 () (and @t10 @t5))
% 0.61/0.82  (define @t25 () (@list @t4))
% 0.61/0.82  (define @t26 () (exists @t25 @t24))
% 0.61/0.82  (define @t27 () (not @t26))
% 0.61/0.82  (define @t28 () (tptp.releasedAt @t3 @t22))
% 0.61/0.82  (define @t29 () (not @t28))
% 0.61/0.82  (define @t30 () (tptp.holdsAt @t3 @t2))
% 0.61/0.82  (define @t31 () (and @t30 @t29 @t27))
% 0.61/0.82  (define @t32 () (=> @t31 @t23))
% 0.61/0.82  (define @t33 () (@list @t3 @t1))
% 0.61/0.82  (define @t34 () (forall @t33 @t32))
% 0.61/0.82  (define @t35 () (not @t23))
% 0.61/0.82  (define @t36 () (and @t10 @t15))
% 0.61/0.82  (define @t37 () (not @t30))
% 0.61/0.82  (define @t38 () (and @t10 (or @t15 @t5)))
% 0.61/0.82  (define @t39 () (tptp.releasedAt @t3 @t2))
% 0.61/0.82  (define @t40 () (tptp.releases @t4 @t3 @t2))
% 0.61/0.82  (define @t41 () (and @t10 @t40))
% 0.61/0.82  (define @t42 () (@list @t4 @t1 @t3))
% 0.61/0.82  (define @t43 () (@var "X" Int))
% 0.61/0.82  (define @t44 () (tptp.waterLevel @t43))
% 0.61/0.82  (define @t45 () (@list @t43))
% 0.61/0.82  (define @t46 () (@var "Y" Int))
% 0.61/0.82  (define @t47 () (@var "Height" Int))
% 0.61/0.82  (define @t48 () (tptp.waterLevel @t47))
% 0.61/0.82  (define @t49 () (= @t3 @t48))
% 0.61/0.82  (define @t50 () (= @t4 tptp.overflow))
% 0.61/0.82  (define @t51 () (tptp.holdsAt @t48 @t2))
% 0.61/0.82  (define @t52 () (@list @t47))
% 0.61/0.82  (define @t53 () (= @t4 tptp.tapOff))
% 0.61/0.82  (define @t54 () (= @t3 tptp.filling))
% 0.61/0.82  (define @t55 () (= @t4 tptp.tapOn))
% 0.61/0.82  (define @t56 () (@list @t4 @t3 @t1))
% 0.61/0.82  (define @t57 () (forall @t56 (= @t5 (or (and @t53 @t54) (and @t50 @t54)))))
% 0.61/0.82  (define @t58 () (@var "Height2" Int))
% 0.61/0.82  (define @t59 () (tptp.waterLevel @t58))
% 0.61/0.82  (define @t60 () (@var "Height1" Int))
% 0.61/0.82  (define @t61 () (tptp.holdsAt (tptp.waterLevel @t60) @t2))
% 0.61/0.82  (define @t62 () (tptp.waterLevel 3))
% 0.61/0.82  (define @t63 () (forall @t11 (= @t10 (or (and @t55 (= @t1 0)) (and (tptp.holdsAt @t62 @t2) (tptp.holdsAt tptp.filling @t2) @t50)))))
% 0.61/0.82  (define @t64 () (tptp.at_time 0))
% 0.61/0.82  (define @t65 () (tptp.at_time 4))
% 0.61/0.82  (define @t66 () (@var "F" tptp.fluent))
% 0.61/0.82  (define @t67 () (tptp.holdsAt @t66 @t65))
% 0.61/0.82  (define @t68 () (tptp.at_time 3))
% 0.61/0.82  (define @t69 () (tptp.holdsAt @t62 @t68))
% 0.61/0.82  (define @t70 () (tptp.releasedAt @t66 @t65))
% 0.61/0.82  (define @t71 () (or @t70 @t69 @t67))
% 0.61/0.82  (define @t72 () (tptp.holdsAt @t66 @t68))
% 0.61/0.82  (define @t73 () (@list @t66))
% 0.61/0.82  (define @t74 () (forall @t73 (=> @t72 @t71)))
% 0.61/0.82  (define @t75 () (not @t74))
% 0.61/0.82  (define @t76 () (not @t72))
% 0.61/0.82  (define @t77 () (or @t76 @t70 @t67))
% 0.61/0.82  (define @t78 () (forall @t73 @t77))
% 0.61/0.82  (define @t79 () (or @t69 @t77))
% 0.61/0.82  (define @t80 () (or @t76 @t70 @t69 @t67))
% 0.61/0.82  (define @t81 () (@quantifiers_skolemize @t78 0))
% 0.61/0.82  (define @t82 () (tptp.holdsAt @t81 @t68))
% 0.61/0.82  (define @t83 () (tptp.holdsAt @t81 @t65))
% 0.61/0.82  (define @t84 () (tptp.releasedAt @t81 @t65))
% 0.61/0.82  (define @t85 () (not @t82))
% 0.61/0.82  (define @t86 () (or @t85 @t84 @t83))
% 0.61/0.82  (define @t87 () (@list true))
% 0.61/0.82  (define @t88 () (@list @t86))
% 0.61/0.82  (define @t89 () (tptp.holdsAt tptp.filling @t68))
% 0.61/0.82  (define @t90 () (= tptp.filling @t81))
% 0.61/0.82  (define @t91 () (not @t90))
% 0.61/0.82  (define @t92 () (not @t89))
% 0.61/0.82  (define @t93 () (and @t92 @t90 @t82))
% 0.61/0.82  (define @t94 () (not @t83))
% 0.61/0.82  (define @t95 () (tptp.holdsAt tptp.filling @t65))
% 0.61/0.82  (define @t96 () (not @t95))
% 0.61/0.82  (define @t97 () (and @t94 @t90))
% 0.61/0.82  (define @t98 () (not @t84))
% 0.61/0.82  (define @t99 () (tptp.releasedAt tptp.filling @t65))
% 0.61/0.82  (define @t100 () (not @t99))
% 0.61/0.82  (define @t101 () (and @t98 @t90))
% 0.61/0.82  (define @t102 () (not (tptp.happens @t4 @t68)))
% 0.61/0.82  (define @t103 () (forall @t25 (or @t102 (not (tptp.terminates @t4 tptp.filling @t68)))))
% 0.61/0.82  (define @t104 () (@quantifiers_skolemize @t103 0))
% 0.61/0.82  (define @t105 () (and @t69 @t89 (= tptp.overflow @t104)))
% 0.61/0.82  (define @t106 () (and @t69 @t89 (= @t104 tptp.overflow)))
% 0.61/0.82  (define @t107 () (= 3 0))
% 0.61/0.82  (define @t108 () (and (= @t104 tptp.tapOn) @t107))
% 0.61/0.82  (define @t109 () (or @t108 @t106))
% 0.61/0.82  (define @t110 () (tptp.happens @t104 @t68))
% 0.61/0.82  (define @t111 () (= @t110 @t109))
% 0.61/0.82  (define @t112 () (= @t110 @t105))
% 0.61/0.82  (define @t113 () (@list false))
% 0.61/0.82  (define @t114 () (not @t105))
% 0.61/0.82  (define @t115 () (not @t110))
% 0.61/0.82  (define @t116 () (@list true false))
% 0.61/0.82  (define @t117 () (or @t115 (not (tptp.terminates @t104 tptp.filling @t68))))
% 0.61/0.82  (define @t118 () (not @t117))
% 0.61/0.82  (define @t119 () (not @t103))
% 0.61/0.82  (define @t120 () (+ 1 @t1))
% 0.61/0.82  (define @t121 () (tptp.at_time @t120))
% 0.61/0.82  (define @t122 () (tptp.holdsAt @t3 @t121))
% 0.61/0.82  (define @t123 () (forall @t25 (or (not @t10) (not @t5))))
% 0.61/0.82  (define @t124 () (not @t123))
% 0.61/0.82  (define @t125 () (tptp.releasedAt @t3 @t121))
% 0.61/0.82  (define @t126 () (or @t37 @t125 @t124 @t122))
% 0.61/0.82  (define @t127 () (not @t125))
% 0.61/0.82  (define @t128 () (not @t127))
% 0.61/0.82  (define @t129 () (or @t37 @t128 @t124))
% 0.61/0.82  (define @t130 () (and @t30 @t127 @t123))
% 0.61/0.82  (define @t131 () (forall @t25 (not @t24)))
% 0.61/0.82  (define @t132 () (not @t131))
% 0.61/0.82  (define @t133 () (+ 1 3))
% 0.61/0.82  (define @t134 () (tptp.at_time @t133))
% 0.61/0.82  (define @t135 () (tptp.holdsAt tptp.filling @t134))
% 0.61/0.82  (define @t136 () (tptp.releasedAt tptp.filling @t134))
% 0.61/0.82  (define @t137 () (or @t92 @t136 @t119 @t135))
% 0.61/0.82  (define @t138 () (forall @t33 @t126))
% 0.61/0.82  (define @t139 () (or @t92 @t99 @t119 @t95))
% 0.61/0.82  (define @t140 () (@list @t138))
% 0.61/0.82  (define @t141 () (forall @t25 (or @t102 (not (tptp.terminates @t4 @t81 @t68)))))
% 0.61/0.82  (define @t142 () (@quantifiers_skolemize @t141 0))
% 0.61/0.82  (define @t143 () (and (= tptp.overflow @t142) @t90))
% 0.61/0.82  (define @t144 () (not @t143))
% 0.61/0.82  (define @t145 () (@list @t90))
% 0.61/0.82  (define @t146 () (and (= tptp.tapOff @t142) @t90))
% 0.61/0.82  (define @t147 () (not @t146))
% 0.61/0.82  (define @t148 () (or @t146 @t143))
% 0.61/0.82  (define @t149 () (not @t148))
% 0.61/0.82  (define @t150 () (tptp.holdsAt @t81 @t134))
% 0.61/0.82  (define @t151 () (not @t141))
% 0.61/0.82  (define @t152 () (tptp.releasedAt @t81 @t134))
% 0.61/0.82  (define @t153 () (or @t85 @t152 @t151 @t150))
% 0.61/0.82  (define @t154 () (or @t85 @t84 @t151 @t83))
% 0.61/0.82  (define @t155 () (tptp.terminates @t142 @t81 @t68))
% 0.61/0.82  (define @t156 () (not @t155))
% 0.61/0.82  (define @t157 () (or (not (tptp.happens @t142 @t68)) @t156))
% 0.61/0.82  (define @t158 () (= @t155 @t148))
% 0.61/0.82  (define @t159 () (not @t158))
% 0.61/0.82  (define @t160 () (= @t81 tptp.filling))
% 0.61/0.82  (define @t161 () (and (= @t142 tptp.overflow) @t160))
% 0.61/0.82  (define @t162 () (and (= @t142 tptp.tapOff) @t160))
% 0.61/0.82  (define @t163 () (or @t162 @t161))
% 0.61/0.82  (define @t164 () (= @t155 @t163))
% 0.61/0.82  (assume @p1 (forall @t14 (= (tptp.stoppedIn @t13 @t3 @t12) (exists @t11 (and @t10 @t9 @t7 @t5)))))
% 0.61/0.82  (assume @p2 (forall @t14 (= (tptp.startedIn @t13 @t3 @t12) (exists @t11 (and @t10 @t9 @t7 @t15)))))
% 0.61/0.82  (assume @p3 (forall (@list @t4 @t1 @t3 @t18 @t16) (=> (and @t10 @t15 (< 0 @t16) (tptp.trajectory @t3 @t2 @t18 @t16) (not (tptp.stoppedIn @t2 @t3 @t17))) (tptp.holdsAt @t18 @t17))))
% 0.61/0.82  (assume @p4 (forall (@list @t4 @t8 @t20 @t6 @t18) (=> (and (tptp.happens @t4 @t13) (tptp.terminates @t4 @t20 @t13) (< 0 @t6) (tptp.antitrajectory @t20 @t13 @t18 @t6) (not (tptp.startedIn @t13 @t20 @t19))) (tptp.holdsAt @t18 @t19))))
% 0.61/0.82  (assume @p5 @t34)
% 0.61/0.82  (assume @p6 (forall @t33 (=> (and @t37 @t29 (not (exists @t25 @t36))) @t35)))
% 0.61/0.82  (assume @p7 (forall @t33 (=> (and @t39 (not (exists @t25 @t38))) @t28)))
% 0.61/0.82  (assume @p8 (forall @t33 (=> (and (not @t39) (not (exists @t25 @t41))) @t29)))
% 0.61/0.82  (assume @p9 (forall @t42 (=> @t36 @t23)))
% 0.61/0.82  (assume @p10 (forall @t42 (=> @t24 @t35)))
% 0.61/0.82  (assume @p11 (forall @t42 (=> @t41 @t28)))
% 0.61/0.82  (assume @p12 (forall @t42 (=> @t38 @t29)))
% 0.61/0.82  (assume @p13 (not (= tptp.tapOn tptp.tapOff)))
% 0.61/0.82  (assume @p14 (not (= tptp.tapOn tptp.overflow)))
% 0.61/0.82  (assume @p15 (not (= tptp.tapOff tptp.overflow)))
% 0.61/0.82  (assume @p16 (forall @t45 (not (= tptp.filling @t44))))
% 0.61/0.82  (assume @p17 (forall @t45 (not (= tptp.spilling @t44))))
% 0.61/0.82  (assume @p18 (not (= tptp.filling tptp.spilling)))
% 0.61/0.82  (assume @p19 (forall (@list @t43 @t46) (= (= @t44 (tptp.waterLevel @t46)) (= @t43 @t46))))
% 0.61/0.82  (assume @p20 (forall @t56 (= @t15 (or (and @t55 @t54) (and @t50 (= @t3 tptp.spilling)) (exists @t52 (and @t51 @t53 @t49)) (exists @t52 (and @t51 @t50 @t49))))))
% 0.61/0.82  (assume @p21 @t57)
% 0.61/0.82  (assume @p22 (forall @t56 (= @t40 (exists @t52 (and @t55 @t49)))))
% 0.61/0.82  (assume @p23 (forall (@list @t60 @t1 @t58 @t16) (=> (and @t61 (= @t58 (+ @t60 @t16))) (tptp.trajectory tptp.filling @t2 @t59 @t16))))
% 0.61/0.82  (assume @p24 (forall (@list @t1 @t60 @t58) (=> (and @t61 (tptp.holdsAt @t59 @t2)) (= @t60 @t58))))
% 0.61/0.82  (assume @p25 @t63)
% 0.61/0.82  (assume @p26 (tptp.holdsAt (tptp.waterLevel 0) @t64))
% 0.61/0.82  (assume @p27 (not (tptp.holdsAt tptp.filling @t64)))
% 0.61/0.82  (assume @p28 (not (tptp.holdsAt tptp.spilling @t64)))
% 0.61/0.82  (assume @p29 (forall @t52 (not (tptp.releasedAt @t48 @t64))))
% 0.61/0.82  (assume @p30 (not (tptp.releasedAt tptp.filling @t64)))
% 0.61/0.82  (assume @p31 (not (tptp.releasedAt tptp.spilling @t64)))
% 0.61/0.82  (assume @p32 @t75)
% 0.61/0.82  (assume @p33 true)
% 0.61/0.82  (step @p34 :rule quant-miniscope-or :args ((= (forall @t73 @t79) (or @t69 @t78))))
% 0.61/0.82  (step @p35 :rule aci_norm :args ((= @t80 @t79)))
% 0.61/0.82  (step @p36 :rule cong :premises (@p35) :args ((forall @t73 @t80)))
% 0.61/0.82  (step @p37 :rule trans :premises (@p36 @p34))
% 0.61/0.82  (step @p38 :rule aci_norm :args ((= (or @t76 @t71) @t80)))
% 0.61/0.82  (step @p39 :rule bool-impl-elim :args (@t72 @t71))
% 0.61/0.82  (step @p40 :rule trans :premises (@p39 @p38))
% 0.61/0.82  (step @p41 :rule cong :premises (@p40) :args (@t74))
% 0.61/0.82  (step @p42 :rule trans :premises (@p41 @p37))
% 0.61/0.82  (step @p43 :rule cong :premises (@p42) :args (@t75))
% 0.61/0.82  (step @p44 :rule eq_resolve :premises (@p32 @p43))
% 0.61/0.82  (step @p45 :rule not_or_elim :premises (@p44) :args (1))
% 0.61/0.82  (step @p46 :rule skolemize :premises (@p45))
% 0.61/0.82  (step @p47 :rule bool-double-not-elim :args (@t82))
% 0.61/0.82  (step @p48 :rule refl :args (@t86))
% 0.61/0.82  (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t86 (not @t85))))
% 0.61/0.82  (step @p50 :rule cnf_or_neg :args (@t86 0))
% 0.61/0.82  (step @p51 :rule eq_resolve :premises (@p50 @p49))
% 0.61/0.82  (step @p52 :rule reordering :premises (@p51) :args ((or @t82 @t86)))
% 0.61/0.82  (step @p53 :rule chain_m_resolution :premises (@p52 @p46) :args (@t82 @t87 @t88))
% 0.61/0.82  (step @p54 :rule bool-double-not-elim :args (@t89))
% 0.61/0.82  (step @p55 :rule refl :args (@t91))
% 0.61/0.82  (step @p56 :rule refl :args (@t85))
% 0.61/0.82  (step @p57 :rule nary_cong :premises (@p56 @p55 @p54) :args ((or @t85 @t91 (not @t92))))
% 0.61/0.82  (assume-push @p295 @t92)
% 0.61/0.82  (assume-push @p296 @t90)
% 0.61/0.82  (assume-push @p297 @t82)
% 0.61/0.82  (step @p61 :rule evaluate :args ((= true false)))
% 0.61/0.82  (step @p62 :rule false_intro :premises (@p295))
% 0.61/0.82  (step @p63 :rule refl :args (@t68))
% 0.61/0.82  (step @p64 :rule symm :premises (@p296))
% 0.61/0.82  (step @p65 :rule cong :premises (@p64 @p63) :args (@t82))
% 0.61/0.82  (step @p66 :rule true_intro :premises (@p53))
% 0.61/0.82  (step @p67 :rule symm :premises (@p66))
% 0.61/0.82  (step @p68 :rule trans :premises (@p67 @p65 @p62))
% 0.61/0.82  (step @p69 false :rule eq_resolve :premises (@p68 @p61))
% 0.61/0.82  (step-pop @p298 :rule scope :premises (@p69))
% 0.61/0.82  (step-pop @p299 :rule scope :premises (@p298))
% 0.61/0.82  (step-pop @p300 :rule scope :premises (@p299))
% 0.61/0.82  (step @p70 :rule process_scope :premises (@p300) :args (false))
% 0.61/0.82  (assume-push @p301 @t82)
% 0.61/0.82  (assume-push @p302 @t90)
% 0.61/0.82  (assume-push @p303 @t92)
% 0.61/0.82  (step @p77 :rule and_intro :premises (@p303 @p302 @p53))
% 0.61/0.82  (step-pop @p304 :rule scope :premises (@p77))
% 0.61/0.82  (step-pop @p305 :rule scope :premises (@p304))
% 0.61/0.82  (step-pop @p306 :rule scope :premises (@p305))
% 0.61/0.82  (step @p78 :rule process_scope :premises (@p306) :args (@t93))
% 0.61/0.82  (step @p82 :rule implies_elim :premises (@p78))
% 0.61/0.82  (step @p83 :rule resolution :premises (@p82 @p70) :args (true @t93))
% 0.61/0.82  (step @p84 :rule not_and :premises (@p83))
% 0.61/0.82  (step @p85 :rule eq_resolve :premises (@p84 @p57))
% 0.61/0.82  (step @p86 :rule cnf_or_neg :args (@t86 2))
% 0.61/0.82  (step @p87 :rule chain_m_resolution :premises (@p86 @p46) :args (@t94 @t87 @t88))
% 0.61/0.82  (step @p88 :rule refl :args (@t96))
% 0.61/0.82  (step @p89 :rule bool-double-not-elim :args (@t83))
% 0.61/0.82  (step @p90 :rule nary_cong :premises (@p89 @p55 @p88) :args ((or (not @t94) @t91 @t96)))
% 0.61/0.82  (assume-push @p307 @t94)
% 0.61/0.82  (assume-push @p308 @t90)
% 0.61/0.82  (assume-push @p309 @t94)
% 0.61/0.82  (assume-push @p310 @t90)
% 0.61/0.82  (step @p95 :rule false_intro :premises (@p87))
% 0.61/0.82  (step @p96 :rule refl :args (@t65))
% 0.61/0.82  (step @p97 :rule cong :premises (@p308 @p96) :args (@t95))
% 0.61/0.82  (step @p98 :rule trans :premises (@p97 @p95))
% 0.61/0.82  (step @p99 :rule false_elim :premises (@p98))
% 0.61/0.82  (step-pop @p311 :rule scope :premises (@p99))
% 0.61/0.82  (step-pop @p312 :rule scope :premises (@p311))
% 0.61/0.82  (step @p100 :rule process_scope :premises (@p312) :args (@t96))
% 0.61/0.82  (step @p103 :rule and_intro :premises (@p87 @p308))
% 0.61/0.82  (step @p104 :rule modus_ponens :premises (@p103 @p100))
% 0.61/0.82  (step-pop @p313 :rule scope :premises (@p104))
% 0.61/0.82  (step-pop @p314 :rule scope :premises (@p313))
% 0.61/0.82  (step @p105 :rule process_scope :premises (@p314) :args (@t96))
% 0.61/0.82  (step @p108 :rule implies_elim :premises (@p105))
% 0.61/0.82  (step @p109 :rule cnf_and_neg :args (@t97))
% 0.61/0.82  (step @p110 :rule resolution :premises (@p109 @p108) :args (true @t97))
% 0.61/0.82  (step @p111 :rule eq_resolve :premises (@p110 @p90))
% 0.61/0.82  (step @p112 :rule cnf_or_neg :args (@t86 1))
% 0.61/0.82  (step @p113 :rule chain_m_resolution :premises (@p112 @p46) :args (@t98 @t87 @t88))
% 0.61/0.82  (step @p114 :rule refl :args (@t100))
% 0.61/0.82  (step @p115 :rule bool-double-not-elim :args (@t84))
% 0.61/0.82  (step @p116 :rule nary_cong :premises (@p115 @p55 @p114) :args ((or (not @t98) @t91 @t100)))
% 0.61/0.82  (assume-push @p315 @t98)
% 0.61/0.82  (assume-push @p316 @t90)
% 0.61/0.82  (assume-push @p317 @t98)
% 0.61/0.82  (assume-push @p318 @t90)
% 0.61/0.82  (step @p121 :rule false_intro :premises (@p113))
% 0.61/0.82  (step @p96 :rule refl :args (@t65))
% 0.61/0.82  (step @p122 :rule cong :premises (@p316 @p96) :args (@t99))
% 0.61/0.82  (step @p123 :rule trans :premises (@p122 @p121))
% 0.61/0.82  (step @p124 :rule false_elim :premises (@p123))
% 0.61/0.82  (step-pop @p319 :rule scope :premises (@p124))
% 0.61/0.82  (step-pop @p320 :rule scope :premises (@p319))
% 0.61/0.82  (step @p125 :rule process_scope :premises (@p320) :args (@t100))
% 0.61/0.82  (step @p128 :rule and_intro :premises (@p113 @p316))
% 0.61/0.82  (step @p129 :rule modus_ponens :premises (@p128 @p125))
% 0.61/0.82  (step-pop @p321 :rule scope :premises (@p129))
% 0.61/0.82  (step-pop @p322 :rule scope :premises (@p321))
% 0.61/0.82  (step @p130 :rule process_scope :premises (@p322) :args (@t100))
% 0.61/0.82  (step @p133 :rule implies_elim :premises (@p130))
% 0.61/0.82  (step @p134 :rule cnf_and_neg :args (@t101))
% 0.61/0.82  (step @p135 :rule resolution :premises (@p134 @p133) :args (true @t101))
% 0.61/0.82  (step @p136 :rule eq_resolve :premises (@p135 @p116))
% 0.61/0.82  (step @p137 :rule aci_norm :args ((= (or false @t105) @t105)))
% 0.61/0.82  (step @p138 :rule eq-symm :args (@t104 tptp.overflow))
% 0.61/0.82  (step @p139 :rule refl :args (@t89))
% 0.61/0.82  (step @p140 :rule refl :args (@t69))
% 0.61/0.82  (step @p141 :rule nary_cong :premises (@p140 @p139 @p138) :args (@t106))
% 0.61/0.82  (step @p142 :rule absorb :args ((= (and (= tptp.tapOn @t104) false) false)))
% 0.61/0.82  (step @p143 :rule evaluate :args (@t107))
% 0.61/0.82  (step @p144 :rule eq-symm :args (@t104 tptp.tapOn))
% 0.61/0.82  (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t108))
% 0.61/0.82  (step @p146 :rule trans :premises (@p145 @p142))
% 0.61/0.82  (step @p147 :rule nary_cong :premises (@p146 @p141) :args (@t109))
% 0.61/0.82  (step @p148 :rule trans :premises (@p147 @p137))
% 0.61/0.82  (step @p149 :rule refl :args (@t110))
% 0.61/0.82  (step @p150 :rule cong :premises (@p149 @p148) :args (@t111))
% 0.61/0.82  (step @p151 :rule refl :args (@t63))
% 0.61/0.82  (step @p152 :rule cong :premises (@p151 @p150) :args ((=> @t63 @t111)))
% 0.61/0.82  (assume-push @p323 @t63)
% 0.61/0.82  (step @p154 :rule instantiate :premises (@p25) :args ((@list @t104 3)))
% 0.61/0.82  (step-pop @p324 :rule scope :premises (@p154))
% 0.61/0.82  (step @p155 :rule process_scope :premises (@p324) :args (@t111))
% 0.61/0.82  (step @p157 :rule eq_resolve :premises (@p155 @p152))
% 0.61/0.82  (step @p158 :rule implies_elim :premises (@p157))
% 0.61/0.82  (step @p159 :rule chain_m_resolution :premises (@p158 @p25) :args (@t112 @t113 (@list @t63)))
% 0.61/0.82  (step @p160 :rule not_or_elim :premises (@p44) :args (0))
% 0.61/0.82  (step @p161 :rule cnf_and_pos :args (@t105 0))
% 0.61/0.82  (step @p162 :rule reordering :premises (@p161) :args ((or @t69 @t114)))
% 0.61/0.82  (step @p163 :rule chain_m_resolution :premises (@p162 @p160) :args (@t114 @t87 (@list @t69)))
% 0.61/0.82  (step @p164 :rule cnf_equiv_pos1 :args (@t112))
% 0.61/0.82  (step @p165 :rule reordering :premises (@p164) :args ((or @t115 @t105 (not @t112))))
% 0.61/0.82  (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p159) :args (@t115 @t116 (@list @t105 @t112)))
% 0.61/0.82  (step @p167 :rule bool-double-not-elim :args (@t110))
% 0.61/0.82  (step @p168 :rule refl :args (@t117))
% 0.61/0.82  (step @p169 :rule nary_cong :premises (@p168 @p167) :args ((or @t117 (not @t115))))
% 0.61/0.82  (step @p170 :rule cnf_or_neg :args (@t117 0))
% 0.61/0.82  (step @p171 :rule eq_resolve :premises (@p170 @p169))
% 0.61/0.82  (step @p172 :rule reordering :premises (@p171) :args ((or @t110 @t117)))
% 0.61/0.82  (step @p173 :rule chain_m_resolution :premises (@p172 @p166) :args (@t117 @t87 (@list @t110)))
% 0.61/0.82  (step @p174 :rule refl :args (@t118))
% 0.61/0.82  (step @p175 :rule bool-double-not-elim :args (@t103))
% 0.61/0.82  (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or (not @t119) @t118)))
% 0.61/0.82  (assume-push @p325 @t119)
% 0.61/0.82  (step @p178 :rule skolemize :premises (@p325))
% 0.61/0.82  (step-pop @p326 :rule scope :premises (@p178))
% 0.61/0.82  (step @p179 :rule process_scope :premises (@p326) :args (@t118))
% 0.61/0.82  (step @p181 :rule implies_elim :premises (@p179))
% 0.61/0.82  (step @p182 :rule eq_resolve :premises (@p181 @p176))
% 0.61/0.82  (step @p183 :rule chain_m_resolution :premises (@p182 @p173) :args (@t103 @t113 (@list @t117)))
% 0.61/0.82  (step @p184 :rule aci_norm :args ((= (or (or @t37 @t125 @t124) @t122) @t126)))
% 0.61/0.82  (step @p185 :rule refl :args (@t122))
% 0.61/0.82  (step @p186 :rule refl :args (@t124))
% 0.61/0.82  (step @p187 :rule bool-double-not-elim :args (@t125))
% 0.61/0.82  (step @p188 :rule refl :args (@t37))
% 0.61/0.82  (step @p189 :rule nary_cong :premises (@p188 @p187 @p186) :args (@t129))
% 0.61/0.82  (step @p190 :rule aci_norm :args ((= (or @t37 (or @t128 @t124)) @t129)))
% 0.61/0.82  (step @p191 :rule trans :premises (@p190 @p189))
% 0.61/0.82  (step @p192 :rule bool-and-de-morgan :args (@t127 @t123 true))
% 0.61/0.82  (step @p193 :rule nary_cong :premises (@p188 @p192) :args ((or @t37 (not (and @t127 @t123)))))
% 0.61/0.82  (step @p194 :rule bool-and-de-morgan :args (@t30 @t127 (and @t123)))
% 0.61/0.82  (step @p195 :rule trans :premises (@p194 @p193))
% 0.61/0.82  (step @p196 :rule trans :premises (@p195 @p191))
% 0.61/0.82  (step @p197 :rule nary_cong :premises (@p196 @p185) :args ((or (not @t130) @t122)))
% 0.61/0.82  (step @p198 :rule trans :premises (@p197 @p184))
% 0.61/0.82  (step @p199 :rule bool-impl-elim :args (@t130 @t122))
% 0.61/0.82  (step @p200 :rule trans :premises (@p199 @p198))
% 0.61/0.82  (step @p201 :rule cong :premises (@p200) :args ((forall @t33 (=> @t130 @t122))))
% 0.61/0.82  (step @p202 :rule arith_poly_norm :args ((= @t21 @t120)))
% 0.61/0.82  (step @p203 :rule cong :premises (@p202) :args (@t22))
% 0.61/0.82  (step @p204 :rule refl :args (@t3))
% 0.61/0.82  (step @p205 :rule cong :premises (@p204 @p203) :args (@t23))
% 0.61/0.82  (step @p206 :rule bool-double-not-elim :args (@t123))
% 0.61/0.82  (step @p207 :rule bool-and-de-morgan :args (@t10 @t5 true))
% 0.61/0.82  (step @p208 :rule cong :premises (@p207) :args (@t131))
% 0.61/0.82  (step @p209 :rule cong :premises (@p208) :args (@t132))
% 0.61/0.82  (step @p210 :rule exists-elim :args ((= @t26 @t132)))
% 0.61/0.82  (step @p211 :rule trans :premises (@p210 @p209))
% 0.61/0.82  (step @p212 :rule cong :premises (@p211) :args (@t27))
% 0.61/0.82  (step @p213 :rule trans :premises (@p212 @p206))
% 0.61/0.82  (step @p214 :rule cong :premises (@p204 @p203) :args (@t28))
% 0.61/0.82  (step @p215 :rule cong :premises (@p214) :args (@t29))
% 0.61/0.82  (step @p216 :rule refl :args (@t30))
% 0.61/0.82  (step @p217 :rule nary_cong :premises (@p216 @p215 @p213) :args (@t31))
% 0.61/0.82  (step @p218 :rule cong :premises (@p217 @p205) :args (@t32))
% 0.61/0.82  (step @p219 :rule cong :premises (@p218) :args (@t34))
% 0.61/0.82  (step @p220 :rule trans :premises (@p219 @p201))
% 0.61/0.82  (step @p221 :rule eq_resolve :premises (@p5 @p220))
% 0.61/0.82  (step @p222 :rule evaluate :args (@t133))
% 0.61/0.82  (step @p223 :rule cong :premises (@p222) :args (@t134))
% 0.61/0.82  (step @p224 :rule refl :args (tptp.filling))
% 0.61/0.82  (step @p225 :rule cong :premises (@p224 @p223) :args (@t135))
% 0.61/0.82  (step @p226 :rule refl :args (@t119))
% 0.61/0.82  (step @p227 :rule cong :premises (@p224 @p223) :args (@t136))
% 0.61/0.82  (step @p228 :rule refl :args (@t92))
% 0.61/0.82  (step @p229 :rule nary_cong :premises (@p228 @p227 @p226 @p225) :args (@t137))
% 0.61/0.82  (step @p230 :rule refl :args (@t138))
% 0.61/0.82  (step @p231 :rule cong :premises (@p230 @p229) :args ((=> @t138 @t137)))
% 0.61/0.82  (assume-push @p327 @t138)
% 0.61/0.82  (step @p233 :rule instantiate :premises (@p221) :args ((@list tptp.filling 3)))
% 0.61/0.82  (step-pop @p328 :rule scope :premises (@p233))
% 0.61/0.82  (step @p234 :rule process_scope :premises (@p328) :args (@t137))
% 0.61/0.82  (step @p236 :rule eq_resolve :premises (@p234 @p231))
% 0.61/0.82  (step @p237 :rule implies_elim :premises (@p236))
% 0.61/0.82  (step @p238 :rule chain_m_resolution :premises (@p237 @p221) :args (@t139 @t113 @t140))
% 0.61/0.82  (step @p239 :rule cnf_or_pos :args (@t139))
% 0.61/0.82  (step @p240 :rule reordering :premises (@p239) :args ((or @t92 @t119 @t99 @t95 (not @t139))))
% 0.61/0.82  (step @p241 :rule chain_m_resolution :premises (@p240 @p238 @p183 @p136 @p113 @p111 @p87 @p85 @p53) :args (@t91 (@list false false true true true true false false) (@list @t139 @t103 @t99 @t84 @t95 @t83 @t89 @t82)))
% 0.61/0.82  (step @p242 :rule cnf_and_pos :args (@t143 1))
% 0.61/0.82  (step @p243 :rule reordering :premises (@p242) :args ((or @t90 @t144)))
% 0.61/0.82  (step @p244 :rule chain_m_resolution :premises (@p243 @p241) :args (@t144 @t87 @t145))
% 0.61/0.82  (step @p245 :rule cnf_and_pos :args (@t146 1))
% 0.61/0.82  (step @p246 :rule reordering :premises (@p245) :args ((or @t90 @t147)))
% 0.61/0.82  (step @p247 :rule chain_m_resolution :premises (@p246 @p241) :args (@t147 @t87 @t145))
% 0.61/0.82  (step @p248 :rule cnf_or_pos :args (@t148))
% 0.61/0.82  (step @p249 :rule reordering :premises (@p248) :args ((or @t146 @t143 @t149)))
% 0.61/0.82  (step @p250 :rule chain_m_resolution :premises (@p249 @p247 @p244) :args (@t149 (@list true true) (@list @t146 @t143)))
% 0.61/0.82  (step @p251 :rule refl :args (@t81))
% 0.61/0.82  (step @p252 :rule cong :premises (@p251 @p223) :args (@t150))
% 0.61/0.82  (step @p253 :rule refl :args (@t151))
% 0.61/0.82  (step @p254 :rule cong :premises (@p251 @p223) :args (@t152))
% 0.61/0.82  (step @p255 :rule nary_cong :premises (@p56 @p254 @p253 @p252) :args (@t153))
% 0.61/0.82  (step @p256 :rule cong :premises (@p230 @p255) :args ((=> @t138 @t153)))
% 0.61/0.82  (assume-push @p329 @t138)
% 0.61/0.82  (step @p258 :rule instantiate :premises (@p221) :args ((@list @t81 3)))
% 0.61/0.82  (step-pop @p330 :rule scope :premises (@p258))
% 0.61/0.82  (step @p259 :rule process_scope :premises (@p330) :args (@t153))
% 0.61/0.82  (step @p261 :rule eq_resolve :premises (@p259 @p256))
% 0.61/0.82  (step @p262 :rule implies_elim :premises (@p261))
% 0.61/0.82  (step @p263 :rule chain_m_resolution :premises (@p262 @p221) :args (@t154 @t113 @t140))
% 0.61/0.82  (step @p264 :rule cnf_or_pos :args (@t154))
% 0.61/0.82  (step @p265 :rule reordering :premises (@p264) :args ((or @t85 @t84 @t83 @t151 (not @t154))))
% 0.61/0.82  (step @p266 :rule chain_m_resolution :premises (@p265 @p53 @p113 @p87 @p263) :args (@t151 (@list false true true false) (@list @t82 @t84 @t83 @t154)))
% 0.61/0.82  (step @p267 :rule skolemize :premises (@p266))
% 0.61/0.82  (step @p268 :rule bool-double-not-elim :args (@t155))
% 0.61/0.82  (step @p269 :rule refl :args (@t157))
% 0.61/0.82  (step @p270 :rule nary_cong :premises (@p269 @p268) :args ((or @t157 (not @t156))))
% 0.61/0.82  (step @p271 :rule cnf_or_neg :args (@t157 1))
% 0.61/0.82  (step @p272 :rule eq_resolve :premises (@p271 @p270))
% 0.61/0.82  (step @p273 :rule reordering :premises (@p272) :args ((or @t155 @t157)))
% 0.61/0.82  (step @p274 :rule chain_m_resolution :premises (@p273 @p267) :args (@t155 @t87 (@list @t157)))
% 0.61/0.82  (step @p275 :rule cnf_equiv_pos1 :args (@t158))
% 0.61/0.82  (step @p276 :rule reordering :premises (@p275) :args ((or @t156 @t148 @t159)))
% 0.61/0.82  (step @p277 :rule chain_m_resolution :premises (@p276 @p274 @p250) :args (@t159 (@list false true) (@list @t155 @t148)))
% 0.61/0.82  (step @p278 :rule eq-symm :args (@t81 tptp.filling))
% 0.61/0.82  (step @p279 :rule eq-symm :args (@t142 tptp.overflow))
% 0.61/0.82  (step @p280 :rule nary_cong :premises (@p279 @p278) :args (@t161))
% 0.61/0.82  (step @p281 :rule eq-symm :args (@t142 tptp.tapOff))
% 0.61/0.82  (step @p282 :rule nary_cong :premises (@p281 @p278) :args (@t162))
% 0.61/0.82  (step @p283 :rule nary_cong :premises (@p282 @p280) :args (@t163))
% 0.61/0.82  (step @p284 :rule refl :args (@t155))
% 0.61/0.82  (step @p285 :rule cong :premises (@p284 @p283) :args (@t164))
% 0.61/0.82  (step @p286 :rule refl :args (@t57))
% 0.61/0.82  (step @p287 :rule cong :premises (@p286 @p285) :args ((=> @t57 @t164)))
% 0.61/0.82  (assume-push @p331 @t57)
% 0.61/0.82  (step @p289 :rule instantiate :premises (@p21) :args ((@list @t142 @t81 3)))
% 0.61/0.82  (step-pop @p332 :rule scope :premises (@p289))
% 0.61/0.83  (step @p290 :rule process_scope :premises (@p332) :args (@t164))
% 0.61/0.83  (step @p292 :rule eq_resolve :premises (@p290 @p287))
% 0.61/0.83  (step @p293 :rule implies_elim :premises (@p292))
% 0.61/0.83  (step @p294 false :rule chain_m_resolution :premises (@p293 @p277 @p21) :args (false @t116 (@list @t158 @t57)))
% 0.61/0.83  )
% 0.61/0.83  % SZS output end Proof
% 0.61/0.83  % cvc5 exiting
%------------------------------------------------------------------------------