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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : CSR017+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 : n025.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 0.46s 0.63s
% Output   : Proof 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR017+1 : TPTP v9.2.1. Bugfixed v3.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.34  % Computer : n025.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Mon Jun  1 20:37:01 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.30/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.46/0.63  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.46/0.63  % SZS status Theorem
% 0.46/0.63  % SZS output start Proof
% 0.46/0.63  (
% 0.46/0.63  (declare-sort $$unsorted 0)
% 0.46/0.63  (declare-const tptp.n3 $$unsorted)
% 0.46/0.63  (declare-const tptp.n7 $$unsorted)
% 0.46/0.63  (declare-const tptp.forwards $$unsorted)
% 0.46/0.63  (declare-const tptp.n2 $$unsorted)
% 0.46/0.63  (declare-const tptp.backwards $$unsorted)
% 0.46/0.63  (declare-const tptp.pull $$unsorted)
% 0.46/0.63  (declare-const tptp.spinning $$unsorted)
% 0.46/0.63  (declare-const tptp.push $$unsorted)
% 0.46/0.63  (declare-const tptp.terminates (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.46/0.63  (declare-const tptp.initiates (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.46/0.63  (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool))
% 0.46/0.63  (declare-const tptp.antitrajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool))
% 0.46/0.63  (declare-const tptp.n6 $$unsorted)
% 0.46/0.63  (declare-const tptp.less (-> $$unsorted $$unsorted Bool))
% 0.46/0.63  (declare-const tptp.startedIn (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.46/0.63  (declare-const tptp.happens (-> $$unsorted $$unsorted Bool))
% 0.46/0.63  (declare-const tptp.n9 $$unsorted)
% 0.46/0.63  (declare-const tptp.n5 $$unsorted)
% 0.46/0.63  (declare-const tptp.releases (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.46/0.63  (declare-const tptp.holdsAt (-> $$unsorted $$unsorted Bool))
% 0.46/0.63  (declare-const tptp.stoppedIn (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.46/0.63  (declare-const tptp.trajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool))
% 0.46/0.63  (declare-const tptp.n8 $$unsorted)
% 0.46/0.63  (declare-const tptp.n4 $$unsorted)
% 0.46/0.63  (declare-const tptp.n0 $$unsorted)
% 0.46/0.63  (declare-const tptp.n1 $$unsorted)
% 0.46/0.63  (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted))
% 0.46/0.63  (declare-const tptp.releasedAt (-> $$unsorted $$unsorted Bool))
% 0.46/0.63  (define @t1 () (@var "Time" $$unsorted))
% 0.46/0.63  (define @t2 () (@var "Fluent" $$unsorted))
% 0.46/0.63  (define @t3 () (@var "Event" $$unsorted))
% 0.46/0.63  (define @t4 () (tptp.terminates @t3 @t2 @t1))
% 0.46/0.63  (define @t5 () (@var "Time2" $$unsorted))
% 0.46/0.63  (define @t6 () (tptp.less @t1 @t5))
% 0.46/0.63  (define @t7 () (@var "Time1" $$unsorted))
% 0.46/0.63  (define @t8 () (tptp.less @t7 @t1))
% 0.46/0.63  (define @t9 () (tptp.happens @t3 @t1))
% 0.46/0.63  (define @t10 () (@list @t3 @t1))
% 0.46/0.63  (define @t11 () (tptp.initiates @t3 @t2 @t1))
% 0.46/0.63  (define @t12 () (@var "Offset" $$unsorted))
% 0.46/0.63  (define @t13 () (tptp.plus @t1 @t12))
% 0.46/0.63  (define @t14 () (@var "Fluent2" $$unsorted))
% 0.46/0.63  (define @t15 () (tptp.plus @t7 @t5))
% 0.46/0.63  (define @t16 () (@var "Fluent1" $$unsorted))
% 0.46/0.63  (define @t17 () (tptp.plus @t1 tptp.n1))
% 0.46/0.63  (define @t18 () (tptp.holdsAt @t2 @t17))
% 0.46/0.63  (define @t19 () (and @t9 @t4))
% 0.46/0.63  (define @t20 () (@list @t3))
% 0.46/0.63  (define @t21 () (tptp.releasedAt @t2 @t17))
% 0.46/0.63  (define @t22 () (not @t21))
% 0.46/0.63  (define @t23 () (tptp.holdsAt @t2 @t1))
% 0.46/0.63  (define @t24 () (@list @t2 @t1))
% 0.46/0.63  (define @t25 () (not @t18))
% 0.46/0.63  (define @t26 () (and @t9 @t11))
% 0.46/0.63  (define @t27 () (exists @t20 @t26))
% 0.46/0.63  (define @t28 () (not @t27))
% 0.46/0.63  (define @t29 () (not @t23))
% 0.46/0.63  (define @t30 () (and @t29 @t22 @t28))
% 0.46/0.63  (define @t31 () (=> @t30 @t25))
% 0.46/0.63  (define @t32 () (forall @t24 @t31))
% 0.46/0.63  (define @t33 () (and @t9 (or @t11 @t4)))
% 0.46/0.63  (define @t34 () (tptp.releasedAt @t2 @t1))
% 0.46/0.63  (define @t35 () (tptp.releases @t3 @t2 @t1))
% 0.46/0.63  (define @t36 () (and @t9 @t35))
% 0.46/0.63  (define @t37 () (not @t34))
% 0.46/0.63  (define @t38 () (@list @t3 @t1 @t2))
% 0.46/0.63  (define @t39 () (tptp.happens tptp.push @t1))
% 0.46/0.63  (define @t40 () (= @t2 tptp.spinning))
% 0.46/0.63  (define @t41 () (= @t3 tptp.pull))
% 0.46/0.63  (define @t42 () (not @t39))
% 0.46/0.63  (define @t43 () (= @t2 tptp.backwards))
% 0.46/0.63  (define @t44 () (not (tptp.happens tptp.pull @t1)))
% 0.46/0.63  (define @t45 () (= @t2 tptp.forwards))
% 0.46/0.63  (define @t46 () (= @t3 tptp.push))
% 0.46/0.63  (define @t47 () (@list @t3 @t2 @t1))
% 0.46/0.63  (define @t48 () (forall @t47 (= @t11 (or (and @t46 @t45 @t44) (and @t41 @t43 @t42) (and @t41 @t40 @t39)))))
% 0.46/0.63  (define @t49 () (= @t1 tptp.n2))
% 0.46/0.63  (define @t50 () (forall @t10 (= @t9 (or (and @t46 (= @t1 tptp.n0)) (and @t41 (= @t1 tptp.n1)) (and @t41 @t49) (and @t46 @t49)))))
% 0.46/0.63  (define @t51 () (= tptp.push tptp.pull))
% 0.46/0.63  (define @t52 () (not @t51))
% 0.46/0.63  (define @t53 () (= tptp.forwards tptp.spinning))
% 0.46/0.63  (define @t54 () (= tptp.spinning tptp.backwards))
% 0.46/0.63  (define @t55 () (tptp.plus tptp.n0 tptp.n1))
% 0.46/0.63  (define @t56 () (tptp.plus tptp.n0 tptp.n2))
% 0.46/0.63  (define @t57 () (tptp.plus tptp.n1 tptp.n1))
% 0.46/0.63  (define @t58 () (tptp.plus tptp.n2 tptp.n2))
% 0.46/0.63  (define @t59 () (@var "X" $$unsorted))
% 0.46/0.63  (define @t60 () (@var "Y" $$unsorted))
% 0.46/0.63  (define @t61 () (@list @t59 @t60))
% 0.46/0.63  (define @t62 () (tptp.less @t59 @t60))
% 0.46/0.63  (define @t63 () (@list @t59))
% 0.46/0.63  (define @t64 () (not (= @t60 @t59)))
% 0.46/0.63  (define @t65 () (not (tptp.less @t60 @t59)))
% 0.46/0.63  (define @t66 () (and @t65 @t64))
% 0.46/0.63  (define @t67 () (= @t62 @t66))
% 0.46/0.63  (define @t68 () (forall @t61 @t67))
% 0.46/0.63  (define @t69 () (tptp.holdsAt tptp.spinning tptp.n0))
% 0.46/0.63  (define @t70 () (tptp.holdsAt tptp.spinning tptp.n1))
% 0.46/0.63  (define @t71 () (@list tptp.n0 tptp.n2))
% 0.46/0.63  (define @t72 () (= tptp.n0 tptp.n2))
% 0.46/0.63  (define @t73 () (forall @t20 (or (not (tptp.happens @t3 tptp.n0)) (not (tptp.initiates @t3 tptp.spinning tptp.n0)))))
% 0.46/0.63  (define @t74 () (@quantifiers_skolemize @t73 0))
% 0.46/0.63  (define @t75 () (= @t74 tptp.push))
% 0.46/0.63  (define @t76 () (and @t75 @t72))
% 0.46/0.63  (define @t77 () (= @t74 tptp.pull))
% 0.46/0.63  (define @t78 () (and @t77 @t72))
% 0.46/0.63  (define @t79 () (= tptp.n0 tptp.n1))
% 0.46/0.63  (define @t80 () (and @t77 @t79))
% 0.46/0.63  (define @t81 () (= tptp.push @t74))
% 0.46/0.63  (define @t82 () (and @t75 (= tptp.n0 tptp.n0)))
% 0.46/0.63  (define @t83 () (or @t82 @t80 @t78 @t76))
% 0.46/0.63  (define @t84 () (tptp.happens @t74 tptp.n0))
% 0.46/0.63  (define @t85 () (= @t84 @t83))
% 0.46/0.63  (define @t86 () (and @t81 @t72))
% 0.46/0.63  (define @t87 () (= tptp.pull @t74))
% 0.46/0.63  (define @t88 () (and @t87 @t72))
% 0.46/0.63  (define @t89 () (and @t87 @t79))
% 0.46/0.63  (define @t90 () (or @t81 @t89 @t88 @t86))
% 0.46/0.63  (define @t91 () (= @t84 @t90))
% 0.46/0.63  (define @t92 () (@list false))
% 0.46/0.63  (define @t93 () (forall @t20 (or (not @t9) (not @t11))))
% 0.46/0.63  (define @t94 () (not @t93))
% 0.46/0.63  (define @t95 () (not @t22))
% 0.46/0.63  (define @t96 () (not @t29))
% 0.46/0.63  (define @t97 () (or @t96 @t95 @t94))
% 0.46/0.63  (define @t98 () (and @t29 @t22 @t93))
% 0.46/0.63  (define @t99 () (forall @t20 (not @t26)))
% 0.46/0.63  (define @t100 () (not @t99))
% 0.46/0.63  (define @t101 () (tptp.holdsAt tptp.spinning @t55))
% 0.46/0.63  (define @t102 () (not @t101))
% 0.46/0.63  (define @t103 () (not @t73))
% 0.46/0.63  (define @t104 () (tptp.releasedAt tptp.spinning @t55))
% 0.46/0.63  (define @t105 () (or @t69 @t104 @t103 @t102))
% 0.46/0.63  (define @t106 () (tptp.initiates @t74 tptp.spinning tptp.n0))
% 0.46/0.63  (define @t107 () (not @t106))
% 0.46/0.63  (define @t108 () (not @t84))
% 0.46/0.63  (define @t109 () (or @t108 @t107))
% 0.46/0.63  (define @t110 () (@list true))
% 0.46/0.63  (define @t111 () (@list @t109))
% 0.46/0.63  (define @t112 () (@list false false))
% 0.46/0.63  (define @t113 () (tptp.happens tptp.push tptp.n0))
% 0.46/0.63  (define @t114 () (and @t87 @t113))
% 0.46/0.63  (define @t115 () (and @t77 (= tptp.spinning tptp.spinning) @t113))
% 0.46/0.63  (define @t116 () (not @t113))
% 0.46/0.63  (define @t117 () (and @t77 @t54 @t116))
% 0.46/0.63  (define @t118 () (not (tptp.happens tptp.pull tptp.n0)))
% 0.46/0.63  (define @t119 () (and @t75 (= tptp.spinning tptp.forwards) @t118))
% 0.46/0.63  (define @t120 () (or @t119 @t117 @t115))
% 0.46/0.63  (define @t121 () (= @t106 @t120))
% 0.46/0.63  (define @t122 () (= tptp.backwards tptp.spinning))
% 0.46/0.63  (define @t123 () (and @t87 @t122 @t116))
% 0.46/0.63  (define @t124 () (and @t81 @t53 @t118))
% 0.46/0.63  (define @t125 () (or @t124 @t123 @t114))
% 0.46/0.63  (define @t126 () (= @t106 @t125))
% 0.46/0.63  (define @t127 () (not @t123))
% 0.46/0.63  (define @t128 () (not @t124))
% 0.46/0.63  (define @t129 () (not @t81))
% 0.46/0.63  (define @t130 () (not @t87))
% 0.46/0.63  (define @t131 () (and @t52 @t87))
% 0.46/0.63  (define @t132 () (not @t90))
% 0.46/0.63  (define @t133 () (= tptp.n1 @t55))
% 0.46/0.63  (define @t134 () (= tptp.n2 @t57))
% 0.46/0.63  (define @t135 () (tptp.plus tptp.n1 tptp.n0))
% 0.46/0.63  (define @t136 () (= @t55 @t135))
% 0.46/0.63  (define @t137 () (and @t133 @t134 @t136 @t79))
% 0.46/0.63  (define @t138 () (@list tptp.n0))
% 0.46/0.63  (define @t139 () (or (tptp.less tptp.n0 tptp.n2) @t72))
% 0.46/0.63  (define @t140 () (tptp.less_or_equal tptp.n0 tptp.n2))
% 0.46/0.63  (define @t141 () (= @t140 @t139))
% 0.46/0.63  (define @t142 () (tptp.less tptp.n0 tptp.n3))
% 0.46/0.63  (define @t143 () (= @t142 @t140))
% 0.46/0.63  (define @t144 () (or @t142 (= tptp.n0 tptp.n3)))
% 0.46/0.63  (define @t145 () (tptp.less_or_equal tptp.n0 tptp.n3))
% 0.46/0.63  (define @t146 () (= @t145 @t144))
% 0.46/0.63  (define @t147 () (tptp.less tptp.n0 tptp.n4))
% 0.46/0.63  (define @t148 () (= @t147 @t145))
% 0.46/0.63  (define @t149 () (= tptp.n0 tptp.n4))
% 0.46/0.63  (define @t150 () (not @t149))
% 0.46/0.63  (define @t151 () (and (not (tptp.less tptp.n4 tptp.n0)) @t150))
% 0.46/0.63  (define @t152 () (= @t147 @t151))
% 0.46/0.63  (define @t153 () (= tptp.n2 @t56))
% 0.46/0.63  (define @t154 () (= tptp.n4 @t58))
% 0.46/0.63  (define @t155 () (tptp.plus tptp.n2 tptp.n0))
% 0.46/0.63  (define @t156 () (= @t56 @t155))
% 0.46/0.63  (define @t157 () (and @t153 @t154 @t156 @t72))
% 0.46/0.63  (assume @p1 (forall (@list @t7 @t2 @t5) (= (tptp.stoppedIn @t7 @t2 @t5) (exists @t10 (and @t9 @t8 @t6 @t4)))))
% 0.46/0.63  (assume @p2 (forall (@list @t7 @t5 @t2) (= (tptp.startedIn @t7 @t2 @t5) (exists @t10 (and @t9 @t8 @t6 @t11)))))
% 0.46/0.63  (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))))
% 0.46/0.63  (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))))
% 0.46/0.63  (assume @p5 (forall @t24 (=> (and @t23 @t22 (not (exists @t20 @t19))) @t18)))
% 0.46/0.63  (assume @p6 @t32)
% 0.46/0.63  (assume @p7 (forall @t24 (=> (and @t34 (not (exists @t20 @t33))) @t21)))
% 0.46/0.63  (assume @p8 (forall @t24 (=> (and @t37 (not (exists @t20 @t36))) @t22)))
% 0.46/0.63  (assume @p9 (forall @t38 (=> @t26 @t18)))
% 0.46/0.63  (assume @p10 (forall @t38 (=> @t19 @t25)))
% 0.46/0.63  (assume @p11 (forall @t38 (=> @t36 @t21)))
% 0.46/0.63  (assume @p12 (forall @t38 (=> @t33 @t22)))
% 0.46/0.63  (assume @p13 @t48)
% 0.46/0.63  (assume @p14 (forall @t47 (= @t4 (or (and @t46 @t43 @t44) (and @t41 @t45 @t42) (and @t41 @t45 @t39) (and @t41 @t43 @t39) (and @t46 @t40 @t44) (and @t41 @t40 @t42)))))
% 0.46/0.63  (assume @p15 (forall @t47 (not @t35)))
% 0.46/0.63  (assume @p16 @t50)
% 0.46/0.63  (assume @p17 @t52)
% 0.46/0.63  (assume @p18 (not (= tptp.forwards tptp.backwards)))
% 0.46/0.63  (assume @p19 (not @t53))
% 0.46/0.63  (assume @p20 (not @t54))
% 0.46/0.63  (assume @p21 (= (tptp.plus tptp.n0 tptp.n0) tptp.n0))
% 0.46/0.63  (assume @p22 (= @t55 tptp.n1))
% 0.46/0.63  (assume @p23 (= @t56 tptp.n2))
% 0.46/0.63  (assume @p24 (= (tptp.plus tptp.n0 tptp.n3) tptp.n3))
% 0.46/0.63  (assume @p25 (= @t57 tptp.n2))
% 0.46/0.63  (assume @p26 (= (tptp.plus tptp.n1 tptp.n2) tptp.n3))
% 0.46/0.63  (assume @p27 (= (tptp.plus tptp.n1 tptp.n3) tptp.n4))
% 0.46/0.63  (assume @p28 (= @t58 tptp.n4))
% 0.46/0.63  (assume @p29 (= (tptp.plus tptp.n2 tptp.n3) tptp.n5))
% 0.46/0.63  (assume @p30 (= (tptp.plus tptp.n3 tptp.n3) tptp.n6))
% 0.46/0.63  (assume @p31 (forall @t61 (= (tptp.plus @t59 @t60) (tptp.plus @t60 @t59))))
% 0.46/0.63  (assume @p32 (forall @t61 (= (tptp.less_or_equal @t59 @t60) (or @t62 (= @t59 @t60)))))
% 0.46/0.63  (assume @p33 (not (exists @t63 (tptp.less @t59 tptp.n0))))
% 0.46/0.63  (assume @p34 (forall @t63 (= (tptp.less @t59 tptp.n1) (tptp.less_or_equal @t59 tptp.n0))))
% 0.46/0.63  (assume @p35 (forall @t63 (= (tptp.less @t59 tptp.n2) (tptp.less_or_equal @t59 tptp.n1))))
% 0.46/0.63  (assume @p36 (forall @t63 (= (tptp.less @t59 tptp.n3) (tptp.less_or_equal @t59 tptp.n2))))
% 0.46/0.63  (assume @p37 (forall @t63 (= (tptp.less @t59 tptp.n4) (tptp.less_or_equal @t59 tptp.n3))))
% 0.46/0.63  (assume @p38 (forall @t63 (= (tptp.less @t59 tptp.n5) (tptp.less_or_equal @t59 tptp.n4))))
% 0.46/0.63  (assume @p39 (forall @t63 (= (tptp.less @t59 tptp.n6) (tptp.less_or_equal @t59 tptp.n5))))
% 0.46/0.63  (assume @p40 (forall @t63 (= (tptp.less @t59 tptp.n7) (tptp.less_or_equal @t59 tptp.n6))))
% 0.46/0.63  (assume @p41 (forall @t63 (= (tptp.less @t59 tptp.n8) (tptp.less_or_equal @t59 tptp.n7))))
% 0.46/0.63  (assume @p42 (forall @t63 (= (tptp.less @t59 tptp.n9) (tptp.less_or_equal @t59 tptp.n8))))
% 0.46/0.63  (assume @p43 @t68)
% 0.46/0.63  (assume @p44 (not (tptp.holdsAt tptp.forwards tptp.n0)))
% 0.46/0.63  (assume @p45 (not (tptp.holdsAt tptp.backwards tptp.n0)))
% 0.46/0.63  (assume @p46 (not @t69))
% 0.46/0.63  (assume @p47 (forall @t24 @t37))
% 0.46/0.63  (assume @p48 (not (not @t70)))
% 0.46/0.63  (assume @p49 true)
% 0.46/0.63  (step @p50 :rule symm :premises (@p23))
% 0.46/0.63  (step @p51 :rule symm :premises (@p28))
% 0.46/0.63  (step @p52 :rule instantiate :premises (@p31) :args (@t71))
% 0.46/0.63  (step @p53 :rule refl :args (@t72))
% 0.46/0.63  (step @p54 :rule eq-symm :args (@t74 tptp.push))
% 0.46/0.63  (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t76))
% 0.46/0.63  (step @p56 :rule eq-symm :args (@t74 tptp.pull))
% 0.46/0.63  (step @p57 :rule nary_cong :premises (@p56 @p53) :args (@t78))
% 0.46/0.63  (step @p58 :rule refl :args (@t79))
% 0.46/0.63  (step @p59 :rule nary_cong :premises (@p56 @p58) :args (@t80))
% 0.46/0.63  (step @p60 :rule aci_norm :args ((= (and @t81 true) @t81)))
% 0.46/0.63  (step @p61 :rule eq-refl :args (tptp.n0))
% 0.46/0.63  (step @p62 :rule nary_cong :premises (@p54 @p61) :args (@t82))
% 0.46/0.63  (step @p63 :rule trans :premises (@p62 @p60))
% 0.46/0.63  (step @p64 :rule nary_cong :premises (@p63 @p59 @p57 @p55) :args (@t83))
% 0.46/0.63  (step @p65 :rule refl :args (@t84))
% 0.46/0.63  (step @p66 :rule cong :premises (@p65 @p64) :args (@t85))
% 0.46/0.63  (step @p67 :rule refl :args (@t50))
% 0.46/0.63  (step @p68 :rule cong :premises (@p67 @p66) :args ((=> @t50 @t85)))
% 0.46/0.63  (assume-push @p305 @t50)
% 0.46/0.63  (step @p70 :rule instantiate :premises (@p16) :args ((@list @t74 tptp.n0)))
% 0.46/0.63  (step-pop @p306 :rule scope :premises (@p70))
% 0.46/0.63  (step @p71 :rule process_scope :premises (@p306) :args (@t85))
% 0.46/0.63  (step @p73 :rule eq_resolve :premises (@p71 @p68))
% 0.46/0.63  (step @p74 :rule implies_elim :premises (@p73))
% 0.46/0.63  (step @p75 :rule chain_m_resolution :premises (@p74 @p16) :args (@t91 @t92 (@list @t50)))
% 0.46/0.63  (step @p76 :rule aci_norm :args ((= (or (or @t23 @t21 @t94) @t25) (or @t23 @t21 @t94 @t25))))
% 0.46/0.63  (step @p77 :rule refl :args (@t25))
% 0.46/0.63  (step @p78 :rule refl :args (@t94))
% 0.46/0.63  (step @p79 :rule bool-double-not-elim :args (@t21))
% 0.46/0.63  (step @p80 :rule bool-double-not-elim :args (@t23))
% 0.46/0.63  (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args (@t97))
% 0.46/0.63  (step @p82 :rule aci_norm :args ((= (or @t96 (or @t95 @t94)) @t97)))
% 0.46/0.63  (step @p83 :rule trans :premises (@p82 @p81))
% 0.46/0.63  (step @p84 :rule bool-and-de-morgan :args (@t22 @t93 true))
% 0.46/0.63  (step @p85 :rule refl :args (@t96))
% 0.46/0.63  (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t96 (not (and @t22 @t93)))))
% 0.46/0.63  (step @p87 :rule bool-and-de-morgan :args (@t29 @t22 (and @t93)))
% 0.46/0.63  (step @p88 :rule trans :premises (@p87 @p86))
% 0.46/0.63  (step @p89 :rule trans :premises (@p88 @p83))
% 0.46/0.63  (step @p90 :rule nary_cong :premises (@p89 @p77) :args ((or (not @t98) @t25)))
% 0.46/0.63  (step @p91 :rule trans :premises (@p90 @p76))
% 0.46/0.63  (step @p92 :rule bool-impl-elim :args (@t98 @t25))
% 0.46/0.63  (step @p93 :rule trans :premises (@p92 @p91))
% 0.46/0.63  (step @p94 :rule cong :premises (@p93) :args ((forall @t24 (=> @t98 @t25))))
% 0.46/0.63  (step @p95 :rule refl :args (@t25))
% 0.46/0.63  (step @p96 :rule bool-double-not-elim :args (@t93))
% 0.46/0.63  (step @p97 :rule bool-and-de-morgan :args (@t9 @t11 true))
% 0.46/0.63  (step @p98 :rule cong :premises (@p97) :args (@t99))
% 0.46/0.63  (step @p99 :rule cong :premises (@p98) :args (@t100))
% 0.46/0.63  (step @p100 :rule exists-elim :args ((= @t27 @t100)))
% 0.46/0.63  (step @p101 :rule trans :premises (@p100 @p99))
% 0.46/0.63  (step @p102 :rule cong :premises (@p101) :args (@t28))
% 0.46/0.63  (step @p103 :rule trans :premises (@p102 @p96))
% 0.46/0.63  (step @p104 :rule refl :args (@t22))
% 0.46/0.63  (step @p105 :rule refl :args (@t29))
% 0.46/0.63  (step @p106 :rule nary_cong :premises (@p105 @p104 @p103) :args (@t30))
% 0.46/0.63  (step @p107 :rule cong :premises (@p106 @p95) :args (@t31))
% 0.46/0.63  (step @p108 :rule cong :premises (@p107) :args (@t32))
% 0.46/0.63  (step @p109 :rule trans :premises (@p108 @p94))
% 0.46/0.63  (step @p110 :rule eq_resolve :premises (@p6 @p109))
% 0.46/0.63  (step @p111 :rule instantiate :premises (@p110) :args ((@list tptp.spinning tptp.n0)))
% 0.46/0.63  (step @p112 :rule bool-double-not-elim :args (@t70))
% 0.46/0.63  (step @p113 :rule eq_resolve :premises (@p48 @p112))
% 0.46/0.63  (step @p114 :rule true_intro :premises (@p113))
% 0.46/0.63  (step @p115 :rule refl :args (tptp.spinning))
% 0.46/0.63  (step @p116 :rule cong :premises (@p115 @p22) :args (@t101))
% 0.46/0.63  (step @p117 :rule trans :premises (@p116 @p114))
% 0.46/0.63  (step @p118 :rule true_elim :premises (@p117))
% 0.46/0.63  (step @p119 :rule instantiate :premises (@p47) :args ((@list tptp.spinning @t55)))
% 0.46/0.63  (step @p120 :rule cnf_or_pos :args (@t105))
% 0.46/0.63  (step @p121 :rule reordering :premises (@p120) :args ((or @t69 @t104 @t103 @t102 (not @t105))))
% 0.46/0.63  (step @p122 :rule chain_m_resolution :premises (@p121 @p46 @p119 @p118 @p111) :args (@t103 (@list true true false false) (@list @t69 @t104 @t101 @t105)))
% 0.46/0.63  (step @p123 :rule skolemize :premises (@p122))
% 0.46/0.63  (step @p124 :rule bool-double-not-elim :args (@t84))
% 0.46/0.63  (step @p125 :rule refl :args (@t109))
% 0.46/0.63  (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or @t109 (not @t108))))
% 0.46/0.63  (step @p127 :rule cnf_or_neg :args (@t109 0))
% 0.46/0.63  (step @p128 :rule eq_resolve :premises (@p127 @p126))
% 0.46/0.63  (step @p129 :rule reordering :premises (@p128) :args ((or @t84 @t109)))
% 0.46/0.63  (step @p130 :rule chain_m_resolution :premises (@p129 @p123) :args (@t84 @t110 @t111))
% 0.46/0.63  (step @p131 :rule cnf_equiv_pos1 :args (@t91))
% 0.46/0.63  (step @p132 :rule reordering :premises (@p131) :args ((or @t108 @t90 (not @t91))))
% 0.46/0.63  (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p75) :args (@t90 @t112 (@list @t84 @t91)))
% 0.46/0.63  (step @p134 :rule aci_norm :args ((= (and @t87 true @t113) @t114)))
% 0.46/0.63  (step @p135 :rule refl :args (@t113))
% 0.46/0.63  (step @p136 :rule eq-refl :args (tptp.spinning))
% 0.46/0.63  (step @p137 :rule nary_cong :premises (@p56 @p136 @p135) :args (@t115))
% 0.46/0.63  (step @p138 :rule trans :premises (@p137 @p134))
% 0.46/0.63  (step @p139 :rule refl :args (@t116))
% 0.46/0.63  (step @p140 :rule eq-symm :args (tptp.spinning tptp.backwards))
% 0.46/0.63  (step @p141 :rule nary_cong :premises (@p56 @p140 @p139) :args (@t117))
% 0.46/0.63  (step @p142 :rule refl :args (@t118))
% 0.46/0.63  (step @p143 :rule eq-symm :args (tptp.spinning tptp.forwards))
% 0.46/0.63  (step @p144 :rule nary_cong :premises (@p54 @p143 @p142) :args (@t119))
% 0.46/0.63  (step @p145 :rule nary_cong :premises (@p144 @p141 @p138) :args (@t120))
% 0.46/0.63  (step @p146 :rule refl :args (@t106))
% 0.46/0.63  (step @p147 :rule cong :premises (@p146 @p145) :args (@t121))
% 0.46/0.63  (step @p148 :rule refl :args (@t48))
% 0.46/0.63  (step @p149 :rule cong :premises (@p148 @p147) :args ((=> @t48 @t121)))
% 0.46/0.63  (assume-push @p307 @t48)
% 0.46/0.63  (step @p151 :rule instantiate :premises (@p13) :args ((@list @t74 tptp.spinning tptp.n0)))
% 0.46/0.63  (step-pop @p308 :rule scope :premises (@p151))
% 0.46/0.63  (step @p152 :rule process_scope :premises (@p308) :args (@t121))
% 0.46/0.63  (step @p154 :rule eq_resolve :premises (@p152 @p149))
% 0.46/0.63  (step @p155 :rule implies_elim :premises (@p154))
% 0.46/0.63  (step @p156 :rule chain_m_resolution :premises (@p155 @p13) :args (@t126 @t92 (@list @t48)))
% 0.46/0.63  (step @p157 :rule bool-double-not-elim :args (@t106))
% 0.46/0.63  (step @p158 :rule nary_cong :premises (@p125 @p157) :args ((or @t109 (not @t107))))
% 0.46/0.63  (step @p159 :rule cnf_or_neg :args (@t109 1))
% 0.46/0.63  (step @p160 :rule eq_resolve :premises (@p159 @p158))
% 0.46/0.63  (step @p161 :rule reordering :premises (@p160) :args ((or @t106 @t109)))
% 0.46/0.63  (step @p162 :rule chain_m_resolution :premises (@p161 @p123) :args (@t106 @t110 @t111))
% 0.46/0.63  (step @p163 :rule cnf_equiv_pos1 :args (@t126))
% 0.46/0.63  (step @p164 :rule reordering :premises (@p163) :args ((or @t107 @t125 (not @t126))))
% 0.46/0.63  (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p156) :args (@t125 @t112 (@list @t106 @t126)))
% 0.46/0.63  (step @p166 :rule symm :premises (@p20))
% 0.46/0.63  (step @p167 :rule cnf_and_pos :args (@t123 1))
% 0.46/0.63  (step @p168 :rule reordering :premises (@p167) :args ((or @t122 @t127)))
% 0.46/0.63  (step @p169 :rule chain_m_resolution :premises (@p168 @p166) :args (@t127 @t110 (@list @t122)))
% 0.46/0.63  (step @p170 :rule cnf_and_pos :args (@t124 1))
% 0.46/0.63  (step @p171 :rule reordering :premises (@p170) :args ((or @t53 @t128)))
% 0.46/0.63  (step @p172 :rule chain_m_resolution :premises (@p171 @p19) :args (@t128 @t110 (@list @t53)))
% 0.46/0.63  (step @p173 :rule cnf_or_pos :args (@t125))
% 0.46/0.63  (step @p174 :rule reordering :premises (@p173) :args ((or @t124 @t123 @t114 (not @t125))))
% 0.46/0.63  (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p169 @p165) :args (@t114 (@list true true false) (@list @t124 @t123 @t125)))
% 0.46/0.63  (step @p176 :rule cnf_and_pos :args (@t114 0))
% 0.46/0.63  (step @p177 :rule reordering :premises (@p176) :args ((or @t87 (not @t114))))
% 0.46/0.63  (step @p178 :rule chain_m_resolution :premises (@p177 @p175) :args (@t87 @t92 (@list @t114)))
% 0.46/0.63  (step @p179 :rule refl :args (@t129))
% 0.46/0.63  (step @p180 :rule refl :args (@t130))
% 0.46/0.63  (step @p181 :rule bool-double-not-elim :args (@t51))
% 0.46/0.63  (step @p182 :rule nary_cong :premises (@p181 @p180 @p179) :args ((or (not @t52) @t130 @t129)))
% 0.46/0.63  (assume-push @p309 @t52)
% 0.46/0.63  (assume-push @p310 @t87)
% 0.46/0.63  (step @p185 :rule false_intro :premises (@p17))
% 0.46/0.63  (step @p186 :rule symm :premises (@p178))
% 0.46/0.63  (step @p187 :rule refl :args (tptp.push))
% 0.46/0.63  (step @p188 :rule cong :premises (@p187 @p186) :args (@t81))
% 0.46/0.63  (step @p189 :rule trans :premises (@p188 @p185))
% 0.46/0.63  (step @p190 :rule false_elim :premises (@p189))
% 0.46/0.63  (step-pop @p311 :rule scope :premises (@p190))
% 0.46/0.63  (step-pop @p312 :rule scope :premises (@p311))
% 0.46/0.63  (step @p191 :rule process_scope :premises (@p312) :args (@t129))
% 0.46/0.63  (step @p194 :rule implies_elim :premises (@p191))
% 0.46/0.63  (step @p195 :rule cnf_and_neg :args (@t131))
% 0.46/0.63  (step @p196 :rule resolution :premises (@p195 @p194) :args (true @t131))
% 0.46/0.63  (step @p197 :rule eq_resolve :premises (@p196 @p182))
% 0.46/0.63  (step @p198 :rule reordering :premises (@p197) :args ((or @t51 @t129 @t130)))
% 0.46/0.63  (step @p199 :rule cnf_and_pos :args (@t86 0))
% 0.46/0.63  (step @p200 :rule reordering :premises (@p199) :args ((or @t81 (not @t86))))
% 0.46/0.63  (step @p201 :rule cnf_and_neg :args (@t88))
% 0.46/0.63  (step @p202 :rule cnf_or_pos :args (@t90))
% 0.46/0.63  (step @p203 :rule reordering :premises (@p202) :args ((or @t81 @t89 @t88 @t86 @t132)))
% 0.46/0.63  (step @p204 :rule cnf_and_pos :args (@t89 1))
% 0.46/0.63  (step @p205 :rule reordering :premises (@p204) :args ((or @t79 (not @t89))))
% 0.46/0.63  (step @p206 :rule symm :premises (@p22))
% 0.46/0.63  (step @p207 :rule symm :premises (@p25))
% 0.46/0.63  (step @p208 :rule instantiate :premises (@p31) :args ((@list tptp.n0 tptp.n1)))
% 0.46/0.63  (assume-push @p313 @t133)
% 0.46/0.63  (assume-push @p314 @t134)
% 0.46/0.63  (assume-push @p315 @t136)
% 0.46/0.63  (assume-push @p316 @t79)
% 0.46/0.63  (assume-push @p317 @t134)
% 0.46/0.63  (assume-push @p318 @t79)
% 0.46/0.63  (assume-push @p319 @t136)
% 0.46/0.63  (assume-push @p320 @t133)
% 0.46/0.63  (step @p217 :rule refl :args (tptp.n1))
% 0.46/0.63  (step @p218 :rule cong :premises (@p217 @p316) :args (@t135))
% 0.46/0.63  (step @p219 :rule trans :premises (@p316 @p206 @p208 @p218 @p25))
% 0.46/0.63  (step-pop @p321 :rule scope :premises (@p219))
% 0.46/0.63  (step-pop @p322 :rule scope :premises (@p321))
% 0.46/0.63  (step-pop @p323 :rule scope :premises (@p322))
% 0.46/0.63  (step-pop @p324 :rule scope :premises (@p323))
% 0.46/0.63  (step @p220 :rule process_scope :premises (@p324) :args (@t72))
% 0.46/0.63  (step @p225 :rule and_intro :premises (@p207 @p316 @p208 @p206))
% 0.46/0.63  (step @p226 :rule modus_ponens :premises (@p225 @p220))
% 0.46/0.63  (step-pop @p325 :rule scope :premises (@p226))
% 0.46/0.63  (step-pop @p326 :rule scope :premises (@p325))
% 0.46/0.63  (step-pop @p327 :rule scope :premises (@p326))
% 0.46/0.63  (step-pop @p328 :rule scope :premises (@p327))
% 0.46/0.63  (step @p227 :rule process_scope :premises (@p328) :args (@t72))
% 0.46/0.63  (step @p232 :rule implies_elim :premises (@p227))
% 0.46/0.63  (step @p233 :rule cnf_and_neg :args (@t137))
% 0.46/0.63  (step @p234 :rule resolution :premises (@p233 @p232) :args (true @t137))
% 0.46/0.63  (step @p235 :rule reordering :premises (@p234) :args ((or (not @t133) (not @t134) (not @t136) @t72 (not @t79))))
% 0.46/0.63  (step @p236 :rule chain_m_resolution :premises (@p235 @p208 @p207 @p206 @p205 @p203 @p201 @p200 @p198 @p17) :args ((or @t88 @t130 @t132) (@list false false false false false true true true true) (@list @t136 @t134 @t133 @t79 @t89 @t72 @t86 @t81 @t51)))
% 0.46/0.63  (step @p237 :rule chain_m_resolution :premises (@p236 @p178 @p133) :args (@t88 @t112 (@list @t87 @t90)))
% 0.46/0.63  (step @p238 :rule cnf_and_pos :args (@t88 1))
% 0.46/0.63  (step @p239 :rule reordering :premises (@p238) :args ((or @t72 (not @t88))))
% 0.46/0.63  (step @p240 :rule chain_m_resolution :premises (@p239 @p237) :args (@t72 @t92 (@list @t88)))
% 0.46/0.63  (step @p241 :rule eq-symm :args (@t60 @t59))
% 0.46/0.63  (step @p242 :rule cong :premises (@p241) :args (@t64))
% 0.46/0.63  (step @p243 :rule refl :args (@t65))
% 0.46/0.63  (step @p244 :rule nary_cong :premises (@p243 @p242) :args (@t66))
% 0.46/0.63  (step @p245 :rule refl :args (@t62))
% 0.46/0.63  (step @p246 :rule cong :premises (@p245 @p244) :args (@t67))
% 0.46/0.63  (step @p247 :rule cong :premises (@p246) :args (@t68))
% 0.46/0.63  (step @p248 :rule eq_resolve :premises (@p43 @p247))
% 0.46/0.63  (step @p249 :rule instantiate :premises (@p248) :args ((@list tptp.n0 tptp.n4)))
% 0.46/0.63  (step @p250 :rule instantiate :premises (@p37) :args (@t138))
% 0.46/0.63  (step @p251 :rule instantiate :premises (@p32) :args ((@list tptp.n0 tptp.n3)))
% 0.46/0.63  (step @p252 :rule instantiate :premises (@p36) :args (@t138))
% 0.46/0.63  (step @p253 :rule instantiate :premises (@p32) :args (@t71))
% 0.46/0.63  (step @p254 :rule cnf_or_neg :args (@t139 1))
% 0.46/0.63  (step @p255 :rule reordering :premises (@p254) :args ((or (not @t72) @t139)))
% 0.46/0.63  (step @p256 :rule chain_m_resolution :premises (@p255 @p240) :args (@t139 @t92 (@list @t72)))
% 0.46/0.63  (step @p257 :rule cnf_equiv_pos2 :args (@t141))
% 0.46/0.63  (step @p258 :rule reordering :premises (@p257) :args ((or @t140 (not @t139) (not @t141))))
% 0.46/0.63  (step @p259 :rule chain_m_resolution :premises (@p258 @p256 @p253) :args (@t140 @t112 (@list @t139 @t141)))
% 0.46/0.63  (step @p260 :rule cnf_equiv_pos2 :args (@t143))
% 0.46/0.63  (step @p261 :rule reordering :premises (@p260) :args ((or @t142 (not @t140) (not @t143))))
% 0.46/0.63  (step @p262 :rule chain_m_resolution :premises (@p261 @p259 @p252) :args (@t142 @t112 (@list @t140 @t143)))
% 0.46/0.63  (step @p263 :rule cnf_or_neg :args (@t144 0))
% 0.46/0.63  (step @p264 :rule reordering :premises (@p263) :args ((or (not @t142) @t144)))
% 0.46/0.63  (step @p265 :rule chain_m_resolution :premises (@p264 @p262) :args (@t144 @t92 (@list @t142)))
% 0.46/0.63  (step @p266 :rule cnf_equiv_pos2 :args (@t146))
% 0.46/0.63  (step @p267 :rule reordering :premises (@p266) :args ((or @t145 (not @t144) (not @t146))))
% 0.46/0.63  (step @p268 :rule chain_m_resolution :premises (@p267 @p265 @p251) :args (@t145 @t112 (@list @t144 @t146)))
% 0.46/0.63  (step @p269 :rule cnf_equiv_pos2 :args (@t148))
% 0.46/0.63  (step @p270 :rule reordering :premises (@p269) :args ((or @t147 (not @t145) (not @t148))))
% 0.46/0.63  (step @p271 :rule chain_m_resolution :premises (@p270 @p268 @p250) :args (@t147 @t112 (@list @t145 @t148)))
% 0.46/0.63  (step @p272 :rule cnf_equiv_pos1 :args (@t152))
% 0.46/0.63  (step @p273 :rule reordering :premises (@p272) :args ((or (not @t147) @t151 (not @t152))))
% 0.46/0.63  (step @p274 :rule chain_m_resolution :premises (@p273 @p271 @p249) :args (@t151 @t112 (@list @t147 @t152)))
% 0.46/0.63  (step @p275 :rule cnf_and_pos :args (@t151 1))
% 0.46/0.63  (step @p276 :rule reordering :premises (@p275) :args ((or @t150 (not @t151))))
% 0.46/0.63  (step @p277 :rule chain_m_resolution :premises (@p276 @p274) :args (@t150 @t92 (@list @t151)))
% 0.46/0.63  (assume-push @p329 @t153)
% 0.46/0.63  (assume-push @p330 @t154)
% 0.46/0.63  (assume-push @p331 @t156)
% 0.46/0.63  (assume-push @p332 @t72)
% 0.46/0.63  (assume-push @p333 @t154)
% 0.46/0.63  (assume-push @p334 @t72)
% 0.46/0.63  (assume-push @p335 @t156)
% 0.46/0.63  (assume-push @p336 @t153)
% 0.46/0.63  (step @p286 :rule refl :args (tptp.n2))
% 0.46/0.63  (step @p287 :rule cong :premises (@p286 @p332) :args (@t155))
% 0.46/0.63  (step @p288 :rule trans :premises (@p332 @p50 @p52 @p287 @p28))
% 0.46/0.63  (step-pop @p337 :rule scope :premises (@p288))
% 0.46/0.63  (step-pop @p338 :rule scope :premises (@p337))
% 0.46/0.63  (step-pop @p339 :rule scope :premises (@p338))
% 0.46/0.63  (step-pop @p340 :rule scope :premises (@p339))
% 0.46/0.63  (step @p289 :rule process_scope :premises (@p340) :args (@t149))
% 0.46/0.63  (step @p294 :rule and_intro :premises (@p51 @p332 @p52 @p50))
% 0.46/0.63  (step @p295 :rule modus_ponens :premises (@p294 @p289))
% 0.46/0.63  (step-pop @p341 :rule scope :premises (@p295))
% 0.46/0.63  (step-pop @p342 :rule scope :premises (@p341))
% 0.46/0.63  (step-pop @p343 :rule scope :premises (@p342))
% 0.46/0.63  (step-pop @p344 :rule scope :premises (@p343))
% 0.46/0.63  (step @p296 :rule process_scope :premises (@p344) :args (@t149))
% 0.46/0.63  (step @p301 :rule implies_elim :premises (@p296))
% 0.46/0.63  (step @p302 :rule cnf_and_neg :args (@t157))
% 0.46/0.63  (step @p303 :rule resolution :premises (@p302 @p301) :args (true @t157))
% 0.46/0.63  (step @p304 false :rule chain_m_resolution :premises (@p303 @p277 @p240 @p52 @p51 @p50) :args (false (@list true false false false false) (@list @t149 @t72 @t156 @t154 @t153)))
% 0.46/0.63  )
% 0.46/0.63  % SZS output end Proof
% 0.46/0.63  % cvc5 exiting
%------------------------------------------------------------------------------