%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO088^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n029.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 Feb 25 09:53:21 AM UTC 2026
% Result : Theorem 1.46s 1.30s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 4 unt; 0 typ; 6 def)
% Number of atoms : 362 ( 98 equ)
% Maximal formula atoms : 14 ( 10 avg)
% Number of connectives : 211 ( 80 ~; 76 |; 34 &)
% ( 6 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 196 ( 196 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 13 usr; 15 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(f53,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f28,f32,f36,f40,f45,f50,f52]) ).
tff(f52,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[status(thm)],[f51]) ).
tff(f51,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[status(thm)],[f44,f10]) ).
tff(f10,plain,
t != $true,
inference(cnf_transformation,[status(thm)],[f9]) ).
tff(f9,plain,
( ( s = $true )
& ( ( ( b = $true )
& ( a = $true )
& ( c = $true )
& ( d = $true ) )
| ( p != $true ) )
& ( ( t = $true )
| ( s != $true )
| ( ( p = $true )
& ( ( a != $true )
| ( c != $true )
| ( d != $true )
| ( b != $true ) ) ) )
& ( t != $true ) ),
inference(flattening,[status(thm)],[f8]) ).
tff(f8,plain,
( ( t != $true )
& ( s = $true )
& ( ( ( d = $true )
& ( c = $true )
& ( a = $true )
& ( b = $true ) )
| ( p != $true ) )
& ( ( t = $true )
| ( s != $true )
| ( ( p = $true )
& ( ( a != $true )
| ( c != $true )
| ( d != $true )
| ( b != $true ) ) ) ) ),
inference(ennf_transformation,[status(thm)],[f7]) ).
tff(f7,plain,
~ ( ( ( ( s = $true )
=> ( t = $true ) )
| ( ( p = $true )
& ( ( a != $true )
| ( c != $true )
| ( d != $true )
| ( b != $true ) ) ) )
=> ( ( ( s = $true )
=> ( t = $true ) )
| ( ( ~ ( ( d = $true )
& ( c = $true ) )
| ~ ( ( a = $true )
& ( b = $true ) ) )
& ( p = $true ) ) ) ),
inference(flattening,[status(thm)],[f6]) ).
tff(f6,plain,
~ ( ( ( ( ( a != $true )
| ( d != $true )
| ( c != $true )
| ( b != $true ) )
& ( p = $true ) )
| ( ( s = $true )
=> ( t = $true ) ) )
=> ( ( ( s = $true )
=> ( t = $true ) )
| ( ( ~ ( ( d = $true )
& ( c = $true ) )
| ~ ( ( a = $true )
& ( b = $true ) ) )
& ( p = $true ) ) ) ),
inference(fool_elimination,[status(thm)],[f5]) ).
tff(f5,plain,
~ ( ( ( ( ~ a
| ~ d
| ~ c
| ~ b )
& p )
| ( s
=> t ) )
=> ( ( s
=> t )
| ( p
& ( ~ ( b
& a )
| ~ ( c
& d ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( ( ~ a
| ~ d
| ~ c
| ~ b )
& p )
| ( s
=> t ) )
=> ( ( s
=> t )
| ( p
& ( ~ ( b
& a )
| ~ ( c
& d ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
( ( ( ( ~ a
| ~ d
| ~ c
| ~ b )
& p )
| ( s
=> t ) )
=> ( ( s
=> t )
| ( p
& ( ~ ( b
& a )
| ~ ( c
& d ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.sYvTfGnuzl/DTF2THF_24637.p',cARR_COM_DMG5) ).
tff(f44,plain,
( ( t = $true )
| ~ spl0_6 ),
inference(avatar_component_clause,[status(thm)],[f43]) ).
tff(f43,definition,
( spl0_6
<=> ( t = $true ) ),
introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition]) ).
tff(f50,plain,
( ~ spl0_4
| spl0_6
| ~ spl0_5
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[status(thm)],[f20,f30,f26,f38,f43,f34]) ).
tff(f34,definition,
( spl0_4
<=> ( c = $true ) ),
introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).
tff(f38,definition,
( spl0_5
<=> ( b = $true ) ),
introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition]) ).
tff(f26,definition,
( spl0_2
<=> ( a = $true ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
tff(f30,definition,
( spl0_3
<=> ( d = $true ) ),
introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).
tff(f20,plain,
( ( b != $true )
| ( c != $true )
| ( a != $true )
| ( d != $true )
| ( t = $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f19]) ).
tff(f19,plain,
( ( $true != $true )
| ( b != $true )
| ( c != $true )
| ( d != $true )
| ( t = $true )
| ( a != $true ) ),
inference(definition_unfolding,[status(thm)],[f11,f17]) ).
tff(f17,plain,
s = $true,
inference(cnf_transformation,[status(thm)],[f9]) ).
tff(f11,plain,
( ( t = $true )
| ( s != $true )
| ( a != $true )
| ( c != $true )
| ( d != $true )
| ( b != $true ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
tff(f45,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f21,f43,f23]) ).
tff(f23,definition,
( spl0_1
<=> ( p = $true ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
tff(f21,plain,
( ( p = $true )
| ( t = $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f18]) ).
tff(f18,plain,
( ( p = $true )
| ( t = $true )
| ( $true != $true ) ),
inference(definition_unfolding,[status(thm)],[f12,f17]) ).
tff(f12,plain,
( ( t = $true )
| ( s != $true )
| ( p = $true ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
tff(f40,plain,
( spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[status(thm)],[f16,f23,f38]) ).
tff(f16,plain,
( ( b = $true )
| ( p != $true ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
tff(f36,plain,
( spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[status(thm)],[f14,f23,f34]) ).
tff(f14,plain,
( ( p != $true )
| ( c = $true ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
tff(f32,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[status(thm)],[f13,f30,f23]) ).
tff(f13,plain,
( ( d = $true )
| ( p != $true ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
tff(f28,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f15,f26,f23]) ).
tff(f15,plain,
( ( p != $true )
| ( a = $true ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO088^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34 % Computer : n029.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 : Tue Feb 24 14:24:14 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.21/0.46 ---- Original DTF file ---
% 0.21/0.46 thf(spec,logic,$$dhol).
% 0.21/0.46 %------------------------------------------------------------------------------
% 0.21/0.46 % File : SYO088^5 : TPTP v9.2.1. Released v4.0.0.
% 0.21/0.46 % Domain : Syntactic
% 0.21/0.46 % Problem : TPS problem ARR-COM-DMG5
% 0.21/0.46 % Version : Especial.
% 0.21/0.46 % English : A propositional problem suggested by Jay Hunschel Kim.
% 0.21/0.46
% 0.21/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.46 % Source : [Bro09]
% 0.21/0.46 % Names : tps_0153 [Bro09]
% 0.21/0.46 % : ARR-COM-DMG5 [TPS]
% 0.21/0.46
% 0.21/0.46 % Status : Theorem
% 0.21/0.46 % Rating : 0.17 v9.1.0, 0.12 v9.0.0, 0.17 v8.2.0, 0.18 v8.1.0, 0.08 v7.4.0, 0.11 v7.3.0, 0.10 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.0.0, 0.00 v4.0.0
% 0.21/0.46 % Syntax : Number of formulae : 8 ( 0 unt; 7 typ; 0 def)
% 0.21/0.46 % Number of atoms : 14 ( 0 equ; 0 cnn)
% 0.21/0.46 % Maximal formula atoms : 14 ( 14 avg)
% 0.21/0.46 % Number of connectives : 19 ( 6 ~; 6 |; 4 &; 0 @)
% 0.21/0.46 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.21/0.46 % Maximal formula depth : 8 ( 8 avg)
% 0.21/0.46 % Number of types : 1 ( 0 usr)
% 0.21/0.46 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.21/0.46 % Number of symbols : 7 ( 7 usr; 7 con; 0-0 aty)
% 0.21/0.46 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.21/0.46 % SPC : TH0_THM_NEQ_NAR
% 0.21/0.46
% 0.21/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.21/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.21/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.21/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.21/0.46 %------------------------------------------------------------------------------
% 0.21/0.46 thf(t,type,
% 0.21/0.46 t: $o ).
% 0.21/0.46
% 0.21/0.46 thf(s,type,
% 0.21/0.46 s: $o ).
% 0.21/0.46
% 0.21/0.46 thf(p,type,
% 0.21/0.46 p: $o ).
% 0.21/0.46
% 0.21/0.46 thf(d,type,
% 0.21/0.46 d: $o ).
% 0.21/0.46
% 0.21/0.46 thf(c,type,
% 0.21/0.46 c: $o ).
% 0.21/0.46
% 0.21/0.46 thf(b,type,
% 0.21/0.46 b: $o ).
% 0.21/0.46
% 0.21/0.46 thf(a,type,
% 0.21/0.46 a: $o ).
% 0.21/0.46
% 0.21/0.46 thf(cARR_COM_DMG5,conjecture,
% 0.21/0.46 ( ( ( p
% 0.21/0.46 & ( ~ a
% 0.21/0.46 | ~ b
% 0.21/0.46 | ~ c
% 0.21/0.46 | ~ d ) )
% 0.21/0.46 | ( s
% 0.21/0.46 => t ) )
% 0.21/0.46 => ( ( ( ~ ( a
% 0.21/0.46 & b )
% 0.21/0.46 | ~ ( c
% 0.21/0.46 & d ) )
% 0.21/0.46 & p )
% 0.21/0.46 | ( s
% 0.21/0.46 => t ) ) ) ).
% 0.21/0.46
% 0.21/0.46 %------------------------------------------------------------------------------
% 0.21/0.46 ------------------------
% 1.46/1.27 ---- Embedded in THF ---
% 1.46/1.27 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.46/1.27 %%% Generated on Tue Feb 24 14:24:15 EST 2026
% 1.46/1.27 %%% using '$$dhol' embedding, version 1.3.0.
% 1.46/1.27 %%% Logic specification used:
% 1.46/1.27 %%% thf(spec, logic, $$dhol).
% 1.46/1.27
% 1.46/1.27 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.sYvTfGnuzl/DTF2DTF24637.p
% See solution above
% 1.46/1.27 ------------------------
% 1.46/1.28 ---- Cleaned THF ---
% 1.46/1.28 thf(t,type,
% 1.46/1.28 t: $o ).
% 1.46/1.28
% 1.46/1.28 thf(s,type,
% 1.46/1.28 s: $o ).
% 1.46/1.28
% 1.46/1.28 thf(p,type,
% 1.46/1.28 p: $o ).
% 1.46/1.28
% 1.46/1.28 thf(d,type,
% 1.46/1.28 d: $o ).
% 1.46/1.28
% 1.46/1.28 thf(c,type,
% 1.46/1.28 c: $o ).
% 1.46/1.28
% 1.46/1.28 thf(b,type,
% 1.46/1.28 b: $o ).
% 1.46/1.28
% 1.46/1.28 thf(a,type,
% 1.46/1.28 a: $o ).
% 1.46/1.28
% 1.46/1.28 thf(cARR_COM_DMG5,conjecture,
% 1.46/1.28 ( ( ( p
% 1.46/1.28 & ( ~ a
% 1.46/1.28 | ~ b
% 1.46/1.28 | ~ c
% 1.46/1.28 | ~ d ) )
% 1.46/1.28 | ( s
% 1.46/1.28 => t ) )
% 1.46/1.28 => ( ( ( ~ ( a
% 1.46/1.28 & b )
% 1.46/1.28 | ~ ( c
% 1.46/1.28 & d ) )
% 1.46/1.28 & p )
% 1.46/1.28 | ( s
% 1.46/1.28 => t ) ) ) ).
% 1.46/1.28 ------------------------
% 1.46/1.29 % (24968)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_24637 for (2999ds/2Mi)
% 1.46/1.29 % (24968)First to succeed.
% 1.46/1.30 % (24968)Refutation found. Thanks to Tanya!
% 1.46/1.30 % SZS status Theorem for DTF2THF_24637
% 1.46/1.30 % SZS output start Proof for DTF2THF_24637
% 1.46/1.30 tff(f53,plain,(
% 1.46/1.30 $false),
% 1.46/1.30 inference(avatar_sat_refutation,[status(thm)],[f28,f32,f36,f40,f45,f50,f52])).
% 1.46/1.30 tff(f52,plain,(
% 1.46/1.30 ~spl0_6),
% 1.46/1.30 inference(avatar_contradiction_clause,[status(thm)],[f51])).
% 1.46/1.30 tff(f51,plain,(
% 1.46/1.30 $false | ~spl0_6),
% 1.46/1.30 inference(subsumption_resolution,[status(thm)],[f44,f10])).
% 1.46/1.30 tff(f10,plain,(
% 1.46/1.30 (t != $true)),
% 1.46/1.30 inference(cnf_transformation,[status(thm)],[f9])).
% 1.46/1.30 tff(f9,plain,(
% 1.46/1.30 (s = $true) & (((b = $true) & (a = $true) & (c = $true) & (d = $true)) | (p != $true)) & ((t = $true) | (s != $true) | ((p = $true) & ((a != $true) | (c != $true) | (d != $true) | (b != $true)))) & (t != $true)),
% 1.46/1.30 inference(flattening,[status(thm)],[f8])).
% 1.46/1.30 tff(f8,plain,(
% 1.46/1.30 (((t != $true) & (s = $true)) & ((((d = $true) & (c = $true)) & ((a = $true) & (b = $true))) | (p != $true))) & (((t = $true) | (s != $true)) | ((p = $true) & ((a != $true) | (c != $true) | (d != $true) | (b != $true))))),
% 1.46/1.30 inference(ennf_transformation,[status(thm)],[f7])).
% 1.46/1.30 tff(f7,plain,(
% 1.46/1.30 ~((((s = $true) => (t = $true)) | ((p = $true) & ((a != $true) | (c != $true) | (d != $true) | (b != $true)))) => (((s = $true) => (t = $true)) | ((~((d = $true) & (c = $true)) | ~((a = $true) & (b = $true))) & (p = $true))))),
% 1.46/1.30 inference(flattening,[status(thm)],[f6])).
% 1.46/1.30 tff(f6,plain,(
% 1.46/1.30 ~((((~(a = $true) | ~(d = $true) | ~(c = $true) | ~(b = $true)) & (p = $true)) | ((s = $true) => (t = $true))) => (((s = $true) => (t = $true)) | ((~((d = $true) & (c = $true)) | ~((a = $true) & (b = $true))) & (p = $true))))),
% 1.46/1.30 inference(fool_elimination,[status(thm)],[f5])).
% 1.46/1.30 tff(f5,plain,(
% 1.46/1.30 ~((((~a | ~d | ~c | ~b) & p) | (s => t)) => ((s => t) | (p & (~(b & a) | ~(c & d)))))),
% 1.46/1.30 inference(rectify,[status(thm)],[f2])).
% 1.46/1.30 tff(f2,negated_conjecture,(
% 1.46/1.30 ~((((~a | ~d | ~c | ~b) & p) | (s => t)) => ((s => t) | (p & (~(b & a) | ~(c & d)))))),
% 1.46/1.30 inference(negated_conjecture,[status(cth)],[f1])).
% 1.46/1.30 tff(f1,conjecture,(
% 1.46/1.30 (((~a | ~d | ~c | ~b) & p) | (s => t)) => ((s => t) | (p & (~(b & a) | ~(c & d))))),
% 1.46/1.30 file('/export/starexec/sandbox/tmp/tmp.sYvTfGnuzl/DTF2THF_24637.p',cARR_COM_DMG5)).
% 1.46/1.30 tff(f44,plain,(
% 1.46/1.30 (t = $true) | ~spl0_6),
% 1.46/1.30 inference(avatar_component_clause,[status(thm)],[f43])).
% 1.46/1.30 tff(f43,definition,(
% 1.46/1.30 spl0_6 <=> (t = $true)),
% 1.46/1.30 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
% 1.46/1.30 tff(f50,plain,(
% 1.46/1.30 ~spl0_4 | spl0_6 | ~spl0_5 | ~spl0_2 | ~spl0_3),
% 1.46/1.30 inference(avatar_split_clause,[status(thm)],[f20,f30,f26,f38,f43,f34])).
% 1.46/1.30 tff(f34,definition,(
% 1.46/1.30 spl0_4 <=> (c = $true)),
% 1.46/1.30 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 1.46/1.30 tff(f38,definition,(
% 1.46/1.30 spl0_5 <=> (b = $true)),
% 1.46/1.30 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])).
% 1.46/1.30 tff(f26,definition,(
% 1.46/1.30 spl0_2 <=> (a = $true)),
% 1.46/1.30 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 1.46/1.30 tff(f30,definition,(
% 1.46/1.30 spl0_3 <=> (d = $true)),
% 1.46/1.30 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 1.46/1.30 tff(f20,plain,(
% 1.46/1.30 (b != $true) | (c != $true) | (a != $true) | (d != $true) | (t = $true)),
% 1.46/1.30 inference(trivial_inequality_removal,[status(thm)],[f19])).
% 1.46/1.30 tff(f19,plain,(
% 1.46/1.30 ($true != $true) | (b != $true) | (c != $true) | (d != $true) | (t = $true) | (a != $true)),
% 1.46/1.30 inference(definition_unfolding,[status(thm)],[f11,f17])).
% 1.46/1.30 tff(f17,plain,(
% 1.46/1.30 (s = $true)),
% 1.46/1.30 inference(cnf_transformation,[status(thm)],[f9])).
% 1.46/1.30 tff(f11,plain,(
% 1.46/1.30 (t = $true) | (s != $true) | (a != $true) | (c != $true) | (d != $true) | (b != $true)),
% 1.46/1.30 inference(cnf_transformation,[status(thm)],[f9])).
% 1.46/1.30 tff(f45,plain,(
% 1.46/1.30 spl0_1 | spl0_6),
% 1.46/1.30 inference(avatar_split_clause,[status(thm)],[f21,f43,f23])).
% 1.46/1.30 tff(f23,definition,(
% 1.46/1.30 spl0_1 <=> (p = $true)),
% 1.46/1.30 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 1.46/1.30 tff(f21,plain,(
% 1.46/1.30 (p = $true) | (t = $true)),
% 1.46/1.30 inference(trivial_inequality_removal,[status(thm)],[f18])).
% 1.46/1.30 tff(f18,plain,(
% 1.46/1.30 (p = $true) | (t = $true) | ($true != $true)),
% 1.46/1.30 inference(definition_unfolding,[status(thm)],[f12,f17])).
% 1.46/1.30 tff(f12,plain,(
% 1.46/1.30 (t = $true) | (s != $true) | (p = $true)),
% 1.46/1.30 inference(cnf_transformation,[status(thm)],[f9])).
% 1.46/1.30 tff(f40,plain,(
% 1.46/1.30 spl0_5 | ~spl0_1),
% 1.46/1.30 inference(avatar_split_clause,[status(thm)],[f16,f23,f38])).
% 1.46/1.30 tff(f16,plain,(
% 1.46/1.30 (b = $true) | (p != $true)),
% 1.46/1.30 inference(cnf_transformation,[status(thm)],[f9])).
% 1.46/1.30 tff(f36,plain,(
% 1.46/1.30 spl0_4 | ~spl0_1),
% 1.46/1.30 inference(avatar_split_clause,[status(thm)],[f14,f23,f34])).
% 1.46/1.30 tff(f14,plain,(
% 1.46/1.30 (p != $true) | (c = $true)),
% 1.46/1.30 inference(cnf_transformation,[status(thm)],[f9])).
% 1.46/1.30 tff(f32,plain,(
% 1.46/1.30 ~spl0_1 | spl0_3),
% 1.46/1.30 inference(avatar_split_clause,[status(thm)],[f13,f30,f23])).
% 1.46/1.30 tff(f13,plain,(
% 1.46/1.30 (d = $true) | (p != $true)),
% 1.46/1.30 inference(cnf_transformation,[status(thm)],[f9])).
% 1.46/1.30 tff(f28,plain,(
% 1.46/1.30 ~spl0_1 | spl0_2),
% 1.46/1.30 inference(avatar_split_clause,[status(thm)],[f15,f26,f23])).
% 1.46/1.30 tff(f15,plain,(
% 1.46/1.30 (p != $true) | (a = $true)),
% 1.46/1.30 inference(cnf_transformation,[status(thm)],[f9])).
% 1.46/1.30 % SZS output end Proof for DTF2THF_24637
% 1.46/1.30 % (24968)------------------------------
% 1.46/1.30 % (24968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.46/1.30 % (24968)Termination reason: Refutation
% 1.46/1.30
% 1.46/1.30 % (24968)Memory used [KB]: 5500
% 1.46/1.30 % (24968)Time elapsed: 0.003 s
% 1.46/1.30 % (24968)Instructions burned: 1 (million)
% 1.46/1.30 % (24968)------------------------------
% 1.46/1.30 % (24968)------------------------------
% 1.46/1.30 % (24963)Success in time 0.012 s
%------------------------------------------------------------------------------