%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO345^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:47:29 AM UTC 2026
% Result : Theorem 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 17 unt; 0 typ; 7 def)
% Number of atoms : 143 ( 39 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 83 ( 28 ~; 22 |; 0 &; 30 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cH: $o > $i ).
thf(func_def_4,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_7,type,
sF2: $o ).
thf(f1,conjecture,
( ( cH @ $false )
= ( cH
@ ( ( cH @ $false )
= ( cH @ $true ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM615) ).
thf(f2,negated_conjecture,
( ( cH @ $false )
!= ( cH
@ ( ( cH @ $false )
= ( cH @ $true ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
( ( cH @ $false )
!= ( cH
@ ( ( cH @ $false )
= ( cH @ $true ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
( ( cH @ $false )
!= ( cH
@ ( ( cH @ $false )
= ( cH @ $true ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( cH @ $false )
!= ( cH
@ ( ( cH @ $false )
= ( cH @ $true ) ) ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
( ( cH @ $false )
!= ( cH
@ ( ( cH @ $false )
= ( cH @ $true ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f9,definition,
( sF0
= ( cH @ $false ) ),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
thf(f10,definition,
( sF1
= ( cH @ $true ) ),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
thf(f11,definition,
( sF2
= ( sF0 = sF1 ) ),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
thf(f12,definition,
( sF3
= ( cH @ sF2 ) ),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
thf(f13,plain,
sF0 != sF3,
inference(definition_folding,[],[f6,f12,f11,f10,f9,f9]) ).
thf(f14,plain,
( ( sF2 = $true )
| ( ( sF0 = sF1 )
= $false ) ),
inference(iff_proxy_clausification,[],[f11]) ).
thf(f15,plain,
( ( sF2 = $false )
| ( $true
= ( sF0 = sF1 ) ) ),
inference(iff_proxy_clausification,[],[f11]) ).
thf(f16,plain,
( ( sF0 = sF1 )
| ( sF2 = $false ) ),
inference(equality_proxy_clausification,[],[f15]) ).
thf(f17,plain,
( ( sF2 = $true )
| ( sF0 != sF1 ) ),
inference(equality_proxy_clausification,[],[f14]) ).
thf(f19,definition,
( spl4_1
<=> ( sF2 = $false ) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
thf(f21,plain,
( ( sF2 = $false )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f19]) ).
thf(f23,definition,
( spl4_2
<=> ( sF0 = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
thf(f25,plain,
( ( sF0 = sF1 )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f23]) ).
thf(f26,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f16,f23,f19]) ).
thf(f28,definition,
( spl4_3
<=> ( sF2 = $true ) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
thf(f30,plain,
( ( sF2 = $true )
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f28]) ).
thf(f31,plain,
( ~ spl4_2
| spl4_3 ),
inference(avatar_split_clause,[],[f17,f28,f23]) ).
thf(f39,plain,
( ( sF0
= ( cH @ $true ) )
| ~ spl4_2 ),
inference(forward_demodulation,[],[f10,f25]) ).
thf(f40,plain,
( ( ( cH @ $true )
= sF3 )
| ~ spl4_3 ),
inference(forward_demodulation,[],[f12,f30]) ).
thf(f42,plain,
( ( sF0 = sF3 )
| ~ spl4_2
| ~ spl4_3 ),
inference(forward_demodulation,[],[f40,f39]) ).
thf(f43,plain,
( $false
| ~ spl4_2
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f42,f13]) ).
thf(f44,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f43]) ).
thf(f52,plain,
( ( ( cH @ $false )
= sF3 )
| ~ spl4_1 ),
inference(forward_demodulation,[],[f12,f21]) ).
thf(f53,plain,
( ( sF0 = sF3 )
| ~ spl4_1 ),
inference(forward_demodulation,[],[f52,f9]) ).
thf(f54,plain,
( $false
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f53,f13]) ).
thf(f55,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f54]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f26]) ).
cnf(s2,plain,
( ~ spl4_2
| spl4_3 ),
inference(sat_conversion,[],[f31]) ).
cnf(s3,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(sat_conversion,[],[f44]) ).
cnf(s5,plain,
~ spl4_1,
inference(sat_conversion,[],[f55]) ).
cnf(s6,plain,
spl4_2,
inference(rat,[],[s1,s5]) ).
cnf(s7,plain,
~ spl4_3,
inference(rat,[],[s3,s6]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s2,s7,s6]) ).
thf(f56,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO345^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 16:45:41 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.28 % (3623358)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.28 % (3623364)lrs+10_16_si=on:nwc=1.5:random_seed=2663951021:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.28 % (3623364)Refutation not found, incomplete strategy
% 0.21/0.28 % (3623364)------------------------------
% 0.21/0.28 % (3623364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (3623364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (3623364)CaDiCaL version: 2.1.3
% 0.21/0.28 % (3623364)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.28 % (3623364)Time elapsed: 0.0000 s
% 0.21/0.28 % (3623364)Peak memory usage: 12 MB
% 0.21/0.28 % (3623364)------------------------------
% 0.21/0.28 % (3623364)------------------------------
% 0.21/0.28 % (3623369)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.28 % (3623369)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.21/0.28 % (3623368)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2429863549:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.28 % (3623363)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2076074723:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.28 % (3623367)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1898491472:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.28 % (3623365)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4201051626:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.28 % (3623366)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1549630695:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.21/0.28 % (3623369)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3946807003:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.28 % (3623363)Refutation not found, incomplete strategy
% 0.21/0.28 % (3623363)------------------------------
% 0.21/0.28 % (3623363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (3623367)Refutation not found, incomplete strategy
% 0.21/0.28 % (3623367)------------------------------
% 0.21/0.28 % (3623367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (3623363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (3623367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (3623363)CaDiCaL version: 2.1.3
% 0.21/0.28 % (3623363)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.28 % (3623363)Time elapsed: 0.001 s
% 0.21/0.28 % (3623367)CaDiCaL version: 2.1.3
% 0.21/0.28 % (3623363)Peak memory usage: 12 MB
% 0.21/0.28 % (3623367)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.28 % (3623367)Time elapsed: 0.001 s
% 0.21/0.28 % (3623367)Peak memory usage: 11 MB
% 0.21/0.28 % (3623365)Refutation not found, incomplete strategy
% 0.21/0.28 % (3623365)------------------------------
% 0.21/0.28 % (3623365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (3623365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (3623365)CaDiCaL version: 2.1.3
% 0.21/0.28 % (3623365)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.28 % (3623365)Time elapsed: 0.001 s
% 0.21/0.28 % (3623365)Peak memory usage: 12 MB
% 0.21/0.28 % (3623368)Refutation not found, incomplete strategy
% 0.21/0.28 % (3623368)------------------------------
% 0.21/0.28 % (3623368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (3623368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (3623368)CaDiCaL version: 2.1.3
% 0.21/0.28 % (3623368)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.28 % (3623368)Time elapsed: 0.001 s
% 0.21/0.28 % (3623368)Peak memory usage: 12 MB
% 0.21/0.28 % (3623368)Instructions burned: 1 (million)
% 0.21/0.28 % (3623366)Refutation not found, incomplete strategy
% 0.21/0.28 % (3623366)------------------------------
% 0.21/0.28 % (3623366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (3623366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (3623366)CaDiCaL version: 2.1.3
% 0.21/0.28 % (3623366)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.28 % (3623366)Time elapsed: 0.001 s
% 0.21/0.28 % (3623366)Peak memory usage: 12 MB
% 0.21/0.28 % (3623363)------------------------------
% 0.21/0.28 % (3623363)------------------------------
% 0.21/0.28 % (3623367)------------------------------
% 0.21/0.28 % (3623367)------------------------------
% 0.21/0.28 % (3623365)------------------------------
% 0.21/0.28 % (3623365)------------------------------
% 0.21/0.28 % (3623368)------------------------------
% 0.21/0.28 % (3623368)------------------------------
% 0.21/0.28 % (3623366)------------------------------
% 0.21/0.28 % (3623366)------------------------------
% 0.21/0.28 % (3623369) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3623358-3623369"...
% 0.21/0.28 % (3623371)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2791615244:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.28 % (3623369)...printing done.
% 0.21/0.28 % (3623369)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Theorem for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29 % (3623369)------------------------------
% 0.21/0.29 % (3623369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (3623369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (3623369)CaDiCaL version: 2.1.3
% 0.21/0.29 % (3623369)Termination reason: Refutation
% 0.21/0.29 % (3623369)Time elapsed: 0.003 s
% 0.21/0.29 % (3623369)Peak memory usage: 13 MB
% 0.21/0.29 % (3623369)Instructions burned: 2 (million)
% 0.21/0.29 % (3623358)Success in time 0.042 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------