%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO350^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 08:47:30 AM UTC 2026
% Result : Theorem 0.22s 0.29s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 19 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 53 ( 10 ~; 1 |; 4 &; 30 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 0 ^; 7 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
g: $i > $i ).
thf(func_def_1,type,
p: ( $i > $i ) > $o ).
thf(func_def_2,type,
f: $i > $i ).
thf(f1,conjecture,
( ! [X0: $i] :
( ( f @ X0 )
= ( g @ X0 ) )
=> ( ( p @ f )
=> ( p @ g ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cE1FUNC) ).
thf(f2,negated_conjecture,
~ ( ! [X0: $i] :
( ( f @ X0 )
= ( g @ X0 ) )
=> ( ( p @ f )
=> ( p @ g ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ! [X0: $i] :
( ( f @ X0 )
= ( g @ X0 ) )
=> ( ( p @ f )
=> ( p @ g ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ! [X0: $i] :
( ( f @ X0 )
= ( g @ X0 ) )
=> ( ( ( p @ f )
= $true )
=> ( ( p @ g )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ( p @ g )
!= $true )
& ( ( p @ f )
= $true )
& ! [X0: $i] :
( ( f @ X0 )
= ( g @ X0 ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ! [X0: $i] :
( ( f @ X0 )
= ( g @ X0 ) )
& ( ( p @ f )
= $true )
& ( ( p @ g )
!= $true ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
( ( p @ g )
!= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
( ( p @ f )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
! [X0: $i] :
( ( f @ X0 )
= ( g @ X0 ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f12,plain,
( ( $true != $true )
| ( f != g ) ),
inference(constrained_superposition,[],[f7,f8]) ).
thf(f13,plain,
f != g,
inference(trivial_inequality_removal,[],[f12]) ).
thf(f14,plain,
( ( g @ sK0 )
!= ( f @ sK0 ) ),
inference(negative_extensionality,[],[f13]) ).
thf(f15,plain,
$false,
inference(forward_subsumption_resolution,[],[f14,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO350^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n010.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 16:48:33 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.29 % (3122873)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.29 % (3122882)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1984778263:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.29 % (3122882)Refutation not found, incomplete strategy
% 0.22/0.29 % (3122882)------------------------------
% 0.22/0.29 % (3122882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (3122882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (3122882)CaDiCaL version: 2.1.3
% 0.22/0.29 % (3122882)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.29 % (3122882)Time elapsed: 0.001 s
% 0.22/0.29 % (3122882)Peak memory usage: 11 MB
% 0.22/0.29 % (3122882)------------------------------
% 0.22/0.29 % (3122882)------------------------------
% 0.22/0.29 % (3122884)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.29 % (3122884)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
% 0.22/0.29 % (3122878)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1468136357:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.29 % (3122879)lrs+10_16_si=on:nwc=1.5:random_seed=302785720:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.29 % (3122880)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4146373244:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.29 % (3122883)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1232353816:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.29 % (3122881)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=102689446: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)
% 0.22/0.29 % (3122878)Refutation not found, incomplete strategy
% 0.22/0.29 % (3122878)------------------------------
% 0.22/0.29 % (3122878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (3122884)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=3040923678:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.29 % (3122878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (3122878)CaDiCaL version: 2.1.3
% 0.22/0.29 % (3122878)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.29 % (3122878)Time elapsed: 0.001 s
% 0.22/0.29 % (3122878)Peak memory usage: 12 MB
% 0.22/0.29 % (3122880)Refutation not found, incomplete strategy
% 0.22/0.29 % (3122880)------------------------------
% 0.22/0.29 % (3122880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (3122879) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3122873-3122879"...
% 0.22/0.29 % (3122880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (3122880)CaDiCaL version: 2.1.3
% 0.22/0.29 % (3122880)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.29 % (3122880)Time elapsed: 0.001 s
% 0.22/0.29 % (3122880)Peak memory usage: 12 MB
% 0.22/0.29 % (3122883) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3122873-3122883"...
% 0.22/0.29 % (3122878)------------------------------
% 0.22/0.29 % (3122878)------------------------------
% 0.22/0.29 % (3122881)Refutation not found, incomplete strategy
% 0.22/0.29 % (3122881)------------------------------
% 0.22/0.29 % (3122881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (3122881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (3122881)CaDiCaL version: 2.1.3
% 0.22/0.29 % (3122881)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.29 % (3122881)Time elapsed: 0.001 s
% 0.22/0.29 % (3122881)Peak memory usage: 12 MB
% 0.22/0.29 % (3122880)------------------------------
% 0.22/0.29 % (3122880)------------------------------
% 0.22/0.29 % (3122879)...printing done.
% 0.22/0.29 % (3122883)...printing done.
% 0.22/0.29 % (3122881)------------------------------
% 0.22/0.29 % (3122881)------------------------------
% 0.22/0.29 % (3122884)Refutation not found, incomplete strategy
% 0.22/0.29 % (3122884)------------------------------
% 0.22/0.29 % (3122884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (3122884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (3122884)CaDiCaL version: 2.1.3
% 0.22/0.29 % (3122884)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.29 % (3122884)Time elapsed: 0.002 s
% 0.22/0.29 % (3122884)Peak memory usage: 12 MB
% 0.22/0.29 % (3122884)Instructions burned: 2 (million)
% 0.22/0.29 % (3122879)Refutation found. Thanks to Tanya!
% 0.22/0.29 % SZS status Theorem for theBenchmark
% 0.22/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.29 % (3122879)------------------------------
% 0.22/0.29 % (3122879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (3122879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (3122879)CaDiCaL version: 2.1.3
% 0.22/0.29 % (3122879)Termination reason: Refutation
% 0.22/0.29 % (3122879)Time elapsed: 0.001 s
% 0.22/0.29 % (3122879)Peak memory usage: 12 MB
% 0.22/0.29 % (3122879)Instructions burned: 1 (million)
% 0.22/0.29 % (3122873)Success in time 0.04 s
% 0.22/0.29 % Vampire exiting
%------------------------------------------------------------------------------