%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO355^5 : 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 : n012.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 0.09s 0.17s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 15 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 0 |; 3 &; 2 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 20 !; 4 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
sK0: $i > $i ).
thf(func_def_1,type,
sK1: $i > $i ).
thf(f1,conjecture,
( ! [X0: $i,X1: $i] : ( X0 = X1 )
=> ! [X3: $i > $i,X2: $i > $i] : ( X2 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM613) ).
thf(f2,negated_conjecture,
~ ( ! [X0: $i,X1: $i] : ( X0 = X1 )
=> ! [X3: $i > $i,X2: $i > $i] : ( X2 = X3 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ! [X0: $i,X1: $i] : ( X0 = X1 )
=> ! [X3: $i > $i,X2: $i > $i] : ( X2 = X3 ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
( ? [X3: $i > $i,X2: $i > $i] : ( X2 != X3 )
& ! [X0: $i,X1: $i] : ( X0 = X1 ) ),
inference(ennf_transformation,[],[f3]) ).
thf(f5,plain,
( ? [X0: $i > $i,X1: $i > $i] : ( X0 != X1 )
& ! [X2: $i,X3: $i] : ( X2 = X3 ) ),
inference(rectify,[],[f4]) ).
thf(f6,plain,
( ( sK1 != sK0 )
& ! [X2: $i,X3: $i] : ( X2 = X3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f5]) ).
thf(f7,plain,
! [X2: $i,X3: $i] : ( X2 = X3 ),
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
sK1 != sK0,
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
( ( sK0 @ sK2 )
!= ( sK1 @ sK2 ) ),
inference(negative_extensionality,[],[f8]) ).
thf(f10,plain,
$false,
inference(forward_subsumption_resolution,[],[f9,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYO355^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 16:48:03 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.13 Running higher-order theorem proving
% 0.09/0.14 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
% 0.09/0.17 % (364370)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.09/0.17 % (364381)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.09/0.17 % (364381)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
% 0.09/0.17 % (364381)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=2865398962:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.09/0.17 % (364376)lrs+10_16_si=on:nwc=1.5:random_seed=4134317542:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.09/0.17 % (364375)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2097068119:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.09/0.17 % (364380)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3943158784:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.09/0.17 % (364379)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4105501874:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.09/0.17 % (364377)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=626321916:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.09/0.17 % (364378)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=490626221: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)
% 0.09/0.17 % (364376) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-364370-364376"...
% 0.09/0.17 % (364377) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-364370-364377"...
% 0.09/0.17 % (364381) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-364370-364381"...
% 0.09/0.17 % (364380) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-364370-364380"...
% 0.09/0.17 % (364375) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-364370-364375"...
% 0.09/0.17 % (364379) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-364370-364379"...
% 0.09/0.17 % (364378) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-364370-364378"...
% 0.09/0.17 % (364381)...printing done.
% 0.09/0.17 % (364377)...printing done.
% 0.09/0.17 % (364380)...printing done.
% 0.09/0.17 % (364375)...printing done.
% 0.09/0.17 % (364376)...printing done.
% 0.09/0.17 % (364378)...printing done.
% 0.09/0.17 % (364379)...printing done.
% 0.09/0.17 % (364375)Refutation found. Thanks to Tanya!
% 0.09/0.17 % SZS status Theorem for theBenchmark
% 0.09/0.17 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.17 % (364375)------------------------------
% 0.09/0.17 % (364375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.17 % (364375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.17 % (364375)CaDiCaL version: 2.1.3
% 0.09/0.17 % (364375)Termination reason: Refutation
% 0.09/0.17 % (364375)Time elapsed: 0.001 s
% 0.09/0.17 % (364375)Peak memory usage: 12 MB
% 0.09/0.17 % (364370)Success in time 0.026 s
% 0.09/0.17 % Vampire exiting
%------------------------------------------------------------------------------