%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU923^5 : 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 : n018.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 08:31:57 AM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 31 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 61 ( 11 ~; 5 |; 6 &; 30 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 0 ^; 21 !; 4 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
a: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cF: b > a ).
thf(func_def_2,type,
sK0: b ).
thf(func_def_3,type,
sK1: b ).
thf(f1,conjecture,
( ! [X0: b,X1: b] :
( ( ( cF @ X0 )
= ( cF @ X1 ) )
=> ( X0 = X1 ) )
=> ! [X1: b,X0: b] :
( ( ( cF @ X0 )
= ( cF @ X1 ) )
=> ( X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM54_pme) ).
thf(f2,negated_conjecture,
~ ( ! [X0: b,X1: b] :
( ( ( cF @ X0 )
= ( cF @ X1 ) )
=> ( X0 = X1 ) )
=> ! [X1: b,X0: b] :
( ( ( cF @ X0 )
= ( cF @ X1 ) )
=> ( X0 = X1 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ! [X0: b,X1: b] :
( ( ( cF @ X0 )
= ( cF @ X1 ) )
=> ( X0 = X1 ) )
=> ! [X2: b,X3: b] :
( ( ( cF @ X2 )
= ( cF @ X3 ) )
=> ( X2 = X3 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
( ? [X3: b,X2: b] :
( ( ( cF @ X2 )
= ( cF @ X3 ) )
& ( X2 != X3 ) )
& ! [X0: b,X1: b] :
( ( ( cF @ X0 )
!= ( cF @ X1 ) )
| ( X0 = X1 ) ) ),
inference(ennf_transformation,[],[f3]) ).
thf(f5,plain,
( ? [X0: b,X1: b] :
( ( ( cF @ X0 )
= ( cF @ X1 ) )
& ( X0 != X1 ) )
& ! [X2: b,X3: b] :
( ( ( cF @ X2 )
!= ( cF @ X3 ) )
| ( X2 = X3 ) ) ),
inference(rectify,[],[f4]) ).
thf(f6,plain,
( ( ( cF @ sK0 )
= ( cF @ sK1 ) )
& ( sK1 != sK0 )
& ! [X2: b,X3: b] :
( ( ( cF @ X2 )
!= ( cF @ X3 ) )
| ( X2 = X3 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f5]) ).
thf(f7,plain,
! [X2: b,X3: b] :
( ( ( cF @ X2 )
!= ( cF @ X3 ) )
| ( X2 = X3 ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
sK1 != sK0,
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
( ( cF @ sK0 )
= ( cF @ sK1 ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f11,plain,
! [X0: b] :
( ( ( cF @ X0 )
!= ( cF @ sK0 ) )
| ( sK1 = X0 ) ),
inference(constrained_superposition,[],[f7,f9]) ).
thf(f13,plain,
sK1 = sK0,
inference(equality_resolution,[],[f11]) ).
thf(f14,plain,
$false,
inference(forward_subsumption_resolution,[],[f13,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU923^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n018.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 14:48:41 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 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
% 0.20/0.27 % (181907)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.27 % (181913)lrs+10_16_si=on:nwc=1.5:random_seed=3871861390:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.27 % (181913) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-181907-181913"...
% 0.20/0.27 % (181913)...printing done.
% 0.20/0.27 % (181913)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (181913)------------------------------
% 0.20/0.27 % (181913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (181913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (181913)CaDiCaL version: 2.1.3
% 0.20/0.27 % (181913)Termination reason: Refutation
% 0.20/0.27 % (181913)Time elapsed: 0.001 s
% 0.20/0.27 % (181913)Peak memory usage: 12 MB
% 0.20/0.27 % (181913)Instructions burned: 1 (million)
% 0.20/0.27 % (181907)Success in time 0.023 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------