%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV013^5 : 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 : n016.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 08:37:28 AM UTC 2026
% Result : Theorem 0.35s 0.45s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 64 ( 22 ~; 18 |; 18 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 30 ( 18 !; 12 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(func_def_0,type,
sK0: a ).
tff(func_def_1,type,
sK1: a ).
tff(func_def_2,type,
sK2: a ).
tff(func_def_3,type,
sK3: a ).
tff(func_def_4,type,
sK4: a ).
tff(func_def_5,type,
sK5: a ).
tff(pred_def_2,type,
sP7: a > $o ).
tff(pred_def_7,type,
sP12: a > $o ).
tff(f1,conjecture,
( ! [X0: a,X1: a,X2: a] :
( ( ( X1 = X2 )
& ( X0 = X1 ) )
=> ( X0 = X2 ) )
& ! [X0: a,X1: a] :
( ( X0 = X1 )
=> ( X1 = X0 ) )
& ! [X0: a] : ( X0 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM511_pme) ).
tff(f2,negated_conjecture,
~ ( ! [X0: a,X1: a,X2: a] :
( ( ( X1 = X2 )
& ( X0 = X1 ) )
=> ( X0 = X2 ) )
& ! [X0: a,X1: a] :
( ( X0 = X1 )
=> ( X1 = X0 ) )
& ! [X0: a] : ( X0 = X0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ! [X0: a,X1: a,X2: a] :
( ( ( X1 = X2 )
& ( X0 = X1 ) )
=> ( X0 = X2 ) )
& ! [X3: a,X4: a] :
( ( X3 = X4 )
=> ( X3 = X4 ) )
& ! [X5: a] : ( X5 = X5 ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
( ? [X0: a,X1: a,X2: a] :
( ( X0 != X2 )
& ( X1 = X2 )
& ( X0 = X1 ) )
| ? [X3: a,X4: a] :
( ( X3 != X4 )
& ( X3 = X4 ) )
| ? [X5: a] : ( X5 != X5 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f5,plain,
( ? [X0: a,X1: a,X2: a] :
( ( X0 != X2 )
& ( X1 = X2 )
& ( X0 = X1 ) )
| ? [X3: a,X4: a] :
( ( X3 != X4 )
& ( X3 = X4 ) )
| ? [X5: a] : ( X5 != X5 ) ),
inference(flattening,[],[f4]) ).
tff(f6,plain,
( ( ( sK0 != sK2 )
& ( sK1 = sK2 )
& ( sK0 = sK1 ) )
| ( ( sK3 != sK4 )
& ( sK3 = sK4 ) )
| ( sK5 != sK5 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f5]) ).
tff(f7,plain,
( ( sK0 = sK1 )
| ( sK3 = sK4 )
| ( sK5 != sK5 ) ),
inference(cnf_transformation,[],[f6]) ).
tff(f8,plain,
( ( sK0 = sK1 )
| ( sK3 != sK4 )
| ( sK5 != sK5 ) ),
inference(cnf_transformation,[],[f6]) ).
tff(f9,plain,
( ( sK1 = sK2 )
| ( sK3 = sK4 )
| ( sK5 != sK5 ) ),
inference(cnf_transformation,[],[f6]) ).
tff(f10,plain,
( ( sK1 = sK2 )
| ( sK3 != sK4 )
| ( sK5 != sK5 ) ),
inference(cnf_transformation,[],[f6]) ).
tff(f11,plain,
( ( sK0 != sK2 )
| ( sK3 = sK4 )
| ( sK5 != sK5 ) ),
inference(cnf_transformation,[],[f6]) ).
tff(f12,plain,
( ( sK0 != sK2 )
| ( sK3 != sK4 )
| ( sK5 != sK5 ) ),
inference(cnf_transformation,[],[f6]) ).
tff(f47,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f12,f11,f10,f9,f8,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEV013^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.29 % Computer : n016.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8046.5625MB
% 0.11/0.29 % OS : Linux 6.8.0-71-generic
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Tue Sep 29 15:05:04 UTC 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.29 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.29/0.35 Running higher-order theorem proving
% 0.29/0.37 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
% 0.35/0.45 % (457725)Detected 'Essentially Bernays–Schönfinkel–Ramsey OR Essentially ground' problem, will run a specialized EPR schedule (with support for satisfiability detection).
% 0.35/0.45 % (457731)fmb+10_1_sas=cadical:random_seed=3828353332:i=150016_2999 on theBenchmark for (2999ds/150016Mi)
% 0.35/0.45 % Detected minimum model sizes of [1]
% 0.35/0.45 % Detected maximum model sizes of [6]
% 0.35/0.45 % TRYING [1]
% 0.35/0.45 % TRYING [2]
% 0.35/0.45 % TRYING [3]
% 0.35/0.45 % TRYING [4]
% 0.35/0.45 % TRYING [5]
% 0.35/0.45 % TRYING [6]
% 0.35/0.45 % (457731) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-457725-457731"...
% 0.35/0.45 % (457731)...printing done.
% 0.35/0.45 % (457731)Refutation found. Thanks to Tanya!
% 0.35/0.45 % SZS status Theorem for theBenchmark
% 0.35/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.35/0.45 % (457731)------------------------------
% 0.35/0.45 % (457731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.45 % (457731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.45 % (457731)CaDiCaL version: 2.1.3
% 0.35/0.45 % (457731)Termination reason: Refutation
% 0.35/0.45 % (457731)Time elapsed: 0.005 s
% 0.35/0.45 % (457731)Peak memory usage: 11 MB
% 0.35/0.45 % (457731)Instructions burned: 4 (million)
% 0.35/0.45 % (457725)Success in time 0.07 s
% 0.35/0.45 % Vampire exiting
%------------------------------------------------------------------------------