%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYP117^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 08:50:42 AM UTC 2026
% Result : Theorem 0.09s 0.16s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 10 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 20 ( 6 ~; 0 |; 0 &; 14 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 2 con; 0-4 aty)
% Number of variables : 13 ( 4 ^; 7 !; 2 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
sK0: $tType ).
thf(func_def_0,type,
i:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_2,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_3,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_4,type,
sK1: sK0 ).
thf(f1,axiom,
! [X0: $tType] :
( i
@ ( X0
= ( ^ [X1: X0] : X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','trivia/I_DEF_') ).
thf(f2,conjecture,
! [X0: $tType,X1: X0] :
( ( i @ X0 @ X1 )
= X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','trivia/I_THM_') ).
thf(f3,negated_conjecture,
~ ! [X0: $tType,X1: X0] :
( ( i @ X0 @ X1 )
= X1 ),
inference(negated_conjecture,[status(cth)],[f2]) ).
thf(f4,plain,
! [X0: $tType] :
( i
@ ( X0
= ( ^ [Y0: X0] : Y0 ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f5,plain,
? [X0: $tType,X1: X0] :
( ( i @ X0 @ X1 )
!= X1 ),
inference(ennf_transformation,[],[f3]) ).
thf(f6,plain,
( sK1
!= ( i @ sK0 @ sK1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f5]) ).
thf(f7,plain,
! [X0: $tType] :
( i
@ ( X0
= ( ^ [Y0: X0] : Y0 ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f8,plain,
( sK1
!= ( i @ sK0 @ sK1 ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
( sK1
!= ( ^ [Y0: sK0] : Y0
@ sK1 ) ),
inference(definition_unfolding,[],[f8,f7]) ).
thf(f10,plain,
sK1 != sK1,
inference(beta-eta_normalization,[],[f9]) ).
thf(f11,plain,
$false,
inference(trivial_inequality_removal,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYP117^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 17:28:48 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.12 Running first-order model finding
% 0.09/0.13 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.16 % (422566)Will run a generic schedule for satisfiability detection.
% 0.09/0.16 % (422582)% WARNING: option uhcvi not known.
% 0.09/0.16 % (422581)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4239349177_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.16 % (422583)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3893254425:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.16 % (422584)dis+10_1_sil=32000:sp=arity:random_seed=3138377065:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.16 % (422586)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1458474290:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.16 % (422582)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3980113110:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.16 % Exception at run slice level
% 0.09/0.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.09/0.16 % (422582)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.16 % (422584) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-422566-422584"...
% 0.09/0.16 % (422582)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.09/0.16 % (422583) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-422566-422583"...
% 0.09/0.16 % (422586) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-422566-422586"...
% 0.09/0.16 % (422582) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-422566-422582"...
% 0.09/0.16 % (422584)...printing done.
% 0.09/0.16 % (422583)...printing done.
% 0.09/0.16 % (422586)...printing done.
% 0.09/0.16 % (422582)...printing done.
% 0.09/0.16 % (422586)Refutation found. Thanks to Tanya!
% 0.09/0.16 % SZS status Theorem for theBenchmark
% 0.09/0.16 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.16 % (422586)------------------------------
% 0.09/0.16 % (422586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.16 % (422586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.16 % (422586)CaDiCaL version: 2.1.3
% 0.09/0.16 % (422586)Termination reason: Refutation
% 0.09/0.16 % (422586)Time elapsed: 0.0000 s
% 0.09/0.16 % (422586)Peak memory usage: 12 MB
% 0.09/0.16 % (422566)Success in time 0.026 s
% 0.09/0.16 % Vampire exiting
%------------------------------------------------------------------------------