%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUN054+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 : Tue Sep 29 12:26:59 PM UTC 2026
% Result : Theorem 0.37s 0.55s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 18 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 114 ( 51 ~; 39 |; 24 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 84 ( 64 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
! [X1] :
( ( id(X1,X0)
& r1(X1) )
| ( ~ r1(X1)
& ~ id(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1) ).
fof(f3,axiom,
! [X0,X1] :
? [X2] :
! [X3] :
( ( id(X3,X2)
& r3(X0,X1,X3) )
| ( ~ r3(X0,X1,X3)
& ~ id(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_3) ).
fof(f5,axiom,
! [X0] : id(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
fof(f8,axiom,
! [X0,X1] :
( ~ id(X0,X1)
| ( ~ r1(X0)
& ~ r1(X1) )
| ( r1(X0)
& r1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_8) ).
fof(f12,axiom,
! [X0,X1] :
? [X2] :
( ? [X3] :
( id(X3,X2)
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) )
& ? [X5] :
( r2(X5,X2)
& r3(X0,X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1a) ).
fof(f15,axiom,
! [X0] :
? [X1] :
( id(X1,X0)
& ? [X2] :
( r1(X2)
& r3(X0,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
fof(f19,conjecture,
? [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r3(X2,X1,X0) )
& ? [X3] :
( r1(X3)
& r2(X3,X1) ) )
& ? [X4] :
( id(X0,X4)
& ? [X5] :
( r1(X5)
& r2(X5,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zeroplusoneidone) ).
fof(f20,negated_conjecture,
~ ? [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r3(X2,X1,X0) )
& ? [X3] :
( r1(X3)
& r2(X3,X1) ) )
& ? [X4] :
( id(X0,X4)
& ? [X5] :
( r1(X5)
& r2(X5,X4) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X2)
| ~ r3(X2,X1,X0) )
| ! [X3] :
( ~ r1(X3)
| ~ r2(X3,X1) ) )
| ! [X4] :
( ~ id(X0,X4)
| ! [X5] :
( ~ r1(X5)
| ~ r2(X5,X4) ) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f23,plain,
! [X1] :
( ~ id(X1,sK0)
| r1(X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f26,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| id(X3,sK2(X0,X1)) ),
inference(cnf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f33,plain,
! [X0,X1] :
( ~ id(X0,X1)
| ~ r1(X1)
| r1(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f34,plain,
! [X0,X1] :
( ~ id(X0,X1)
| ~ r1(X0)
| r1(X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f41,plain,
! [X0,X1] : r3(X0,sK7(X0,X1),sK6(X0,X1)),
inference(cnf_transformation,[],[f12]) ).
fof(f42,plain,
! [X0,X1] : r2(X1,sK7(X0,X1)),
inference(cnf_transformation,[],[f12]) ).
fof(f43,plain,
! [X0,X1] : id(sK6(X0,X1),sK4(X0,X1)),
inference(cnf_transformation,[],[f12]) ).
fof(f44,plain,
! [X0,X1] : r3(X0,X1,sK5(X0,X1)),
inference(cnf_transformation,[],[f12]) ).
fof(f45,plain,
! [X0,X1] : r2(sK5(X0,X1),sK4(X0,X1)),
inference(cnf_transformation,[],[f12]) ).
fof(f52,plain,
! [X0] : r3(X0,sK13(X0),sK12(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f53,plain,
! [X0] : r1(sK13(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f54,plain,
! [X0] : id(sK12(X0),X0),
inference(cnf_transformation,[],[f15]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r3(X2,X1,X0)
| ~ r1(X5)
| ~ id(X0,X4)
| ~ r2(X3,X1)
| ~ r1(X3)
| ~ r2(X5,X4)
| ~ r1(X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f69,plain,
r1(sK0),
inference(resolution,[],[f23,f30]) ).
fof(f70,plain,
r1(sK12(sK0)),
inference(resolution,[],[f23,f54]) ).
fof(f168,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2(X4,sK7(X1,X2))
| ~ id(sK6(X1,X2),X3)
| ~ r1(X0)
| ~ r1(X4)
| ~ r2(X0,X3)
| ~ r1(X1) ),
inference(resolution,[],[f41,f64]) ).
fof(f169,plain,
! [X2,X3,X0,X1] :
( ~ id(sK6(X0,X1),X2)
| ~ r1(X3)
| ~ r1(X1)
| ~ r2(X3,X2)
| ~ r1(X0) ),
inference(resolution,[],[f168,f42]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ r2(X0,sK4(X2,X1))
| ~ r1(X1)
| ~ r1(X0)
| ~ r1(X2) ),
inference(resolution,[],[f169,f43]) ).
fof(f181,plain,
! [X0,X1] :
( ~ r1(sK5(X1,X0))
| ~ r1(X0)
| ~ r1(X1) ),
inference(resolution,[],[f170,f45]) ).
fof(f237,plain,
! [X0,X1] : id(sK5(X0,X1),sK2(X0,X1)),
inference(resolution,[],[f26,f44]) ).
fof(f238,plain,
! [X0] : id(sK12(X0),sK2(X0,sK13(X0))),
inference(resolution,[],[f26,f52]) ).
fof(f272,plain,
! [X0,X1] :
( ~ r1(sK2(X0,X1))
| r1(sK5(X0,X1)) ),
inference(resolution,[],[f237,f33]) ).
fof(f274,plain,
! [X0] :
( ~ r1(sK12(X0))
| r1(sK2(X0,sK13(X0))) ),
inference(resolution,[],[f238,f34]) ).
fof(f331,plain,
r1(sK2(sK0,sK13(sK0))),
inference(resolution,[],[f274,f70]) ).
fof(f333,plain,
r1(sK5(sK0,sK13(sK0))),
inference(resolution,[],[f331,f272]) ).
fof(f336,plain,
( ~ r1(sK13(sK0))
| ~ r1(sK0) ),
inference(resolution,[],[f333,f181]) ).
fof(f340,plain,
~ r1(sK0),
inference(forward_subsumption_resolution,[],[f336,f53]) ).
fof(f341,plain,
$false,
inference(forward_subsumption_resolution,[],[f340,f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN054+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 21:51:46 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.42 Running first-order model finding
% 0.09/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.55 % (1208775)Will run a generic schedule for satisfiability detection.
% 0.37/0.55 % (1208781)% WARNING: option uhcvi not known.
% 0.37/0.55 % (1208781)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2154243126:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.37/0.55 % (1208780)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1502925710_3000 on theBenchmark for (3000ds/0Mi)
% 0.37/0.55 % (1208784)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3535757194:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.37/0.55 % (1208782)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3163926468:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.37/0.55 % (1208785)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3199822762:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.37/0.55 % (1208786)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1907521409:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.37/0.55 % (1208783)dis+10_1_sil=32000:sp=arity:random_seed=1160892475:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.37/0.55 % TRYING [1]
% 0.37/0.55 % TRYING [2]
% 0.37/0.55 % TRYING [3]
% 0.37/0.55 % TRYING [4]
% 0.37/0.55 % TRYING [5]
% 0.37/0.55 % TRYING [6]
% 0.37/0.55 % (1208784)Instruction limit reached!
% 0.37/0.55 % (1208784)------------------------------
% 0.37/0.55 % (1208784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.55 % (1208784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.55 % (1208784)CaDiCaL version: 2.1.3
% 0.37/0.55 % (1208784)Termination reason: Instruction limit
% 0.37/0.55 % (1208784)Termination phase: Saturation
% 0.37/0.55 % (1208784)Time elapsed: 0.063 s
% 0.37/0.55 % (1208784)Peak memory usage: 12 MB
% 0.37/0.55 % (1208784)Instructions burned: 116 (million)
% 0.37/0.55 % (1208783)Instruction limit reached!
% 0.37/0.55 % (1208783)------------------------------
% 0.37/0.55 % (1208783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.55 % (1208783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.55 % (1208783)CaDiCaL version: 2.1.3
% 0.37/0.55 % (1208783)Termination reason: Instruction limit
% 0.37/0.55 % (1208783)Termination phase: Saturation
% 0.37/0.55 % (1208783)Time elapsed: 0.065 s
% 0.37/0.55 % (1208783)Peak memory usage: 12 MB
% 0.37/0.55 % (1208783)Instructions burned: 104 (million)
% 0.37/0.55 % (1208785)Instruction limit reached!
% 0.37/0.55 % (1208785)------------------------------
% 0.37/0.55 % (1208785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.55 % (1208785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.55 % (1208785)CaDiCaL version: 2.1.3
% 0.37/0.55 % (1208785)Termination reason: Instruction limit
% 0.37/0.55 % (1208785)Termination phase: Saturation
% 0.37/0.55 % (1208785)Time elapsed: 0.073 s
% 0.37/0.55 % (1208785)Peak memory usage: 13 MB
% 0.37/0.55 % (1208785)Instructions burned: 132 (million)
% 0.37/0.55 % TRYING [7]
% 0.37/0.55 % (1208794)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3135296347:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.37/0.55 % (1208795)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1882244771:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.37/0.55 % TRYING [1]
% 0.37/0.55 % TRYING [2]
% 0.37/0.55 % TRYING [3]
% 0.37/0.55 % (1208796)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3596888876:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.37/0.55 % (1208786)Instruction limit reached!
% 0.37/0.55 % (1208786)------------------------------
% 0.37/0.55 % (1208786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.55 % (1208786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.55 % (1208786)CaDiCaL version: 2.1.3
% 0.37/0.55 % (1208786)Termination reason: Instruction limit
% 0.37/0.55 % (1208786)Termination phase: Saturation
% 0.37/0.55 % (1208786)Time elapsed: 0.094 s
% 0.37/0.55 % (1208786)Peak memory usage: 14 MB
% 0.37/0.55 % (1208786)Instructions burned: 159 (million)
% 0.37/0.55 % TRYING [4]
% 0.37/0.55 % (1208796) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1208775-1208796"...
% 0.37/0.55 % (1208796)...printing done.
% 0.37/0.55 % (1208796)Refutation found. Thanks to Tanya!
% 0.37/0.55 % SZS status Theorem for theBenchmark
% 0.37/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.55 % (1208796)------------------------------
% 0.37/0.55 % (1208796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.55 % (1208796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.55 % (1208796)CaDiCaL version: 2.1.3
% 0.37/0.55 % (1208796)Termination reason: Refutation
% 0.37/0.55 % (1208796)Time elapsed: 0.009 s
% 0.37/0.55 % (1208796)Peak memory usage: 12 MB
% 0.37/0.55 % (1208796)Instructions burned: 12 (million)
% 0.37/0.55 % (1208775)Success in time 0.128 s
% 0.37/0.55 % Vampire exiting
%------------------------------------------------------------------------------