%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW215+1 : TPTP v9.3.1. Released v5.2.0.
% 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 : Tue Sep 29 01:39:38 PM UTC 2026
% Result : Theorem 0.09s 0.23s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 14 unt; 0 def)
% Number of atoms : 40 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 14 ~; 13 |; 0 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_H_I2_J) ).
fof(f4,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),v_da____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_H_I5_J) ).
fof(f12,axiom,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__trans) ).
fof(f61,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
<=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| X1 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__real__def) ).
fof(f1278,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1279,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(negated_conjecture,[status(cth)],[f1278]) ).
fof(f1284,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(flattening,[],[f1279]) ).
fof(f1295,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f1296,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(flattening,[],[f1295]) ).
fof(f2547,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(cnf_transformation,[],[f3]) ).
fof(f2548,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),v_da____),
inference(cnf_transformation,[],[f4]) ).
fof(f2557,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ),
inference(cnf_transformation,[],[f1296]) ).
fof(f2623,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f4294,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(cnf_transformation,[],[f1284]) ).
fof(f4500,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(consistent_polarity_flipping,[],[f2547]) ).
fof(f4501,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),v_da____),
inference(consistent_polarity_flipping,[],[f2548]) ).
fof(f4509,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(consistent_polarity_flipping,[],[f2557]) ).
fof(f4573,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(consistent_polarity_flipping,[],[f2623]) ).
fof(f5840,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(consistent_polarity_flipping,[],[f4294]) ).
fof(f7175,plain,
! [X0] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(resolution,[],[f4509,f5840]) ).
fof(f7190,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(resolution,[],[f7175,f4573]) ).
fof(f7874,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(resolution,[],[f7190,f4501]) ).
fof(f8061,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(resolution,[],[f7874,f4573]) ).
fof(f8071,plain,
$false,
inference(forward_subsumption_resolution,[],[f8061,f4500]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWW215+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 13:17:49 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.12 Running first-order model finding
% 0.09/0.12 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
% 0.09/0.23 % (3372828)Will run a generic schedule for satisfiability detection.
% 0.09/0.23 % (3372834)% WARNING: option uhcvi not known.
% 0.09/0.23 % (3372837)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3593069715:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.23 % (3372833)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2636030240_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.23 % (3372834)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1653020680:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.23 % (3372835)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3933957378:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.23 % (3372836)dis+10_1_sil=32000:sp=arity:random_seed=3803236282:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.23 % (3372838)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3581853321:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.23 % (3372839)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3146347732:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.23 % (3372836)Instruction limit reached!
% 0.09/0.23 % (3372836)------------------------------
% 0.09/0.23 % (3372836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.23 % (3372836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.23 % (3372836)CaDiCaL version: 2.1.3
% 0.09/0.23 % (3372836)Termination reason: Instruction limit
% 0.09/0.23 % (3372836)Termination phase: Saturation
% 0.09/0.23 % (3372836)Time elapsed: 0.029 s
% 0.09/0.23 % (3372836)Peak memory usage: 14 MB
% 0.09/0.23 % (3372836)Instructions burned: 105 (million)
% 0.09/0.23 % (3372837)Instruction limit reached!
% 0.09/0.23 % (3372837)------------------------------
% 0.09/0.23 % (3372837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.23 % (3372837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.23 % (3372837)CaDiCaL version: 2.1.3
% 0.09/0.23 % (3372837)Termination reason: Instruction limit
% 0.09/0.23 % (3372837)Termination phase: Saturation
% 0.09/0.23 % (3372837)Time elapsed: 0.030 s
% 0.09/0.23 % (3372837)Peak memory usage: 14 MB
% 0.09/0.23 % (3372837)Instructions burned: 116 (million)
% 0.09/0.23 % (3372838)Instruction limit reached!
% 0.09/0.23 % (3372838)------------------------------
% 0.09/0.23 % (3372838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.23 % (3372838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.23 % (3372838)CaDiCaL version: 2.1.3
% 0.09/0.23 % (3372838)Termination reason: Instruction limit
% 0.09/0.23 % (3372838)Termination phase: Saturation
% 0.09/0.23 % (3372838)Time elapsed: 0.038 s
% 0.09/0.23 % (3372838)Peak memory usage: 15 MB
% 0.09/0.23 % (3372838)Instructions burned: 132 (million)
% 0.09/0.23 % (3372848)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2945607867:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.23 % (3372847)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2092328767:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.09/0.23 % (3372839)Instruction limit reached!
% 0.09/0.23 % (3372839)------------------------------
% 0.09/0.23 % (3372839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.23 % (3372839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.23 % (3372839)CaDiCaL version: 2.1.3
% 0.09/0.23 % (3372839)Termination reason: Instruction limit
% 0.09/0.23 % (3372839)Termination phase: Saturation
% 0.09/0.23 % (3372839)Time elapsed: 0.047 s
% 0.09/0.23 % (3372839)Peak memory usage: 16 MB
% 0.09/0.23 % (3372839)Instructions burned: 160 (million)
% 0.09/0.23 % (3372849)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=594676335:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.09/0.23 % (3372834) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3372828-3372834"...
% 0.09/0.23 % (3372852)ott-21_1_sil=16000:fs=off:random_seed=3138586798:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.09/0.23 % (3372834)...printing done.
% 0.09/0.23 % (3372834)Refutation found. Thanks to Tanya!
% 0.09/0.23 % SZS status Theorem for theBenchmark
% 0.09/0.23 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.23 % (3372834)------------------------------
% 0.09/0.23 % (3372834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.23 % (3372834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.23 % (3372834)CaDiCaL version: 2.1.3
% 0.09/0.23 % (3372834)Termination reason: Refutation
% 0.09/0.23 % (3372834)Time elapsed: 0.058 s
% 0.09/0.23 % (3372834)Peak memory usage: 16 MB
% 0.09/0.23 % (3372834)Instructions burned: 185 (million)
% 0.09/0.23 % (3372828)Success in time 0.101 s
% 0.09/0.23 % Vampire exiting
%------------------------------------------------------------------------------