%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRA120+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 : n008.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 10:08:41 AM UTC 2026
% Result : Unsatisfiable 1.75s 0.72s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 39
% Syntax : Number of formulae : 82 ( 73 unt; 0 def)
% Number of atoms : 133 ( 99 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 138 ( 87 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ r(X0,X1)
| r(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rsym) ).
fof(f2,axiom,
! [X0,X1,X2] :
( X0 = X1
| X0 = X2
| X1 = X2
| ~ r(X0,X1)
| ~ r(X0,X2)
| ~ r(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rno3cl) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( X0 = X1
| X0 = X2
| X1 = X2
| X0 = X3
| X1 = X3
| X2 = X3
| r(X0,X1)
| r(X0,X2)
| r(X1,X2)
| r(X0,X3)
| r(X1,X3)
| r(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rno4acl) ).
fof(f4,axiom,
v0 != v1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v0nv1) ).
fof(f5,axiom,
v0 != v2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v0nv2) ).
fof(f6,axiom,
v1 != v2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1nv2) ).
fof(f7,axiom,
v0 != v3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v0nv3) ).
fof(f8,axiom,
v1 != v3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1nv3) ).
fof(f9,axiom,
v2 != v3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2nv3) ).
fof(f10,axiom,
v0 != v4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v0nv4) ).
fof(f11,axiom,
v1 != v4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1nv4) ).
fof(f12,axiom,
v2 != v4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2nv4) ).
fof(f13,axiom,
v3 != v4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3nv4) ).
fof(f14,axiom,
v0 != v5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v0nv5) ).
fof(f15,axiom,
v1 != v5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1nv5) ).
fof(f16,axiom,
v2 != v5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2nv5) ).
fof(f17,axiom,
v3 != v5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3nv5) ).
fof(f18,axiom,
v4 != v5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v4nv5) ).
fof(f19,axiom,
v0 != v6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v0nv6) ).
fof(f20,axiom,
v1 != v6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1nv6) ).
fof(f21,axiom,
v2 != v6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2nv6) ).
fof(f22,axiom,
v3 != v6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3nv6) ).
fof(f23,axiom,
v4 != v6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v4nv6) ).
fof(f24,axiom,
v5 != v6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v5nv6) ).
fof(f25,axiom,
v0 != v7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v0nv7) ).
fof(f26,axiom,
v1 != v7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1nv7) ).
fof(f27,axiom,
v2 != v7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2nv7) ).
fof(f28,axiom,
v3 != v7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3nv7) ).
fof(f29,axiom,
v4 != v7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v4nv7) ).
fof(f30,axiom,
v5 != v7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v5nv7) ).
fof(f31,axiom,
v6 != v7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v6nv7) ).
fof(f32,axiom,
v0 != v8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v0nv8) ).
fof(f33,axiom,
v1 != v8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1nv8) ).
fof(f34,axiom,
v2 != v8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2nv8) ).
fof(f35,axiom,
v3 != v8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3nv8) ).
fof(f36,axiom,
v4 != v8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v4nv8) ).
fof(f37,axiom,
v5 != v8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v5nv8) ).
fof(f38,axiom,
v6 != v8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v6nv8) ).
fof(f39,axiom,
v7 != v8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v7nv8) ).
fof(f40,plain,
! [X0,X1] :
( ~ r(X0,X1)
| r(X1,X0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f41,plain,
! [X2,X0,X1] :
( X0 = X1
| X0 = X2
| X1 = X2
| ~ r(X0,X1)
| ~ r(X0,X2)
| ~ r(X1,X2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f42,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| X0 = X2
| X1 = X2
| X0 = X3
| X1 = X3
| X2 = X3
| r(X0,X1)
| r(X0,X2)
| r(X1,X2)
| r(X0,X3)
| r(X1,X3)
| r(X2,X3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f43,plain,
v0 != v1,
inference(cnf_transformation,[],[f4]) ).
fof(f44,plain,
v0 != v2,
inference(cnf_transformation,[],[f5]) ).
fof(f45,plain,
v1 != v2,
inference(cnf_transformation,[],[f6]) ).
fof(f46,plain,
v0 != v3,
inference(cnf_transformation,[],[f7]) ).
fof(f47,plain,
v1 != v3,
inference(cnf_transformation,[],[f8]) ).
fof(f48,plain,
v2 != v3,
inference(cnf_transformation,[],[f9]) ).
fof(f49,plain,
v0 != v4,
inference(cnf_transformation,[],[f10]) ).
fof(f50,plain,
v1 != v4,
inference(cnf_transformation,[],[f11]) ).
fof(f51,plain,
v2 != v4,
inference(cnf_transformation,[],[f12]) ).
fof(f52,plain,
v3 != v4,
inference(cnf_transformation,[],[f13]) ).
fof(f53,plain,
v0 != v5,
inference(cnf_transformation,[],[f14]) ).
fof(f54,plain,
v1 != v5,
inference(cnf_transformation,[],[f15]) ).
fof(f55,plain,
v2 != v5,
inference(cnf_transformation,[],[f16]) ).
fof(f56,plain,
v3 != v5,
inference(cnf_transformation,[],[f17]) ).
fof(f57,plain,
v4 != v5,
inference(cnf_transformation,[],[f18]) ).
fof(f58,plain,
v0 != v6,
inference(cnf_transformation,[],[f19]) ).
fof(f59,plain,
v1 != v6,
inference(cnf_transformation,[],[f20]) ).
fof(f60,plain,
v2 != v6,
inference(cnf_transformation,[],[f21]) ).
fof(f61,plain,
v3 != v6,
inference(cnf_transformation,[],[f22]) ).
fof(f62,plain,
v4 != v6,
inference(cnf_transformation,[],[f23]) ).
fof(f63,plain,
v5 != v6,
inference(cnf_transformation,[],[f24]) ).
fof(f64,plain,
v0 != v7,
inference(cnf_transformation,[],[f25]) ).
fof(f65,plain,
v1 != v7,
inference(cnf_transformation,[],[f26]) ).
fof(f66,plain,
v2 != v7,
inference(cnf_transformation,[],[f27]) ).
fof(f67,plain,
v3 != v7,
inference(cnf_transformation,[],[f28]) ).
fof(f68,plain,
v4 != v7,
inference(cnf_transformation,[],[f29]) ).
fof(f69,plain,
v5 != v7,
inference(cnf_transformation,[],[f30]) ).
fof(f70,plain,
v6 != v7,
inference(cnf_transformation,[],[f31]) ).
fof(f71,plain,
v0 != v8,
inference(cnf_transformation,[],[f32]) ).
fof(f72,plain,
v1 != v8,
inference(cnf_transformation,[],[f33]) ).
fof(f73,plain,
v2 != v8,
inference(cnf_transformation,[],[f34]) ).
fof(f74,plain,
v3 != v8,
inference(cnf_transformation,[],[f35]) ).
fof(f75,plain,
v4 != v8,
inference(cnf_transformation,[],[f36]) ).
fof(f76,plain,
v5 != v8,
inference(cnf_transformation,[],[f37]) ).
fof(f77,plain,
v6 != v8,
inference(cnf_transformation,[],[f38]) ).
fof(f78,plain,
v7 != v8,
inference(cnf_transformation,[],[f39]) ).
fof(f79,plain,
! [X0,X1] :
( r(X0,X1)
| ~ r(X1,X0) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f80,plain,
! [X2,X0,X1] :
( X0 = X1
| X0 = X2
| X1 = X2
| r(X0,X1)
| r(X0,X2)
| r(X1,X2) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| X0 = X2
| X1 = X2
| X0 = X3
| X1 = X3
| X2 = X3
| ~ r(X0,X1)
| ~ r(X0,X2)
| ~ r(X1,X2)
| ~ r(X0,X3)
| ~ r(X1,X3)
| ~ r(X2,X3) ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f118,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f79,f80,f81,f43,f44,f45,f46,f47,f48,f49,f50,f51,f52,f53,f54,f55,f56,f57,f58,f59,f60,f61,f62,f63,f64,f65,f66,f67,f68,f69,f70,f71,f72,f73,f74,f75,f76,f77,f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA120+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n008.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:00:24 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 1.75/0.72 % (947422)Will run a generic schedule for satisfiability detection.
% 1.75/0.72 % (947427)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4108081840_2999 on theBenchmark for (2999ds/0Mi)
% 1.75/0.72 % Detected minimum model sizes of [9]
% 1.75/0.72 % Detected maximum model sizes of [9]
% 1.75/0.72 % TRYING [9]
% 1.75/0.72 % (947428)% WARNING: option uhcvi not known.
% 1.75/0.72 % (947428)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=838337175:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.75/0.72 % (947429)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3536873568:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.75/0.72 % (947430)dis+10_1_sil=32000:sp=arity:random_seed=848503592:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.75/0.72 % (947432)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4246776598:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.75/0.72 % (947431)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=757388241:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.75/0.72 % (947433)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2643689498:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.75/0.72 % (947430)Instruction limit reached!
% 1.75/0.72 % (947430)------------------------------
% 1.75/0.72 % (947430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.72 % (947430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.72 % (947430)CaDiCaL version: 2.1.3
% 1.75/0.72 % (947430)Termination reason: Instruction limit
% 1.75/0.72 % (947430)Termination phase: Saturation
% 1.75/0.72 % (947430)Time elapsed: 0.037 s
% 1.75/0.72 % (947430)Peak memory usage: 11 MB
% 1.75/0.72 % (947430)Instructions burned: 103 (million)
% 1.75/0.72 % (947431)Instruction limit reached!
% 1.75/0.72 % (947431)------------------------------
% 1.75/0.72 % (947431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.72 % (947431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.72 % (947431)CaDiCaL version: 2.1.3
% 1.75/0.72 % (947431)Termination reason: Instruction limit
% 1.75/0.72 % (947431)Termination phase: Saturation
% 1.75/0.72 % (947431)Time elapsed: 0.044 s
% 1.75/0.72 % (947431)Peak memory usage: 11 MB
% 1.75/0.72 % (947431)Instructions burned: 119 (million)
% 1.75/0.72 % (947432)Instruction limit reached!
% 1.75/0.72 % (947432)------------------------------
% 1.75/0.72 % (947432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.72 % (947432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.72 % (947432)CaDiCaL version: 2.1.3
% 1.75/0.72 % (947432)Termination reason: Instruction limit
% 1.75/0.72 % (947432)Termination phase: Saturation
% 1.75/0.72 % (947432)Time elapsed: 0.046 s
% 1.75/0.72 % (947432)Peak memory usage: 11 MB
% 1.75/0.72 % (947432)Instructions burned: 132 (million)
% 1.75/0.72 % (947433)Instruction limit reached!
% 1.75/0.72 % (947433)------------------------------
% 1.75/0.72 % (947433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.72 % (947433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.72 % (947433)CaDiCaL version: 2.1.3
% 1.75/0.72 % (947433)Termination reason: Instruction limit
% 1.75/0.72 % (947433)Termination phase: Saturation
% 1.75/0.72 % (947433)Time elapsed: 0.055 s
% 1.75/0.72 % (947433)Peak memory usage: 12 MB
% 1.75/0.72 % (947433)Instructions burned: 160 (million)
% 1.75/0.72 % (947441)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1444761299:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.75/0.72 % Detected minimum model sizes of [9]
% 1.75/0.72 % Detected maximum model sizes of [10]
% 1.75/0.72 % TRYING [9]
% 1.75/0.72 % (947442)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4124192528:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.75/0.72 % (947443)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=1321868307:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.75/0.72 % (947445)ott-21_1_sil=16000:fs=off:random_seed=944570155:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.75/0.72 % (947442)Instruction limit reached!
% 1.75/0.72 % (947442)------------------------------
% 1.75/0.72 % (947442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.72 % (947442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.72 % (947442)CaDiCaL version: 2.1.3
% 1.75/0.72 % (947442)Termination reason: Instruction limit
% 1.75/0.72 % (947442)Termination phase: Saturation
% 1.75/0.72 % (947442)Time elapsed: 0.047 s
% 1.75/0.72 % (947442)Peak memory usage: 12 MB
% 1.75/0.72 % (947442)Instructions burned: 132 (million)
% 1.75/0.72 % (947449)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2859385298:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.75/0.72 % (947445)Instruction limit reached!
% 1.75/0.72 % (947445)------------------------------
% 1.75/0.72 % (947445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.72 % (947445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.72 % (947445)CaDiCaL version: 2.1.3
% 1.75/0.72 % (947445)Termination reason: Instruction limit
% 1.75/0.72 % (947445)Termination phase: Saturation
% 1.75/0.72 % (947445)Time elapsed: 0.081 s
% 1.75/0.72 % (947445)Peak memory usage: 13 MB
% 1.75/0.72 % (947445)Instructions burned: 181 (million)
% 1.75/0.72 % (947451)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1034769087:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.75/0.72 % Detected minimum model sizes of [9]
% 1.75/0.72 % Detected maximum model sizes of [9]
% 1.75/0.72 % TRYING [9]
% 1.75/0.72 % (947427) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-947422-947427"...
% 1.75/0.72 % (947427)...printing done.
% 1.75/0.72 % (947427)Refutation found. Thanks to Tanya!
% 1.75/0.72 % SZS status Unsatisfiable for theBenchmark
% 1.75/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.73 % (947427)------------------------------
% 1.75/0.73 % (947427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.73 % (947427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.73 % (947427)CaDiCaL version: 2.1.3
% 1.75/0.73 % (947427)Termination reason: Refutation
% 1.75/0.73 % (947427)Time elapsed: 0.270 s
% 1.75/0.73 % (947427)Peak memory usage: 13 MB
% 1.75/0.73 % (947427)Instructions burned: 850 (million)
% 1.75/0.73 % (947422)Success in time 0.3 s
% 1.75/0.73 % Vampire exiting
%------------------------------------------------------------------------------