%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO025-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 09:53:19 AM UTC 2026
% Result : Unsatisfiable 2.70s 0.96s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 45 ( 14 unt; 3 def)
% Number of atoms : 108 ( 10 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 122 ( 59 ~; 60 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X2,X3,X5)
| ~ equidistant(X1,X4,X3,X5)
| ~ equidistant(X0,X6,X2,X7)
| ~ equidistant(X1,X6,X3,X7)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X1,X2,X3)
| X0 = X1
| equidistant(X4,X6,X5,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
fof(f24,axiom,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X1,X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_2) ).
fof(f41,axiom,
! [X0,X1] : equidistant(X0,X0,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7) ).
fof(f42,axiom,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).
fof(f43,axiom,
equidistant(v,w,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).
fof(f44,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f45,axiom,
between(u1,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_between_u1_and_w1) ).
fof(f46,negated_conjecture,
~ equidistant(u,w,u1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equal_sums) ).
fof(f61,plain,
equidistant(u1,v1,u,v),
inference(resolution,[],[f21,f42]) ).
fof(f86,plain,
equidistant(v,u,v1,u1),
inference(resolution,[],[f24,f42]) ).
fof(f182,plain,
! [X2,X3,X0,X1,X4] :
( ~ equidistant(X2,X0,u1,v1)
| ~ equidistant(X2,X3,u1,X4)
| ~ equidistant(X0,X3,v1,X4)
| ~ between(X2,X0,X1)
| ~ equidistant(X0,X1,v1,w1)
| X0 = X2
| equidistant(X1,X3,w1,X4) ),
inference(resolution,[],[f6,f45]) ).
fof(f467,definition,
( spl0_1
<=> u1 = v1 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f468,plain,
( u1 != v1
| spl0_1 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f469,plain,
( u1 = v1
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f479,definition,
( spl0_4
<=> u = v ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f481,plain,
( u = v
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f493,plain,
( equidistant(u1,v1,u,u)
| ~ spl0_4 ),
inference(superposition,[],[f61,f481]) ).
fof(f518,plain,
! [X2,X0,X1] :
( ~ equidistant(u,X0,u1,X1)
| ~ equidistant(v,X0,v1,X1)
| ~ between(u,v,X2)
| ~ equidistant(v,X2,v1,w1)
| u = v
| equidistant(X2,X0,w1,X1) ),
inference(resolution,[],[f182,f42]) ).
fof(f529,plain,
( equidistant(v,w,u1,w1)
| ~ spl0_1 ),
inference(superposition,[],[f43,f469]) ).
fof(f560,plain,
( equidistant(u,w,u1,w1)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f529,f481]) ).
fof(f562,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f560,f46]) ).
fof(f563,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f650,plain,
( u1 = v1
| ~ spl0_4 ),
inference(resolution,[],[f493,f3]) ).
fof(f660,plain,
( $false
| spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f650,f468]) ).
fof(f661,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f660]) ).
fof(f667,definition,
( spl0_10
<=> ! [X2,X0,X1] :
( ~ equidistant(u,X0,u1,X1)
| equidistant(X2,X0,w1,X1)
| ~ between(u,v,X2)
| ~ equidistant(v,X2,v1,w1)
| ~ equidistant(v,X0,v1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f668,plain,
( ! [X2,X0,X1] :
( ~ between(u,v,X2)
| equidistant(X2,X0,w1,X1)
| ~ equidistant(u,X0,u1,X1)
| ~ equidistant(v,X2,v1,w1)
| ~ equidistant(v,X0,v1,X1) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f669,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f518,f667,f479]) ).
fof(f2164,plain,
( ! [X0,X1] :
( equidistant(w,X0,w1,X1)
| ~ equidistant(u,X0,u1,X1)
| ~ equidistant(v,w,v1,w1)
| ~ equidistant(v,X0,v1,X1) )
| ~ spl0_10 ),
inference(resolution,[],[f668,f44]) ).
fof(f2177,plain,
( ! [X0,X1] :
( ~ equidistant(u,X0,u1,X1)
| equidistant(w,X0,w1,X1)
| ~ equidistant(v,X0,v1,X1) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f2164,f43]) ).
fof(f13141,plain,
( equidistant(w,u,w1,u1)
| ~ equidistant(v,u,v1,u1)
| ~ spl0_10 ),
inference(resolution,[],[f2177,f41]) ).
fof(f13188,plain,
( equidistant(w,u,w1,u1)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f13141,f86]) ).
fof(f13273,plain,
( equidistant(u,w,u1,w1)
| ~ spl0_10 ),
inference(resolution,[],[f13188,f24]) ).
fof(f13278,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f13273,f46]) ).
fof(f13279,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f13278]) ).
cnf(s7,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f563]) ).
cnf(s8,plain,
( spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f661]) ).
cnf(s10,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f669]) ).
cnf(s388,plain,
~ spl0_10,
inference(sat_conversion,[],[f13279]) ).
cnf(s389,plain,
spl0_4,
inference(rat,[],[s10,s388]) ).
cnf(s390,plain,
spl0_1,
inference(rat,[],[s8,s389]) ).
cnf(s391,plain,
$false,
inference(rat,[],[s7,s389,s390]) ).
fof(f13280,plain,
$false,
inference(avatar_sat_refutation,[],[s391]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO025-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 06:36:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 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
% 2.70/0.96 % (3629431)Will run a generic schedule for satisfiability detection.
% 2.70/0.96 % (3629446)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3624023229:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.70/0.96 % (3629441)% WARNING: option uhcvi not known.
% 2.70/0.96 % (3629439)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2062386349_2999 on theBenchmark for (2999ds/0Mi)
% 2.70/0.96 % (3629441)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3439646452:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.70/0.96 % (3629442)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4127182038:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.70/0.96 % (3629443)dis+10_1_sil=32000:sp=arity:random_seed=3534817150:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.70/0.96 % (3629444)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=227503132:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.70/0.96 % (3629445)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2009072062:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.70/0.96 % TRYING [1]
% 2.70/0.96 % TRYING [2]
% 2.70/0.96 % TRYING [3]
% 2.70/0.96 % TRYING [4]
% 2.70/0.96 % (3629446)Instruction limit reached!
% 2.70/0.96 % (3629446)------------------------------
% 2.70/0.96 % (3629446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.96 % (3629446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.96 % (3629446)CaDiCaL version: 2.1.3
% 2.70/0.96 % (3629446)Termination reason: Instruction limit
% 2.70/0.96 % (3629446)Termination phase: Saturation
% 2.70/0.96 % (3629446)Time elapsed: 0.055 s
% 2.70/0.96 % (3629446)Peak memory usage: 13 MB
% 2.70/0.96 % (3629446)Instructions burned: 161 (million)
% 2.70/0.96 % (3629477)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1362350897:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.70/0.96 % TRYING [1]
% 2.70/0.96 % TRYING [2]
% 2.70/0.96 % TRYING [3]
% 2.70/0.96 % (3629443)Instruction limit reached!
% 2.70/0.96 % (3629443)------------------------------
% 2.70/0.96 % (3629443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.96 % (3629443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.96 % (3629443)CaDiCaL version: 2.1.3
% 2.70/0.96 % (3629443)Termination reason: Instruction limit
% 2.70/0.96 % (3629443)Termination phase: Saturation
% 2.70/0.96 % (3629443)Time elapsed: 0.062 s
% 2.70/0.96 % (3629443)Peak memory usage: 12 MB
% 2.70/0.96 % (3629443)Instructions burned: 104 (million)
% 2.70/0.96 % (3629444)Instruction limit reached!
% 2.70/0.96 % (3629444)------------------------------
% 2.70/0.96 % (3629444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.96 % (3629444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.96 % (3629444)CaDiCaL version: 2.1.3
% 2.70/0.96 % (3629444)Termination reason: Instruction limit
% 2.70/0.96 % (3629444)Termination phase: Saturation
% 2.70/0.96 % (3629444)Time elapsed: 0.063 s
% 2.70/0.96 % (3629444)Peak memory usage: 12 MB
% 2.70/0.96 % (3629444)Instructions burned: 117 (million)
% 2.70/0.96 % (3629445)Instruction limit reached!
% 2.70/0.96 % (3629445)------------------------------
% 2.70/0.96 % (3629445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.96 % (3629445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.96 % (3629445)CaDiCaL version: 2.1.3
% 2.70/0.96 % (3629445)Termination reason: Instruction limit
% 2.70/0.96 % (3629445)Termination phase: Saturation
% 2.70/0.96 % (3629445)Time elapsed: 0.082 s
% 2.70/0.96 % (3629445)Peak memory usage: 13 MB
% 2.70/0.96 % (3629445)Instructions burned: 131 (million)
% 2.70/0.96 % (3629484)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=655049930:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.70/0.96 % (3629485)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=4241417675:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.70/0.96 % TRYING [4]
% 2.70/0.96 % (3629495)ott-21_1_sil=16000:fs=off:random_seed=2918774339:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.70/0.96 % (3629484)Instruction limit reached!
% 2.70/0.96 % (3629484)------------------------------
% 2.70/0.96 % (3629484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.96 % (3629484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.96 % (3629484)CaDiCaL version: 2.1.3
% 2.70/0.96 % (3629484)Termination reason: Instruction limit
% 2.70/0.96 % (3629484)Termination phase: Saturation
% 2.70/0.96 % (3629484)Time elapsed: 0.089 s
% 2.70/0.96 % (3629484)Peak memory usage: 12 MB
% 2.70/0.96 % (3629484)Instructions burned: 133 (million)
% 2.70/0.96 % (3629525)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=371764288:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.70/0.96 % (3629495)Instruction limit reached!
% 2.70/0.96 % (3629495)------------------------------
% 2.70/0.96 % (3629495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.96 % (3629495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.96 % (3629495)CaDiCaL version: 2.1.3
% 2.70/0.96 % (3629495)Termination reason: Instruction limit
% 2.70/0.96 % (3629495)Termination phase: Saturation
% 2.70/0.96 % (3629495)Time elapsed: 0.090 s
% 2.70/0.96 % (3629495)Peak memory usage: 12 MB
% 2.70/0.96 % (3629495)Instructions burned: 181 (million)
% 2.70/0.96 % (3629533)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3354800793:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.70/0.96 % (3629477)Instruction limit reached!
% 2.70/0.96 % (3629477)------------------------------
% 2.70/0.96 % (3629477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.96 % (3629477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.96 % (3629477)CaDiCaL version: 2.1.3
% 2.70/0.96 % (3629477)Termination reason: Instruction limit
% 2.70/0.96 % (3629477)Termination phase: Finite model building constraint generation
% 2.70/0.96 % (3629477)Time elapsed: 0.155 s
% 2.70/0.96 % (3629477)Peak memory usage: 44 MB
% 2.70/0.96 % (3629477)Instructions burned: 715 (million)
% 2.70/0.96 % TRYING [1]
% 2.70/0.96 % TRYING [2]
% 2.70/0.96 % TRYING [3]
% 2.70/0.96 % (3629540)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3497800639:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.70/0.96 % TRYING [5]
% 2.70/0.96 % TRYING [4]
% 2.70/0.96 % (3629525)Instruction limit reached!
% 2.70/0.96 % (3629525)------------------------------
% 2.70/0.96 % (3629525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.96 % (3629525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.96 % (3629525)CaDiCaL version: 2.1.3
% 2.70/0.96 % (3629525)Termination reason: Instruction limit
% 2.70/0.96 % (3629525)Termination phase: Saturation
% 2.70/0.96 % (3629525)Time elapsed: 0.288 s
% 2.70/0.96 % (3629525)Peak memory usage: 13 MB
% 2.70/0.96 % (3629525)Instructions burned: 478 (million)
% 2.70/0.96 % (3629598)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3050609562:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 2.70/0.96 % (3629441) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3629431-3629441"...
% 2.70/0.96 % (3629441)...printing done.
% 2.70/0.96 % (3629441)Refutation found. Thanks to Tanya!
% 2.70/0.96 % SZS status Unsatisfiable for theBenchmark
% 2.70/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/0.96 % (3629441)------------------------------
% 2.70/0.96 % (3629441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.96 % (3629441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.96 % (3629441)CaDiCaL version: 2.1.3
% 2.70/0.96 % (3629441)Termination reason: Refutation
% 2.70/0.96 % (3629441)Time elapsed: 0.510 s
% 2.70/0.96 % (3629441)Peak memory usage: 17 MB
% 2.70/0.96 % (3629441)Instructions burned: 807 (million)
% 2.70/0.96 % (3629431)Success in time 0.543 s
% 2.70/0.96 % Vampire exiting
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