%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO062-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:53:27 AM UTC 2026
% Result : Unsatisfiable 2.29s 0.88s
% Output : Refutation 2.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 20 unt; 2 def)
% Number of atoms : 35 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 13 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-4 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X2,X3,X0,X1] : insertion(X0,X1,X2,X3) = extension(extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X0,X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-3.ax',insertion) ).
fof(f45,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| X2 = extension(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_1) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| extension(X0,X1,X1,X2) = X2 ),
inference(reorient_equations,[],[f45]) ).
fof(f54,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
fof(f61,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X2,X3)
| ~ between(X0,X1,X2)
| between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).
fof(f69,axiom,
! [X0,X1] : X0 != extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e3_1) ).
fof(f70,plain,
! [X0,X1] : extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2) != X0,
inference(reorient_equations,[],[f69]) ).
fof(f72,axiom,
! [X0,X1] : between(X0,X1,extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e3_3) ).
fof(f82,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f83,negated_conjecture,
v != insertion(u,w,u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_equals_insertion) ).
fof(f94,plain,
v != extension(extension(w,u,lower_dimension_point_1,lower_dimension_point_2),u,u,v),
inference(definition_unfolding,[],[f83,f20]) ).
fof(f98,definition,
sF0 = extension(w,u,lower_dimension_point_1,lower_dimension_point_2),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f99,plain,
extension(w,u,lower_dimension_point_1,lower_dimension_point_2) = sF0,
inference(reorient_equations,[],[f98]) ).
fof(f100,definition,
sF1 = extension(sF0,u,u,v),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f101,plain,
extension(sF0,u,u,v) = sF1,
inference(reorient_equations,[],[f100]) ).
fof(f102,plain,
v != sF1,
inference(definition_folding,[],[f94,f101,f99]) ).
fof(f106,plain,
u != sF0,
inference(superposition,[],[f70,f99]) ).
fof(f107,plain,
v != extension(sF0,u,u,v),
inference(superposition,[],[f102,f101]) ).
fof(f111,plain,
between(w,v,u),
inference(resolution,[],[f54,f82]) ).
fof(f115,plain,
between(w,u,sF0),
inference(superposition,[],[f72,f99]) ).
fof(f313,plain,
! [X0] :
( ~ between(w,X0,u)
| between(X0,u,sF0) ),
inference(resolution,[],[f61,f115]) ).
fof(f1220,plain,
between(v,u,sF0),
inference(resolution,[],[f313,f111]) ).
fof(f1250,plain,
between(sF0,u,v),
inference(resolution,[],[f1220,f54]) ).
fof(f1305,plain,
( u = sF0
| v = extension(sF0,u,u,v) ),
inference(resolution,[],[f1250,f46]) ).
fof(f1323,plain,
v = extension(sF0,u,u,v),
inference(forward_subsumption_resolution,[],[f1305,f106]) ).
fof(f1326,plain,
$false,
inference(forward_subsumption_resolution,[],[f1323,f107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO062-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.40 % Computer : n008.cluster.edu
% 0.16/0.40 % Model : x86_64 x86_64
% 0.16/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.40 % Memory : 8046.5625MB
% 0.16/0.40 % OS : Linux 6.8.0-71-generic
% 0.16/0.40 % CPULimit : 300
% 0.16/0.40 % WCLimit : 300
% 0.16/0.40 % DateTime : Sun Sep 27 06:47:40 UTC 2026
% 0.16/0.40 % CPUTime :
% 0.16/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.45 Running first-order model finding
% 0.16/0.45 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
% 2.29/0.87 % (876189)Will run a generic schedule for satisfiability detection.
% 2.29/0.87 % (876200)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3551871981:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.29/0.87 % (876195)% WARNING: option uhcvi not known.
% 2.29/0.87 % (876197)dis+10_1_sil=32000:sp=arity:random_seed=3543337340:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.29/0.87 % (876199)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2985949040:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.29/0.87 % (876198)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2946760676:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.29/0.87 % (876194)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2369809321_2999 on theBenchmark for (2999ds/0Mi)
% 2.29/0.87 % (876195)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3259242669:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.29/0.87 % (876196)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2331020516:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.29/0.87 % Detected minimum model sizes of [3]
% 2.29/0.87 % Detected maximum model sizes of [max]
% 2.29/0.87 % TRYING [3]
% 2.29/0.87 % (876200)Instruction limit reached!
% 2.29/0.87 % (876200)------------------------------
% 2.29/0.87 % (876200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.87 % (876200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.87 % (876200)CaDiCaL version: 2.1.3
% 2.29/0.87 % (876200)Termination reason: Instruction limit
% 2.29/0.87 % (876200)Termination phase: Saturation
% 2.29/0.87 % (876200)Time elapsed: 0.078 s
% 2.29/0.87 % (876200)Peak memory usage: 13 MB
% 2.29/0.87 % (876200)Instructions burned: 161 (million)
% 2.29/0.87 % (876210)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2428439003:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.29/0.87 % (876197)Instruction limit reached!
% 2.29/0.87 % (876197)------------------------------
% 2.29/0.87 % (876197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.87 % (876197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.88 % (876197)CaDiCaL version: 2.1.3
% 2.29/0.88 % (876197)Termination reason: Instruction limit
% 2.29/0.88 % (876197)Termination phase: Saturation
% 2.29/0.88 % (876197)Time elapsed: 0.086 s
% 2.29/0.88 % (876197)Peak memory usage: 12 MB
% 2.29/0.88 % (876197)Instructions burned: 104 (million)
% 2.29/0.88 % Detected minimum model sizes of [3]
% 2.29/0.88 % Detected maximum model sizes of [max]
% 2.29/0.88 % TRYING [3]
% 2.29/0.88 % (876198)Instruction limit reached!
% 2.29/0.88 % (876198)------------------------------
% 2.29/0.88 % (876198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.88 % (876198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.88 % (876198)CaDiCaL version: 2.1.3
% 2.29/0.88 % (876198)Termination reason: Instruction limit
% 2.29/0.88 % (876198)Termination phase: Saturation
% 2.29/0.88 % (876198)Time elapsed: 0.104 s
% 2.29/0.88 % (876198)Peak memory usage: 12 MB
% 2.29/0.88 % (876198)Instructions burned: 117 (million)
% 2.29/0.88 % (876213)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1993179721:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.29/0.88 % (876199)Instruction limit reached!
% 2.29/0.88 % (876199)------------------------------
% 2.29/0.88 % (876199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.88 % (876199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.88 % (876199)CaDiCaL version: 2.1.3
% 2.29/0.88 % (876199)Termination reason: Instruction limit
% 2.29/0.88 % (876199)Termination phase: Saturation
% 2.29/0.88 % (876199)Time elapsed: 0.125 s
% 2.29/0.88 % (876199)Peak memory usage: 12 MB
% 2.29/0.88 % (876199)Instructions burned: 132 (million)
% 2.29/0.88 % (876215)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=2744121343:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.29/0.88 % TRYING [4]
% 2.29/0.88 % TRYING [4]
% 2.29/0.88 % (876218)ott-21_1_sil=16000:fs=off:random_seed=1343672631:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.29/0.88 % (876213)Instruction limit reached!
% 2.29/0.88 % (876213)------------------------------
% 2.29/0.88 % (876213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.88 % (876213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.88 % (876213)CaDiCaL version: 2.1.3
% 2.29/0.88 % (876213)Termination reason: Instruction limit
% 2.29/0.88 % (876213)Termination phase: Saturation
% 2.29/0.88 % (876213)Time elapsed: 0.134 s
% 2.29/0.88 % (876213)Peak memory usage: 12 MB
% 2.29/0.88 % (876213)Instructions burned: 131 (million)
% 2.29/0.88 % (876222)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1903794148:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.29/0.88 % (876210)Instruction limit reached!
% 2.29/0.88 % (876210)------------------------------
% 2.29/0.88 % (876210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.88 % (876210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.88 % (876210)CaDiCaL version: 2.1.3
% 2.29/0.88 % (876210)Termination reason: Instruction limit
% 2.29/0.88 % (876210)Termination phase: Finite model building constraint generation
% 2.29/0.88 % (876210)Time elapsed: 0.206 s
% 2.29/0.88 % (876210)Peak memory usage: 30 MB
% 2.29/0.88 % (876210)Instructions burned: 717 (million)
% 2.29/0.88 % (876218)Instruction limit reached!
% 2.29/0.88 % (876218)------------------------------
% 2.29/0.88 % (876218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.88 % (876218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.88 % (876218)CaDiCaL version: 2.1.3
% 2.29/0.88 % (876218)Termination reason: Instruction limit
% 2.29/0.88 % (876218)Termination phase: Saturation
% 2.29/0.88 % (876218)Time elapsed: 0.133 s
% 2.29/0.88 % (876218)Peak memory usage: 12 MB
% 2.29/0.88 % (876218)Instructions burned: 180 (million)
% 2.29/0.88 % (876227)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3916037226:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 2.29/0.88 % (876226)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=817615891:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 2.29/0.88 % Detected minimum model sizes of [3]
% 2.29/0.88 % Detected maximum model sizes of [max]
% 2.29/0.88 % TRYING [3]
% 2.29/0.88 % (876227) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-876189-876227"...
% 2.29/0.88 % (876227)...printing done.
% 2.29/0.88 % (876227)Refutation found. Thanks to Tanya!
% 2.29/0.88 % SZS status Unsatisfiable for theBenchmark
% 2.29/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 2.29/0.88 % (876227)------------------------------
% 2.29/0.88 % (876227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.88 % (876227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.88 % (876227)CaDiCaL version: 2.1.3
% 2.29/0.88 % (876227)Termination reason: Refutation
% 2.29/0.88 % (876227)Time elapsed: 0.054 s
% 2.29/0.88 % (876227)Peak memory usage: 12 MB
% 2.29/0.88 % (876227)Instructions burned: 63 (million)
% 2.29/0.88 % (876189)Success in time 0.414 s
% 2.29/0.88 % Vampire exiting
%------------------------------------------------------------------------------