%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO041-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 09:51:19 AM UTC 2026
% Result : Unsatisfiable 4.24s 1.51s
% Output : Refutation 4.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 10 unt; 0 def)
% Number of atoms : 53 ( 11 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 62 ( 33 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( between(X1,inner_pasch(X0,X1,X2,X4,X3),X3)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch1) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( between(X4,inner_pasch(X0,X1,X2,X4,X3),X0)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch2) ).
fof(f19,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f20,axiom,
between(u,w,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_u_and_v) ).
fof(f21,negated_conjecture,
v != w,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_is_w) ).
fof(f26,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f31,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f4,f26]) ).
fof(f35,plain,
! [X2,X3,X0,X1] :
( inner_pasch(X3,X0,X2,X1,X0) = X0
| ~ between(X3,X0,X2)
| ~ between(X0,X1,X2) ),
inference(resolution,[],[f8,f7]) ).
fof(f38,plain,
! [X2,X3,X0,X1] :
( inner_pasch(X1,X3,X2,X1,X0) = X1
| ~ between(X1,X3,X2)
| ~ between(X0,X1,X2) ),
inference(resolution,[],[f9,f7]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( between(X1,X0,X2)
| ~ between(X0,X1,X3)
| ~ between(X2,X0,X3)
| ~ between(X2,X0,X3)
| ~ between(X0,X1,X3) ),
inference(superposition,[],[f9,f35]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( between(X1,X0,X2)
| ~ between(X0,X1,X3)
| ~ between(X2,X0,X3) ),
inference(duplicate_literal_removal,[],[f53]) ).
fof(f93,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ between(X0,X1,X2)
| ~ between(X1,X0,X2)
| ~ between(X0,X1,X2)
| ~ between(X1,X0,X2) ),
inference(superposition,[],[f35,f38]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(X1,X0,X2) ),
inference(duplicate_literal_removal,[],[f93]) ).
fof(f259,plain,
! [X2,X3,X0,X1] :
( ~ between(X2,X1,X3)
| ~ between(X1,X0,X2)
| ~ between(X1,X0,X3)
| X0 = X1 ),
inference(resolution,[],[f94,f56]) ).
fof(f976,plain,
! [X0] :
( ~ between(v,X0,w)
| ~ between(v,X0,u)
| v = X0 ),
inference(resolution,[],[f259,f19]) ).
fof(f1015,plain,
( ~ between(v,w,u)
| v = w ),
inference(resolution,[],[f976,f31]) ).
fof(f1021,plain,
~ between(v,w,u),
inference(forward_subsumption_resolution,[],[f1015,f21]) ).
fof(f1027,plain,
! [X0] :
( ~ between(w,v,X0)
| ~ between(u,w,X0) ),
inference(resolution,[],[f1021,f56]) ).
fof(f1037,plain,
~ between(u,w,v),
inference(resolution,[],[f1027,f31]) ).
fof(f1043,plain,
$false,
inference(forward_subsumption_resolution,[],[f1037,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO041-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n001.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 06:47:00 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.24/1.51 % (3206076)Input is clausal, will run a generic CNF schedule.
% 4.24/1.51 % (3206084)lrs+10_1_sil=8000:sp=occurrence:random_seed=2505659780:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.24/1.51 % (3206085)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1843942609:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.24/1.51 % (3206082)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2649877834:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.24/1.51 % (3206081)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1805332005:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.24/1.51 % (3206083)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2381645432:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.24/1.51 % (3206087)dis-21_1_sil=8000:lcm=predicate:random_seed=3747208507:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.24/1.51 % (3206086)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=281184125:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.24/1.51 % (3206084)Instruction limit reached!
% 4.24/1.51 % (3206084)------------------------------
% 4.24/1.51 % (3206084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.51 % (3206084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.51 % (3206084)CaDiCaL version: 2.1.3
% 4.24/1.51 % (3206084)Termination reason: Instruction limit
% 4.24/1.51 % (3206084)Termination phase: Saturation
% 4.24/1.51 % (3206084)Time elapsed: 0.038 s
% 4.24/1.51 % (3206084)Peak memory usage: 88 MB
% 4.24/1.51 % (3206084)Instructions burned: 110 (million)
% 4.24/1.51 % (3206085)Instruction limit reached!
% 4.24/1.51 % (3206085)------------------------------
% 4.24/1.51 % (3206085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.51 % (3206085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.51 % (3206085)CaDiCaL version: 2.1.3
% 4.24/1.51 % (3206085)Termination reason: Instruction limit
% 4.24/1.51 % (3206085)Termination phase: Saturation
% 4.24/1.51 % (3206085)Time elapsed: 0.063 s
% 4.24/1.51 % (3206085)Peak memory usage: 88 MB
% 4.24/1.51 % (3206085)Instructions burned: 115 (million)
% 4.24/1.51 % (3206087)Instruction limit reached!
% 4.24/1.51 % (3206087)------------------------------
% 4.24/1.51 % (3206087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.51 % (3206087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.51 % (3206087)CaDiCaL version: 2.1.3
% 4.24/1.51 % (3206087)Termination reason: Instruction limit
% 4.24/1.51 % (3206087)Termination phase: Saturation
% 4.24/1.51 % (3206087)Time elapsed: 0.071 s
% 4.24/1.51 % (3206087)Peak memory usage: 88 MB
% 4.24/1.51 % (3206087)Instructions burned: 117 (million)
% 4.24/1.51 % (3206086)First to succeed.
% 4.24/1.51 % (3206086)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3206076"
% 4.24/1.51 % (3206095)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2537998248:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.24/1.51 % (3206095)Refutation not found, incomplete strategy
% 4.24/1.51 % (3206095)------------------------------
% 4.24/1.51 % (3206095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.51 % (3206095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.51 % (3206095)CaDiCaL version: 2.1.3
% 4.24/1.51 % (3206095)Termination reason: Refutation not found, incomplete strategy
% 4.24/1.51 % (3206095)Time elapsed: 0.001 s
% 4.24/1.51 % (3206095)Peak memory usage: 88 MB
% 4.24/1.51 % (3206095)Instructions burned: 1 (million)
% 4.24/1.51 % (3206096)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1105815605:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.24/1.51 % (3206097)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1711586065:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.24/1.51 % (3206097)Refutation not found, incomplete strategy
% 4.24/1.51 % (3206097)------------------------------
% 4.24/1.51 % (3206097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.51 % (3206097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.51 % (3206097)CaDiCaL version: 2.1.3
% 4.24/1.51 % (3206097)Termination reason: Refutation not found, incomplete strategy
% 4.24/1.51 % (3206097)Time elapsed: 0.001 s
% 4.24/1.51 % (3206097)Peak memory usage: 87 MB
% 4.24/1.51 % (3206095)------------------------------
% 4.24/1.51 % (3206095)------------------------------
% 4.24/1.51 % (3206096)Instruction limit reached!
% 4.24/1.51 % (3206096)------------------------------
% 4.24/1.51 % (3206096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.51 % (3206096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.51 % (3206096)CaDiCaL version: 2.1.3
% 4.24/1.51 % (3206096)Termination reason: Instruction limit
% 4.24/1.51 % (3206096)Termination phase: Saturation
% 4.24/1.51 % (3206096)Time elapsed: 0.108 s
% 4.24/1.51 % (3206096)Peak memory usage: 89 MB
% 4.24/1.51 % (3206096)Instructions burned: 190 (million)
% 4.24/1.51 % (3206086)Refutation found. Thanks to Tanya!
% 4.24/1.51 % SZS status Unsatisfiable for theBenchmark
% 4.24/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 4.24/1.51 % (3206086)------------------------------
% 4.24/1.51 % (3206086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.51 % (3206086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.51 % (3206086)CaDiCaL version: 2.1.3
% 4.24/1.51 % (3206086)Termination reason: Refutation
% 4.24/1.51 % (3206086)Time elapsed: 0.090 s
% 4.24/1.51 % (3206086)Peak memory usage: 89 MB
% 4.24/1.51 % (3206086)Instructions burned: 150 (million)
% 4.24/1.51 % (3206086)------------------------------
% 4.24/1.51 % (3206086)------------------------------
% 4.24/1.51 % (3206076)Success in time 0.519 s
% 4.24/1.51 % Vampire exiting
%------------------------------------------------------------------------------