%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO046-3 : 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 09:51:20 AM UTC 2026
% Result : Unsatisfiable 5.48s 1.77s
% Output : Refutation 5.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 10 unt; 0 def)
% Number of atoms : 19 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,axiom,
! [X2,X0,X1] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
fof(f60,axiom,
! [X2,X3,X0,X1] :
( between(X1,X2,X3)
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b5) ).
fof(f62,axiom,
! [X2,X3,X0,X1] :
( between(X0,X1,X3)
| ~ between(X1,X2,X3)
| ~ between(X0,X1,X2)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b7) ).
fof(f63,axiom,
between(u,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_x) ).
fof(f64,axiom,
between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_v_and_x) ).
fof(f65,negated_conjecture,
~ between(u,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_between_u_and_x) ).
fof(f75,plain,
~ between(x,w,u),
inference(unit_resulting_resolution,[],[f53,f65]) ).
fof(f119,plain,
between(x,v,u),
inference(unit_resulting_resolution,[],[f53,f63]) ).
fof(f204,plain,
between(x,w,v),
inference(unit_resulting_resolution,[],[f53,f64]) ).
fof(f382,plain,
between(w,v,u),
inference(unit_resulting_resolution,[],[f60,f119,f204]) ).
fof(f480,plain,
v = w,
inference(unit_resulting_resolution,[],[f62,f204,f75,f382]) ).
fof(f505,plain,
~ between(x,v,u),
inference(backward_demodulation,[],[f75,f480]) ).
fof(f585,plain,
$false,
inference(forward_subsumption_resolution,[],[f505,f119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO046-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n001.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 06:48:00 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 5.48/1.77 % (3207763)Input is clausal, will run a generic CNF schedule.
% 5.48/1.77 % (3207768)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=2441250655:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.48/1.77 % (3207769)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2311063376:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.48/1.77 % (3207773)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4159489611:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.48/1.77 % (3207771)lrs+10_1_sil=8000:sp=occurrence:random_seed=2336635425:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.48/1.77 % (3207774)dis-21_1_sil=8000:lcm=predicate:random_seed=2403811544: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)
% 5.48/1.77 % (3207772)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3885245611:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.48/1.77 % (3207770)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1229935156:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.48/1.77 % (3207771)Refutation not found, incomplete strategy
% 5.48/1.77 % (3207771)------------------------------
% 5.48/1.77 % (3207771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.77 % (3207771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.77 % (3207771)CaDiCaL version: 2.1.3
% 5.48/1.77 % (3207771)Termination reason: Refutation not found, incomplete strategy
% 5.48/1.77 % (3207771)Time elapsed: 0.001 s
% 5.48/1.77 % (3207771)Peak memory usage: 87 MB
% 5.48/1.77 % (3207771)Instructions burned: 1 (million)
% 5.48/1.77 % (3207772)Instruction limit reached!
% 5.48/1.77 % (3207772)------------------------------
% 5.48/1.77 % (3207772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.77 % (3207772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.77 % (3207772)CaDiCaL version: 2.1.3
% 5.48/1.77 % (3207772)Termination reason: Instruction limit
% 5.48/1.77 % (3207772)Termination phase: Saturation
% 5.48/1.77 % (3207772)Time elapsed: 0.063 s
% 5.48/1.77 % (3207772)Peak memory usage: 88 MB
% 5.48/1.77 % (3207772)Instructions burned: 114 (million)
% 5.48/1.77 % (3207774)Instruction limit reached!
% 5.48/1.77 % (3207774)------------------------------
% 5.48/1.77 % (3207774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.77 % (3207774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.77 % (3207774)CaDiCaL version: 2.1.3
% 5.48/1.77 % (3207774)Termination reason: Instruction limit
% 5.48/1.77 % (3207774)Termination phase: Saturation
% 5.48/1.77 % (3207774)Time elapsed: 0.071 s
% 5.48/1.77 % (3207774)Peak memory usage: 89 MB
% 5.48/1.77 % (3207774)Instructions burned: 118 (million)
% 5.48/1.77 % (3207773)Instruction limit reached!
% 5.48/1.77 % (3207773)------------------------------
% 5.48/1.77 % (3207773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.77 % (3207773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.77 % (3207773)CaDiCaL version: 2.1.3
% 5.48/1.77 % (3207773)Termination reason: Instruction limit
% 5.48/1.77 % (3207773)Termination phase: Saturation
% 5.48/1.77 % (3207773)Time elapsed: 0.114 s
% 5.48/1.77 % (3207773)Peak memory usage: 89 MB
% 5.48/1.77 % (3207773)Instructions burned: 180 (million)
% 5.48/1.77 % (3207782)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=4285474032:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.48/1.77 % (3207783)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=284199155: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)
% 5.48/1.77 % (3207782)Refutation not found, incomplete strategy
% 5.48/1.77 % (3207782)------------------------------
% 5.48/1.77 % (3207782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.77 % (3207782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.77 % (3207782)CaDiCaL version: 2.1.3
% 5.48/1.77 % (3207782)Termination reason: Refutation not found, incomplete strategy
% 5.48/1.77 % (3207782)Time elapsed: 0.002 s
% 5.48/1.77 % (3207782)Peak memory usage: 88 MB
% 5.48/1.77 % (3207782)Instructions burned: 1 (million)
% 5.48/1.77 % (3207771)------------------------------
% 5.48/1.77 % (3207771)------------------------------
% 5.48/1.77 % (3207783)First to succeed.
% 5.48/1.77 % (3207783)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3207763"
% 5.48/1.77 % (3207784)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2011408241:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.48/1.77 % (3207768)Also succeeded, but the first one will report.
% 5.48/1.77 % (3207784)Also succeeded, but the first one will report.
% 5.48/1.77 % (3207787)lrs+10_64_to=lpo:sil=8000:random_seed=2801592571:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.48/1.77 % (3207782)------------------------------
% 5.48/1.77 % (3207782)------------------------------
% 5.48/1.77 % (3207787)Also succeeded, but the first one will report.
% 5.48/1.77 % (3207783)Refutation found. Thanks to Tanya!
% 5.48/1.77 % SZS status Unsatisfiable for theBenchmark
% 5.48/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 5.48/1.77 % (3207783)------------------------------
% 5.48/1.77 % (3207783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.77 % (3207783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.77 % (3207783)CaDiCaL version: 2.1.3
% 5.48/1.77 % (3207783)Termination reason: Refutation
% 5.48/1.77 % (3207783)Time elapsed: 0.021 s
% 5.48/1.77 % (3207783)Peak memory usage: 89 MB
% 5.48/1.77 % (3207783)Instructions burned: 36 (million)
% 5.48/1.77 % (3207783)------------------------------
% 5.48/1.77 % (3207783)------------------------------
% 5.48/1.77 % (3207763)Success in time 0.697 s
% 5.48/1.77 % Vampire exiting
%------------------------------------------------------------------------------