%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO001-3 : 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 09:51:07 AM UTC 2026
% Result : Unsatisfiable 5.62s 2.01s
% Output : Refutation 5.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 26 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-5 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f51,axiom,
! [X0,X1] : between(X0,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).
fof(f53,axiom,
between(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_between_a_and_c) ).
fof(f54,negated_conjecture,
~ between(c,b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_between_c_and_a) ).
fof(f65,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(f198,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,f65]) ).
fof(f201,plain,
! [X2,X3,X0,X1] :
( between(X1,X0,X2)
| ~ between(X0,X1,X3)
| ~ between(X2,X0,X3) ),
inference(duplicate_literal_removal,[],[f198]) ).
fof(f207,plain,
! [X0] :
( ~ between(b,c,X0)
| ~ between(a,b,X0) ),
inference(resolution,[],[f201,f54]) ).
fof(f216,plain,
~ between(a,b,c),
inference(resolution,[],[f207,f51]) ).
fof(f223,plain,
$false,
inference(forward_subsumption_resolution,[],[f216,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO001-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n001.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 06:35:30 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.44 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
% 5.62/2.01 % (3197480)Input is clausal, will run a generic CNF schedule.
% 5.62/2.01 % (3197493)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3406297749:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.62/2.01 % (3197497)dis-21_1_sil=8000:lcm=predicate:random_seed=268735926: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)
% 5.62/2.01 % (3197496)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3175692439:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.62/2.01 % (3197492)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=438796759:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.62/2.01 % (3197491)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=4008935519:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.62/2.01 % (3197494)lrs+10_1_sil=8000:sp=occurrence:random_seed=2588373070:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.62/2.01 % (3197494)Refutation not found, incomplete strategy
% 5.62/2.01 % (3197494)------------------------------
% 5.62/2.01 % (3197494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/2.01 % (3197494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/2.01 % (3197494)CaDiCaL version: 2.1.3
% 5.62/2.01 % (3197494)Termination reason: Refutation not found, incomplete strategy
% 5.62/2.01 % (3197494)Time elapsed: 0.003 s
% 5.62/2.01 % (3197494)Peak memory usage: 87 MB
% 5.62/2.01 % (3197494)Instructions burned: 1 (million)
% 5.62/2.01 % (3197496)First to succeed.
% 5.62/2.01 % (3197496)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3197480"
% 5.62/2.01 % (3197495)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2301994445:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.62/2.01 % (3197497)Instruction limit reached!
% 5.62/2.01 % (3197497)------------------------------
% 5.62/2.01 % (3197497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/2.01 % (3197497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/2.01 % (3197497)CaDiCaL version: 2.1.3
% 5.62/2.01 % (3197497)Termination reason: Instruction limit
% 5.62/2.01 % (3197497)Termination phase: Saturation
% 5.62/2.01 % (3197497)Time elapsed: 0.096 s
% 5.62/2.01 % (3197497)Peak memory usage: 88 MB
% 5.62/2.01 % (3197497)Instructions burned: 117 (million)
% 5.62/2.01 % (3197495)Instruction limit reached!
% 5.62/2.01 % (3197495)------------------------------
% 5.62/2.01 % (3197495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/2.01 % (3197495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/2.01 % (3197495)CaDiCaL version: 2.1.3
% 5.62/2.01 % (3197495)Termination reason: Instruction limit
% 5.62/2.01 % (3197495)Termination phase: Saturation
% 5.62/2.01 % (3197495)Time elapsed: 0.102 s
% 5.62/2.01 % (3197495)Peak memory usage: 88 MB
% 5.62/2.01 % (3197495)Instructions burned: 115 (million)
% 5.62/2.01 % (3197505)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=2598322532:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.62/2.01 % (3197505)Refutation not found, incomplete strategy
% 5.62/2.01 % (3197505)------------------------------
% 5.62/2.01 % (3197505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/2.01 % (3197505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/2.01 % (3197505)CaDiCaL version: 2.1.3
% 5.62/2.01 % (3197505)Termination reason: Refutation not found, incomplete strategy
% 5.62/2.01 % (3197505)Time elapsed: 0.002 s
% 5.62/2.01 % (3197505)Peak memory usage: 87 MB
% 5.62/2.01 % (3197494)------------------------------
% 5.62/2.01 % (3197494)------------------------------
% 5.62/2.01 % (3197496)Refutation found. Thanks to Tanya!
% 5.62/2.01 % SZS status Unsatisfiable for theBenchmark
% 5.62/2.01 % SZS output start Proof for theBenchmark
% See solution above
% 5.62/2.01 % (3197496)------------------------------
% 5.62/2.01 % (3197496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/2.01 % (3197496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/2.01 % (3197496)CaDiCaL version: 2.1.3
% 5.62/2.01 % (3197496)Termination reason: Refutation
% 5.62/2.01 % (3197496)Time elapsed: 0.013 s
% 5.62/2.01 % (3197496)Peak memory usage: 88 MB
% 5.62/2.01 % (3197496)Instructions burned: 10 (million)
% 5.62/2.01 % (3197496)------------------------------
% 5.62/2.01 % (3197496)------------------------------
% 5.62/2.01 % (3197480)Success in time 0.669 s
% 5.62/2.01 % Vampire exiting
%------------------------------------------------------------------------------