%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO043-3 : 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 09:51:19 AM UTC 2026
% Result : Unsatisfiable 5.70s 1.78s
% Output : Refutation 5.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 30 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 31 ( 16 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-5 aty)
% Number of variables : 28 ( 28 !; 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(f53,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
fof(f60,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f61,axiom,
between(u,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_u_and_x) ).
fof(f62,negated_conjecture,
~ between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_between_v_and_x) ).
fof(f79,plain,
between(w,v,u),
inference(resolution,[],[f53,f60]) ).
fof(f80,plain,
between(x,w,u),
inference(resolution,[],[f53,f61]) ).
fof(f490,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(f505,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,f490]) ).
fof(f508,plain,
! [X2,X3,X0,X1] :
( ~ between(X0,X1,X3)
| between(X1,X0,X2)
| ~ between(X2,X0,X3) ),
inference(duplicate_literal_removal,[],[f505]) ).
fof(f519,plain,
! [X0] :
( ~ between(X0,w,u)
| between(v,w,X0) ),
inference(resolution,[],[f508,f79]) ).
fof(f530,plain,
between(v,w,x),
inference(resolution,[],[f519,f80]) ).
fof(f531,plain,
$false,
inference(forward_subsumption_resolution,[],[f530,f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO043-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n001.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 06:47:15 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 5.70/1.78 % (3206495)Input is clausal, will run a generic CNF schedule.
% 5.70/1.78 % (3206504)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1488742426:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.70/1.78 % (3206500)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=2047862017:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.70/1.78 % (3206504)Instruction limit reached!
% 5.70/1.78 % (3206504)------------------------------
% 5.70/1.78 % (3206504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.78 % (3206504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.78 % (3206504)CaDiCaL version: 2.1.3
% 5.70/1.78 % (3206504)Termination reason: Instruction limit
% 5.70/1.78 % (3206504)Termination phase: Saturation
% 5.70/1.78 % (3206504)Time elapsed: 0.033 s
% 5.70/1.78 % (3206504)Peak memory usage: 88 MB
% 5.70/1.78 % (3206504)Instructions burned: 116 (million)
% 5.70/1.78 % (3206502)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2734749680:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.70/1.78 % (3206501)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1541967768:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.70/1.78 % (3206503)lrs+10_1_sil=8000:sp=occurrence:random_seed=2849656124:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.70/1.78 % (3206503)Refutation not found, incomplete strategy
% 5.70/1.78 % (3206503)------------------------------
% 5.70/1.78 % (3206503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.78 % (3206503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.78 % (3206503)CaDiCaL version: 2.1.3
% 5.70/1.78 % (3206503)Termination reason: Refutation not found, incomplete strategy
% 5.70/1.78 % (3206503)Time elapsed: 0.001 s
% 5.70/1.78 % (3206503)Peak memory usage: 87 MB
% 5.70/1.78 % (3206506)dis-21_1_sil=8000:lcm=predicate:random_seed=1054794314: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)
% 5.70/1.78 % (3206505)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2831408637:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.70/1.78 % (3206506)Instruction limit reached!
% 5.70/1.78 % (3206506)------------------------------
% 5.70/1.78 % (3206506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.78 % (3206506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.78 % (3206506)CaDiCaL version: 2.1.3
% 5.70/1.78 % (3206506)Termination reason: Instruction limit
% 5.70/1.78 % (3206506)Termination phase: Saturation
% 5.70/1.78 % (3206506)Time elapsed: 0.056 s
% 5.70/1.78 % (3206506)Peak memory usage: 88 MB
% 5.70/1.78 % (3206506)Instructions burned: 118 (million)
% 5.70/1.78 % (3206505)Instruction limit reached!
% 5.70/1.78 % (3206505)------------------------------
% 5.70/1.78 % (3206505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.78 % (3206505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.78 % (3206505)CaDiCaL version: 2.1.3
% 5.70/1.78 % (3206505)Termination reason: Instruction limit
% 5.70/1.78 % (3206505)Termination phase: Saturation
% 5.70/1.78 % (3206505)Time elapsed: 0.057 s
% 5.70/1.78 % (3206505)Peak memory usage: 89 MB
% 5.70/1.78 % (3206505)Instructions burned: 180 (million)
% 5.70/1.78 % (3206512)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=2724834581:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.70/1.78 % (3206512)Refutation not found, incomplete strategy
% 5.70/1.78 % (3206512)------------------------------
% 5.70/1.78 % (3206512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.78 % (3206512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.78 % (3206512)CaDiCaL version: 2.1.3
% 5.70/1.78 % (3206512)Termination reason: Refutation not found, incomplete strategy
% 5.70/1.78 % (3206512)Time elapsed: 0.001 s
% 5.70/1.78 % (3206512)Peak memory usage: 88 MB
% 5.70/1.78 % (3206516)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3777740232:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.70/1.78 % (3206516)Refutation not found, incomplete strategy
% 5.70/1.78 % (3206516)------------------------------
% 5.70/1.78 % (3206516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.78 % (3206516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.78 % (3206516)CaDiCaL version: 2.1.3
% 5.70/1.78 % (3206516)Termination reason: Refutation not found, incomplete strategy
% 5.70/1.78 % (3206516)Time elapsed: 0.001 s
% 5.70/1.78 % (3206516)Peak memory usage: 88 MB
% 5.70/1.78 % (3206516)Instructions burned: 3 (million)
% 5.70/1.78 % (3206515)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3417588456: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)
% 5.70/1.78 % (3206503)------------------------------
% 5.70/1.78 % (3206503)------------------------------
% 5.70/1.78 % (3206516)------------------------------
% 5.70/1.78 % (3206516)------------------------------
% 5.70/1.78 % (3206515)Instruction limit reached!
% 5.70/1.78 % (3206515)------------------------------
% 5.70/1.78 % (3206515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.78 % (3206515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.78 % (3206515)CaDiCaL version: 2.1.3
% 5.70/1.78 % (3206515)Termination reason: Instruction limit
% 5.70/1.78 % (3206515)Termination phase: Saturation
% 5.70/1.78 % (3206515)Time elapsed: 0.103 s
% 5.70/1.78 % (3206515)Peak memory usage: 89 MB
% 5.70/1.78 % (3206515)Instructions burned: 191 (million)
% 5.70/1.78 % (3206512)------------------------------
% 5.70/1.78 % (3206512)------------------------------
% 5.70/1.78 % (3206520)lrs+10_64_to=lpo:sil=8000:random_seed=686398215:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.70/1.78 % (3206521)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3593495819:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.70/1.78 % (3206521)First to succeed.
% 5.70/1.78 % (3206521)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3206495"
% 5.70/1.78 % (3206522)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3967663530:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.70/1.78 % (3206520)Instruction limit reached!
% 5.70/1.78 % (3206520)------------------------------
% 5.70/1.78 % (3206520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.78 % (3206520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.78 % (3206520)CaDiCaL version: 2.1.3
% 5.70/1.78 % (3206520)Termination reason: Instruction limit
% 5.70/1.78 % (3206520)Termination phase: Saturation
% 5.70/1.78 % (3206520)Time elapsed: 0.081 s
% 5.70/1.78 % (3206520)Peak memory usage: 89 MB
% 5.70/1.78 % (3206520)Instructions burned: 126 (million)
% 5.70/1.78 % (3206522)Also succeeded, but the first one will report.
% 5.70/1.78 % (3206524)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2603489847:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 5.70/1.78 % (3206521)Refutation found. Thanks to Tanya!
% 5.70/1.78 % SZS status Unsatisfiable for theBenchmark
% 5.70/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 5.70/1.78 % (3206521)------------------------------
% 5.70/1.78 % (3206521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.78 % (3206521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.78 % (3206521)CaDiCaL version: 2.1.3
% 5.70/1.78 % (3206521)Termination reason: Refutation
% 5.70/1.78 % (3206521)Time elapsed: 0.007 s
% 5.70/1.78 % (3206521)Peak memory usage: 89 MB
% 5.70/1.78 % (3206521)Instructions burned: 19 (million)
% 5.70/1.78 % (3206521)------------------------------
% 5.70/1.78 % (3206521)------------------------------
% 5.70/1.78 % (3206495)Success in time 0.729 s
% 5.70/1.78 % Vampire exiting
%------------------------------------------------------------------------------