%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO043-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 5.52s 1.66s
% Output : Refutation 5.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 20 unt; 0 def)
% Number of atoms : 42 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-5 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between(X3,X4,X2)
| ~ between(X0,X1,X2)
| between(X1,inner_pasch(X0,X1,X2,X4,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch1) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between(X3,X4,X2)
| ~ between(X0,X1,X2)
| between(X4,inner_pasch(X0,X1,X2,X4,X3),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch2) ).
fof(f19,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f20,axiom,
between(u,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_x) ).
fof(f21,negated_conjecture,
~ between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_between_v_and_x) ).
fof(f23,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f25,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f4,f23]) ).
fof(f503,plain,
! [X0,X1] :
( ~ between(X0,X1,w)
| between(X1,inner_pasch(X0,X1,w,v,u),u) ),
inference(resolution,[],[f8,f19]) ).
fof(f504,plain,
! [X0,X1] :
( ~ between(X0,X1,x)
| between(X1,inner_pasch(X0,X1,x,w,u),u) ),
inference(resolution,[],[f8,f20]) ).
fof(f508,plain,
! [X0] : between(w,inner_pasch(X0,w,w,v,u),u),
inference(resolution,[],[f503,f25]) ).
fof(f511,plain,
! [X0] : between(x,inner_pasch(X0,x,x,w,u),u),
inference(resolution,[],[f504,f25]) ).
fof(f525,plain,
! [X0,X1] :
( ~ between(X0,X1,w)
| between(v,inner_pasch(X0,X1,w,v,u),X0) ),
inference(resolution,[],[f9,f19]) ).
fof(f526,plain,
! [X0,X1] :
( ~ between(X0,X1,x)
| between(w,inner_pasch(X0,X1,x,w,u),X0) ),
inference(resolution,[],[f9,f20]) ).
fof(f553,plain,
! [X0] : between(v,inner_pasch(X0,w,w,v,u),X0),
inference(resolution,[],[f525,f25]) ).
fof(f559,plain,
v = inner_pasch(v,w,w,v,u),
inference(resolution,[],[f553,f7]) ).
fof(f567,plain,
between(w,v,u),
inference(superposition,[],[f508,f559]) ).
fof(f568,plain,
! [X0,X1] :
( ~ between(X0,X1,u)
| between(v,inner_pasch(X0,X1,u,v,w),X0) ),
inference(resolution,[],[f567,f9]) ).
fof(f570,plain,
! [X0,X1] :
( ~ between(X0,X1,u)
| between(X1,inner_pasch(X0,X1,u,v,w),w) ),
inference(resolution,[],[f567,f8]) ).
fof(f579,plain,
! [X0] : between(w,inner_pasch(X0,x,x,w,u),X0),
inference(resolution,[],[f526,f25]) ).
fof(f586,plain,
w = inner_pasch(w,x,x,w,u),
inference(resolution,[],[f579,f7]) ).
fof(f597,plain,
between(x,w,u),
inference(superposition,[],[f511,f586]) ).
fof(f761,plain,
between(v,inner_pasch(x,w,u,v,w),x),
inference(resolution,[],[f568,f597]) ).
fof(f823,plain,
between(w,inner_pasch(x,w,u,v,w),w),
inference(resolution,[],[f570,f597]) ).
fof(f847,plain,
w = inner_pasch(x,w,u,v,w),
inference(resolution,[],[f823,f7]) ).
fof(f852,plain,
between(v,w,x),
inference(backward_demodulation,[],[f761,f847]) ).
fof(f866,plain,
$false,
inference(forward_subsumption_resolution,[],[f852,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO043-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 06:41:11 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.52/1.66 % (2637917)Input is clausal, will run a generic CNF schedule.
% 5.52/1.66 % (2637923)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2941495033:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.52/1.66 % (2637928)dis-21_1_sil=8000:lcm=predicate:random_seed=3357818119: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)
% 5.52/1.66 % (2637927)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2102918435:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.52/1.66 % (2637922)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=417127062:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.52/1.66 % (2637924)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1626617123:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.52/1.66 % (2637926)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=857820121:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.52/1.66 % (2637925)lrs+10_1_sil=8000:sp=occurrence:random_seed=2721039269:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.52/1.66 % (2637925)Refutation not found, incomplete strategy
% 5.52/1.66 % (2637925)------------------------------
% 5.52/1.66 % (2637925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.66 % (2637926)Refutation not found, incomplete strategy
% 5.52/1.66 % (2637926)------------------------------
% 5.52/1.66 % (2637926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.66 % (2637926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.66 % (2637925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.66 % (2637925)CaDiCaL version: 2.1.3
% 5.52/1.66 % (2637926)CaDiCaL version: 2.1.3
% 5.52/1.66 % (2637925)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.66 % (2637925)Time elapsed: 0.001 s
% 5.52/1.66 % (2637926)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.66 % (2637926)Time elapsed: 0.001 s
% 5.52/1.66 % (2637926)Peak memory usage: 87 MB
% 5.52/1.66 % (2637925)Peak memory usage: 87 MB
% 5.52/1.66 % (2637928)Refutation not found, incomplete strategy
% 5.52/1.66 % (2637928)------------------------------
% 5.52/1.66 % (2637928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.66 % (2637928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.66 % (2637928)CaDiCaL version: 2.1.3
% 5.52/1.66 % (2637928)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.66 % (2637928)Time elapsed: 0.001 s
% 5.52/1.66 % (2637928)Peak memory usage: 87 MB
% 5.52/1.66 % (2637928)Instructions burned: 1 (million)
% 5.52/1.66 % (2637927)Instruction limit reached!
% 5.52/1.66 % (2637927)------------------------------
% 5.52/1.66 % (2637927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.66 % (2637927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.66 % (2637927)CaDiCaL version: 2.1.3
% 5.52/1.66 % (2637927)Termination reason: Instruction limit
% 5.52/1.66 % (2637927)Termination phase: Saturation
% 5.52/1.66 % (2637927)Time elapsed: 0.120 s
% 5.52/1.66 % (2637927)Peak memory usage: 88 MB
% 5.52/1.66 % (2637927)Instructions burned: 180 (million)
% 5.52/1.66 % (2637928)------------------------------
% 5.52/1.66 % (2637928)------------------------------
% 5.52/1.66 % (2637926)------------------------------
% 5.52/1.66 % (2637926)------------------------------
% 5.52/1.66 % (2637925)------------------------------
% 5.52/1.66 % (2637925)------------------------------
% 5.52/1.66 % (2637936)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=4046265041:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.52/1.66 % (2637936)Refutation not found, incomplete strategy
% 5.52/1.66 % (2637936)------------------------------
% 5.52/1.66 % (2637936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.66 % (2637936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.66 % (2637936)CaDiCaL version: 2.1.3
% 5.52/1.66 % (2637936)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.66 % (2637936)Time elapsed: 0.001 s
% 5.52/1.66 % (2637936)Peak memory usage: 87 MB
% 5.52/1.66 % (2637939)lrs+10_64_to=lpo:sil=8000:random_seed=3158867073:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.52/1.66 % (2637939)First to succeed.
% 5.52/1.66 % (2637939)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2637917"
% 5.52/1.66 % (2637938)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1285027853:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 5.52/1.66 % (2637937)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2050128910:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 5.52/1.66 % (2637938)Refutation not found, incomplete strategy
% 5.52/1.66 % (2637938)------------------------------
% 5.52/1.66 % (2637938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.66 % (2637938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.66 % (2637938)CaDiCaL version: 2.1.3
% 5.52/1.66 % (2637938)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.66 % (2637938)Time elapsed: 0.001 s
% 5.52/1.66 % (2637938)Peak memory usage: 87 MB
% 5.52/1.66 % (2637923)Also succeeded, but the first one will report.
% 5.52/1.66 % (2637937)Instruction limit reached!
% 5.52/1.66 % (2637937)------------------------------
% 5.52/1.66 % (2637937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.66 % (2637937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.66 % (2637937)CaDiCaL version: 2.1.3
% 5.52/1.66 % (2637937)Termination reason: Instruction limit
% 5.52/1.66 % (2637937)Termination phase: Saturation
% 5.52/1.66 % (2637937)Time elapsed: 0.093 s
% 5.52/1.66 % (2637937)Peak memory usage: 89 MB
% 5.52/1.66 % (2637937)Instructions burned: 189 (million)
% 5.52/1.66 % (2637939)Refutation found. Thanks to Tanya!
% 5.52/1.66 % SZS status Unsatisfiable for theBenchmark
% 5.52/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 5.52/1.66 % (2637939)------------------------------
% 5.52/1.66 % (2637939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.66 % (2637939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.66 % (2637939)CaDiCaL version: 2.1.3
% 5.52/1.66 % (2637939)Termination reason: Refutation
% 5.52/1.66 % (2637939)Time elapsed: 0.014 s
% 5.52/1.66 % (2637939)Peak memory usage: 88 MB
% 5.52/1.66 % (2637939)Instructions burned: 37 (million)
% 5.52/1.66 % (2637939)------------------------------
% 5.52/1.66 % (2637939)------------------------------
% 5.52/1.66 % (2637917)Success in time 0.716 s
% 5.52/1.66 % Vampire exiting
%------------------------------------------------------------------------------