%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO042-3 : 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 : n002.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 2.60s 1.33s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 29 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 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 : 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(X2,X1,X0)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
fof(f59,axiom,
between(u,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_x) ).
fof(f60,axiom,
between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_v_and_x) ).
fof(f61,negated_conjecture,
~ between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_between_u_and_w) ).
fof(f72,plain,
~ between(w,v,u),
inference(resolution,[],[f53,f61]) ).
fof(f138,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(f309,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,f138]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ between(X0,X1,X3)
| between(X1,X0,X2)
| ~ between(X2,X0,X3) ),
inference(duplicate_literal_removal,[],[f309]) ).
fof(f358,plain,
! [X0] :
( ~ between(X0,v,x)
| between(w,v,X0) ),
inference(resolution,[],[f312,f60]) ).
fof(f439,plain,
between(w,v,u),
inference(resolution,[],[f358,f59]) ).
fof(f443,plain,
$false,
inference(forward_subsumption_resolution,[],[f439,f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO042-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n002.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
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 06:43:52 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 2.60/1.33 % (3185620)Input is clausal, will run a generic CNF schedule.
% 2.60/1.33 % (3185630)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1000073912:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.60/1.33 % (3185630)First to succeed.
% 2.60/1.33 % (3185630)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3185620"
% 2.60/1.33 % (3185628)lrs+10_1_sil=8000:sp=occurrence:random_seed=1753792289:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.60/1.33 % (3185626)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3604041949:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.60/1.33 % (3185631)dis-21_1_sil=8000:lcm=predicate:random_seed=699042654: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)
% 2.60/1.33 % (3185625)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=1616218330:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.60/1.33 % (3185627)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1190426023:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.60/1.33 % (3185629)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=586077864:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.60/1.33 % (3185628)Refutation not found, incomplete strategy
% 2.60/1.33 % (3185628)------------------------------
% 2.60/1.33 % (3185628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.33 % (3185628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.33 % (3185628)CaDiCaL version: 2.1.3
% 2.60/1.33 % (3185628)Termination reason: Refutation not found, incomplete strategy
% 2.60/1.33 % (3185628)Time elapsed: 0.001 s
% 2.60/1.33 % (3185628)Peak memory usage: 87 MB
% 2.60/1.33 % (3185631)Instruction limit reached!
% 2.60/1.33 % (3185631)------------------------------
% 2.60/1.33 % (3185631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.33 % (3185631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.33 % (3185631)CaDiCaL version: 2.1.3
% 2.60/1.33 % (3185631)Termination reason: Instruction limit
% 2.60/1.33 % (3185631)Termination phase: Saturation
% 2.60/1.33 % (3185631)Time elapsed: 0.057 s
% 2.60/1.33 % (3185631)Peak memory usage: 88 MB
% 2.60/1.33 % (3185631)Instructions burned: 117 (million)
% 2.60/1.33 % (3185629)Instruction limit reached!
% 2.60/1.33 % (3185629)------------------------------
% 2.60/1.33 % (3185629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.33 % (3185629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.33 % (3185629)CaDiCaL version: 2.1.3
% 2.60/1.33 % (3185629)Termination reason: Instruction limit
% 2.60/1.33 % (3185629)Termination phase: Saturation
% 2.60/1.33 % (3185629)Time elapsed: 0.062 s
% 2.60/1.33 % (3185629)Peak memory usage: 88 MB
% 2.60/1.33 % (3185629)Instructions burned: 116 (million)
% 2.60/1.33 % (3185630)Refutation found. Thanks to Tanya!
% 2.60/1.33 % SZS status Unsatisfiable for theBenchmark
% 2.60/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.60/1.33 % (3185630)------------------------------
% 2.60/1.33 % (3185630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.33 % (3185630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.33 % (3185630)CaDiCaL version: 2.1.3
% 2.60/1.33 % (3185630)Termination reason: Refutation
% 2.60/1.33 % (3185630)Time elapsed: 0.009 s
% 2.60/1.33 % (3185630)Peak memory usage: 89 MB
% 2.60/1.33 % (3185630)Instructions burned: 22 (million)
% 2.60/1.33 % (3185630)------------------------------
% 2.60/1.33 % (3185630)------------------------------
% 2.60/1.33 % (3185620)Success in time 0.282 s
% 2.60/1.33 % Vampire exiting
%------------------------------------------------------------------------------