%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO040-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 09:53:22 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 33 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 17 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',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/Axioms/GEO002-0.ax',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/Axioms/GEO002-0.ax',inner_pasch2) ).
fof(f52,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X1,X2)
| X0 != X2
| between(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b1) ).
fof(f55,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f56,axiom,
between(v,u,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_between_v_and_w) ).
fof(f57,negated_conjecture,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_u_is_v) ).
fof(f67,plain,
! [X2,X3,X1] :
( ~ between(X2,X1,X2)
| between(X3,X1,X2) ),
inference(equality_resolution,[],[f52]) ).
fof(f308,plain,
! [X2,X3,X0,X1] :
( ~ between(X3,X0,X2)
| ~ between(X0,X1,X2)
| inner_pasch(X3,X0,X2,X1,X0) = X0 ),
inference(resolution,[],[f8,f7]) ).
fof(f311,plain,
! [X2,X3,X0,X1,X4] :
( between(X4,inner_pasch(X1,X3,X2,X1,X0),X1)
| ~ between(X1,X3,X2)
| ~ between(X0,X1,X2) ),
inference(resolution,[],[f9,f67]) ).
fof(f548,plain,
! [X0] :
( ~ between(v,X0,w)
| v = inner_pasch(u,v,w,X0,v) ),
inference(resolution,[],[f308,f55]) ).
fof(f686,plain,
v = inner_pasch(u,v,w,u,v),
inference(resolution,[],[f548,f56]) ).
fof(f731,plain,
! [X0] :
( between(X0,v,u)
| ~ between(u,v,w)
| ~ between(v,u,w) ),
inference(superposition,[],[f311,f686]) ).
fof(f732,plain,
! [X0] :
( between(X0,v,u)
| ~ between(v,u,w) ),
inference(forward_subsumption_resolution,[],[f731,f55]) ).
fof(f735,plain,
! [X0] : between(X0,v,u),
inference(forward_subsumption_resolution,[],[f732,f56]) ).
fof(f749,plain,
u = v,
inference(resolution,[],[f735,f7]) ).
fof(f755,plain,
$false,
inference(forward_subsumption_resolution,[],[f749,f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO040-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 06:41:00 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.45 % (2044157)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (2044165)dis+10_1_sil=32000:sp=arity:random_seed=3367300057:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (2044162)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=143938896_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (2044164)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2522665621:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (2044166)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1286995592:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (2044167)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4039641213:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (2044168)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=809140962:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % (2044165) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2044157-2044165"...
% 0.10/0.45 % (2044165)...printing done.
% 0.10/0.45 % (2044165)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (2044165)------------------------------
% 0.10/0.45 % (2044165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (2044165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (2044165)CaDiCaL version: 2.1.3
% 0.10/0.45 % (2044165)Termination reason: Refutation
% 0.10/0.45 % (2044165)Time elapsed: 0.011 s
% 0.10/0.45 % (2044165)Peak memory usage: 12 MB
% 0.10/0.45 % (2044165)Instructions burned: 29 (million)
% 0.10/0.45 % (2044157)Success in time 0.04 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------