%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO040-2 : 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 : n020.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 0.12s 0.47s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 32 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 16 ~; 12 |; 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 : 28 ( 28 !; 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(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X1,inner_pasch(X0,X1,X2,X4,X3),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X4,inner_pasch(X0,X1,X2,X4,X3),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
fof(f19,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f20,axiom,
between(v,u,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_between_v_and_w) ).
fof(f21,negated_conjecture,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_u_is_v) ).
fof(f28,plain,
! [X0,X1] :
( between(X0,X1,X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4] :
( between(X3,X4,X2)
| between(X0,X1,X2)
| ~ between(X1,inner_pasch(X0,X1,X2,X4,X3),X3) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f30,plain,
! [X2,X3,X0,X1,X4] :
( between(X3,X4,X2)
| between(X0,X1,X2)
| ~ between(X4,inner_pasch(X0,X1,X2,X4,X3),X0) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f40,plain,
~ between(u,v,w),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f41,plain,
~ between(v,u,w),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f60,plain,
! [X0,X1] :
( between(X0,X1,w)
| ~ between(X1,inner_pasch(X0,X1,w,v,u),u) ),
inference(resolution,[],[f29,f40]) ).
fof(f124,plain,
~ between(u,inner_pasch(v,u,w,v,u),u),
inference(resolution,[],[f60,f41]) ).
fof(f127,plain,
u = inner_pasch(v,u,w,v,u),
inference(resolution,[],[f124,f28]) ).
fof(f134,plain,
! [X0,X1] :
( between(X0,X1,w)
| ~ between(v,inner_pasch(X0,X1,w,v,u),X0) ),
inference(resolution,[],[f30,f40]) ).
fof(f150,plain,
~ between(v,inner_pasch(v,u,w,v,u),v),
inference(resolution,[],[f134,f41]) ).
fof(f155,plain,
~ between(v,u,v),
inference(superposition,[],[f150,f127]) ).
fof(f156,plain,
u = v,
inference(resolution,[],[f155,f28]) ).
fof(f159,plain,
u != u,
inference(superposition,[],[f21,f156]) ).
fof(f172,plain,
$false,
inference(trivial_inequality_removal,[],[f159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO040-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n020.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
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 06:42:04 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.12/0.47 % (3051644)Will run a generic schedule for satisfiability detection.
% 0.12/0.47 % (3051653)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3166371533:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.47 % (3051650)% WARNING: option uhcvi not known.
% 0.12/0.47 % (3051650)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=281051275:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.47 % (3051649)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4233988345_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.47 % (3051651)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3274127135:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.47 % (3051652)dis+10_1_sil=32000:sp=arity:random_seed=3848833563:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.47 % (3051655)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4123871095:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.47 % (3051654)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1617009441:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.47 % TRYING [1]
% 0.12/0.47 % TRYING [2]
% 0.12/0.47 % TRYING [3]
% 0.12/0.47 % (3051655) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3051644-3051655"...
% 0.12/0.47 % (3051655)...printing done.
% 0.12/0.47 % (3051655)Refutation found. Thanks to Tanya!
% 0.12/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.47 % (3051655)------------------------------
% 0.12/0.47 % (3051655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.47 % (3051655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.47 % (3051655)CaDiCaL version: 2.1.3
% 0.12/0.47 % (3051655)Termination reason: Refutation
% 0.12/0.47 % (3051655)Time elapsed: 0.005 s
% 0.12/0.47 % (3051655)Peak memory usage: 11 MB
% 0.12/0.47 % (3051655)Instructions burned: 6 (million)
% 0.12/0.47 % (3051644)Success in time 0.04 s
% 0.12/0.47 % Vampire exiting
%------------------------------------------------------------------------------