%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO118-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 09:53:38 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 15 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f66,axiom,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| X1 != X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-1.ax',between_c_defn_1) ).
fof(f77,axiom,
! [X2,X3,X0,X1] :
( between_o(X0,X3,X2,X1)
| ~ ordered_by(X0,X2,X3)
| ~ ordered_by(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',between_o_defn_6) ).
fof(f97,axiom,
! [X2,X3,X0,X1] :
( between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3)
| ~ between_o(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-2.ax',o3_24) ).
fof(f124,negated_conjecture,
ordered_by(sk25,sk26,sk27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_5_133) ).
fof(f125,negated_conjecture,
ordered_by(sk25,sk27,sk26),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_5_134) ).
fof(f130,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f66]) ).
fof(f344,plain,
! [X2,X0,X1] : ~ between_o(X0,X1,X2,X1),
inference(resolution,[],[f97,f130]) ).
fof(f345,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X2,X1)
| ~ ordered_by(X0,X1,X2) ),
inference(resolution,[],[f344,f77]) ).
fof(f353,plain,
~ ordered_by(sk25,sk26,sk27),
inference(resolution,[],[f345,f125]) ).
fof(f358,plain,
$false,
inference(forward_subsumption_resolution,[],[f353,f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO118-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n004.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 07:05:22 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49 % (3161749)Will run a generic schedule for satisfiability detection.
% 0.18/0.49 % (3161754)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3600612085_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.49 % TRYING [1]
% 0.18/0.49 % TRYING [2]
% 0.18/0.49 % (3161755)% WARNING: option uhcvi not known.
% 0.18/0.49 % TRYING [3]
% 0.18/0.49 % (3161756)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3751074749:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.49 % (3161759)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3180502642:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.49 % (3161755)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4175518106:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.49 % (3161757)dis+10_1_sil=32000:sp=arity:random_seed=2074782608:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.49 % (3161758)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2196109698:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.49 % (3161760)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3180789144:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.49 % (3161757) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3161749-3161757"...
% 0.18/0.49 % TRYING [4]
% 0.18/0.49 % (3161757)...printing done.
% 0.18/0.49 % (3161757)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (3161757)------------------------------
% 0.18/0.49 % (3161757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.49 % (3161757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.49 % (3161757)CaDiCaL version: 2.1.3
% 0.18/0.49 % (3161757)Termination reason: Refutation
% 0.18/0.49 % (3161757)Time elapsed: 0.008 s
% 0.18/0.49 % (3161757)Peak memory usage: 11 MB
% 0.18/0.49 % (3161757)Instructions burned: 11 (million)
% 0.18/0.49 % (3161749)Success in time 0.055 s
% 0.18/0.49 % Vampire exiting
%------------------------------------------------------------------------------