%------------------------------------------------------------------------------
% File : Vampire---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 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 09:51:36 AM UTC 2026
% Result : Unsatisfiable 3.65s 1.50s
% Output : Refutation 0.15s
% 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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',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(f126,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f66]) ).
fof(f207,plain,
! [X2,X0,X1] : ~ between_o(X0,X1,X2,X1),
inference(resolution,[],[f97,f126]) ).
fof(f213,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| ~ ordered_by(X0,X2,X1) ),
inference(resolution,[],[f207,f77]) ).
fof(f217,plain,
~ ordered_by(sk25,sk26,sk27),
inference(resolution,[],[f213,f125]) ).
fof(f222,plain,
$false,
inference(resolution,[],[f217,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 THM
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 07:08:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 3.65/1.50 % (3197846)Input is clausal, will run a generic CNF schedule.
% 3.65/1.50 % (3197855)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=113642034:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.65/1.50 % (3197855)Refutation not found, incomplete strategy
% 3.65/1.50 % (3197855)------------------------------
% 3.65/1.50 % (3197855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.50 % (3197855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.50 % (3197855)CaDiCaL version: 2.1.3
% 3.65/1.50 % (3197855)Termination reason: Refutation not found, incomplete strategy
% 3.65/1.50 % (3197855)Time elapsed: 0.001 s
% 3.65/1.50 % (3197855)Peak memory usage: 87 MB
% 3.65/1.50 % (3197855)Instructions burned: 1 (million)
% 3.65/1.50 % (3197854)lrs+10_1_sil=8000:sp=occurrence:random_seed=1647537542:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.65/1.50 % (3197851)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=3473540621:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.65/1.50 % (3197852)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3057550045:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.65/1.50 % (3197853)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2286347610:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.65/1.50 % (3197857)dis-21_1_sil=8000:lcm=predicate:random_seed=2975858150: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)
% 3.65/1.50 % (3197856)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3432345609:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.65/1.50 % (3197854)Refutation not found, incomplete strategy
% 3.65/1.50 % (3197854)------------------------------
% 3.65/1.50 % (3197854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.50 % (3197854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.50 % (3197854)CaDiCaL version: 2.1.3
% 3.65/1.50 % (3197854)Termination reason: Refutation not found, incomplete strategy
% 3.65/1.50 % (3197854)Time elapsed: 0.001 s
% 3.65/1.50 % (3197854)Peak memory usage: 86 MB
% 3.65/1.50 % (3197857)First to succeed.
% 3.65/1.50 % (3197857)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3197846"
% 3.65/1.50 % (3197856)Also succeeded, but the first one will report.
% 3.65/1.50 % (3197855)------------------------------
% 3.65/1.50 % (3197855)------------------------------
% 3.65/1.50 % (3197854)------------------------------
% 3.65/1.50 % (3197854)------------------------------
% 3.65/1.50 % (3197857)Refutation found. Thanks to Tanya!
% 3.65/1.50 % SZS status Unsatisfiable for theBenchmark
% 3.65/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.50 % (3197857)------------------------------
% 0.15/1.50 % (3197857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.50 % (3197857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.50 % (3197857)CaDiCaL version: 2.1.3
% 0.15/1.50 % (3197857)Termination reason: Refutation
% 0.15/1.50 % (3197857)Time elapsed: 0.004 s
% 0.15/1.50 % (3197857)Peak memory usage: 88 MB
% 0.15/1.50 % (3197857)Instructions burned: 5 (million)
% 0.15/1.50 % (3197857)------------------------------
% 0.15/1.50 % (3197857)------------------------------
% 0.15/1.50 % (3197846)Success in time 0.439 s
% 0.15/1.50 % Vampire exiting
%------------------------------------------------------------------------------