%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO007-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 09:51:09 AM UTC 2026
% Result : Unsatisfiable 0.16s 1.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 13 unt; 2 def)
% Number of atoms : 49 ( 3 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 39 ( 18 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
fof(f87,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X1,X3)
| ~ between(X0,X1,X2)
| X0 = X1
| between(X1,X2,X3)
| between(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b13) ).
fof(f88,axiom,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
fof(f89,axiom,
between(d,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_between_a_and_c) ).
fof(f90,axiom,
between(e,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_between_a_and_e) ).
fof(f91,axiom,
~ between(d,e,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_not_between_d_and_a) ).
fof(f92,negated_conjecture,
~ between(e,d,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d_between_e_and_a) ).
fof(f96,plain,
between(c,a,d),
inference(resolution,[],[f54,f89]) ).
fof(f97,plain,
between(c,a,e),
inference(resolution,[],[f54,f90]) ).
fof(f231,plain,
! [X0] :
( ~ between(c,a,X0)
| a = c
| between(a,X0,e)
| between(a,e,X0) ),
inference(resolution,[],[f87,f97]) ).
fof(f234,plain,
! [X0] :
( ~ between(c,a,X0)
| between(a,X0,e)
| between(a,e,X0) ),
inference(forward_subsumption_resolution,[],[f231,f88]) ).
fof(f367,plain,
( between(a,d,e)
| between(a,e,d) ),
inference(resolution,[],[f234,f96]) ).
fof(f372,definition,
( spl0_18
<=> between(a,e,d) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f374,plain,
( between(a,e,d)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f376,definition,
( spl0_19
<=> between(a,d,e) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f378,plain,
( between(a,d,e)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f379,plain,
( spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f367,f376,f372]) ).
fof(f384,plain,
( between(d,e,a)
| ~ spl0_18 ),
inference(resolution,[],[f374,f54]) ).
fof(f400,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f384,f91]) ).
fof(f401,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f402,plain,
( between(e,d,a)
| ~ spl0_19 ),
inference(resolution,[],[f378,f54]) ).
fof(f417,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f402,f92]) ).
fof(f418,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f417]) ).
cnf(s23,plain,
( spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f379]) ).
cnf(s25,plain,
~ spl0_18,
inference(sat_conversion,[],[f401]) ).
cnf(s26,plain,
~ spl0_19,
inference(sat_conversion,[],[f418]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s23,s26,s25]) ).
fof(f419,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO007-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n016.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
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 06:36:13 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.16/1.51 % (2269564)Input is clausal, will run a generic CNF schedule.
% 0.16/1.51 % (2269573)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3469104411:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.16/1.51 % (2269573)Instruction limit reached!
% 0.16/1.51 % (2269573)------------------------------
% 0.16/1.51 % (2269573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.51 % (2269573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.51 % (2269573)CaDiCaL version: 2.1.3
% 0.16/1.51 % (2269573)Termination reason: Instruction limit
% 0.16/1.51 % (2269573)Termination phase: Saturation
% 0.16/1.51 % (2269573)Time elapsed: 0.035 s
% 0.16/1.51 % (2269573)Peak memory usage: 89 MB
% 0.16/1.51 % (2269573)Instructions burned: 114 (million)
% 0.16/1.51 % (2269571)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3427279364:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.16/1.51 % (2269572)lrs+10_1_sil=8000:sp=occurrence:random_seed=2194384252:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.16/1.51 % (2269570)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1540699555:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.16/1.51 % (2269569)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=3745045386:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.16/1.51 % (2269574)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=994102129:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.16/1.51 % (2269575)dis-21_1_sil=8000:lcm=predicate:random_seed=899087052: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)
% 0.16/1.51 % (2269572)First to succeed.
% 0.16/1.51 % (2269572)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2269564"
% 0.16/1.51 % (2269574)Instruction limit reached!
% 0.16/1.51 % (2269574)------------------------------
% 0.16/1.51 % (2269574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.51 % (2269574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.51 % (2269574)CaDiCaL version: 2.1.3
% 0.16/1.51 % (2269574)Termination reason: Instruction limit
% 0.16/1.51 % (2269574)Termination phase: Saturation
% 0.16/1.51 % (2269574)Time elapsed: 0.060 s
% 0.16/1.51 % (2269574)Peak memory usage: 89 MB
% 0.16/1.51 % (2269574)Instructions burned: 182 (million)
% 0.16/1.51 % (2269575)Instruction limit reached!
% 0.16/1.51 % (2269575)------------------------------
% 0.16/1.51 % (2269575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.51 % (2269575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.51 % (2269575)CaDiCaL version: 2.1.3
% 0.16/1.51 % (2269575)Termination reason: Instruction limit
% 0.16/1.51 % (2269575)Termination phase: Saturation
% 0.16/1.51 % (2269575)Time elapsed: 0.069 s
% 0.16/1.51 % (2269575)Peak memory usage: 89 MB
% 0.16/1.51 % (2269575)Instructions burned: 117 (million)
% 0.16/1.51 % (2269577)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1904353962:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.16/1.51 % (2269577)Also succeeded, but the first one will report.
% 0.16/1.51 % (2269584)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3977206076:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 0.16/1.51 % (2269584)Also succeeded, but the first one will report.
% 0.16/1.51 % (2269585)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2234768364:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.16/1.51 % (2269572)Refutation found. Thanks to Tanya!
% 0.16/1.51 % SZS status Unsatisfiable for theBenchmark
% 0.16/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.51 % (2269572)------------------------------
% 0.16/1.51 % (2269572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.51 % (2269572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.51 % (2269572)CaDiCaL version: 2.1.3
% 0.16/1.51 % (2269572)Termination reason: Refutation
% 0.16/1.51 % (2269572)Time elapsed: 0.007 s
% 0.16/1.51 % (2269572)Peak memory usage: 89 MB
% 0.16/1.51 % (2269572)Instructions burned: 8 (million)
% 0.16/1.51 % (2269572)------------------------------
% 0.16/1.51 % (2269572)------------------------------
% 0.16/1.51 % (2269564)Success in time 0.444 s
% 0.16/1.51 % Vampire exiting
%------------------------------------------------------------------------------