%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO125-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 09:51:37 AM UTC 2026
% Result : Unsatisfiable 4.03s 1.55s
% Output : Refutation 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 52 ( 13 unt; 4 def)
% Number of atoms : 108 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 108 ( 52 ~; 52 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f66,axiom,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| X1 != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn_1) ).
fof(f77,axiom,
! [X2,X3,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| ~ ordered_by(X0,X2,X3)
| between_o(X0,X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_o_defn_6) ).
fof(f84,axiom,
! [X0,X1] :
( incident_o(X0,X1)
| ~ finish_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finish_point_defn_12) ).
fof(f85,axiom,
! [X2,X0,X1] :
( ordered_by(X1,X2,X0)
| X0 = X2
| ~ incident_o(X2,X1)
| ~ finish_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finish_point_defn_13) ).
fof(f97,axiom,
! [X2,X3,X0,X1] :
( ~ between_o(X0,X1,X2,X3)
| between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o3_24) ).
fof(f124,negated_conjecture,
finish_point(sk26,sk25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_2_133) ).
fof(f125,negated_conjecture,
finish_point(sk27,sk25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_2_134) ).
fof(f126,negated_conjecture,
sk26 != sk27,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_2_135) ).
fof(f131,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f66]) ).
fof(f1018,definition,
( spl0_3
<=> incident_o(sk26,sk25) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1019,plain,
( incident_o(sk26,sk25)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f1020,plain,
( ~ incident_o(sk26,sk25)
| spl0_3 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f1041,plain,
( ~ finish_point(sk26,sk25)
| spl0_3 ),
inference(resolution,[],[f1020,f84]) ).
fof(f1042,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1041,f124]) ).
fof(f1043,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f1042]) ).
fof(f1227,definition,
( spl0_15
<=> incident_o(sk27,sk25) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f1228,plain,
( incident_o(sk27,sk25)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f1227]) ).
fof(f1229,plain,
( ~ incident_o(sk27,sk25)
| spl0_15 ),
inference(avatar_component_clause,[],[f1227]) ).
fof(f1250,plain,
( ~ finish_point(sk27,sk25)
| spl0_15 ),
inference(resolution,[],[f1229,f84]) ).
fof(f1251,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f1250,f125]) ).
fof(f1252,plain,
spl0_15,
inference(avatar_contradiction_clause,[],[f1251]) ).
fof(f1350,definition,
( spl0_25
<=> ordered_by(sk25,sk26,sk27) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f1351,plain,
( ~ ordered_by(sk25,sk26,sk27)
| spl0_25 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1352,plain,
( ordered_by(sk25,sk26,sk27)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1358,definition,
( spl0_27
<=> ordered_by(sk25,sk27,sk26) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f1359,plain,
( ~ ordered_by(sk25,sk27,sk26)
| spl0_27 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f1360,plain,
( ordered_by(sk25,sk27,sk26)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f1373,plain,
( ! [X0] :
( ~ ordered_by(sk25,sk27,X0)
| between_o(sk25,X0,sk27,sk26) )
| ~ spl0_25 ),
inference(resolution,[],[f1352,f77]) ).
fof(f1385,plain,
( between_o(sk25,sk26,sk27,sk26)
| ~ spl0_25
| ~ spl0_27 ),
inference(resolution,[],[f1373,f1360]) ).
fof(f1399,plain,
( between_c(ax2_sk4(sk25,sk26,sk27,sk26),sk26,sk27,sk26)
| ~ spl0_25
| ~ spl0_27 ),
inference(resolution,[],[f1385,f97]) ).
fof(f1402,plain,
( $false
| ~ spl0_25
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1399,f131]) ).
fof(f1403,plain,
( ~ spl0_25
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1402]) ).
fof(f1411,plain,
( sk26 = sk27
| ~ incident_o(sk26,sk25)
| ~ finish_point(sk27,sk25)
| spl0_25 ),
inference(resolution,[],[f1351,f85]) ).
fof(f1413,plain,
( ~ incident_o(sk26,sk25)
| ~ finish_point(sk27,sk25)
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f1411,f126]) ).
fof(f1414,plain,
( ~ finish_point(sk27,sk25)
| ~ spl0_3
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f1413,f1019]) ).
fof(f1415,plain,
( $false
| ~ spl0_3
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f1414,f125]) ).
fof(f1416,plain,
( ~ spl0_3
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f1415]) ).
fof(f1436,plain,
( sk26 = sk27
| ~ incident_o(sk27,sk25)
| ~ finish_point(sk26,sk25)
| spl0_27 ),
inference(resolution,[],[f1359,f85]) ).
fof(f1438,plain,
( ~ incident_o(sk27,sk25)
| ~ finish_point(sk26,sk25)
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f1436,f126]) ).
fof(f1439,plain,
( ~ finish_point(sk26,sk25)
| ~ spl0_15
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f1438,f1228]) ).
fof(f1440,plain,
( $false
| ~ spl0_15
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f1439,f124]) ).
fof(f1441,plain,
( ~ spl0_15
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f1440]) ).
cnf(s3,plain,
spl0_3,
inference(sat_conversion,[],[f1043]) ).
cnf(s9,plain,
spl0_15,
inference(sat_conversion,[],[f1252]) ).
cnf(s16,plain,
( ~ spl0_25
| ~ spl0_27 ),
inference(sat_conversion,[],[f1403]) ).
cnf(s17,plain,
( ~ spl0_3
| spl0_25 ),
inference(sat_conversion,[],[f1416]) ).
cnf(s18,plain,
( ~ spl0_15
| spl0_27 ),
inference(sat_conversion,[],[f1441]) ).
cnf(s19,plain,
spl0_27,
inference(rat,[],[s18,s9]) ).
cnf(s20,plain,
~ spl0_25,
inference(rat,[],[s16,s19]) ).
cnf(s21,plain,
~ spl0_3,
inference(rat,[],[s17,s20]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s3,s21]) ).
fof(f1442,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO125-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n010.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 07:08:01 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.03/1.55 % (597104)Input is clausal, will run a generic CNF schedule.
% 4.03/1.55 % (597113)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=775846249:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.03/1.55 % (597113)Refutation not found, incomplete strategy
% 4.03/1.55 % (597113)------------------------------
% 4.03/1.55 % (597113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.55 % (597113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.55 % (597113)CaDiCaL version: 2.1.3
% 4.03/1.55 % (597113)Termination reason: Refutation not found, incomplete strategy
% 4.03/1.55 % (597113)Time elapsed: 0.001 s
% 4.03/1.55 % (597113)Peak memory usage: 87 MB
% 4.03/1.55 % (597113)Instructions burned: 1 (million)
% 4.03/1.55 % (597114)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1515883611:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.03/1.55 % (597115)dis-21_1_sil=8000:lcm=predicate:random_seed=2538794924: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)
% 4.03/1.55 % (597112)lrs+10_1_sil=8000:sp=occurrence:random_seed=462034946:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.03/1.55 % (597110)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2885423104:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.03/1.55 % (597109)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=2549362362:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.03/1.55 % (597111)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1423306123:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.03/1.55 % (597112)Refutation not found, incomplete strategy
% 4.03/1.55 % (597112)------------------------------
% 4.03/1.55 % (597112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.55 % (597112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.55 % (597112)CaDiCaL version: 2.1.3
% 4.03/1.55 % (597112)Termination reason: Refutation not found, incomplete strategy
% 4.03/1.55 % (597112)Time elapsed: 0.002 s
% 4.03/1.55 % (597112)Peak memory usage: 87 MB
% 4.03/1.55 % (597114)First to succeed.
% 4.03/1.55 % (597114)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-597104"
% 4.03/1.55 % (597115)Instruction limit reached!
% 4.03/1.55 % (597115)------------------------------
% 4.03/1.55 % (597115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.55 % (597115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.55 % (597115)CaDiCaL version: 2.1.3
% 4.03/1.55 % (597115)Termination reason: Instruction limit
% 4.03/1.55 % (597115)Termination phase: Saturation
% 4.03/1.55 % (597115)Time elapsed: 0.061 s
% 4.03/1.55 % (597115)Peak memory usage: 88 MB
% 4.03/1.55 % (597115)Instructions burned: 118 (million)
% 4.03/1.55 % (597113)------------------------------
% 4.03/1.55 % (597113)------------------------------
% 4.03/1.55 % (597123)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=187171615:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.03/1.55 % (597123)Refutation not found, incomplete strategy
% 4.03/1.55 % (597123)------------------------------
% 4.03/1.55 % (597123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.55 % (597123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.55 % (597123)CaDiCaL version: 2.1.3
% 4.03/1.55 % (597123)Termination reason: Refutation not found, incomplete strategy
% 4.03/1.55 % (597123)Time elapsed: 0.001 s
% 4.03/1.55 % (597123)Peak memory usage: 87 MB
% 4.03/1.55 % (597112)------------------------------
% 4.03/1.55 % (597112)------------------------------
% 4.03/1.55 % (597124)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3219419604: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)
% 4.03/1.55 % (597124)Refutation not found, incomplete strategy
% 4.03/1.55 % (597124)------------------------------
% 4.03/1.55 % (597124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.55 % (597124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.55 % (597124)CaDiCaL version: 2.1.3
% 4.03/1.55 % (597124)Termination reason: Refutation not found, incomplete strategy
% 4.03/1.55 % (597124)Time elapsed: 0.004 s
% 4.03/1.55 % (597124)Peak memory usage: 88 MB
% 4.03/1.55 % (597124)Instructions burned: 10 (million)
% 4.03/1.55 % (597114)Refutation found. Thanks to Tanya!
% 4.03/1.55 % SZS status Unsatisfiable for theBenchmark
% 4.03/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 4.03/1.55 % (597114)------------------------------
% 4.03/1.55 % (597114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.55 % (597114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.55 % (597114)CaDiCaL version: 2.1.3
% 4.03/1.55 % (597114)Termination reason: Refutation
% 4.03/1.55 % (597114)Time elapsed: 0.051 s
% 4.03/1.55 % (597114)Peak memory usage: 90 MB
% 4.03/1.55 % (597114)Instructions burned: 73 (million)
% 4.03/1.55 % (597114)------------------------------
% 4.03/1.55 % (597114)------------------------------
% 4.03/1.55 % (597104)Success in time 0.486 s
% 4.03/1.55 % Vampire exiting
%------------------------------------------------------------------------------