%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO112-1 : 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 : 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 09:51:35 AM UTC 2026
% Result : Unsatisfiable 3.50s 1.52s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 11 unt; 3 def)
% Number of atoms : 80 ( 9 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 83 ( 39 ~; 41 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 42 ( 0 sgn 42 !; 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(f67,axiom,
! [X2,X3,X0,X1] :
( part_of(ax1_sk1(X3,X2,X1,X0),X0)
| ~ between_c(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn_2) ).
fof(f68,axiom,
! [X2,X3,X0,X1] :
( end_point(X1,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn_3) ).
fof(f69,axiom,
! [X2,X3,X0,X1] :
( end_point(X3,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn_4) ).
fof(f70,axiom,
! [X2,X3,X0,X1] :
( inner_point(X2,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn_5) ).
fof(f71,axiom,
! [X2,X3,X0,X1,X4] :
( ~ part_of(X2,X3)
| X0 = X1
| ~ end_point(X0,X2)
| ~ end_point(X1,X2)
| ~ inner_point(X4,X2)
| between_c(X3,X0,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn_6) ).
fof(f72,negated_conjecture,
between_c(sk15,sk16,sk17,sk18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_8_2_77) ).
fof(f73,negated_conjecture,
~ between_c(sk15,sk18,sk17,sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_8_2_78) ).
fof(f78,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f66]) ).
fof(f81,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between_c(X5,X4,X3,X2)
| ~ end_point(X0,ax1_sk1(X2,X3,X4,X5))
| ~ end_point(X1,ax1_sk1(X2,X3,X4,X5))
| ~ inner_point(X6,ax1_sk1(X2,X3,X4,X5))
| between_c(X5,X0,X6,X1)
| X0 = X1 ),
inference(resolution,[],[f71,f67]) ).
fof(f194,plain,
! [X2,X0,X1] :
( ~ inner_point(X2,ax1_sk1(sk18,sk17,sk16,sk15))
| ~ end_point(X1,ax1_sk1(sk18,sk17,sk16,sk15))
| ~ end_point(X0,ax1_sk1(sk18,sk17,sk16,sk15))
| between_c(sk15,X0,X2,X1)
| X0 = X1 ),
inference(resolution,[],[f81,f72]) ).
fof(f196,plain,
! [X0,X1] :
( ~ end_point(X0,ax1_sk1(sk18,sk17,sk16,sk15))
| ~ end_point(X1,ax1_sk1(sk18,sk17,sk16,sk15))
| between_c(sk15,X1,sk17,X0)
| X0 = X1
| ~ between_c(sk15,sk16,sk17,sk18) ),
inference(resolution,[],[f194,f70]) ).
fof(f198,plain,
! [X0,X1] :
( between_c(sk15,X1,sk17,X0)
| ~ end_point(X1,ax1_sk1(sk18,sk17,sk16,sk15))
| ~ end_point(X0,ax1_sk1(sk18,sk17,sk16,sk15))
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f196,f72]) ).
fof(f204,plain,
( ~ end_point(sk18,ax1_sk1(sk18,sk17,sk16,sk15))
| ~ end_point(sk16,ax1_sk1(sk18,sk17,sk16,sk15))
| sk16 = sk18 ),
inference(resolution,[],[f198,f73]) ).
fof(f210,definition,
( spl0_3
<=> sk16 = sk18 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f212,plain,
( sk16 = sk18
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f214,definition,
( spl0_4
<=> end_point(sk16,ax1_sk1(sk18,sk17,sk16,sk15)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f216,plain,
( ~ end_point(sk16,ax1_sk1(sk18,sk17,sk16,sk15))
| spl0_4 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f218,definition,
( spl0_5
<=> end_point(sk18,ax1_sk1(sk18,sk17,sk16,sk15)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f220,plain,
( ~ end_point(sk18,ax1_sk1(sk18,sk17,sk16,sk15))
| spl0_5 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f221,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f204,f218,f214,f210]) ).
fof(f223,plain,
( ~ between_c(sk15,sk16,sk17,sk18)
| spl0_4 ),
inference(resolution,[],[f216,f68]) ).
fof(f233,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f223,f72]) ).
fof(f234,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f237,plain,
( ~ between_c(sk15,sk16,sk17,sk18)
| spl0_5 ),
inference(resolution,[],[f220,f69]) ).
fof(f247,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f237,f72]) ).
fof(f248,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f249,plain,
( between_c(sk15,sk16,sk17,sk16)
| ~ spl0_3 ),
inference(superposition,[],[f72,f212]) ).
fof(f256,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f249,f78]) ).
fof(f257,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f256]) ).
cnf(s3,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f221]) ).
cnf(s5,plain,
spl0_4,
inference(sat_conversion,[],[f234]) ).
cnf(s7,plain,
spl0_5,
inference(sat_conversion,[],[f248]) ).
cnf(s8,plain,
~ spl0_3,
inference(sat_conversion,[],[f257]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s3,s7,s5,s8]) ).
fof(f258,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO112-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 % Computer : n004.cluster.edu
% 0.10/0.42 % Model : x86_64 x86_64
% 0.10/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.42 % Memory : 8046.5625MB
% 0.10/0.42 % OS : Linux 6.8.0-71-generic
% 0.10/0.42 % CPULimit : 300
% 0.10/0.42 % WCLimit : 300
% 0.10/0.42 % DateTime : Sun Sep 27 07:03:37 UTC 2026
% 0.10/0.42 % CPUTime :
% 0.10/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.46 Running first-order theorem proving
% 0.14/0.46 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
% 3.50/1.51 % (3160348)Input is clausal, will run a generic CNF schedule.
% 3.50/1.51 % (3160353)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=194207906:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.50/1.51 % (3160357)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2704735409:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.50/1.51 % (3160358)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2595706052:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.50/1.51 % (3160356)lrs+10_1_sil=8000:sp=occurrence:random_seed=431773795:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.50/1.51 % (3160359)dis-21_1_sil=8000:lcm=predicate:random_seed=330284122: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)
% 3.50/1.51 % (3160355)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2062269222:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.50/1.51 % (3160354)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2546341602:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.50/1.51 % (3160357)Refutation not found, incomplete strategy
% 3.50/1.51 % (3160357)------------------------------
% 3.50/1.51 % (3160357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.51 % (3160357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.51 % (3160357)CaDiCaL version: 2.1.3
% 3.50/1.51 % (3160357)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.51 % (3160357)Time elapsed: 0.004 s
% 3.50/1.51 % (3160357)Peak memory usage: 88 MB
% 3.50/1.51 % (3160357)Instructions burned: 4 (million)
% 3.50/1.51 % (3160358)First to succeed.
% 3.50/1.51 % (3160358)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3160348"
% 3.50/1.51 % (3160359)Instruction limit reached!
% 3.50/1.51 % (3160359)------------------------------
% 3.50/1.51 % (3160359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.51 % (3160359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.51 % (3160359)CaDiCaL version: 2.1.3
% 3.50/1.51 % (3160359)Termination reason: Instruction limit
% 3.50/1.51 % (3160359)Termination phase: Saturation
% 3.50/1.51 % (3160359)Time elapsed: 0.049 s
% 3.50/1.51 % (3160359)Peak memory usage: 88 MB
% 3.50/1.51 % (3160359)Instructions burned: 118 (million)
% 3.50/1.51 % (3160356)Instruction limit reached!
% 3.50/1.51 % (3160356)------------------------------
% 3.50/1.51 % (3160356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.51 % (3160356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.51 % (3160356)CaDiCaL version: 2.1.3
% 3.50/1.51 % (3160356)Termination reason: Instruction limit
% 3.50/1.51 % (3160356)Termination phase: Saturation
% 3.50/1.51 % (3160356)Time elapsed: 0.068 s
% 3.50/1.51 % (3160356)Peak memory usage: 89 MB
% 3.50/1.51 % (3160356)Instructions burned: 108 (million)
% 3.50/1.51 % (3160367)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=1690203826:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.50/1.52 % (3160367)Also succeeded, but the first one will report.
% 3.50/1.52 % (3160368)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4285310582: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)
% 3.50/1.52 % (3160368)Also succeeded, but the first one will report.
% 3.50/1.52 % (3160357)------------------------------
% 3.50/1.52 % (3160357)------------------------------
% 3.50/1.52 % (3160358)Refutation found. Thanks to Tanya!
% 3.50/1.52 % SZS status Unsatisfiable for theBenchmark
% 3.50/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.52 % (3160358)------------------------------
% 3.50/1.52 % (3160358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.52 % (3160358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.52 % (3160358)CaDiCaL version: 2.1.3
% 3.50/1.52 % (3160358)Termination reason: Refutation
% 3.50/1.52 % (3160358)Time elapsed: 0.011 s
% 3.50/1.52 % (3160358)Peak memory usage: 89 MB
% 3.50/1.52 % (3160358)Instructions burned: 13 (million)
% 3.50/1.52 % (3160358)------------------------------
% 3.50/1.52 % (3160358)------------------------------
% 3.50/1.52 % (3160348)Success in time 0.41 s
% 3.50/1.52 % Vampire exiting
%------------------------------------------------------------------------------