%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO126-1 : 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 : n017.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 09:51:38 AM UTC 2026
% Result : Unsatisfiable 3.76s 1.43s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 44 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 21 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',end_point_defn_13) ).
fof(f30,axiom,
! [X0,X1] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_point_defn_21) ).
fof(f31,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_point_defn_22) ).
fof(f42,axiom,
! [X0] :
( end_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',open_defn_33) ).
fof(f46,axiom,
! [X0] : inner_point(ax0_sk8(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3_37) ).
fof(f79,axiom,
! [X2,X0,X1] :
( ~ start_point(X0,X1)
| X0 = X2
| ~ incident_o(X2,X1)
| ordered_by(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_point_defn_8) ).
fof(f92,axiom,
! [X0] : open(ax2_sk3(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o2_19) ).
fof(f94,axiom,
! [X0,X1] :
( incident_o(X0,X1)
| ~ incident_c(X0,ax2_sk3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o2_21) ).
fof(f102,axiom,
! [X0] : start_point(ax2_sk6(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o4_29) ).
fof(f124,negated_conjecture,
! [X0,X1] :
( ~ ordered_by(sk25,X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_11_133) ).
fof(f133,plain,
! [X0] :
( ~ inner_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
inference(resolution,[],[f42,f31]) ).
fof(f134,plain,
! [X0] :
( incident_c(ax0_sk7(X0),X0)
| ~ open(X0) ),
inference(resolution,[],[f42,f22]) ).
fof(f160,plain,
! [X0,X1] :
( ordered_by(X0,ax2_sk6(X0),X1)
| ~ incident_o(X1,X0)
| ax2_sk6(X0) = X1 ),
inference(resolution,[],[f79,f102]) ).
fof(f304,plain,
! [X0] :
( ~ incident_o(X0,sk25)
| ax2_sk6(sk25) = X0
| ax2_sk6(sk25) = X0 ),
inference(resolution,[],[f160,f124]) ).
fof(f308,plain,
! [X0] :
( ~ incident_o(X0,sk25)
| ax2_sk6(sk25) = X0 ),
inference(duplicate_literal_removal,[],[f304]) ).
fof(f312,plain,
! [X0] :
( ~ incident_c(X0,ax2_sk3(sk25))
| ax2_sk6(sk25) = X0 ),
inference(resolution,[],[f308,f94]) ).
fof(f326,plain,
! [X0] :
( ~ inner_point(X0,ax2_sk3(sk25))
| ax2_sk6(sk25) = X0 ),
inference(resolution,[],[f312,f30]) ).
fof(f335,plain,
( ax2_sk6(sk25) = ax0_sk7(ax2_sk3(sk25))
| ~ open(ax2_sk3(sk25)) ),
inference(resolution,[],[f312,f134]) ).
fof(f339,plain,
ax2_sk6(sk25) = ax0_sk7(ax2_sk3(sk25)),
inference(forward_subsumption_resolution,[],[f335,f92]) ).
fof(f348,plain,
( ~ inner_point(ax2_sk6(sk25),ax2_sk3(sk25))
| ~ open(ax2_sk3(sk25)) ),
inference(superposition,[],[f133,f339]) ).
fof(f351,plain,
~ inner_point(ax2_sk6(sk25),ax2_sk3(sk25)),
inference(forward_subsumption_resolution,[],[f348,f92]) ).
fof(f465,plain,
ax2_sk6(sk25) = ax0_sk8(ax2_sk3(sk25)),
inference(resolution,[],[f326,f46]) ).
fof(f475,plain,
inner_point(ax2_sk6(sk25),ax2_sk3(sk25)),
inference(superposition,[],[f46,f465]) ).
fof(f476,plain,
$false,
inference(forward_subsumption_resolution,[],[f475,f351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO126-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n017.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 07:03:05 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 3.76/1.43 % (2205275)Input is clausal, will run a generic CNF schedule.
% 3.76/1.43 % (2205284)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1729592396:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.76/1.43 % (2205284)Refutation not found, incomplete strategy
% 3.76/1.43 % (2205284)------------------------------
% 3.76/1.43 % (2205284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.43 % (2205284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.43 % (2205284)CaDiCaL version: 2.1.3
% 3.76/1.43 % (2205284)Termination reason: Refutation not found, incomplete strategy
% 3.76/1.43 % (2205284)Time elapsed: 0.001 s
% 3.76/1.43 % (2205284)Peak memory usage: 88 MB
% 3.76/1.43 % (2205284)Instructions burned: 1 (million)
% 3.76/1.43 % (2205282)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1176656875:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.76/1.43 % (2205283)lrs+10_1_sil=8000:sp=occurrence:random_seed=2132844860:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.76/1.43 % (2205281)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4140579141:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.76/1.43 % (2205280)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=500926223:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.76/1.43 % (2205283)Refutation not found, incomplete strategy
% 3.76/1.43 % (2205283)------------------------------
% 3.76/1.43 % (2205283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.43 % (2205283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.43 % (2205283)CaDiCaL version: 2.1.3
% 3.76/1.43 % (2205283)Termination reason: Refutation not found, incomplete strategy
% 3.76/1.43 % (2205283)Time elapsed: 0.001 s
% 3.76/1.43 % (2205283)Peak memory usage: 86 MB
% 3.76/1.43 % (2205286)dis-21_1_sil=8000:lcm=predicate:random_seed=2127399244: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)
% 3.76/1.43 % (2205285)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=214173600:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.76/1.43 % (2205285)First to succeed.
% 3.76/1.43 % (2205285)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2205275"
% 3.76/1.43 % (2205286)Instruction limit reached!
% 3.76/1.43 % (2205286)------------------------------
% 3.76/1.43 % (2205286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.43 % (2205286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.43 % (2205286)CaDiCaL version: 2.1.3
% 3.76/1.43 % (2205286)Termination reason: Instruction limit
% 3.76/1.43 % (2205286)Termination phase: Saturation
% 3.76/1.43 % (2205286)Time elapsed: 0.067 s
% 3.76/1.43 % (2205286)Peak memory usage: 88 MB
% 3.76/1.43 % (2205286)Instructions burned: 118 (million)
% 3.76/1.43 % (2205284)------------------------------
% 3.76/1.43 % (2205284)------------------------------
% 3.76/1.43 % (2205295)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=353139877: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)
% 3.76/1.43 % (2205294)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=2480045663:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.76/1.43 % (2205295)Refutation not found, incomplete strategy
% 3.76/1.43 % (2205295)------------------------------
% 3.76/1.43 % (2205295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.43 % (2205295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.43 % (2205295)CaDiCaL version: 2.1.3
% 3.76/1.43 % (2205295)Termination reason: Refutation not found, incomplete strategy
% 3.76/1.43 % (2205295)Time elapsed: 0.002 s
% 3.76/1.43 % (2205295)Peak memory usage: 88 MB
% 3.76/1.43 % (2205295)Instructions burned: 5 (million)
% 3.76/1.43 % (2205294)Refutation not found, incomplete strategy
% 3.76/1.43 % (2205294)------------------------------
% 3.76/1.43 % (2205294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.43 % (2205294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.43 % (2205294)CaDiCaL version: 2.1.3
% 3.76/1.43 % (2205294)Termination reason: Refutation not found, incomplete strategy
% 3.76/1.43 % (2205294)Time elapsed: 0.001 s
% 3.76/1.43 % (2205294)Peak memory usage: 86 MB
% 3.76/1.43 % (2205283)------------------------------
% 3.76/1.43 % (2205283)------------------------------
% 3.76/1.43 % (2205285)Refutation found. Thanks to Tanya!
% 3.76/1.43 % SZS status Unsatisfiable for theBenchmark
% 3.76/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 3.76/1.43 % (2205285)------------------------------
% 3.76/1.43 % (2205285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.43 % (2205285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.43 % (2205285)CaDiCaL version: 2.1.3
% 3.76/1.43 % (2205285)Termination reason: Refutation
% 3.76/1.43 % (2205285)Time elapsed: 0.018 s
% 3.76/1.43 % (2205285)Peak memory usage: 88 MB
% 3.76/1.43 % (2205285)Instructions burned: 23 (million)
% 3.76/1.43 % (2205285)------------------------------
% 3.76/1.43 % (2205285)------------------------------
% 3.76/1.43 % (2205275)Success in time 0.458 s
% 3.76/1.43 % Vampire exiting
%------------------------------------------------------------------------------