%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO087-1 : 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 : n019.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 09:51:30 AM UTC 2026
% Result : Unsatisfiable 3.73s 1.58s
% Output : Refutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 20 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_1) ).
fof(f30,axiom,
! [X0,X1] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_21) ).
fof(f31,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_22) ).
fof(f35,axiom,
! [X2,X3,X0,X1] :
( ~ meet(X0,X1,X2)
| ~ incident_c(X3,X1)
| ~ incident_c(X3,X2)
| end_point(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn_26) ).
fof(f46,axiom,
! [X0] : inner_point(ax0_sk8(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3_37) ).
fof(f66,negated_conjecture,
part_of(sk14,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_9_67) ).
fof(f67,negated_conjecture,
meet(sk16,sk14,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_9_68) ).
fof(f77,plain,
! [X0] :
( end_point(X0,sk14)
| ~ incident_c(X0,sk15)
| ~ incident_c(X0,sk14) ),
inference(resolution,[],[f35,f67]) ).
fof(f82,plain,
! [X0] :
( ~ incident_c(X0,sk15)
| ~ incident_c(X0,sk14)
| ~ inner_point(X0,sk14) ),
inference(resolution,[],[f77,f31]) ).
fof(f84,plain,
! [X0] :
( ~ inner_point(X0,sk14)
| ~ incident_c(X0,sk15) ),
inference(forward_subsumption_resolution,[],[f82,f30]) ).
fof(f100,plain,
~ incident_c(ax0_sk8(sk14),sk15),
inference(resolution,[],[f84,f46]) ).
fof(f102,plain,
! [X0] :
( ~ part_of(X0,sk15)
| ~ incident_c(ax0_sk8(sk14),X0) ),
inference(resolution,[],[f100,f1]) ).
fof(f136,plain,
~ incident_c(ax0_sk8(sk14),sk14),
inference(resolution,[],[f102,f66]) ).
fof(f142,plain,
~ inner_point(ax0_sk8(sk14),sk14),
inference(resolution,[],[f136,f30]) ).
fof(f145,plain,
$false,
inference(forward_subsumption_resolution,[],[f142,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO087-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.45 % Computer : n019.cluster.edu
% 0.11/0.45 % Model : x86_64 x86_64
% 0.11/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.45 % Memory : 8046.5625MB
% 0.11/0.45 % OS : Linux 6.8.0-71-generic
% 0.11/0.45 % CPULimit : 300
% 0.11/0.45 % WCLimit : 300
% 0.11/0.45 % DateTime : Sun Sep 27 06:54:04 UTC 2026
% 0.11/0.45 % CPUTime :
% 0.11/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.49 Running first-order theorem proving
% 0.15/0.49 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
% 3.73/1.58 % (2753624)Input is clausal, will run a generic CNF schedule.
% 3.73/1.58 % (2753635)dis-21_1_sil=8000:lcm=predicate:random_seed=337434866: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)
% 3.73/1.58 % (2753635)Instruction limit reached!
% 3.73/1.58 % (2753635)------------------------------
% 3.73/1.58 % (2753635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.58 % (2753635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.58 % (2753635)CaDiCaL version: 2.1.3
% 3.73/1.58 % (2753635)Termination reason: Instruction limit
% 3.73/1.58 % (2753635)Termination phase: Saturation
% 3.73/1.58 % (2753635)Time elapsed: 0.033 s
% 3.73/1.58 % (2753635)Peak memory usage: 88 MB
% 3.73/1.58 % (2753635)Instructions burned: 118 (million)
% 3.73/1.58 % (2753632)lrs+10_1_sil=8000:sp=occurrence:random_seed=88219165:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.73/1.58 % (2753634)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1462648809:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.73/1.58 % (2753633)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=633337456:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.73/1.58 % (2753631)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4256713821:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.73/1.58 % (2753630)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3663946417:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.73/1.58 % (2753629)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=811870965:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.73/1.58 % (2753632)Refutation not found, incomplete strategy
% 3.73/1.58 % (2753632)------------------------------
% 3.73/1.58 % (2753632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.58 % (2753632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.58 % (2753632)CaDiCaL version: 2.1.3
% 3.73/1.58 % (2753632)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.58 % (2753632)Time elapsed: 0.002 s
% 3.73/1.58 % (2753632)Peak memory usage: 88 MB
% 3.73/1.58 % (2753632)Instructions burned: 2 (million)
% 3.73/1.58 % (2753634)First to succeed.
% 3.73/1.58 % (2753634)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2753624"
% 3.73/1.58 % (2753633)Instruction limit reached!
% 3.73/1.58 % (2753633)------------------------------
% 3.73/1.58 % (2753633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.58 % (2753633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.58 % (2753633)CaDiCaL version: 2.1.3
% 3.73/1.58 % (2753633)Termination reason: Instruction limit
% 3.73/1.58 % (2753633)Termination phase: Saturation
% 3.73/1.58 % (2753633)Time elapsed: 0.062 s
% 3.73/1.58 % (2753633)Peak memory usage: 88 MB
% 3.73/1.58 % (2753633)Instructions burned: 115 (million)
% 3.73/1.58 % (2753637)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=3106412003:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.73/1.58 % (2753637)Instruction limit reached!
% 3.73/1.58 % (2753637)------------------------------
% 3.73/1.58 % (2753637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.58 % (2753637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.58 % (2753637)CaDiCaL version: 2.1.3
% 3.73/1.58 % (2753637)Termination reason: Instruction limit
% 3.73/1.58 % (2753637)Termination phase: Saturation
% 3.73/1.58 % (2753637)Time elapsed: 0.050 s
% 3.73/1.58 % (2753637)Peak memory usage: 89 MB
% 3.73/1.58 % (2753637)Instructions burned: 146 (million)
% 3.73/1.58 % (2753644)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3610494338: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)
% 3.73/1.58 % (2753632)------------------------------
% 3.73/1.58 % (2753632)------------------------------
% 3.73/1.58 % (2753634)Refutation found. Thanks to Tanya!
% 3.73/1.58 % SZS status Unsatisfiable for theBenchmark
% 3.73/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 3.73/1.58 % (2753634)------------------------------
% 3.73/1.58 % (2753634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.58 % (2753634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.58 % (2753634)CaDiCaL version: 2.1.3
% 3.73/1.58 % (2753634)Termination reason: Refutation
% 3.73/1.58 % (2753634)Time elapsed: 0.005 s
% 3.73/1.58 % (2753634)Peak memory usage: 88 MB
% 3.73/1.58 % (2753634)Instructions burned: 6 (million)
% 3.73/1.58 % (2753634)------------------------------
% 3.73/1.58 % (2753634)------------------------------
% 3.73/1.58 % (2753624)Success in time 0.444 s
% 3.73/1.58 % Vampire exiting
%------------------------------------------------------------------------------