%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO084-1 : 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 09:51:29 AM UTC 2026
% Result : Unsatisfiable 0.19s 1.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 32 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 15 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 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(f2,axiom,
! [X0,X1] :
( incident_c(ax0_sk1(X0,X1),X0)
| part_of(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_2) ).
fof(f3,axiom,
! [X0,X1] :
( part_of(X0,X1)
| ~ incident_c(ax0_sk1(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_3) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( X0 != sum(X1,X2)
| ~ incident_c(X3,X0)
| incident_c(X3,X1)
| incident_c(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn_4) ).
fof(f5,plain,
! [X2,X3,X0,X1] :
( sum(X1,X2) != X0
| ~ incident_c(X3,X0)
| incident_c(X3,X1)
| incident_c(X3,X2) ),
inference(reorient_equations,[],[f4]) ).
fof(f66,negated_conjecture,
part_of(sk14,sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_2_67) ).
fof(f67,negated_conjecture,
part_of(sk15,sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_2_68) ).
fof(f69,negated_conjecture,
~ part_of(sum(sk14,sk15),sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_2_70) ).
fof(f70,plain,
! [X2,X3,X1] :
( incident_c(X3,X1)
| ~ incident_c(X3,sum(X1,X2))
| incident_c(X3,X2) ),
inference(equality_resolution,[],[f5]) ).
fof(f74,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk16),
inference(resolution,[],[f3,f69]) ).
fof(f78,plain,
! [X0] :
( ~ part_of(X0,sk16)
| ~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),X0) ),
inference(resolution,[],[f1,f74]) ).
fof(f79,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk14),
inference(resolution,[],[f78,f66]) ).
fof(f80,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk15),
inference(resolution,[],[f78,f67]) ).
fof(f91,plain,
! [X0] :
( ~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sum(sk14,X0))
| incident_c(ax0_sk1(sum(sk14,sk15),sk16),X0) ),
inference(resolution,[],[f70,f79]) ).
fof(f291,plain,
( incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk15)
| part_of(sum(sk14,sk15),sk16) ),
inference(resolution,[],[f91,f2]) ).
fof(f298,plain,
part_of(sum(sk14,sk15),sk16),
inference(forward_subsumption_resolution,[],[f291,f80]) ).
fof(f299,plain,
$false,
inference(forward_subsumption_resolution,[],[f298,f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO084-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n010.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 06:54:01 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.19/1.51 % (591402)Input is clausal, will run a generic CNF schedule.
% 0.19/1.51 % (591413)dis-21_1_sil=8000:lcm=predicate:random_seed=1491995420: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)
% 0.19/1.51 % (591413)Instruction limit reached!
% 0.19/1.51 % (591413)------------------------------
% 0.19/1.51 % (591413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.51 % (591413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.51 % (591413)CaDiCaL version: 2.1.3
% 0.19/1.51 % (591413)Termination reason: Instruction limit
% 0.19/1.51 % (591413)Termination phase: Saturation
% 0.19/1.51 % (591413)Time elapsed: 0.037 s
% 0.19/1.51 % (591413)Peak memory usage: 88 MB
% 0.19/1.51 % (591413)Instructions burned: 118 (million)
% 0.19/1.51 % (591407)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=257284184:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.51 % (591408)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2104590640:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.51 % (591409)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=549711240:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.51 % (591410)lrs+10_1_sil=8000:sp=occurrence:random_seed=1622623716:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.51 % (591411)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3576497478:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.51 % (591412)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2688879607:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.51 % (591410)Refutation not found, incomplete strategy
% 0.19/1.51 % (591410)------------------------------
% 0.19/1.51 % (591410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.51 % (591410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.51 % (591410)CaDiCaL version: 2.1.3
% 0.19/1.51 % (591410)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.51 % (591410)Time elapsed: 0.004 s
% 0.19/1.51 % (591410)Peak memory usage: 88 MB
% 0.19/1.51 % (591410)Instructions burned: 4 (million)
% 0.19/1.51 % (591412)First to succeed.
% 0.19/1.51 % (591412)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-591402"
% 0.19/1.51 % (591411)Instruction limit reached!
% 0.19/1.51 % (591411)------------------------------
% 0.19/1.51 % (591411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.51 % (591411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.51 % (591411)CaDiCaL version: 2.1.3
% 0.19/1.51 % (591411)Termination reason: Instruction limit
% 0.19/1.51 % (591411)Termination phase: Saturation
% 0.19/1.51 % (591411)Time elapsed: 0.061 s
% 0.19/1.51 % (591411)Peak memory usage: 88 MB
% 0.19/1.51 % (591411)Instructions burned: 114 (million)
% 0.19/1.51 % (591415)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=1231768319:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.19/1.51 % (591415)Refutation not found, incomplete strategy
% 0.19/1.51 % (591415)------------------------------
% 0.19/1.51 % (591415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.51 % (591415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.51 % (591415)CaDiCaL version: 2.1.3
% 0.19/1.51 % (591415)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.51 % (591415)Time elapsed: 0.006 s
% 0.19/1.51 % (591415)Peak memory usage: 88 MB
% 0.19/1.51 % (591415)Instructions burned: 14 (million)
% 0.19/1.51 % (591422)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=35286501: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)
% 0.19/1.51 % (591410)------------------------------
% 0.19/1.51 % (591410)------------------------------
% 0.19/1.51 % (591412)Refutation found. Thanks to Tanya!
% 0.19/1.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.51 % (591412)------------------------------
% 0.19/1.51 % (591412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.51 % (591412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.51 % (591412)CaDiCaL version: 2.1.3
% 0.19/1.51 % (591412)Termination reason: Refutation
% 0.19/1.51 % (591412)Time elapsed: 0.013 s
% 0.19/1.51 % (591412)Peak memory usage: 88 MB
% 0.19/1.51 % (591412)Instructions burned: 16 (million)
% 0.19/1.51 % (591412)------------------------------
% 0.19/1.51 % (591412)------------------------------
% 0.19/1.51 % (591402)Success in time 0.453 s
% 0.19/1.51 % Vampire exiting
%------------------------------------------------------------------------------