%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO083-1 : 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 : n005.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 3.41s 1.15s
% Output : Refutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 48 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 50 ( 25 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ part_of(X0,X1)
| ~ incident_c(X2,X0)
| incident_c(X2,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(f6,axiom,
! [X2,X3,X0,X1] :
( X0 != sum(X1,X2)
| ~ incident_c(X3,X1)
| incident_c(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn_5) ).
fof(f7,plain,
! [X2,X3,X0,X1] :
( sum(X1,X2) != X0
| ~ incident_c(X3,X1)
| incident_c(X3,X0) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( X0 != sum(X1,X2)
| ~ incident_c(X3,X2)
| incident_c(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn_6) ).
fof(f9,plain,
! [X2,X3,X0,X1] :
( sum(X1,X2) != X0
| ~ incident_c(X3,X2)
| incident_c(X3,X0) ),
inference(reorient_equations,[],[f8]) ).
fof(f66,negated_conjecture,
part_of(sk15,sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_1_67) ).
fof(f69,negated_conjecture,
~ part_of(sum(sk14,sk15),sum(sk14,sk16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_1_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(f71,plain,
! [X2,X3,X1] :
( incident_c(X3,sum(X1,X2))
| ~ incident_c(X3,X1) ),
inference(equality_resolution,[],[f7]) ).
fof(f72,plain,
! [X2,X3,X1] :
( incident_c(X3,sum(X1,X2))
| ~ incident_c(X3,X2) ),
inference(equality_resolution,[],[f9]) ).
fof(f74,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sum(sk14,sk16)),
inference(resolution,[],[f3,f69]) ).
fof(f77,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk14),
inference(resolution,[],[f71,f74]) ).
fof(f80,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk16),
inference(resolution,[],[f72,f74]) ).
fof(f83,plain,
! [X0] :
( incident_c(X0,sk16)
| ~ incident_c(X0,sk15) ),
inference(resolution,[],[f1,f66]) ).
fof(f85,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk15),
inference(resolution,[],[f83,f80]) ).
fof(f93,plain,
! [X0] :
( ~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sum(sk14,X0))
| incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),X0) ),
inference(resolution,[],[f70,f77]) ).
fof(f2418,plain,
( incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk15)
| part_of(sum(sk14,sk15),sum(sk14,sk16)) ),
inference(resolution,[],[f93,f2]) ).
fof(f2424,plain,
part_of(sum(sk14,sk15),sum(sk14,sk16)),
inference(forward_subsumption_resolution,[],[f2418,f85]) ).
fof(f2425,plain,
$false,
inference(forward_subsumption_resolution,[],[f2424,f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO083-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n005.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 06:53:17 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 3.41/1.15 % (3638858)Input is clausal, will run a generic CNF schedule.
% 3.41/1.15 % (3638863)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=143115095:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.41/1.15 % (3638865)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1934114396:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.41/1.15 % (3638867)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=318901427:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.41/1.15 % (3638864)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1792794205:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.41/1.15 % (3638869)dis-21_1_sil=8000:lcm=predicate:random_seed=4174121482: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)
% 3.41/1.15 % (3638866)lrs+10_1_sil=8000:sp=occurrence:random_seed=1186503466:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.41/1.15 % (3638868)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=705219041:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.41/1.15 % (3638866)Refutation not found, incomplete strategy
% 3.41/1.15 % (3638866)------------------------------
% 3.41/1.15 % (3638866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.15 % (3638866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.15 % (3638866)CaDiCaL version: 2.1.3
% 3.41/1.15 % (3638866)Termination reason: Refutation not found, incomplete strategy
% 3.41/1.15 % (3638866)Time elapsed: 0.005 s
% 3.41/1.15 % (3638866)Peak memory usage: 88 MB
% 3.41/1.15 % (3638866)Instructions burned: 6 (million)
% 3.41/1.15 % (3638867)Instruction limit reached!
% 3.41/1.15 % (3638867)------------------------------
% 3.41/1.15 % (3638867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.15 % (3638867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.15 % (3638867)CaDiCaL version: 2.1.3
% 3.41/1.15 % (3638867)Termination reason: Instruction limit
% 3.41/1.15 % (3638867)Termination phase: Saturation
% 3.41/1.15 % (3638867)Time elapsed: 0.062 s
% 3.41/1.15 % (3638867)Peak memory usage: 88 MB
% 3.41/1.15 % (3638867)Instructions burned: 115 (million)
% 3.41/1.15 % (3638869)Instruction limit reached!
% 3.41/1.15 % (3638869)------------------------------
% 3.41/1.15 % (3638869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.15 % (3638869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.15 % (3638869)CaDiCaL version: 2.1.3
% 3.41/1.15 % (3638869)Termination reason: Instruction limit
% 3.41/1.15 % (3638869)Termination phase: Saturation
% 3.41/1.15 % (3638869)Time elapsed: 0.063 s
% 3.41/1.15 % (3638869)Peak memory usage: 88 MB
% 3.41/1.15 % (3638869)Instructions burned: 118 (million)
% 3.41/1.15 % (3638868)First to succeed.
% 3.41/1.15 % (3638868)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3638858"
% 3.41/1.15 % (3638878)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1339787884: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)
% 3.41/1.15 % (3638877)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=1458849232:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.41/1.15 % (3638877)Refutation not found, incomplete strategy
% 3.41/1.15 % (3638877)------------------------------
% 3.41/1.15 % (3638877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.15 % (3638877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.15 % (3638877)CaDiCaL version: 2.1.3
% 3.41/1.15 % (3638877)Termination reason: Refutation not found, incomplete strategy
% 3.41/1.15 % (3638877)Time elapsed: 0.011 s
% 3.41/1.15 % (3638877)Peak memory usage: 88 MB
% 3.41/1.15 % (3638877)Instructions burned: 13 (million)
% 3.41/1.15 % (3638866)------------------------------
% 3.41/1.15 % (3638866)------------------------------
% 3.41/1.15 % (3638868)Refutation found. Thanks to Tanya!
% 3.41/1.15 % SZS status Unsatisfiable for theBenchmark
% 3.41/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 3.41/1.15 % (3638868)------------------------------
% 3.41/1.15 % (3638868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.15 % (3638868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.15 % (3638868)CaDiCaL version: 2.1.3
% 3.41/1.15 % (3638868)Termination reason: Refutation
% 3.41/1.15 % (3638868)Time elapsed: 0.103 s
% 3.41/1.15 % (3638868)Peak memory usage: 89 MB
% 3.41/1.15 % (3638868)Instructions burned: 152 (million)
% 3.41/1.15 % (3638868)------------------------------
% 3.41/1.15 % (3638868)------------------------------
% 3.41/1.15 % (3638858)Success in time 0.436 s
% 3.41/1.15 % Vampire exiting
%------------------------------------------------------------------------------