%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO085-1 : 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 : n007.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 3.47s 1.44s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 21 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 12 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X0] :
( ~ open(X0)
| end_point(ax0_sk7(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',open_defn_33) ).
fof(f51,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| end_point(ax0_sk11(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6_41) ).
fof(f52,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| X0 != ax0_sk11(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6_42) ).
fof(f53,plain,
! [X0,X1] :
( ax0_sk11(X0,X1) != X0
| ~ end_point(X0,X1) ),
inference(reorient_equations,[],[f52]) ).
fof(f66,negated_conjecture,
open(sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_1_67) ).
fof(f67,negated_conjecture,
! [X0,X1] :
( ~ end_point(X0,sk14)
| X0 = X1
| ~ end_point(X1,sk14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_1_68) ).
fof(f74,plain,
end_point(ax0_sk7(sk14),sk14),
inference(resolution,[],[f42,f66]) ).
fof(f76,plain,
! [X0] :
( ~ end_point(X0,sk14)
| ax0_sk7(sk14) = X0 ),
inference(resolution,[],[f74,f67]) ).
fof(f79,plain,
end_point(ax0_sk11(ax0_sk7(sk14),sk14),sk14),
inference(resolution,[],[f51,f74]) ).
fof(f88,plain,
ax0_sk7(sk14) = ax0_sk11(ax0_sk7(sk14),sk14),
inference(resolution,[],[f76,f79]) ).
fof(f93,plain,
( ax0_sk7(sk14) != ax0_sk7(sk14)
| ~ end_point(ax0_sk7(sk14),sk14) ),
inference(superposition,[],[f53,f88]) ).
fof(f94,plain,
~ end_point(ax0_sk7(sk14),sk14),
inference(trivial_inequality_removal,[],[f93]) ).
fof(f95,plain,
$false,
inference(forward_subsumption_resolution,[],[f94,f74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO085-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n007.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sun Sep 27 06:51:39 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 3.47/1.44 % (1055481)Input is clausal, will run a generic CNF schedule.
% 3.47/1.44 % (1055488)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1527609032:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.47/1.44 % (1055491)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3713653683:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.47/1.44 % (1055490)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3697398756:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.47/1.44 % (1055487)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2316548202:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.47/1.44 % (1055486)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=529785804:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.47/1.44 % (1055489)lrs+10_1_sil=8000:sp=occurrence:random_seed=3027016603:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.47/1.44 % (1055490)Refutation not found, incomplete strategy
% 3.47/1.44 % (1055490)------------------------------
% 3.47/1.44 % (1055490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.44 % (1055490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.44 % (1055490)CaDiCaL version: 2.1.3
% 3.47/1.44 % (1055490)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.44 % (1055490)Time elapsed: 0.001 s
% 3.47/1.44 % (1055490)Peak memory usage: 86 MB
% 3.47/1.44 % (1055489)Refutation not found, incomplete strategy
% 3.47/1.44 % (1055489)------------------------------
% 3.47/1.44 % (1055489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.44 % (1055489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.44 % (1055489)CaDiCaL version: 2.1.3
% 3.47/1.44 % (1055489)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.44 % (1055489)Time elapsed: 0.002 s
% 3.47/1.44 % (1055489)Peak memory usage: 87 MB
% 3.47/1.44 % (1055489)Instructions burned: 1 (million)
% 3.47/1.44 % (1055491)First to succeed.
% 3.47/1.44 % (1055491)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1055481"
% 3.47/1.44 % (1055492)dis-21_1_sil=8000:lcm=predicate:random_seed=3015096457: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)
% 3.47/1.44 % (1055492)Instruction limit reached!
% 3.47/1.44 % (1055492)------------------------------
% 3.47/1.44 % (1055492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.44 % (1055492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.44 % (1055492)CaDiCaL version: 2.1.3
% 3.47/1.44 % (1055492)Termination reason: Instruction limit
% 3.47/1.44 % (1055492)Termination phase: Saturation
% 3.47/1.44 % (1055492)Time elapsed: 0.066 s
% 3.47/1.44 % (1055492)Peak memory usage: 88 MB
% 3.47/1.44 % (1055492)Instructions burned: 118 (million)
% 3.47/1.44 % (1055500)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=4206444514:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.47/1.44 % (1055500)Refutation not found, incomplete strategy
% 3.47/1.44 % (1055500)------------------------------
% 3.47/1.44 % (1055500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.44 % (1055500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.44 % (1055500)CaDiCaL version: 2.1.3
% 3.47/1.44 % (1055500)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.44 % (1055500)Time elapsed: 0.002 s
% 3.47/1.44 % (1055500)Peak memory usage: 87 MB
% 3.47/1.44 % (1055500)Instructions burned: 1 (million)
% 3.47/1.44 % (1055490)------------------------------
% 3.47/1.44 % (1055490)------------------------------
% 3.47/1.44 % (1055489)------------------------------
% 3.47/1.44 % (1055489)------------------------------
% 3.47/1.44 % (1055491)Refutation found. Thanks to Tanya!
% 3.47/1.44 % SZS status Unsatisfiable for theBenchmark
% 3.47/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.44 % (1055491)------------------------------
% 3.47/1.44 % (1055491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.44 % (1055491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.44 % (1055491)CaDiCaL version: 2.1.3
% 3.47/1.44 % (1055491)Termination reason: Refutation
% 3.47/1.44 % (1055491)Time elapsed: 0.003 s
% 3.47/1.44 % (1055491)Peak memory usage: 88 MB
% 3.47/1.44 % (1055491)Instructions burned: 3 (million)
% 3.47/1.44 % (1055491)------------------------------
% 3.47/1.44 % (1055491)------------------------------
% 3.47/1.44 % (1055481)Success in time 0.404 s
% 3.47/1.44 % Vampire exiting
%------------------------------------------------------------------------------