%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO126-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 09:53:39 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 52 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 22 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_13) ).
fof(f30,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',inner_point_defn_21) ).
fof(f31,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',inner_point_defn_22) ).
fof(f40,axiom,
! [X0,X1] :
( ~ end_point(X1,X0)
| ~ closed(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',closed_defn_31) ).
fof(f41,axiom,
! [X0] :
( end_point(ax0_sk6(X0),X0)
| closed(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',closed_defn_32) ).
fof(f42,axiom,
! [X0] :
( end_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',open_defn_33) ).
fof(f46,axiom,
! [X0] : inner_point(ax0_sk8(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',c3_37) ).
fof(f79,axiom,
! [X2,X0,X1] :
( ordered_by(X1,X0,X2)
| X0 = X2
| ~ incident_o(X2,X1)
| ~ start_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',start_point_defn_8) ).
fof(f92,axiom,
! [X0] : open(ax2_sk3(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o2_19) ).
fof(f94,axiom,
! [X0,X1] :
( ~ incident_c(X0,ax2_sk3(X1))
| incident_o(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o2_21) ).
fof(f102,axiom,
! [X0] : start_point(ax2_sk6(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o4_29) ).
fof(f124,negated_conjecture,
! [X0,X1] :
( ~ ordered_by(sk25,X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_11_133) ).
fof(f132,plain,
! [X0] : incident_c(ax0_sk8(X0),X0),
inference(resolution,[],[f30,f46]) ).
fof(f133,plain,
! [X0] : ~ end_point(ax0_sk8(X0),X0),
inference(resolution,[],[f31,f46]) ).
fof(f134,plain,
! [X0] :
( incident_c(ax0_sk6(X0),X0)
| closed(X0) ),
inference(resolution,[],[f41,f22]) ).
fof(f139,plain,
! [X0] :
( ~ open(X0)
| ~ closed(X0) ),
inference(resolution,[],[f42,f40]) ).
fof(f141,plain,
! [X0] : ~ closed(ax2_sk3(X0)),
inference(resolution,[],[f139,f92]) ).
fof(f144,plain,
! [X0] : incident_o(ax0_sk8(ax2_sk3(X0)),X0),
inference(resolution,[],[f94,f132]) ).
fof(f145,plain,
! [X0] :
( incident_o(ax0_sk6(ax2_sk3(X0)),X0)
| closed(ax2_sk3(X0)) ),
inference(resolution,[],[f94,f134]) ).
fof(f148,plain,
! [X0] : incident_o(ax0_sk6(ax2_sk3(X0)),X0),
inference(forward_subsumption_resolution,[],[f145,f141]) ).
fof(f325,plain,
! [X0,X1] :
( X0 = X1
| ~ incident_o(X1,sk25)
| ~ start_point(X0,sk25)
| X0 = X1 ),
inference(resolution,[],[f79,f124]) ).
fof(f330,plain,
! [X0,X1] :
( ~ incident_o(X1,sk25)
| X0 = X1
| ~ start_point(X0,sk25) ),
inference(duplicate_literal_removal,[],[f325]) ).
fof(f334,plain,
! [X0] :
( ~ start_point(X0,sk25)
| ax0_sk6(ax2_sk3(sk25)) = X0 ),
inference(resolution,[],[f330,f148]) ).
fof(f338,plain,
! [X0] :
( ~ start_point(X0,sk25)
| ax0_sk8(ax2_sk3(sk25)) = X0 ),
inference(resolution,[],[f330,f144]) ).
fof(f425,plain,
ax0_sk6(ax2_sk3(sk25)) = ax2_sk6(sk25),
inference(resolution,[],[f334,f102]) ).
fof(f435,plain,
( end_point(ax2_sk6(sk25),ax2_sk3(sk25))
| closed(ax2_sk3(sk25)) ),
inference(superposition,[],[f41,f425]) ).
fof(f436,plain,
end_point(ax2_sk6(sk25),ax2_sk3(sk25)),
inference(forward_subsumption_resolution,[],[f435,f141]) ).
fof(f484,plain,
ax0_sk8(ax2_sk3(sk25)) = ax2_sk6(sk25),
inference(resolution,[],[f338,f102]) ).
fof(f493,plain,
~ end_point(ax2_sk6(sk25),ax2_sk3(sk25)),
inference(superposition,[],[f133,f484]) ).
fof(f496,plain,
$false,
inference(forward_subsumption_resolution,[],[f493,f436]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO126-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 07:09:53 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 % (1981476)Will run a generic schedule for satisfiability detection.
% 0.18/0.46 % (1981485)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=521548077:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.46 % (1981482)% WARNING: option uhcvi not known.
% 0.18/0.46 % (1981481)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=802153996_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.46 % (1981483)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4092578101:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.46 % (1981484)dis+10_1_sil=32000:sp=arity:random_seed=706924823:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.46 % (1981486)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=659319609:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.46 % (1981487)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=139916541:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.46 % (1981482)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2110364087:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.46 % TRYING [1]
% 0.18/0.46 % TRYING [2]
% 0.18/0.46 % TRYING [3]
% 0.18/0.46 % (1981484) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1981476-1981484"...
% 0.18/0.46 % (1981484)...printing done.
% 0.18/0.46 % (1981484)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (1981484)------------------------------
% 0.18/0.46 % (1981484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (1981484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (1981484)CaDiCaL version: 2.1.3
% 0.18/0.46 % (1981484)Termination reason: Refutation
% 0.18/0.46 % (1981484)Time elapsed: 0.013 s
% 0.18/0.46 % (1981484)Peak memory usage: 11 MB
% 0.18/0.46 % (1981484)Instructions burned: 17 (million)
% 0.18/0.46 % (1981476)Success in time 0.05 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------