%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO232+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 09:54:10 AM UTC 2026
% Result : Theorem 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 35 ( 16 ~; 13 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 12 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] : ~ unequally_directed_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag5) ).
fof(f13,axiom,
! [X0,X1] :
( ( line(X0)
& line(X1) )
=> ( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag8) ).
fof(f32,conjecture,
! [X0] :
( line(X0)
=> unequally_directed_lines(X0,reverse_line(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0] :
( line(X0)
=> unequally_directed_lines(X0,reverse_line(X0)) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f44,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X0)
| ~ line(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f45,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X0)
| ~ line(X1) ),
inference(flattening,[],[f44]) ).
fof(f70,plain,
? [X0] :
( ~ unequally_directed_lines(X0,reverse_line(X0))
& line(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f71,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK0))
& line(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f70]) ).
fof(f78,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f84,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X0)
| ~ line(X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f107,plain,
line(sK0),
inference(cnf_transformation,[],[f71]) ).
fof(f108,plain,
~ unequally_directed_lines(sK0,reverse_line(sK0)),
inference(cnf_transformation,[],[f71]) ).
fof(f113,plain,
( unequally_directed_lines(sK0,sK0)
| ~ line(sK0)
| ~ line(sK0) ),
inference(resolution,[],[f84,f108]) ).
fof(f114,plain,
( unequally_directed_lines(sK0,sK0)
| ~ line(sK0) ),
inference(duplicate_literal_removal,[],[f113]) ).
fof(f115,plain,
~ line(sK0),
inference(forward_subsumption_resolution,[],[f114,f78]) ).
fof(f117,plain,
$false,
inference(forward_subsumption_resolution,[],[f115,f107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO232+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n011.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 07:47:30 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.16/0.48 % (2072492)Will run a generic schedule for satisfiability detection.
% 0.16/0.48 % (2072497)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3796067130_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.48 % TRYING [1]
% 0.16/0.48 % TRYING [2]
% 0.16/0.48 % TRYING [3]
% 0.16/0.48 % TRYING [4]
% 0.16/0.48 % (2072498)% WARNING: option uhcvi not known.
% 0.16/0.48 % TRYING [5]
% 0.16/0.48 % (2072499)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=595107446:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.48 % (2072498)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1576667824:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.48 % (2072502)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=827771144:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.48 % (2072500)dis+10_1_sil=32000:sp=arity:random_seed=3435012434:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.48 % (2072501)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2528135924:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.48 % (2072503)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1834000602:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.48 % (2072500) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2072492-2072500"...
% 0.16/0.48 % (2072498) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2072492-2072498"...
% 0.16/0.48 % TRYING [6]
% 0.16/0.48 % (2072502) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2072492-2072502"...
% 0.16/0.48 % (2072499) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2072492-2072499"...
% 0.16/0.48 % (2072498)...printing done.
% 0.16/0.48 % (2072500)...printing done.
% 0.16/0.48 % (2072502)...printing done.
% 0.16/0.48 % (2072503) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2072492-2072503"...
% 0.16/0.48 % (2072500)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Theorem for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (2072500)------------------------------
% 0.16/0.48 % (2072500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (2072500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (2072500)CaDiCaL version: 2.1.3
% 0.16/0.48 % (2072500)Termination reason: Refutation
% 0.16/0.48 % (2072500)Time elapsed: 0.002 s
% 0.16/0.48 % (2072500)Peak memory usage: 11 MB
% 0.16/0.48 % (2072500)Instructions burned: 1 (million)
% 0.16/0.48 % (2072492)Success in time 0.046 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------