%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL893+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 12:00:56 PM UTC 2026
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 42 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 13 ~; 10 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 27 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : '+'(X0,'0') = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f5,axiom,
! [X0] : '>='(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
fof(f7,axiom,
! [X0,X1] :
( ( '>='(X0,X1)
& '>='(X1,X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f8,axiom,
! [X0,X1,X2] :
( '>='('+'(X0,X1),X2)
<=> '>='(X1,'==>'(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f9,axiom,
! [X0] : '>='(X0,'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).
fof(f14,axiom,
! [X0] : h(X0) = '==>'(h(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).
fof(f15,conjecture,
! [X0] :
( h(X0) = X0
=> X0 = '0' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
fof(f16,negated_conjecture,
~ ! [X0] :
( h(X0) = X0
=> X0 = '0' ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f19,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f20,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(flattening,[],[f19]) ).
fof(f24,plain,
? [X0] :
( '0' != X0
& h(X0) = X0 ),
inference(ennf_transformation,[],[f16]) ).
fof(f27,plain,
! [X0] : '+'(X0,'0') = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f29,plain,
! [X0] : '>='(X0,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f31,plain,
! [X0,X1] :
( ~ '>='(X1,X0)
| ~ '>='(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ '>='('+'(X0,X1),X2)
| '>='(X1,'==>'(X0,X2)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f34,plain,
! [X0] : '>='(X0,'0'),
inference(cnf_transformation,[],[f9]) ).
fof(f39,plain,
! [X0] : h(X0) = '==>'(h(X0),X0),
inference(cnf_transformation,[],[f14]) ).
fof(f40,plain,
sK0 = h(sK0),
inference(cnf_transformation,[],[f24]) ).
fof(f41,plain,
'0' != sK0,
inference(cnf_transformation,[],[f24]) ).
fof(f50,plain,
sK0 = '==>'(sK0,sK0),
inference(superposition,[],[f39,f40]) ).
fof(f54,plain,
! [X0] :
( ~ '>='('0',X0)
| '0' = X0 ),
inference(resolution,[],[f31,f34]) ).
fof(f64,plain,
! [X0,X1] :
( '>='('0','==>'(X0,X1))
| ~ '>='(X0,X1) ),
inference(superposition,[],[f33,f27]) ).
fof(f297,plain,
( '>='('0',sK0)
| ~ '>='(sK0,sK0) ),
inference(superposition,[],[f64,f50]) ).
fof(f298,plain,
'>='('0',sK0),
inference(forward_subsumption_resolution,[],[f297,f29]) ).
fof(f313,plain,
'0' = sK0,
inference(resolution,[],[f298,f54]) ).
fof(f323,plain,
$false,
inference(forward_subsumption_resolution,[],[f313,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL893+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 % Computer : n014.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Sun Sep 27 17:04:47 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48 % (1015382)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (1015388)% WARNING: option uhcvi not known.
% 0.18/0.48 % (1015388)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1856277810:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (1015388) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1015382-1015388"...
% 0.18/0.48 % (1015388)...printing done.
% 0.18/0.48 % (1015388)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (1015388)------------------------------
% 0.18/0.48 % (1015388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (1015388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (1015388)CaDiCaL version: 2.1.3
% 0.18/0.48 % (1015388)Termination reason: Refutation
% 0.18/0.48 % (1015388)Time elapsed: 0.005 s
% 0.18/0.48 % (1015388)Peak memory usage: 12 MB
% 0.18/0.48 % (1015388)Instructions burned: 10 (million)
% 0.18/0.48 % (1015382)Success in time 0.035 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------