%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD058-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 09:49:16 AM UTC 2026
% Result : Unsatisfiable 2.77s 1.17s
% Output : Refutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 11 unt; 2 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 23 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_of_order_relation) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X1)
| ~ equalish(X0,X2)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f26,axiom,
! [X2,X0,X1] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X2,X1)
| ~ equalish(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_order_relation) ).
fof(f30,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f31,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f32,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_5) ).
fof(f33,negated_conjecture,
equalish(b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_equals_additive_identity_6) ).
fof(f95,plain,
! [X0] :
( ~ equalish(a,X0)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f23,f32]) ).
fof(f265,plain,
~ equalish(a,b),
inference(resolution,[],[f95,f33]) ).
fof(f743,plain,
( ~ less_or_equal(a,b)
| ~ less_or_equal(b,a) ),
inference(resolution,[],[f265,f16]) ).
fof(f746,definition,
( spl0_78
<=> less_or_equal(b,a) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f747,plain,
( ~ less_or_equal(b,a)
| spl0_78 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f749,definition,
( spl0_79
<=> less_or_equal(a,b) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f750,plain,
( ~ less_or_equal(a,b)
| spl0_79 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f751,plain,
( ~ spl0_78
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f743,f749,f746]) ).
fof(f753,plain,
( ! [X0] :
( ~ less_or_equal(X0,a)
| ~ equalish(X0,b) )
| spl0_78 ),
inference(resolution,[],[f747,f26]) ).
fof(f763,plain,
( ~ equalish(additive_identity,b)
| spl0_78 ),
inference(resolution,[],[f753,f30]) ).
fof(f768,plain,
( $false
| spl0_79 ),
inference(resolution,[],[f750,f31]) ).
fof(f772,plain,
spl0_79,
inference(avatar_contradiction_clause,[],[f768]) ).
fof(f828,plain,
( ~ equalish(b,additive_identity)
| spl0_78 ),
inference(resolution,[],[f763,f22]) ).
fof(f865,plain,
( $false
| spl0_78 ),
inference(resolution,[],[f828,f33]) ).
fof(f870,plain,
spl0_78,
inference(avatar_contradiction_clause,[],[f865]) ).
cnf(s88,plain,
( ~ spl0_78
| ~ spl0_79 ),
inference(sat_conversion,[],[f751]) ).
cnf(s91,plain,
spl0_79,
inference(sat_conversion,[],[f772]) ).
cnf(s113,plain,
spl0_78,
inference(sat_conversion,[],[f870]) ).
cnf(s116,plain,
$false,
inference(rat,[],[s88,s91,s113]) ).
fof(f876,plain,
$false,
inference(avatar_sat_refutation,[],[s116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD058-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n014.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 00:43:16 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 2.77/1.17 % (2339101)Input is clausal, will run a generic CNF schedule.
% 2.77/1.17 % (2339112)dis-21_1_sil=8000:lcm=predicate:random_seed=682601933: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)
% 2.77/1.17 % (2339112)First to succeed.
% 2.77/1.17 % (2339112)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2339101"
% 2.77/1.17 % (2339107)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=875870697:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.77/1.17 % (2339110)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3148618079:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.77/1.17 % (2339109)lrs+10_1_sil=8000:sp=occurrence:random_seed=3261674654:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.77/1.17 % (2339108)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1747196201:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.77/1.17 % (2339106)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=1666227379:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.77/1.17 % (2339111)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=672416788:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.77/1.17 % (2339110)Also succeeded, but the first one will report.
% 2.77/1.17 % (2339111)Also succeeded, but the first one will report.
% 2.77/1.17 % (2339109)Also succeeded, but the first one will report.
% 2.77/1.17 % (2339112)Refutation found. Thanks to Tanya!
% 2.77/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.77/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.77/1.17 % (2339112)------------------------------
% 2.77/1.17 % (2339112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.17 % (2339112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.17 % (2339112)CaDiCaL version: 2.1.3
% 2.77/1.17 % (2339112)Termination reason: Refutation
% 2.77/1.17 % (2339112)Time elapsed: 0.007 s
% 2.77/1.17 % (2339112)Peak memory usage: 89 MB
% 2.77/1.17 % (2339112)Instructions burned: 16 (million)
% 2.77/1.17 % (2339112)------------------------------
% 2.77/1.17 % (2339112)------------------------------
% 2.77/1.17 % (2339101)Success in time 0.301 s
% 2.77/1.17 % Vampire exiting
%------------------------------------------------------------------------------