%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN579-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 02:01:00 PM UTC 2026
% Result : Unsatisfiable 0.21s 1.14s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 38 ( 13 unt; 1 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 93 ( 49 ~; 43 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_5) ).
fof(f6,negated_conjecture,
p11(c14,c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_6) ).
fof(f7,negated_conjecture,
p2(c16,f5(c14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
fof(f9,negated_conjecture,
! [X0] : p3(f6(f5(X0)),f6(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_9) ).
fof(f11,negated_conjecture,
! [X0] :
( p9(X0,f6(c16))
| ~ p9(X0,c13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_11) ).
fof(f13,negated_conjecture,
! [X0,X1] :
( p3(f6(X0),f6(X1))
| ~ p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_13) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).
fof(f18,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p9(X2,X3)
| ~ p7(X2,X0)
| p9(X0,X1)
| ~ p3(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_20) ).
fof(f22,negated_conjecture,
! [X0,X1] :
( p9(f8(X0,X1),f6(X1))
| p9(f8(X0,X1),X0)
| ~ p11(X1,c15)
| ~ p9(c12,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_22) ).
fof(f23,negated_conjecture,
! [X0,X1] :
( ~ p9(f8(X1,X0),f6(X0))
| ~ p9(c12,X1)
| ~ p9(f8(X1,X0),X1)
| ~ p11(X0,c15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_23) ).
fof(f31,plain,
! [X0,X1] :
( ~ p3(f6(f5(X0)),X1)
| p3(X1,f6(X0)) ),
inference(resolution,[],[f17,f9]) ).
fof(f34,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p2(X1,X0) ),
inference(resolution,[],[f18,f4]) ).
fof(f44,plain,
p2(f5(c14),c16),
inference(resolution,[],[f34,f7]) ).
fof(f58,plain,
! [X0] :
( p9(f8(f6(X0),X0),f6(X0))
| ~ p11(X0,c15)
| ~ p9(c12,f6(X0)) ),
inference(factoring,[],[f22]) ).
fof(f60,definition,
( spl0_1
<=> p9(c12,f6(c16)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f61,plain,
( p9(c12,f6(c16))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f62,plain,
( ~ p9(c12,f6(c16))
| spl0_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f78,plain,
( ~ p9(c12,c13)
| spl0_1 ),
inference(resolution,[],[f62,f11]) ).
fof(f79,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f78,f5]) ).
fof(f80,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f79]) ).
fof(f82,plain,
( ! [X0,X1] :
( ~ p3(f6(c16),X1)
| p9(X0,X1)
| ~ p7(c12,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f61,f20]) ).
fof(f99,plain,
! [X0,X1] :
( p3(f6(X0),f6(X1))
| ~ p2(f5(X1),X0) ),
inference(resolution,[],[f31,f13]) ).
fof(f145,plain,
! [X0] :
( ~ p11(X0,c15)
| ~ p9(c12,f6(X0))
| ~ p9(c12,f6(X0))
| ~ p9(f8(f6(X0),X0),f6(X0))
| ~ p11(X0,c15) ),
inference(resolution,[],[f58,f23]) ).
fof(f148,plain,
! [X0] :
( ~ p11(X0,c15)
| ~ p9(c12,f6(X0))
| ~ p9(f8(f6(X0),X0),f6(X0)) ),
inference(duplicate_literal_removal,[],[f145]) ).
fof(f149,plain,
! [X0] :
( ~ p9(c12,f6(X0))
| ~ p11(X0,c15) ),
inference(forward_subsumption_resolution,[],[f148,f58]) ).
fof(f222,plain,
( ! [X0,X1] :
( ~ p2(f5(X1),c16)
| ~ p7(c12,X0)
| p9(X0,f6(X1)) )
| ~ spl0_1 ),
inference(resolution,[],[f82,f99]) ).
fof(f697,plain,
( ! [X0] :
( p9(X0,f6(c14))
| ~ p7(c12,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f222,f44]) ).
fof(f704,plain,
( ~ p7(c12,c12)
| ~ p11(c14,c15)
| ~ spl0_1 ),
inference(resolution,[],[f697,f149]) ).
fof(f705,plain,
( ~ p11(c14,c15)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f704,f2]) ).
fof(f707,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f705,f6]) ).
fof(f708,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f707]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f80]) ).
cnf(s11,plain,
~ spl0_1,
inference(sat_conversion,[],[f708]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s3,s11]) ).
fof(f709,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN579-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n009.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 16:30:30 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 0.21/1.14 % (3201524)Input is clausal, will run a generic CNF schedule.
% 0.21/1.14 % (3201532)lrs+10_1_sil=8000:sp=occurrence:random_seed=1651064698:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.21/1.14 % (3201532)First to succeed.
% 0.21/1.14 % (3201532)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3201524"
% 0.21/1.14 % (3201533)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3825699065:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.21/1.14 % (3201530)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=175879505:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.21/1.14 % (3201529)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=2514187184:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.21/1.14 % (3201531)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3056656572:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.21/1.14 % (3201535)dis-21_1_sil=8000:lcm=predicate:random_seed=2071087337: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)
% 0.21/1.14 % (3201534)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4107170925:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.21/1.14 % (3201535)Also succeeded, but the first one will report.
% 0.21/1.14 % (3201534)Also succeeded, but the first one will report.
% 0.21/1.14 % (3201533)Instruction limit reached!
% 0.21/1.14 % (3201533)------------------------------
% 0.21/1.14 % (3201533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.14 % (3201533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.14 % (3201533)CaDiCaL version: 2.1.3
% 0.21/1.14 % (3201533)Termination reason: Instruction limit
% 0.21/1.14 % (3201533)Termination phase: Saturation
% 0.21/1.14 % (3201533)Time elapsed: 0.072 s
% 0.21/1.14 % (3201533)Peak memory usage: 88 MB
% 0.21/1.14 % (3201533)Instructions burned: 115 (million)
% 0.21/1.14 % (3201532)Refutation found. Thanks to Tanya!
% 0.21/1.14 % SZS status Unsatisfiable for theBenchmark
% 0.21/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.14 % (3201532)------------------------------
% 0.21/1.14 % (3201532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.14 % (3201532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.14 % (3201532)CaDiCaL version: 2.1.3
% 0.21/1.14 % (3201532)Termination reason: Refutation
% 0.21/1.14 % (3201532)Time elapsed: 0.010 s
% 0.21/1.14 % (3201532)Peak memory usage: 89 MB
% 0.21/1.14 % (3201532)Instructions burned: 26 (million)
% 0.21/1.14 % (3201532)------------------------------
% 0.21/1.14 % (3201532)------------------------------
% 0.21/1.14 % (3201524)Success in time 0.274 s
% 0.21/1.14 % Vampire exiting
%------------------------------------------------------------------------------