%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN260-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:50:02 PM UTC 2026
% Result : Unsatisfiable 2.71s 1.17s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 8 unt; 2 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f110,axiom,
! [X0,X1] :
( p1(X0,X0,X0)
| ~ s0(X1)
| ~ s0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_072) ).
fof(f369,negated_conjecture,
! [X0] : ~ p1(X0,d,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f666,definition,
( spl0_85
<=> ! [X3] : ~ s0(X3) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f667,plain,
( ! [X3] : ~ s0(X3)
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f1122,definition,
( spl0_214
<=> ! [X0] :
( p1(X0,X0,X0)
| ~ s0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).
fof(f1123,plain,
( ! [X0] :
( ~ s0(X0)
| p1(X0,X0,X0) )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f1122]) ).
fof(f1124,plain,
( spl0_85
| spl0_214 ),
inference(avatar_split_clause,[],[f110,f1122,f666]) ).
fof(f1410,plain,
( $false
| ~ spl0_85 ),
inference(resolution,[],[f667,f1]) ).
fof(f1411,plain,
~ spl0_85,
inference(avatar_contradiction_clause,[],[f1410]) ).
fof(f1444,plain,
( p1(d,d,d)
| ~ spl0_214 ),
inference(resolution,[],[f1123,f1]) ).
fof(f1446,plain,
( $false
| ~ spl0_214 ),
inference(resolution,[],[f1444,f369]) ).
fof(f1447,plain,
~ spl0_214,
inference(avatar_contradiction_clause,[],[f1446]) ).
cnf(s111,plain,
( spl0_85
| spl0_214 ),
inference(sat_conversion,[],[f1124]) ).
cnf(s155,plain,
~ spl0_85,
inference(sat_conversion,[],[f1411]) ).
cnf(s169,plain,
~ spl0_214,
inference(sat_conversion,[],[f1447]) ).
cnf(s188,plain,
$false,
inference(rat,[],[s111,s169,s155]) ).
fof(f1448,plain,
$false,
inference(avatar_sat_refutation,[],[s188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN260-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n019.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:39:03 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.71/1.17 % (4103106)Input is clausal, will run a generic CNF schedule.
% 2.71/1.17 % (4103185)dis-21_1_sil=8000:lcm=predicate:random_seed=38909268: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)
% 2.71/1.17 % (4103185)First to succeed.
% 2.71/1.17 % (4103185)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4103106"
% 2.71/1.17 % (4103180)lrs+10_1_sil=8000:sp=occurrence:random_seed=1581452111:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.71/1.17 % (4103177)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=1036719354:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.71/1.17 % (4103178)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=580805878:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.71/1.17 % (4103179)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1091463603:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.71/1.17 % (4103180)Refutation not found, incomplete strategy
% 2.71/1.17 % (4103180)------------------------------
% 2.71/1.17 % (4103180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.17 % (4103180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.17 % (4103180)CaDiCaL version: 2.1.3
% 2.71/1.17 % (4103180)Termination reason: Refutation not found, incomplete strategy
% 2.71/1.17 % (4103180)Time elapsed: 0.004 s
% 2.71/1.17 % (4103180)Peak memory usage: 88 MB
% 2.71/1.17 % (4103180)Instructions burned: 4 (million)
% 2.71/1.17 % (4103182)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=483893970:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.71/1.17 % (4103184)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4097607148:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.71/1.17 % (4103182)Also succeeded, but the first one will report.
% 2.71/1.17 % (4103184)Also succeeded, but the first one will report.
% 2.71/1.17 % (4103185)Refutation found. Thanks to Tanya!
% 2.71/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.71/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/1.17 % (4103185)------------------------------
% 2.71/1.17 % (4103185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.17 % (4103185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.17 % (4103185)CaDiCaL version: 2.1.3
% 2.71/1.17 % (4103185)Termination reason: Refutation
% 2.71/1.17 % (4103185)Time elapsed: 0.006 s
% 2.71/1.17 % (4103185)Peak memory usage: 90 MB
% 2.71/1.17 % (4103185)Instructions burned: 13 (million)
% 2.71/1.17 % (4103185)------------------------------
% 2.71/1.17 % (4103185)------------------------------
% 2.71/1.17 % (4103106)Success in time 0.301 s
% 2.71/1.17 % Vampire exiting
%------------------------------------------------------------------------------