%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN578-1 : 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 : 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 02:01:00 PM UTC 2026
% Result : Unsatisfiable 2.73s 1.15s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 36 ( 10 unt; 2 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 36 ~; 37 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
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(f8,negated_conjecture,
! [X0] : p3(f4(f5(X0)),f4(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
fof(f11,negated_conjecture,
! [X0] :
( p9(X0,f4(c16))
| ~ p9(X0,c13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_11) ).
fof(f14,negated_conjecture,
! [X0,X1] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_14) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p7(X2,X0)
| p9(X0,X1)
| ~ p9(X2,X3)
| ~ p3(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_20) ).
fof(f22,negated_conjecture,
! [X0,X1] :
( ~ p11(X1,c15)
| p9(f8(X0,X1),f4(X1))
| p9(f8(X0,X1),X0)
| ~ p9(c12,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_22) ).
fof(f23,negated_conjecture,
! [X0,X1] :
( ~ p11(X0,c15)
| ~ p9(c12,X1)
| ~ p9(f8(X1,X0),X1)
| ~ p9(f8(X1,X0),f4(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_23) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p9(X0,X2)
| p9(X0,X1) ),
inference(resolution,[],[f20,f2]) ).
fof(f29,plain,
! [X0,X1] :
( ~ p9(X0,f4(f5(X1)))
| p9(X0,f4(X1)) ),
inference(resolution,[],[f25,f8]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ p2(X1,X2)
| p9(X0,f4(X2))
| ~ p9(X0,f4(X1)) ),
inference(resolution,[],[f25,f14]) ).
fof(f34,plain,
! [X0] :
( p9(f8(X0,c14),f4(c14))
| p9(f8(X0,c14),X0)
| ~ p9(c12,X0) ),
inference(resolution,[],[f22,f6]) ).
fof(f36,plain,
! [X0] :
( ~ p9(f8(X0,c14),X0)
| ~ p9(f8(X0,c14),f4(c14))
| ~ p9(c12,X0) ),
inference(resolution,[],[f23,f6]) ).
fof(f40,plain,
! [X0] :
( p9(X0,f4(f5(c14)))
| ~ p9(X0,f4(c16)) ),
inference(resolution,[],[f30,f7]) ).
fof(f42,plain,
! [X0] :
( p9(X0,f4(c14))
| ~ p9(X0,f4(c16)) ),
inference(resolution,[],[f40,f29]) ).
fof(f45,plain,
( ~ p9(f8(f4(c14),c14),f4(c14))
| ~ p9(c12,f4(c14)) ),
inference(factoring,[],[f36]) ).
fof(f48,definition,
( spl0_1
<=> p9(c12,f4(c14)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f49,plain,
( ~ p9(c12,f4(c14))
| spl0_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f51,definition,
( spl0_2
<=> p9(f8(f4(c14),c14),f4(c14)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f52,plain,
( ~ p9(f8(f4(c14),c14),f4(c14))
| spl0_2 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f53,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f45,f51,f48]) ).
fof(f73,plain,
( ~ p9(c12,f4(c16))
| spl0_1 ),
inference(resolution,[],[f42,f49]) ).
fof(f78,plain,
( ~ p9(c12,c13)
| spl0_1 ),
inference(resolution,[],[f73,f11]) ).
fof(f79,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f78,f5]) ).
fof(f80,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f79]) ).
fof(f81,plain,
( p9(f8(f4(c14),c14),f4(c14))
| ~ p9(c12,f4(c14))
| spl0_2 ),
inference(resolution,[],[f52,f34]) ).
fof(f84,plain,
( ~ spl0_1
| spl0_2
| spl0_2 ),
inference(avatar_split_clause,[],[f81,f51,f51,f48]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f53]) ).
cnf(s6,plain,
spl0_1,
inference(sat_conversion,[],[f80]) ).
cnf(s7,plain,
( spl0_2
| ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f84]) ).
cnf(s8,plain,
( ~ spl0_1
| spl0_2 ),
inference(rat,[],[s7]) ).
cnf(s9,plain,
spl0_2,
inference(rat,[],[s8,s6]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s9,s6]) ).
fof(f85,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN578-1 : 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 : n011.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 16:30:31 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 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
% 2.73/1.15 % (3514336)Input is clausal, will run a generic CNF schedule.
% 2.73/1.15 % (3514347)dis-21_1_sil=8000:lcm=predicate:random_seed=3387757470: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)
% 2.73/1.15 % (3514347)First to succeed.
% 2.73/1.15 % (3514347)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3514336"
% 2.73/1.15 % (3514342)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3037556168:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.73/1.15 % (3514345)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2455222647:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.73/1.15 % (3514344)lrs+10_1_sil=8000:sp=occurrence:random_seed=2244038870:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.73/1.15 % (3514341)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=2312943802:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.73/1.15 % (3514343)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=286612168:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.73/1.15 % (3514346)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3240601201:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.73/1.15 % (3514346)Also succeeded, but the first one will report.
% 2.73/1.15 % (3514344)Also succeeded, but the first one will report.
% 2.73/1.15 % (3514345)Instruction limit reached!
% 2.73/1.15 % (3514345)------------------------------
% 2.73/1.15 % (3514345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.15 % (3514345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.15 % (3514345)CaDiCaL version: 2.1.3
% 2.73/1.15 % (3514345)Termination reason: Instruction limit
% 2.73/1.15 % (3514345)Termination phase: Saturation
% 2.73/1.15 % (3514345)Time elapsed: 0.071 s
% 2.73/1.15 % (3514345)Peak memory usage: 88 MB
% 2.73/1.15 % (3514345)Instructions burned: 114 (million)
% 2.73/1.15 % (3514347)Refutation found. Thanks to Tanya!
% 2.73/1.15 % SZS status Unsatisfiable for theBenchmark
% 2.73/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.15 % (3514347)------------------------------
% 2.73/1.15 % (3514347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.15 % (3514347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.15 % (3514347)CaDiCaL version: 2.1.3
% 2.73/1.15 % (3514347)Termination reason: Refutation
% 2.73/1.15 % (3514347)Time elapsed: 0.002 s
% 2.73/1.15 % (3514347)Peak memory usage: 89 MB
% 2.73/1.15 % (3514347)Instructions burned: 2 (million)
% 2.73/1.15 % (3514347)------------------------------
% 2.73/1.15 % (3514347)------------------------------
% 2.73/1.15 % (3514336)Success in time 0.299 s
% 2.73/1.15 % Vampire exiting
%------------------------------------------------------------------------------