%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN093-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 01:49:39 PM UTC 2026
% Result : Unsatisfiable 0.21s 1.13s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 41 ( 10 unt; 7 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 28 ~; 31 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 15 ( 14 usr; 15 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( u_1
| ~ p_1_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s2_goal_1) ).
fof(f2,axiom,
~ u_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_1_s2_goal_1) ).
fof(f5,axiom,
( u_3
| p_1_2
| ~ q_2_2
| ~ q_1_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s2_type11_2) ).
fof(f6,axiom,
( p_1_2
| ~ u_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_3_s2_type11_2) ).
fof(f21,axiom,
( u_11
| q_1_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t2_2) ).
fof(f22,axiom,
( q_1_1
| ~ u_11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_11_t2_2) ).
fof(f25,axiom,
( u_13
| q_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t2_4) ).
fof(f26,axiom,
( q_2_2
| ~ u_13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_13_t2_4) ).
fof(f28,definition,
( spl0_1
<=> u_13 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f31,definition,
( spl0_2
<=> q_2_2 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f33,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f26,f31,f28]) ).
fof(f35,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f25,f28,f31]) ).
fof(f46,definition,
( spl0_5
<=> u_11 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f49,definition,
( spl0_6
<=> q_1_1 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f51,plain,
( ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f22,f49,f46]) ).
fof(f53,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f21,f46,f49]) ).
fof(f77,definition,
( spl0_12
<=> p_1_2 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f111,definition,
( spl0_17
<=> u_3 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f114,plain,
( ~ spl0_17
| spl0_12 ),
inference(avatar_split_clause,[],[f6,f77,f111]) ).
fof(f116,plain,
( ~ spl0_6
| ~ spl0_2
| spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f5,f111,f77,f31,f49]) ).
fof(f124,definition,
( spl0_19
<=> u_1 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f125,plain,
( u_1
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f126,plain,
( ~ spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f1,f124,f77]) ).
fof(f127,plain,
( $false
| ~ spl0_19 ),
inference(resolution,[],[f125,f2]) ).
fof(f128,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f127]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f33]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f35]) ).
cnf(s5,plain,
( ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f51]) ).
cnf(s6,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f53]) ).
cnf(s21,plain,
( spl0_12
| ~ spl0_17 ),
inference(sat_conversion,[],[f114]) ).
cnf(s22,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f116]) ).
cnf(s25,plain,
( ~ spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f126]) ).
cnf(s26,plain,
~ spl0_19,
inference(sat_conversion,[],[f128]) ).
cnf(s27,plain,
~ spl0_12,
inference(rat,[],[s25,s26]) ).
cnf(s30,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_17 ),
inference(rat,[],[s22,s27]) ).
cnf(s31,plain,
~ spl0_17,
inference(rat,[],[s21,s27]) ).
cnf(s32,plain,
spl0_6,
inference(rat,[],[s5,s6]) ).
cnf(s33,plain,
~ spl0_2,
inference(rat,[],[s30,s31,s32]) ).
cnf(s35,plain,
spl0_1,
inference(rat,[],[s2,s33]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s1,s33,s35]) ).
fof(f129,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN093-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n009.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:33:30 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 0.21/1.13 % (3152158)Input is clausal, will run a generic CNF schedule.
% 0.21/1.13 % (3152169)dis-21_1_sil=8000:lcm=predicate:random_seed=3382626857: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)
% 0.21/1.13 % (3152169)First to succeed.
% 0.21/1.13 % (3152169)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3152158"
% 0.21/1.13 % (3152168)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=867739898:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.21/1.13 % (3152166)lrs+10_1_sil=8000:sp=occurrence:random_seed=4139954105:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.21/1.13 % (3152164)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=113990654:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.21/1.13 % (3152163)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=3900441387:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.21/1.13 % (3152167)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=463861694:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.21/1.13 % (3152165)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3631564755:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.21/1.13 % (3152167)Refutation not found, incomplete strategy
% 0.21/1.13 % (3152167)------------------------------
% 0.21/1.13 % (3152167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.13 % (3152167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.13 % (3152167)CaDiCaL version: 2.1.3
% 0.21/1.13 % (3152167)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.13 % (3152167)Time elapsed: 0.0000 s
% 0.21/1.13 % (3152167)Peak memory usage: 86 MB
% 0.21/1.13 % (3152166)Also succeeded, but the first one will report.
% 0.21/1.13 % (3152168)Also succeeded, but the first one will report.
% 0.21/1.13 % (3152169)Refutation found. Thanks to Tanya!
% 0.21/1.13 % SZS status Unsatisfiable for theBenchmark
% 0.21/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.13 % (3152169)------------------------------
% 0.21/1.13 % (3152169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.13 % (3152169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.13 % (3152169)CaDiCaL version: 2.1.3
% 0.21/1.13 % (3152169)Termination reason: Refutation
% 0.21/1.13 % (3152169)Time elapsed: 0.001 s
% 0.21/1.13 % (3152169)Peak memory usage: 89 MB
% 0.21/1.13 % (3152169)Instructions burned: 1 (million)
% 0.21/1.13 % (3152169)------------------------------
% 0.21/1.13 % (3152169)------------------------------
% 0.21/1.13 % (3152158)Success in time 0.276 s
% 0.21/1.13 % Vampire exiting
%------------------------------------------------------------------------------