%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN072-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:49:14 PM UTC 2026
% Result : Unsatisfiable 3.48s 1.25s
% Output : Refutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 51 ( 11 unt; 5 def)
% Number of atoms : 95 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 84 ( 40 ~; 39 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( X0 = c
| X0 = d ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,plain,
! [X0] :
( d = X0
| c = X0 ),
inference(reorient_equations,[],[f1]) ).
fof(f3,axiom,
big_p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f4,axiom,
big_p(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f5,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f6,negated_conjecture,
~ big_p(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f8,plain,
( big_p(d)
| c = a ),
inference(superposition,[],[f3,f2]) ).
fof(f9,plain,
( d != a
| c = b ),
inference(superposition,[],[f5,f2]) ).
fof(f10,plain,
( big_p(d)
| c = b ),
inference(superposition,[],[f4,f2]) ).
fof(f11,plain,
( ~ big_p(d)
| c = e ),
inference(superposition,[],[f6,f2]) ).
fof(f22,definition,
( spl0_3
<=> c = e ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f24,plain,
( c = e
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f26,definition,
( spl0_4
<=> big_p(d) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f29,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f11,f26,f22]) ).
fof(f31,definition,
( spl0_5
<=> c = b ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f33,plain,
( c = b
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f34,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f10,f26,f31]) ).
fof(f36,definition,
( spl0_6
<=> d = a ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f38,plain,
( d != a
| spl0_6 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f39,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f9,f36,f31]) ).
fof(f41,definition,
( spl0_7
<=> c = a ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f43,plain,
( c = a
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f8,f26,f41]) ).
fof(f47,plain,
( ~ big_p(c)
| ~ spl0_3 ),
inference(superposition,[],[f6,f24]) ).
fof(f49,plain,
( d != d
| c = a
| spl0_6 ),
inference(superposition,[],[f38,f2]) ).
fof(f50,plain,
( c = a
| spl0_6 ),
inference(trivial_inequality_removal,[],[f49]) ).
fof(f51,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f50,f36,f41]) ).
fof(f56,plain,
( big_p(c)
| ~ spl0_7 ),
inference(superposition,[],[f3,f43]) ).
fof(f57,plain,
( $false
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f56,f47]) ).
fof(f58,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f57]) ).
fof(f61,plain,
( c != a
| ~ spl0_5 ),
inference(superposition,[],[f5,f33]) ).
fof(f62,plain,
( big_p(c)
| ~ spl0_5 ),
inference(superposition,[],[f4,f33]) ).
fof(f63,plain,
( $false
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f62,f47]) ).
fof(f64,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f63]) ).
fof(f72,plain,
( $false
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f61,f43]) ).
fof(f73,plain,
( ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f72]) ).
cnf(s2,plain,
( spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f29]) ).
cnf(s3,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f34]) ).
cnf(s4,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f39]) ).
cnf(s5,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f44]) ).
cnf(s6,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f51]) ).
cnf(s7,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(sat_conversion,[],[f58]) ).
cnf(s8,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f64]) ).
cnf(s10,plain,
( ~ spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f73]) ).
cnf(s11,plain,
spl0_4,
inference(rat,[],[s10,s3,s5]) ).
cnf(s12,plain,
spl0_3,
inference(rat,[],[s2,s11]) ).
cnf(s13,plain,
~ spl0_5,
inference(rat,[],[s8,s12]) ).
cnf(s14,plain,
~ spl0_7,
inference(rat,[],[s7,s12]) ).
cnf(s15,plain,
~ spl0_6,
inference(rat,[],[s4,s13]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s6,s14,s15]) ).
fof(f74,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN072-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n026.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:31:42 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 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
% 3.48/1.25 % (3944464)Input is clausal, will run a generic CNF schedule.
% 3.48/1.25 % (3944473)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2801867031:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.48/1.25 % (3944473)Refutation not found, incomplete strategy
% 3.48/1.25 % (3944473)------------------------------
% 3.48/1.25 % (3944473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.25 % (3944473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.25 % (3944473)CaDiCaL version: 2.1.3
% 3.48/1.25 % (3944473)Termination reason: Refutation not found, incomplete strategy
% 3.48/1.25 % (3944473)Time elapsed: 0.0000 s
% 3.48/1.25 % (3944473)Peak memory usage: 87 MB
% 3.48/1.25 % (3944470)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3725408301:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.48/1.25 % (3944474)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1533344055:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.48/1.25 % (3944475)dis-21_1_sil=8000:lcm=predicate:random_seed=786996909: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)
% 3.48/1.25 % (3944472)lrs+10_1_sil=8000:sp=occurrence:random_seed=447436529:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.48/1.25 % (3944469)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=9469950:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.48/1.25 % (3944471)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4270862340:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.48/1.25 % (3944475)Refutation not found, incomplete strategy
% 3.48/1.25 % (3944475)------------------------------
% 3.48/1.25 % (3944475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.25 % (3944475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.25 % (3944475)CaDiCaL version: 2.1.3
% 3.48/1.25 % (3944475)Termination reason: Refutation not found, incomplete strategy
% 3.48/1.25 % (3944475)Time elapsed: 0.001 s
% 3.48/1.25 % (3944475)Peak memory usage: 88 MB
% 3.48/1.25 % (3944472)First to succeed.
% 3.48/1.25 % (3944472)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3944464"
% 3.48/1.25 % (3944474)Also succeeded, but the first one will report.
% 3.48/1.25 % (3944473)------------------------------
% 3.48/1.25 % (3944473)------------------------------
% 3.48/1.25 % (3944483)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1568472406:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.48/1.25 % (3944483)Refutation not found, incomplete strategy
% 3.48/1.25 % (3944483)------------------------------
% 3.48/1.25 % (3944483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.25 % (3944483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.25 % (3944483)CaDiCaL version: 2.1.3
% 3.48/1.25 % (3944483)Termination reason: Refutation not found, incomplete strategy
% 3.48/1.25 % (3944483)Time elapsed: 0.0000 s
% 3.48/1.25 % (3944483)Peak memory usage: 87 MB
% 3.48/1.25 % (3944475)------------------------------
% 3.48/1.25 % (3944475)------------------------------
% 3.48/1.25 % (3944472)Refutation found. Thanks to Tanya!
% 3.48/1.25 % SZS status Unsatisfiable for theBenchmark
% 3.48/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.48/1.25 % (3944472)------------------------------
% 3.48/1.25 % (3944472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.25 % (3944472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.25 % (3944472)CaDiCaL version: 2.1.3
% 3.48/1.25 % (3944472)Termination reason: Refutation
% 3.48/1.25 % (3944472)Time elapsed: 0.003 s
% 3.48/1.25 % (3944472)Peak memory usage: 89 MB
% 3.48/1.25 % (3944472)Instructions burned: 2 (million)
% 3.48/1.25 % (3944472)------------------------------
% 3.48/1.25 % (3944472)------------------------------
% 3.48/1.25 % (3944464)Success in time 0.405 s
% 3.48/1.25 % Vampire exiting
%------------------------------------------------------------------------------