%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN047-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 01:49:06 PM UTC 2026
% Result : Unsatisfiable 0.20s 1.20s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 10 unt; 2 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 7 ( 6 usr; 7 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,
p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
( ~ p
| q
| s ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
( ~ p
| ~ r
| s ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
~ s,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
( ~ q
| r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f7,definition,
( spl0_1
<=> r ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f11,definition,
( spl0_2
<=> q ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f14,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f5,f11,f7]) ).
fof(f15,plain,
( ~ p
| ~ r ),
inference(forward_subsumption_resolution,[],[f3,f4]) ).
fof(f16,plain,
( ~ p
| q ),
inference(forward_subsumption_resolution,[],[f2,f4]) ).
fof(f17,plain,
~ r,
inference(forward_subsumption_resolution,[],[f15,f1]) ).
fof(f18,plain,
q,
inference(forward_subsumption_resolution,[],[f16,f1]) ).
fof(f19,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f17,f7]) ).
fof(f20,plain,
spl0_2,
inference(avatar_split_clause,[],[f18,f11]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f14]) ).
cnf(s2,plain,
~ spl0_1,
inference(sat_conversion,[],[f19]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f20]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f21,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN047-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n002.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:24:52 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 0.20/1.20 % (445226)Input is clausal, will run a generic CNF schedule.
% 0.20/1.20 % (445231)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=3945753130:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.20 % (445232)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1182947326:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.20 % (445234)lrs+10_1_sil=8000:sp=occurrence:random_seed=332852286:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.20 % (445236)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3207744386:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.20 % (445233)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3047144826:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.20 % (445237)dis-21_1_sil=8000:lcm=predicate:random_seed=3836944395: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)
% 0.20/1.20 % (445235)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3422008383:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.20 % (445236)Also succeeded, but the first one will report.
% 0.20/1.20 % (445235)Also succeeded, but the first one will report.
% 0.20/1.20 % (445237)Also succeeded, but the first one will report.
% 0.20/1.20 % (445234)First to succeed.
% 0.20/1.20 % (445234)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-445226"
% 0.20/1.20 [W928 15:24:52.935381014 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.20/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.20/1.20 [W928 15:24:52.935407483 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.20/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.20/1.20 [W928 15:24:52.935428015 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.20/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.20/1.20 [W928 15:24:52.935434390 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.20/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.20/1.20 [W928 15:24:52.935448157 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.20/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.20/1.20 [W928 15:24:52.935454000 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.20/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.20/1.20 [W928 15:24:52.935467204 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.20/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.20/1.20 [W928 15:24:52.935473114 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 0.20/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 0.20/1.20 % (445234)Refutation found. Thanks to Tanya!
% 0.20/1.20 % SZS status Unsatisfiable for theBenchmark
% 0.20/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.20 % (445234)------------------------------
% 0.20/1.20 % (445234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.20 % (445234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.20 % (445234)CaDiCaL version: 2.1.3
% 0.20/1.20 % (445234)Termination reason: Refutation
% 0.20/1.20 % (445234)Time elapsed: 0.002 s
% 0.20/1.20 % (445234)Peak memory usage: 88 MB
% 0.20/1.20 % (445234)------------------------------
% 0.20/1.20 % (445234)------------------------------
% 0.20/1.20 % (445226)Success in time 0.435 s
% 0.20/1.20 % Vampire exiting
%------------------------------------------------------------------------------