%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN071-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 02:06:40 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 8 unt; 4 def)
% Number of atoms : 75 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 78 ( 41 ~; 33 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( a = b
| c = d ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,axiom,
( a = c
| b = d ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
a != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
b != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f6,definition,
( spl0_1
<=> b = d ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f8,plain,
( b = d
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f6]) ).
fof(f10,definition,
( spl0_2
<=> a = c ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f12,plain,
( a = c
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f13,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f2,f10,f6]) ).
fof(f15,definition,
( spl0_3
<=> c = d ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f17,plain,
( c = d
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f19,definition,
( spl0_4
<=> a = b ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f21,plain,
( a = b
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f22,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f1,f19,f15]) ).
fof(f23,plain,
( a = d
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f17,f12]) ).
fof(f24,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f23,f3]) ).
fof(f25,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f24]) ).
fof(f26,plain,
( b = c
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f17,f8]) ).
fof(f27,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f26,f4]) ).
fof(f28,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f27]) ).
fof(f30,plain,
( a != b
| ~ spl0_2 ),
inference(superposition,[],[f4,f12]) ).
fof(f31,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f30,f21]) ).
fof(f32,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f31]) ).
fof(f33,plain,
( a = d
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f8,f21]) ).
fof(f34,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f33,f3]) ).
fof(f35,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f34]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f13]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f22]) ).
cnf(s3,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f25]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f28]) ).
cnf(s5,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f32]) ).
cnf(s6,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f35]) ).
cnf(s7,plain,
~ spl0_2,
inference(rat,[],[s2,s3,s5]) ).
cnf(s8,plain,
spl0_1,
inference(rat,[],[s1,s7]) ).
cnf(s9,plain,
~ spl0_4,
inference(rat,[],[s6,s8]) ).
cnf(s10,plain,
~ spl0_3,
inference(rat,[],[s4,s8]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s2,s9,s10]) ).
fof(f36,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN071-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n003.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:31:34 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.29 % (1701210)Will run a generic schedule for satisfiability detection.
% 0.21/0.29 % (1701220)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1560038619:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.29 % (1701220) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1701210-1701220"...
% 0.21/0.29 % (1701220)...printing done.
% 0.21/0.29 % (1701220)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29 % (1701220)------------------------------
% 0.21/0.29 % (1701220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (1701220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (1701220)CaDiCaL version: 2.1.3
% 0.21/0.29 % (1701220)Termination reason: Refutation
% 0.21/0.29 % (1701220)Time elapsed: 0.001 s
% 0.21/0.29 % (1701220)Peak memory usage: 12 MB
% 0.21/0.29 % (1701220)Instructions burned: 1 (million)
% 0.21/0.29 % (1701210)Success in time 0.037 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------