%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN071+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 02:06:40 PM UTC 2026
% Result : Theorem 0.09s 0.24s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 8 unt; 2 def)
% Number of atoms : 51 ( 27 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 21 ~; 19 |; 1 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 3 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',pel48_1) ).
fof(f2,axiom,
( a = c
| b = d ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel48_2) ).
fof(f3,conjecture,
( a = d
| b = c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel48) ).
fof(f4,negated_conjecture,
~ ( a = d
| b = c ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
( a != d
& b != c ),
inference(ennf_transformation,[],[f4]) ).
fof(f6,plain,
( a = b
| c = d ),
inference(cnf_transformation,[],[f1]) ).
fof(f7,plain,
( a = c
| b = d ),
inference(cnf_transformation,[],[f2]) ).
fof(f8,plain,
b != c,
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
a != d,
inference(cnf_transformation,[],[f5]) ).
fof(f11,definition,
( spl0_1
<=> c = d ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f13,plain,
( c = d
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f15,definition,
( spl0_2
<=> a = b ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f17,plain,
( a = b
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f18,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f6,f15,f11]) ).
fof(f19,plain,
( a != c
| ~ spl0_1 ),
inference(superposition,[],[f9,f13]) ).
fof(f20,plain,
( b = d
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f7,f19]) ).
fof(f21,plain,
( b = c
| ~ spl0_1 ),
inference(superposition,[],[f20,f13]) ).
fof(f26,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f21,f8]) ).
fof(f27,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f26]) ).
fof(f28,plain,
( a = d
| a = c
| ~ spl0_2 ),
inference(forward_demodulation,[],[f7,f17]) ).
fof(f29,plain,
( a = c
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f28,f9]) ).
fof(f30,plain,
( a != b
| ~ spl0_2 ),
inference(superposition,[],[f8,f29]) ).
fof(f31,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f30,f17]) ).
fof(f32,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f31]) ).
cnf(s8,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f18]) ).
cnf(s17,plain,
~ spl0_1,
inference(sat_conversion,[],[f27]) ).
cnf(s25,plain,
~ spl0_2,
inference(sat_conversion,[],[f32]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s8,s25,s17]) ).
fof(f33,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN071+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n011.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:30:01 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.24 % (3469528)Will run a generic schedule for satisfiability detection.
% 0.09/0.24 % (3469540)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2078013322:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.09/0.24 % (3469540) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3469528-3469540"...
% 0.09/0.24 % (3469540)...printing done.
% 0.09/0.24 % (3469540)Refutation found. Thanks to Tanya!
% 0.09/0.24 % SZS status Theorem for theBenchmark
% 0.09/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.24 % (3469540)------------------------------
% 0.09/0.24 % (3469540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (3469540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (3469540)CaDiCaL version: 2.1.3
% 0.09/0.24 % (3469540)Termination reason: Refutation
% 0.09/0.24 % (3469540)Time elapsed: 0.001 s
% 0.09/0.24 % (3469540)Peak memory usage: 12 MB
% 0.09/0.24 % (3469540)Instructions burned: 1 (million)
% 0.09/0.24 % (3469528)Success in time 0.014 s
% 0.09/0.24 % Vampire exiting
%------------------------------------------------------------------------------