%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MSC005-1 : 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 : n001.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 12:05:43 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 11 unt; 2 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 27 ~; 24 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
value(truth,truth),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_is_true) ).
fof(f2,axiom,
value(falsity,falsity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_is_false) ).
fof(f3,axiom,
! [X0,X1] :
( value(xor(X0,X1),falsity)
| ~ value(X1,truth)
| ~ value(X0,truth) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_xor_true) ).
fof(f4,axiom,
! [X0,X1] :
( value(xor(X0,X1),truth)
| ~ value(X1,falsity)
| ~ value(X0,truth) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_xor_false) ).
fof(f6,axiom,
! [X0,X1] :
( value(xor(X0,X1),falsity)
| ~ value(X1,falsity)
| ~ value(X0,falsity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_xor_false) ).
fof(f7,negated_conjecture,
! [X0] : ~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',evaluate_expression) ).
fof(f21,definition,
( spl0_3
<=> value(xor(xor(truth,falsity),falsity),truth) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f22,plain,
( value(xor(xor(truth,falsity),falsity),truth)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f23,plain,
( ~ value(xor(xor(truth,falsity),falsity),truth)
| spl0_3 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f29,plain,
( ~ value(falsity,falsity)
| ~ value(xor(truth,falsity),truth)
| spl0_3 ),
inference(resolution,[],[f23,f4]) ).
fof(f30,plain,
( ~ value(xor(truth,falsity),truth)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f29,f2]) ).
fof(f40,definition,
( spl0_6
<=> value(xor(xor(xor(truth,falsity),falsity),truth),falsity) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f42,plain,
( ~ value(xor(xor(xor(truth,falsity),falsity),truth),falsity)
| spl0_6 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f45,plain,
( ~ value(falsity,falsity)
| ~ value(xor(xor(xor(truth,falsity),falsity),truth),falsity) ),
inference(resolution,[],[f6,f7]) ).
fof(f46,plain,
~ value(xor(xor(xor(truth,falsity),falsity),truth),falsity),
inference(forward_subsumption_resolution,[],[f45,f2]) ).
fof(f47,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f46,f40]) ).
fof(f49,plain,
( ~ value(falsity,falsity)
| ~ value(truth,truth)
| spl0_3 ),
inference(resolution,[],[f30,f4]) ).
fof(f50,plain,
( ~ value(truth,truth)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f49,f2]) ).
fof(f51,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f50,f1]) ).
fof(f52,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f51]) ).
fof(f54,plain,
( ~ value(truth,truth)
| ~ value(xor(xor(truth,falsity),falsity),truth)
| spl0_6 ),
inference(resolution,[],[f42,f3]) ).
fof(f55,plain,
( ~ value(xor(xor(truth,falsity),falsity),truth)
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f54,f1]) ).
fof(f56,plain,
( $false
| ~ spl0_3
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f55,f22]) ).
fof(f57,plain,
( ~ spl0_3
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f56]) ).
cnf(s5,plain,
~ spl0_6,
inference(sat_conversion,[],[f47]) ).
cnf(s6,plain,
spl0_3,
inference(sat_conversion,[],[f52]) ).
cnf(s7,plain,
( ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f57]) ).
cnf(s8,plain,
spl0_6,
inference(rat,[],[s7,s6]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s5,s8]) ).
fof(f58,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:46:16 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (3830819)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3830828)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1543518196:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (3830828) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3830819-3830828"...
% 0.11/0.45 % (3830828)...printing done.
% 0.11/0.45 % (3830828)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (3830828)------------------------------
% 0.11/0.45 % (3830828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (3830828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (3830828)CaDiCaL version: 2.1.3
% 0.11/0.45 % (3830828)Termination reason: Refutation
% 0.11/0.45 % (3830828)Time elapsed: 0.001 s
% 0.11/0.45 % (3830828)Peak memory usage: 12 MB
% 0.11/0.45 % (3830828)Instructions burned: 1 (million)
% 0.11/0.45 % (3830819)Success in time 0.028 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------