TSTP Solution File: MSC005-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MSC005-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 13:57:27 EDT 2024
% Result : Unsatisfiable 0.16s 0.32s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 60 ( 28 ~; 27 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75,plain,
$false,
inference(avatar_sat_refutation,[],[f47,f54,f56,f63,f65,f74]) ).
fof(f74,plain,
( ~ spl0_3
| ~ spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f58,f51,f60,f21]) ).
fof(f21,plain,
( spl0_3
<=> value(xor(xor(truth,falsity),falsity),truth) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f60,plain,
( spl0_9
<=> value(truth,truth) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f51,plain,
( spl0_8
<=> value(xor(xor(xor(truth,falsity),falsity),truth),falsity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f58,plain,
( ~ value(truth,truth)
| ~ value(xor(xor(truth,falsity),falsity),truth)
| spl0_8 ),
inference(resolution,[],[f53,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( value(xor(X0,X1),falsity)
| ~ value(X1,truth)
| ~ value(X0,truth) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_xor_true) ).
fof(f53,plain,
( ~ value(xor(xor(xor(truth,falsity),falsity),truth),falsity)
| spl0_8 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f65,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f64,plain,
( $false
| spl0_9 ),
inference(resolution,[],[f62,f1]) ).
fof(f1,axiom,
value(truth,truth),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_is_true) ).
fof(f62,plain,
( ~ value(truth,truth)
| spl0_9 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,plain,
( ~ spl0_9
| ~ spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f49,f40,f44,f60]) ).
fof(f44,plain,
( spl0_7
<=> value(falsity,falsity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f40,plain,
( spl0_6
<=> value(xor(truth,falsity),truth) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f49,plain,
( ~ value(falsity,falsity)
| ~ value(truth,truth)
| spl0_6 ),
inference(resolution,[],[f42,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( value(xor(X0,X1),truth)
| ~ value(X1,falsity)
| ~ value(X0,truth) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_xor_false) ).
fof(f42,plain,
( ~ value(xor(truth,falsity),truth)
| spl0_6 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f56,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f55]) ).
fof(f55,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f46,f2]) ).
fof(f2,axiom,
value(falsity,falsity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_is_false) ).
fof(f46,plain,
( ~ value(falsity,falsity)
| spl0_7 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f54,plain,
( ~ spl0_8
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f38,f44,f51]) ).
fof(f38,plain,
( ~ value(falsity,falsity)
| ~ value(xor(xor(xor(truth,falsity),falsity),truth),falsity) ),
inference(resolution,[],[f6,f7]) ).
fof(f7,axiom,
! [X2] : ~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',evaluate_expression) ).
fof(f6,axiom,
! [X0,X1] :
( value(xor(X0,X1),falsity)
| ~ value(X1,falsity)
| ~ value(X0,falsity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_xor_false) ).
fof(f47,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f32,f21,f44,f40]) ).
fof(f32,plain,
( ~ value(falsity,falsity)
| ~ value(xor(truth,falsity),truth)
| spl0_3 ),
inference(resolution,[],[f23,f4]) ).
fof(f23,plain,
( ~ value(xor(xor(truth,falsity),falsity),truth)
| spl0_3 ),
inference(avatar_component_clause,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : MSC005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.30 % Computer : n024.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon Apr 29 22:03:36 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.11/0.31 % (28742)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.32 % (28748)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.32 % (28743)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.32 % (28744)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.32 % (28747)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.32 % (28749)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.32 % (28745)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.16/0.32 % (28746)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.32 TRYING [1]
% 0.16/0.32 TRYING [1]
% 0.16/0.32 TRYING [1]
% 0.16/0.32 TRYING [2]
% 0.16/0.32 TRYING [2]
% 0.16/0.32 TRYING [2]
% 0.16/0.32 TRYING [1]
% 0.16/0.32 % (28745)First to succeed.
% 0.16/0.32 TRYING [2]
% 0.16/0.32 TRYING [3]
% 0.16/0.32 TRYING [3]
% 0.16/0.32 TRYING [3]
% 0.16/0.32 % (28748)Also succeeded, but the first one will report.
% 0.16/0.32 TRYING [3]
% 0.16/0.32 % (28745)Refutation found. Thanks to Tanya!
% 0.16/0.32 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.32 % (28745)------------------------------
% 0.16/0.32 % (28745)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.32 % (28745)Termination reason: Refutation
% 0.16/0.32
% 0.16/0.32 % (28745)Memory used [KB]: 767
% 0.16/0.32 % (28745)Time elapsed: 0.003 s
% 0.16/0.32 % (28745)Instructions burned: 3 (million)
% 0.16/0.32 % (28745)------------------------------
% 0.16/0.32 % (28745)------------------------------
% 0.16/0.32 % (28742)Success in time 0.017 s
%------------------------------------------------------------------------------