TSTP Solution File: SYN556-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN556-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 18:04:25 EDT 2024
% Result : Unsatisfiable 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of formulae : 42 ( 10 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 100 ( 48 ~; 46 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f626,plain,
$false,
inference(avatar_sat_refutation,[],[f526,f530,f538,f549,f596,f618,f625]) ).
fof(f625,plain,
( ~ spl0_9
| ~ spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f623,f593,f515,f519]) ).
fof(f519,plain,
( spl0_9
<=> p3(c11,c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f515,plain,
( spl0_8
<=> p2(c13,c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f593,plain,
( spl0_14
<=> p2(f8(c11,c13),f8(c11,c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f623,plain,
( ~ p2(c13,c10)
| ~ p3(c11,c11)
| spl0_14 ),
inference(resolution,[],[f595,f11]) ).
fof(f11,axiom,
! [X16,X14,X17,X15] :
( p2(f8(X14,X15),f8(X16,X17))
| ~ p2(X15,X17)
| ~ p3(X14,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
fof(f595,plain,
( ~ p2(f8(c11,c13),f8(c11,c10))
| spl0_14 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f618,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f615]) ).
fof(f615,plain,
( $false
| spl0_13 ),
inference(resolution,[],[f591,f1]) ).
fof(f1,axiom,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f591,plain,
( ~ p2(f6(f7(c12)),f6(f7(c12)))
| spl0_13 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f589,plain,
( spl0_13
<=> p2(f6(f7(c12)),f6(f7(c12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f596,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_10 ),
inference(avatar_split_clause,[],[f550,f523,f593,f589]) ).
fof(f523,plain,
( spl0_10
<=> p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f550,plain,
( ~ p2(f8(c11,c13),f8(c11,c10))
| ~ p2(f6(f7(c12)),f6(f7(c12)))
| spl0_10 ),
inference(resolution,[],[f525,f10]) ).
fof(f10,axiom,
! [X10,X11,X12,X13] :
( p2(f5(X10,X11),f5(X12,X13))
| ~ p2(X10,X12)
| ~ p2(X11,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
fof(f525,plain,
( ~ p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12))))
| spl0_10 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f549,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f546,plain,
( $false
| spl0_9 ),
inference(resolution,[],[f521,f2]) ).
fof(f2,axiom,
! [X1] : p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_2) ).
fof(f521,plain,
( ~ p3(c11,c11)
| spl0_9 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f538,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f535]) ).
fof(f535,plain,
( $false
| spl0_8 ),
inference(resolution,[],[f534,f1]) ).
fof(f534,plain,
( ~ p2(c10,c10)
| spl0_8 ),
inference(resolution,[],[f531,f3]) ).
fof(f3,axiom,
p2(c10,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_3) ).
fof(f531,plain,
( ! [X0] :
( ~ p2(X0,c13)
| ~ p2(X0,c10) )
| spl0_8 ),
inference(resolution,[],[f517,f6]) ).
fof(f6,axiom,
! [X0,X6,X7] :
( p2(X6,X7)
| ~ p2(X0,X6)
| ~ p2(X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
fof(f517,plain,
( ~ p2(c13,c10)
| spl0_8 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f530,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f527,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f513,f2]) ).
fof(f513,plain,
( ~ p3(c9,c9)
| spl0_7 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f511,plain,
( spl0_7
<=> p3(c9,c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f526,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f178,f523,f519,f515,f511]) ).
fof(f178,plain,
( ~ p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12))))
| ~ p3(c11,c11)
| ~ p2(c13,c10)
| ~ p3(c9,c9) ),
inference(resolution,[],[f35,f8]) ).
fof(f8,axiom,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
fof(f35,plain,
! [X2,X3,X0,X1] :
( ~ p2(X0,f5(f8(c11,c10),f6(f7(c12))))
| ~ p3(X3,f4(X1,X0,X2))
| ~ p3(X2,c11)
| ~ p2(X1,c10)
| ~ p3(X3,c9) ),
inference(resolution,[],[f16,f7]) ).
fof(f7,axiom,
! [X1,X8,X9] :
( p3(X8,X9)
| ~ p3(X1,X8)
| ~ p3(X1,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ p2(X1,f5(f8(c11,c10),f6(f7(c12))))
| ~ p3(f4(X0,X1,X2),c9)
| ~ p2(X0,c10)
| ~ p3(X2,c11) ),
inference(resolution,[],[f13,f12]) ).
fof(f12,axiom,
! [X21,X18,X19,X22,X23,X20] :
( p3(f4(X18,X19,X20),f4(X21,X22,X23))
| ~ p2(X19,X22)
| ~ p2(X18,X21)
| ~ p3(X20,X23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_12) ).
fof(f13,plain,
! [X0] :
( ~ p3(X0,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))
| ~ p3(X0,c9) ),
inference(resolution,[],[f9,f7]) ).
fof(f9,axiom,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN556-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 02:11:55 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (2215)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (2220)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.36 TRYING [3]
% 0.14/0.36 % (2217)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (2221)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (2219)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)
% 0.14/0.37 % (2222)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (2218)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (2223)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [4]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [4]
% 0.21/0.38 % (2219)First to succeed.
% 0.21/0.39 % (2219)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (2219)------------------------------
% 0.21/0.39 % (2219)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.39 % (2219)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (2219)Memory used [KB]: 964
% 0.21/0.39 % (2219)Time elapsed: 0.022 s
% 0.21/0.39 % (2219)Instructions burned: 40 (million)
% 0.21/0.39 % (2219)------------------------------
% 0.21/0.39 % (2219)------------------------------
% 0.21/0.39 % (2215)Success in time 0.038 s
%------------------------------------------------------------------------------