TSTP Solution File: SYN574-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN574-1 : 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 : n012.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 18:04:28 EDT 2024
% Result : Unsatisfiable 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 48 ( 10 unt; 0 def)
% Number of atoms : 119 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 140 ( 69 ~; 68 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f369,plain,
$false,
inference(avatar_sat_refutation,[],[f281,f335,f336,f366]) ).
fof(f366,plain,
( spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f365,f147,f137]) ).
fof(f137,plain,
( spl0_5
<=> ! [X0] :
( ~ p2(f5(c14),f5(X0))
| ~ p11(X0,c15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f147,plain,
( spl0_7
<=> p9(f8(f4(c14),f5(c14)),f4(c14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f365,plain,
( ! [X0] :
( ~ p2(f5(c14),f5(X0))
| ~ p11(X0,c15) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f364,f149]) ).
fof(f149,plain,
( p9(f8(f4(c14),f5(c14)),f4(c14))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f364,plain,
( ! [X0] :
( ~ p2(f5(c14),f5(X0))
| ~ p9(f8(f4(c14),f5(c14)),f4(c14))
| ~ p11(X0,c15) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f363,f102]) ).
fof(f102,plain,
p9(c12,f4(c14)),
inference(resolution,[],[f94,f3]) ).
fof(f3,axiom,
! [X2] : p3(X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
fof(f94,plain,
! [X0] :
( ~ p3(f4(c14),X0)
| p9(c12,X0) ),
inference(resolution,[],[f67,f5]) ).
fof(f5,axiom,
p9(c12,c13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_5) ).
fof(f67,plain,
! [X0,X1] :
( ~ p9(X1,c13)
| p9(X1,X0)
| ~ p3(f4(c14),X0) ),
inference(resolution,[],[f41,f10]) ).
fof(f10,axiom,
! [X6] :
( p9(X6,f4(c14))
| ~ p9(X6,c13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_10) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ p9(X2,X0)
| ~ p3(X0,X1)
| p9(X2,X1) ),
inference(resolution,[],[f19,f2]) ).
fof(f2,axiom,
! [X1] : p7(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).
fof(f19,axiom,
! [X28,X26,X27,X25] :
( ~ p7(X27,X25)
| ~ p3(X28,X26)
| ~ p9(X27,X28)
| p9(X25,X26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_19) ).
fof(f363,plain,
( ! [X0] :
( ~ p9(c12,f4(c14))
| ~ p2(f5(c14),f5(X0))
| ~ p9(f8(f4(c14),f5(c14)),f4(c14))
| ~ p11(X0,c15) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f360,f35]) ).
fof(f35,plain,
! [X0] : p3(f4(X0),f4(f5(X0))),
inference(resolution,[],[f27,f3]) ).
fof(f27,plain,
! [X0,X1] :
( ~ p3(f4(f5(X0)),X1)
| p3(f4(X0),X1) ),
inference(resolution,[],[f16,f7]) ).
fof(f7,axiom,
! [X4] : p3(f4(f5(X4)),f4(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
fof(f16,axiom,
! [X2,X18,X17] :
( ~ p3(X2,X17)
| ~ p3(X2,X18)
| p3(X17,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_16) ).
fof(f360,plain,
( ! [X0] :
( ~ p3(f4(c14),f4(f5(c14)))
| ~ p9(c12,f4(c14))
| ~ p2(f5(c14),f5(X0))
| ~ p9(f8(f4(c14),f5(c14)),f4(c14))
| ~ p11(X0,c15) )
| ~ spl0_7 ),
inference(resolution,[],[f338,f22]) ).
fof(f22,axiom,
! [X34,X35,X33] :
( ~ p9(f8(X33,X34),f4(X34))
| ~ p9(c12,X33)
| ~ p2(X34,f5(X35))
| ~ p9(f8(X33,X34),X33)
| ~ p11(X35,c15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_22) ).
fof(f338,plain,
( ! [X0] :
( p9(f8(f4(c14),f5(c14)),X0)
| ~ p3(f4(c14),X0) )
| ~ spl0_7 ),
inference(resolution,[],[f149,f41]) ).
fof(f336,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f225,f143,f147]) ).
fof(f143,plain,
( spl0_6
<=> p9(f8(f4(c14),f5(c14)),f4(f5(c14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f225,plain,
( p9(f8(f4(c14),f5(c14)),f4(f5(c14)))
| p9(f8(f4(c14),f5(c14)),f4(c14)) ),
inference(resolution,[],[f141,f4]) ).
fof(f4,axiom,
! [X3] : p2(X3,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f141,plain,
! [X0] :
( ~ p2(X0,c14)
| p9(f8(f4(c14),f5(X0)),f4(f5(X0)))
| p9(f8(f4(c14),f5(X0)),f4(c14)) ),
inference(resolution,[],[f93,f11]) ).
fof(f11,axiom,
! [X8,X7] :
( p2(f5(X7),f5(X8))
| ~ p2(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
fof(f93,plain,
! [X0] :
( ~ p2(X0,f5(c14))
| p9(f8(f4(c14),X0),f4(c14))
| p9(f8(f4(c14),X0),f4(X0)) ),
inference(subsumption_resolution,[],[f92,f5]) ).
fof(f92,plain,
! [X0] :
( ~ p2(X0,f5(c14))
| p9(f8(f4(c14),X0),f4(c14))
| p9(f8(f4(c14),X0),f4(X0))
| ~ p9(c12,c13) ),
inference(resolution,[],[f49,f10]) ).
fof(f49,plain,
! [X0,X1] :
( ~ p9(c12,X0)
| ~ p2(X1,f5(c14))
| p9(f8(X0,X1),X0)
| p9(f8(X0,X1),f4(X1)) ),
inference(resolution,[],[f21,f6]) ).
fof(f6,axiom,
p11(c14,c15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_6) ).
fof(f21,axiom,
! [X34,X35,X33] :
( ~ p11(X35,c15)
| ~ p9(c12,X33)
| ~ p2(X34,f5(X35))
| p9(f8(X33,X34),X33)
| p9(f8(X33,X34),f4(X34)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_21) ).
fof(f335,plain,
( ~ spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f334]) ).
fof(f334,plain,
( $false
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f333,f170]) ).
fof(f170,plain,
( ~ p9(f8(f4(c14),f5(c14)),c13)
| spl0_7 ),
inference(resolution,[],[f148,f10]) ).
fof(f148,plain,
( ~ p9(f8(f4(c14),f5(c14)),f4(c14))
| spl0_7 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f333,plain,
( p9(f8(f4(c14),f5(c14)),c13)
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f330,f7]) ).
fof(f330,plain,
( ~ p3(f4(f5(c14)),f4(c14))
| p9(f8(f4(c14),f5(c14)),c13)
| ~ spl0_6 ),
inference(resolution,[],[f166,f9]) ).
fof(f9,axiom,
! [X6] :
( ~ p9(X6,f4(c14))
| p9(X6,c13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_9) ).
fof(f166,plain,
( ! [X0] :
( p9(f8(f4(c14),f5(c14)),X0)
| ~ p3(f4(f5(c14)),X0) )
| ~ spl0_6 ),
inference(resolution,[],[f145,f41]) ).
fof(f145,plain,
( p9(f8(f4(c14),f5(c14)),f4(f5(c14)))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f281,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f280,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f279,f4]) ).
fof(f279,plain,
( ~ p2(f5(c14),f5(c14))
| ~ spl0_5 ),
inference(resolution,[],[f138,f6]) ).
fof(f138,plain,
( ! [X0] :
( ~ p11(X0,c15)
| ~ p2(f5(c14),f5(X0)) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SYN574-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n012.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Apr 30 01:40:57 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (4109)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (4113)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39 % (4111)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (4115)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39 % (4116)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)
% 0.14/0.39 % (4114)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39 % (4110)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 % (4112)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)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.39 Detected maximum model sizes of [max,max,max,1]
% 0.14/0.39 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.39 Detected maximum model sizes of [max,max,max,1]
% 0.14/0.39 TRYING [1,1,1,1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [1,1,1,1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [1,2,1,1]
% 0.14/0.39 TRYING [1,2,1,1]
% 0.14/0.39 TRYING [2,2,1,1]
% 0.14/0.39 TRYING [2,2,1,1]
% 0.14/0.40 TRYING [1,3,1,1]
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [1,3,1,1]
% 0.14/0.40 TRYING [1,2,2,1]
% 0.14/0.40 TRYING [1,2,2,1]
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [2,3,1,1]
% 0.14/0.40 TRYING [2,3,1,1]
% 0.14/0.40 TRYING [2,2,2,1]
% 0.14/0.40 TRYING [2,2,2,1]
% 0.21/0.40 TRYING [4]
% 0.21/0.40 TRYING [4]
% 0.21/0.40 TRYING [1,3,2,1]
% 0.21/0.40 TRYING [1,3,2,1]
% 0.21/0.40 TRYING [2,3,2,1]
% 0.21/0.40 TRYING [2,3,2,1]
% 0.21/0.40 % (4115)First to succeed.
% 0.21/0.40 TRYING [1,4,2,1]
% 0.21/0.41 TRYING [1,4,2,1]
% 0.21/0.41 % (4115)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41 % (4115)------------------------------
% 0.21/0.41 % (4115)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.41 % (4115)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (4115)Memory used [KB]: 887
% 0.21/0.41 % (4115)Time elapsed: 0.014 s
% 0.21/0.41 % (4115)Instructions burned: 20 (million)
% 0.21/0.41 % (4115)------------------------------
% 0.21/0.41 % (4115)------------------------------
% 0.21/0.41 % (4109)Success in time 0.031 s
%------------------------------------------------------------------------------