TSTP Solution File: SYN623-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN623-1 : 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 : n028.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 18:04:36 EDT 2024
% Result : Unsatisfiable 0.19s 0.36s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 24
% Syntax : Number of formulae : 62 ( 12 unt; 0 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 185 ( 86 ~; 88 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 9 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f252,plain,
$false,
inference(avatar_sat_refutation,[],[f92,f105,f113,f118,f154,f157,f198,f217,f251]) ).
fof(f251,plain,
spl4_4,
inference(avatar_contradiction_clause,[],[f248]) ).
fof(f248,plain,
( $false
| spl4_4 ),
inference(resolution,[],[f239,f5]) ).
fof(f5,axiom,
! [X4] : p3(X4,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
fof(f239,plain,
( ~ p3(c22,c22)
| spl4_4 ),
inference(resolution,[],[f220,f11]) ).
fof(f11,axiom,
p3(c22,c23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_11) ).
fof(f220,plain,
( ! [X0] :
( ~ p3(X0,c23)
| ~ p3(X0,c22) )
| spl4_4 ),
inference(resolution,[],[f91,f20]) ).
fof(f20,axiom,
! [X18,X4,X17] :
( p3(X17,X18)
| ~ p3(X4,X17)
| ~ p3(X4,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_20) ).
fof(f91,plain,
( ~ p3(c23,c22)
| spl4_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl4_4
<=> p3(c23,c22) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f217,plain,
( spl4_5
| spl4_7
| ~ spl4_14 ),
inference(avatar_split_clause,[],[f202,f196,f110,f98]) ).
fof(f98,plain,
( spl4_5
<=> sP3(c24) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f110,plain,
( spl4_7
<=> sP2(c24) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f196,plain,
( spl4_14
<=> ! [X0] :
( ~ p2(X0,c25)
| sP2(X0)
| sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f202,plain,
( sP2(c24)
| sP3(c24)
| ~ spl4_14 ),
inference(resolution,[],[f197,f12]) ).
fof(f12,axiom,
p2(c24,c25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
fof(f197,plain,
( ! [X0] :
( ~ p2(X0,c25)
| sP2(X0)
| sP3(X0) )
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f198,plain,
( ~ spl4_11
| spl4_14
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f160,f152,f196,f148]) ).
fof(f148,plain,
( spl4_11
<=> p18(c26,c25) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f152,plain,
( spl4_12
<=> ! [X0] :
( ~ p2(X0,c25)
| p16(f4(c25,f13(f15(c28,X0),c25)),f9(f11(c29,X0),c25))
| sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f160,plain,
( ! [X0] :
( ~ p2(X0,c25)
| sP3(X0)
| ~ p18(c26,c25)
| sP2(X0) )
| ~ spl4_12 ),
inference(duplicate_literal_removal,[],[f158]) ).
fof(f158,plain,
( ! [X0] :
( ~ p2(X0,c25)
| sP3(X0)
| ~ p2(X0,c25)
| ~ p18(c26,c25)
| sP2(X0) )
| ~ spl4_12 ),
inference(resolution,[],[f153,f40]) ).
fof(f40,plain,
! [X61,X64] :
( ~ p16(f4(X64,f13(f15(c28,X61),X64)),f9(f11(c29,X61),X64))
| ~ p2(X61,X64)
| ~ p18(c26,X64)
| sP2(X61) ),
inference(cnf_transformation,[],[f40_D]) ).
fof(f40_D,plain,
! [X61] :
( ! [X64] :
( ~ p16(f4(X64,f13(f15(c28,X61),X64)),f9(f11(c29,X61),X64))
| ~ p2(X61,X64)
| ~ p18(c26,X64) )
<=> ~ sP2(X61) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f153,plain,
( ! [X0] :
( p16(f4(c25,f13(f15(c28,X0),c25)),f9(f11(c29,X0),c25))
| ~ p2(X0,c25)
| sP3(X0) )
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f157,plain,
spl4_11,
inference(avatar_contradiction_clause,[],[f155]) ).
fof(f155,plain,
( $false
| spl4_11 ),
inference(resolution,[],[f150,f10]) ).
fof(f10,axiom,
p18(c26,c25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_10) ).
fof(f150,plain,
( ~ p18(c26,c25)
| spl4_11 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f154,plain,
( ~ spl4_11
| spl4_12 ),
inference(avatar_split_clause,[],[f119,f152,f148]) ).
fof(f119,plain,
! [X0] :
( ~ p2(X0,c25)
| ~ p18(c26,c25)
| sP3(X0)
| p16(f4(c25,f13(f15(c28,X0),c25)),f9(f11(c29,X0),c25)) ),
inference(resolution,[],[f42,f25]) ).
fof(f25,axiom,
! [X28,X27] :
( ~ p16(f4(f6(c27,c25),X27),X28)
| p16(f4(c25,X27),X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_25) ).
fof(f42,plain,
! [X61,X64] :
( p16(f4(f6(c27,X64),f13(f15(c28,X61),X64)),f9(f11(c29,X61),X64))
| ~ p2(X61,X64)
| ~ p18(c26,X64)
| sP3(X61) ),
inference(cnf_transformation,[],[f42_D]) ).
fof(f42_D,plain,
! [X61] :
( ! [X64] :
( p16(f4(f6(c27,X64),f13(f15(c28,X61),X64)),f9(f11(c29,X61),X64))
| ~ p2(X61,X64)
| ~ p18(c26,X64) )
<=> ~ sP3(X61) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f118,plain,
spl4_6,
inference(avatar_contradiction_clause,[],[f114]) ).
fof(f114,plain,
( $false
| spl4_6 ),
inference(resolution,[],[f104,f15]) ).
fof(f15,axiom,
p16(f4(c19,c20),c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_15) ).
fof(f104,plain,
( ~ p16(f4(c19,c20),c21)
| spl4_6 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl4_6
<=> p16(f4(c19,c20),c21) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f113,plain,
( ~ spl4_7
| ~ spl4_6
| spl4_3 ),
inference(avatar_split_clause,[],[f95,f85,f102,f110]) ).
fof(f85,plain,
( spl4_3
<=> p16(f4(c24,c20),c21) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f95,plain,
( ~ p16(f4(c19,c20),c21)
| ~ sP2(c24)
| spl4_3 ),
inference(resolution,[],[f87,f41]) ).
fof(f41,plain,
! [X62,X63,X61] :
( p16(f4(X61,X62),X63)
| ~ p16(f4(c19,X62),X63)
| ~ sP2(X61) ),
inference(general_splitting,[],[f34,f40_D]) ).
fof(f34,axiom,
! [X62,X63,X61,X64] :
( ~ p18(c26,X64)
| ~ p2(X61,X64)
| ~ p16(f4(c19,X62),X63)
| p16(f4(X61,X62),X63)
| ~ p16(f4(X64,f13(f15(c28,X61),X64)),f9(f11(c29,X61),X64)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_34) ).
fof(f87,plain,
( ~ p16(f4(c24,c20),c21)
| spl4_3 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f105,plain,
( ~ spl4_5
| ~ spl4_6
| spl4_3 ),
inference(avatar_split_clause,[],[f94,f85,f102,f98]) ).
fof(f94,plain,
( ~ p16(f4(c19,c20),c21)
| ~ sP3(c24)
| spl4_3 ),
inference(resolution,[],[f87,f43]) ).
fof(f43,plain,
! [X62,X63,X61] :
( p16(f4(X61,X62),X63)
| ~ p16(f4(c19,X62),X63)
| ~ sP3(X61) ),
inference(general_splitting,[],[f35,f42_D]) ).
fof(f35,axiom,
! [X62,X63,X61,X64] :
( ~ p18(c26,X64)
| ~ p2(X61,X64)
| ~ p16(f4(c19,X62),X63)
| p16(f4(X61,X62),X63)
| p16(f4(f6(c27,X64),f13(f15(c28,X61),X64)),f9(f11(c29,X61),X64)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_35) ).
fof(f92,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f76,f89,f85]) ).
fof(f76,plain,
( ~ p3(c23,c22)
| ~ p16(f4(c24,c20),c21) ),
inference(resolution,[],[f54,f14]) ).
fof(f14,axiom,
p3(c23,f4(c24,c20)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_14) ).
fof(f54,plain,
! [X0,X1] :
( ~ p3(X1,c22)
| ~ p3(X1,X0)
| ~ p16(X0,c21) ),
inference(resolution,[],[f46,f20]) ).
fof(f46,plain,
! [X0] :
( ~ p3(X0,c22)
| ~ p16(X0,c21) ),
inference(resolution,[],[f45,f2]) ).
fof(f2,axiom,
! [X1] : p8(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_2) ).
fof(f45,plain,
! [X0,X1] :
( ~ p8(X0,c21)
| ~ p16(X1,X0)
| ~ p3(X1,c22) ),
inference(resolution,[],[f44,f38]) ).
fof(f38,plain,
! [X31,X29,X32] :
( sP1(X29,X32)
| ~ p16(X31,X32)
| ~ p3(X31,X29) ),
inference(cnf_transformation,[],[f38_D]) ).
fof(f38_D,plain,
! [X32,X29] :
( ! [X31] :
( ~ p16(X31,X32)
| ~ p3(X31,X29) )
<=> ~ sP1(X29,X32) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f44,plain,
! [X0] :
( ~ sP1(c22,X0)
| ~ p8(X0,c21) ),
inference(resolution,[],[f39,f13]) ).
fof(f13,axiom,
~ p16(c22,c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p16_13) ).
fof(f39,plain,
! [X29,X32,X30] :
( p16(X29,X30)
| ~ p8(X32,X30)
| ~ sP1(X29,X32) ),
inference(general_splitting,[],[f26,f38_D]) ).
fof(f26,axiom,
! [X31,X29,X32,X30] :
( ~ p8(X32,X30)
| ~ p3(X31,X29)
| ~ p16(X31,X32)
| p16(X29,X30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_26) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN623-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 30 02:07:14 EDT 2024
% 0.19/0.33 % CPUTime :
% 0.19/0.33 % (16722)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.34 % (16728)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.19/0.35 % (16727)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.19/0.35 % (16724)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.35 % (16725)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)
% 0.19/0.35 % (16726)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.19/0.35 % (16723)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.19/0.35 % (16729)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)
% 0.19/0.35 TRYING [1]
% 0.19/0.35 TRYING [1]
% 0.19/0.35 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1]
% 0.19/0.35 Detected maximum model sizes of [1,max,max,max,1,max,max,1,1]
% 0.19/0.35 TRYING [1,1,1,1,1,1,1,1,1]
% 0.19/0.35 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1]
% 0.19/0.35 Detected maximum model sizes of [1,max,max,max,1,max,max,1,1]
% 0.19/0.35 TRYING [2]
% 0.19/0.35 TRYING [1,1,1,1,1,1,1,1,1]
% 0.19/0.35 TRYING [2]
% 0.19/0.36 TRYING [1,1,2,1,1,1,1,1,1]
% 0.19/0.36 TRYING [1,1,2,1,1,1,1,1,1]
% 0.19/0.36 TRYING [1,2,2,1,1,1,1,1,1]
% 0.19/0.36 TRYING [1,2,2,1,1,1,1,1,1]
% 0.19/0.36 % (16725)First to succeed.
% 0.19/0.36 TRYING [3]
% 0.19/0.36 TRYING [3]
% 0.19/0.36 % (16725)Refutation found. Thanks to Tanya!
% 0.19/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.36 % (16725)------------------------------
% 0.19/0.36 % (16725)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.36 % (16725)Termination reason: Refutation
% 0.19/0.36
% 0.19/0.36 % (16725)Memory used [KB]: 894
% 0.19/0.36 % (16725)Time elapsed: 0.009 s
% 0.19/0.36 % (16725)Instructions burned: 10 (million)
% 0.19/0.36 % (16725)------------------------------
% 0.19/0.36 % (16725)------------------------------
% 0.19/0.36 % (16722)Success in time 0.025 s
%------------------------------------------------------------------------------