TSTP Solution File: NUN070+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN070+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 14:40:20 EDT 2024
% Result : Theorem 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 46 ( 10 unt; 0 def)
% Number of atoms : 155 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 191 ( 82 ~; 54 |; 48 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 104 ( 73 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f481,plain,
$false,
inference(resolution,[],[f471,f190]) ).
fof(f190,plain,
r1(sK19),
inference(resolution,[],[f126,f69]) ).
fof(f69,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] : id(X0,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f126,plain,
! [X1] :
( ~ id(X1,sK19)
| r1(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X1] :
( ( ~ id(X1,sK19)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK19) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f1,f66]) ).
fof(f66,plain,
( ? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) )
=> ! [X1] :
( ( ~ id(X1,sK19)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK19) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f471,plain,
! [X0] : ~ r1(X0),
inference(duplicate_literal_removal,[],[f470]) ).
fof(f470,plain,
! [X0] :
( ~ r1(X0)
| ~ r1(X0) ),
inference(resolution,[],[f450,f231]) ).
fof(f231,plain,
! [X0] :
( sP20(sK8(X0))
| ~ r1(X0) ),
inference(resolution,[],[f227,f127]) ).
fof(f127,plain,
! [X2,X1] :
( ~ r2(X2,X1)
| ~ r1(X2)
| sP20(X1) ),
inference(cnf_transformation,[],[f127_D]) ).
fof(f127_D,plain,
! [X1] :
( ! [X2] :
( ~ r2(X2,X1)
| ~ r1(X2) )
<=> ~ sP20(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).
fof(f227,plain,
! [X0] : r2(X0,sK8(X0)),
inference(resolution,[],[f84,f69]) ).
fof(f84,plain,
! [X2,X0] :
( ~ id(X2,sK8(X0))
| r2(X0,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X2] :
( ( ~ id(X2,sK8(X0))
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,sK8(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f26,f50]) ).
fof(f50,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( ~ id(X2,X1)
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,X1) ) )
=> ! [X2] :
( ( ~ id(X2,sK8(X0))
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,sK8(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0] :
? [X1] :
! [X2] :
( ( ~ id(X2,X1)
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( ~ id(X4,X3)
& ~ r2(X2,X4) )
| ( r2(X2,X4)
& id(X4,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f450,plain,
! [X0] :
( ~ sP20(sK8(X0))
| ~ r1(X0) ),
inference(resolution,[],[f448,f230]) ).
fof(f230,plain,
! [X0] :
( sP22(sK8(X0))
| ~ r1(X0) ),
inference(resolution,[],[f227,f131]) ).
fof(f131,plain,
! [X3,X4] :
( ~ r2(X4,X3)
| ~ r1(X4)
| sP22(X3) ),
inference(cnf_transformation,[],[f131_D]) ).
fof(f131_D,plain,
! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ~ r1(X4) )
<=> ~ sP22(X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).
fof(f448,plain,
! [X0] :
( ~ sP22(X0)
| ~ sP20(X0) ),
inference(resolution,[],[f445,f75]) ).
fof(f75,plain,
! [X0] : r1(sK4(X0)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( r3(X0,sK4(X0),sK3(X0))
& r1(sK4(X0))
& id(sK3(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f24,f44,f43]) ).
fof(f43,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) )
=> ( ? [X2] :
( r3(X0,X2,sK3(X0))
& r1(X2) )
& id(sK3(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK3(X0))
& r1(X2) )
=> ( r3(X0,sK4(X0),sK3(X0))
& r1(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X53] :
? [X54] :
( ? [X55] :
( r3(X53,X55,X54)
& r1(X55) )
& id(X54,X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).
fof(f445,plain,
! [X0] :
( ~ r1(sK4(X0))
| ~ sP22(X0)
| ~ sP20(X0) ),
inference(resolution,[],[f299,f197]) ).
fof(f197,plain,
! [X0] :
( sP21(sK3(X0))
| ~ sP20(X0) ),
inference(resolution,[],[f129,f74]) ).
fof(f74,plain,
! [X0] : id(sK3(X0),X0),
inference(cnf_transformation,[],[f45]) ).
fof(f129,plain,
! [X0,X1] :
( ~ id(X0,X1)
| ~ sP20(X1)
| sP21(X0) ),
inference(cnf_transformation,[],[f129_D]) ).
fof(f129_D,plain,
! [X0] :
( ! [X1] :
( ~ id(X0,X1)
| ~ sP20(X1) )
<=> ~ sP21(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).
fof(f299,plain,
! [X0] :
( ~ sP21(sK3(X0))
| ~ r1(sK4(X0))
| ~ sP22(X0) ),
inference(resolution,[],[f132,f76]) ).
fof(f76,plain,
! [X0] : r3(X0,sK4(X0),sK3(X0)),
inference(cnf_transformation,[],[f45]) ).
fof(f132,plain,
! [X3,X0,X5] :
( ~ r3(X3,X5,X0)
| ~ r1(X5)
| ~ sP21(X0)
| ~ sP22(X3) ),
inference(general_splitting,[],[f130,f131_D]) ).
fof(f130,plain,
! [X3,X0,X4,X5] :
( ~ r2(X4,X3)
| ~ r1(X4)
| ~ r3(X3,X5,X0)
| ~ r1(X5)
| ~ sP21(X0) ),
inference(general_splitting,[],[f128,f129_D]) ).
fof(f128,plain,
! [X3,X0,X1,X4,X5] :
( ~ id(X0,X1)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r3(X3,X5,X0)
| ~ r1(X5)
| ~ sP20(X1) ),
inference(general_splitting,[],[f68,f127_D]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X2,X1)
| ~ r1(X2)
| ~ id(X0,X1)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r3(X3,X5,X0)
| ~ r1(X5) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r2(X2,X1)
| ~ r1(X2) )
| ~ id(X0,X1) )
| ! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ~ r1(X4) )
| ! [X5] :
( ~ r3(X3,X5,X0)
| ~ r1(X5) ) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ? [X0] :
( ? [X1] :
( ? [X2] :
( r2(X2,X1)
& r1(X2) )
& id(X0,X1) )
& ? [X3] :
( ? [X4] :
( r2(X4,X3)
& r1(X4) )
& ? [X5] :
( r3(X3,X5,X0)
& r1(X5) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X62] :
( ? [X46] :
( ? [X48] :
( r2(X48,X46)
& r1(X48) )
& id(X62,X46) )
& ? [X45] :
( ? [X40] :
( r2(X40,X45)
& r1(X40) )
& ? [X39] :
( r3(X45,X39,X62)
& r1(X39) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X62] :
( ? [X46] :
( ? [X48] :
( r2(X48,X46)
& r1(X48) )
& id(X62,X46) )
& ? [X45] :
( ? [X40] :
( r2(X40,X45)
& r1(X40) )
& ? [X39] :
( r3(X45,X39,X62)
& r1(X39) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',onepluszeroidone) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUN070+1 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n022.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 02:24:28 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (28350)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (28351)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.38 % (28353)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)
% 0.16/0.38 % (28354)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.38 % (28355)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.38 % (28356)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.38 % (28357)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)
% 0.16/0.38 % (28352)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 % (28353)First to succeed.
% 0.22/0.39 TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.39 % (28353)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Theorem for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39 % (28353)------------------------------
% 0.22/0.39 % (28353)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.39 % (28353)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (28353)Memory used [KB]: 992
% 0.22/0.39 % (28353)Time elapsed: 0.010 s
% 0.22/0.39 % (28353)Instructions burned: 14 (million)
% 0.22/0.39 % (28353)------------------------------
% 0.22/0.39 % (28353)------------------------------
% 0.22/0.39 % (28350)Success in time 0.027 s
%------------------------------------------------------------------------------