TSTP Solution File: GRP047-2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP047-2 : 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 : n021.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 11:51:00 EDT 2024
% Result : Unsatisfiable 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 24 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4026,plain,
$false,
inference(resolution,[],[f3933,f3708]) ).
fof(f3708,plain,
~ product(c,identity,c),
inference(resolution,[],[f870,f32]) ).
fof(f32,plain,
~ product(c,a,multiply(c,b)),
inference(resolution,[],[f12,f9]) ).
fof(f9,axiom,
~ equalish(multiply(c,a),multiply(c,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_multiply_substitution2) ).
fof(f12,plain,
! [X2,X0,X1] :
( equalish(multiply(X0,X1),X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f4,f3]) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
fof(f870,plain,
! [X0,X1] :
( product(X1,a,multiply(X0,b))
| ~ product(X0,identity,X1) ),
inference(resolution,[],[f26,f3]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ product(X0,b,X1)
| ~ product(X0,identity,X2)
| product(X2,a,X1) ),
inference(resolution,[],[f21,f6]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| ~ product(X0,X5,X3)
| ~ product(X0,X1,X4)
| product(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).
fof(f21,plain,
product(identity,a,b),
inference(resolution,[],[f15,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f15,plain,
! [X0,X1] :
( ~ product(X0,X1,a)
| product(X0,X1,b) ),
inference(resolution,[],[f7,f8]) ).
fof(f8,axiom,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ equalish(X0,X1)
| ~ product(X3,X2,X0)
| product(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution3) ).
fof(f3933,plain,
! [X0] : product(X0,identity,X0),
inference(resolution,[],[f151,f122]) ).
fof(f122,plain,
! [X0] : product(inverse(inverse(X0)),identity,X0),
inference(resolution,[],[f46,f1]) ).
fof(f46,plain,
! [X0,X1] :
( ~ product(identity,X0,X1)
| product(inverse(inverse(X0)),identity,X1) ),
inference(resolution,[],[f19,f2]) ).
fof(f2,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f19,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,inverse(X1),X0)
| ~ product(X0,X1,X2)
| product(X3,identity,X2) ),
inference(resolution,[],[f5,f2]) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| ~ product(X4,X2,X3)
| ~ product(X0,X1,X4)
| product(X0,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ product(inverse(inverse(X0)),X1,X2)
| product(X0,X1,X2) ),
inference(resolution,[],[f122,f22]) ).
fof(f22,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,identity,X3)
| ~ product(X0,X1,X2)
| product(X3,X1,X2) ),
inference(resolution,[],[f6,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP047-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 04:27:55 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (17924)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (17925)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 % (17930)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39 % (17931)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)
% 0.15/0.39 % (17927)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 % (17926)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 % (17928)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.40 % (17929)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [4]
% 0.15/0.40 TRYING [4]
% 0.15/0.40 TRYING [4]
% 0.15/0.41 TRYING [5]
% 0.15/0.41 TRYING [5]
% 0.15/0.41 TRYING [5]
% 0.15/0.41 TRYING [5]
% 0.15/0.43 TRYING [6]
% 0.15/0.43 TRYING [6]
% 0.15/0.43 TRYING [6]
% 0.22/0.44 TRYING [6]
% 0.22/0.48 TRYING [7]
% 0.22/0.48 TRYING [7]
% 0.22/0.48 TRYING [7]
% 0.22/0.48 % (17930)First to succeed.
% 0.22/0.49 % (17930)Refutation found. Thanks to Tanya!
% 0.22/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.49 % (17930)------------------------------
% 0.22/0.49 % (17930)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.49 % (17930)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (17930)Memory used [KB]: 1753
% 0.22/0.49 % (17930)Time elapsed: 0.095 s
% 0.22/0.49 % (17930)Instructions burned: 246 (million)
% 0.22/0.49 % (17930)------------------------------
% 0.22/0.49 % (17930)------------------------------
% 0.22/0.49 % (17924)Success in time 0.118 s
%------------------------------------------------------------------------------