TSTP Solution File: GRP125-4.003 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP125-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 : Sun May 5 05:53:34 EDT 2024
% Result : Unsatisfiable 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 45 ( 16 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,plain,
$false,
inference(subsumption_resolution,[],[f77,f11]) ).
fof(f11,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f77,plain,
equalish(e_2,e_3),
inference(resolution,[],[f76,f66]) ).
fof(f66,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| equalish(X0,e_3) ),
inference(resolution,[],[f62,f15]) ).
fof(f15,axiom,
! [X0,X1,X4,X5] :
( ~ product(X0,X1,X5)
| equalish(X4,X5)
| ~ product(X0,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
fof(f62,plain,
product(e_2,e_1,e_3),
inference(subsumption_resolution,[],[f60,f9]) ).
fof(f9,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f60,plain,
( product(e_2,e_1,e_3)
| equalish(e_1,e_3) ),
inference(resolution,[],[f53,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ product(X1,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f15,f18]) ).
fof(f18,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
fof(f53,plain,
( product(e_3,e_3,e_1)
| product(e_2,e_1,e_3) ),
inference(subsumption_resolution,[],[f51,f19]) ).
fof(f19,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X1,X0,X3)
| product(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
fof(f51,plain,
( product(e_2,e_1,e_3)
| product(e_1,e_1,e_3)
| product(e_3,e_3,e_1) ),
inference(resolution,[],[f37,f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ product(X0,X1,X0)
| product(X0,X0,X1) ),
inference(resolution,[],[f4,f18]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X2,X3,X0)
| product(X1,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3_2) ).
fof(f37,plain,
( product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[],[f31,f7]) ).
fof(f7,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
fof(f31,plain,
! [X0] :
( ~ group_element(X0)
| product(e_3,e_1,X0)
| product(e_2,e_1,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[],[f1,f5]) ).
fof(f5,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
fof(f1,axiom,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product(e_3,X0,X1)
| product(e_2,X0,X1)
| product(e_1,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',row_surjectivity) ).
fof(f76,plain,
product(e_2,e_1,e_2),
inference(subsumption_resolution,[],[f75,f4]) ).
fof(f75,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_1,e_2) ),
inference(subsumption_resolution,[],[f74,f24]) ).
fof(f24,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| product(X0,X1,X0) ),
inference(resolution,[],[f19,f18]) ).
fof(f74,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[],[f68,f36]) ).
fof(f36,plain,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[],[f31,f6]) ).
fof(f6,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
fof(f68,plain,
! [X0] :
( ~ product(e_3,X0,e_2)
| product(e_1,e_2,X0) ),
inference(resolution,[],[f62,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP125-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:39:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (6879)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (6884)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (6884)First to succeed.
% 0.14/0.37 % (6884)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6879"
% 0.14/0.37 % (6884)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (6884)------------------------------
% 0.14/0.37 % (6884)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (6884)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (6884)Memory used [KB]: 758
% 0.14/0.37 % (6884)Time elapsed: 0.003 s
% 0.14/0.37 % (6884)Instructions burned: 7 (million)
% 0.14/0.37 % (6879)Success in time 0.002 s
%------------------------------------------------------------------------------