TSTP Solution File: GRP125-1.003 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP125-1.003 : TPTP v8.2.0. Released v1.2.0.
% 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 : Mon May 20 21:15:12 EDT 2024
% Result : Unsatisfiable 0.15s 0.31s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 67 ( 19 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f99,plain,
$false,
inference(subsumption_resolution,[],[f98,f6]) ).
fof(f6,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f98,plain,
equalish(e_2,e_1),
inference(resolution,[],[f92,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ product(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f12,f14]) ).
fof(f14,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X1)
| equalish(X2,X3)
| ~ product(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f92,plain,
product(e_1,e_2,e_1),
inference(subsumption_resolution,[],[f90,f4]) ).
fof(f4,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f90,plain,
( product(e_1,e_2,e_1)
| equalish(e_1,e_2) ),
inference(resolution,[],[f83,f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f13,f14]) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X0)
| equalish(X2,X3)
| ~ product(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f83,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(subsumption_resolution,[],[f81,f6]) ).
fof(f81,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| equalish(e_2,e_1) ),
inference(resolution,[],[f75,f22]) ).
fof(f75,plain,
( product(e_2,e_1,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(subsumption_resolution,[],[f73,f4]) ).
fof(f73,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_1,e_1)
| equalish(e_1,e_2) ),
inference(resolution,[],[f67,f20]) ).
fof(f67,plain,
( product(e_2,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_1,e_1) ),
inference(subsumption_resolution,[],[f65,f5]) ).
fof(f5,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f65,plain,
( product(e_2,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_1,e_2)
| equalish(e_1,e_3) ),
inference(resolution,[],[f55,f18]) ).
fof(f18,plain,
! [X0,X1] :
( ~ product(X1,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f11,f14]) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| equalish(X2,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
fof(f55,plain,
( product(e_3,e_3,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,[],[f34,f33]) ).
fof(f33,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[],[f28,f15]) ).
fof(f15,axiom,
! [X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X1,X0,X5)
| product(X4,X5,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
fof(f28,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[],[f24,f2]) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f24,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1) ),
inference(resolution,[],[f10,f1]) ).
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f10,axiom,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f34,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[],[f25,f1]) ).
fof(f25,plain,
! [X0] :
( ~ group_element(X0)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[],[f10,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP125-1.003 : TPTP v8.2.0. Released v1.2.0.
% 0.09/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n010.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun May 19 05:16:23 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (21468)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.31 % (21473)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.31 % (21470)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.31 Detected minimum model sizes of [1]
% 0.15/0.31 Detected maximum model sizes of [3]
% 0.15/0.31 TRYING [1]
% 0.15/0.31 % (21473)First to succeed.
% 0.15/0.31 TRYING [2]
% 0.15/0.31 TRYING [3]
% 0.15/0.31 % (21473)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21468"
% 0.15/0.31 % (21470)Also succeeded, but the first one will report.
% 0.15/0.31 % (21473)Refutation found. Thanks to Tanya!
% 0.15/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.31 % (21473)------------------------------
% 0.15/0.31 % (21473)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.31 % (21473)Termination reason: Refutation
% 0.15/0.31
% 0.15/0.31 % (21473)Memory used [KB]: 764
% 0.15/0.31 % (21473)Time elapsed: 0.004 s
% 0.15/0.31 % (21473)Instructions burned: 9 (million)
% 0.15/0.31 % (21468)Success in time 0.012 s
%------------------------------------------------------------------------------