TSTP Solution File: GRP036-3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP036-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n001.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 : Wed Aug 31 16:13:47 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 20 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,plain,
$false,
inference(unit_resulting_resolution,[],[f15,f15,f4,f40,f9]) ).
fof(f9,axiom,
! [X8,X6,X7] :
( ~ product(X6,inverse(X7),X8)
| subgroup_member(X8)
| ~ subgroup_member(X6)
| ~ subgroup_member(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_product_and_inverse) ).
fof(f40,plain,
~ subgroup_member(identity),
inference(subsumption_resolution,[],[f33,f16]) ).
fof(f16,axiom,
identity != another_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_identity_equals_another_identity) ).
fof(f33,plain,
( ~ subgroup_member(identity)
| identity = another_identity ),
inference(resolution,[],[f19,f2]) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f19,plain,
! [X8,X9] :
( ~ product(another_identity,X8,X9)
| X8 = X9
| ~ subgroup_member(X8) ),
inference(resolution,[],[f10,f6]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
fof(f10,axiom,
! [X6] :
( product(another_identity,X6,X6)
| ~ subgroup_member(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_left_identity) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f15,axiom,
subgroup_member(another_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_identity_in_subgroup) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP036-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:30:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.47 % (24089)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49 % (24076)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.49 % (24076)First to succeed.
% 0.19/0.49 % (24089)Instruction limit reached!
% 0.19/0.49 % (24089)------------------------------
% 0.19/0.49 % (24089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (24089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (24089)Termination reason: Unknown
% 0.19/0.49 % (24089)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (24089)Memory used [KB]: 5884
% 0.19/0.49 % (24089)Time elapsed: 0.093 s
% 0.19/0.49 % (24089)Instructions burned: 3 (million)
% 0.19/0.49 % (24089)------------------------------
% 0.19/0.49 % (24089)------------------------------
% 0.19/0.49 % (24076)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (24076)------------------------------
% 0.19/0.49 % (24076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (24076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (24076)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (24076)Memory used [KB]: 1407
% 0.19/0.49 % (24076)Time elapsed: 0.100 s
% 0.19/0.49 % (24076)Instructions burned: 3 (million)
% 0.19/0.49 % (24076)------------------------------
% 0.19/0.49 % (24076)------------------------------
% 0.19/0.49 % (24070)Success in time 0.151 s
%------------------------------------------------------------------------------