TSTP Solution File: GRP022-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP022-1 : 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 : n015.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 16:13:43 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 33 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 20 ~; 17 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f121,plain,
$false,
inference(unit_resulting_resolution,[],[f9,f117,f15]) ).
fof(f15,plain,
! [X2,X3] :
( ~ product(X2,identity,X3)
| X2 = X3 ),
inference(resolution,[],[f6,f2]) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
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(f117,plain,
! [X2] : product(inverse(inverse(X2)),identity,X2),
inference(resolution,[],[f105,f3]) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(inverse(X0),X2,X1) ),
inference(resolution,[],[f70,f3]) ).
fof(f70,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X0,identity)
| ~ product(X0,X1,X2)
| product(X3,X2,X1) ),
inference(resolution,[],[f53,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f53,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X3,X5,X1)
| product(X0,X1,X2)
| ~ product(X0,X3,X4) ),
inference(resolution,[],[f13,f12]) ).
fof(f12,plain,
! [X2,X3,X1,X4,X5] :
( sP1(X3,X4,X5,X1)
| ~ product(X4,X2,X3)
| ~ product(X1,X2,X5) ),
inference(cnf_transformation,[],[f12_D]) ).
fof(f12_D,plain,
! [X1,X5,X4,X3] :
( ! [X2] :
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X5) )
<=> ~ sP1(X3,X4,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f13,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP1(X3,X4,X5,X1)
| product(X0,X5,X3)
| ~ product(X0,X1,X4) ),
inference(general_splitting,[],[f7,f12_D]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X1,X2,X5)
| ~ product(X4,X2,X3)
| product(X0,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
fof(f9,axiom,
a != inverse(inverse(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_of_inverse_is_original) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP022-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 22:19:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.49 % (8526)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.18/0.49 % (8538)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.18/0.49 % (8547)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.50 % (8539)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.50 TRYING [1]
% 0.18/0.50 % (8538)First to succeed.
% 0.18/0.50 % (8529)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.50 % (8525)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.50 TRYING [2]
% 0.18/0.50 TRYING [3]
% 0.18/0.50 % (8531)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (8537)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)
% 0.18/0.50 % (8531)Refutation not found, incomplete strategy% (8531)------------------------------
% 0.18/0.50 % (8531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (8531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (8531)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50
% 0.18/0.50 % (8531)Memory used [KB]: 5756
% 0.18/0.50 % (8531)Time elapsed: 0.063 s
% 0.18/0.50 % (8531)Instructions burned: 1 (million)
% 0.18/0.50 % (8531)------------------------------
% 0.18/0.50 % (8531)------------------------------
% 0.18/0.50 % (8539)Instruction limit reached!
% 0.18/0.50 % (8539)------------------------------
% 0.18/0.50 % (8539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (8539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (8539)Termination reason: Unknown
% 0.18/0.50 % (8539)Termination phase: Finite model building SAT solving
% 0.18/0.50
% 0.18/0.50 % (8539)Memory used [KB]: 6012
% 0.18/0.50 % (8539)Time elapsed: 0.064 s
% 0.18/0.50 % (8539)Instructions burned: 8 (million)
% 0.18/0.50 % (8539)------------------------------
% 0.18/0.50 % (8539)------------------------------
% 0.18/0.50 % (8546)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.18/0.50 % (8546)Refutation not found, incomplete strategy% (8546)------------------------------
% 0.18/0.50 % (8546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (8546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (8546)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50
% 0.18/0.50 % (8546)Memory used [KB]: 5756
% 0.18/0.50 % (8546)Time elapsed: 0.107 s
% 0.18/0.50 % (8546)Instructions burned: 2 (million)
% 0.18/0.50 % (8546)------------------------------
% 0.18/0.50 % (8546)------------------------------
% 0.18/0.51 % (8538)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (8538)------------------------------
% 0.18/0.51 % (8538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (8538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (8538)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (8538)Memory used [KB]: 1407
% 0.18/0.51 % (8538)Time elapsed: 0.100 s
% 0.18/0.51 % (8538)Instructions burned: 10 (million)
% 0.18/0.51 % (8538)------------------------------
% 0.18/0.51 % (8538)------------------------------
% 0.18/0.51 % (8519)Success in time 0.161 s
%------------------------------------------------------------------------------