TSTP Solution File: GRP123-9.003 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP123-9.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 16:14:17 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 52 ( 13 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 109 ( 50 ~; 54 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f202,plain,
$false,
inference(avatar_sat_refutation,[],[f88,f112,f136,f162,f183,f200]) ).
fof(f200,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f199]) ).
fof(f199,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f195,f7]) ).
fof(f7,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f195,plain,
( equalish(e_1,e_3)
| ~ spl0_4 ),
inference(resolution,[],[f157,f24]) ).
fof(f24,plain,
! [X0,X1] :
( ~ product1(X0,X1,X0)
| equalish(X1,X0) ),
inference(resolution,[],[f14,f16]) ).
fof(f16,axiom,
! [X0] : product1(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_idempotence) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ product1(X0,X3,X1)
| ~ product1(X0,X2,X1)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_right_cancellation) ).
fof(f157,plain,
( product1(e_3,e_1,e_3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl0_4
<=> product1(e_3,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f183,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f182]) ).
fof(f182,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f176,f7]) ).
fof(f176,plain,
( equalish(e_1,e_3)
| ~ spl0_5 ),
inference(resolution,[],[f161,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ product1(X0,X1,X1)
| equalish(X1,X0) ),
inference(resolution,[],[f53,f16]) ).
fof(f53,plain,
! [X8,X6,X7] :
( ~ product1(X8,X7,X7)
| ~ product1(X6,X7,X8)
| equalish(X7,X6) ),
inference(resolution,[],[f28,f21]) ).
fof(f21,axiom,
! [X0] : product2(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_idempotence) ).
fof(f28,plain,
! [X2,X3,X0,X1,X4] :
( ~ product2(X0,X1,X2)
| ~ product1(X3,X2,X4)
| equalish(X1,X3)
| ~ product1(X4,X2,X0) ),
inference(resolution,[],[f19,f22]) ).
fof(f22,axiom,
! [X0,X1,X4,X5] :
( product2(X5,X0,X1)
| ~ product1(X4,X1,X5)
| ~ product1(X0,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1a) ).
fof(f19,axiom,
! [X2,X3,X0,X1] :
( ~ product2(X0,X3,X1)
| ~ product2(X0,X2,X1)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_right_cancellation) ).
fof(f161,plain,
( product1(e_3,e_1,e_1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl0_5
<=> product1(e_3,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f162,plain,
( spl0_4
| spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f153,f77,f159,f155]) ).
fof(f77,plain,
( spl0_1
<=> product1(e_2,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f153,plain,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_3)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f67,f150]) ).
fof(f150,plain,
( ~ product1(e_3,e_1,e_2)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f140,f7]) ).
fof(f140,plain,
( equalish(e_1,e_3)
| ~ product1(e_3,e_1,e_2)
| ~ spl0_1 ),
inference(resolution,[],[f79,f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ product1(X2,X0,X1)
| equalish(X0,X1)
| ~ product1(X1,X0,X2) ),
inference(resolution,[],[f27,f22]) ).
fof(f27,plain,
! [X6,X5] :
( ~ product2(X5,X5,X6)
| equalish(X6,X5) ),
inference(resolution,[],[f18,f21]) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_total_function2) ).
fof(f79,plain,
( product1(e_2,e_1,e_3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f67,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_1) ),
inference(resolution,[],[f32,f5]) ).
fof(f5,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
fof(f32,plain,
! [X0] :
( ~ group_element(X0)
| product1(X0,e_1,e_2)
| product1(X0,e_1,e_1)
| product1(X0,e_1,e_3) ),
inference(resolution,[],[f12,f3]) ).
fof(f3,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
fof(f12,axiom,
! [X0,X1] :
( ~ group_element(X1)
| ~ group_element(X0)
| product1(X0,X1,e_2)
| product1(X0,X1,e_3)
| product1(X0,X1,e_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_total_function1) ).
fof(f136,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f135]) ).
fof(f135,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f130,f6]) ).
fof(f6,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f130,plain,
( equalish(e_1,e_2)
| ~ spl0_3 ),
inference(resolution,[],[f87,f24]) ).
fof(f87,plain,
( product1(e_2,e_1,e_2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl0_3
<=> product1(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f112,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f111]) ).
fof(f111,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f108,f8]) ).
fof(f8,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f108,plain,
( equalish(e_2,e_1)
| ~ spl0_2 ),
inference(resolution,[],[f83,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ product1(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f15,f16]) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ product1(X3,X1,X0)
| ~ product1(X2,X1,X0)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_left_cancellation) ).
fof(f83,plain,
( product1(e_2,e_1,e_1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_2
<=> product1(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f88,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f66,f85,f81,f77]) ).
fof(f66,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_3) ),
inference(resolution,[],[f32,f4]) ).
fof(f4,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP123-9.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.13 % 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 22:34:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.48 % (3276)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)
% 0.20/0.48 % (3276)Refutation not found, incomplete strategy% (3276)------------------------------
% 0.20/0.48 % (3276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (3276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (3276)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48 % (3276)Memory used [KB]: 5756
% 0.20/0.48 % (3276)Time elapsed: 0.001 s
% 0.20/0.48 % (3276)------------------------------
% 0.20/0.48 % (3276)------------------------------
% 0.20/0.49 % (3284)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.49 % (3290)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.49 % (3284)First to succeed.
% 0.20/0.50 % (3284)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (3284)------------------------------
% 0.20/0.50 % (3284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (3284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (3284)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (3284)Memory used [KB]: 5884
% 0.20/0.50 % (3284)Time elapsed: 0.099 s
% 0.20/0.50 % (3284)Instructions burned: 12 (million)
% 0.20/0.50 % (3284)------------------------------
% 0.20/0.50 % (3284)------------------------------
% 0.20/0.50 % (3272)Success in time 0.152 s
%------------------------------------------------------------------------------