TSTP Solution File: GRP123-4.003 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP123-4.003 : 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 : n020.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 16:14:16 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 48 ( 10 unt; 0 def)
% Number of atoms : 137 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 164 ( 75 ~; 85 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 110 ( 110 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f143,plain,
$false,
inference(unit_resulting_resolution,[],[f8,f142,f117]) ).
fof(f117,plain,
! [X4] :
( ~ product(e_1,e_3,X4)
| equalish(e_2,X4) ),
inference(resolution,[],[f110,f13]) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
fof(f110,plain,
product(e_1,e_3,e_2),
inference(subsumption_resolution,[],[f109,f97]) ).
fof(f97,plain,
( product(e_2,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(subsumption_resolution,[],[f88,f11]) ).
fof(f11,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f88,plain,
( equalish(e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(resolution,[],[f73,f37]) ).
fof(f37,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f13,f16]) ).
fof(f16,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
fof(f73,plain,
( product(e_3,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(resolution,[],[f45,f5]) ).
fof(f5,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f45,plain,
! [X1] :
( ~ group_element(X1)
| product(e_3,X1,e_2)
| product(e_2,X1,e_2)
| product(e_1,X1,e_2) ),
inference(resolution,[],[f1,f4]) ).
fof(f4,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f1,axiom,
! [X0,X1] :
( ~ group_element(X1)
| product(e_2,X0,X1)
| ~ group_element(X0)
| product(e_1,X0,X1)
| product(e_3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',row_surjectivity) ).
fof(f109,plain,
( product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_2) ),
inference(subsumption_resolution,[],[f107,f11]) ).
fof(f107,plain,
( equalish(e_3,e_2)
| product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[],[f97,f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ product(X2,X1,X0)
| equalish(X1,X0)
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f35,f16]) ).
fof(f35,plain,
! [X2,X3,X0,X1] :
( ~ product(X2,X1,X1)
| ~ product(X2,X0,X3)
| equalish(X0,X1)
| ~ product(X3,X0,X1) ),
inference(resolution,[],[f30,f16]) ).
fof(f30,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X5,X3,X4)
| equalish(X1,X3)
| ~ product(X0,X1,X2)
| ~ product(X2,X1,X4)
| ~ product(X0,X3,X5) ),
inference(resolution,[],[f28,f23]) ).
fof(f23,plain,
! [X8,X6,X9,X7] :
( sP2(X9,X6,X8)
| ~ product(X9,X8,X7)
| ~ product(X7,X8,X6) ),
inference(cnf_transformation,[],[f23_D]) ).
fof(f23_D,plain,
! [X8,X6,X9] :
( ! [X7] :
( ~ product(X9,X8,X7)
| ~ product(X7,X8,X6) )
<=> ~ sP2(X9,X6,X8) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f28,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X3,X4)
| ~ product(X0,X1,X2)
| equalish(X1,X4)
| ~ product(X2,X1,X3) ),
inference(resolution,[],[f26,f25]) ).
fof(f25,plain,
! [X8,X6,X9,X5] :
( sP3(X5,X9,X6)
| equalish(X5,X8)
| ~ sP2(X9,X6,X8) ),
inference(cnf_transformation,[],[f25_D]) ).
fof(f25_D,plain,
! [X6,X9,X5] :
( ! [X8] :
( equalish(X5,X8)
| ~ sP2(X9,X6,X8) )
<=> ~ sP3(X5,X9,X6) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f26,plain,
! [X6,X9,X4,X5] :
( ~ sP3(X5,X9,X6)
| ~ product(X9,X5,X4)
| ~ product(X4,X5,X6) ),
inference(general_splitting,[],[f24,f25_D]) ).
fof(f24,plain,
! [X8,X6,X9,X4,X5] :
( equalish(X5,X8)
| ~ product(X4,X5,X6)
| ~ product(X9,X5,X4)
| ~ sP2(X9,X6,X8) ),
inference(general_splitting,[],[f18,f23_D]) ).
fof(f18,axiom,
! [X8,X6,X9,X7,X4,X5] :
( ~ product(X7,X8,X6)
| equalish(X5,X8)
| ~ product(X9,X8,X7)
| ~ product(X4,X5,X6)
| ~ product(X9,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1_2) ).
fof(f142,plain,
product(e_1,e_3,e_1),
inference(subsumption_resolution,[],[f134,f10]) ).
fof(f10,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f134,plain,
( product(e_1,e_3,e_1)
| equalish(e_3,e_1) ),
inference(resolution,[],[f114,f37]) ).
fof(f114,plain,
( product(e_3,e_3,e_1)
| product(e_1,e_3,e_1) ),
inference(resolution,[],[f110,f66]) ).
fof(f66,plain,
( ~ product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_3,e_3,e_1) ),
inference(subsumption_resolution,[],[f64,f8]) ).
fof(f64,plain,
( product(e_1,e_3,e_1)
| equalish(e_2,e_1)
| product(e_3,e_3,e_1)
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[],[f49,f32]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ product(X0,X2,X1)
| ~ product(X1,X2,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f31,f16]) ).
fof(f31,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X3)
| equalish(X2,X3)
| ~ product(X0,X1,X2)
| ~ product(X2,X1,X3) ),
inference(resolution,[],[f29,f16]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X5,X4)
| ~ product(X0,X1,X2)
| ~ product(X2,X1,X4)
| ~ product(X0,X5,X3)
| equalish(X2,X3) ),
inference(resolution,[],[f27,f19]) ).
fof(f19,plain,
! [X8,X6,X9,X7] :
( sP0(X6,X7,X9)
| ~ product(X7,X8,X6)
| ~ product(X9,X8,X7) ),
inference(cnf_transformation,[],[f19_D]) ).
fof(f19_D,plain,
! [X9,X7,X6] :
( ! [X8] :
( ~ product(X7,X8,X6)
| ~ product(X9,X8,X7) )
<=> ~ sP0(X6,X7,X9) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f27,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP0(X3,X4,X0)
| ~ product(X0,X1,X2)
| equalish(X2,X4)
| ~ product(X2,X1,X3) ),
inference(resolution,[],[f22,f21]) ).
fof(f21,plain,
! [X6,X9,X7,X4] :
( sP1(X6,X4,X9)
| ~ sP0(X6,X7,X9)
| equalish(X4,X7) ),
inference(cnf_transformation,[],[f21_D]) ).
fof(f21_D,plain,
! [X9,X4,X6] :
( ! [X7] :
( ~ sP0(X6,X7,X9)
| equalish(X4,X7) )
<=> ~ sP1(X6,X4,X9) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f22,plain,
! [X6,X9,X4,X5] :
( ~ sP1(X6,X4,X9)
| ~ product(X9,X5,X4)
| ~ product(X4,X5,X6) ),
inference(general_splitting,[],[f20,f21_D]) ).
fof(f20,plain,
! [X6,X9,X7,X4,X5] :
( ~ product(X9,X5,X4)
| equalish(X4,X7)
| ~ product(X4,X5,X6)
| ~ sP0(X6,X7,X9) ),
inference(general_splitting,[],[f17,f19_D]) ).
fof(f17,axiom,
! [X8,X6,X9,X7,X4,X5] :
( ~ product(X9,X5,X4)
| equalish(X4,X7)
| ~ product(X9,X8,X7)
| ~ product(X4,X5,X6)
| ~ product(X7,X8,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1_1) ).
fof(f49,plain,
( product(e_2,e_3,e_1)
| product(e_1,e_3,e_1)
| product(e_3,e_3,e_1) ),
inference(resolution,[],[f44,f5]) ).
fof(f44,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_3,X0,e_1)
| product(e_2,X0,e_1) ),
inference(resolution,[],[f1,f3]) ).
fof(f3,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f8,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP123-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:14:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.43 % (17751)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)
% 0.19/0.44 % (17771)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)
% 0.19/0.44 % (17751)Refutation not found, incomplete strategy% (17751)------------------------------
% 0.19/0.44 % (17751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.44 % (17762)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)
% 0.19/0.44 % (17751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.44 % (17751)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.44
% 0.19/0.44 % (17751)Memory used [KB]: 5884
% 0.19/0.44 % (17751)Time elapsed: 0.066 s
% 0.19/0.44 % (17751)Instructions burned: 3 (million)
% 0.19/0.44 % (17751)------------------------------
% 0.19/0.44 % (17751)------------------------------
% 0.19/0.45 % (17762)Instruction limit reached!
% 0.19/0.45 % (17762)------------------------------
% 0.19/0.45 % (17762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45 % (17772)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)
% 0.19/0.45 % (17762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45 % (17762)Termination reason: Unknown
% 0.19/0.45 % (17762)Termination phase: Saturation
% 0.19/0.45
% 0.19/0.45 % (17762)Memory used [KB]: 5884
% 0.19/0.45 % (17762)Time elapsed: 0.075 s
% 0.19/0.45 % (17762)Instructions burned: 3 (million)
% 0.19/0.45 % (17762)------------------------------
% 0.19/0.45 % (17762)------------------------------
% 0.19/0.46 % (17755)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)
% 0.19/0.47 % (17763)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)
% 0.19/0.47 % (17763)First to succeed.
% 0.19/0.49 % (17763)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 % (17763)------------------------------
% 0.19/0.49 % (17763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (17763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (17763)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (17763)Memory used [KB]: 1535
% 0.19/0.49 % (17763)Time elapsed: 0.063 s
% 0.19/0.49 % (17763)Instructions burned: 17 (million)
% 0.19/0.49 % (17763)------------------------------
% 0.19/0.49 % (17763)------------------------------
% 0.19/0.49 % (17748)Success in time 0.143 s
%------------------------------------------------------------------------------