TSTP Solution File: GRP131-1.002 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP131-1.002 : TPTP v8.1.0. Released v1.2.0.
% 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 : n026.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 16:14:30 EDT 2022
% Result : Unsatisfiable 0.22s 0.57s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 12 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 93 ( 47 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67,plain,
$false,
inference(resolution,[],[f66,f54]) ).
fof(f54,plain,
product(e_1,e_2,e_1),
inference(resolution,[],[f49,f25]) ).
fof(f25,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[],[f22,f1]) ).
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
fof(f22,plain,
! [X1] :
( ~ group_element(X1)
| product(X1,e_2,e_1)
| product(X1,e_2,e_2) ),
inference(resolution,[],[f5,f2]) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
fof(f5,axiom,
! [X0,X1] :
( ~ group_element(X1)
| product(X0,X1,e_1)
| ~ group_element(X0)
| product(X0,X1,e_2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
fof(f49,plain,
~ product(e_1,e_2,e_2),
inference(resolution,[],[f47,f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[],[f8,f3]) ).
fof(f3,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( equalish(X2,X3)
| ~ product(X2,X1,X0)
| ~ product(X3,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f47,plain,
product(e_2,e_2,e_2),
inference(subsumption_resolution,[],[f26,f46]) ).
fof(f46,plain,
~ product(e_2,e_2,e_1),
inference(subsumption_resolution,[],[f45,f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[],[f7,f3]) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( equalish(X2,X3)
| ~ product(X0,X3,X1)
| ~ product(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f45,plain,
( ~ product(e_2,e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(subsumption_resolution,[],[f44,f19]) ).
fof(f44,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_1,e_1)
| ~ product(e_2,e_2,e_1) ),
inference(subsumption_resolution,[],[f38,f24]) ).
fof(f24,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[],[f21,f2]) ).
fof(f21,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_2)
| product(X0,e_1,e_1) ),
inference(resolution,[],[f5,f1]) ).
fof(f38,plain,
( product(e_1,e_2,e_1)
| ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[],[f25,f32]) ).
fof(f32,plain,
! [X2,X1] :
( ~ product(X1,e_2,X2)
| ~ product(e_2,e_1,X2)
| ~ product(e_2,e_2,X1)
| product(e_2,e_1,e_1) ),
inference(resolution,[],[f24,f11]) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,e_1,X3)
| ~ product(X1,e_2,X2)
| ~ product(X0,e_2,X1)
| ~ product(X3,e_1,X2) ),
inference(resolution,[],[f3,f10]) ).
fof(f10,axiom,
! [X8,X6,X9,X7,X4,X5] :
( equalish(X5,X8)
| ~ product(X9,X8,X7)
| ~ product(X7,X8,X6)
| ~ product(X4,X5,X6)
| ~ product(X9,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1_2) ).
fof(f26,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(resolution,[],[f22,f2]) ).
fof(f66,plain,
! [X0] : ~ product(e_1,X0,e_1),
inference(subsumption_resolution,[],[f64,f59]) ).
fof(f59,plain,
~ product(e_1,e_1,e_1),
inference(resolution,[],[f54,f17]) ).
fof(f64,plain,
! [X0] :
( product(e_1,e_1,e_1)
| ~ product(e_1,X0,e_1) ),
inference(duplicate_literal_removal,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ~ product(e_1,X0,e_1)
| product(e_1,e_1,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[],[f55,f29]) ).
fof(f29,plain,
! [X2,X3] :
( ~ product(e_2,e_1,X3)
| ~ product(e_1,X2,X3)
| ~ product(e_1,X2,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[],[f23,f12]) ).
fof(f12,plain,
! [X6,X7,X4,X5] :
( ~ product(X4,X7,e_2)
| ~ product(e_1,X5,X6)
| ~ product(e_2,X7,X6)
| ~ product(X4,X5,e_1) ),
inference(resolution,[],[f3,f9]) ).
fof(f9,axiom,
! [X8,X6,X9,X7,X4,X5] :
( equalish(X4,X7)
| ~ product(X9,X5,X4)
| ~ product(X4,X5,X6)
| ~ product(X7,X8,X6)
| ~ product(X9,X8,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg1_1) ).
fof(f23,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[],[f21,f1]) ).
fof(f55,plain,
product(e_2,e_1,e_1),
inference(resolution,[],[f51,f24]) ).
fof(f51,plain,
~ product(e_2,e_1,e_2),
inference(resolution,[],[f47,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP131-1.002 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 29 22:29:50 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.56 % (14506)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.56 % (14505)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)
% 0.22/0.56 % (14504)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)
% 0.22/0.56 % (14506)Instruction limit reached!
% 0.22/0.56 % (14506)------------------------------
% 0.22/0.56 % (14506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56 % (14506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56 % (14506)Termination reason: Unknown
% 0.22/0.56 % (14506)Termination phase: Saturation
% 0.22/0.56
% 0.22/0.56 % (14506)Memory used [KB]: 5756
% 0.22/0.56 % (14506)Time elapsed: 0.127 s
% 0.22/0.56 % (14506)Instructions burned: 3 (million)
% 0.22/0.56 % (14506)------------------------------
% 0.22/0.56 % (14506)------------------------------
% 0.22/0.56 % (14504)First to succeed.
% 0.22/0.57 % (14514)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.57 % (14522)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.22/0.57 % (14514)Instruction limit reached!
% 0.22/0.57 % (14514)------------------------------
% 0.22/0.57 % (14514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.57 % (14514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.57 % (14514)Termination reason: Unknown
% 0.22/0.57 % (14514)Termination phase: Saturation
% 0.22/0.57
% 0.22/0.57 % (14514)Memory used [KB]: 5756
% 0.22/0.57 % (14514)Time elapsed: 0.005 s
% 0.22/0.57 % (14514)Instructions burned: 2 (million)
% 0.22/0.57 % (14514)------------------------------
% 0.22/0.57 % (14514)------------------------------
% 0.22/0.57 % (14520)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)
% 0.22/0.57 % (14513)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)
% 0.22/0.57 % (14512)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)
% 0.22/0.57 % (14521)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)
% 0.22/0.57 % (14504)Refutation found. Thanks to Tanya!
% 0.22/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.57 % (14504)------------------------------
% 0.22/0.57 % (14504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.57 % (14504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.57 % (14504)Termination reason: Refutation
% 0.22/0.57
% 0.22/0.57 % (14504)Memory used [KB]: 1279
% 0.22/0.57 % (14504)Time elapsed: 0.128 s
% 0.22/0.57 % (14504)Instructions burned: 4 (million)
% 0.22/0.57 % (14504)------------------------------
% 0.22/0.57 % (14504)------------------------------
% 0.22/0.57 % (14497)Success in time 0.204 s
%------------------------------------------------------------------------------