TSTP Solution File: GRP125-1.003 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP125-1.003 : 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_sat --cores 0 -t %d %s
% Computer : n007.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 16:20:22 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 17 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 78 ( 32 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f129,plain,
$false,
inference(subsumption_resolution,[],[f126,f29]) ).
fof(f29,plain,
~ equalish(e_3,e_1),
inference(literal_reordering,[],[f8]) ).
fof(f8,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f126,plain,
equalish(e_3,e_1),
inference(resolution,[],[f115,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| equalish(X1,X0) ),
inference(resolution,[],[f18,f28]) ).
fof(f28,plain,
! [X0] : product(X0,X0,X0),
inference(literal_reordering,[],[f14]) ).
fof(f14,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X2,X3) ),
inference(literal_reordering,[],[f11]) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
fof(f115,plain,
product(e_1,e_1,e_3),
inference(resolution,[],[f107,f102]) ).
fof(f102,plain,
product(e_2,e_3,e_1),
inference(subsumption_resolution,[],[f101,f17]) ).
fof(f17,plain,
~ equalish(e_3,e_2),
inference(literal_reordering,[],[f9]) ).
fof(f9,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f101,plain,
( equalish(e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[],[f90,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ~ product(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f26,f28]) ).
fof(f26,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X1)
| equalish(X2,X3)
| ~ product(X0,X2,X1) ),
inference(literal_reordering,[],[f12]) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X1)
| equalish(X2,X3)
| ~ product(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f90,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(subsumption_resolution,[],[f89,f17]) ).
fof(f89,plain,
( equalish(e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2) ),
inference(resolution,[],[f49,f33]) ).
fof(f33,plain,
! [X0,X1] :
( ~ product(X1,X0,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f16,f28]) ).
fof(f16,plain,
! [X2,X3,X0,X1] :
( ~ product(X2,X1,X0)
| equalish(X2,X3)
| ~ product(X3,X1,X0) ),
inference(literal_reordering,[],[f13]) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( ~ product(X2,X1,X0)
| equalish(X2,X3)
| ~ product(X3,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f49,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2) ),
inference(resolution,[],[f39,f21]) ).
fof(f21,plain,
group_element(e_3),
inference(literal_reordering,[],[f3]) ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
fof(f39,plain,
! [X2] :
( ~ group_element(X2)
| product(e_2,X2,e_2)
| product(e_2,X2,e_3)
| product(e_2,X2,e_1) ),
inference(resolution,[],[f27,f24]) ).
fof(f24,plain,
group_element(e_2),
inference(literal_reordering,[],[f2]) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
fof(f27,plain,
! [X0,X1] :
( ~ group_element(X0)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| ~ group_element(X1)
| product(X0,X1,e_1) ),
inference(literal_reordering,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( product(X0,X1,e_3)
| product(X0,X1,e_2)
| ~ group_element(X1)
| ~ group_element(X0)
| product(X0,X1,e_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
fof(f107,plain,
! [X3] :
( ~ product(e_2,e_3,X3)
| product(e_1,X3,e_3) ),
inference(resolution,[],[f96,f23]) ).
fof(f23,plain,
! [X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| product(X4,X5,X0)
| ~ product(X1,X0,X5) ),
inference(literal_reordering,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X4,X5] :
( ~ product(X1,X0,X5)
| product(X4,X5,X0)
| ~ product(X0,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
fof(f96,plain,
product(e_3,e_2,e_1),
inference(subsumption_resolution,[],[f95,f19]) ).
fof(f19,plain,
~ equalish(e_2,e_3),
inference(literal_reordering,[],[f7]) ).
fof(f7,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f95,plain,
( product(e_3,e_2,e_1)
| equalish(e_2,e_3) ),
inference(resolution,[],[f72,f33]) ).
fof(f72,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(subsumption_resolution,[],[f71,f19]) ).
fof(f71,plain,
( product(e_3,e_2,e_1)
| equalish(e_2,e_3)
| product(e_3,e_2,e_2) ),
inference(resolution,[],[f47,f36]) ).
fof(f47,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(resolution,[],[f38,f24]) ).
fof(f38,plain,
! [X1] :
( ~ group_element(X1)
| product(e_3,X1,e_3)
| product(e_3,X1,e_2)
| product(e_3,X1,e_1) ),
inference(resolution,[],[f27,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP125-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:59:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.50 % (29541)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (29538)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (29549)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 % (29539)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (29549)First to succeed.
% 0.19/0.51 % (29558)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.51 % (29548)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 Detected maximum model sizes of [3]
% 0.19/0.51 % (29550)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 % (29552)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52 % (29556)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (29559)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (29557)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52 % (29560)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (29549)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (29549)------------------------------
% 0.19/0.52 % (29549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (29549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (29549)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (29549)Memory used [KB]: 5756
% 0.19/0.52 % (29549)Time elapsed: 0.007 s
% 0.19/0.52 % (29549)Instructions burned: 10 (million)
% 0.19/0.52 % (29549)------------------------------
% 0.19/0.52 % (29549)------------------------------
% 0.19/0.52 % (29532)Success in time 0.165 s
%------------------------------------------------------------------------------