TSTP Solution File: GRP123-3.003 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP123-3.003 : 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 : 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 16:20:18 EDT 2022
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 21 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 74 ( 32 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 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 : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f299,plain,
$false,
inference(subsumption_resolution,[],[f298,f46]) ).
fof(f46,plain,
~ group_element(e_2),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f18,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f298,plain,
group_element(e_2),
inference(subsumption_resolution,[],[f297,f287]) ).
fof(f287,plain,
product(e_1,e_2,e_1),
inference(resolution,[],[f93,f270]) ).
fof(f270,plain,
~ product(e_3,e_2,e_1),
inference(subsumption_resolution,[],[f264,f59]) ).
fof(f59,plain,
! [X0] : ~ product(X0,X0,X0),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f30,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
fof(f264,plain,
( ~ product(e_3,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(resolution,[],[f90,f135]) ).
fof(f135,plain,
( ~ product(e_3,e_2,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(subsumption_resolution,[],[f134,f34]) ).
fof(f34,plain,
~ group_element(e_3),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f19,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f134,plain,
( ~ product(e_3,e_2,e_1)
| group_element(e_3)
| ~ product(e_3,e_2,e_2) ),
inference(subsumption_resolution,[],[f133,f46]) ).
fof(f133,plain,
( group_element(e_2)
| ~ product(e_3,e_2,e_1)
| group_element(e_3)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[],[f131,f64]) ).
fof(f64,plain,
! [X0,X1] :
( ~ product(X0,X1,e_3)
| ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_1)
| group_element(X0)
| group_element(X1) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X0)
| ~ group_element(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f131,plain,
product(e_3,e_2,e_3),
inference(factoring,[],[f123]) ).
fof(f123,plain,
! [X0] :
( product(X0,e_2,e_3)
| product(e_3,e_2,X0) ),
inference(resolution,[],[f109,f59]) ).
fof(f109,plain,
! [X0,X1] :
( product(X1,e_3,e_3)
| product(X0,e_2,e_3)
| product(X1,e_2,X0) ),
inference(resolution,[],[f65,f59]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( product(X2,e_2,X3)
| product(X1,e_3,X3)
| product(X0,e_3,X1)
| product(X0,e_2,X2) ),
inference(resolution,[],[f35,f39]) ).
fof(f39,plain,
! [X8,X6,X9,X7,X4,X5] :
( ~ equalish(X7,X9)
| product(X5,X9,X8)
| product(X5,X7,X6)
| product(X8,X9,X4)
| product(X6,X7,X4) ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f32,axiom,
! [X8,X6,X9,X7,X4,X5] :
( equalish(X7,X9)
| ~ product(X8,X9,X4)
| ~ product(X6,X7,X4)
| ~ product(X5,X7,X6)
| ~ product(X5,X9,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1_2) ).
fof(f35,plain,
equalish(e_2,e_3),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f23,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f90,plain,
! [X0,X1] :
( product(e_3,X0,X1)
| product(e_2,X0,X1) ),
inference(resolution,[],[f53,f35]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,X2)
| product(X2,X1,X0)
| product(X3,X1,X0) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f29,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X0)
| equalish(X3,X2)
| ~ product(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f93,plain,
! [X6,X7] :
( product(e_3,X6,X7)
| product(e_1,X6,X7) ),
inference(resolution,[],[f53,f58]) ).
fof(f58,plain,
equalish(e_1,e_3),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f21,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f297,plain,
( ~ product(e_1,e_2,e_1)
| group_element(e_2) ),
inference(subsumption_resolution,[],[f296,f41]) ).
fof(f41,plain,
~ group_element(e_1),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f17,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f296,plain,
( group_element(e_1)
| ~ product(e_1,e_2,e_1)
| group_element(e_2) ),
inference(subsumption_resolution,[],[f295,f271]) ).
fof(f271,plain,
product(e_1,e_2,e_2),
inference(resolution,[],[f91,f59]) ).
fof(f91,plain,
! [X2,X3] :
( product(e_2,X2,X3)
| product(e_1,X2,X3) ),
inference(resolution,[],[f53,f37]) ).
fof(f37,plain,
equalish(e_2,e_1),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f22,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f295,plain,
( ~ product(e_1,e_2,e_2)
| group_element(e_1)
| group_element(e_2)
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[],[f274,f64]) ).
fof(f274,plain,
product(e_1,e_2,e_3),
inference(resolution,[],[f270,f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP123-3.003 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:26:50 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.49 % (4346)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.49 % (4337)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.50 % (4362)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)
% 0.21/0.51 % (4354)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51 % (4347)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51 % (4337)Refutation not found, incomplete strategy% (4337)------------------------------
% 0.21/0.51 % (4337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (4337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (4337)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (4337)Memory used [KB]: 5373
% 0.21/0.51 % (4337)Time elapsed: 0.112 s
% 0.21/0.51 % (4337)Instructions burned: 1 (million)
% 0.21/0.51 % (4337)------------------------------
% 0.21/0.51 % (4337)------------------------------
% 0.21/0.51 % (4355)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (4340)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (4344)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (4339)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)
% 0.21/0.53 % (4338)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.53 % (4344)Instruction limit reached!
% 0.21/0.53 % (4344)------------------------------
% 0.21/0.53 % (4344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (4344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (4344)Termination reason: Unknown
% 0.21/0.53 % (4344)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (4344)Memory used [KB]: 5373
% 0.21/0.53 % (4344)Time elapsed: 0.128 s
% 0.21/0.53 % (4344)Instructions burned: 3 (million)
% 0.21/0.53 % (4344)------------------------------
% 0.21/0.53 % (4344)------------------------------
% 0.21/0.53 % (4358)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)
% 0.21/0.53 % (4355)First to succeed.
% 0.21/0.53 % (4364)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53 % (4341)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.53 % (4365)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.53 % (4336)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.53 % (4345)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (4355)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (4355)------------------------------
% 0.21/0.54 % (4355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (4355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (4355)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (4355)Memory used [KB]: 1023
% 0.21/0.54 % (4355)Time elapsed: 0.128 s
% 0.21/0.54 % (4355)Instructions burned: 14 (million)
% 0.21/0.54 % (4355)------------------------------
% 0.21/0.54 % (4355)------------------------------
% 0.21/0.54 % (4335)Success in time 0.182 s
%------------------------------------------------------------------------------