TSTP Solution File: GRP133-2.003 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP133-2.003 : 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_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 16:14:31 EDT 2022
% Result : Unsatisfiable 1.72s 0.57s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 48 ( 12 unt; 0 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 132 ( 63 ~; 69 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 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(f125,plain,
$false,
inference(subsumption_resolution,[],[f124,f116]) ).
fof(f116,plain,
! [X8] :
( ~ product(e_1,X8,e_2)
| ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_2,X8) ),
inference(subsumption_resolution,[],[f111,f72]) ).
fof(f72,plain,
! [X1] :
( product(e_2,e_1,e_2)
| ~ product(e_1,e_2,X1)
| ~ product(e_1,X1,e_2) ),
inference(resolution,[],[f70,f37]) ).
fof(f37,plain,
! [X2,X3] :
( ~ product(e_3,X2,X3)
| ~ product(e_1,X2,X3) ),
inference(resolution,[],[f19,f11]) ).
fof(f11,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f19,axiom,
! [X3,X0,X1,X4] :
( equalish(X3,X4)
| ~ product(X3,X1,X0)
| ~ product(X4,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f70,plain,
! [X0] :
( product(e_3,X0,e_2)
| ~ product(e_1,e_2,X0)
| product(e_2,e_1,e_2) ),
inference(resolution,[],[f66,f20]) ).
fof(f20,axiom,
! [X0,X1,X6,X5] :
( ~ product(X0,X1,X5)
| product(X5,X6,X0)
| ~ product(X1,X0,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
fof(f66,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(subsumption_resolution,[],[f46,f57]) ).
fof(f57,plain,
~ product(e_2,e_1,e_1),
inference(subsumption_resolution,[],[f56,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[],[f19,f10]) ).
fof(f10,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f56,plain,
( product(e_1,e_1,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(subsumption_resolution,[],[f53,f48]) ).
fof(f48,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(subsumption_resolution,[],[f45,f23]) ).
fof(f23,plain,
~ product(e_1,e_1,e_3),
inference(resolution,[],[f21,f5]) ).
fof(f5,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_2) ).
fof(f21,plain,
! [X0] :
( ~ greater(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[],[f6,f1]) ).
fof(f1,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_then_e_2) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ next(X0,X2)
| ~ product(X0,e_1,X1)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy) ).
fof(f45,plain,
( product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[],[f42,f7]) ).
fof(f7,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f42,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_3)
| product(X0,e_1,e_2) ),
inference(resolution,[],[f16,f7]) ).
fof(f16,axiom,
! [X0,X1] :
( ~ group_element(X1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| ~ group_element(X0)
| product(X0,X1,e_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f53,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[],[f50,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[],[f18,f10]) ).
fof(f18,axiom,
! [X3,X0,X1,X4] :
( equalish(X3,X4)
| ~ product(X0,X3,X1)
| ~ product(X0,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f50,plain,
! [X0] :
( product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0)
| product(e_1,e_1,e_1) ),
inference(resolution,[],[f48,f20]) ).
fof(f46,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(resolution,[],[f42,f8]) ).
fof(f8,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f111,plain,
! [X8] :
( ~ product(e_1,e_2,X8)
| ~ product(e_1,X8,e_2)
| ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[],[f84,f30]) ).
fof(f84,plain,
! [X2,X3] :
( product(e_2,X3,e_2)
| ~ product(e_1,e_2,X2)
| ~ product(e_1,e_2,X3)
| ~ product(e_1,X2,e_2) ),
inference(resolution,[],[f72,f20]) ).
fof(f124,plain,
product(e_1,e_2,e_2),
inference(subsumption_resolution,[],[f123,f106]) ).
fof(f106,plain,
~ product(e_1,e_2,e_3),
inference(subsumption_resolution,[],[f105,f91]) ).
fof(f91,plain,
( product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(subsumption_resolution,[],[f90,f36]) ).
fof(f90,plain,
( product(e_2,e_2,e_3)
| ~ product(e_1,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(duplicate_literal_removal,[],[f89]) ).
fof(f89,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_3)
| ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[],[f74,f70]) ).
fof(f74,plain,
! [X3,X4] :
( ~ product(X3,e_3,X4)
| ~ product(e_1,e_2,X3)
| product(e_2,e_1,e_2)
| product(e_2,X4,e_3) ),
inference(resolution,[],[f70,f20]) ).
fof(f105,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_1,e_2) ),
inference(duplicate_literal_removal,[],[f102]) ).
fof(f102,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[],[f94,f31]) ).
fof(f31,plain,
! [X2,X3] :
( ~ product(X2,e_3,X3)
| ~ product(X2,e_1,X3) ),
inference(resolution,[],[f18,f11]) ).
fof(f94,plain,
! [X0] :
( product(e_2,X0,e_2)
| ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[],[f91,f20]) ).
fof(f123,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(subsumption_resolution,[],[f120,f61]) ).
fof(f61,plain,
~ product(e_1,e_2,e_1),
inference(subsumption_resolution,[],[f60,f30]) ).
fof(f60,plain,
( product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_1) ),
inference(duplicate_literal_removal,[],[f59]) ).
fof(f59,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[],[f51,f48]) ).
fof(f51,plain,
! [X0] :
( ~ product(e_1,e_1,X0)
| product(e_1,e_1,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[],[f50,f36]) ).
fof(f120,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_3) ),
inference(resolution,[],[f43,f7]) ).
fof(f43,plain,
! [X1] :
( ~ group_element(X1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1)
| product(X1,e_2,e_3) ),
inference(resolution,[],[f16,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP133-2.003 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.32 % Computer : n001.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Aug 29 22:37:30 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.42 % (14305)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.17/0.44 % (14313)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)
% 0.17/0.45 % (14324)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.46 % (14313)Instruction limit reached!
% 0.17/0.46 % (14313)------------------------------
% 0.17/0.46 % (14313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.46 % (14324)Instruction limit reached!
% 0.17/0.46 % (14324)------------------------------
% 0.17/0.46 % (14324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.46 % (14313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.46 % (14313)Termination reason: Unknown
% 0.17/0.46 % (14313)Termination phase: Saturation
% 0.17/0.46
% 0.17/0.46 % (14313)Memory used [KB]: 5884
% 0.17/0.46 % (14313)Time elapsed: 0.096 s
% 0.17/0.46 % (14313)Instructions burned: 3 (million)
% 0.17/0.46 % (14313)------------------------------
% 0.17/0.46 % (14313)------------------------------
% 0.17/0.46 % (14324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.46 % (14324)Termination reason: Unknown
% 0.17/0.46 % (14324)Termination phase: Saturation
% 0.17/0.46
% 0.17/0.46 % (14324)Memory used [KB]: 6012
% 0.17/0.46 % (14324)Time elapsed: 0.098 s
% 0.17/0.46 % (14324)Instructions burned: 8 (million)
% 0.17/0.46 % (14324)------------------------------
% 0.17/0.46 % (14324)------------------------------
% 0.17/0.51 % (14332)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.17/0.52 % (14320)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)
% 0.17/0.52 % (14328)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)
% 0.17/0.52 % (14332)Refutation not found, incomplete strategy% (14332)------------------------------
% 0.17/0.52 % (14332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52 % (14332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (14332)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.52
% 0.17/0.52 % (14332)Memory used [KB]: 1279
% 0.17/0.52 % (14332)Time elapsed: 0.098 s
% 0.17/0.52 % (14332)Instructions burned: 2 (million)
% 0.17/0.52 % (14332)------------------------------
% 0.17/0.52 % (14332)------------------------------
% 0.17/0.52 Detected maximum model sizes of [3]
% 0.17/0.52 TRYING [1]
% 0.17/0.52 TRYING [2]
% 0.17/0.52 TRYING [3]
% 0.17/0.53 % (14320)Instruction limit reached!
% 0.17/0.53 % (14320)------------------------------
% 0.17/0.53 % (14320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53 % (14320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53 % (14320)Termination reason: Unknown
% 0.17/0.53 % (14320)Termination phase: Finite model building SAT solving
% 0.17/0.53
% 0.17/0.53 % (14320)Memory used [KB]: 5884
% 0.17/0.53 % (14320)Time elapsed: 0.097 s
% 0.17/0.53 % (14320)Instructions burned: 6 (million)
% 0.17/0.53 % (14320)------------------------------
% 0.17/0.53 % (14320)------------------------------
% 0.17/0.54 % (14311)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)
% 0.17/0.56 % (14310)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.17/0.57 % (14306)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.17/0.57 % (14327)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)
% 0.17/0.57 % (14308)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)
% 0.17/0.57 % (14316)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)
% 0.17/0.57 % (14314)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.57 % (14309)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.17/0.57 % (14309)Refutation not found, incomplete strategy% (14309)------------------------------
% 0.17/0.57 % (14309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.57 % (14309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.57 % (14309)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.57
% 0.17/0.57 % (14309)Memory used [KB]: 5756
% 0.17/0.57 % (14309)Time elapsed: 0.170 s
% 0.17/0.57 % (14309)------------------------------
% 0.17/0.57 % (14309)------------------------------
% 0.17/0.57 % (14315)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.57 % (14315)Refutation not found, incomplete strategy% (14315)------------------------------
% 0.17/0.57 % (14315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.57 % (14315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.57 % (14315)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.57
% 0.17/0.57 % (14315)Memory used [KB]: 5884
% 0.17/0.57 % (14315)Time elapsed: 0.168 s
% 0.17/0.57 % (14315)Instructions burned: 2 (million)
% 0.17/0.57 % (14315)------------------------------
% 0.17/0.57 % (14315)------------------------------
% 0.17/0.57 % (14312)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)
% 0.17/0.57 % (14311)First to succeed.
% 1.72/0.57 % (14311)Refutation found. Thanks to Tanya!
% 1.72/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.72/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.57 % (14311)------------------------------
% 1.72/0.57 % (14311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.57 % (14311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.57 % (14311)Termination reason: Refutation
% 1.72/0.57
% 1.72/0.57 % (14311)Memory used [KB]: 1407
% 1.72/0.57 % (14311)Time elapsed: 0.157 s
% 1.72/0.57 % (14311)Instructions burned: 8 (million)
% 1.72/0.57 % (14311)------------------------------
% 1.72/0.57 % (14311)------------------------------
% 1.72/0.57 % (14304)Success in time 0.238 s
%------------------------------------------------------------------------------