TSTP Solution File: GRP009-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP009-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n006.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 16:13:41 EDT 2022
% Result : Unsatisfiable 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 20 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f169,plain,
$false,
inference(subsumption_resolution,[],[f156,f90]) ).
fof(f90,plain,
product(identity,inverse(b),c),
inference(unit_resulting_resolution,[],[f4,f2,f10,f8]) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X0,X5,X3)
| ~ product(X1,X2,X5)
| product(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
fof(f10,axiom,
product(c,b,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_an_inverse_of_b) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f156,plain,
~ product(identity,inverse(b),c),
inference(unit_resulting_resolution,[],[f4,f9,f16,f7]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X2,X3)
| ~ product(X0,X1,X4)
| ~ product(X1,X2,X5)
| product(X0,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
fof(f16,plain,
~ product(a,identity,c),
inference(unit_resulting_resolution,[],[f2,f11,f6]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
fof(f11,axiom,
a != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_equals_c) ).
fof(f9,axiom,
product(a,b,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_an_inverse_of_b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:06:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.50 % (30428)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)
% 0.19/0.50 % (30411)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.50 % (30420)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)
% 0.19/0.50 % (30406)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.51 % (30417)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)
% 0.19/0.51 % (30412)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)
% 0.19/0.51 % (30435)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (30419)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)
% 0.19/0.52 % (30419)Instruction limit reached!
% 0.19/0.52 % (30419)------------------------------
% 0.19/0.52 % (30419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (30419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (30419)Termination reason: Unknown
% 0.19/0.52 % (30419)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (30419)Memory used [KB]: 5884
% 0.19/0.52 % (30419)Time elapsed: 0.110 s
% 0.19/0.52 % (30419)Instructions burned: 4 (million)
% 0.19/0.52 % (30419)------------------------------
% 0.19/0.52 % (30419)------------------------------
% 0.19/0.52 % (30428)First to succeed.
% 0.19/0.52 % (30421)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)
% 0.19/0.52 % (30427)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.53 % (30427)Refutation not found, incomplete strategy% (30427)------------------------------
% 0.19/0.53 % (30427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (30427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (30427)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (30427)Memory used [KB]: 5756
% 0.19/0.53 % (30427)Time elapsed: 0.116 s
% 0.19/0.53 % (30427)Instructions burned: 2 (million)
% 0.19/0.53 % (30427)------------------------------
% 0.19/0.53 % (30427)------------------------------
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (30410)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)
% 0.19/0.53 % (30409)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)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (30421)Instruction limit reached!
% 0.19/0.53 % (30421)------------------------------
% 0.19/0.53 % (30421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (30421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (30421)Termination reason: Unknown
% 0.19/0.53 % (30421)Termination phase: Finite model building SAT solving
% 0.19/0.53
% 0.19/0.53 % (30421)Memory used [KB]: 6012
% 0.19/0.53 % (30421)Time elapsed: 0.135 s
% 0.19/0.53 % (30421)Instructions burned: 8 (million)
% 0.19/0.53 % (30421)------------------------------
% 0.19/0.53 % (30421)------------------------------
% 0.19/0.53 % (30418)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.53 % (30414)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)
% 0.19/0.53 % (30413)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)
% 0.19/0.53 % (30413)Refutation not found, incomplete strategy% (30413)------------------------------
% 0.19/0.53 % (30413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (30413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (30413)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (30413)Memory used [KB]: 5756
% 0.19/0.53 % (30413)Time elapsed: 0.126 s
% 0.19/0.53 % (30413)Instructions burned: 1 (million)
% 0.19/0.53 % (30413)------------------------------
% 0.19/0.53 % (30413)------------------------------
% 0.19/0.53 % (30414)Instruction limit reached!
% 0.19/0.53 % (30414)------------------------------
% 0.19/0.53 % (30414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (30429)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)
% 0.19/0.53 % (30414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (30414)Termination reason: Unknown
% 0.19/0.53 % (30414)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (30414)Memory used [KB]: 5756
% 0.19/0.53 % (30414)Time elapsed: 0.127 s
% 0.19/0.53 % (30414)Instructions burned: 4 (million)
% 0.19/0.53 % (30414)------------------------------
% 0.19/0.53 % (30414)------------------------------
% 0.19/0.53 % (30416)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)
% 0.19/0.53 % (30415)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)
% 0.19/0.53 % (30418)Instruction limit reached!
% 0.19/0.53 % (30418)------------------------------
% 0.19/0.53 % (30418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (30418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (30418)Termination reason: Unknown
% 0.19/0.53 % (30418)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (30418)Memory used [KB]: 5884
% 0.19/0.53 % (30418)Time elapsed: 0.117 s
% 0.19/0.53 % (30418)Instructions burned: 5 (million)
% 0.19/0.53 % (30418)------------------------------
% 0.19/0.53 % (30418)------------------------------
% 0.19/0.53 % (30407)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)
% 0.19/0.54 % (30416)Instruction limit reached!
% 0.19/0.54 % (30416)------------------------------
% 0.19/0.54 % (30416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (30416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (30416)Termination reason: Unknown
% 0.19/0.54 % (30416)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (30416)Memory used [KB]: 5884
% 0.19/0.54 % (30416)Time elapsed: 0.130 s
% 0.19/0.54 % (30416)Instructions burned: 7 (million)
% 0.19/0.54 % (30416)------------------------------
% 0.19/0.54 % (30416)------------------------------
% 0.19/0.54 % (30434)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.54 % (30431)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.54 % (30428)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (30428)------------------------------
% 0.19/0.54 % (30428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (30428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (30428)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (30428)Memory used [KB]: 5884
% 0.19/0.54 % (30428)Time elapsed: 0.079 s
% 0.19/0.54 % (30428)Instructions burned: 7 (million)
% 0.19/0.54 % (30428)------------------------------
% 0.19/0.54 % (30428)------------------------------
% 0.19/0.54 % (30405)Success in time 0.181 s
%------------------------------------------------------------------------------