TSTP Solution File: FLD025-5 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD025-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n008.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 16:06:42 EDT 2022
% Result : Unsatisfiable 1.40s 0.54s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 28 ( 15 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 23 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f308,plain,
$false,
inference(subsumption_resolution,[],[f307,f37]) ).
fof(f37,axiom,
~ product(multiplicative_identity,u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_11) ).
fof(f307,plain,
product(multiplicative_identity,u,v),
inference(resolution,[],[f301,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f301,plain,
product(u,multiplicative_identity,v),
inference(resolution,[],[f232,f184]) ).
fof(f184,plain,
product(c,b,v),
inference(resolution,[],[f138,f125]) ).
fof(f125,plain,
product(multiplicative_identity,d,c),
inference(subsumption_resolution,[],[f124,f17]) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f124,plain,
( ~ defined(multiplicative_identity)
| product(multiplicative_identity,d,c) ),
inference(resolution,[],[f80,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f80,plain,
! [X1] :
( ~ product(X1,multiplicative_identity,multiplicative_identity)
| product(X1,d,c) ),
inference(subsumption_resolution,[],[f78,f29]) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f78,plain,
! [X1] :
( product(X1,d,c)
| ~ product(X1,multiplicative_identity,multiplicative_identity)
| ~ defined(c) ),
inference(resolution,[],[f46,f8]) ).
fof(f46,plain,
! [X3,X4,X5] :
( ~ product(X5,c,X4)
| product(X3,d,X4)
| ~ product(X3,multiplicative_identity,X5) ),
inference(resolution,[],[f6,f34]) ).
fof(f34,axiom,
product(multiplicative_identity,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_8) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X5,X1)
| product(X0,X1,X2)
| ~ product(X4,X5,X2)
| ~ product(X0,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_1) ).
fof(f138,plain,
! [X0] :
( ~ product(multiplicative_identity,d,X0)
| product(X0,b,v) ),
inference(subsumption_resolution,[],[f137,f32]) ).
fof(f32,axiom,
defined(v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_is_defined) ).
fof(f137,plain,
! [X0] :
( product(X0,b,v)
| ~ product(multiplicative_identity,d,X0)
| ~ defined(v) ),
inference(resolution,[],[f61,f8]) ).
fof(f61,plain,
! [X24,X22,X23] :
( ~ product(X22,v,X24)
| product(X23,b,X24)
| ~ product(X22,d,X23) ),
inference(resolution,[],[f7,f36]) ).
fof(f36,axiom,
product(d,b,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_10) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| product(X4,X5,X2)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_2) ).
fof(f232,plain,
! [X2] :
( ~ product(c,b,X2)
| product(u,multiplicative_identity,X2) ),
inference(resolution,[],[f58,f41]) ).
fof(f41,plain,
product(c,a,u),
inference(resolution,[],[f10,f35]) ).
fof(f35,axiom,
product(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_9) ).
fof(f58,plain,
! [X14,X15,X13] :
( ~ product(X13,a,X14)
| ~ product(X13,b,X15)
| product(X14,multiplicative_identity,X15) ),
inference(resolution,[],[f7,f38]) ).
fof(f38,plain,
product(a,multiplicative_identity,b),
inference(resolution,[],[f10,f33]) ).
fof(f33,axiom,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : FLD025-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n008.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 20:39:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (3407)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)
% 0.19/0.50 % (3426)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)
% 0.19/0.50 % (3424)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51 % (3406)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.25/0.51 % (3411)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)
% 1.25/0.52 % (3408)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)
% 1.25/0.52 TRYING [1]
% 1.25/0.52 TRYING [2]
% 1.25/0.52 % (3416)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.25/0.52 TRYING [3]
% 1.25/0.52 % (3418)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)
% 1.25/0.52 % (3422)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)
% 1.25/0.52 % (3412)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.25/0.52 % (3409)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.25/0.52 % (3432)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)
% 1.25/0.52 % (3431)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.40/0.53 % (3402)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)
% 1.40/0.53 % (3403)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)
% 1.40/0.53 % (3405)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)
% 1.40/0.53 % (3410)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.40/0.53 % (3403)Refutation not found, incomplete strategy% (3403)------------------------------
% 1.40/0.53 % (3403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (3404)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)
% 1.40/0.53 % (3417)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)
% 1.40/0.53 % (3410)Instruction limit reached!
% 1.40/0.53 % (3410)------------------------------
% 1.40/0.53 % (3410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (3410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (3410)Termination reason: Unknown
% 1.40/0.53 % (3410)Termination phase: Saturation
% 1.40/0.53
% 1.40/0.53 % (3410)Memory used [KB]: 5373
% 1.40/0.53 % (3410)Time elapsed: 0.136 s
% 1.40/0.53 % (3410)Instructions burned: 3 (million)
% 1.40/0.53 % (3410)------------------------------
% 1.40/0.53 % (3410)------------------------------
% 1.40/0.53 % (3425)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)
% 1.40/0.53 % (3421)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.53 % (3423)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.40/0.54 % (3409)Instruction limit reached!
% 1.40/0.54 % (3409)------------------------------
% 1.40/0.54 % (3409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54 % (3403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (3403)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.54
% 1.40/0.54 % (3403)Memory used [KB]: 5373
% 1.40/0.54 % (3403)Time elapsed: 0.140 s
% 1.40/0.54 % (3403)Instructions burned: 2 (million)
% 1.40/0.54 % (3403)------------------------------
% 1.40/0.54 % (3403)------------------------------
% 1.40/0.54 % (3428)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.40/0.54 % (3409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (3409)Termination reason: Unknown
% 1.40/0.54 % (3409)Termination phase: Saturation
% 1.40/0.54
% 1.40/0.54 % (3409)Memory used [KB]: 5500
% 1.40/0.54 % (3409)Time elapsed: 0.091 s
% 1.40/0.54 % (3409)Instructions burned: 9 (million)
% 1.40/0.54 % (3409)------------------------------
% 1.40/0.54 % (3409)------------------------------
% 1.40/0.54 % (3427)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.40/0.54 % (3426)First to succeed.
% 1.40/0.54 % (3415)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.40/0.54 % (3420)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.40/0.54 % (3426)Refutation found. Thanks to Tanya!
% 1.40/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.40/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.54 % (3426)------------------------------
% 1.40/0.54 % (3426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54 % (3426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (3426)Termination reason: Refutation
% 1.40/0.54
% 1.40/0.54 % (3426)Memory used [KB]: 5500
% 1.40/0.54 % (3426)Time elapsed: 0.105 s
% 1.40/0.54 % (3426)Instructions burned: 23 (million)
% 1.40/0.54 % (3426)------------------------------
% 1.40/0.54 % (3426)------------------------------
% 1.40/0.54 % (3400)Success in time 0.189 s
%------------------------------------------------------------------------------