TSTP Solution File: KLE010+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE010+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n017.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 17:28:44 EDT 2022
% Result : Theorem 2.03s 0.61s
% Output : Refutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of formulae : 77 ( 46 unt; 0 def)
% Number of atoms : 150 ( 79 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 122 ( 49 ~; 31 |; 28 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 107 ( 96 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f809,plain,
$false,
inference(subsumption_resolution,[],[f808,f709]) ).
fof(f709,plain,
one = addition(sK1,c(sK1)),
inference(resolution,[],[f109,f85]) ).
fof(f85,plain,
~ test(sK1),
inference(consistent_polarity_flipping,[],[f58]) ).
fof(f58,plain,
test(sK1),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( one != addition(addition(addition(addition(multiplication(sK0,sK1),multiplication(c(sK0),sK1)),multiplication(sK1,sK0)),multiplication(c(sK1),sK0)),multiplication(c(sK1),c(sK0)))
& test(sK0)
& test(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f37,f41]) ).
fof(f41,plain,
( ? [X0,X1] :
( one != addition(addition(addition(addition(multiplication(X0,X1),multiplication(c(X0),X1)),multiplication(X1,X0)),multiplication(c(X1),X0)),multiplication(c(X1),c(X0)))
& test(X0)
& test(X1) )
=> ( one != addition(addition(addition(addition(multiplication(sK0,sK1),multiplication(c(sK0),sK1)),multiplication(sK1,sK0)),multiplication(c(sK1),sK0)),multiplication(c(sK1),c(sK0)))
& test(sK0)
& test(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0,X1] :
( one != addition(addition(addition(addition(multiplication(X0,X1),multiplication(c(X0),X1)),multiplication(X1,X0)),multiplication(c(X1),X0)),multiplication(c(X1),c(X0)))
& test(X0)
& test(X1) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X0,X1] :
( one != addition(addition(addition(addition(multiplication(X0,X1),multiplication(c(X0),X1)),multiplication(X1,X0)),multiplication(c(X1),X0)),multiplication(c(X1),c(X0)))
& test(X0)
& test(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
~ ! [X0,X1] :
( ( test(X0)
& test(X1) )
=> one = addition(addition(addition(addition(multiplication(X0,X1),multiplication(c(X0),X1)),multiplication(X1,X0)),multiplication(c(X1),X0)),multiplication(c(X1),c(X0))) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X4,X3] :
( ( test(X4)
& test(X3) )
=> one = addition(addition(addition(addition(multiplication(X4,X3),multiplication(c(X4),X3)),multiplication(X3,X4)),multiplication(c(X3),X4)),multiplication(c(X3),c(X4))) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X4,X3] :
( ( test(X4)
& test(X3) )
=> one = addition(addition(addition(addition(multiplication(X4,X3),multiplication(c(X4),X3)),multiplication(X3,X4)),multiplication(c(X3),X4)),multiplication(c(X3),c(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f109,plain,
! [X0] :
( test(X0)
| one = addition(X0,c(X0)) ),
inference(forward_demodulation,[],[f107,f57]) ).
fof(f57,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f107,plain,
! [X0] :
( one = addition(c(X0),X0)
| test(X0) ),
inference(resolution,[],[f73,f84]) ).
fof(f84,plain,
! [X1] :
( complement(X1,c(X1))
| test(X1) ),
inference(consistent_polarity_flipping,[],[f80]) ).
fof(f80,plain,
! [X1] :
( complement(X1,c(X1))
| ~ test(X1) ),
inference(equality_resolution,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ~ test(X1)
| complement(X1,X0)
| c(X1) != X0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ test(X1)
| ( ( complement(X1,X0)
| c(X1) != X0 )
& ( c(X1) = X0
| ~ complement(X1,X0) ) ) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ~ test(X0)
| ( ( complement(X0,X1)
| c(X0) != X1 )
& ( c(X0) = X1
| ~ complement(X0,X1) ) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( ~ test(X0)
| ( complement(X0,X1)
<=> c(X0) = X1 ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( test(X0)
=> ( complement(X0,X1)
<=> c(X0) = X1 ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3,X4] :
( test(X3)
=> ( complement(X3,X4)
<=> c(X3) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f73,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( ( addition(X0,X1) = one
& zero = multiplication(X0,X1)
& zero = multiplication(X1,X0) )
| ~ complement(X1,X0) )
& ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0) ) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( ( addition(X0,X1) = one
& zero = multiplication(X0,X1)
& zero = multiplication(X1,X0) )
| ~ complement(X1,X0) )
& ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( addition(X0,X1) = one
& zero = multiplication(X0,X1)
& zero = multiplication(X1,X0) )
<=> complement(X1,X0) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] :
( ( zero = multiplication(X3,X4)
& one = addition(X3,X4)
& zero = multiplication(X4,X3) )
<=> complement(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f808,plain,
one != addition(sK1,c(sK1)),
inference(forward_demodulation,[],[f807,f56]) ).
fof(f56,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f807,plain,
one != addition(multiplication(sK1,one),c(sK1)),
inference(forward_demodulation,[],[f806,f755]) ).
fof(f755,plain,
one = addition(sK0,one),
inference(superposition,[],[f134,f677]) ).
fof(f677,plain,
one = addition(sK0,sK2(sK0)),
inference(resolution,[],[f108,f89]) ).
fof(f89,plain,
~ test(sK0),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f59,plain,
test(sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f108,plain,
! [X1] :
( test(X1)
| one = addition(X1,sK2(X1)) ),
inference(resolution,[],[f73,f86]) ).
fof(f86,plain,
! [X0] :
( complement(sK2(X0),X0)
| test(X0) ),
inference(consistent_polarity_flipping,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ~ test(X0)
| complement(sK2(X0),X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK2(X0),X0)
| ~ test(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f45,f46]) ).
fof(f46,plain,
! [X0] :
( ? [X2] : complement(X2,X0)
=> complement(sK2(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] :
( test(X3)
<=> ? [X4] : complement(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_1) ).
fof(f134,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f79,f66]) ).
fof(f66,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f79,plain,
! [X2,X0,X1] : addition(X0,addition(X2,X1)) = addition(addition(X0,X2),X1),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] : addition(X0,addition(X2,X1)) = addition(addition(X0,X2),X1),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X1,X0,X2] : addition(X1,addition(X2,X0)) = addition(addition(X1,X2),X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f806,plain,
one != addition(multiplication(sK1,addition(sK0,one)),c(sK1)),
inference(forward_demodulation,[],[f805,f57]) ).
fof(f805,plain,
one != addition(multiplication(sK1,addition(one,sK0)),c(sK1)),
inference(forward_demodulation,[],[f804,f153]) ).
fof(f153,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f55,f56]) ).
fof(f55,plain,
! [X2,X0,X1] : addition(multiplication(X1,X0),multiplication(X1,X2)) = multiplication(X1,addition(X0,X2)),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] : addition(multiplication(X1,X0),multiplication(X1,X2)) = multiplication(X1,addition(X0,X2)),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f804,plain,
one != addition(addition(sK1,multiplication(sK1,sK0)),c(sK1)),
inference(forward_demodulation,[],[f803,f57]) ).
fof(f803,plain,
one != addition(addition(multiplication(sK1,sK0),sK1),c(sK1)),
inference(forward_demodulation,[],[f802,f67]) ).
fof(f67,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f802,plain,
one != addition(addition(multiplication(sK1,sK0),multiplication(one,sK1)),c(sK1)),
inference(forward_demodulation,[],[f801,f56]) ).
fof(f801,plain,
one != addition(addition(multiplication(sK1,sK0),multiplication(one,sK1)),multiplication(c(sK1),one)),
inference(forward_demodulation,[],[f800,f710]) ).
fof(f710,plain,
one = addition(sK0,c(sK0)),
inference(resolution,[],[f109,f89]) ).
fof(f800,plain,
one != addition(addition(multiplication(sK1,sK0),multiplication(addition(sK0,c(sK0)),sK1)),multiplication(c(sK1),addition(sK0,c(sK0)))),
inference(forward_demodulation,[],[f779,f55]) ).
fof(f779,plain,
one != addition(addition(multiplication(sK1,sK0),multiplication(addition(sK0,c(sK0)),sK1)),addition(multiplication(c(sK1),sK0),multiplication(c(sK1),c(sK0)))),
inference(superposition,[],[f92,f136]) ).
fof(f136,plain,
! [X6,X4,X5] : addition(addition(X5,X4),X6) = addition(X4,addition(X5,X6)),
inference(superposition,[],[f79,f57]) ).
fof(f92,plain,
one != addition(addition(multiplication(c(sK1),sK0),addition(multiplication(sK1,sK0),multiplication(addition(sK0,c(sK0)),sK1))),multiplication(c(sK1),c(sK0))),
inference(forward_demodulation,[],[f91,f64]) ).
fof(f64,plain,
! [X2,X0,X1] : multiplication(addition(X2,X0),X1) = addition(multiplication(X2,X1),multiplication(X0,X1)),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] : multiplication(addition(X2,X0),X1) = addition(multiplication(X2,X1),multiplication(X0,X1)),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X2,X1,X0] : multiplication(addition(X0,X2),X1) = addition(multiplication(X0,X1),multiplication(X2,X1)),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X2,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f91,plain,
one != addition(addition(multiplication(c(sK1),sK0),addition(multiplication(sK1,sK0),addition(multiplication(sK0,sK1),multiplication(c(sK0),sK1)))),multiplication(c(sK1),c(sK0))),
inference(forward_demodulation,[],[f90,f57]) ).
fof(f90,plain,
one != addition(addition(multiplication(c(sK1),sK0),addition(addition(multiplication(sK0,sK1),multiplication(c(sK0),sK1)),multiplication(sK1,sK0))),multiplication(c(sK1),c(sK0))),
inference(forward_demodulation,[],[f60,f57]) ).
fof(f60,plain,
one != addition(addition(addition(addition(multiplication(sK0,sK1),multiplication(c(sK0),sK1)),multiplication(sK1,sK0)),multiplication(c(sK1),sK0)),multiplication(c(sK1),c(sK0))),
inference(cnf_transformation,[],[f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE010+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % 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 : n017.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 23:46:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.52 % (29377)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)
% 0.21/0.52 % (29382)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52 % (29388)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52 % (29392)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.52 % (29398)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)
% 0.21/0.53 % (29376)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 TRYING [1]
% 0.21/0.53 TRYING [2]
% 0.21/0.53 % (29390)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)
% 0.21/0.53 % (29382)Instruction limit reached!
% 0.21/0.53 % (29382)------------------------------
% 0.21/0.53 % (29382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (29382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (29382)Termination reason: Unknown
% 0.21/0.53 % (29382)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (29382)Memory used [KB]: 5373
% 0.21/0.53 % (29382)Time elapsed: 0.003 s
% 0.21/0.53 % (29382)Instructions burned: 2 (million)
% 0.21/0.53 % (29382)------------------------------
% 0.21/0.53 % (29382)------------------------------
% 0.21/0.53 % (29379)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 % (29374)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 % (29380)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)
% 0.21/0.53 % (29395)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)
% 0.21/0.53 % (29375)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)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 TRYING [1]
% 0.21/0.53 TRYING [2]
% 0.21/0.53 % (29402)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.53 TRYING [2]
% 0.21/0.54 TRYING [3]
% 0.21/0.54 % (29381)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54 TRYING [3]
% 0.21/0.54 % (29378)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 TRYING [3]
% 0.21/0.54 % (29399)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.54 % (29381)Instruction limit reached!
% 0.21/0.54 % (29381)------------------------------
% 0.21/0.54 % (29381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (29381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (29381)Termination reason: Unknown
% 0.21/0.54 % (29381)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (29381)Memory used [KB]: 5500
% 0.21/0.54 % (29381)Time elapsed: 0.090 s
% 0.21/0.54 % (29381)Instructions burned: 9 (million)
% 0.21/0.54 % (29381)------------------------------
% 0.21/0.54 % (29381)------------------------------
% 0.21/0.54 % (29383)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)
% 0.21/0.54 % (29401)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)
% 0.21/0.54 % (29396)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55 % (29384)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55 % (29393)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (29400)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.55 % (29394)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)
% 0.21/0.55 % (29387)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.55 % (29389)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)
% 0.21/0.55 % (29405)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)
% 0.21/0.55 % (29391)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (29397)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)
% 0.21/0.56 % (29386)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)
% 0.21/0.56 TRYING [4]
% 0.21/0.57 TRYING [4]
% 0.21/0.57 % (29404)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.58 % (29376)Instruction limit reached!
% 0.21/0.58 % (29376)------------------------------
% 0.21/0.58 % (29376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (29376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (29376)Termination reason: Unknown
% 0.21/0.58 % (29376)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (29376)Memory used [KB]: 1535
% 0.21/0.58 % (29376)Time elapsed: 0.180 s
% 0.21/0.58 % (29376)Instructions burned: 37 (million)
% 0.21/0.58 % (29376)------------------------------
% 0.21/0.58 % (29376)------------------------------
% 0.21/0.59 TRYING [4]
% 1.82/0.59 % (29380)Instruction limit reached!
% 1.82/0.59 % (29380)------------------------------
% 1.82/0.59 % (29380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.59 % (29380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.59 % (29380)Termination reason: Unknown
% 1.82/0.59 % (29380)Termination phase: Finite model building constraint generation
% 1.82/0.59
% 1.82/0.59 % (29380)Memory used [KB]: 8059
% 1.82/0.59 % (29380)Time elapsed: 0.188 s
% 1.82/0.59 % (29380)Instructions burned: 51 (million)
% 1.82/0.59 % (29380)------------------------------
% 1.82/0.59 % (29380)------------------------------
% 1.82/0.60 % (29379)Instruction limit reached!
% 1.82/0.60 % (29379)------------------------------
% 1.82/0.60 % (29379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.61 % (29378)Instruction limit reached!
% 1.82/0.61 % (29378)------------------------------
% 1.82/0.61 % (29378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.61 % (29392)Instruction limit reached!
% 1.82/0.61 % (29392)------------------------------
% 1.82/0.61 % (29392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.61 % (29392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.61 % (29392)Termination reason: Unknown
% 1.82/0.61 % (29392)Termination phase: Finite model building constraint generation
% 1.82/0.61
% 1.82/0.61 % (29392)Memory used [KB]: 8955
% 1.82/0.61 % (29392)Time elapsed: 0.181 s
% 1.82/0.61 % (29392)Instructions burned: 59 (million)
% 1.82/0.61 % (29392)------------------------------
% 1.82/0.61 % (29392)------------------------------
% 2.03/0.61 % (29379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.61 % (29379)Termination reason: Unknown
% 2.03/0.61 % (29379)Termination phase: Saturation
% 2.03/0.61
% 2.03/0.61 % (29379)Memory used [KB]: 6140
% 2.03/0.61 % (29379)Time elapsed: 0.174 s
% 2.03/0.61 % (29379)Instructions burned: 49 (million)
% 2.03/0.61 % (29379)------------------------------
% 2.03/0.61 % (29379)------------------------------
% 2.03/0.61 % (29394)First to succeed.
% 2.03/0.61 % (29384)Instruction limit reached!
% 2.03/0.61 % (29384)------------------------------
% 2.03/0.61 % (29384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.61 % (29394)Refutation found. Thanks to Tanya!
% 2.03/0.61 % SZS status Theorem for theBenchmark
% 2.03/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 2.03/0.61 % (29394)------------------------------
% 2.03/0.61 % (29394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.61 % (29394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.61 % (29394)Termination reason: Refutation
% 2.03/0.61
% 2.03/0.61 % (29394)Memory used [KB]: 1535
% 2.03/0.61 % (29394)Time elapsed: 0.192 s
% 2.03/0.61 % (29394)Instructions burned: 37 (million)
% 2.03/0.61 % (29394)------------------------------
% 2.03/0.61 % (29394)------------------------------
% 2.03/0.61 % (29370)Success in time 0.254 s
%------------------------------------------------------------------------------