TSTP Solution File: KLE085+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KLE085+1 : 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_uns --cores 0 -t %d %s
% Computer : n023.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 17:28:03 EDT 2022
% Result : Theorem 1.47s 0.55s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 28 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 13 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 34 ( 32 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71,plain,
$false,
inference(trivial_inequality_removal,[],[f68]) ).
fof(f68,plain,
addition(antidomain(sK0),antidomain(antidomain(sK0))) != addition(antidomain(sK0),antidomain(antidomain(sK0))),
inference(superposition,[],[f64,f49]) ).
fof(f49,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(f64,plain,
! [X0] : addition(antidomain(X0),antidomain(antidomain(X0))) != addition(antidomain(X0),addition(antidomain(antidomain(X0)),antidomain(antidomain(sK0)))),
inference(superposition,[],[f61,f47]) ).
fof(f47,plain,
! [X2,X0,X1] : addition(X1,addition(X0,X2)) = addition(addition(X1,X0),X2),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] : addition(X1,addition(X0,X2)) = addition(addition(X1,X0),X2),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X2,X0,X1] : addition(X0,addition(X2,X1)) = addition(addition(X0,X2),X1),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f61,plain,
! [X0] : addition(antidomain(X0),antidomain(antidomain(X0))) != addition(addition(antidomain(X0),antidomain(antidomain(X0))),antidomain(antidomain(sK0))),
inference(forward_demodulation,[],[f60,f46]) ).
fof(f46,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,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(f60,plain,
! [X0] : addition(addition(antidomain(antidomain(X0)),antidomain(X0)),antidomain(antidomain(sK0))) != addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(superposition,[],[f57,f40]) ).
fof(f40,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f57,plain,
one != addition(one,antidomain(antidomain(sK0))),
inference(superposition,[],[f55,f46]) ).
fof(f55,plain,
one != addition(antidomain(antidomain(sK0)),one),
inference(definition_unfolding,[],[f53,f39]) ).
fof(f39,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).
fof(f53,plain,
one != addition(domain(sK0),one),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
one != addition(domain(sK0),one),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f31,f37]) ).
fof(f37,plain,
( ? [X0] : one != addition(domain(X0),one)
=> one != addition(domain(sK0),one) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0] : one != addition(domain(X0),one),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0] : one = addition(domain(X0),one),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X3] : one = addition(domain(X3),one),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X3] : one = addition(domain(X3),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KLE085+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 00:46:35 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.51 % (31058)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.52 % (31070)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.52 % (31058)Refutation not found, incomplete strategy% (31058)------------------------------
% 0.22/0.52 % (31058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.52 % (31056)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.22/0.52 % (31083)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.22/0.52 % (31075)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.22/0.52 % (31059)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.52 % (31078)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.22/0.52 % (31059)Refutation not found, incomplete strategy% (31059)------------------------------
% 0.22/0.52 % (31059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.52 % (31059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.52 % (31059)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.52
% 0.22/0.52 % (31059)Memory used [KB]: 5884
% 0.22/0.52 % (31059)Time elapsed: 0.118 s
% 0.22/0.52 % (31059)Instructions burned: 1 (million)
% 0.22/0.52 % (31059)------------------------------
% 0.22/0.52 % (31059)------------------------------
% 0.22/0.53 % (31075)Refutation not found, incomplete strategy% (31075)------------------------------
% 0.22/0.53 % (31075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (31075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (31075)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.53
% 0.22/0.53 % (31075)Memory used [KB]: 5884
% 0.22/0.53 % (31075)Time elapsed: 0.123 s
% 0.22/0.53 % (31075)Instructions burned: 1 (million)
% 0.22/0.53 % (31066)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.22/0.53 % (31075)------------------------------
% 0.22/0.53 % (31075)------------------------------
% 0.22/0.53 % (31073)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.53 % (31063)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.22/0.53 % (31063)Refutation not found, incomplete strategy% (31063)------------------------------
% 0.22/0.53 % (31063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (31063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (31063)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.53
% 0.22/0.53 % (31063)Memory used [KB]: 5884
% 0.22/0.53 % (31063)Time elapsed: 0.125 s
% 0.22/0.53 % (31063)Instructions burned: 2 (million)
% 0.22/0.53 % (31063)------------------------------
% 0.22/0.53 % (31063)------------------------------
% 0.22/0.54 % (31065)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.22/0.54 % (31058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (31058)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.54
% 0.22/0.54 % (31058)Memory used [KB]: 5884
% 0.22/0.54 % (31058)Time elapsed: 0.100 s
% 0.22/0.54 % (31058)Instructions burned: 2 (million)
% 0.22/0.54 % (31058)------------------------------
% 0.22/0.54 % (31058)------------------------------
% 0.22/0.54 % (31061)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.54 % (31065)Refutation not found, incomplete strategy% (31065)------------------------------
% 0.22/0.54 % (31065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (31065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (31065)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.54
% 0.22/0.54 % (31065)Memory used [KB]: 5884
% 0.22/0.54 % (31065)Time elapsed: 0.092 s
% 0.22/0.54 % (31065)Instructions burned: 2 (million)
% 0.22/0.54 % (31065)------------------------------
% 0.22/0.54 % (31065)------------------------------
% 0.22/0.54 % (31061)First to succeed.
% 0.22/0.54 % (31070)Instruction limit reached!
% 0.22/0.54 % (31070)------------------------------
% 0.22/0.54 % (31070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (31070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (31070)Termination reason: Unknown
% 0.22/0.54 % (31070)Termination phase: Saturation
% 0.22/0.54
% 0.22/0.54 % (31070)Memory used [KB]: 5884
% 0.22/0.54 % (31070)Time elapsed: 0.124 s
% 0.22/0.54 % (31070)Instructions burned: 3 (million)
% 0.22/0.54 % (31070)------------------------------
% 0.22/0.54 % (31070)------------------------------
% 0.22/0.54 % (31073)Instruction limit reached!
% 0.22/0.54 % (31073)------------------------------
% 0.22/0.54 % (31073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (31073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (31073)Termination reason: Unknown
% 0.22/0.54 % (31073)Termination phase: Finite model building preprocessing
% 0.22/0.54
% 0.22/0.54 % (31073)Memory used [KB]: 1407
% 0.22/0.54 % (31073)Time elapsed: 0.004 s
% 0.22/0.54 % (31073)Instructions burned: 3 (million)
% 0.22/0.54 % (31073)------------------------------
% 0.22/0.54 % (31073)------------------------------
% 0.22/0.54 % (31071)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.54 % (31066)Refutation not found, incomplete strategy% (31066)------------------------------
% 0.22/0.54 % (31066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (31066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (31066)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.54
% 0.22/0.54 % (31066)Memory used [KB]: 5884
% 0.22/0.54 % (31066)Time elapsed: 0.125 s
% 0.22/0.54 % (31066)Instructions burned: 2 (million)
% 0.22/0.54 % (31066)------------------------------
% 0.22/0.54 % (31066)------------------------------
% 0.22/0.54 % (31080)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.54 % (31081)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.22/0.54 % (31085)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.47/0.54 % (31062)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.47/0.54 % (31060)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.47/0.55 % (31083)Also succeeded, but the first one will report.
% 1.47/0.55 % (31064)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.47/0.55 % (31061)Refutation found. Thanks to Tanya!
% 1.47/0.55 % SZS status Theorem for theBenchmark
% 1.47/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.55 % (31061)------------------------------
% 1.47/0.55 % (31061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (31061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (31061)Termination reason: Refutation
% 1.47/0.55
% 1.47/0.55 % (31061)Memory used [KB]: 1407
% 1.47/0.55 % (31061)Time elapsed: 0.126 s
% 1.47/0.55 % (31061)Instructions burned: 2 (million)
% 1.47/0.55 % (31061)------------------------------
% 1.47/0.55 % (31061)------------------------------
% 1.47/0.55 % (31053)Success in time 0.181 s
%------------------------------------------------------------------------------