TSTP Solution File: KLE054+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE054+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_sat --cores 0 -t %d %s
% Computer : n004.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 17:28:59 EDT 2022
% Result : Theorem 1.74s 0.64s
% Output : Refutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 27 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 43 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f384,plain,
$false,
inference(trivial_inequality_removal,[],[f383]) ).
fof(f383,plain,
domain(sK0) != domain(sK0),
inference(backward_demodulation,[],[f44,f382]) ).
fof(f382,plain,
! [X10,X11] : addition(domain(multiplication(X10,X11)),domain(X10)) = domain(X10),
inference(forward_demodulation,[],[f370,f42]) ).
fof(f42,plain,
! [X0,X1] : domain(multiplication(X1,domain(X0))) = domain(multiplication(X1,X0)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] : domain(multiplication(X1,domain(X0))) = domain(multiplication(X1,X0)),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X3] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f370,plain,
! [X10,X11] : addition(domain(multiplication(X10,domain(X11))),domain(X10)) = domain(X10),
inference(superposition,[],[f38,f256]) ).
fof(f256,plain,
! [X18,X19] : addition(multiplication(X19,domain(X18)),X19) = X19,
inference(forward_demodulation,[],[f213,f54]) ).
fof(f54,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(f213,plain,
! [X18,X19] : addition(multiplication(X19,domain(X18)),multiplication(X19,one)) = multiplication(X19,one),
inference(superposition,[],[f53,f40]) ).
fof(f40,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] : one = addition(domain(X0),one),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(domain(X3),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f53,plain,
! [X2,X0,X1] : addition(multiplication(X2,X1),multiplication(X2,X0)) = multiplication(X2,addition(X1,X0)),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] : addition(multiplication(X2,X1),multiplication(X2,X0)) = multiplication(X2,addition(X1,X0)),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X2,X0] : addition(multiplication(X0,X2),multiplication(X0,X1)) = multiplication(X0,addition(X2,X1)),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X2,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f38,plain,
! [X0,X1] : addition(domain(X1),domain(X0)) = domain(addition(X1,X0)),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] : addition(domain(X1),domain(X0)) = domain(addition(X1,X0)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X4,X3] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain5) ).
fof(f44,plain,
addition(domain(multiplication(sK0,sK1)),domain(sK0)) != domain(sK0),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
addition(domain(multiplication(sK0,sK1)),domain(sK0)) != domain(sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f30,f32]) ).
fof(f32,plain,
( ? [X0,X1] : addition(domain(multiplication(X0,X1)),domain(X0)) != domain(X0)
=> addition(domain(multiplication(sK0,sK1)),domain(sK0)) != domain(sK0) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0,X1] : addition(domain(multiplication(X0,X1)),domain(X0)) != domain(X0),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
~ ! [X0,X1] : addition(domain(multiplication(X0,X1)),domain(X0)) = domain(X0),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3,X4] : domain(X3) = addition(domain(multiplication(X3,X4)),domain(X3)),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3,X4] : domain(X3) = addition(domain(multiplication(X3,X4)),domain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE054+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 00:20:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.54 % (6109)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.54 % (6091)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)
% 1.50/0.54 TRYING [1]
% 1.50/0.54 % (6101)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)
% 1.50/0.54 % (6093)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.50/0.54 % (6107)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)
% 1.50/0.54 % (6093)Instruction limit reached!
% 1.50/0.54 % (6093)------------------------------
% 1.50/0.54 % (6093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.54 % (6093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.54 % (6093)Termination reason: Unknown
% 1.50/0.54 % (6093)Termination phase: Saturation
% 1.50/0.54
% 1.50/0.54 % (6093)Memory used [KB]: 5373
% 1.50/0.54 % (6093)Time elapsed: 0.005 s
% 1.50/0.54 % (6093)Instructions burned: 2 (million)
% 1.50/0.54 % (6093)------------------------------
% 1.50/0.54 % (6093)------------------------------
% 1.50/0.54 % (6099)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)
% 1.50/0.54 TRYING [2]
% 1.50/0.55 TRYING [3]
% 1.74/0.58 TRYING [4]
% 1.74/0.58 % (6088)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)
% 1.74/0.58 % (6089)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.74/0.59 % (6096)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)
% 1.74/0.59 % (6095)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.74/0.59 % (6097)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.74/0.59 % (6102)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.74/0.59 % (6090)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)
% 1.74/0.60 % (6110)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.74/0.60 % (6106)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.74/0.60 % (6104)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)
% 1.74/0.60 % (6094)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)
% 1.74/0.60 % (6112)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)
% 1.74/0.60 % (6113)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.74/0.60 % (6111)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)
% 1.74/0.60 % (6114)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)
% 1.74/0.61 % (6087)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)
% 1.74/0.61 % (6092)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.74/0.61 % (6098)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.74/0.61 % (6086)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)
% 1.74/0.61 % (6092)Instruction limit reached!
% 1.74/0.61 % (6092)------------------------------
% 1.74/0.61 % (6092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.61 % (6092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.61 % (6092)Termination reason: Unknown
% 1.74/0.61 % (6092)Termination phase: Saturation
% 1.74/0.61
% 1.74/0.61 % (6092)Memory used [KB]: 5500
% 1.74/0.61 % (6092)Time elapsed: 0.196 s
% 1.74/0.61 % (6092)Instructions burned: 7 (million)
% 1.74/0.61 % (6092)------------------------------
% 1.74/0.61 % (6092)------------------------------
% 1.74/0.61 TRYING [1]
% 1.74/0.61 TRYING [2]
% 1.74/0.61 % (6091)Instruction limit reached!
% 1.74/0.61 % (6091)------------------------------
% 1.74/0.61 % (6091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.62 TRYING [3]
% 1.74/0.62 % (6085)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)
% 1.74/0.62 % (6091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.62 % (6091)Termination reason: Unknown
% 1.74/0.62 % (6091)Termination phase: Finite model building constraint generation
% 1.74/0.62
% 1.74/0.62 % (6091)Memory used [KB]: 8315
% 1.74/0.62 % (6091)Time elapsed: 0.160 s
% 1.74/0.62 % (6091)Instructions burned: 51 (million)
% 1.74/0.62 % (6091)------------------------------
% 1.74/0.62 % (6091)------------------------------
% 1.74/0.62 % (6103)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.74/0.62 % (6105)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)
% 1.74/0.62 % (6100)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)
% 1.74/0.63 % (6108)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)
% 1.74/0.63 % (6114)First to succeed.
% 1.74/0.63 TRYING [1]
% 1.74/0.63 TRYING [2]
% 1.74/0.64 % (6114)Refutation found. Thanks to Tanya!
% 1.74/0.64 % SZS status Theorem for theBenchmark
% 1.74/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.74/0.64 % (6114)------------------------------
% 1.74/0.64 % (6114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.64 % (6114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.64 % (6114)Termination reason: Refutation
% 1.74/0.64
% 1.74/0.64 % (6114)Memory used [KB]: 5628
% 1.74/0.64 % (6114)Time elapsed: 0.209 s
% 1.74/0.64 % (6114)Instructions burned: 13 (million)
% 1.74/0.64 % (6114)------------------------------
% 1.74/0.64 % (6114)------------------------------
% 1.74/0.64 % (6084)Success in time 0.296 s
%------------------------------------------------------------------------------