TSTP Solution File: KLE002+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE002+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 : n024.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 17:28:42 EDT 2022
% Result : Theorem 1.66s 0.55s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 38 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 15 ~; 5 |; 6 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 32 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f170,plain,
$false,
inference(trivial_inequality_removal,[],[f169]) ).
fof(f169,plain,
multiplication(sK1,sK2) != multiplication(sK1,sK2),
inference(forward_demodulation,[],[f157,f48]) ).
fof(f48,plain,
sK1 = addition(sK0,sK1),
inference(resolution,[],[f44,f34]) ).
fof(f34,plain,
leq(sK0,sK1),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
( ~ leq(multiplication(sK0,sK2),multiplication(sK1,sK2))
& leq(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f24,f25]) ).
fof(f25,plain,
( ? [X0,X1,X2] :
( ~ leq(multiplication(X0,X2),multiplication(X1,X2))
& leq(X0,X1) )
=> ( ~ leq(multiplication(sK0,sK2),multiplication(sK1,sK2))
& leq(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0,X1,X2] :
( ~ leq(multiplication(X0,X2),multiplication(X1,X2))
& leq(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
? [X2,X0,X1] :
( ~ leq(multiplication(X2,X1),multiplication(X0,X1))
& leq(X2,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
~ ! [X2,X1,X0] :
( leq(X2,X0)
=> leq(multiplication(X2,X1),multiplication(X0,X1)) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X4,X5,X3] :
( leq(X3,X4)
=> leq(multiplication(X3,X5),multiplication(X4,X5)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X4,X5,X3] :
( leq(X3,X4)
=> leq(multiplication(X3,X5),multiplication(X4,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f44,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( addition(X0,X1) = X1
| ~ leq(X0,X1) )
& ( leq(X0,X1)
| addition(X0,X1) != X1 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( addition(X0,X1) = X1
<=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f157,plain,
multiplication(sK1,sK2) != multiplication(addition(sK0,sK1),sK2),
inference(resolution,[],[f79,f35]) ).
fof(f35,plain,
~ leq(multiplication(sK0,sK2),multiplication(sK1,sK2)),
inference(cnf_transformation,[],[f26]) ).
fof(f79,plain,
! [X2,X0,X1] :
( leq(multiplication(X0,X1),multiplication(X2,X1))
| multiplication(X2,X1) != multiplication(addition(X0,X2),X1) ),
inference(superposition,[],[f43,f32]) ).
fof(f32,plain,
! [X2,X0,X1] : multiplication(addition(X2,X0),X1) = addition(multiplication(X2,X1),multiplication(X0,X1)),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] : multiplication(addition(X2,X0),X1) = addition(multiplication(X2,X1),multiplication(X0,X1)),
inference(rectify,[],[f16]) ).
fof(f16,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/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f43,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : KLE002+1 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32 % Computer : n024.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 00:23:34 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.46 % (20806)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)
% 0.16/0.46 % (20808)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.47 % (20824)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.47 TRYING [1]
% 0.16/0.47 TRYING [2]
% 0.16/0.48 TRYING [3]
% 0.16/0.48 % (20822)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)
% 0.16/0.48 % (20808)Instruction limit reached!
% 0.16/0.48 % (20808)------------------------------
% 0.16/0.48 % (20808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (20808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (20808)Termination reason: Unknown
% 0.16/0.48 % (20808)Termination phase: Saturation
% 0.16/0.48
% 0.16/0.48 % (20808)Memory used [KB]: 5373
% 0.16/0.48 % (20808)Time elapsed: 0.004 s
% 0.16/0.48 % (20808)Instructions burned: 2 (million)
% 0.16/0.48 % (20808)------------------------------
% 0.16/0.48 % (20808)------------------------------
% 0.16/0.48 % (20814)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)
% 0.16/0.48 % (20816)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)
% 0.16/0.50 TRYING [4]
% 0.16/0.51 % (20807)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.51 % (20811)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)
% 0.16/0.51 % (20810)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.52 % (20803)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.52 % (20817)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.52 % (20805)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)
% 0.16/0.53 % (20802)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)
% 0.16/0.53 % (20801)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)
% 0.16/0.53 % (20807)Instruction limit reached!
% 0.16/0.53 % (20807)------------------------------
% 0.16/0.53 % (20807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53 % (20807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53 % (20807)Termination reason: Unknown
% 0.16/0.53 % (20807)Termination phase: Saturation
% 0.16/0.53
% 0.16/0.53 % (20807)Memory used [KB]: 5500
% 0.16/0.53 % (20807)Time elapsed: 0.155 s
% 0.16/0.53 % (20807)Instructions burned: 7 (million)
% 0.16/0.53 % (20807)------------------------------
% 0.16/0.53 % (20807)------------------------------
% 0.16/0.53 % (20801)First to succeed.
% 0.16/0.53 % (20823)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)
% 0.16/0.53 % (20828)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.53 % (20825)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.66/0.54 % (20806)Instruction limit reached!
% 1.66/0.54 % (20806)------------------------------
% 1.66/0.54 % (20806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.54 % (20806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.54 % (20806)Termination reason: Unknown
% 1.66/0.54 % (20806)Termination phase: Finite model building SAT solving
% 1.66/0.54
% 1.66/0.54 % (20806)Memory used [KB]: 8315
% 1.66/0.54 % (20806)Time elapsed: 0.125 s
% 1.66/0.54 % (20806)Instructions burned: 51 (million)
% 1.66/0.54 % (20806)------------------------------
% 1.66/0.54 % (20806)------------------------------
% 1.66/0.54 % (20812)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.66/0.54 % (20827)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)
% 1.66/0.54 % (20815)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)
% 1.66/0.54 % (20826)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)
% 1.66/0.55 % (20809)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)
% 1.66/0.55 % (20821)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.66/0.55 % (20824)Also succeeded, but the first one will report.
% 1.66/0.55 % (20799)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)
% 1.66/0.55 TRYING [1]
% 1.66/0.55 % (20819)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)
% 1.66/0.55 TRYING [1]
% 1.66/0.55 % (20818)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.66/0.55 TRYING [2]
% 1.66/0.55 TRYING [3]
% 1.66/0.55 % (20820)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)
% 1.66/0.55 % (20801)Refutation found. Thanks to Tanya!
% 1.66/0.55 % SZS status Theorem for theBenchmark
% 1.66/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.66/0.55 % (20801)------------------------------
% 1.66/0.55 % (20801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.55 % (20801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.55 % (20801)Termination reason: Refutation
% 1.66/0.55
% 1.66/0.55 % (20801)Memory used [KB]: 1023
% 1.66/0.55 % (20801)Time elapsed: 0.154 s
% 1.66/0.55 % (20801)Instructions burned: 6 (million)
% 1.66/0.55 % (20801)------------------------------
% 1.66/0.55 % (20801)------------------------------
% 1.66/0.55 % (20798)Success in time 0.23 s
%------------------------------------------------------------------------------