TSTP Solution File: KLE089+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE089+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 : n019.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 17:29:05 EDT 2022
% Result : Theorem 1.51s 0.55s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 26 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 37 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f445,plain,
$false,
inference(subsumption_resolution,[],[f444,f65]) ).
fof(f65,plain,
zero != multiplication(antidomain(antidomain(sK0)),sK1),
inference(definition_unfolding,[],[f61,f51]) ).
fof(f51,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(f61,plain,
zero != multiplication(domain(sK0),sK1),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( addition(domain(sK0),antidomain(sK1)) = antidomain(sK1)
& zero != multiplication(domain(sK0),sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f35,f41]) ).
fof(f41,plain,
( ? [X0,X1] :
( addition(domain(X0),antidomain(X1)) = antidomain(X1)
& zero != multiplication(domain(X0),X1) )
=> ( addition(domain(sK0),antidomain(sK1)) = antidomain(sK1)
& zero != multiplication(domain(sK0),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0,X1] :
( addition(domain(X0),antidomain(X1)) = antidomain(X1)
& zero != multiplication(domain(X0),X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X1,X0] :
( addition(domain(X0),antidomain(X1)) = antidomain(X1)
=> zero = multiplication(domain(X0),X1) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X3,X4] :
( antidomain(X4) = addition(domain(X3),antidomain(X4))
=> zero = multiplication(domain(X3),X4) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X3,X4] :
( antidomain(X4) = addition(domain(X3),antidomain(X4))
=> zero = multiplication(domain(X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f444,plain,
zero = multiplication(antidomain(antidomain(sK0)),sK1),
inference(forward_demodulation,[],[f419,f63]) ).
fof(f63,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f419,plain,
multiplication(antidomain(antidomain(sK0)),sK1) = multiplication(antidomain(sK1),sK1),
inference(superposition,[],[f153,f78]) ).
fof(f78,plain,
addition(antidomain(sK1),antidomain(antidomain(sK0))) = antidomain(sK1),
inference(superposition,[],[f64,f56]) ).
fof(f56,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(f64,plain,
antidomain(sK1) = addition(antidomain(antidomain(sK0)),antidomain(sK1)),
inference(definition_unfolding,[],[f62,f51]) ).
fof(f62,plain,
addition(domain(sK0),antidomain(sK1)) = antidomain(sK1),
inference(cnf_transformation,[],[f42]) ).
fof(f153,plain,
! [X14,X15] : multiplication(X15,X14) = multiplication(addition(antidomain(X14),X15),X14),
inference(forward_demodulation,[],[f137,f75]) ).
fof(f75,plain,
! [X1] : addition(zero,X1) = X1,
inference(superposition,[],[f56,f59]) ).
fof(f59,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f137,plain,
! [X14,X15] : addition(zero,multiplication(X15,X14)) = multiplication(addition(antidomain(X14),X15),X14),
inference(superposition,[],[f50,f63]) ).
fof(f50,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X1,X0,X2] : multiplication(addition(X1,X0),X2) = addition(multiplication(X1,X2),multiplication(X0,X2)),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KLE089+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n019.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 : Tue Aug 30 00:28:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (6706)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (6722)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)
% 0.20/0.50 % (6715)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (6713)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (6724)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (6708)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)
% 0.20/0.51 % (6704)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)
% 0.20/0.52 % (6726)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)
% 0.20/0.52 % (6718)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)
% 0.20/0.53 % (6709)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (6731)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (6707)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)
% 0.20/0.53 % (6727)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.39/0.53 % (6702)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)
% 1.39/0.53 % (6712)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)
% 1.39/0.53 % (6705)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)
% 1.39/0.54 % (6723)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)
% 1.39/0.54 % (6732)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)
% 1.39/0.54 % (6703)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)
% 1.39/0.54 % (6714)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)
% 1.39/0.54 % (6719)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)
% 1.39/0.54 TRYING [1]
% 1.39/0.54 TRYING [2]
% 1.39/0.54 TRYING [1]
% 1.39/0.54 % (6725)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)
% 1.39/0.54 % (6709)Instruction limit reached!
% 1.39/0.54 % (6709)------------------------------
% 1.39/0.54 % (6709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54 % (6709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54 % (6709)Termination reason: Unknown
% 1.39/0.54 % (6709)Termination phase: Saturation
% 1.39/0.54
% 1.39/0.54 % (6709)Memory used [KB]: 5500
% 1.39/0.54 % (6709)Time elapsed: 0.088 s
% 1.39/0.54 % (6709)Instructions burned: 7 (million)
% 1.39/0.54 % (6709)------------------------------
% 1.39/0.54 % (6709)------------------------------
% 1.39/0.54 TRYING [3]
% 1.39/0.54 % (6716)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.39/0.54 % (6728)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.39/0.54 TRYING [2]
% 1.39/0.55 % (6704)First to succeed.
% 1.39/0.55 TRYING [3]
% 1.39/0.55 % (6729)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)
% 1.39/0.55 % (6730)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)
% 1.51/0.55 % (6722)Also succeeded, but the first one will report.
% 1.51/0.55 % (6704)Refutation found. Thanks to Tanya!
% 1.51/0.55 % SZS status Theorem for theBenchmark
% 1.51/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.55 % (6704)------------------------------
% 1.51/0.55 % (6704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 % (6704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55 % (6704)Termination reason: Refutation
% 1.51/0.55
% 1.51/0.55 % (6704)Memory used [KB]: 1407
% 1.51/0.55 % (6704)Time elapsed: 0.146 s
% 1.51/0.55 % (6704)Instructions burned: 21 (million)
% 1.51/0.55 % (6704)------------------------------
% 1.51/0.55 % (6704)------------------------------
% 1.51/0.55 % (6698)Success in time 0.196 s
%------------------------------------------------------------------------------