TSTP Solution File: KLE055+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE055+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 : n012.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 17:29:00 EDT 2022
% Result : Theorem 1.69s 0.60s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 32 unt; 0 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 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 : 52 ( 50 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f356,plain,
$false,
inference(trivial_inequality_removal,[],[f355]) ).
fof(f355,plain,
domain(sK0) != domain(sK0),
inference(backward_demodulation,[],[f49,f343]) ).
fof(f343,plain,
domain(sK0) = addition(sK0,domain(sK0)),
inference(superposition,[],[f235,f283]) ).
fof(f283,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(backward_demodulation,[],[f47,f282]) ).
fof(f282,plain,
! [X19,X20] : addition(X20,multiplication(domain(X19),X20)) = X20,
inference(forward_demodulation,[],[f245,f52]) ).
fof(f52,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f245,plain,
! [X19,X20] : addition(multiplication(one,X20),multiplication(domain(X19),X20)) = multiplication(one,X20),
inference(superposition,[],[f48,f67]) ).
fof(f67,plain,
! [X2] : one = addition(one,domain(X2)),
inference(superposition,[],[f53,f41]) ).
fof(f41,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f53,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/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f48,plain,
! [X2,X0,X1] : multiplication(addition(X2,X0),X1) = addition(multiplication(X2,X1),multiplication(X0,X1)),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] : multiplication(addition(X2,X0),X1) = addition(multiplication(X2,X1),multiplication(X0,X1)),
inference(rectify,[],[f27]) ).
fof(f27,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(f47,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f235,plain,
! [X23] : addition(multiplication(X23,sK0),X23) = X23,
inference(forward_demodulation,[],[f195,f43]) ).
fof(f43,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f195,plain,
! [X23] : addition(multiplication(X23,sK0),multiplication(X23,one)) = multiplication(X23,one),
inference(superposition,[],[f40,f50]) ).
fof(f50,plain,
one = addition(sK0,one),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( one = addition(sK0,one)
& domain(sK0) != addition(sK0,domain(sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f28,f34]) ).
fof(f34,plain,
( ? [X0] :
( one = addition(X0,one)
& addition(X0,domain(X0)) != domain(X0) )
=> ( one = addition(sK0,one)
& domain(sK0) != addition(sK0,domain(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0] :
( one = addition(X0,one)
& addition(X0,domain(X0)) != domain(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0] :
( one = addition(X0,one)
=> addition(X0,domain(X0)) = domain(X0) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3] :
( one = addition(X3,one)
=> domain(X3) = addition(X3,domain(X3)) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3] :
( one = addition(X3,one)
=> domain(X3) = addition(X3,domain(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f40,plain,
! [X2,X0,X1] : addition(multiplication(X2,X0),multiplication(X2,X1)) = multiplication(X2,addition(X0,X1)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] : addition(multiplication(X2,X0),multiplication(X2,X1)) = multiplication(X2,addition(X0,X1)),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X2,X0] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f49,plain,
domain(sK0) != addition(sK0,domain(sK0)),
inference(cnf_transformation,[],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : KLE055+1 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:23:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (13771)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (13760)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)
% 0.19/0.52 % (13769)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (13770)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)
% 0.19/0.52 % (13781)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)
% 0.19/0.52 % (13769)Instruction limit reached!
% 0.19/0.52 % (13769)------------------------------
% 0.19/0.52 % (13769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (13769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (13769)Termination reason: Unknown
% 0.19/0.52 % (13769)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (13769)Memory used [KB]: 5373
% 0.19/0.52 % (13769)Time elapsed: 0.003 s
% 0.19/0.52 % (13769)Instructions burned: 2 (million)
% 0.19/0.52 % (13769)------------------------------
% 0.19/0.52 % (13769)------------------------------
% 0.19/0.53 % (13768)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (13776)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)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 % (13783)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)
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (13764)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (13763)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)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (13772)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)
% 0.19/0.53 % (13780)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)
% 0.19/0.53 % (13761)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)
% 0.19/0.53 % (13765)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)
% 0.19/0.54 % (13787)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)
% 0.19/0.54 % (13773)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54 % (13789)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (13762)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)
% 0.19/0.54 % (13774)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (13784)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)
% 0.19/0.55 % (13788)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)
% 0.19/0.55 % (13785)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55 % (13778)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.55 % (13768)Instruction limit reached!
% 0.19/0.55 % (13768)------------------------------
% 0.19/0.55 % (13768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (13768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (13768)Termination reason: Unknown
% 0.19/0.55 % (13768)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (13768)Memory used [KB]: 5500
% 0.19/0.55 % (13768)Time elapsed: 0.155 s
% 0.19/0.55 % (13768)Instructions burned: 9 (million)
% 0.19/0.55 % (13768)------------------------------
% 0.19/0.55 % (13768)------------------------------
% 1.55/0.55 % (13775)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)
% 1.55/0.55 % (13779)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.55/0.55 TRYING [1]
% 1.55/0.56 TRYING [2]
% 1.55/0.56 % (13786)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.55/0.56 TRYING [4]
% 1.55/0.56 % (13766)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)
% 1.55/0.56 TRYING [1]
% 1.55/0.56 TRYING [2]
% 1.55/0.56 TRYING [3]
% 1.55/0.56 TRYING [3]
% 1.55/0.57 % (13777)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)
% 1.69/0.57 % (13790)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)
% 1.69/0.57 % (13782)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.69/0.59 TRYING [4]
% 1.69/0.59 TRYING [4]
% 1.69/0.60 % (13790)First to succeed.
% 1.69/0.60 % (13790)Refutation found. Thanks to Tanya!
% 1.69/0.60 % SZS status Theorem for theBenchmark
% 1.69/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.60 % (13790)------------------------------
% 1.69/0.60 % (13790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.60 % (13790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.60 % (13790)Termination reason: Refutation
% 1.69/0.60
% 1.69/0.60 % (13790)Memory used [KB]: 5628
% 1.69/0.60 % (13790)Time elapsed: 0.151 s
% 1.69/0.60 % (13790)Instructions burned: 13 (million)
% 1.69/0.60 % (13790)------------------------------
% 1.69/0.60 % (13790)------------------------------
% 1.69/0.60 % (13759)Success in time 0.242 s
%------------------------------------------------------------------------------