TSTP Solution File: ALG041+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG041+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n006.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 15:39:08 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 14 unt; 0 def)
% Number of atoms : 147 ( 49 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 164 ( 54 ~; 40 |; 38 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 75 ( 68 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f135,plain,
$false,
inference(subsumption_resolution,[],[f134,f38]) ).
fof(f38,plain,
j(sK0) != op1(sK1(j(sK0)),sK1(j(sK0))),
inference(unit_resulting_resolution,[],[f32,f30]) ).
fof(f30,plain,
! [X0] :
( op1(sK1(X0),sK1(X0)) != X0
| ~ sorti1(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ( sorti1(sK1(X0))
& op1(sK1(X0),sK1(X0)) != X0 )
| ~ sorti1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f12,f18]) ).
fof(f18,plain,
! [X0] :
( ? [X1] :
( sorti1(X1)
& op1(X1,X1) != X0 )
=> ( sorti1(sK1(X0))
& op1(sK1(X0),sK1(X0)) != X0 ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X0] :
( ? [X1] :
( sorti1(X1)
& op1(X1,X1) != X0 )
| ~ sorti1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
~ ? [X0] :
( ! [X1] :
( sorti1(X1)
=> op1(X1,X1) = X0 )
& sorti1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f32,plain,
sorti1(j(sK0)),
inference(unit_resulting_resolution,[],[f21,f23]) ).
fof(f23,plain,
! [X6] :
( sorti1(j(X6))
| ~ sorti2(X6) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ! [X0] :
( ~ sorti1(X0)
| j(h(X0)) = X0 )
& ! [X1] :
( ! [X2] :
( ~ sorti1(X2)
| op2(h(X1),h(X2)) = h(op1(X1,X2)) )
| ~ sorti1(X1) )
& ! [X3] :
( ~ sorti2(X3)
| ! [X4] :
( ~ sorti2(X4)
| op1(j(X3),j(X4)) = j(op2(X3,X4)) ) )
& ! [X5] :
( ~ sorti2(X5)
| h(j(X5)) = X5 )
& ! [X6] :
( ~ sorti2(X6)
| sorti1(j(X6)) )
& ! [X7] :
( ~ sorti1(X7)
| sorti2(h(X7)) ) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
( ! [X7] :
( ~ sorti1(X7)
| j(h(X7)) = X7 )
& ! [X5] :
( ! [X6] :
( ~ sorti1(X6)
| op2(h(X5),h(X6)) = h(op1(X5,X6)) )
| ~ sorti1(X5) )
& ! [X3] :
( ~ sorti2(X3)
| ! [X4] :
( ~ sorti2(X4)
| op1(j(X3),j(X4)) = j(op2(X3,X4)) ) )
& ! [X2] :
( ~ sorti2(X2)
| h(j(X2)) = X2 )
& ! [X1] :
( ~ sorti2(X1)
| sorti1(j(X1)) )
& ! [X0] :
( ~ sorti1(X0)
| sorti2(h(X0)) ) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
( ! [X7] :
( ~ sorti1(X7)
| j(h(X7)) = X7 )
& ! [X3] :
( ~ sorti2(X3)
| ! [X4] :
( ~ sorti2(X4)
| op1(j(X3),j(X4)) = j(op2(X3,X4)) ) )
& ! [X5] :
( ! [X6] :
( ~ sorti1(X6)
| op2(h(X5),h(X6)) = h(op1(X5,X6)) )
| ~ sorti1(X5) )
& ! [X2] :
( ~ sorti2(X2)
| h(j(X2)) = X2 )
& ! [X0] :
( ~ sorti1(X0)
| sorti2(h(X0)) )
& ! [X1] :
( ~ sorti2(X1)
| sorti1(j(X1)) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ( ( ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) )
& ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) ) )
=> ~ ( ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 )
& ! [X3] :
( sorti2(X3)
=> ! [X4] :
( sorti2(X4)
=> op1(j(X3),j(X4)) = j(op2(X3,X4)) ) )
& ! [X5] :
( sorti1(X5)
=> ! [X6] :
( sorti1(X6)
=> op2(h(X5),h(X6)) = h(op1(X5,X6)) ) )
& ! [X2] :
( sorti2(X2)
=> h(j(X2)) = X2 ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( ( ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) )
& ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) ) )
=> ~ ( ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) )
& ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 ) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( ( ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) )
& ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) ) )
=> ~ ( ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) )
& ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f21,plain,
sorti2(sK0),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( sorti2(sK0)
& ! [X1] :
( op2(X1,X1) = sK0
| ~ sorti2(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f13,f15]) ).
fof(f15,plain,
( ? [X0] :
( sorti2(X0)
& ! [X1] :
( op2(X1,X1) = X0
| ~ sorti2(X1) ) )
=> ( sorti2(sK0)
& ! [X1] :
( op2(X1,X1) = sK0
| ~ sorti2(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0] :
( sorti2(X0)
& ! [X1] :
( op2(X1,X1) = X0
| ~ sorti2(X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( sorti2(X1)
=> op2(X1,X1) = X0 )
& sorti2(X0) ),
inference(flattening,[],[f4]) ).
fof(f4,axiom,
~ ~ ? [X0] :
( ! [X1] :
( sorti2(X1)
=> op2(X1,X1) = X0 )
& sorti2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f134,plain,
j(sK0) = op1(sK1(j(sK0)),sK1(j(sK0))),
inference(backward_demodulation,[],[f127,f132]) ).
fof(f132,plain,
sK0 = h(op1(sK1(j(sK0)),sK1(j(sK0)))),
inference(backward_demodulation,[],[f54,f109]) ).
fof(f109,plain,
sK0 = op2(h(sK1(j(sK0))),h(sK1(j(sK0)))),
inference(unit_resulting_resolution,[],[f40,f20]) ).
fof(f20,plain,
! [X1] :
( ~ sorti2(X1)
| op2(X1,X1) = sK0 ),
inference(cnf_transformation,[],[f16]) ).
fof(f40,plain,
sorti2(h(sK1(j(sK0)))),
inference(unit_resulting_resolution,[],[f35,f22]) ).
fof(f22,plain,
! [X7] :
( sorti2(h(X7))
| ~ sorti1(X7) ),
inference(cnf_transformation,[],[f17]) ).
fof(f35,plain,
sorti1(sK1(j(sK0))),
inference(unit_resulting_resolution,[],[f32,f31]) ).
fof(f31,plain,
! [X0] :
( sorti1(sK1(X0))
| ~ sorti1(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f54,plain,
h(op1(sK1(j(sK0)),sK1(j(sK0)))) = op2(h(sK1(j(sK0))),h(sK1(j(sK0)))),
inference(unit_resulting_resolution,[],[f35,f35,f26]) ).
fof(f26,plain,
! [X2,X1] :
( ~ sorti1(X2)
| op2(h(X1),h(X2)) = h(op1(X1,X2))
| ~ sorti1(X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f127,plain,
j(h(op1(sK1(j(sK0)),sK1(j(sK0))))) = op1(sK1(j(sK0)),sK1(j(sK0))),
inference(forward_demodulation,[],[f126,f54]) ).
fof(f126,plain,
j(op2(h(sK1(j(sK0))),h(sK1(j(sK0))))) = op1(sK1(j(sK0)),sK1(j(sK0))),
inference(forward_demodulation,[],[f114,f48]) ).
fof(f48,plain,
j(h(sK1(j(sK0)))) = sK1(j(sK0)),
inference(unit_resulting_resolution,[],[f35,f27]) ).
fof(f27,plain,
! [X0] :
( ~ sorti1(X0)
| j(h(X0)) = X0 ),
inference(cnf_transformation,[],[f17]) ).
fof(f114,plain,
j(op2(h(sK1(j(sK0))),h(sK1(j(sK0))))) = op1(j(h(sK1(j(sK0)))),j(h(sK1(j(sK0))))),
inference(unit_resulting_resolution,[],[f40,f40,f25]) ).
fof(f25,plain,
! [X3,X4] :
( ~ sorti2(X4)
| op1(j(X3),j(X4)) = j(op2(X3,X4))
| ~ sorti2(X3) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG041+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 14:50:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % (6188)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)
% 0.19/0.49 % (6191)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)
% 0.19/0.49 % (6204)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)
% 0.19/0.49 % (6186)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)
% 0.19/0.49 % (6190)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)
% 0.19/0.49 % (6192)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)
% 0.19/0.49 % (6183)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50 % (6196)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)
% 0.19/0.50 % (6194)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50 % (6196)Instruction limit reached!
% 0.19/0.50 % (6196)------------------------------
% 0.19/0.50 % (6196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (6185)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)
% 0.19/0.50 % (6192)Instruction limit reached!
% 0.19/0.50 % (6192)------------------------------
% 0.19/0.50 % (6192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (6182)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (6184)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)
% 0.19/0.50 % (6187)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)
% 0.19/0.51 % (6184)Instruction limit reached!
% 0.19/0.51 % (6184)------------------------------
% 0.19/0.51 % (6184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (6186)Instruction limit reached!
% 0.19/0.51 % (6186)------------------------------
% 0.19/0.51 % (6186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (6186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (6186)Termination reason: Unknown
% 0.19/0.51 % (6186)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (6186)Memory used [KB]: 6140
% 0.19/0.51 % (6186)Time elapsed: 0.122 s
% 0.19/0.51 % (6186)Instructions burned: 15 (million)
% 0.19/0.51 % (6186)------------------------------
% 0.19/0.51 % (6186)------------------------------
% 0.19/0.51 % (6207)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)
% 0.19/0.51 % (6184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (6184)Termination reason: Unknown
% 0.19/0.51 % (6184)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (6184)Memory used [KB]: 5884
% 0.19/0.51 % (6184)Time elapsed: 0.119 s
% 0.19/0.51 % (6184)Instructions burned: 3 (million)
% 0.19/0.51 % (6184)------------------------------
% 0.19/0.51 % (6184)------------------------------
% 0.19/0.51 % (6191)First to succeed.
% 0.19/0.51 % (6192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (6192)Termination reason: Unknown
% 0.19/0.51 % (6192)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (6192)Memory used [KB]: 6140
% 0.19/0.51 % (6192)Time elapsed: 0.121 s
% 0.19/0.51 % (6192)Instructions burned: 12 (million)
% 0.19/0.51 % (6192)------------------------------
% 0.19/0.51 % (6192)------------------------------
% 0.19/0.51 % (6197)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)
% 0.19/0.51 % (6191)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (6191)------------------------------
% 0.19/0.51 % (6191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (6191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (6191)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (6191)Memory used [KB]: 6012
% 0.19/0.51 % (6191)Time elapsed: 0.126 s
% 0.19/0.51 % (6191)Instructions burned: 4 (million)
% 0.19/0.51 % (6191)------------------------------
% 0.19/0.51 % (6191)------------------------------
% 0.19/0.51 % (6181)Success in time 0.171 s
%------------------------------------------------------------------------------