TSTP Solution File: ALG040+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG040+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 : n002.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 1.35s 0.52s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 138 ( 44 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 156 ( 50 ~; 38 |; 37 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 71 ( 65 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f102,plain,
$false,
inference(subsumption_resolution,[],[f101,f42]) ).
fof(f42,plain,
h(sK0) != op2(sK1(h(sK0)),sK1(h(sK0))),
inference(resolution,[],[f31,f23]) ).
fof(f23,plain,
! [X0] :
( ~ sorti2(X0)
| op2(sK1(X0),sK1(X0)) != X0 ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ~ sorti2(X0)
| ( sorti2(sK1(X0))
& op2(sK1(X0),sK1(X0)) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f8,f16]) ).
fof(f16,plain,
! [X0] :
( ? [X1] :
( sorti2(X1)
& op2(X1,X1) != X0 )
=> ( sorti2(sK1(X0))
& op2(sK1(X0),sK1(X0)) != X0 ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X0] :
( ~ sorti2(X0)
| ? [X1] :
( sorti2(X1)
& op2(X1,X1) != X0 ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
~ ? [X0] :
( ! [X1] :
( sorti2(X1)
=> op2(X1,X1) = X0 )
& sorti2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f31,plain,
sorti2(h(sK0)),
inference(unit_resulting_resolution,[],[f21,f26]) ).
fof(f26,plain,
! [X5] :
( sorti2(h(X5))
| ~ sorti1(X5) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ! [X0] :
( ~ sorti2(X0)
| sorti1(j(X0)) )
& ! [X1] :
( j(h(X1)) = X1
| ~ sorti1(X1) )
& ! [X2] :
( h(j(X2)) = X2
| ~ sorti2(X2) )
& ! [X3] :
( ~ sorti2(X3)
| ! [X4] :
( j(op2(X3,X4)) = op1(j(X3),j(X4))
| ~ sorti2(X4) ) )
& ! [X5] :
( sorti2(h(X5))
| ~ sorti1(X5) )
& ! [X6] :
( ! [X7] :
( h(op1(X6,X7)) = op2(h(X6),h(X7))
| ~ sorti1(X7) )
| ~ sorti1(X6) ) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
( ! [X0] :
( ~ sorti2(X0)
| sorti1(j(X0)) )
& ! [X2] :
( j(h(X2)) = X2
| ~ sorti1(X2) )
& ! [X7] :
( h(j(X7)) = X7
| ~ sorti2(X7) )
& ! [X5] :
( ~ sorti2(X5)
| ! [X6] :
( op1(j(X5),j(X6)) = j(op2(X5,X6))
| ~ sorti2(X6) ) )
& ! [X1] :
( sorti2(h(X1))
| ~ sorti1(X1) )
& ! [X3] :
( ! [X4] :
( op2(h(X3),h(X4)) = h(op1(X3,X4))
| ~ sorti1(X4) )
| ~ sorti1(X3) ) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
( ! [X5] :
( ~ sorti2(X5)
| ! [X6] :
( op1(j(X5),j(X6)) = j(op2(X5,X6))
| ~ sorti2(X6) ) )
& ! [X7] :
( h(j(X7)) = X7
| ~ sorti2(X7) )
& ! [X2] :
( j(h(X2)) = X2
| ~ sorti1(X2) )
& ! [X3] :
( ! [X4] :
( op2(h(X3),h(X4)) = h(op1(X3,X4))
| ~ sorti1(X4) )
| ~ sorti1(X3) )
& ! [X1] :
( sorti2(h(X1))
| ~ sorti1(X1) )
& ! [X0] :
( ~ sorti2(X0)
| sorti1(j(X0)) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ( ( ! [X1] :
( sorti1(X1)
=> sorti2(h(X1)) )
& ! [X0] :
( sorti2(X0)
=> sorti1(j(X0)) ) )
=> ~ ( ! [X5] :
( sorti2(X5)
=> ! [X6] :
( sorti2(X6)
=> op1(j(X5),j(X6)) = j(op2(X5,X6)) ) )
& ! [X7] :
( sorti2(X7)
=> h(j(X7)) = X7 )
& ! [X2] :
( sorti1(X2)
=> j(h(X2)) = X2 )
& ! [X3] :
( sorti1(X3)
=> ! [X4] :
( sorti1(X4)
=> op2(h(X3),h(X4)) = h(op1(X3,X4)) ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( ( ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) )
& ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) ) )
=> ~ ( ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 ) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( ( ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) )
& ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) ) )
=> ~ ( ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f21,plain,
sorti1(sK0),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( sorti1(sK0)
& ! [X1] :
( op1(X1,X1) = sK0
| ~ sorti1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f14]) ).
fof(f14,plain,
( ? [X0] :
( sorti1(X0)
& ! [X1] :
( op1(X1,X1) = X0
| ~ sorti1(X1) ) )
=> ( sorti1(sK0)
& ! [X1] :
( op1(X1,X1) = sK0
| ~ sorti1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
? [X0] :
( sorti1(X0)
& ! [X1] :
( op1(X1,X1) = X0
| ~ sorti1(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
? [X0] :
( ! [X1] :
( sorti1(X1)
=> op1(X1,X1) = X0 )
& sorti1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f101,plain,
h(sK0) = op2(sK1(h(sK0)),sK1(h(sK0))),
inference(forward_demodulation,[],[f100,f56]) ).
fof(f56,plain,
sK1(h(sK0)) = h(j(sK1(h(sK0)))),
inference(resolution,[],[f40,f28]) ).
fof(f28,plain,
! [X2] :
( ~ sorti2(X2)
| h(j(X2)) = X2 ),
inference(cnf_transformation,[],[f18]) ).
fof(f40,plain,
sorti2(sK1(h(sK0))),
inference(unit_resulting_resolution,[],[f31,f24]) ).
fof(f24,plain,
! [X0] :
( sorti2(sK1(X0))
| ~ sorti2(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f100,plain,
h(sK0) = op2(h(j(sK1(h(sK0)))),h(j(sK1(h(sK0))))),
inference(forward_demodulation,[],[f91,f71]) ).
fof(f71,plain,
sK0 = op1(j(sK1(h(sK0))),j(sK1(h(sK0)))),
inference(resolution,[],[f49,f20]) ).
fof(f20,plain,
! [X1] :
( ~ sorti1(X1)
| op1(X1,X1) = sK0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f49,plain,
sorti1(j(sK1(h(sK0)))),
inference(unit_resulting_resolution,[],[f40,f30]) ).
fof(f30,plain,
! [X0] :
( ~ sorti2(X0)
| sorti1(j(X0)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f91,plain,
op2(h(j(sK1(h(sK0)))),h(j(sK1(h(sK0))))) = h(op1(j(sK1(h(sK0))),j(sK1(h(sK0))))),
inference(unit_resulting_resolution,[],[f49,f49,f25]) ).
fof(f25,plain,
! [X6,X7] :
( ~ sorti1(X7)
| ~ sorti1(X6)
| h(op1(X6,X7)) = op2(h(X6),h(X7)) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG040+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 : n002.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 15:03:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % (4676)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)
% 0.19/0.49 % (4693)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.49 % (4685)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (4679)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)
% 0.19/0.50 % (4668)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)
% 0.19/0.50 % (4666)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 % (4686)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)
% 0.19/0.51 % (4678)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)
% 0.19/0.51 % (4664)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.35/0.51 % (4678)Instruction limit reached!
% 1.35/0.51 % (4678)------------------------------
% 1.35/0.51 % (4678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.51 % (4678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.51 % (4678)Termination reason: Unknown
% 1.35/0.51 % (4678)Termination phase: Saturation
% 1.35/0.51
% 1.35/0.51 % (4678)Memory used [KB]: 5884
% 1.35/0.51 % (4678)Time elapsed: 0.081 s
% 1.35/0.51 % (4678)Instructions burned: 3 (million)
% 1.35/0.51 % (4678)------------------------------
% 1.35/0.51 % (4678)------------------------------
% 1.35/0.51 % (4670)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)
% 1.35/0.51 % (4680)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.35/0.52 % (4685)First to succeed.
% 1.35/0.52 % (4690)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.35/0.52 % (4671)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.35/0.52 % (4676)Instruction limit reached!
% 1.35/0.52 % (4676)------------------------------
% 1.35/0.52 % (4676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.52 % (4688)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.35/0.52 % (4687)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.35/0.52 % (4692)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.35/0.52 % (4685)Refutation found. Thanks to Tanya!
% 1.35/0.52 % SZS status Theorem for theBenchmark
% 1.35/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.52 % (4685)------------------------------
% 1.35/0.52 % (4685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.52 % (4685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.52 % (4685)Termination reason: Refutation
% 1.35/0.52
% 1.35/0.52 % (4685)Memory used [KB]: 6012
% 1.35/0.52 % (4685)Time elapsed: 0.118 s
% 1.35/0.52 % (4685)Instructions burned: 3 (million)
% 1.35/0.52 % (4685)------------------------------
% 1.35/0.52 % (4685)------------------------------
% 1.35/0.52 % (4663)Success in time 0.179 s
%------------------------------------------------------------------------------