TSTP Solution File: ALG201+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG201+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 : n023.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 15:40:36 EDT 2022
% Result : Theorem 0.16s 0.49s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 7 unt; 0 def)
% Number of atoms : 116 ( 38 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 135 ( 43 ~; 31 |; 31 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 58 ( 56 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f76,plain,
$false,
inference(subsumption_resolution,[],[f75,f28]) ).
fof(f28,plain,
sorti1(j(sK0)),
inference(resolution,[],[f17,f24]) ).
fof(f24,plain,
sorti2(sK0),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( sorti2(sK0)
& op2(sK0,sK0) = sK0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f13,f15]) ).
fof(f15,plain,
( ? [X0] :
( sorti2(X0)
& op2(X0,X0) = X0 )
=> ( sorti2(sK0)
& op2(sK0,sK0) = sK0 ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0] :
( sorti2(X0)
& op2(X0,X0) = X0 ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
~ ! [X0] :
( sorti2(X0)
=> op2(X0,X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f17,plain,
! [X7] :
( ~ sorti2(X7)
| sorti1(j(X7)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ! [X0] :
( ! [X1] :
( h(op1(X0,X1)) = op2(h(X0),h(X1))
| ~ sorti1(X1) )
| ~ sorti1(X0) )
& ! [X2] :
( ~ sorti2(X2)
| h(j(X2)) = X2 )
& ! [X3] :
( sorti2(h(X3))
| ~ sorti1(X3) )
& ! [X4] :
( ! [X5] :
( j(op2(X4,X5)) = op1(j(X4),j(X5))
| ~ sorti2(X5) )
| ~ sorti2(X4) )
& ! [X6] :
( j(h(X6)) = X6
| ~ sorti1(X6) )
& ! [X7] :
( ~ sorti2(X7)
| sorti1(j(X7)) ) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
( ! [X4] :
( ! [X5] :
( op2(h(X4),h(X5)) = h(op1(X4,X5))
| ~ sorti1(X5) )
| ~ sorti1(X4) )
& ! [X2] :
( ~ sorti2(X2)
| h(j(X2)) = X2 )
& ! [X1] :
( sorti2(h(X1))
| ~ sorti1(X1) )
& ! [X6] :
( ! [X7] :
( op1(j(X6),j(X7)) = j(op2(X6,X7))
| ~ sorti2(X7) )
| ~ sorti2(X6) )
& ! [X3] :
( j(h(X3)) = X3
| ~ sorti1(X3) )
& ! [X0] :
( ~ sorti2(X0)
| sorti1(j(X0)) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( ! [X2] :
( ~ sorti2(X2)
| h(j(X2)) = X2 )
& ! [X6] :
( ! [X7] :
( op1(j(X6),j(X7)) = j(op2(X6,X7))
| ~ sorti2(X7) )
| ~ sorti2(X6) )
& ! [X3] :
( j(h(X3)) = X3
| ~ sorti1(X3) )
& ! [X4] :
( ! [X5] :
( op2(h(X4),h(X5)) = h(op1(X4,X5))
| ~ sorti1(X5) )
| ~ sorti1(X4) )
& ! [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)) ) )
=> ~ ( ! [X2] :
( sorti2(X2)
=> h(j(X2)) = X2 )
& ! [X6] :
( sorti2(X6)
=> ! [X7] :
( sorti2(X7)
=> op1(j(X6),j(X7)) = j(op2(X6,X7)) ) )
& ! [X3] :
( sorti1(X3)
=> j(h(X3)) = X3 )
& ! [X4] :
( sorti1(X4)
=> ! [X5] :
( sorti1(X5)
=> op2(h(X4),h(X5)) = h(op1(X4,X5)) ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( ( ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) )
& ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) ) )
=> ~ ( ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 )
& ! [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)) ) ) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( ( ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) )
& ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) ) )
=> ~ ( ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 )
& ! [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)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f75,plain,
~ sorti1(j(sK0)),
inference(trivial_inequality_removal,[],[f72]) ).
fof(f72,plain,
( ~ sorti1(j(sK0))
| j(sK0) != j(sK0) ),
inference(superposition,[],[f25,f58]) ).
fof(f58,plain,
j(sK0) = op1(j(sK0),j(sK0)),
inference(forward_demodulation,[],[f55,f23]) ).
fof(f23,plain,
op2(sK0,sK0) = sK0,
inference(cnf_transformation,[],[f16]) ).
fof(f55,plain,
j(op2(sK0,sK0)) = op1(j(sK0),j(sK0)),
inference(resolution,[],[f38,f24]) ).
fof(f38,plain,
! [X0] :
( ~ sorti2(X0)
| j(op2(X0,sK0)) = op1(j(X0),j(sK0)) ),
inference(resolution,[],[f19,f24]) ).
fof(f19,plain,
! [X4,X5] :
( ~ sorti2(X5)
| ~ sorti2(X4)
| j(op2(X4,X5)) = op1(j(X4),j(X5)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f25,plain,
! [X0] :
( op1(X0,X0) != X0
| ~ sorti1(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] :
( op1(X0,X0) != X0
| ~ sorti1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( sorti1(X0)
=> op1(X0,X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : ALG201+1 : TPTP v8.1.0. Released v2.7.0.
% 0.09/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.30 % Computer : n023.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Aug 29 15:19:50 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.16/0.47 % (15887)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)
% 0.16/0.47 % (15887)Instruction limit reached!
% 0.16/0.47 % (15887)------------------------------
% 0.16/0.47 % (15887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (15896)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)
% 0.16/0.48 % (15887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (15887)Termination reason: Unknown
% 0.16/0.48 % (15887)Termination phase: Saturation
% 0.16/0.48
% 0.16/0.48 % (15887)Memory used [KB]: 6012
% 0.16/0.48 % (15887)Time elapsed: 0.109 s
% 0.16/0.48 % (15887)Instructions burned: 4 (million)
% 0.16/0.48 % (15887)------------------------------
% 0.16/0.48 % (15887)------------------------------
% 0.16/0.48 % (15879)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)
% 0.16/0.48 % (15888)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)
% 0.16/0.48 % (15888)First to succeed.
% 0.16/0.49 % (15880)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)
% 0.16/0.49 % (15895)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)
% 0.16/0.49 % (15888)Refutation found. Thanks to Tanya!
% 0.16/0.49 % SZS status Theorem for theBenchmark
% 0.16/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49 % (15888)------------------------------
% 0.16/0.49 % (15888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (15888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (15888)Termination reason: Refutation
% 0.16/0.49
% 0.16/0.49 % (15888)Memory used [KB]: 6012
% 0.16/0.49 % (15888)Time elapsed: 0.074 s
% 0.16/0.49 % (15888)Instructions burned: 4 (million)
% 0.16/0.49 % (15888)------------------------------
% 0.16/0.49 % (15888)------------------------------
% 0.16/0.49 % (15872)Success in time 0.179 s
%------------------------------------------------------------------------------