TSTP Solution File: ALG201+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n009.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 15:43:36 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% 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 : 136 ( 44 ~; 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(f56,plain,
$false,
inference(subsumption_resolution,[],[f55,f19]) ).
fof(f19,plain,
sorti2(sK0),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( sorti2(sK0)
& op2(sK0,sK0) = sK0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f14]) ).
fof(f14,plain,
( ? [X0] :
( sorti2(X0)
& op2(X0,X0) = X0 )
=> ( sorti2(sK0)
& op2(sK0,sK0) = sK0 ) ),
introduced(choice_axiom,[]) ).
fof(f11,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(f55,plain,
~ sorti2(sK0),
inference(resolution,[],[f50,f21]) ).
fof(f21,plain,
! [X6] :
( sorti1(j(X6))
| ~ sorti2(X6) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( ! [X0] :
( j(h(X0)) = X0
| ~ sorti1(X0) )
& ! [X1] :
( ! [X2] :
( ~ sorti1(X2)
| op2(h(X1),h(X2)) = h(op1(X1,X2)) )
| ~ sorti1(X1) )
& ! [X3] :
( ! [X4] :
( ~ sorti2(X4)
| op1(j(X3),j(X4)) = j(op2(X3,X4)) )
| ~ sorti2(X3) )
& ! [X5] :
( h(j(X5)) = X5
| ~ sorti2(X5) )
& ! [X6] :
( ~ sorti2(X6)
| sorti1(j(X6)) )
& ! [X7] :
( sorti2(h(X7))
| ~ sorti1(X7) ) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
( ! [X4] :
( j(h(X4)) = X4
| ~ sorti1(X4) )
& ! [X6] :
( ! [X7] :
( ~ sorti1(X7)
| h(op1(X6,X7)) = op2(h(X6),h(X7)) )
| ~ sorti1(X6) )
& ! [X2] :
( ! [X3] :
( ~ sorti2(X3)
| j(op2(X2,X3)) = op1(j(X2),j(X3)) )
| ~ sorti2(X2) )
& ! [X5] :
( h(j(X5)) = X5
| ~ sorti2(X5) )
& ! [X0] :
( ~ sorti2(X0)
| sorti1(j(X0)) )
& ! [X1] :
( sorti2(h(X1))
| ~ sorti1(X1) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( ! [X6] :
( ! [X7] :
( ~ sorti1(X7)
| h(op1(X6,X7)) = op2(h(X6),h(X7)) )
| ~ sorti1(X6) )
& ! [X2] :
( ! [X3] :
( ~ sorti2(X3)
| j(op2(X2,X3)) = op1(j(X2),j(X3)) )
| ~ sorti2(X2) )
& ! [X4] :
( j(h(X4)) = X4
| ~ sorti1(X4) )
& ! [X5] :
( h(j(X5)) = X5
| ~ sorti2(X5) )
& ! [X0] :
( ~ sorti2(X0)
| sorti1(j(X0)) )
& ! [X1] :
( sorti2(h(X1))
| ~ sorti1(X1) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ( ( ! [X0] :
( sorti2(X0)
=> sorti1(j(X0)) )
& ! [X1] :
( sorti1(X1)
=> sorti2(h(X1)) ) )
=> ~ ( ! [X6] :
( sorti1(X6)
=> ! [X7] :
( sorti1(X7)
=> h(op1(X6,X7)) = op2(h(X6),h(X7)) ) )
& ! [X2] :
( sorti2(X2)
=> ! [X3] :
( sorti2(X3)
=> j(op2(X2,X3)) = op1(j(X2),j(X3)) ) )
& ! [X4] :
( sorti1(X4)
=> j(h(X4)) = X4 )
& ! [X5] :
( sorti2(X5)
=> h(j(X5)) = X5 ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( ( ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) )
& ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) ) )
=> ~ ( ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) ) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( ( ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) )
& ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) ) )
=> ~ ( ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f50,plain,
~ sorti1(j(sK0)),
inference(trivial_inequality_removal,[],[f48]) ).
fof(f48,plain,
( j(sK0) != j(sK0)
| ~ sorti1(j(sK0)) ),
inference(superposition,[],[f26,f47]) ).
fof(f47,plain,
op1(j(sK0),j(sK0)) = j(sK0),
inference(forward_demodulation,[],[f43,f18]) ).
fof(f18,plain,
op2(sK0,sK0) = sK0,
inference(cnf_transformation,[],[f15]) ).
fof(f43,plain,
j(op2(sK0,sK0)) = op1(j(sK0),j(sK0)),
inference(resolution,[],[f36,f19]) ).
fof(f36,plain,
! [X0] :
( ~ sorti2(X0)
| op1(j(X0),j(sK0)) = j(op2(X0,sK0)) ),
inference(resolution,[],[f23,f19]) ).
fof(f23,plain,
! [X3,X4] :
( ~ sorti2(X4)
| ~ sorti2(X3)
| op1(j(X3),j(X4)) = j(op2(X3,X4)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f26,plain,
! [X0] :
( op1(X0,X0) != X0
| ~ sorti1(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ~ sorti1(X0)
| op1(X0,X0) != 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
% 0.07/0.12 % Problem : ALG201+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 14:56:05 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.48 % (3967)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 % (3967)First to succeed.
% 0.20/0.49 % (3983)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)
% 0.20/0.49 % (3975)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)
% 0.20/0.50 % (3967)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (3967)------------------------------
% 0.20/0.50 % (3967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (3967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (3967)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (3967)Memory used [KB]: 5373
% 0.20/0.50 % (3967)Time elapsed: 0.090 s
% 0.20/0.50 % (3967)Instructions burned: 4 (million)
% 0.20/0.50 % (3967)------------------------------
% 0.20/0.50 % (3967)------------------------------
% 0.20/0.50 % (3959)Success in time 0.151 s
%------------------------------------------------------------------------------