TSTP Solution File: ALG011-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG011-1 : 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 : n020.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 15:38:47 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 40 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 44 ( 23 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f64,plain,
$false,
inference(unit_resulting_resolution,[],[f46,f34,f61]) ).
fof(f61,plain,
! [X4] :
( ~ c(f(a1,X4))
| c(X4) ),
inference(subsumption_resolution,[],[f54,f4]) ).
fof(f4,axiom,
c(a1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partition_c_not_empty) ).
fof(f54,plain,
! [X4] :
( ~ c(f(a1,X4))
| c(X4)
| ~ c(a1) ),
inference(resolution,[],[f36,f9]) ).
fof(f9,plain,
! [X0,X1] :
( ~ c(f(X0,X1))
| ~ c(X0)
| ~ c(X1) ),
inference(resolution,[],[f3,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( d(f(X0,X1))
| ~ c(X0)
| ~ c(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1) ).
fof(f3,axiom,
! [X0] :
( ~ d(X0)
| ~ c(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_exclusive) ).
fof(f36,plain,
! [X2] :
( c(f(a1,f(a1,X2)))
| c(X2) ),
inference(resolution,[],[f31,f2]) ).
fof(f2,axiom,
! [X0] :
( d(X0)
| c(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partitions_union) ).
fof(f31,plain,
! [X0] :
( ~ d(X0)
| c(f(a1,f(a1,X0))) ),
inference(resolution,[],[f28,f4]) ).
fof(f28,plain,
! [X0,X1] :
( ~ c(X1)
| c(f(X1,f(a1,X0)))
| ~ d(X0) ),
inference(resolution,[],[f18,f4]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ c(X1)
| ~ d(X2)
| c(f(X0,f(X1,X2)))
| ~ c(X0) ),
inference(resolution,[],[f14,f6]) ).
fof(f14,plain,
! [X3,X4,X5] :
( ~ d(f(X3,X4))
| c(f(X3,f(X4,X5)))
| ~ d(X5) ),
inference(superposition,[],[f7,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_is_associative) ).
fof(f7,axiom,
! [X0,X1] :
( c(f(X0,X1))
| ~ d(X0)
| ~ d(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2) ).
fof(f34,plain,
c(f(a1,f(a1,a2))),
inference(resolution,[],[f31,f5]) ).
fof(f5,axiom,
d(a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partition_d_not_empty) ).
fof(f46,plain,
~ c(f(a1,a2)),
inference(subsumption_resolution,[],[f39,f4]) ).
fof(f39,plain,
( ~ c(f(a1,a2))
| ~ c(a1) ),
inference(resolution,[],[f34,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG011-1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 14:51:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (9558)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.50 % (9565)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=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.50 % (9557)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.51 % (9550)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 TRYING [3]
% 0.20/0.51 % (9549)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.51 % (9558)Instruction limit reached!
% 0.20/0.51 % (9558)------------------------------
% 0.20/0.51 % (9558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (9557)First to succeed.
% 0.20/0.51 % (9550)Also succeeded, but the first one will report.
% 0.20/0.51 % (9558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (9558)Termination reason: Unknown
% 0.20/0.51 % (9558)Termination phase: Finite model building SAT solving
% 0.20/0.51
% 0.20/0.51 % (9558)Memory used [KB]: 5884
% 0.20/0.51 % (9558)Time elapsed: 0.108 s
% 0.20/0.51 % (9558)Instructions burned: 7 (million)
% 0.20/0.51 % (9558)------------------------------
% 0.20/0.51 % (9558)------------------------------
% 0.20/0.52 % (9557)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (9557)------------------------------
% 0.20/0.52 % (9557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (9557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (9557)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (9557)Memory used [KB]: 1407
% 0.20/0.52 % (9557)Time elapsed: 0.067 s
% 0.20/0.52 % (9557)Instructions burned: 5 (million)
% 0.20/0.52 % (9557)------------------------------
% 0.20/0.52 % (9557)------------------------------
% 0.20/0.52 % (9542)Success in time 0.164 s
%------------------------------------------------------------------------------