TSTP Solution File: SYN077-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN077-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 : Sun May 5 12:08:49 EDT 2024
% Result : Unsatisfiable 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 76 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 96 ( 47 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f83,plain,
$false,
inference(resolution,[],[f76,f57]) ).
fof(f57,plain,
big_f(a,a),
inference(duplicate_literal_removal,[],[f56]) ).
fof(f56,plain,
( big_f(a,a)
| big_f(a,a) ),
inference(resolution,[],[f55,f5]) ).
fof(f5,axiom,
! [X0] :
( big_f(X0,h(X0))
| big_f(X0,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f55,plain,
! [X0] :
( ~ big_f(a,h(X0))
| big_f(X0,a) ),
inference(duplicate_literal_removal,[],[f54]) ).
fof(f54,plain,
! [X0] :
( big_f(X0,a)
| ~ big_f(a,h(X0))
| ~ big_f(a,h(X0))
| big_f(X0,a) ),
inference(resolution,[],[f52,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( big_f(i(X1,X0),X0)
| ~ big_f(X0,h(X1))
| big_f(X1,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f52,plain,
! [X0,X1] :
( ~ big_f(i(X0,X1),a)
| big_f(X0,a)
| ~ big_f(X1,h(X0)) ),
inference(duplicate_literal_removal,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ big_f(i(X0,X1),a)
| big_f(X0,a)
| ~ big_f(X1,h(X0))
| big_f(X0,a) ),
inference(resolution,[],[f47,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( big_f(i(X0,X1),h(X0))
| ~ big_f(X1,h(X0))
| big_f(X0,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f47,plain,
! [X0,X1] :
( ~ big_f(X0,h(X1))
| ~ big_f(X0,a)
| big_f(X1,a) ),
inference(duplicate_literal_removal,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ big_f(X0,h(X1))
| ~ big_f(X0,a)
| big_f(X1,a)
| ~ big_f(X0,a)
| ~ big_f(X0,h(X1)) ),
inference(resolution,[],[f45,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( big_f(g(X0,X1),X1)
| ~ big_f(X0,a)
| ~ big_f(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f45,plain,
! [X0,X1] :
( ~ big_f(g(X0,h(X1)),h(X1))
| ~ big_f(X0,h(X1))
| ~ big_f(X0,a)
| big_f(X1,a) ),
inference(duplicate_literal_removal,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ big_f(X0,a)
| ~ big_f(X0,h(X1))
| ~ big_f(g(X0,h(X1)),h(X1))
| big_f(X1,a)
| ~ big_f(g(X0,h(X1)),h(X1))
| big_f(X1,a) ),
inference(resolution,[],[f19,f7]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ big_f(i(X2,g(X0,X1)),X1)
| ~ big_f(X0,a)
| ~ big_f(X0,X1)
| ~ big_f(g(X0,X1),h(X2))
| big_f(X2,a) ),
inference(resolution,[],[f4,f6]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ big_f(X2,g(X0,X1))
| ~ big_f(X0,X1)
| ~ big_f(X0,a)
| ~ big_f(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f76,plain,
~ big_f(a,a),
inference(resolution,[],[f75,f8]) ).
fof(f8,plain,
! [X1] : big_f(X1,f(X1)),
inference(equality_resolution,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( X0 != X1
| big_f(X0,f(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f75,plain,
( ~ big_f(a,f(a))
| ~ big_f(a,a) ),
inference(duplicate_literal_removal,[],[f74]) ).
fof(f74,plain,
( ~ big_f(a,f(a))
| ~ big_f(a,a)
| ~ big_f(a,a) ),
inference(factoring,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ~ big_f(a,f(a))
| ~ big_f(X0,f(a))
| ~ big_f(a,a)
| ~ big_f(X0,a) ),
inference(superposition,[],[f4,f60]) ).
fof(f60,plain,
a = g(a,f(a)),
inference(resolution,[],[f57,f12]) ).
fof(f12,plain,
! [X0] :
( ~ big_f(X0,a)
| g(X0,f(X0)) = X0 ),
inference(resolution,[],[f10,f8]) ).
fof(f10,plain,
! [X0,X1] :
( ~ big_f(X0,f(X1))
| ~ big_f(X0,a)
| g(X0,f(X1)) = X1 ),
inference(resolution,[],[f1,f3]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ big_f(X0,f(X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN077-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 17:25:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (4511)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (4514)WARNING: value z3 for option sas not known
% 0.22/0.38 % (4515)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (4513)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (4517)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.38 % (4518)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.38 % (4516)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.38 % (4514)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (4512)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [4]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 % (4517)First to succeed.
% 0.22/0.38 TRYING [2]
% 0.22/0.38 % (4518)Also succeeded, but the first one will report.
% 0.22/0.38 TRYING [3]
% 0.22/0.38 % (4517)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4511"
% 0.22/0.38 TRYING [3]
% 0.22/0.39 % (4514)Also succeeded, but the first one will report.
% 0.22/0.39 % (4517)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39 % (4517)------------------------------
% 0.22/0.39 % (4517)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.39 % (4517)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (4517)Memory used [KB]: 848
% 0.22/0.39 % (4517)Time elapsed: 0.008 s
% 0.22/0.39 % (4517)Instructions burned: 8 (million)
% 0.22/0.39 % (4511)Success in time 0.023 s
%------------------------------------------------------------------------------