TSTP Solution File: SYN077-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% 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 : n010.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 : Tue Apr 30 18:02:06 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 63 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 54 ( 19 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 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 : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f157,plain,
$false,
inference(subsumption_resolution,[],[f155,f123]) ).
fof(f123,plain,
big_f(a,a),
inference(subsumption_resolution,[],[f122,f84]) ).
fof(f84,plain,
( big_f(i(a,g(i(a,a),h(a))),h(a))
| big_f(a,a) ),
inference(duplicate_literal_removal,[],[f80]) ).
fof(f80,plain,
( big_f(a,a)
| big_f(a,a)
| big_f(i(a,g(i(a,a),h(a))),h(a)) ),
inference(resolution,[],[f79,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ big_f(X1,h(X0))
| big_f(X0,a)
| big_f(i(X0,X1),h(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f79,plain,
( big_f(g(i(a,a),h(a)),h(a))
| big_f(a,a) ),
inference(duplicate_literal_removal,[],[f78]) ).
fof(f78,plain,
( big_f(a,a)
| big_f(g(i(a,a),h(a)),h(a))
| big_f(a,a) ),
inference(resolution,[],[f27,f14]) ).
fof(f14,plain,
! [X0] :
( big_f(i(X0,X0),X0)
| big_f(X0,a) ),
inference(duplicate_literal_removal,[],[f13]) ).
fof(f13,plain,
! [X0] :
( big_f(X0,a)
| big_f(i(X0,X0),X0)
| big_f(X0,a) ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0] :
( big_f(X0,h(X0))
| big_f(X0,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f6,axiom,
! [X0,X1] :
( ~ big_f(X0,h(X1))
| big_f(X1,a)
| big_f(i(X1,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f27,plain,
! [X0] :
( ~ big_f(i(X0,X0),a)
| big_f(X0,a)
| big_f(g(i(X0,X0),h(X0)),h(X0)) ),
inference(resolution,[],[f24,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ big_f(X0,X1)
| ~ big_f(X0,a)
| big_f(g(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f24,plain,
! [X0] :
( big_f(i(X0,X0),h(X0))
| big_f(X0,a) ),
inference(duplicate_literal_removal,[],[f22]) ).
fof(f22,plain,
! [X0] :
( big_f(X0,a)
| big_f(i(X0,X0),h(X0))
| big_f(X0,a) ),
inference(resolution,[],[f7,f5]) ).
fof(f122,plain,
( big_f(a,a)
| ~ big_f(i(a,g(i(a,a),h(a))),h(a)) ),
inference(subsumption_resolution,[],[f121,f14]) ).
fof(f121,plain,
( big_f(a,a)
| ~ big_f(i(a,a),a)
| ~ big_f(i(a,g(i(a,a),h(a))),h(a)) ),
inference(subsumption_resolution,[],[f119,f24]) ).
fof(f119,plain,
( big_f(a,a)
| ~ big_f(i(a,a),h(a))
| ~ big_f(i(a,a),a)
| ~ big_f(i(a,g(i(a,a),h(a))),h(a)) ),
inference(resolution,[],[f83,f4]) ).
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(f83,plain,
( big_f(i(a,g(i(a,a),h(a))),g(i(a,a),h(a)))
| big_f(a,a) ),
inference(duplicate_literal_removal,[],[f81]) ).
fof(f81,plain,
( big_f(a,a)
| big_f(a,a)
| big_f(i(a,g(i(a,a),h(a))),g(i(a,a),h(a))) ),
inference(resolution,[],[f79,f6]) ).
fof(f155,plain,
~ big_f(a,a),
inference(superposition,[],[f125,f147]) ).
fof(f147,plain,
a = g(a,f(a)),
inference(unit_resulting_resolution,[],[f128,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ big_f(X0,f(X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f128,plain,
big_f(g(a,f(a)),f(a)),
inference(unit_resulting_resolution,[],[f8,f123,f3]) ).
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(f125,plain,
~ big_f(a,g(a,f(a))),
inference(unit_resulting_resolution,[],[f8,f8,f123,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN077-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 01:39:05 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (13077)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (13081)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 % (13080)WARNING: value z3 for option sas not known
% 0.15/0.37 TRYING [4]
% 0.15/0.37 % (13079)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (13078)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (13082)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)
% 0.15/0.38 % (13080)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)
% 0.15/0.38 % (13084)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)
% 0.15/0.38 % (13083)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)
% 0.15/0.38 TRYING [5]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 % (13084)First to succeed.
% 0.15/0.38 TRYING [3]
% 0.15/0.38 % (13083)Also succeeded, but the first one will report.
% 0.15/0.38 % (13080)Also succeeded, but the first one will report.
% 0.15/0.38 % (13084)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (13084)------------------------------
% 0.15/0.38 % (13084)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (13084)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (13084)Memory used [KB]: 840
% 0.15/0.38 % (13084)Time elapsed: 0.007 s
% 0.15/0.38 % (13084)Instructions burned: 9 (million)
% 0.15/0.38 % (13084)------------------------------
% 0.15/0.38 % (13084)------------------------------
% 0.15/0.38 % (13077)Success in time 0.024 s
%------------------------------------------------------------------------------