TSTP Solution File: SYN077-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN077-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n016.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 19:36:49 EDT 2022
% Result : Unsatisfiable 1.58s 0.56s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 7 unt; 0 def)
% Number of atoms : 83 ( 3 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 87 ( 38 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f81,plain,
$false,
inference(subsumption_resolution,[],[f80,f54]) ).
fof(f54,plain,
big_f(a,a),
inference(subsumption_resolution,[],[f53,f24]) ).
fof(f24,plain,
( big_f(g(i(a,a),h(a)),h(a))
| big_f(a,a) ),
inference(subsumption_resolution,[],[f22,f5]) ).
fof(f5,axiom,
! [X0] :
( big_f(X0,h(X0))
| big_f(X0,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f22,plain,
( big_f(a,a)
| big_f(g(i(a,a),h(a)),h(a))
| ~ big_f(a,h(a)) ),
inference(duplicate_literal_removal,[],[f18]) ).
fof(f18,plain,
( big_f(a,a)
| big_f(g(i(a,a),h(a)),h(a))
| ~ big_f(a,h(a))
| big_f(a,a) ),
inference(resolution,[],[f16,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(f16,plain,
! [X3] :
( ~ big_f(i(a,a),X3)
| big_f(g(i(a,a),X3),X3)
| big_f(a,a) ),
inference(resolution,[],[f11,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ big_f(X0,a)
| ~ big_f(X0,X1)
| big_f(g(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f11,plain,
! [X0] :
( big_f(i(X0,X0),X0)
| big_f(X0,a) ),
inference(duplicate_literal_removal,[],[f10]) ).
fof(f10,plain,
! [X0] :
( big_f(X0,a)
| big_f(i(X0,X0),X0)
| big_f(X0,a) ),
inference(resolution,[],[f6,f5]) ).
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(f53,plain,
( big_f(a,a)
| ~ big_f(g(i(a,a),h(a)),h(a)) ),
inference(duplicate_literal_removal,[],[f52]) ).
fof(f52,plain,
( ~ big_f(g(i(a,a),h(a)),h(a))
| big_f(a,a)
| big_f(a,a) ),
inference(resolution,[],[f39,f7]) ).
fof(f39,plain,
( ~ big_f(i(a,g(i(a,a),h(a))),h(a))
| big_f(a,a) ),
inference(duplicate_literal_removal,[],[f38]) ).
fof(f38,plain,
( ~ big_f(i(a,g(i(a,a),h(a))),h(a))
| big_f(a,a)
| big_f(a,a) ),
inference(resolution,[],[f35,f31]) ).
fof(f31,plain,
! [X0] :
( ~ big_f(X0,g(i(a,a),h(a)))
| ~ big_f(X0,h(a))
| big_f(a,a) ),
inference(subsumption_resolution,[],[f29,f5]) ).
fof(f29,plain,
! [X0] :
( ~ big_f(X0,g(i(a,a),h(a)))
| ~ big_f(X0,h(a))
| ~ big_f(a,h(a))
| big_f(a,a) ),
inference(duplicate_literal_removal,[],[f25]) ).
fof(f25,plain,
! [X0] :
( big_f(a,a)
| ~ big_f(X0,h(a))
| big_f(a,a)
| ~ big_f(X0,g(i(a,a),h(a)))
| ~ big_f(a,h(a)) ),
inference(resolution,[],[f15,f7]) ).
fof(f15,plain,
! [X2,X1] :
( ~ big_f(i(a,a),X1)
| ~ big_f(X2,g(i(a,a),X1))
| big_f(a,a)
| ~ big_f(X2,X1) ),
inference(resolution,[],[f11,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ big_f(X0,a)
| ~ big_f(X0,X1)
| ~ big_f(X2,g(X0,X1))
| ~ big_f(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f35,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,[],[f34]) ).
fof(f34,plain,
( big_f(a,a)
| big_f(i(a,g(i(a,a),h(a))),g(i(a,a),h(a)))
| big_f(a,a) ),
inference(resolution,[],[f24,f6]) ).
fof(f80,plain,
~ big_f(a,a),
inference(forward_demodulation,[],[f78,f62]) ).
fof(f62,plain,
a = g(a,f(a)),
inference(resolution,[],[f59,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ big_f(X0,f(X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f59,plain,
big_f(g(a,f(a)),f(a)),
inference(resolution,[],[f56,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(f56,plain,
! [X2] :
( ~ big_f(a,X2)
| big_f(g(a,X2),X2) ),
inference(resolution,[],[f54,f3]) ).
fof(f78,plain,
~ big_f(g(a,f(a)),a),
inference(resolution,[],[f72,f59]) ).
fof(f72,plain,
! [X2] :
( ~ big_f(X2,f(a))
| ~ big_f(X2,a) ),
inference(forward_demodulation,[],[f71,f62]) ).
fof(f71,plain,
! [X2] :
( ~ big_f(X2,g(a,f(a)))
| ~ big_f(X2,f(a)) ),
inference(resolution,[],[f55,f8]) ).
fof(f55,plain,
! [X0,X1] :
( ~ big_f(a,X0)
| ~ big_f(X1,g(a,X0))
| ~ big_f(X1,X0) ),
inference(resolution,[],[f54,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN077-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 21:51:01 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.53 % (30227)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54 % (30219)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (30209)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54 % (30209)First to succeed.
% 1.58/0.56 % (30219)Also succeeded, but the first one will report.
% 1.58/0.56 % (30209)Refutation found. Thanks to Tanya!
% 1.58/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.58/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.56 % (30209)------------------------------
% 1.58/0.56 % (30209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56 % (30209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56 % (30209)Termination reason: Refutation
% 1.58/0.56
% 1.58/0.56 % (30209)Memory used [KB]: 895
% 1.58/0.56 % (30209)Time elapsed: 0.117 s
% 1.58/0.56 % (30209)Instructions burned: 4 (million)
% 1.58/0.56 % (30209)------------------------------
% 1.58/0.56 % (30209)------------------------------
% 1.58/0.56 % (30206)Success in time 0.205 s
%------------------------------------------------------------------------------