TSTP Solution File: SWC277-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC277-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:45:11 EDT 2024
% Result : Unsatisfiable 2.86s 0.77s
% Output : CNFRefutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 26
% Syntax : Number of formulae : 83 ( 27 unt; 0 def)
% Number of atoms : 166 ( 20 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 151 ( 68 ~; 72 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 12 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [U] : ssItem(skaf44(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [U] :
( ~ ssList(U)
| segmentP(U,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [U] :
( ~ ssItem(U)
| totalorderedP(cons(U,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| neq(V,U)
| V = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f101,axiom,
! [U] :
( ~ singletonP(U)
| ~ ssList(U)
| cons(skaf44(U),nil) = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f127,axiom,
! [U,V] :
( ~ segmentP(U,V)
| ~ segmentP(V,U)
| ~ ssList(U)
| ~ ssList(V)
| V = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f187,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f198,plain,
totalorderedP(nil),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f202,plain,
ssList(nil),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f241,plain,
! [X0] : ssItem(skaf44(X0)),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f250,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f261,plain,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f297,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
inference(cnf_transformation,[status(esa)],[f100]) ).
fof(f298,plain,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
inference(cnf_transformation,[status(esa)],[f101]) ).
fof(f334,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = X0 ),
inference(cnf_transformation,[status(esa)],[f127]) ).
fof(f425,plain,
ssList(sk1),
inference(cnf_transformation,[status(esa)],[f186]) ).
fof(f426,plain,
ssList(sk2),
inference(cnf_transformation,[status(esa)],[f187]) ).
fof(f429,plain,
sk2 = sk4,
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f430,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f191]) ).
fof(f431,plain,
segmentP(sk4,sk3),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f432,plain,
~ totalorderedP(sk1),
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f433,plain,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f441,plain,
( spl0_2
<=> singletonP(sk3) ),
introduced(split_symbol_definition) ).
fof(f442,plain,
( singletonP(sk3)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( spl0_3
<=> neq(sk4,nil) ),
introduced(split_symbol_definition) ).
fof(f446,plain,
( ~ neq(sk4,nil)
| spl0_3 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,plain,
( spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f433,f441,f444]) ).
fof(f479,plain,
segmentP(sk2,sk3),
inference(forward_demodulation,[status(thm)],[f429,f431]) ).
fof(f480,plain,
segmentP(sk2,sk1),
inference(forward_demodulation,[status(thm)],[f430,f479]) ).
fof(f481,plain,
( ~ neq(sk2,nil)
| spl0_3 ),
inference(forward_demodulation,[status(thm)],[f429,f446]) ).
fof(f482,plain,
( spl0_4
<=> ssList(nil) ),
introduced(split_symbol_definition) ).
fof(f484,plain,
( ~ ssList(nil)
| spl0_4 ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f492,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f484,f202]) ).
fof(f493,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f492]) ).
fof(f496,plain,
! [X0] :
( ~ segmentP(X0,sk1)
| ~ segmentP(sk1,X0)
| ~ ssList(X0)
| sk1 = X0 ),
inference(resolution,[status(thm)],[f334,f425]) ).
fof(f500,plain,
( spl0_7
<=> ssList(sk2) ),
introduced(split_symbol_definition) ).
fof(f502,plain,
( ~ ssList(sk2)
| spl0_7 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f508,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f502,f426]) ).
fof(f509,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f508]) ).
fof(f514,plain,
( spl0_9
<=> segmentP(nil,sk1) ),
introduced(split_symbol_definition) ).
fof(f516,plain,
( ~ segmentP(nil,sk1)
| spl0_9 ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,plain,
( spl0_10
<=> sk1 = nil ),
introduced(split_symbol_definition) ).
fof(f518,plain,
( sk1 = nil
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,plain,
( spl0_11
<=> ssList(sk1) ),
introduced(split_symbol_definition) ).
fof(f522,plain,
( ~ ssList(sk1)
| spl0_11 ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,plain,
( ~ segmentP(nil,sk1)
| ~ ssList(nil)
| sk1 = nil
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[f496,f250]) ).
fof(f524,plain,
( ~ spl0_9
| ~ spl0_4
| spl0_10
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f523,f514,f482,f517,f520]) ).
fof(f536,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f522,f425]) ).
fof(f537,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f536]) ).
fof(f569,plain,
( spl0_18
<=> sk2 = nil ),
introduced(split_symbol_definition) ).
fof(f570,plain,
( sk2 = nil
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( ~ ssList(nil)
| ~ ssList(sk2)
| sk2 = nil
| spl0_3 ),
inference(resolution,[status(thm)],[f297,f481]) ).
fof(f573,plain,
( ~ spl0_4
| ~ spl0_7
| spl0_18
| spl0_3 ),
inference(split_clause,[status(thm)],[f572,f482,f500,f569,f444]) ).
fof(f574,plain,
( singletonP(sk1)
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f430,f442]) ).
fof(f584,plain,
( segmentP(nil,sk1)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f570,f480]) ).
fof(f585,plain,
( $false
| spl0_9
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f584,f516]) ).
fof(f586,plain,
( spl0_9
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f585]) ).
fof(f1005,plain,
( spl0_83
<=> cons(skaf44(sk1),nil) = sk1 ),
introduced(split_symbol_definition) ).
fof(f1006,plain,
( cons(skaf44(sk1),nil) = sk1
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1008,plain,
( ~ ssList(sk1)
| cons(skaf44(sk1),nil) = sk1
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f298,f574]) ).
fof(f1009,plain,
( ~ spl0_11
| spl0_83
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f1008,f520,f1005,f441]) ).
fof(f1010,plain,
( spl0_84
<=> ssItem(skaf44(sk1)) ),
introduced(split_symbol_definition) ).
fof(f1012,plain,
( ~ ssItem(skaf44(sk1))
| spl0_84 ),
inference(component_clause,[status(thm)],[f1010]) ).
fof(f1021,plain,
( spl0_87
<=> totalorderedP(sk1) ),
introduced(split_symbol_definition) ).
fof(f1022,plain,
( totalorderedP(sk1)
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f1021]) ).
fof(f1024,plain,
( ~ ssItem(skaf44(sk1))
| totalorderedP(sk1)
| ~ spl0_83 ),
inference(paramodulation,[status(thm)],[f1006,f261]) ).
fof(f1025,plain,
( ~ spl0_84
| spl0_87
| ~ spl0_83 ),
inference(split_clause,[status(thm)],[f1024,f1010,f1021,f1005]) ).
fof(f2837,plain,
( $false
| spl0_84 ),
inference(backward_subsumption_resolution,[status(thm)],[f1012,f241]) ).
fof(f2838,plain,
spl0_84,
inference(contradiction_clause,[status(thm)],[f2837]) ).
fof(f2851,plain,
( $false
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f1022,f432]) ).
fof(f2852,plain,
~ spl0_87,
inference(contradiction_clause,[status(thm)],[f2851]) ).
fof(f2858,plain,
( ~ totalorderedP(nil)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f518,f432]) ).
fof(f2859,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f2858,f198]) ).
fof(f2860,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f2859]) ).
fof(f2861,plain,
$false,
inference(sat_refutation,[status(thm)],[f447,f493,f509,f524,f537,f573,f586,f1009,f1025,f2838,f2852,f2860]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWC277-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 00:05:42 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 2.86/0.77 % Refutation found
% 2.86/0.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.86/0.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.41/0.80 % Elapsed time: 0.456504 seconds
% 3.41/0.80 % CPU time: 3.480686 seconds
% 3.41/0.80 % Total memory used: 98.201 MB
% 3.41/0.80 % Net memory used: 95.803 MB
%------------------------------------------------------------------------------