%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC061-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:07:43 PM UTC 2026
% Result : Unsatisfiable 8.32s 1.71s
% Output : CNFRefutation 8.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 31
% Syntax : Number of formulae : 152 ( 54 unt; 3 def)
% Number of atoms : 514 ( 93 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 488 ( 248 ~; 240 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn 105 !; 0 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f101,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( X0 = X1
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f101]) ).
fof(f142,axiom,
! [X0,X1] :
( app(skaf46(X0,X1),X1) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).
fof(f143,axiom,
! [X0,X1] :
( app(X1,skaf45(X0,X1)) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).
fof(f154,axiom,
! [X2,X0,X1] :
( rearsegP(X2,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause143) ).
fof(f155,axiom,
! [X2,X0,X1] :
( frontsegP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).
fof(f162,axiom,
! [X2,X0,X1] :
( X1 = X2
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != app(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause150) ).
fof(f163,axiom,
! [X2,X0,X1] :
( X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != app(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause151) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
( ~ neq(sk4,nil)
| sk4 = app(cons(sk5,nil),sk6) ),
inference(reorient_equations,[],[f209]) ).
fof(f211,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f212,plain,
( ~ neq(sk4,nil)
| sk3 = app(sk6,cons(sk5,nil)) ),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
( neq(sk2,nil)
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,negated_conjecture,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f215,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f216,negated_conjecture,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f219,plain,
( neq(sk4,nil)
| nil = sk4 ),
inference(definition_unfolding,[],[f213,f204,f204]) ).
fof(f220,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk4 ),
inference(definition_unfolding,[],[f214,f204,f204,f205]) ).
fof(f221,plain,
( neq(sk4,nil)
| nil != sk3 ),
inference(definition_unfolding,[],[f215,f205,f204]) ).
fof(f222,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil != sk3 ),
inference(definition_unfolding,[],[f216,f205,f204,f205]) ).
fof(f233,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(equality_resolution,[],[f154]) ).
fof(f234,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f155]) ).
fof(f237,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
tcf(c_256,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_298,plain,
! [X0: $i,X1: $i] : ssList(skaf46(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[],[f51]) ).
tcf(c_321,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_322,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_333,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_334,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_348,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_379,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(X0,X1),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_380,plain,
! [X0: $i,X1: $i] :
( ( app(X1,skaf45(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_391,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_392,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_398,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != app(X0,X2) ) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_399,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != app(X2,X1) ) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_421,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_436,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_437,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_438,negated_conjecture,
( ( sk3 = nil )
| ( sk4 != nil ) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_439,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_440,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_441,negated_conjecture,
( ( app(cons(sk5,nil),sk6) = sk4 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_442,negated_conjecture,
( ( app(sk6,cons(sk5,nil)) = sk3 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_443,negated_conjecture,
( neq(sk4,nil)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_444,negated_conjecture,
! [X0: $i] :
( ( sk4 = nil )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_445,negated_conjecture,
( neq(sk4,nil)
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_446,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil)
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_554,negated_conjecture,
ssList(sk6),
inference(global_subsumption_just,[status(thm)],[c_440,c_440,c_443,c_445,c_438]) ).
tcf(c_556,negated_conjecture,
ssItem(sk5),
inference(global_subsumption_just,[status(thm)],[c_439,c_439,c_443,c_445,c_438]) ).
tcf(c_564,negated_conjecture,
neq(sk4,nil),
inference(global_subsumption_just,[status(thm)],[c_443,c_443,c_445,c_438]) ).
tcf(c_566,negated_conjecture,
neq(sk4,nil),
inference(global_subsumption_just,[status(thm)],[c_445,c_443,c_445,c_438]) ).
tcf(c_574,negated_conjecture,
app(sk6,cons(sk5,nil)) = sk3,
inference(global_subsumption_just,[status(thm)],[c_442,c_442,c_564]) ).
tcf(c_576,negated_conjecture,
app(cons(sk5,nil),sk6) = sk4,
inference(global_subsumption_just,[status(thm)],[c_441,c_443,c_445,c_438,c_441]) ).
tcf(c_578,plain,
! [X0: $i] :
( ~ neq(X0,nil)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_444,c_438,c_444,c_446]) ).
tcf(c_579,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(renaming,[status(thm)],[c_578]) ).
tcf(c_580,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(global_subsumption_just,[status(thm)],[c_446,c_579]) ).
tcf(c_824,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_392,c_333]) ).
tcf(c_825,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_391,c_333]) ).
tcf(c_2990,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ( nil != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_566,c_580]) ).
tcf(c_2991,plain,
( ~ ssList(sk4)
| ~ segmentP(sk4,sk4)
| ~ segmentP(sk3,sk4) ),
inference(unflattening,[status(thm)],[c_2990]) ).
tcf(c_2992,plain,
( ~ segmentP(sk3,sk4)
| ~ segmentP(sk4,sk4) ),
inference(global_subsumption_just,[status(thm)],[c_2991,c_437,c_2991]) ).
tcf(c_2993,plain,
( ~ segmentP(sk4,sk4)
| ~ segmentP(sk3,sk4) ),
inference(renaming,[status(thm)],[c_2992]) ).
tcf(c_3036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ( X2 != nil )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_580,c_348]) ).
tcf(c_3037,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(unflattening,[status(thm)],[c_3036]) ).
tcf(c_3039,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3037,c_256,c_3037]) ).
tcf(c_3040,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(renaming,[status(thm)],[c_3039]) ).
tcf(c_6577,definition,
iPr_def_12 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6578,definition,
iPr_def_13 = app(iPr_def_12,sk6),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_6579,definition,
iPr_def_14 = app(sk6,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_6580,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(demodulation,[status(thm)],[c_3040]) ).
tcf(c_6582,plain,
( ~ segmentP(sk4,sk4)
| ~ segmentP(sk3,sk4) ),
inference(demodulation,[status(thm)],[c_2993]) ).
tcf(c_6583,negated_conjecture,
iPr_def_13 = sk4,
inference(demodulation,[status(thm)],[c_576,c_6577,c_6578]) ).
tcf(c_6584,negated_conjecture,
iPr_def_14 = sk3,
inference(demodulation,[status(thm)],[c_574,c_6579]) ).
tcf(c_6585,negated_conjecture,
ssItem(sk5),
inference(demodulation,[status(thm)],[c_556]) ).
tcf(c_6586,negated_conjecture,
ssList(sk6),
inference(demodulation,[status(thm)],[c_554]) ).
tcf(c_6587,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_437]) ).
tcf(c_6588,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_436]) ).
tcf(c_9117,plain,
ssList(iPr_def_13),
inference(light_normalisation,[status(thm)],[c_6587,c_6583]) ).
tcf(c_9118,plain,
ssList(iPr_def_14),
inference(light_normalisation,[status(thm)],[c_6588,c_6584]) ).
tcf(c_9120,plain,
( ~ segmentP(iPr_def_14,iPr_def_13)
| ~ segmentP(iPr_def_13,iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_6582,c_6583,c_6584]) ).
tcf(c_9123,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(iPr_def_14,X0)
| ~ segmentP(iPr_def_13,X0) ),
inference(light_normalisation,[status(thm)],[c_6580,c_6583,c_6584]) ).
tcf(c_9254,plain,
app(iPr_def_13,nil) = iPr_def_13,
inference(superposition,[status(thm)],[c_9117,c_321]) ).
tcf(c_9255,plain,
app(iPr_def_14,nil) = iPr_def_14,
inference(superposition,[status(thm)],[c_9118,c_321]) ).
tcf(c_9301,plain,
app(nil,sk6) = sk6,
inference(superposition,[status(thm)],[c_6586,c_322]) ).
tcf(c_9562,plain,
( ssList(iPr_def_12)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6577,c_334]) ).
tcf(c_9566,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9562,c_6585,c_256]) ).
tcf(c_9579,plain,
app(nil,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_9566,c_322]) ).
tcf(c_9580,plain,
app(iPr_def_12,nil) = iPr_def_12,
inference(superposition,[status(thm)],[c_9566,c_321]) ).
tcf(c_9800,plain,
( frontsegP(iPr_def_14,sk6)
| ~ ssList(iPr_def_12)
| ~ ssList(sk6) ),
inference(superposition,[status(thm)],[c_6579,c_824]) ).
tcf(c_9840,plain,
frontsegP(iPr_def_14,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_9800,c_9566,c_6586]) ).
tcf(c_9895,plain,
( rearsegP(iPr_def_13,sk6)
| ~ ssList(iPr_def_12)
| ~ ssList(sk6) ),
inference(superposition,[status(thm)],[c_6578,c_825]) ).
tcf(c_9937,plain,
rearsegP(iPr_def_13,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_9895,c_9566,c_6586]) ).
tcf(c_12240,plain,
( ( app(skaf46(iPr_def_13,sk6),sk6) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sk6) ),
inference(superposition,[status(thm)],[c_9937,c_379]) ).
tcf(c_12280,plain,
app(skaf46(iPr_def_13,sk6),sk6) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_12240,c_9117,c_6586]) ).
tcf(c_12424,plain,
( ( app(sk6,skaf45(iPr_def_14,sk6)) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(sk6) ),
inference(superposition,[status(thm)],[c_9840,c_380]) ).
tcf(c_12445,plain,
app(sk6,skaf45(iPr_def_14,sk6)) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_12424,c_9118,c_6586]) ).
tcf(c_15797,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk6)
| ~ ssList(X0)
| ( app(sk6,X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6579,c_398]) ).
tcf(c_15885,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(sk6,X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15797,c_9566,c_6586]) ).
tcf(c_16306,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk6)
| ~ ssList(X0)
| ( app(X0,sk6) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6578,c_399]) ).
tcf(c_16399,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(X0,sk6) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16306,c_9566,c_6586]) ).
tcf(c_17109,plain,
( ( skaf45(iPr_def_14,sk6) = iPr_def_12 )
| ~ ssList(skaf45(iPr_def_14,sk6)) ),
inference(superposition,[status(thm)],[c_12445,c_15885]) ).
tcf(c_17110,plain,
skaf45(iPr_def_14,sk6) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_17109,c_299]) ).
tcf(c_17114,plain,
app(sk6,iPr_def_12) = iPr_def_14,
inference(demodulation,[status(thm)],[c_12445,c_17110]) ).
tcf(c_17744,plain,
( ( skaf46(iPr_def_13,sk6) = iPr_def_12 )
| ~ ssList(skaf46(iPr_def_13,sk6)) ),
inference(superposition,[status(thm)],[c_12280,c_16399]) ).
tcf(c_17745,plain,
skaf46(iPr_def_13,sk6) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_17744,c_298]) ).
tcf(c_17749,plain,
app(iPr_def_12,sk6) = iPr_def_13,
inference(demodulation,[status(thm)],[c_12280,c_17745]) ).
tcf(c_19410,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk6)
| ~ ssList(iPr_def_12)
| ~ ssList(sk6)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_12,sk6),X0)) ),
inference(superposition,[status(thm)],[c_6578,c_421]) ).
tcf(c_19411,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(sk6)
| ~ ssList(X0)
| ~ ssList(app(app(sk6,iPr_def_12),X0)) ),
inference(superposition,[status(thm)],[c_6579,c_421]) ).
tcf(c_19442,plain,
! [X0: $i] :
( segmentP(app(sk6,X0),sk6)
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sk6),X0)) ),
inference(superposition,[status(thm)],[c_9301,c_421]) ).
tcf(c_19487,plain,
! [X0: $i] :
( segmentP(app(sk6,X0),sk6)
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sk6,X0)) ),
inference(light_normalisation,[status(thm)],[c_19442,c_9301]) ).
tcf(c_19488,plain,
! [X0: $i] :
( segmentP(app(sk6,X0),sk6)
| ~ ssList(X0)
| ~ ssList(app(sk6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19487,c_6586,c_256]) ).
tcf(c_19507,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(sk6)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_14,X0)) ),
inference(light_normalisation,[status(thm)],[c_19411,c_17114]) ).
tcf(c_19508,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),iPr_def_12)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19507,c_9566,c_6586]) ).
tcf(c_19512,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk6)
| ~ ssList(iPr_def_12)
| ~ ssList(sk6)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_19410,c_17749]) ).
tcf(c_19513,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk6)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19512,c_9566,c_6586]) ).
tcf(c_20246,plain,
( segmentP(iPr_def_14,sk6)
| ~ ssList(iPr_def_12)
| ~ ssList(app(sk6,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_6579,c_19488]) ).
tcf(c_20253,plain,
( segmentP(iPr_def_14,sk6)
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_20246,c_17114]) ).
tcf(c_20254,plain,
segmentP(iPr_def_14,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_20253,c_9118,c_9566]) ).
tcf(c_20382,plain,
( segmentP(iPr_def_14,iPr_def_12)
| ~ ssList(nil)
| ~ ssList(app(iPr_def_14,nil)) ),
inference(superposition,[status(thm)],[c_9255,c_19508]) ).
tcf(c_20386,plain,
( segmentP(iPr_def_14,iPr_def_12)
| ~ ssList(iPr_def_14)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_20382,c_9255]) ).
tcf(c_20387,plain,
segmentP(iPr_def_14,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_20386,c_9118,c_256]) ).
tcf(c_20776,plain,
( ( nil = sk6 )
| ~ ssList(sk6)
| ~ segmentP(iPr_def_13,sk6) ),
inference(superposition,[status(thm)],[c_20254,c_9123]) ).
tcf(c_20777,plain,
( ( nil = sk6 )
| ~ segmentP(iPr_def_13,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20776,c_6586]) ).
tcf(c_20978,plain,
( segmentP(iPr_def_13,sk6)
| ~ ssList(nil)
| ~ ssList(app(iPr_def_13,nil)) ),
inference(superposition,[status(thm)],[c_9254,c_19513]) ).
tcf(c_20982,plain,
( segmentP(iPr_def_13,sk6)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_20978,c_9254]) ).
tcf(c_20983,plain,
segmentP(iPr_def_13,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_20982,c_9117,c_256]) ).
tcf(c_20999,plain,
nil = sk6,
inference(backward_subsumption_resolution,[status(thm)],[c_20777,c_20983]) ).
tcf(c_21070,plain,
app(nil,iPr_def_12) = iPr_def_14,
inference(demodulation,[status(thm)],[c_6579,c_20999]) ).
tcf(c_21071,plain,
app(iPr_def_12,nil) = iPr_def_13,
inference(demodulation,[status(thm)],[c_6578,c_20999]) ).
tcf(c_21073,plain,
iPr_def_12 = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_21071,c_9580]) ).
tcf(c_21092,plain,
( ~ segmentP(iPr_def_14,iPr_def_12)
| ~ segmentP(iPr_def_12,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_9120,c_21073]) ).
tcf(c_21096,plain,
~ segmentP(iPr_def_12,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_21092,c_20387]) ).
tcf(c_21101,plain,
iPr_def_12 = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_21070,c_9579]) ).
tcf(c_21103,plain,
segmentP(iPr_def_12,iPr_def_12),
inference(demodulation,[status(thm)],[c_20387,c_21101]) ).
tcf(c_21122,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_21103,c_21096]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC061-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 16:12:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 8.32/1.71 % SZS status Started for theBenchmark.p
% 8.32/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 8.32/1.71
% 8.32/1.71 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.32/1.71
% 8.32/1.71 % ------ iProver source info
% 8.32/1.71
% 8.32/1.71 % git: date: 2026-07-19 20:42:38 +0200
% 8.32/1.71 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.32/1.71 % git: non_committed_changes: false
% 8.32/1.71
% 8.32/1.71 % ------ Parsing...% successful
% 8.32/1.71
% 8.32/1.71
% 8.32/1.71 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.32/1.71
% 8.32/1.71 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 8.32/1.71
% 8.32/1.71 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.32/1.71
% 8.32/1.71 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.32/1.71 % ------ Proving...
% 8.32/1.71 % ------ Problem Properties
% 8.32/1.71
% 8.32/1.71 %
% 8.32/1.71 % clauses 189
% 8.32/1.71 % conjectures 6
% 8.32/1.71 % EPR 61
% 8.32/1.71 % Horn 161
% 8.32/1.71 % unary 68
% 8.32/1.71 % binary 22
% 8.32/1.71 % lits 557
% 8.32/1.71 % lits eq 76
% 8.32/1.71 % fd_pure 0
% 8.32/1.71 % fd_pseudo 0
% 8.32/1.71 % fd_cond 16
% 8.32/1.71 % fd_pseudo_cond 14
% 8.32/1.71 % AC symbols 0
% 8.32/1.71
% 8.32/1.71 % ------ Schedule dynamic 5 is on
% 8.32/1.71
% 8.32/1.71 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.32/1.71
% 8.32/1.71
% 8.32/1.71 % ------
% 8.32/1.71 % Current options:
% 8.32/1.71 % ------
% 8.32/1.71
% 8.32/1.71
% 8.32/1.71 %
% 8.32/1.71
% 8.32/1.71 % ------ Proving...
% 8.32/1.71 %
% 8.32/1.71
% 8.32/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 8.32/1.71
% 8.32/1.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.32/1.71
% 8.32/1.71
%------------------------------------------------------------------------------