%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC240-1 : 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 : n014.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 03:08:58 PM UTC 2026
% Result : Unsatisfiable 49.66s 8.88s
% Output : CNFRefutation 49.66s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f254ERROR: Could not build tree for root c_124776ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).
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(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause53) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f72,axiom,
! [X0,X1] :
( ssItem(X1)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
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(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
fof(f112,axiom,
! [X0] :
( nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
fof(f125,axiom,
! [X0,X1] :
( app(cons(X0,nil),X1) = cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
fof(f126,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
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(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(f169,axiom,
! [X2,X0,X1] :
( cons(X0,app(X1,X2)) = app(cons(X0,X1),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause157) ).
fof(f182,axiom,
! [X0,X1] :
( app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause169) ).
fof(f188,axiom,
! [X2,X3,X0,X1] :
( frontsegP(X1,X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause174) ).
fof(f193,axiom,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X4)
| ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause179) ).
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(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f209,negated_conjecture,
! [X2,X0,X1] :
( memberP(X1,sk5(X2,X1,X0))
| app(app(X1,cons(X0,nil)),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f210,plain,
! [X2,X0,X1] :
( memberP(X1,sk5(X2,X1,X0))
| sk1 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f209]) ).
fof(f217,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f218,negated_conjecture,
! [X0] :
( ~ memberP(sk3,X0)
| sk6 = X0
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f221,plain,
nil != sk3,
inference(definition_unfolding,[],[f206,f205]) ).
fof(f223,plain,
! [X2,X0,X1] :
( memberP(X1,sk5(X2,X1,X0))
| sk3 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f210,f205]) ).
fof(f237,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(equality_resolution,[],[f154]) ).
fof(f238,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f155]) ).
fof(f244,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f193]) ).
tcf(c_255,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_259,plain,
! [X0: $i] : ssItem(skaf83(X0)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_260,plain,
! [X0: $i] : ssList(skaf82(X0)),
inference(cnf_transformation,[],[f13]) ).
tcf(c_297,plain,
! [X0: $i,X1: $i] : ssList(skaf46(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
tcf(c_298,plain,
! [X0: $i,X1: $i] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[],[f51]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i] : ssList(skaf43(X0,X1)),
inference(cnf_transformation,[],[f52]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i] : ssList(skaf42(X0,X1)),
inference(cnf_transformation,[],[f53]) ).
tcf(c_318,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_319,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_321,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_332,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_333,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(X1,X0)) = X0 )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_356,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skaf83(X0),skaf82(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_367,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(X0,X1),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_379,plain,
! [X0: $i,X1: $i] :
( ( app(X1,skaf45(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_385,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_390,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_391,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_398,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_404,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X2,app(X0,X1)) = app(cons(X2,X0),X1) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_416,plain,
! [X0: $i,X1: $i] :
( ( app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X1,X3)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_425,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(cons(X2,X0),cons(X2,X1))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_435,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_436,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_437,negated_conjecture,
sk3 != nil,
inference(cnf_transformation,[],[f221]) ).
tcf(c_439,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X0,sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_443,negated_conjecture,
ssItem(sk6),
inference(cnf_transformation,[],[f217]) ).
tcf(c_444,negated_conjecture,
! [X0: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_801,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_390,c_332]) ).
tcf(c_802,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_391,c_332]) ).
tcf(c_6654,plain,
! [X0: $i] :
( ~ iPr_def_10
| ssItem(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_319]) ).
tcf(c_6655,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ ssList(X0)
| duplicatefreeP(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_319]) ).
tcf(c_6656,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_319]) ).
tcf(c_6660,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X0,sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(demodulation,[status(thm)],[c_439]) ).
tcf(c_6662,negated_conjecture,
sk3 != nil,
inference(demodulation,[status(thm)],[c_437]) ).
tcf(c_6663,negated_conjecture,
! [X0: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(demodulation,[status(thm)],[c_444]) ).
tcf(c_6664,negated_conjecture,
ssItem(sk6),
inference(demodulation,[status(thm)],[c_443]) ).
tcf(c_6665,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_436]) ).
tcf(c_6666,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_435]) ).
tcf(c_9589,plain,
! [X0: $i] : app(nil,skaf82(X0)) = skaf82(X0),
inference(superposition,[status(thm)],[c_260,c_321]) ).
tcf(c_9612,plain,
! [X0: $i,X1: $i] : app(nil,skaf46(X0,X1)) = skaf46(X0,X1),
inference(superposition,[status(thm)],[c_297,c_321]) ).
tcf(c_10048,plain,
! [X0: $i] :
( frontsegP(skaf82(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf82(X0)) ),
inference(superposition,[status(thm)],[c_9589,c_802]) ).
tcf(c_10055,plain,
! [X0: $i] : frontsegP(skaf82(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_10048,c_255,c_260]) ).
tcf(c_11091,plain,
( ( sk3 = nil )
| ( cons(skaf83(sk3),skaf82(sk3)) = sk3 ) ),
inference(superposition,[status(thm)],[c_6666,c_356]) ).
tcf(c_11126,plain,
cons(skaf83(sk3),skaf82(sk3)) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_11091,c_6662]) ).
tcf(c_11265,plain,
! [X0: $i] :
( ( app(cons(X0,nil),sk3) = cons(X0,sk3) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_6666,c_367]) ).
tcf(c_11266,plain,
! [X0: $i] :
( ( app(cons(X0,nil),sk4) = cons(X0,sk4) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_6665,c_367]) ).
tcf(c_11448,plain,
( memberP(sk3,skaf83(sk3))
| ~ ssItem(skaf83(sk3))
| ~ ssList(skaf82(sk3)) ),
inference(superposition,[status(thm)],[c_11126,c_385]) ).
tcf(c_11452,plain,
memberP(sk3,skaf83(sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_11448,c_259,c_260]) ).
tcf(c_11489,plain,
app(cons(sk6,nil),sk3) = cons(sk6,sk3),
inference(superposition,[status(thm)],[c_6664,c_11265]) ).
tcf(c_11565,plain,
( ssList(cons(sk6,sk3))
| ~ ssList(sk3)
| ~ ssList(cons(sk6,nil)) ),
inference(superposition,[status(thm)],[c_11489,c_332]) ).
tcf(c_11568,plain,
( ssList(cons(sk6,sk3))
| ~ ssList(cons(sk6,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11565,c_6666]) ).
tcf(c_11581,plain,
( ssList(cons(sk6,sk3))
| ~ ssItem(sk6)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_333,c_11568]) ).
tcf(c_11582,plain,
ssList(cons(sk6,sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_11581,c_6664,c_255]) ).
tcf(c_11765,plain,
( ( skaf83(sk3) = sk6 )
| ~ ssItem(skaf83(sk3)) ),
inference(superposition,[status(thm)],[c_11452,c_6663]) ).
tcf(c_11766,plain,
skaf83(sk3) = sk6,
inference(forward_subsumption_resolution,[status(thm)],[c_11765,c_259]) ).
tcf(c_11767,plain,
memberP(sk3,sk6),
inference(demodulation,[status(thm)],[c_11452,c_11766]) ).
tcf(c_11768,plain,
cons(sk6,skaf82(sk3)) = sk3,
inference(demodulation,[status(thm)],[c_11126,c_11766]) ).
tcf(c_11804,plain,
app(cons(sk6,nil),sk4) = cons(sk6,sk4),
inference(superposition,[status(thm)],[c_6664,c_11266]) ).
tcf(c_11844,plain,
( ssList(cons(sk6,sk4))
| ~ ssList(sk4)
| ~ ssList(cons(sk6,nil)) ),
inference(superposition,[status(thm)],[c_11804,c_332]) ).
tcf(c_11848,plain,
( rearsegP(cons(sk6,sk4),sk4)
| ~ ssList(sk4)
| ~ ssList(cons(sk6,nil)) ),
inference(superposition,[status(thm)],[c_11804,c_801]) ).
tcf(c_11849,plain,
( ssList(cons(sk6,sk4))
| ~ ssList(cons(sk6,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11844,c_6665]) ).
tcf(c_11852,plain,
( rearsegP(cons(sk6,sk4),sk4)
| ~ ssList(cons(sk6,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11848,c_6665]) ).
tcf(c_11870,plain,
( ssList(cons(sk6,sk4))
| ~ ssItem(sk6)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_333,c_11849]) ).
tcf(c_11871,plain,
ssList(cons(sk6,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_11870,c_6664,c_255]) ).
tcf(c_12988,plain,
( ( app(skaf46(cons(sk6,sk4),sk4),sk4) = cons(sk6,sk4) )
| ~ ssList(sk4)
| ~ ssList(cons(sk6,nil))
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_11852,c_378]) ).
tcf(c_13026,plain,
( ( app(skaf46(cons(sk6,sk4),sk4),sk4) = cons(sk6,sk4) )
| ~ ssList(cons(sk6,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12988,c_6665,c_11871]) ).
tcf(c_15969,plain,
( ( app(skaf46(cons(sk6,sk4),sk4),sk4) = cons(sk6,sk4) )
| ~ ssItem(sk6)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_333,c_13026]) ).
tcf(c_15970,plain,
app(skaf46(cons(sk6,sk4),sk4),sk4) = cons(sk6,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_15969,c_6664,c_255]) ).
tcf(c_16088,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,sk3)) = app(cons(X1,X0),sk3) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6666,c_404]) ).
tcf(c_16997,plain,
! [X0: $i] :
( ( cons(sk6,nil) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,nil))
| ( app(X0,sk4) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_11804,c_398]) ).
tcf(c_17168,plain,
! [X0: $i] :
( ( cons(sk6,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,nil))
| ( app(X0,sk4) != cons(sk6,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16997,c_6665]) ).
tcf(c_19514,plain,
( ( app(skaf42(sk3,sk6),cons(sk6,skaf43(sk6,sk3))) = sk3 )
| ~ ssItem(sk6)
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_11767,c_416]) ).
tcf(c_19516,plain,
app(skaf42(sk3,sk6),cons(sk6,skaf43(sk6,sk3))) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_19514,c_6664,c_6666]) ).
tcf(c_23456,plain,
! [X0: $i] :
( ~ ssItem(sk6)
| ~ ssList(X0)
| ~ ssList(skaf42(sk3,sk6))
| ~ ssList(skaf43(sk6,sk3))
| ~ ssList(app(sk3,cons(sk6,X0)))
| ~ duplicatefreeP(app(app(skaf42(sk3,sk6),cons(sk6,skaf43(sk6,sk3))),cons(sk6,X0))) ),
inference(superposition,[status(thm)],[c_19516,c_426]) ).
tcf(c_23484,plain,
! [X0: $i] :
( ~ ssItem(sk6)
| ~ ssList(X0)
| ~ ssList(skaf42(sk3,sk6))
| ~ ssList(skaf43(sk6,sk3))
| ~ duplicatefreeP(app(sk3,cons(sk6,X0)))
| ~ ssList(app(sk3,cons(sk6,X0))) ),
inference(light_normalisation,[status(thm)],[c_23456,c_19516]) ).
tcf(c_23485,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(sk3,cons(sk6,X0)))
| ~ ssList(app(sk3,cons(sk6,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23484,c_6664,c_300,c_299]) ).
tcf(c_25983,plain,
! [X0: $i] :
( ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(cons(sk6,X0))
| ~ duplicatefreeP(app(sk3,cons(sk6,X0))) ),
inference(superposition,[status(thm)],[c_332,c_23485]) ).
tcf(c_25984,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssList(cons(sk6,X0))
| ~ duplicatefreeP(app(sk3,cons(sk6,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25983,c_6666]) ).
tcf(c_28671,plain,
! [X0: $i] :
( ssList(cons(sk6,X0))
| ~ ssItem(sk6)
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_333]) ).
tcf(c_28672,plain,
( ssList(cons(sk6,nil))
| ~ ssItem(sk6)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_28671]) ).
tcf(c_29023,plain,
! [X0: $i] :
( frontsegP(sk3,cons(sk6,X0))
| ~ ssItem(sk6)
| ~ ssList(X0)
| ~ ssList(skaf82(sk3))
| ~ frontsegP(skaf82(sk3),X0) ),
inference(superposition,[status(thm)],[c_11768,c_425]) ).
tcf(c_29032,plain,
( ~ ssList(skaf82(sk3))
| ~ duplicatefreeP(app(sk3,sk3))
| ~ ssList(cons(sk6,skaf82(sk3))) ),
inference(superposition,[status(thm)],[c_11768,c_25984]) ).
tcf(c_29034,plain,
( ~ ssList(sk3)
| ~ ssList(skaf82(sk3))
| ~ duplicatefreeP(app(sk3,sk3)) ),
inference(light_normalisation,[status(thm)],[c_29032,c_11768]) ).
tcf(c_29035,plain,
~ duplicatefreeP(app(sk3,sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_29034,c_6666,c_260]) ).
tcf(c_29050,plain,
! [X0: $i] :
( frontsegP(sk3,cons(sk6,X0))
| ~ ssList(X0)
| ~ frontsegP(skaf82(sk3),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29023,c_6664,c_260]) ).
tcf(c_29281,plain,
! [X0: $i] :
( ( app(cons(sk6,X0),skaf45(sk3,cons(sk6,X0))) = sk3 )
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ frontsegP(skaf82(sk3),X0)
| ~ ssList(cons(sk6,X0)) ),
inference(superposition,[status(thm)],[c_29050,c_379]) ).
tcf(c_29289,plain,
! [X0: $i] :
( ( app(cons(sk6,X0),skaf45(sk3,cons(sk6,X0))) = sk3 )
| ~ ssList(X0)
| ~ frontsegP(skaf82(sk3),X0)
| ~ ssList(cons(sk6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29281,c_6666]) ).
tcf(c_33498,plain,
! [X0: $i] :
( ( cons(X0,app(sk3,sk3)) = app(cons(X0,sk3),sk3) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_6666,c_16088]) ).
tcf(c_33743,plain,
cons(sk6,app(sk3,sk3)) = app(cons(sk6,sk3),sk3),
inference(superposition,[status(thm)],[c_6664,c_33498]) ).
tcf(c_33847,plain,
( frontsegP(cons(sk6,app(sk3,sk3)),cons(sk6,sk3))
| ~ ssList(sk3)
| ~ ssList(cons(sk6,sk3)) ),
inference(superposition,[status(thm)],[c_33743,c_802]) ).
tcf(c_33870,plain,
frontsegP(cons(sk6,app(sk3,sk3)),cons(sk6,sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_33847,c_6666,c_11582]) ).
tcf(c_34135,plain,
( frontsegP(app(sk3,sk3),sk3)
| ~ ssItem(sk6)
| ~ ssList(sk3)
| ~ ssList(app(sk3,sk3)) ),
inference(superposition,[status(thm)],[c_33870,c_421]) ).
tcf(c_34136,plain,
( frontsegP(app(sk3,sk3),sk3)
| ~ ssList(app(sk3,sk3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34135,c_6664,c_6666]) ).
tcf(c_34320,plain,
( ( app(sk3,skaf45(app(sk3,sk3),sk3)) = app(sk3,sk3) )
| ~ ssList(sk3)
| ~ ssList(app(sk3,sk3)) ),
inference(superposition,[status(thm)],[c_34136,c_379]) ).
tcf(c_34326,plain,
( ( app(sk3,skaf45(app(sk3,sk3),sk3)) = app(sk3,sk3) )
| ~ ssList(app(sk3,sk3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34320,c_6666]) ).
tcf(c_35766,plain,
( ( app(sk3,skaf45(app(sk3,sk3),sk3)) = app(sk3,sk3) )
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_332,c_34326]) ).
tcf(c_35767,plain,
app(sk3,skaf45(app(sk3,sk3),sk3)) = app(sk3,sk3),
inference(forward_subsumption_resolution,[status(thm)],[c_35766,c_6666]) ).
tcf(c_35768,plain,
( ssList(app(sk3,sk3))
| ~ ssList(sk3)
| ~ ssList(skaf45(app(sk3,sk3),sk3)) ),
inference(superposition,[status(thm)],[c_35767,c_332]) ).
tcf(c_35788,plain,
ssList(app(sk3,sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_35768,c_6666,c_298]) ).
tcf(c_35908,plain,
( duplicatefreeP(app(sk3,sk3))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_35788,c_6655]) ).
tcf(c_35910,plain,
~ iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_35908,c_29035]) ).
tcf(c_35962,plain,
iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_6656,c_35910]) ).
tcf(c_35967,plain,
! [X0: $i] : ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_6654,c_35962]) ).
tcf(c_35998,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X0,sk5(X2,X0,X1))
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6660,c_35967]) ).
tcf(c_36045,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(X1,X0)) = X0 )
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_343,c_35967]) ).
tcf(c_36047,plain,
! [X0: $i] : ~ memberP(nil,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_318,c_35967]) ).
tcf(c_43751,plain,
! [X0: $i] :
( ( cons(sk6,nil) = X0 )
| ~ ssList(X0)
| ( app(X0,sk4) != cons(sk6,sk4) ) ),
inference(global_subsumption_just,[status(thm)],[c_17168,c_443,c_255,c_17168,c_28672]) ).
tcf(c_43761,plain,
( ( skaf46(cons(sk6,sk4),sk4) = cons(sk6,nil) )
| ~ ssList(skaf46(cons(sk6,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_15970,c_43751]) ).
tcf(c_43773,plain,
skaf46(cons(sk6,sk4),sk4) = cons(sk6,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_43761,c_297]) ).
tcf(c_52611,plain,
! [X0: $i,X1: $i] : tl(cons(X0,skaf82(X1))) = skaf82(X1),
inference(superposition,[status(thm)],[c_260,c_36045]) ).
tcf(c_52980,plain,
skaf82(sk3) = tl(sk3),
inference(superposition,[status(thm)],[c_11768,c_52611]) ).
tcf(c_53137,plain,
frontsegP(tl(sk3),nil),
inference(superposition,[status(thm)],[c_52980,c_10055]) ).
tcf(c_55852,plain,
! [X0: $i] :
( ( app(cons(sk6,X0),skaf45(sk3,cons(sk6,X0))) = sk3 )
| ~ ssList(X0)
| ~ frontsegP(skaf82(sk3),X0) ),
inference(global_subsumption_just,[status(thm)],[c_29289,c_443,c_28671,c_29289]) ).
tcf(c_55855,plain,
! [X0: $i] :
( ( app(cons(sk6,X0),skaf45(sk3,cons(sk6,X0))) = sk3 )
| ~ ssList(X0)
| ~ frontsegP(tl(sk3),X0) ),
inference(light_normalisation,[status(thm)],[c_55852,c_52980]) ).
tcf(c_55867,plain,
( ( app(cons(sk6,nil),skaf45(sk3,cons(sk6,nil))) = sk3 )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_53137,c_55855]) ).
tcf(c_55869,plain,
app(cons(sk6,nil),skaf45(sk3,cons(sk6,nil))) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_55867,c_255]) ).
tcf(c_56028,plain,
app(nil,cons(sk6,nil)) = cons(sk6,nil),
inference(superposition,[status(thm)],[c_43773,c_9612]) ).
tcf(c_62348,plain,
! [X0: $i] :
( memberP(nil,sk5(X0,nil,sk6))
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(cons(sk6,nil),X0) != sk3 ) ),
inference(superposition,[status(thm)],[c_56028,c_35998]) ).
tcf(c_62380,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( app(cons(sk6,nil),X0) != sk3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62348,c_36047,c_255]) ).
tcf(c_124775,plain,
~ ssList(skaf45(sk3,cons(sk6,nil))),
inference(superposition,[status(thm)],[c_55869,c_62380]) ).
tcf(c_124776,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_124775,c_298]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC240-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 17:10:18 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 49.66/8.88 % SZS status Started for theBenchmark.p
% 49.66/8.88 % SZS status Unsatisfiable for theBenchmark.p
% 49.66/8.88
% 49.66/8.88 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 49.66/8.88
% 49.66/8.88 % ------ iProver source info
% 49.66/8.88
% 49.66/8.88 % git: date: 2026-07-19 20:42:38 +0200
% 49.66/8.88 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 49.66/8.88 % git: non_committed_changes: false
% 49.66/8.88
% 49.66/8.88 % ------ Parsing...% successful
% 49.66/8.88
% 49.66/8.88
% 49.66/8.88 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 49.66/8.88
% 49.66/8.88 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 49.66/8.88
% 49.66/8.88 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 49.66/8.88
% 49.66/8.88 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 49.66/8.88 % ------ Proving...
% 49.66/8.88 % ------ Problem Properties
% 49.66/8.88
% 49.66/8.88 %
% 49.66/8.88 % clauses 187
% 49.66/8.88 % conjectures 10
% 49.66/8.88 % EPR 57
% 49.66/8.88 % Horn 159
% 49.66/8.88 % unary 62
% 49.66/8.88 % binary 21
% 49.66/8.88 % lits 573
% 49.66/8.88 % lits eq 76
% 49.66/8.88 % fd_pure 0
% 49.66/8.88 % fd_pseudo 0
% 49.66/8.88 % fd_cond 16
% 49.66/8.88 % fd_pseudo_cond 14
% 49.66/8.88 % AC symbols 0
% 49.66/8.88
% 49.66/8.88 % ------ Schedule dynamic 5 is on
% 49.66/8.88
% 49.66/8.88 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 49.66/8.88
% 49.66/8.88
% 49.66/8.88 % ------
% 49.66/8.88 % Current options:
% 49.66/8.88 % ------
% 49.66/8.88
% 49.66/8.88
% 49.66/8.88 %
% 49.66/8.88
% 49.66/8.88 % ------ Proving...
% 49.66/8.88 %
% 49.66/8.88
% 49.66/8.88 % SZS status Unsatisfiable for theBenchmark.p
% 49.66/8.88
% 49.66/8.88 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 49.66/8.89
% 49.66/8.89
%------------------------------------------------------------------------------