%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC015-1 : 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 : n011.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 03:07:31 PM UTC 2026
% Result : Unsatisfiable 53.98s 19.49s
% Output : CNFRefutation 53.98s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f253ERROR: Could not build tree for root c_108461ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f77,axiom,
! [X0] :
( nil = X0
| ssList(tl(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).
fof(f78,axiom,
! [X0] :
( nil = X0
| ssItem(hd(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause78) ).
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(f107,axiom,
! [X0] :
( nil = X0
| cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
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(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(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(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(f209,negated_conjecture,
! [X0,X1] :
( neq(sk2,nil)
| app(cons(X0,nil),X1) != sk2
| cons(X0,nil) != sk1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
! [X0,X1] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| app(sk3,X1) != X0
| tl(sk4) != X1
| ~ ssList(X1)
| sk4 = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
! [X0,X1] :
( ~ neq(sk4,nil)
| app(cons(X0,nil),X1) != sk2
| cons(X0,nil) != sk1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f217,plain,
! [X0,X1] :
( neq(sk4,nil)
| app(cons(X0,nil),X1) != sk4
| cons(X0,nil) != sk3
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f209,f205,f204,f204]) ).
fof(f218,plain,
! [X0,X1] :
( ~ neq(sk4,nil)
| app(cons(X0,nil),X1) != sk4
| cons(X0,nil) != sk3
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f211,f205,f204]) ).
fof(f230,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f155]) ).
fof(f245,plain,
! [X0] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| app(sk3,tl(sk4)) != X0
| ~ ssList(tl(sk4))
| sk4 = X0
| ~ ssList(X0) ),
inference(equality_resolution,[],[f210]) ).
fof(f246,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4))
| sk4 = app(sk3,tl(sk4))
| ~ ssList(app(sk3,tl(sk4))) ),
inference(equality_resolution,[],[f245]) ).
tcf(c_253,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[],[f51]) ).
tcf(c_319,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_322,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_323,plain,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_330,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_331,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_349,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_360,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_365,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_377,plain,
! [X0: $i,X1: $i] :
( ( app(X1,skaf45(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_389,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_395,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_396,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_423,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,[],[f252]) ).
tcf(c_433,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_434,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_435,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f253]) ).
tcf(c_437,negated_conjecture,
! [X0: $i,X1: $i] :
( neq(sk4,nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,nil) != sk3 )
| ( app(cons(X0,nil),X1) != sk4 ) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_438,negated_conjecture,
( ( app(sk3,tl(sk4)) = sk4 )
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4))
| ~ ssList(app(sk3,tl(sk4))) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_439,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ neq(sk4,nil)
| ( cons(X0,nil) != sk3 )
| ( app(cons(X0,nil),X1) != sk4 ) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_562,plain,
( ( app(sk3,tl(sk4)) = sk4 )
| ~ neq(nil,sk4)
| ~ ssList(app(sk3,tl(sk4)))
| ~ ssList(tl(sk4)) ),
inference(global_subsumption_just,[status(thm)],[c_438,c_435,c_438]) ).
tcf(c_563,negated_conjecture,
( ( app(sk3,tl(sk4)) = sk4 )
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4))
| ~ ssList(app(sk3,tl(sk4))) ),
inference(renaming,[status(thm)],[c_562]) ).
tcf(c_564,negated_conjecture,
neq(sk4,nil),
inference(global_subsumption_just,[status(thm)],[c_437,c_435]) ).
tcf(c_566,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( app(cons(X0,nil),X1) != sk4 )
| ( cons(X0,nil) != sk3 ) ),
inference(global_subsumption_just,[status(thm)],[c_439,c_435,c_439]) ).
tcf(c_567,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,nil) != sk3 )
| ( app(cons(X0,nil),X1) != sk4 ) ),
inference(renaming,[status(thm)],[c_566]) ).
tcf(c_799,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_389,c_330]) ).
tcf(c_2998,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( X0 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_564,c_360]) ).
tcf(c_2999,plain,
( ~ ssList(sk4)
| ( sk4 != nil ) ),
inference(unflattening,[status(thm)],[c_2998]) ).
tcf(c_3000,plain,
sk4 != nil,
inference(global_subsumption_just,[status(thm)],[c_2999,c_434,c_2999]) ).
tcf(c_3024,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( app(sk3,tl(sk4)) = sk4 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sk4))
| ~ ssList(app(sk3,tl(sk4)))
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_563,c_345]) ).
tcf(c_3025,plain,
( ( sk4 = nil )
| ( app(sk3,tl(sk4)) = sk4 )
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(tl(sk4))
| ~ ssList(app(sk3,tl(sk4))) ),
inference(unflattening,[status(thm)],[c_3024]) ).
tcf(c_3026,plain,
( ~ ssList(app(sk3,tl(sk4)))
| ~ ssList(tl(sk4))
| ( app(sk3,tl(sk4)) = sk4 ) ),
inference(global_subsumption_just,[status(thm)],[c_3025,c_434,c_253,c_2999,c_3025]) ).
tcf(c_3027,plain,
( ( app(sk3,tl(sk4)) = sk4 )
| ~ ssList(tl(sk4))
| ~ ssList(app(sk3,tl(sk4))) ),
inference(renaming,[status(thm)],[c_3026]) ).
tcf(c_6556,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_9058,plain,
( ssList(tl(sk4))
| ( sk4 = nil )
| ~ ssList(sk4) ),
inference(instantiation,[status(thm)],[c_322]) ).
tcf(c_9059,plain,
( ssItem(hd(sk4))
| ( sk4 = nil )
| ~ ssList(sk4) ),
inference(instantiation,[status(thm)],[c_323]) ).
tcf(c_9086,plain,
( ( sk4 = nil )
| ( cons(hd(sk4),tl(sk4)) = sk4 )
| ~ ssList(sk4) ),
inference(instantiation,[status(thm)],[c_349]) ).
tcf(c_9191,plain,
! [X0: $i,X1: $i] :
( ( cons(X0,nil) = sk3 )
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ ssList(cons(X0,nil))
| ( app(cons(X0,nil),X1) != app(sk3,X1) ) ),
inference(instantiation,[status(thm)],[c_396]) ).
tcf(c_9225,plain,
( ( app(sk3,tl(sk4)) = sk4 )
| ~ ssList(app(sk3,tl(sk4))) ),
inference(global_subsumption_just,[status(thm)],[c_3027,c_434,c_2999,c_3027,c_9058]) ).
tcf(c_9543,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(cons(X0,nil),X1) = app(sk3,X1) )
| ( app(sk3,X1) != X2 )
| ( app(cons(X0,nil),X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_6556]) ).
tcf(c_9681,plain,
( ssList(app(sk3,tl(sk4)))
| ~ ssList(sk3)
| ~ ssList(tl(sk4)) ),
inference(instantiation,[status(thm)],[c_330]) ).
tcf(c_9790,plain,
( ( app(sk3,tl(sk4)) = sk4 )
| ~ ssList(sk3)
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_330,c_9225]) ).
tcf(c_9791,plain,
( ( app(sk3,tl(sk4)) = sk4 )
| ~ ssList(tl(sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9790,c_433]) ).
tcf(c_9816,plain,
app(sk3,tl(sk4)) = sk4,
inference(global_subsumption_just,[status(thm)],[c_9791,c_434,c_433,c_2999,c_3027,c_9058,c_9681]) ).
tcf(c_9906,plain,
( frontsegP(sk4,sk3)
| ~ ssList(sk3)
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_9816,c_799]) ).
tcf(c_9934,plain,
( frontsegP(sk4,sk3)
| ~ ssList(tl(sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9906,c_433]) ).
tcf(c_12505,plain,
! [X0: $i] :
( ssList(cons(hd(sk4),X0))
| ~ ssList(X0)
| ~ ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_331]) ).
tcf(c_12506,plain,
( ssList(cons(hd(sk4),nil))
| ~ ssList(nil)
| ~ ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_12505]) ).
tcf(c_13847,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(sk3,X0) = X2 )
| ( X2 != X1 )
| ( app(sk3,X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_6556]) ).
tcf(c_14550,plain,
app(sk3,tl(sk4)) = sk4,
inference(global_subsumption_just,[status(thm)],[c_3027,c_434,c_433,c_2999,c_3027,c_9058,c_9681]) ).
tcf(c_18670,plain,
! [X0: $i] :
( ( tl(sk4) = X0 )
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(tl(sk4))
| ( app(sk3,X0) != sk4 ) ),
inference(superposition,[status(thm)],[c_14550,c_395]) ).
tcf(c_18718,plain,
! [X0: $i] :
( ( tl(sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(tl(sk4))
| ( app(sk3,X0) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18670,c_433]) ).
tcf(c_29966,plain,
! [X0: $i] :
( ( app(sk3,tl(sk4)) = X0 )
| ( X0 != sk4 )
| ( app(sk3,tl(sk4)) != sk4 ) ),
inference(instantiation,[status(thm)],[c_13847]) ).
tcf(c_30118,plain,
! [X0: $i] :
( ( app(cons(hd(sk4),nil),X0) = cons(hd(sk4),X0) )
| ~ ssList(X0)
| ~ ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_365]) ).
tcf(c_36859,plain,
! [X0: $i] :
( ( app(cons(hd(sk4),nil),X0) = app(sk3,X0) )
| ( app(sk3,X0) != cons(hd(sk4),X0) )
| ( app(cons(hd(sk4),nil),X0) != cons(hd(sk4),X0) ) ),
inference(instantiation,[status(thm)],[c_9543]) ).
tcf(c_38517,plain,
app(sk3,tl(sk4)) = sk4,
inference(global_subsumption_just,[status(thm)],[c_3027,c_434,c_433,c_2999,c_3027,c_9058,c_9681]) ).
tcf(c_38807,plain,
( frontsegP(sk4,sk3)
| ~ ssList(sk3)
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_38517,c_799]) ).
tcf(c_38819,plain,
( frontsegP(sk4,sk3)
| ~ ssList(tl(sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38807,c_433]) ).
tcf(c_38823,plain,
frontsegP(sk4,sk3),
inference(global_subsumption_just,[status(thm)],[c_38819,c_434,c_2999,c_9058,c_9934]) ).
tcf(c_39095,plain,
( ( sk4 = nil )
| ( cons(hd(sk4),tl(sk4)) = sk4 ) ),
inference(superposition,[status(thm)],[c_434,c_349]) ).
tcf(c_39127,plain,
cons(hd(sk4),tl(sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_39095,c_3000]) ).
tcf(c_39648,plain,
( ( app(sk3,skaf45(sk4,sk3)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_38823,c_377]) ).
tcf(c_39658,plain,
app(sk3,skaf45(sk4,sk3)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_39648,c_434,c_433]) ).
tcf(c_40359,plain,
! [X0: $i] :
( frontsegP(sk4,cons(hd(sk4),X0))
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ frontsegP(tl(sk4),X0) ),
inference(superposition,[status(thm)],[c_39127,c_423]) ).
tcf(c_40597,plain,
! [X0: $i] :
( ( tl(sk4) = X0 )
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(tl(sk4))
| ( app(sk3,X0) != sk4 ) ),
inference(superposition,[status(thm)],[c_38517,c_395]) ).
tcf(c_40641,plain,
! [X0: $i] :
( ( tl(sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(tl(sk4))
| ( app(sk3,X0) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40597,c_433]) ).
tcf(c_45798,plain,
! [X0: $i] :
( ( tl(sk4) = X0 )
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(global_subsumption_just,[status(thm)],[c_40641,c_434,c_2999,c_9058,c_18718]) ).
tcf(c_45805,plain,
( ( skaf45(sk4,sk3) = tl(sk4) )
| ~ ssList(skaf45(sk4,sk3)) ),
inference(superposition,[status(thm)],[c_39658,c_45798]) ).
tcf(c_45806,plain,
skaf45(sk4,sk3) = tl(sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_45805,c_296]) ).
tcf(c_45905,plain,
ssList(tl(sk4)),
inference(superposition,[status(thm)],[c_45806,c_296]) ).
tcf(c_45943,plain,
! [X0: $i] :
( frontsegP(sk4,cons(hd(sk4),X0))
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ frontsegP(tl(sk4),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_40359,c_45905]) ).
tcf(c_45956,plain,
( frontsegP(sk4,cons(hd(sk4),nil))
| ~ ssList(nil)
| ~ ssItem(hd(sk4))
| ~ frontsegP(tl(sk4),nil) ),
inference(instantiation,[status(thm)],[c_45943]) ).
tcf(c_46029,plain,
app(nil,tl(sk4)) = tl(sk4),
inference(superposition,[status(thm)],[c_45905,c_319]) ).
tcf(c_46100,plain,
( frontsegP(tl(sk4),nil)
| ~ ssList(nil)
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_46029,c_799]) ).
tcf(c_46108,plain,
frontsegP(tl(sk4),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_46100,c_253,c_45905]) ).
tcf(c_53298,plain,
( ( app(cons(hd(sk4),nil),tl(sk4)) = app(sk3,tl(sk4)) )
| ( app(sk3,tl(sk4)) != cons(hd(sk4),tl(sk4)) )
| ( app(cons(hd(sk4),nil),tl(sk4)) != cons(hd(sk4),tl(sk4)) ) ),
inference(instantiation,[status(thm)],[c_36859]) ).
tcf(c_53299,plain,
( ( app(sk3,tl(sk4)) = cons(hd(sk4),tl(sk4)) )
| ( app(sk3,tl(sk4)) != sk4 )
| ( cons(hd(sk4),tl(sk4)) != sk4 ) ),
inference(instantiation,[status(thm)],[c_29966]) ).
tcf(c_58262,plain,
( ( cons(hd(sk4),nil) = sk3 )
| ~ ssList(sk3)
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ( app(cons(hd(sk4),nil),tl(sk4)) != app(sk3,tl(sk4)) ) ),
inference(instantiation,[status(thm)],[c_9191]) ).
tcf(c_60497,plain,
( ( app(cons(hd(sk4),nil),tl(sk4)) = cons(hd(sk4),tl(sk4)) )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(instantiation,[status(thm)],[c_30118]) ).
tcf(c_105548,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ( cons(hd(sk4),nil) != sk3 )
| ( app(cons(hd(sk4),nil),X0) != sk4 ) ),
inference(instantiation,[status(thm)],[c_567]) ).
tcf(c_106620,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(skaf45(sk4,cons(hd(sk4),nil)))
| ( cons(hd(sk4),nil) != sk3 )
| ( app(cons(hd(sk4),nil),skaf45(sk4,cons(hd(sk4),nil))) != sk4 ) ),
inference(instantiation,[status(thm)],[c_105548]) ).
tcf(c_106621,plain,
( ( app(cons(hd(sk4),nil),skaf45(sk4,cons(hd(sk4),nil))) = sk4 )
| ~ ssList(sk4)
| ~ ssList(cons(hd(sk4),nil))
| ~ frontsegP(sk4,cons(hd(sk4),nil)) ),
inference(instantiation,[status(thm)],[c_377]) ).
tcf(c_108460,plain,
ssList(skaf45(sk4,cons(hd(sk4),nil))),
inference(instantiation,[status(thm)],[c_296]) ).
tcf(c_108461,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_108460,c_106621,c_106620,c_60497,c_58262,c_53299,c_53298,c_46108,c_45956,c_12506,c_9681,c_9086,c_9059,c_9058,c_3027,c_2999,c_253,c_433,c_434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC015-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.38 % Computer : n011.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Thu Sep 24 15:55:34 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.42 Running first-order theorem proving
% 0.16/5.42 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
% 0.16/5.44
% 0.16/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.44
% 0.16/5.44 % Detected problem language: tptp
% 0.16/5.45 % Proving...
% 53.98/19.49 % SZS status Started for theBenchmark.p
% 53.98/19.49 % SZS status Unsatisfiable for theBenchmark.p
% 53.98/19.49
% 53.98/19.49 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 53.98/19.49
% 53.98/19.49 % ------ iProver source info
% 53.98/19.49
% 53.98/19.49 % git: date: 2026-07-19 20:42:38 +0200
% 53.98/19.49 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 53.98/19.49 % git: non_committed_changes: false
% 53.98/19.49
% 53.98/19.49 % ------ Parsing...% successful
% 53.98/19.49
% 53.98/19.49
% 53.98/19.49 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 53.98/19.49
% 53.98/19.49 % ------ 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 %
% 53.98/19.49
% 53.98/19.49 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 53.98/19.49
% 53.98/19.49 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 53.98/19.49 % ------ Proving...
% 53.98/19.49 % ------ Problem Properties
% 53.98/19.49
% 53.98/19.49 %
% 53.98/19.49 % clauses 182
% 53.98/19.49 % conjectures 3
% 53.98/19.49 % EPR 55
% 53.98/19.49 % Horn 154
% 53.98/19.49 % unary 61
% 53.98/19.49 % binary 21
% 53.98/19.49 % lits 551
% 53.98/19.49 % lits eq 73
% 53.98/19.49 % fd_pure 0
% 53.98/19.49 % fd_pseudo 0
% 53.98/19.49 % fd_cond 15
% 53.98/19.49 % fd_pseudo_cond 14
% 53.98/19.49 % AC symbols 0
% 53.98/19.49
% 53.98/19.49 % ------ Input Options Time Limit: Unbounded
% 53.98/19.49
% 53.98/19.49
% 53.98/19.49 % ------
% 53.98/19.49 % Current options:
% 53.98/19.49 % ------
% 53.98/19.49
% 53.98/19.49
% 53.98/19.49 %
% 53.98/19.49
% 53.98/19.49 % ------ Proving...
% 53.98/19.49 %
% 53.98/19.49
% 53.98/19.49 % SZS status Unsatisfiable for theBenchmark.p
% 53.98/19.49
% 53.98/19.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 53.98/19.49
% 53.98/19.49
%------------------------------------------------------------------------------