%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC311-1 : 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 : n006.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 03:09:15 PM UTC 2026
% Result : Unsatisfiable 8.40s 3.71s
% Output : CNFRefutation 8.40s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f236ERROR: Could not build tree for root c_41295ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f75,axiom,
! [X0] :
( nil = X0
| ssList(tl(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause75) ).
fof(f76,axiom,
! [X0] :
( nil = X0
| ssItem(hd(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause76) ).
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(f98,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
fof(f99,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil != cons(X0,X1) ),
inference(reorient_equations,[],[f98]) ).
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(f123,axiom,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1) ),
inference(reorient_equations,[],[f123]) ).
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(f129,axiom,
! [X0,X1] :
( hd(app(X1,X0)) = hd(X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause123) ).
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(f208,negated_conjecture,
( neq(sk2,nil)
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
! [X0,X1] :
( app(X1,cons(X0,nil)) != sk1
| app(cons(X0,nil),X1) != sk2
| ~ ssList(X1)
| ~ ssItem(X0)
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
! [X0,X1] :
( sk1 != app(X1,cons(X0,nil))
| app(cons(X0,nil),X1) != sk2
| ~ ssList(X1)
| ~ ssItem(X0)
| nil = sk2 ),
inference(reorient_equations,[],[f209]) ).
fof(f211,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f212,negated_conjecture,
! [X0,X1] :
( app(X1,cons(X0,nil)) != sk1
| app(cons(X0,nil),X1) != sk2
| ~ ssList(X1)
| ~ ssItem(X0)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
! [X0,X1] :
( sk1 != app(X1,cons(X0,nil))
| app(cons(X0,nil),X1) != sk2
| ~ ssList(X1)
| ~ ssItem(X0)
| nil != sk1 ),
inference(reorient_equations,[],[f212]) ).
fof(f216,plain,
( neq(sk4,nil)
| nil = sk4 ),
inference(definition_unfolding,[],[f208,f204,f204]) ).
fof(f217,plain,
! [X0,X1] :
( sk3 != app(X1,cons(X0,nil))
| app(cons(X0,nil),X1) != sk4
| ~ ssList(X1)
| ~ ssItem(X0)
| nil = sk4 ),
inference(definition_unfolding,[],[f210,f204,f204,f205]) ).
fof(f218,plain,
( neq(sk4,nil)
| nil != sk3 ),
inference(definition_unfolding,[],[f211,f205,f204]) ).
fof(f219,plain,
! [X0,X1] :
( sk3 != app(X1,cons(X0,nil))
| app(cons(X0,nil),X1) != sk4
| ~ ssList(X1)
| ~ ssItem(X0)
| nil != sk3 ),
inference(definition_unfolding,[],[f213,f205,f204,f205]) ).
tcf(c_248,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_249,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_250,negated_conjecture,
( ( sk3 = nil )
| ( sk4 != nil ) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_251,negated_conjecture,
( ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(app(tl(sk4),cons(hd(sk4),nil))) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_252,negated_conjecture,
( neq(sk4,nil)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_253,negated_conjecture,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( app(X1,cons(X0,nil)) != sk3 )
| ( app(cons(X0,nil),X1) != sk4 ) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_254,negated_conjecture,
( neq(sk4,nil)
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_255,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( sk3 != nil )
| ( app(X1,cons(X0,nil)) != sk3 )
| ( app(cons(X0,nil),X1) != sk4 ) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_258,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_260,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_263,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_265,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_276,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_279,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_280,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(X1,X0)) = X0 )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_282,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_287,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( hd(app(X1,X0)) = hd(X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_290,plain,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_345,negated_conjecture,
neq(sk4,nil),
inference(global_subsumption_just,[status(thm)],[c_252,c_252,c_254,c_250]) ).
tcf(c_347,negated_conjecture,
neq(sk4,nil),
inference(global_subsumption_just,[status(thm)],[c_254,c_345]) ).
tcf(c_355,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X0,nil),X1) != sk4 )
| ( app(X1,cons(X0,nil)) != sk3 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_253,c_250,c_253,c_255]) ).
tcf(c_356,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( app(X1,cons(X0,nil)) != sk3 )
| ( app(cons(X0,nil),X1) != sk4 ) ),
inference(renaming,[status(thm)],[c_355]) ).
tcf(c_358,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( app(cons(X0,nil),X1) != sk4 )
| ( app(X1,cons(X0,nil)) != sk3 ) ),
inference(global_subsumption_just,[status(thm)],[c_255,c_356]) ).
tcf(c_359,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( app(X1,cons(X0,nil)) != sk3 )
| ( app(cons(X0,nil),X1) != sk4 ) ),
inference(renaming,[status(thm)],[c_358]) ).
tcf(c_360,plain,
( ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ neq(nil,sk4)
| ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4)) ),
inference(global_subsumption_just,[status(thm)],[c_251,c_252,c_254,c_250,c_251]) ).
tcf(c_361,negated_conjecture,
( ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(app(tl(sk4),cons(hd(sk4),nil))) ),
inference(renaming,[status(thm)],[c_360]) ).
tcf(c_424,plain,
( ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_361,c_276]) ).
tcf(c_1197,plain,
( ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ( sk4 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_424,c_347]) ).
tcf(c_1235,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_424,c_267]) ).
tcf(c_1236,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil)) ),
inference(unflattening,[status(thm)],[c_1235]) ).
tcf(c_1237,plain,
( ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 ) ),
inference(global_subsumption_just,[status(thm)],[c_1236,c_249,c_263,c_1197,c_1236]) ).
tcf(c_1238,plain,
( ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil)) ),
inference(renaming,[status(thm)],[c_1237]) ).
tcf(c_1251,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( X0 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_347,c_265]) ).
tcf(c_1252,plain,
( ~ ssList(sk4)
| ( sk4 != nil ) ),
inference(unflattening,[status(thm)],[c_1251]) ).
tcf(c_1253,plain,
sk4 != nil,
inference(global_subsumption_just,[status(thm)],[c_1252,c_249,c_1252]) ).
tcf(c_3021,plain,
( ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssList(nil)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_272,c_1238]) ).
tcf(c_3028,plain,
( ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3021,c_263]) ).
tcf(c_3080,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssList(sk4)
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_290,c_3028]) ).
tcf(c_3081,plain,
( ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssList(tl(sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3080,c_1253,c_249]) ).
tcf(c_3088,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_282,c_3081]) ).
tcf(c_3089,plain,
app(tl(sk4),cons(hd(sk4),nil)) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_3088,c_1253,c_249]) ).
tcf(c_3112,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( tl(cons(X1,tl(X0))) = tl(X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_282,c_280]) ).
tcf(c_3341,plain,
( ( sk4 = nil )
| ( cons(hd(sk4),tl(sk4)) = sk4 ) ),
inference(superposition,[status(thm)],[c_249,c_279]) ).
tcf(c_3346,plain,
cons(hd(sk4),tl(sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_3341,c_1253]) ).
tcf(c_3415,plain,
( ssList(tl(sk4))
| ( sk4 = nil )
| ~ ssList(sk4) ),
inference(instantiation,[status(thm)],[c_282]) ).
tcf(c_3427,plain,
( ssItem(hd(sk4))
| ( sk4 = nil )
| ~ ssList(sk4) ),
inference(instantiation,[status(thm)],[c_290]) ).
tcf(c_3572,plain,
( ( cons(hd(sk4),nil) = nil )
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ( sk3 != nil ) ),
inference(superposition,[status(thm)],[c_3089,c_258]) ).
tcf(c_3708,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ( cons(hd(sk4),X0) != nil ) ),
inference(instantiation,[status(thm)],[c_260]) ).
tcf(c_3715,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| ( cons(hd(sk4),nil) != nil ) ),
inference(instantiation,[status(thm)],[c_3708]) ).
tcf(c_3724,plain,
! [X0: $i] :
( ssList(cons(hd(sk4),X0))
| ~ ssList(X0)
| ~ ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_272]) ).
tcf(c_3725,plain,
( ssList(cons(hd(sk4),nil))
| ~ ssList(nil)
| ~ ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_3724]) ).
tcf(c_3851,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(X0,sk3)) = hd(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_248,c_287]) ).
tcf(c_4177,plain,
( ( sk4 = nil )
| ( hd(app(sk4,sk3)) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_249,c_3851]) ).
tcf(c_4186,plain,
hd(app(sk4,sk3)) = hd(sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_4177,c_1253]) ).
tcf(c_4427,plain,
( ssItem(hd(sk4))
| ( app(sk4,sk3) = nil )
| ~ ssList(app(sk4,sk3)) ),
inference(superposition,[status(thm)],[c_4186,c_290]) ).
tcf(c_9637,plain,
ssItem(hd(sk4)),
inference(global_subsumption_just,[status(thm)],[c_4427,c_249,c_1252,c_3427]) ).
tcf(c_38403,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( tl(cons(X0,tl(sk4))) = tl(sk4) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_249,c_3112]) ).
tcf(c_38443,plain,
! [X0: $i] :
( ( tl(cons(X0,tl(sk4))) = tl(sk4) )
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38403,c_1253]) ).
tcf(c_38722,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(hd(X0),tl(sk4))) = tl(sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_290,c_38443]) ).
tcf(c_39780,plain,
( ( sk3 = nil )
| ( tl(cons(hd(sk3),tl(sk4))) = tl(sk4) ) ),
inference(superposition,[status(thm)],[c_248,c_38722]) ).
tcf(c_39985,plain,
tl(cons(hd(sk3),tl(sk4))) = tl(sk4),
inference(global_subsumption_just,[status(thm)],[c_39780,c_249,c_263,c_1252,c_3415,c_3427,c_3572,c_3715,c_3725,c_39780]) ).
tcf(c_39988,plain,
( ssList(tl(sk4))
| ( cons(hd(sk3),tl(sk4)) = nil )
| ~ ssList(cons(hd(sk3),tl(sk4))) ),
inference(superposition,[status(thm)],[c_39985,c_282]) ).
tcf(c_40517,plain,
ssList(tl(sk4)),
inference(global_subsumption_just,[status(thm)],[c_39988,c_249,c_1252,c_3415]) ).
tcf(c_40576,plain,
! [X0: $i] :
( ( app(cons(X0,nil),tl(sk4)) = cons(X0,tl(sk4)) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_40517,c_257]) ).
tcf(c_40874,plain,
app(cons(hd(sk4),nil),tl(sk4)) = cons(hd(sk4),tl(sk4)),
inference(superposition,[status(thm)],[c_9637,c_40576]) ).
tcf(c_40878,plain,
app(cons(hd(sk4),nil),tl(sk4)) = sk4,
inference(light_normalisation,[status(thm)],[c_40874,c_3346]) ).
tcf(c_41284,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ( app(tl(sk4),cons(hd(sk4),nil)) != sk3 ) ),
inference(superposition,[status(thm)],[c_40878,c_359]) ).
tcf(c_41294,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(ground_joinability,[status(thm)],[c_41284,c_3089]) ).
tcf(c_41295,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_41294,c_9637,c_40517]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC311-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.34 % Computer : n006.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Thu Sep 24 17:33:56 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 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
% 0.12/0.39
% 0.12/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.39
% 0.12/0.39 % Detected problem language: tptp
% 0.12/0.40 % Proving...
% 8.40/3.71 % SZS status Started for theBenchmark.p
% 8.40/3.71 % SZS status Unsatisfiable for theBenchmark.p
% 8.40/3.71
% 8.40/3.71 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.40/3.71
% 8.40/3.71 % ------ iProver source info
% 8.40/3.71
% 8.40/3.71 % git: date: 2026-07-19 20:42:38 +0200
% 8.40/3.71 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.40/3.71 % git: non_committed_changes: false
% 8.40/3.71
% 8.40/3.71 % ------ Parsing...% successful
% 8.40/3.71
% 8.40/3.71
% 8.40/3.71 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.40/3.71
% 8.40/3.71 % ------ 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 %
% 8.40/3.71
% 8.40/3.71 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.40/3.71
% 8.40/3.71 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.40/3.71 % ------ Proving...
% 8.40/3.71 % ------ Problem Properties
% 8.40/3.71
% 8.40/3.71 %
% 8.40/3.71 % clauses 51
% 8.40/3.71 % conjectures 3
% 8.40/3.71 % EPR 15
% 8.40/3.71 % Horn 38
% 8.40/3.71 % unary 7
% 8.40/3.71 % binary 6
% 8.40/3.71 % lits 194
% 8.40/3.71 % lits eq 47
% 8.40/3.71 % fd_pure 0
% 8.40/3.71 % fd_pseudo 0
% 8.40/3.71 % fd_cond 12
% 8.40/3.71 % fd_pseudo_cond 7
% 8.40/3.71 % AC symbols 0
% 8.40/3.71
% 8.40/3.71 % ------ Schedule dynamic 5 is on
% 8.40/3.71
% 8.40/3.71 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.40/3.71
% 8.40/3.71
% 8.40/3.71 % ------
% 8.40/3.71 % Current options:
% 8.40/3.71 % ------
% 8.40/3.71
% 8.40/3.71
% 8.40/3.71 %
% 8.40/3.71
% 8.40/3.71 % ------ Proving...
% 8.40/3.71 %
% 8.40/3.71
% 8.40/3.71 % SZS status Unsatisfiable for theBenchmark.p
% 8.40/3.71
% 8.40/3.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.40/3.72
% 8.40/3.72
%------------------------------------------------------------------------------