%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC220-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 03:08:55 PM UTC 2026
% Result : Unsatisfiable 3.83s 1.25s
% Output : CNFRefutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 92 ( 22 unt; 3 def)
% Number of atoms : 362 ( 73 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 442 ( 223 ~; 219 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 125 ( 0 sgn 125 !; 0 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X2,X0,X1] :
( ssItem(sk5(X2,X1,X0))
| app(app(X1,cons(X0,nil)),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
! [X2,X0,X1] :
( ssItem(sk5(X2,X1,X0))
| sk1 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f207]) ).
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/sandbox2/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(f211,negated_conjecture,
! [X2,X0,X1] :
( memberP(X2,sk5(X2,X1,X0))
| app(app(X1,cons(X0,nil)),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f212,plain,
! [X2,X0,X1] :
( memberP(X2,sk5(X2,X1,X0))
| sk1 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
! [X2,X0,X1] :
( leq(X0,sk5(X2,X1,X0))
| app(app(X1,cons(X0,nil)),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f214,plain,
! [X2,X0,X1] :
( leq(X0,sk5(X2,X1,X0))
| sk1 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f213]) ).
fof(f215,negated_conjecture,
! [X2,X0,X1] :
( ~ leq(sk5(X2,X1,X0),X0)
| app(app(X1,cons(X0,nil)),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ leq(sk5(X2,X1,X0),X0)
| sk1 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f215]) ).
fof(f217,negated_conjecture,
( ssItem(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f218,negated_conjecture,
( ssList(sk7)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f219,negated_conjecture,
( ssList(sk8)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f220,negated_conjecture,
( app(app(sk7,cons(sk6,nil)),sk8) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f221,plain,
( sk3 = app(app(sk7,cons(sk6,nil)),sk8)
| nil = sk3 ),
inference(reorient_equations,[],[f220]) ).
fof(f222,negated_conjecture,
! [X0] :
( ~ leq(sk6,X0)
| ~ memberP(sk8,X0)
| ~ memberP(sk7,X0)
| leq(X0,sk6)
| ~ ssItem(X0)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f225,plain,
nil != sk3,
inference(definition_unfolding,[],[f206,f205]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ssItem(sk5(X2,X1,X0))
| sk3 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f208,f205]) ).
fof(f227,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(f228,plain,
! [X2,X0,X1] :
( memberP(X2,sk5(X2,X1,X0))
| sk3 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f212,f205]) ).
fof(f229,plain,
! [X2,X0,X1] :
( leq(X0,sk5(X2,X1,X0))
| sk3 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f214,f205]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ leq(sk5(X2,X1,X0),X0)
| sk3 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f216,f205]) ).
tcf(c_440,negated_conjecture,
sk3 != nil,
inference(cnf_transformation,[],[f225]) ).
tcf(c_441,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssItem(sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_442,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,[],[f227]) ).
tcf(c_443,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X2,sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_444,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_445,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(sk5(X2,X0,X1),X1)
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_446,negated_conjecture,
( ssItem(sk6)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_447,negated_conjecture,
( ssList(sk7)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_448,negated_conjecture,
( ssList(sk8)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_449,negated_conjecture,
( ( sk3 = nil )
| ( app(app(sk7,cons(sk6,nil)),sk8) = sk3 ) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_450,negated_conjecture,
! [X0: $i] :
( leq(X0,sk6)
| ( sk3 = nil )
| ~ ssItem(X0)
| ~ leq(sk6,X0)
| ~ memberP(sk8,X0)
| ~ memberP(sk7,X0) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_563,negated_conjecture,
ssList(sk8),
inference(global_subsumption_just,[status(thm)],[c_448,c_440,c_448]) ).
tcf(c_565,negated_conjecture,
ssList(sk7),
inference(global_subsumption_just,[status(thm)],[c_447,c_440,c_447]) ).
tcf(c_567,negated_conjecture,
ssItem(sk6),
inference(global_subsumption_just,[status(thm)],[c_446,c_440,c_446]) ).
tcf(c_581,negated_conjecture,
app(app(sk7,cons(sk6,nil)),sk8) = sk3,
inference(global_subsumption_just,[status(thm)],[c_449,c_440,c_449]) ).
tcf(c_583,plain,
! [X0: $i] :
( leq(X0,sk6)
| ~ memberP(sk7,X0)
| ~ memberP(sk8,X0)
| ~ leq(sk6,X0)
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_450,c_440,c_450]) ).
tcf(c_584,negated_conjecture,
! [X0: $i] :
( leq(X0,sk6)
| ~ ssItem(X0)
| ~ leq(sk6,X0)
| ~ memberP(sk8,X0)
| ~ memberP(sk7,X0) ),
inference(renaming,[status(thm)],[c_583]) ).
tcf(c_6702,definition,
iPr_def_12 = cons(sk6,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6703,definition,
iPr_def_13 = app(sk7,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_6704,definition,
iPr_def_14 = app(iPr_def_13,sk8),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_6705,negated_conjecture,
! [X0: $i] :
( leq(X0,sk6)
| ~ ssItem(X0)
| ~ leq(sk6,X0)
| ~ memberP(sk8,X0)
| ~ memberP(sk7,X0) ),
inference(demodulation,[status(thm)],[c_584]) ).
tcf(c_6706,negated_conjecture,
iPr_def_14 = sk3,
inference(demodulation,[status(thm)],[c_581,c_6702,c_6703,c_6704]) ).
tcf(c_6707,negated_conjecture,
ssItem(sk6),
inference(demodulation,[status(thm)],[c_567]) ).
tcf(c_6708,negated_conjecture,
ssList(sk7),
inference(demodulation,[status(thm)],[c_565]) ).
tcf(c_6709,negated_conjecture,
ssList(sk8),
inference(demodulation,[status(thm)],[c_563]) ).
tcf(c_6710,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(sk5(X2,X0,X1),X1)
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(demodulation,[status(thm)],[c_445]) ).
tcf(c_6711,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(demodulation,[status(thm)],[c_444]) ).
tcf(c_6712,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X2,sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(demodulation,[status(thm)],[c_443]) ).
tcf(c_6713,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_442]) ).
tcf(c_6714,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssItem(sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(demodulation,[status(thm)],[c_441]) ).
tcf(c_9353,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssItem(sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(X0,cons(X1,nil)),X2) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6714,c_6706]) ).
tcf(c_9369,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(X0,cons(X1,nil)),X2) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6711,c_6706]) ).
tcf(c_9385,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X2,sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(X0,cons(X1,nil)),X2) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6712,c_6706]) ).
tcf(c_9401,plain,
! [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) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6713,c_6706]) ).
tcf(c_9417,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(sk5(X2,X0,X1),X1)
| ( app(app(X0,cons(X1,nil)),X2) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6710,c_6706]) ).
tcf(c_9437,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk6)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ leq(sk5(X1,X0,sk6),sk6)
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6702,c_9417]) ).
tcf(c_9438,plain,
! [X0: $i,X1: $i] :
( memberP(X0,sk5(X1,X0,sk6))
| ~ ssItem(sk6)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6702,c_9401]) ).
tcf(c_9439,plain,
! [X0: $i,X1: $i] :
( memberP(X1,sk5(X1,X0,sk6))
| ~ ssItem(sk6)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6702,c_9385]) ).
tcf(c_9440,plain,
! [X0: $i,X1: $i] :
( leq(sk6,sk5(X1,X0,sk6))
| ~ ssItem(sk6)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6702,c_9369]) ).
tcf(c_9441,plain,
! [X0: $i,X1: $i] :
( ssItem(sk5(X1,X0,sk6))
| ~ ssItem(sk6)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6702,c_9353]) ).
tcf(c_9442,plain,
! [X0: $i,X1: $i] :
( ssItem(sk5(X1,X0,sk6))
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9441,c_6707]) ).
tcf(c_9447,plain,
! [X0: $i,X1: $i] :
( leq(sk6,sk5(X1,X0,sk6))
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9440,c_6707]) ).
tcf(c_9452,plain,
! [X0: $i,X1: $i] :
( memberP(X1,sk5(X1,X0,sk6))
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9439,c_6707]) ).
tcf(c_9457,plain,
! [X0: $i,X1: $i] :
( memberP(X0,sk5(X1,X0,sk6))
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9438,c_6707]) ).
tcf(c_9462,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ leq(sk5(X1,X0,sk6),sk6)
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9437,c_6707]) ).
tcf(c_9511,plain,
! [X0: $i] :
( ~ ssList(sk7)
| ~ ssList(X0)
| ~ leq(sk5(X0,sk7,sk6),sk6)
| ( app(iPr_def_13,X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6703,c_9462]) ).
tcf(c_9512,plain,
! [X0: $i] :
( memberP(sk7,sk5(X0,sk7,sk6))
| ~ ssList(sk7)
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6703,c_9457]) ).
tcf(c_9513,plain,
! [X0: $i] :
( memberP(X0,sk5(X0,sk7,sk6))
| ~ ssList(sk7)
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6703,c_9452]) ).
tcf(c_9514,plain,
! [X0: $i] :
( leq(sk6,sk5(X0,sk7,sk6))
| ~ ssList(sk7)
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6703,c_9447]) ).
tcf(c_9515,plain,
! [X0: $i] :
( ssItem(sk5(X0,sk7,sk6))
| ~ ssList(sk7)
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6703,c_9442]) ).
tcf(c_9516,plain,
! [X0: $i] :
( ssItem(sk5(X0,sk7,sk6))
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9515,c_6708]) ).
tcf(c_9520,plain,
! [X0: $i] :
( leq(sk6,sk5(X0,sk7,sk6))
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9514,c_6708]) ).
tcf(c_9524,plain,
! [X0: $i] :
( memberP(X0,sk5(X0,sk7,sk6))
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9513,c_6708]) ).
tcf(c_9528,plain,
! [X0: $i] :
( memberP(sk7,sk5(X0,sk7,sk6))
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9512,c_6708]) ).
tcf(c_9532,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ leq(sk5(X0,sk7,sk6),sk6)
| ( app(iPr_def_13,X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9511,c_6708]) ).
tcf(c_9571,plain,
( ~ ssList(sk8)
| ~ leq(sk5(sk8,sk7,sk6),sk6) ),
inference(superposition,[status(thm)],[c_6704,c_9532]) ).
tcf(c_9572,plain,
( memberP(sk7,sk5(sk8,sk7,sk6))
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_6704,c_9528]) ).
tcf(c_9573,plain,
( memberP(sk8,sk5(sk8,sk7,sk6))
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_6704,c_9524]) ).
tcf(c_9574,plain,
( leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_6704,c_9520]) ).
tcf(c_9575,plain,
( ssItem(sk5(sk8,sk7,sk6))
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_6704,c_9516]) ).
tcf(c_9576,plain,
ssItem(sk5(sk8,sk7,sk6)),
inference(forward_subsumption_resolution,[status(thm)],[c_9575,c_6709]) ).
tcf(c_9577,plain,
leq(sk6,sk5(sk8,sk7,sk6)),
inference(forward_subsumption_resolution,[status(thm)],[c_9574,c_6709]) ).
tcf(c_9578,plain,
memberP(sk8,sk5(sk8,sk7,sk6)),
inference(forward_subsumption_resolution,[status(thm)],[c_9573,c_6709]) ).
tcf(c_9579,plain,
memberP(sk7,sk5(sk8,sk7,sk6)),
inference(forward_subsumption_resolution,[status(thm)],[c_9572,c_6709]) ).
tcf(c_9580,plain,
~ leq(sk5(sk8,sk7,sk6),sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_9571,c_6709]) ).
tcf(c_9581,plain,
( leq(sk5(sk8,sk7,sk6),sk6)
| ~ ssItem(sk5(sk8,sk7,sk6))
| ~ leq(sk6,sk5(sk8,sk7,sk6))
| ~ memberP(sk8,sk5(sk8,sk7,sk6)) ),
inference(superposition,[status(thm)],[c_9579,c_6705]) ).
tcf(c_9582,plain,
leq(sk5(sk8,sk7,sk6),sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_9581,c_9576,c_9577,c_9578]) ).
tcf(c_9583,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9582,c_9580]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC220-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n003.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Thu Sep 24 17:05:08 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 Running first-order theorem proving
% 0.12/0.37 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38
% 0.12/0.38 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.38
% 0.12/0.38 % Detected problem language: tptp
% 0.12/0.40 % Proving...
% 3.83/1.25 % SZS status Started for theBenchmark.p
% 3.83/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 3.83/1.25
% 3.83/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.83/1.25
% 3.83/1.25 % ------ iProver source info
% 3.83/1.25
% 3.83/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 3.83/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.83/1.25 % git: non_committed_changes: false
% 3.83/1.25
% 3.83/1.25 % ------ Parsing...% successful
% 3.83/1.25
% 3.83/1.25
% 3.83/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.83/1.25
% 3.83/1.25 % ------ 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 %
% 3.83/1.25
% 3.83/1.25 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.83/1.25
% 3.83/1.25 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.83/1.25 % ------ Proving...
% 3.83/1.25 % ------ Problem Properties
% 3.83/1.25
% 3.83/1.25 %
% 3.83/1.25 % clauses 193
% 3.83/1.25 % conjectures 13
% 3.83/1.25 % EPR 60
% 3.83/1.25 % Horn 165
% 3.83/1.25 % unary 68
% 3.83/1.25 % binary 21
% 3.83/1.25 % lits 581
% 3.83/1.26 % lits eq 79
% 3.83/1.26 % fd_pure 0
% 3.83/1.26 % fd_pseudo 0
% 3.83/1.26 % fd_cond 15
% 3.83/1.26 % fd_pseudo_cond 14
% 3.83/1.26 % AC symbols 0
% 3.83/1.26
% 3.83/1.26 % ------ Schedule dynamic 5 is on
% 3.83/1.26
% 3.83/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.83/1.26
% 3.83/1.26
% 3.83/1.26 % ------
% 3.83/1.26 % Current options:
% 3.83/1.26 % ------
% 3.83/1.26
% 3.83/1.26
% 3.83/1.26 %
% 3.83/1.26
% 3.83/1.26 % ------ Proving...
% 3.83/1.26 %
% 3.83/1.26
% 3.83/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 3.83/1.26
% 3.83/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.83/1.26
% 3.83/1.26
%------------------------------------------------------------------------------