%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC083-1 : 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 : 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 03:07:49 PM UTC 2026
% Result : Unsatisfiable 4.92s 2.29s
% Output : CNFRefutation 4.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 24
% Syntax : Number of formulae : 115 ( 55 unt; 3 def)
% Number of atoms : 345 ( 44 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 329 ( 168 ~; 161 |; 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 : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 71 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f101,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/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(f143,axiom,
! [X0,X1] :
( app(X1,skaf45(X0,X1)) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).
fof(f148,axiom,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause137) ).
fof(f155,axiom,
! [X2,X0,X1] :
( frontsegP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause144) ).
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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
app(app(sk5,sk6),sk7) = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,plain,
sk3 = app(app(sk5,sk6),sk7),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
app(sk5,sk7) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f214,plain,
sk4 = app(sk5,sk7),
inference(reorient_equations,[],[f213]) ).
fof(f217,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f218,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f230,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f155]) ).
fof(f233,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_254,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_297,plain,
! [X0: $i,X1: $i] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[],[f51]) ).
tcf(c_319,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_320,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_331,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_346,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i] :
( ( app(X1,skaf45(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_383,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_390,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_419,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,[],[f233]) ).
tcf(c_434,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_435,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_436,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f217]) ).
tcf(c_437,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_438,negated_conjecture,
ssList(sk5),
inference(cnf_transformation,[],[f208]) ).
tcf(c_439,negated_conjecture,
ssList(sk6),
inference(cnf_transformation,[],[f209]) ).
tcf(c_440,negated_conjecture,
ssList(sk7),
inference(cnf_transformation,[],[f210]) ).
tcf(c_441,negated_conjecture,
app(app(sk5,sk6),sk7) = sk3,
inference(cnf_transformation,[],[f212]) ).
tcf(c_442,negated_conjecture,
app(sk5,sk7) = sk4,
inference(cnf_transformation,[],[f214]) ).
tcf(c_802,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_390,c_331]) ).
tcf(c_2985,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_437,c_346]) ).
tcf(c_2986,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(unflattening,[status(thm)],[c_2985]) ).
tcf(c_2988,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2986,c_254,c_2986]) ).
tcf(c_2989,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(renaming,[status(thm)],[c_2988]) ).
tcf(c_3002,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ( nil != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_437,c_436]) ).
tcf(c_3003,plain,
( ~ ssList(sk4)
| ~ segmentP(sk4,sk4)
| ~ segmentP(sk3,sk4) ),
inference(unflattening,[status(thm)],[c_3002]) ).
tcf(c_3004,plain,
( ~ segmentP(sk3,sk4)
| ~ segmentP(sk4,sk4) ),
inference(global_subsumption_just,[status(thm)],[c_3003,c_435,c_3003]) ).
tcf(c_3005,plain,
( ~ segmentP(sk4,sk4)
| ~ segmentP(sk3,sk4) ),
inference(renaming,[status(thm)],[c_3004]) ).
tcf(c_6553,definition,
iPr_def_12 = app(sk5,sk7),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6554,definition,
iPr_def_13 = app(sk5,sk6),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_6555,definition,
iPr_def_14 = app(iPr_def_13,sk7),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_6557,plain,
( ~ segmentP(sk4,sk4)
| ~ segmentP(sk3,sk4) ),
inference(demodulation,[status(thm)],[c_3005]) ).
tcf(c_6558,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(demodulation,[status(thm)],[c_2989]) ).
tcf(c_6559,negated_conjecture,
iPr_def_12 = sk4,
inference(demodulation,[status(thm)],[c_442,c_6553]) ).
tcf(c_6560,negated_conjecture,
iPr_def_14 = sk3,
inference(demodulation,[status(thm)],[c_441,c_6554,c_6555]) ).
tcf(c_6561,negated_conjecture,
ssList(sk7),
inference(demodulation,[status(thm)],[c_440]) ).
tcf(c_6562,negated_conjecture,
ssList(sk6),
inference(demodulation,[status(thm)],[c_439]) ).
tcf(c_6563,negated_conjecture,
ssList(sk5),
inference(demodulation,[status(thm)],[c_438]) ).
tcf(c_6564,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_435]) ).
tcf(c_6565,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_434]) ).
tcf(c_9098,plain,
ssList(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_6564,c_6559]) ).
tcf(c_9099,plain,
ssList(iPr_def_14),
inference(light_normalisation,[status(thm)],[c_6565,c_6560]) ).
tcf(c_9101,plain,
( ~ segmentP(iPr_def_14,iPr_def_12)
| ~ segmentP(iPr_def_12,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_6557,c_6559,c_6560]) ).
tcf(c_9104,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(iPr_def_14,X0)
| ~ segmentP(iPr_def_12,X0) ),
inference(light_normalisation,[status(thm)],[c_6558,c_6559,c_6560]) ).
tcf(c_9342,plain,
app(sk7,nil) = sk7,
inference(superposition,[status(thm)],[c_6561,c_319]) ).
tcf(c_9372,plain,
app(iPr_def_14,nil) = iPr_def_14,
inference(superposition,[status(thm)],[c_9099,c_319]) ).
tcf(c_9404,plain,
app(nil,sk5) = sk5,
inference(superposition,[status(thm)],[c_6563,c_320]) ).
tcf(c_9406,plain,
app(nil,sk7) = sk7,
inference(superposition,[status(thm)],[c_6561,c_320]) ).
tcf(c_9495,plain,
( ssList(iPr_def_13)
| ~ ssList(sk6)
| ~ ssList(sk5) ),
inference(superposition,[status(thm)],[c_6554,c_331]) ).
tcf(c_9502,plain,
ssList(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_9495,c_6562,c_6563]) ).
tcf(c_9775,plain,
( frontsegP(iPr_def_13,sk5)
| ~ ssList(sk6)
| ~ ssList(sk5) ),
inference(superposition,[status(thm)],[c_6554,c_802]) ).
tcf(c_9812,plain,
frontsegP(iPr_def_13,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_9775,c_6562,c_6563]) ).
tcf(c_13767,plain,
! [X0: $i] :
( frontsegP(iPr_def_14,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_6555,c_383]) ).
tcf(c_13821,plain,
! [X0: $i] :
( frontsegP(iPr_def_14,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13767,c_9502,c_6561]) ).
tcf(c_17869,plain,
( frontsegP(iPr_def_14,sk5)
| ~ ssList(sk5) ),
inference(superposition,[status(thm)],[c_9812,c_13821]) ).
tcf(c_17873,plain,
frontsegP(iPr_def_14,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_17869,c_6563]) ).
tcf(c_17876,plain,
( ( app(sk5,skaf45(iPr_def_14,sk5)) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(sk5) ),
inference(superposition,[status(thm)],[c_17873,c_378]) ).
tcf(c_17881,plain,
app(sk5,skaf45(iPr_def_14,sk5)) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_17876,c_9099,c_6563]) ).
tcf(c_20700,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),sk7)
| ~ ssList(iPr_def_13)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_13,sk7),X0)) ),
inference(superposition,[status(thm)],[c_6555,c_419]) ).
tcf(c_20730,plain,
! [X0: $i] :
( segmentP(app(sk5,X0),sk5)
| ~ ssList(sk5)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sk5),X0)) ),
inference(superposition,[status(thm)],[c_9404,c_419]) ).
tcf(c_20732,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk7)
| ~ ssList(sk7)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sk7),X0)) ),
inference(superposition,[status(thm)],[c_9406,c_419]) ).
tcf(c_20771,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk7)
| ~ ssList(sk7)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0)) ),
inference(light_normalisation,[status(thm)],[c_20732,c_9406]) ).
tcf(c_20772,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20771,c_6561,c_254]) ).
tcf(c_20781,plain,
! [X0: $i] :
( segmentP(app(sk5,X0),sk5)
| ~ ssList(sk5)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sk5,X0)) ),
inference(light_normalisation,[status(thm)],[c_20730,c_9404]) ).
tcf(c_20782,plain,
! [X0: $i] :
( segmentP(app(sk5,X0),sk5)
| ~ ssList(X0)
| ~ ssList(app(sk5,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20781,c_6563,c_254]) ).
tcf(c_20811,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),sk7)
| ~ ssList(iPr_def_13)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_14,X0)) ),
inference(light_normalisation,[status(thm)],[c_20700,c_6555]) ).
tcf(c_20812,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20811,c_9502,c_6561]) ).
tcf(c_23978,plain,
( segmentP(sk7,sk7)
| ~ ssList(nil)
| ~ ssList(app(sk7,nil)) ),
inference(superposition,[status(thm)],[c_9342,c_20772]) ).
tcf(c_23982,plain,
( segmentP(sk7,sk7)
| ~ ssList(sk7)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_23978,c_9342]) ).
tcf(c_23983,plain,
segmentP(sk7,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_23982,c_6561,c_254]) ).
tcf(c_24550,plain,
( segmentP(iPr_def_12,sk5)
| ~ ssList(sk7)
| ~ ssList(app(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_6553,c_20782]) ).
tcf(c_24554,plain,
( segmentP(iPr_def_14,sk5)
| ~ ssList(skaf45(iPr_def_14,sk5))
| ~ ssList(app(sk5,skaf45(iPr_def_14,sk5))) ),
inference(superposition,[status(thm)],[c_17881,c_20782]) ).
tcf(c_24560,plain,
( segmentP(iPr_def_12,sk5)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7) ),
inference(light_normalisation,[status(thm)],[c_24550,c_6553]) ).
tcf(c_24561,plain,
segmentP(iPr_def_12,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_24560,c_9098,c_6561]) ).
tcf(c_24564,plain,
( segmentP(iPr_def_14,sk5)
| ~ ssList(iPr_def_14)
| ~ ssList(skaf45(iPr_def_14,sk5)) ),
inference(light_normalisation,[status(thm)],[c_24554,c_17881]) ).
tcf(c_24565,plain,
segmentP(iPr_def_14,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_24564,c_9099,c_297]) ).
tcf(c_24871,plain,
( ( nil = sk5 )
| ~ ssList(sk5)
| ~ segmentP(iPr_def_12,sk5) ),
inference(superposition,[status(thm)],[c_24565,c_9104]) ).
tcf(c_24872,plain,
nil = sk5,
inference(forward_subsumption_resolution,[status(thm)],[c_24871,c_6563,c_24561]) ).
tcf(c_24941,plain,
app(nil,sk7) = iPr_def_12,
inference(demodulation,[status(thm)],[c_6553,c_24872]) ).
tcf(c_24943,plain,
sk7 = iPr_def_12,
inference(demodulation,[status(thm)],[c_9406,c_24941]) ).
tcf(c_24945,plain,
segmentP(iPr_def_12,iPr_def_12),
inference(demodulation,[status(thm)],[c_23983,c_24943]) ).
tcf(c_25028,plain,
~ segmentP(iPr_def_14,iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_9101,c_24945]) ).
tcf(c_25247,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),iPr_def_12)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_14,X0)) ),
inference(light_normalisation,[status(thm)],[c_20812,c_24943]) ).
tcf(c_25257,plain,
( segmentP(iPr_def_14,iPr_def_12)
| ~ ssList(nil)
| ~ ssList(app(iPr_def_14,nil)) ),
inference(superposition,[status(thm)],[c_9372,c_25247]) ).
tcf(c_25261,plain,
( segmentP(iPr_def_14,iPr_def_12)
| ~ ssList(iPr_def_14)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_25257,c_9372]) ).
tcf(c_25262,plain,
segmentP(iPr_def_14,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_25261,c_9099,c_254]) ).
tcf(c_25278,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_25262,c_25028]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC083-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n011.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 16:17:43 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 4.92/2.29 % SZS status Started for theBenchmark.p
% 4.92/2.29 % SZS status Unsatisfiable for theBenchmark.p
% 4.92/2.29
% 4.92/2.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.92/2.29
% 4.92/2.29 % ------ iProver source info
% 4.92/2.29
% 4.92/2.29 % git: date: 2026-07-19 20:42:38 +0200
% 4.92/2.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.92/2.29 % git: non_committed_changes: false
% 4.92/2.29
% 4.92/2.29 % ------ Parsing...% successful
% 4.92/2.29
% 4.92/2.29
% 4.92/2.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.92/2.29
% 4.92/2.29 % ------ 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 %
% 4.92/2.29
% 4.92/2.29 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.92/2.29
% 4.92/2.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.92/2.29 % ------ Proving...
% 4.92/2.29 % ------ Problem Properties
% 4.92/2.29
% 4.92/2.29 %
% 4.92/2.29 % clauses 190
% 4.92/2.29 % conjectures 7
% 4.92/2.29 % EPR 62
% 4.92/2.29 % Horn 162
% 4.92/2.29 % unary 69
% 4.92/2.29 % binary 22
% 4.92/2.29 % lits 558
% 4.92/2.29 % lits eq 76
% 4.92/2.29 % fd_pure 0
% 4.92/2.29 % fd_pseudo 0
% 4.92/2.29 % fd_cond 16
% 4.92/2.29 % fd_pseudo_cond 14
% 4.92/2.29 % AC symbols 0
% 4.92/2.29
% 4.92/2.29 % ------ Schedule dynamic 5 is on
% 4.92/2.29
% 4.92/2.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.92/2.29
% 4.92/2.29
% 4.92/2.29 % ------
% 4.92/2.29 % Current options:
% 4.92/2.29 % ------
% 4.92/2.29
% 4.92/2.29
% 4.92/2.29 %
% 4.92/2.29
% 4.92/2.29 % ------ Proving...
% 4.92/2.29 %
% 4.92/2.29
% 4.92/2.29 % SZS status Unsatisfiable for theBenchmark.p
% 4.92/2.29
% 4.92/2.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.92/2.29
% 4.92/2.29
%------------------------------------------------------------------------------