%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC057-1 : 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 : n017.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 03:07:42 PM UTC 2026
% Result : Unsatisfiable 10.81s 2.27s
% Output : CNFRefutation 10.81s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f245ERROR: Could not build tree for root c_22638ERROR: 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(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f121,axiom,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1) ),
inference(reorient_equations,[],[f121]) ).
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(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/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
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(f207,negated_conjecture,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( neq(sk3,nil)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( frontsegP(sk4,sk3)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
( neq(sk3,nil)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f213,negated_conjecture,
( frontsegP(sk4,sk3)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f217,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk4 ),
inference(definition_unfolding,[],[f207,f204,f204,f205]) ).
fof(f218,plain,
( neq(sk4,nil)
| nil != sk3 ),
inference(definition_unfolding,[],[f208,f205,f204]) ).
fof(f219,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil != sk3 ),
inference(definition_unfolding,[],[f209,f205,f204,f205]) ).
fof(f234,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_255,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_298,plain,
! [X0: $i,X1: $i] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[],[f51]) ).
tcf(c_320,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_321,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_362,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_365,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f122]) ).
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_420,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,[],[f234]) ).
tcf(c_435,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_436,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_438,negated_conjecture,
! [X0: $i] :
( ( sk4 = nil )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_439,negated_conjecture,
( neq(sk4,nil)
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_440,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil)
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_441,negated_conjecture,
( neq(sk3,nil)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_442,negated_conjecture,
( frontsegP(sk4,sk3)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_443,negated_conjecture,
( neq(sk3,nil)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_444,negated_conjecture,
( frontsegP(sk4,sk3)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_3614,plain,
! [X0: $i] :
( ( sk4 = nil )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ( nil != nil )
| ( sk3 != nil )
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_440,c_441]) ).
tcf(c_3615,plain,
( ( sk4 = nil )
| ~ ssList(sk3)
| ~ segmentP(sk4,sk3)
| ~ segmentP(sk3,sk3)
| ( sk3 != nil ) ),
inference(unflattening,[status(thm)],[c_3614]) ).
tcf(c_3616,plain,
( ( sk4 = nil )
| ( sk3 != nil )
| ~ segmentP(sk3,sk3)
| ~ segmentP(sk4,sk3) ),
inference(global_subsumption_just,[status(thm)],[c_3615,c_435,c_3615]) ).
tcf(c_3617,plain,
( ( sk4 = nil )
| ~ segmentP(sk4,sk3)
| ~ segmentP(sk3,sk3)
| ( sk3 != nil ) ),
inference(renaming,[status(thm)],[c_3616]) ).
tcf(c_3630,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( sk3 = nil )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ( nil != nil )
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_438,c_443]) ).
tcf(c_3631,plain,
( ( sk4 = nil )
| ( sk3 = nil )
| ~ ssList(sk3)
| ~ segmentP(sk4,sk3)
| ~ segmentP(sk3,sk3) ),
inference(unflattening,[status(thm)],[c_3630]) ).
tcf(c_3632,plain,
( ( sk4 = nil )
| ~ segmentP(sk4,sk3)
| ~ segmentP(sk3,sk3) ),
inference(global_subsumption_just,[status(thm)],[c_3631,c_435,c_3617,c_3631]) ).
tcf(c_3780,plain,
! [X0: $i] :
( ( sk4 = nil )
| ~ ssList(X0)
| ( X0 != nil )
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_441,c_362]) ).
tcf(c_3781,plain,
( ( sk4 = nil )
| ~ ssList(sk3)
| ( sk3 != nil ) ),
inference(unflattening,[status(thm)],[c_3780]) ).
tcf(c_3810,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( sk3 != nil )
| ( X0 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_362,c_439]) ).
tcf(c_3811,plain,
( ~ ssList(sk4)
| ( sk4 != nil )
| ( sk3 != nil ) ),
inference(unflattening,[status(thm)],[c_3810]) ).
tcf(c_3812,plain,
sk3 != nil,
inference(global_subsumption_just,[status(thm)],[c_3811,c_436,c_435,c_3781,c_3811]) ).
tcf(c_3832,negated_conjecture,
frontsegP(sk4,sk3),
inference(global_subsumption_just,[status(thm)],[c_442,c_444,c_3812]) ).
tcf(c_9705,negated_conjecture,
frontsegP(sk4,sk3),
inference(demodulation,[status(thm)],[c_3832]) ).
tcf(c_9706,plain,
sk3 != nil,
inference(demodulation,[status(thm)],[c_3812]) ).
tcf(c_9709,plain,
( ( sk4 = nil )
| ~ segmentP(sk4,sk3)
| ~ segmentP(sk3,sk3) ),
inference(demodulation,[status(thm)],[c_3632]) ).
tcf(c_9710,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_436]) ).
tcf(c_9711,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_435]) ).
tcf(c_12312,plain,
app(sk3,nil) = sk3,
inference(superposition,[status(thm)],[c_9711,c_320]) ).
tcf(c_12545,plain,
app(nil,sk3) = sk3,
inference(superposition,[status(thm)],[c_9711,c_321]) ).
tcf(c_15647,plain,
( ( app(sk3,skaf45(sk4,sk3)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_9705,c_379]) ).
tcf(c_15685,plain,
app(sk3,skaf45(sk4,sk3)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_15647,c_9710,c_9711]) ).
tcf(c_16308,plain,
( ( sk3 = nil )
| ~ ssList(sk3)
| ~ ssList(skaf45(sk4,sk3))
| ( sk4 != nil ) ),
inference(superposition,[status(thm)],[c_15685,c_365]) ).
tcf(c_16315,plain,
sk4 != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_16308,c_9706,c_9711,c_298]) ).
tcf(c_16336,plain,
( ~ segmentP(sk4,sk3)
| ~ segmentP(sk3,sk3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9709,c_16315]) ).
tcf(c_22157,plain,
! [X0: $i] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sk3),X0)) ),
inference(superposition,[status(thm)],[c_12545,c_420]) ).
tcf(c_22177,plain,
! [X0: $i] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(app(sk3,X0)) ),
inference(light_normalisation,[status(thm)],[c_22157,c_12545]) ).
tcf(c_22178,plain,
! [X0: $i] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0)
| ~ ssList(app(sk3,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22177,c_255,c_9711]) ).
tcf(c_22614,plain,
( segmentP(sk3,sk3)
| ~ ssList(nil)
| ~ ssList(app(sk3,nil)) ),
inference(superposition,[status(thm)],[c_12312,c_22178]) ).
tcf(c_22615,plain,
( segmentP(sk4,sk3)
| ~ ssList(skaf45(sk4,sk3))
| ~ ssList(app(sk3,skaf45(sk4,sk3))) ),
inference(superposition,[status(thm)],[c_15685,c_22178]) ).
tcf(c_22619,plain,
( segmentP(sk3,sk3)
| ~ ssList(nil)
| ~ ssList(sk3) ),
inference(light_normalisation,[status(thm)],[c_22614,c_12312]) ).
tcf(c_22620,plain,
segmentP(sk3,sk3),
inference(forward_subsumption_resolution,[status(thm)],[c_22619,c_255,c_9711]) ).
tcf(c_22621,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(skaf45(sk4,sk3)) ),
inference(light_normalisation,[status(thm)],[c_22615,c_15685]) ).
tcf(c_22622,plain,
segmentP(sk4,sk3),
inference(forward_subsumption_resolution,[status(thm)],[c_22621,c_9710,c_298]) ).
tcf(c_22638,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_22620,c_22622,c_16336]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC057-1 : 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 : n017.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 16:04:47 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 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
% 0.10/0.43 % Proving...
% 10.81/2.27 % SZS status Started for theBenchmark.p
% 10.81/2.27 % SZS status Unsatisfiable for theBenchmark.p
% 10.81/2.27
% 10.81/2.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.81/2.27
% 10.81/2.27 % ------ iProver source info
% 10.81/2.27
% 10.81/2.27 % git: date: 2026-07-19 20:42:38 +0200
% 10.81/2.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.81/2.27 % git: non_committed_changes: false
% 10.81/2.27
% 10.81/2.27 % ------ Parsing...% successful
% 10.81/2.27
% 10.81/2.27
% 10.81/2.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.81/2.27
% 10.81/2.27 % ------ 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 sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 10.81/2.27
% 10.81/2.27 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.81/2.27
% 10.81/2.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.81/2.27 % ------ Proving...
% 10.81/2.27 % ------ Problem Properties
% 10.81/2.27
% 10.81/2.27 %
% 10.81/2.27 % clauses 184
% 10.81/2.27 % conjectures 3
% 10.81/2.27 % EPR 59
% 10.81/2.27 % Horn 155
% 10.81/2.27 % unary 62
% 10.81/2.27 % binary 21
% 10.81/2.27 % lits 556
% 10.81/2.27 % lits eq 74
% 10.81/2.27 % fd_pure 0
% 10.81/2.27 % fd_pseudo 0
% 10.81/2.27 % fd_cond 16
% 10.81/2.27 % fd_pseudo_cond 14
% 10.81/2.27 % AC symbols 0
% 10.81/2.27
% 10.81/2.27 % ------ Schedule dynamic 5 is on
% 10.81/2.27
% 10.81/2.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.81/2.27
% 10.81/2.27
% 10.81/2.27 % ------
% 10.81/2.27 % Current options:
% 10.81/2.27 % ------
% 10.81/2.27
% 10.81/2.27
% 10.81/2.27 %
% 10.81/2.27
% 10.81/2.27 % ------ Proving...
% 10.81/2.27 %
% 10.81/2.27
% 10.81/2.27 % SZS status Unsatisfiable for theBenchmark.p
% 10.81/2.27
% 10.81/2.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.81/2.27
% 10.81/2.27
%------------------------------------------------------------------------------