%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC108-1 : 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 : n015.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 03:07:55 PM UTC 2026
% Result : Unsatisfiable 10.31s 2.28s
% Output : CNFRefutation 10.31s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f245ERROR: Could not build tree for root c_22237ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
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(f142,axiom,
! [X0,X1] :
( app(skaf46(X0,X1),X1) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).
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,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil)
| 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(f210,negated_conjecture,
( neq(sk3,nil)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( rearsegP(sk4,sk3)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,negated_conjecture,
( rearsegP(sk4,sk3)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f217,plain,
( ~ segmentP(sk4,sk3)
| ~ neq(sk3,nil)
| nil = sk4 ),
inference(definition_unfolding,[],[f207,f204,f205,f204,f205]) ).
fof(f218,plain,
( neq(sk4,nil)
| nil != sk3 ),
inference(definition_unfolding,[],[f208,f205,f204]) ).
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_297,plain,
! [X0: $i,X1: $i] : ssList(skaf46(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
tcf(c_320,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_362,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_366,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(X0,X1),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f142]) ).
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,
( ( sk4 = nil )
| ~ segmentP(sk4,sk3)
| ~ neq(sk3,nil) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_439,negated_conjecture,
( neq(sk4,nil)
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_441,negated_conjecture,
( neq(sk3,nil)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_442,negated_conjecture,
( rearsegP(sk4,sk3)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_444,negated_conjecture,
( rearsegP(sk4,sk3)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_564,negated_conjecture,
( ( sk4 = nil )
| ~ segmentP(sk4,sk3) ),
inference(global_subsumption_just,[status(thm)],[c_438,c_441,c_438]) ).
tcf(c_3615,plain,
! [X0: $i] :
( ( sk4 = nil )
| ~ ssList(X0)
| ( X0 != nil )
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_441,c_362]) ).
tcf(c_3616,plain,
( ( sk4 = nil )
| ~ ssList(sk3)
| ( sk3 != nil ) ),
inference(unflattening,[status(thm)],[c_3615]) ).
tcf(c_3658,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( sk3 != nil )
| ( X0 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_362,c_439]) ).
tcf(c_3659,plain,
( ~ ssList(sk4)
| ( sk4 != nil )
| ( sk3 != nil ) ),
inference(unflattening,[status(thm)],[c_3658]) ).
tcf(c_3660,plain,
sk3 != nil,
inference(global_subsumption_just,[status(thm)],[c_3659,c_436,c_435,c_3616,c_3659]) ).
tcf(c_3669,negated_conjecture,
rearsegP(sk4,sk3),
inference(global_subsumption_just,[status(thm)],[c_442,c_444,c_3660]) ).
tcf(c_9470,negated_conjecture,
rearsegP(sk4,sk3),
inference(demodulation,[status(thm)],[c_3669]) ).
tcf(c_9471,plain,
sk3 != nil,
inference(demodulation,[status(thm)],[c_3660]) ).
tcf(c_9472,negated_conjecture,
( ( sk4 = nil )
| ~ segmentP(sk4,sk3) ),
inference(demodulation,[status(thm)],[c_564]) ).
tcf(c_9473,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_436]) ).
tcf(c_9474,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_435]) ).
tcf(c_12025,plain,
app(sk4,nil) = sk4,
inference(superposition,[status(thm)],[c_9473,c_320]) ).
tcf(c_15234,plain,
( ( app(skaf46(sk4,sk3),sk3) = sk4 )
| ~ ssList(sk4)
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_9470,c_378]) ).
tcf(c_15273,plain,
app(skaf46(sk4,sk3),sk3) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_15234,c_9473,c_9474]) ).
tcf(c_15546,plain,
( ( sk3 = nil )
| ~ ssList(sk3)
| ~ ssList(skaf46(sk4,sk3))
| ( sk4 != nil ) ),
inference(superposition,[status(thm)],[c_15273,c_366]) ).
tcf(c_15551,plain,
sk4 != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_15546,c_9471,c_9474,c_297]) ).
tcf(c_15558,plain,
~ segmentP(sk4,sk3),
inference(backward_subsumption_resolution,[status(thm)],[c_9472,c_15551]) ).
tcf(c_21420,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,sk3))
| ~ ssList(app(app(skaf46(sk4,sk3),sk3),X0)) ),
inference(superposition,[status(thm)],[c_15273,c_420]) ).
tcf(c_21556,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,sk3))
| ~ ssList(app(sk4,X0)) ),
inference(light_normalisation,[status(thm)],[c_21420,c_15273]) ).
tcf(c_21557,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21556,c_9474,c_297]) ).
tcf(c_22232,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ ssList(app(sk4,nil)) ),
inference(superposition,[status(thm)],[c_12025,c_21557]) ).
tcf(c_22236,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(light_normalisation,[status(thm)],[c_22232,c_12025]) ).
tcf(c_22237,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_22236,c_15558,c_255,c_9473]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC108-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 16:29:41 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 10.31/2.28 % SZS status Started for theBenchmark.p
% 10.31/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 10.31/2.28
% 10.31/2.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.31/2.28
% 10.31/2.28 % ------ iProver source info
% 10.31/2.28
% 10.31/2.28 % git: date: 2026-07-19 20:42:38 +0200
% 10.31/2.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.31/2.28 % git: non_committed_changes: false
% 10.31/2.28
% 10.31/2.28 % ------ Parsing...% successful
% 10.31/2.28
% 10.31/2.28
% 10.31/2.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.31/2.28
% 10.31/2.28 % ------ 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 %
% 10.31/2.28
% 10.31/2.28 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.31/2.28
% 10.31/2.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.31/2.28 % ------ Proving...
% 10.31/2.28 % ------ Problem Properties
% 10.31/2.28
% 10.31/2.28 %
% 10.31/2.28 % clauses 182
% 10.31/2.28 % conjectures 4
% 10.31/2.28 % EPR 57
% 10.31/2.28 % Horn 154
% 10.31/2.28 % unary 62
% 10.31/2.28 % binary 22
% 10.31/2.28 % lits 547
% 10.31/2.28 % lits eq 71
% 10.31/2.28 % fd_pure 0
% 10.31/2.28 % fd_pseudo 0
% 10.31/2.28 % fd_cond 15
% 10.31/2.28 % fd_pseudo_cond 14
% 10.31/2.28 % AC symbols 0
% 10.31/2.28
% 10.31/2.28 % ------ Schedule dynamic 5 is on
% 10.31/2.28
% 10.31/2.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.31/2.28
% 10.31/2.28
% 10.31/2.28 % ------
% 10.31/2.28 % Current options:
% 10.31/2.28 % ------
% 10.31/2.28
% 10.31/2.28
% 10.31/2.28 %
% 10.31/2.28
% 10.31/2.28 % ------ Proving...
% 10.31/2.28 %
% 10.31/2.28
% 10.31/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 10.31/2.28
% 10.31/2.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.31/2.28
% 10.31/2.28
%------------------------------------------------------------------------------