%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC120-1 : 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 03:07:58 PM UTC 2026
% Result : Unsatisfiable 0.72s 1.08s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f234ERROR: Could not build tree for root c_7721ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
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(f100,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause99) ).
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(f162,axiom,
! [X2,X0,X1] :
( X1 = X2
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != app(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause150) ).
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(f208,negated_conjecture,
! [X0,X1] :
( neq(sk2,nil)
| ~ neq(nil,sk4)
| app(sk3,X1) != X0
| tl(sk4) != X1
| ~ ssList(X1)
| sk4 = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f210,negated_conjecture,
! [X0,X1] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| app(sk3,X1) != X0
| tl(sk4) != X1
| ~ ssList(X1)
| sk4 = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( ~ neq(sk4,nil)
| ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f216,plain,
! [X0,X1] :
( neq(sk4,nil)
| ~ neq(nil,sk4)
| app(sk3,X1) != X0
| tl(sk4) != X1
| ~ ssList(X1)
| sk4 = X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f208,f204]) ).
fof(f218,plain,
( ~ neq(sk4,nil)
| ~ segmentP(sk4,sk3)
| ~ neq(sk3,nil) ),
inference(definition_unfolding,[],[f211,f205,f204,f205]) ).
fof(f219,plain,
! [X0] :
( neq(sk4,nil)
| ~ neq(nil,sk4)
| app(sk3,tl(sk4)) != X0
| ~ ssList(tl(sk4))
| sk4 = X0
| ~ ssList(X0) ),
inference(equality_resolution,[],[f216]) ).
fof(f220,plain,
( neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4))
| sk4 = app(sk3,tl(sk4))
| ~ ssList(app(sk3,tl(sk4))) ),
inference(equality_resolution,[],[f219]) ).
fof(f221,plain,
! [X0] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| app(sk3,tl(sk4)) != X0
| ~ ssList(tl(sk4))
| sk4 = X0
| ~ ssList(X0) ),
inference(equality_resolution,[],[f210]) ).
fof(f222,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4))
| sk4 = app(sk3,tl(sk4))
| ~ ssList(app(sk3,tl(sk4))) ),
inference(equality_resolution,[],[f221]) ).
fof(f227,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_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,
neq(sk4,nil),
inference(cnf_transformation,[],[f234]) ).
tcf(c_251,negated_conjecture,
( neq(sk4,nil)
| ( app(sk3,tl(sk4)) = sk4 )
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4))
| ~ ssList(app(sk3,tl(sk4))) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_253,negated_conjecture,
( ( app(sk3,tl(sk4)) = sk4 )
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4))
| ~ ssList(app(sk3,tl(sk4))) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_254,negated_conjecture,
( ~ segmentP(sk4,sk3)
| ~ neq(sk4,nil)
| ~ neq(sk3,nil) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_260,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_262,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_264,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_269,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != app(X0,X2) ) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_271,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_274,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_277,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_278,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,[],[f227]) ).
tcf(c_288,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_297,plain,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_364,negated_conjecture,
( ~ segmentP(sk4,sk3)
| ~ neq(sk3,nil) ),
inference(global_subsumption_just,[status(thm)],[c_254,c_250,c_254]) ).
tcf(c_366,negated_conjecture,
neq(sk4,nil),
inference(global_subsumption_just,[status(thm)],[c_251,c_250]) ).
tcf(c_368,plain,
( ( app(sk3,tl(sk4)) = sk4 )
| ~ neq(nil,sk4)
| ~ ssList(app(sk3,tl(sk4)))
| ~ ssList(tl(sk4)) ),
inference(global_subsumption_just,[status(thm)],[c_253,c_250,c_253]) ).
tcf(c_369,negated_conjecture,
( ( app(sk3,tl(sk4)) = sk4 )
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4))
| ~ ssList(app(sk3,tl(sk4))) ),
inference(renaming,[status(thm)],[c_368]) ).
tcf(c_1325,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( X0 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_366,c_264]) ).
tcf(c_1326,plain,
( ~ ssList(sk4)
| ( sk4 != nil ) ),
inference(unflattening,[status(thm)],[c_1325]) ).
tcf(c_1327,plain,
sk4 != nil,
inference(global_subsumption_just,[status(thm)],[c_1326,c_249,c_1326]) ).
tcf(c_1353,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( app(sk3,tl(sk4)) = sk4 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sk4))
| ~ ssList(app(sk3,tl(sk4)))
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_369,c_266]) ).
tcf(c_1354,plain,
( ( sk4 = nil )
| ( app(sk3,tl(sk4)) = sk4 )
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(tl(sk4))
| ~ ssList(app(sk3,tl(sk4))) ),
inference(unflattening,[status(thm)],[c_1353]) ).
tcf(c_1355,plain,
( ~ ssList(app(sk3,tl(sk4)))
| ~ ssList(tl(sk4))
| ( app(sk3,tl(sk4)) = sk4 ) ),
inference(global_subsumption_just,[status(thm)],[c_1354,c_249,c_262,c_1326,c_1354]) ).
tcf(c_1356,plain,
( ( app(sk3,tl(sk4)) = sk4 )
| ~ ssList(tl(sk4))
| ~ ssList(app(sk3,tl(sk4))) ),
inference(renaming,[status(thm)],[c_1355]) ).
tcf(c_1380,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,sk3)
| ( X1 != sk3 )
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_266,c_364]) ).
tcf(c_1381,plain,
( ( nil = sk3 )
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ segmentP(sk4,sk3) ),
inference(unflattening,[status(thm)],[c_1380]) ).
tcf(c_1382,plain,
( ( nil = sk3 )
| ~ segmentP(sk4,sk3) ),
inference(global_subsumption_just,[status(thm)],[c_1381,c_248,c_262,c_1381]) ).
tcf(c_3392,plain,
app(nil,sk3) = sk3,
inference(superposition,[status(thm)],[c_248,c_260]) ).
tcf(c_3393,plain,
app(nil,sk4) = sk4,
inference(superposition,[status(thm)],[c_249,c_260]) ).
tcf(c_3415,plain,
( ( app(sk3,tl(sk4)) = sk4 )
| ~ ssList(sk3)
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_271,c_1356]) ).
tcf(c_3416,plain,
( ( app(sk3,tl(sk4)) = sk4 )
| ~ ssList(tl(sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3415,c_248]) ).
tcf(c_3463,plain,
( ( sk4 = nil )
| ( app(sk3,tl(sk4)) = sk4 )
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_277,c_3416]) ).
tcf(c_3464,plain,
app(sk3,tl(sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_3463,c_1327,c_249]) ).
tcf(c_3835,plain,
( ssList(tl(sk4))
| ( sk4 = nil )
| ~ ssList(sk4) ),
inference(instantiation,[status(thm)],[c_277]) ).
tcf(c_3857,plain,
( ( sk4 = nil )
| ( cons(hd(sk4),tl(sk4)) = sk4 ) ),
inference(superposition,[status(thm)],[c_249,c_274]) ).
tcf(c_3862,plain,
cons(hd(sk4),tl(sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_3857,c_1327]) ).
tcf(c_3878,plain,
( ssItem(hd(sk4))
| ( sk4 = nil )
| ~ ssList(sk4) ),
inference(instantiation,[status(thm)],[c_297]) ).
tcf(c_3963,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ( tl(sk4) != sk4 ) ),
inference(superposition,[status(thm)],[c_3862,c_288]) ).
tcf(c_4215,plain,
tl(sk4) != sk4,
inference(global_subsumption_just,[status(thm)],[c_3963,c_249,c_1326,c_3835,c_3878,c_3963]) ).
tcf(c_5997,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0)
| ( app(nil,X0) != sk4 ) ),
inference(superposition,[status(thm)],[c_3393,c_269]) ).
tcf(c_6031,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(nil,X0) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5997,c_262,c_249]) ).
tcf(c_6469,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_3392,c_278]) ).
tcf(c_6521,plain,
! [X0: $i] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(app(sk3,X0)) ),
inference(light_normalisation,[status(thm)],[c_6469,c_3392]) ).
tcf(c_6522,plain,
! [X0: $i] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0)
| ~ ssList(app(sk3,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6521,c_262,c_248]) ).
tcf(c_7054,plain,
( segmentP(sk4,sk3)
| ~ ssList(tl(sk4))
| ~ ssList(app(sk3,tl(sk4))) ),
inference(superposition,[status(thm)],[c_3464,c_6522]) ).
tcf(c_7060,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(tl(sk4)) ),
inference(light_normalisation,[status(thm)],[c_7054,c_3464]) ).
tcf(c_7061,plain,
( segmentP(sk4,sk3)
| ~ ssList(tl(sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7060,c_249]) ).
tcf(c_7077,plain,
segmentP(sk4,sk3),
inference(global_subsumption_just,[status(thm)],[c_7061,c_249,c_1326,c_3835,c_7061]) ).
tcf(c_7079,plain,
sk3 = nil,
inference(backward_subsumption_resolution,[status(thm)],[c_1382,c_7077]) ).
tcf(c_7122,plain,
app(nil,tl(sk4)) = sk4,
inference(demodulation,[status(thm)],[c_3464,c_7079]) ).
tcf(c_7710,plain,
( ( tl(sk4) = sk4 )
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_7122,c_6031]) ).
tcf(c_7720,plain,
~ ssList(tl(sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_7710,c_4215]) ).
tcf(c_7721,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7720,c_3835,c_1326,c_249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC120-1 : 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 : n017.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 16:25:31 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.40 Running first-order theorem proving
% 0.02/0.40 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
% 0.02/0.41
% 0.02/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.41
% 0.02/0.41 % Detected problem language: tptp
% 0.02/0.43 % Proving...
% 0.72/1.08 % SZS status Started for theBenchmark.p
% 0.72/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 0.72/1.08
% 0.72/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.72/1.08
% 0.72/1.08 % ------ iProver source info
% 0.72/1.08
% 0.72/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 0.72/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.72/1.08 % git: non_committed_changes: false
% 0.72/1.08
% 0.72/1.08 % ------ Parsing...% successful
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.72/1.08
% 0.72/1.08 % ------ 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 %
% 0.72/1.08
% 0.72/1.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.72/1.08
% 0.72/1.08 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.72/1.08 % ------ Proving...
% 0.72/1.08 % ------ Problem Properties
% 0.72/1.08
% 0.72/1.08 %
% 0.72/1.08 % clauses 60
% 0.72/1.08 % conjectures 2
% 0.72/1.08 % EPR 23
% 0.72/1.08 % Horn 47
% 0.72/1.08 % unary 8
% 0.72/1.08 % binary 10
% 0.72/1.08 % lits 223
% 0.72/1.08 % lits eq 49
% 0.72/1.08 % fd_pure 0
% 0.72/1.08 % fd_pseudo 0
% 0.72/1.08 % fd_cond 13
% 0.72/1.08 % fd_pseudo_cond 8
% 0.72/1.08 % AC symbols 0
% 0.72/1.08
% 0.72/1.08 % ------ Schedule dynamic 5 is on
% 0.72/1.08
% 0.72/1.08 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 % ------
% 0.72/1.08 % Current options:
% 0.72/1.08 % ------
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 %
% 0.72/1.08
% 0.72/1.08 % ------ Proving...
% 0.72/1.08 %
% 0.72/1.08
% 0.72/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 0.72/1.08
% 0.72/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.72/1.08
% 0.72/1.08
%------------------------------------------------------------------------------