%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC014-1 : 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 : n012.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 03:07:31 PM UTC 2026
% Result : Unsatisfiable 2.58s 0.97s
% Output : CNFRefutation 2.58s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f266ERROR: Could not build tree for root c_11274ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f77,axiom,
! [X0] :
( nil = X0
| ssList(tl(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).
fof(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
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(f125,axiom,
! [X0,X1] :
( app(cons(X0,nil),X1) = cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
fof(f126,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
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,sk2)
| app(sk1,X1) != X0
| tl(sk2) != X1
| ~ ssList(X1)
| sk2 != X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f215,negated_conjecture,
! [X0,X1] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| app(sk1,X1) != X0
| tl(sk2) != X1
| ~ ssList(X1)
| sk2 != X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f216,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f217,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f218,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f219,plain,
( ~ neq(sk4,nil)
| sk3 = cons(sk5,nil) ),
inference(reorient_equations,[],[f218]) ).
fof(f220,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f221,plain,
( ~ neq(sk4,nil)
| sk4 = app(cons(sk5,nil),sk6) ),
inference(reorient_equations,[],[f220]) ).
fof(f226,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,f204,f205,f204,f204]) ).
fof(f231,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,[],[f215,f204,f204,f205,f204]) ).
fof(f256,plain,
! [X1] :
( neq(sk4,nil)
| ~ neq(nil,sk4)
| sk4 != app(sk3,X1)
| tl(sk4) != X1
| ~ ssList(X1)
| ~ ssList(sk4) ),
inference(equality_resolution,[],[f226]) ).
fof(f257,plain,
( neq(sk4,nil)
| ~ neq(nil,sk4)
| sk4 != app(sk3,tl(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(sk4) ),
inference(equality_resolution,[],[f256]) ).
fof(f258,plain,
! [X1] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk4 != app(sk3,X1)
| tl(sk4) != X1
| ~ ssList(X1)
| ~ ssList(sk4) ),
inference(equality_resolution,[],[f231]) ).
fof(f259,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk4 != app(sk3,tl(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(sk4) ),
inference(equality_resolution,[],[f258]) ).
tcf(c_259,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_328,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_347,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(X1,X0)) = X0 )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_351,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_366,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f261]) ).
tcf(c_371,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_440,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_441,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f266]) ).
tcf(c_442,negated_conjecture,
( neq(sk4,nil)
| ~ ssList(sk4)
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4))
| ( app(sk3,tl(sk4)) != sk4 ) ),
inference(cnf_transformation,[],[f257]) ).
tcf(c_447,negated_conjecture,
( ~ ssList(sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4))
| ( app(sk3,tl(sk4)) != sk4 ) ),
inference(cnf_transformation,[],[f259]) ).
tcf(c_448,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_449,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_450,negated_conjecture,
( ( cons(sk5,nil) = sk3 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_451,negated_conjecture,
( ( app(cons(sk5,nil),sk6) = sk4 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_563,negated_conjecture,
ssList(sk6),
inference(global_subsumption_just,[status(thm)],[c_449,c_441,c_449]) ).
tcf(c_565,negated_conjecture,
ssItem(sk5),
inference(global_subsumption_just,[status(thm)],[c_448,c_441,c_448]) ).
tcf(c_577,negated_conjecture,
cons(sk5,nil) = sk3,
inference(global_subsumption_just,[status(thm)],[c_450,c_441,c_450]) ).
tcf(c_585,negated_conjecture,
app(cons(sk5,nil),sk6) = sk4,
inference(global_subsumption_just,[status(thm)],[c_451,c_441,c_451]) ).
tcf(c_587,negated_conjecture,
neq(sk4,nil),
inference(global_subsumption_just,[status(thm)],[c_442,c_441]) ).
tcf(c_589,plain,
( ~ ssList(tl(sk4))
| ( app(sk3,tl(sk4)) != sk4 )
| ~ neq(nil,sk4) ),
inference(global_subsumption_just,[status(thm)],[c_447,c_440,c_441,c_447]) ).
tcf(c_590,negated_conjecture,
( ~ neq(nil,sk4)
| ~ ssList(tl(sk4))
| ( app(sk3,tl(sk4)) != sk4 ) ),
inference(renaming,[status(thm)],[c_589]) ).
tcf(c_1793,plain,
app(sk3,sk6) = sk4,
inference(light_normalisation,[status(thm)],[c_585,c_577]) ).
tcf(c_2996,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( X0 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_587,c_366]) ).
tcf(c_2997,plain,
( ~ ssList(sk4)
| ( sk4 != nil ) ),
inference(unflattening,[status(thm)],[c_2996]) ).
tcf(c_2998,plain,
sk4 != nil,
inference(global_subsumption_just,[status(thm)],[c_2997,c_440,c_2997]) ).
tcf(c_3028,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sk4))
| ( X1 != nil )
| ( X0 != sk4 )
| ( app(sk3,tl(sk4)) != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_351,c_590]) ).
tcf(c_3029,plain,
( ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(tl(sk4))
| ( app(sk3,tl(sk4)) != sk4 ) ),
inference(unflattening,[status(thm)],[c_3028]) ).
tcf(c_3030,plain,
( ( app(sk3,tl(sk4)) != sk4 )
| ~ ssList(tl(sk4)) ),
inference(global_subsumption_just,[status(thm)],[c_3029,c_440,c_259,c_2997,c_3029]) ).
tcf(c_3031,plain,
( ~ ssList(tl(sk4))
| ( app(sk3,tl(sk4)) != sk4 ) ),
inference(renaming,[status(thm)],[c_3030]) ).
tcf(c_6534,definition,
iPr_def_12 = tl(sk4),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6535,definition,
iPr_def_13 = app(sk3,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_6536,definition,
iPr_def_14 = app(sk3,sk6),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_6537,definition,
iPr_def_15 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_6538,plain,
( ~ ssList(iPr_def_12)
| ( iPr_def_13 != sk4 ) ),
inference(demodulation,[status(thm)],[c_3031,c_6534,c_6535]) ).
tcf(c_6539,plain,
sk4 != nil,
inference(demodulation,[status(thm)],[c_2998]) ).
tcf(c_6540,plain,
iPr_def_14 = sk4,
inference(demodulation,[status(thm)],[c_1793,c_6536]) ).
tcf(c_6541,negated_conjecture,
iPr_def_15 = sk3,
inference(demodulation,[status(thm)],[c_577,c_6537]) ).
tcf(c_6542,negated_conjecture,
ssItem(sk5),
inference(demodulation,[status(thm)],[c_565]) ).
tcf(c_6543,negated_conjecture,
ssList(sk6),
inference(demodulation,[status(thm)],[c_563]) ).
tcf(c_6544,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_440]) ).
tcf(c_9062,plain,
ssList(iPr_def_14),
inference(light_normalisation,[status(thm)],[c_6544,c_6540]) ).
tcf(c_9064,plain,
nil != iPr_def_14,
inference(light_normalisation,[status(thm)],[c_6539,c_6540]) ).
tcf(c_9065,plain,
( ~ ssList(iPr_def_12)
| ( iPr_def_13 != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6538,c_6540]) ).
tcf(c_9072,plain,
tl(iPr_def_14) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_6534,c_6540]) ).
tcf(c_9073,plain,
app(iPr_def_15,iPr_def_12) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_6535,c_6541]) ).
tcf(c_9074,plain,
app(iPr_def_15,sk6) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_6536,c_6541]) ).
tcf(c_9291,plain,
( ssList(iPr_def_12)
| ( nil = iPr_def_14 )
| ~ ssList(iPr_def_14) ),
inference(superposition,[status(thm)],[c_9072,c_328]) ).
tcf(c_9294,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9291,c_9064,c_9062]) ).
tcf(c_9301,plain,
iPr_def_13 != iPr_def_14,
inference(backward_subsumption_resolution,[status(thm)],[c_9065,c_9294]) ).
tcf(c_9848,plain,
! [X0: $i] :
( ( tl(cons(X0,sk6)) = sk6 )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_6543,c_347]) ).
tcf(c_10034,plain,
tl(cons(sk5,sk6)) = sk6,
inference(superposition,[status(thm)],[c_6542,c_9848]) ).
tcf(c_10906,plain,
! [X0: $i] :
( ( app(cons(X0,nil),sk6) = cons(X0,sk6) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_6543,c_371]) ).
tcf(c_11210,plain,
app(cons(sk5,nil),sk6) = cons(sk5,sk6),
inference(superposition,[status(thm)],[c_6542,c_10906]) ).
tcf(c_11230,plain,
cons(sk5,sk6) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_11210,c_6537,c_9074]) ).
tcf(c_11237,plain,
tl(iPr_def_14) = sk6,
inference(demodulation,[status(thm)],[c_10034,c_11230]) ).
tcf(c_11238,plain,
sk6 = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_11237,c_9072]) ).
tcf(c_11271,plain,
app(iPr_def_15,iPr_def_12) = iPr_def_14,
inference(demodulation,[status(thm)],[c_9074,c_11238]) ).
tcf(c_11273,plain,
iPr_def_13 = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_11271,c_9073]) ).
tcf(c_11274,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11273,c_9301]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC014-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.31 % DateTime : Thu Sep 24 15:54:35 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.33 Running first-order theorem proving
% 0.04/0.33 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
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 2.58/0.97 % SZS status Started for theBenchmark.p
% 2.58/0.97 % SZS status Unsatisfiable for theBenchmark.p
% 2.58/0.97
% 2.58/0.97 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.58/0.97
% 2.58/0.97 % ------ iProver source info
% 2.58/0.97
% 2.58/0.97 % git: date: 2026-07-19 20:42:38 +0200
% 2.58/0.97 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.58/0.97 % git: non_committed_changes: false
% 2.58/0.97
% 2.58/0.97 % ------ Parsing...% successful
% 2.58/0.97
% 2.58/0.97
% 2.58/0.97 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.58/0.97
% 2.58/0.97 % ------ Preprocessing... sup_sim: 1 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 %
% 2.58/0.97
% 2.58/0.97 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.58/0.97
% 2.58/0.97 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.58/0.97 % ------ Proving...
% 2.58/0.97 % ------ Problem Properties
% 2.58/0.97
% 2.58/0.97 %
% 2.58/0.97 % clauses 189
% 2.58/0.97 % conjectures 5
% 2.58/0.97 % EPR 60
% 2.58/0.97 % Horn 161
% 2.58/0.97 % unary 69
% 2.58/0.97 % binary 22
% 2.58/0.97 % lits 554
% 2.58/0.97 % lits eq 77
% 2.58/0.97 % fd_pure 0
% 2.58/0.97 % fd_pseudo 0
% 2.58/0.97 % fd_cond 15
% 2.58/0.97 % fd_pseudo_cond 14
% 2.58/0.97 % AC symbols 0
% 2.58/0.97
% 2.58/0.97 % ------ Schedule dynamic 5 is on
% 2.58/0.97
% 2.58/0.97 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.58/0.97
% 2.58/0.97
% 2.58/0.97 % ------
% 2.58/0.97 % Current options:
% 2.58/0.97 % ------
% 2.58/0.97
% 2.58/0.97
% 2.58/0.97 %
% 2.58/0.97
% 2.58/0.97 % ------ Proving...
% 2.58/0.97 %
% 2.58/0.97
% 2.58/0.97 % SZS status Unsatisfiable for theBenchmark.p
% 2.58/0.97
% 2.58/0.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.58/0.97
% 2.58/0.97
%------------------------------------------------------------------------------