%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC417-1 : 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 : 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 03:09:42 PM UTC 2026
% Result : Unsatisfiable 2.28s 0.96s
% Output : CNFRefutation 2.28s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f264ERROR: Could not build tree for root c_9554ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
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(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
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(f216,negated_conjecture,
! [X2,X0,X1] :
( ~ neq(sk4,nil)
| app(app(X2,cons(X0,nil)),X1) != sk1
| app(app(X1,cons(X0,nil)),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ neq(sk4,nil)
| sk1 != app(app(X2,cons(X0,nil)),X1)
| sk2 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f216]) ).
fof(f218,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f219,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f220,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f221,plain,
( ~ neq(sk4,nil)
| sk4 = app(cons(sk5,nil),sk6) ),
inference(reorient_equations,[],[f220]) ).
fof(f222,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f223,plain,
( ~ neq(sk4,nil)
| sk3 = app(sk6,cons(sk5,nil)) ),
inference(reorient_equations,[],[f222]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ neq(sk4,nil)
| sk3 != app(app(X2,cons(X0,nil)),X1)
| sk4 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f217,f204,f205]) ).
tcf(c_259,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_324,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_325,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_337,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_439,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_441,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f264]) ).
tcf(c_447,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ neq(sk4,nil)
| ( app(app(X2,cons(X1,nil)),X0) != sk4 )
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_448,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_449,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_450,negated_conjecture,
( ( app(cons(sk5,nil),sk6) = sk4 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_451,negated_conjecture,
( ( app(sk6,cons(sk5,nil)) = sk3 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_564,negated_conjecture,
ssList(sk6),
inference(global_subsumption_just,[status(thm)],[c_449,c_441,c_449]) ).
tcf(c_566,negated_conjecture,
ssItem(sk5),
inference(global_subsumption_just,[status(thm)],[c_448,c_441,c_448]) ).
tcf(c_584,negated_conjecture,
app(sk6,cons(sk5,nil)) = sk3,
inference(global_subsumption_just,[status(thm)],[c_451,c_441,c_451]) ).
tcf(c_586,negated_conjecture,
app(cons(sk5,nil),sk6) = sk4,
inference(global_subsumption_just,[status(thm)],[c_450,c_441,c_450]) ).
tcf(c_590,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(X0,cons(X1,nil)),X2) != sk3 )
| ( app(app(X2,cons(X1,nil)),X0) != sk4 ) ),
inference(global_subsumption_just,[status(thm)],[c_447,c_441,c_447]) ).
tcf(c_591,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(X2,cons(X1,nil)),X0) != sk4 )
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(renaming,[status(thm)],[c_590]) ).
tcf(c_6526,definition,
iPr_def_12 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6527,definition,
iPr_def_13 = app(iPr_def_12,sk6),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_6528,definition,
iPr_def_14 = app(sk6,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_6530,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(X2,cons(X1,nil)),X0) != sk4 )
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(demodulation,[status(thm)],[c_591]) ).
tcf(c_6531,negated_conjecture,
iPr_def_13 = sk4,
inference(demodulation,[status(thm)],[c_586,c_6526,c_6527]) ).
tcf(c_6532,negated_conjecture,
iPr_def_14 = sk3,
inference(demodulation,[status(thm)],[c_584,c_6528]) ).
tcf(c_6533,negated_conjecture,
ssItem(sk5),
inference(demodulation,[status(thm)],[c_566]) ).
tcf(c_6534,negated_conjecture,
ssList(sk6),
inference(demodulation,[status(thm)],[c_564]) ).
tcf(c_6536,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_439]) ).
tcf(c_9062,plain,
ssList(iPr_def_14),
inference(light_normalisation,[status(thm)],[c_6536,c_6532]) ).
tcf(c_9063,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(X2,cons(X1,nil)),X0) != iPr_def_13 )
| ( app(app(X0,cons(X1,nil)),X2) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6530,c_6531,c_6532]) ).
tcf(c_9074,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk5)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X1,iPr_def_12),X0) != iPr_def_14 )
| ( app(app(X0,cons(sk5,nil)),X1) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6526,c_9063]) ).
tcf(c_9075,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk5)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X1,iPr_def_12),X0) != iPr_def_14 )
| ( app(app(X0,iPr_def_12),X1) != iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_9074,c_6526]) ).
tcf(c_9076,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X1,iPr_def_12),X0) != iPr_def_14 )
| ( app(app(X0,iPr_def_12),X1) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9075,c_6533]) ).
tcf(c_9090,plain,
! [X0: $i] :
( ~ ssList(sk6)
| ~ ssList(X0)
| ( app(iPr_def_14,X0) != iPr_def_14 )
| ( app(app(X0,iPr_def_12),sk6) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6528,c_9076]) ).
tcf(c_9091,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( app(iPr_def_14,X0) != iPr_def_14 )
| ( app(app(X0,iPr_def_12),sk6) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9090,c_6534]) ).
tcf(c_9216,plain,
app(iPr_def_14,nil) = iPr_def_14,
inference(superposition,[status(thm)],[c_9062,c_324]) ).
tcf(c_9519,plain,
( ssList(iPr_def_12)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6526,c_337]) ).
tcf(c_9523,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9519,c_6533,c_259]) ).
tcf(c_9536,plain,
app(nil,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_9523,c_325]) ).
tcf(c_9551,plain,
( ~ ssList(nil)
| ( app(iPr_def_14,nil) != iPr_def_14 )
| ( app(iPr_def_12,sk6) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9536,c_9091]) ).
tcf(c_9553,plain,
~ ssList(nil),
inference(ground_joinability,[status(thm)],[c_9551,c_6527,c_9216]) ).
tcf(c_9554,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9553,c_259]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC417-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Thu Sep 24 18:08:48 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.32 Running first-order theorem proving
% 0.02/0.32 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
% 0.02/0.32
% 0.02/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.32
% 0.02/0.33 % Detected problem language: tptp
% 0.07/0.33 % Proving...
% 2.28/0.96 % SZS status Started for theBenchmark.p
% 2.28/0.96 % SZS status Unsatisfiable for theBenchmark.p
% 2.28/0.96
% 2.28/0.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.28/0.96
% 2.28/0.96 % ------ iProver source info
% 2.28/0.96
% 2.28/0.96 % git: date: 2026-07-19 20:42:38 +0200
% 2.28/0.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.28/0.96 % git: non_committed_changes: false
% 2.28/0.96
% 2.28/0.96 % ------ Parsing...% successful
% 2.28/0.96
% 2.28/0.96
% 2.28/0.96 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.28/0.96
% 2.28/0.96 % ------ 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 %
% 2.28/0.96
% 2.28/0.96 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.28/0.96
% 2.28/0.96 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.28/0.96 % ------ Proving...
% 2.28/0.96 % ------ Problem Properties
% 2.28/0.96
% 2.28/0.96 %
% 2.28/0.96 % clauses 188
% 2.28/0.96 % conjectures 7
% 2.28/0.96 % EPR 59
% 2.28/0.96 % Horn 160
% 2.28/0.96 % unary 68
% 2.28/0.96 % binary 21
% 2.28/0.96 % lits 556
% 2.28/0.96 % lits eq 77
% 2.28/0.96 % fd_pure 0
% 2.28/0.96 % fd_pseudo 0
% 2.28/0.96 % fd_cond 15
% 2.28/0.96 % fd_pseudo_cond 14
% 2.28/0.96 % AC symbols 0
% 2.28/0.96
% 2.28/0.96 % ------ Schedule dynamic 5 is on
% 2.28/0.96
% 2.28/0.96 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.28/0.96
% 2.28/0.96
% 2.28/0.96 % ------
% 2.28/0.96 % Current options:
% 2.28/0.96 % ------
% 2.28/0.96
% 2.28/0.96
% 2.28/0.96 %
% 2.28/0.96
% 2.28/0.96 % ------ Proving...
% 2.28/0.96 %
% 2.28/0.96
% 2.28/0.96 % SZS status Unsatisfiable for theBenchmark.p
% 2.28/0.96
% 2.28/0.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.28/0.96
% 2.28/0.96
%------------------------------------------------------------------------------