%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC288-1 : 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 : n002.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 03:09:10 PM UTC 2026
% Result : Unsatisfiable 3.76s 6.32s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 14 unt; 1 def)
% Number of atoms : 47 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 10 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause3) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause66) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
~ strictorderedP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
( nil = sk3
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f219,negated_conjecture,
( nil = sk3
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f220,plain,
( nil = sk3
| sk3 = cons(sk5,nil) ),
inference(reorient_equations,[],[f219]) ).
fof(f227,plain,
~ strictorderedP(sk3),
inference(definition_unfolding,[],[f206,f205]) ).
tcf(c_257,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f3]) ).
tcf(c_320,plain,
! [X0: $i] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_444,negated_conjecture,
~ strictorderedP(sk3),
inference(cnf_transformation,[],[f227]) ).
tcf(c_446,negated_conjecture,
( ssItem(sk5)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_455,negated_conjecture,
( ( sk3 = nil )
| ( cons(sk5,nil) = sk3 ) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_6732,definition,
iPr_def_14 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_6733,negated_conjecture,
~ strictorderedP(sk3),
inference(demodulation,[status(thm)],[c_444]) ).
tcf(c_6737,negated_conjecture,
( ( iPr_def_14 = sk3 )
| ( sk3 = nil ) ),
inference(demodulation,[status(thm)],[c_455,c_6732]) ).
tcf(c_6746,negated_conjecture,
( ssItem(sk5)
| ( sk3 = nil ) ),
inference(demodulation,[status(thm)],[c_446]) ).
tcf(c_9415,plain,
( ( sk3 = iPr_def_14 )
| ~ strictorderedP(nil) ),
inference(superposition,[status(thm)],[c_6737,c_6733]) ).
tcf(c_9417,plain,
sk3 = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_9415,c_257]) ).
tcf(c_9420,plain,
( ssItem(sk5)
| ( nil = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_6746,c_9417]) ).
tcf(c_9423,plain,
~ strictorderedP(iPr_def_14),
inference(demodulation,[status(thm)],[c_6733,c_9417]) ).
tcf(c_9620,plain,
( strictorderedP(iPr_def_14)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_6732,c_320]) ).
tcf(c_9621,plain,
~ ssItem(sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_9620,c_9423]) ).
tcf(c_9622,plain,
nil = iPr_def_14,
inference(backward_subsumption_resolution,[status(thm)],[c_9420,c_9621]) ).
tcf(c_9645,plain,
strictorderedP(iPr_def_14),
inference(demodulation,[status(thm)],[c_257,c_9622]) ).
tcf(c_9655,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9645,c_9423]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC288-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.39 % Computer : n002.cluster.edu
% 0.09/5.39 % Model : x86_64 x86_64
% 0.09/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.39 % Memory : 8046.5625MB
% 0.09/5.39 % OS : Linux 6.8.0-71-generic
% 0.09/5.39 % CPULimit : 300
% 0.09/5.39 % WCLimit : 300
% 0.09/5.39 % DateTime : Thu Sep 24 17:28:40 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/5.44 Running first-order theorem proving
% 0.16/5.44 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
% 0.16/5.46
% 0.16/5.46 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.46
% 0.16/5.46 % Detected problem language: tptp
% 0.16/5.47 % Proving...
% 3.76/6.32 % SZS status Started for theBenchmark.p
% 3.76/6.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.76/6.32
% 3.76/6.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.76/6.32
% 3.76/6.32 % ------ iProver source info
% 3.76/6.32
% 3.76/6.32 % git: date: 2026-07-19 20:42:38 +0200
% 3.76/6.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.76/6.32 % git: non_committed_changes: false
% 3.76/6.32
% 3.76/6.32 % ------ Parsing...% successful
% 3.76/6.32
% 3.76/6.32
% 3.76/6.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.76/6.32
% 3.76/6.32 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.76/6.32
% 3.76/6.32 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.76/6.32
% 3.76/6.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.76/6.32 % ------ Proving...
% 3.76/6.32 % ------ Problem Properties
% 3.76/6.32
% 3.76/6.32 %
% 3.76/6.32 % clauses 197
% 3.76/6.32 % conjectures 17
% 3.76/6.32 % EPR 69
% 3.76/6.32 % Horn 159
% 3.76/6.32 % unary 64
% 3.76/6.32 % binary 31
% 3.76/6.32 % lits 583
% 3.76/6.32 % lits eq 90
% 3.76/6.32 % fd_pure 0
% 3.76/6.32 % fd_pseudo 0
% 3.76/6.32 % fd_cond 15
% 3.76/6.32 % fd_pseudo_cond 14
% 3.76/6.32 % AC symbols 0
% 3.76/6.32
% 3.76/6.32 % ------ Schedule dynamic 5 is on
% 3.76/6.32
% 3.76/6.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.76/6.32
% 3.76/6.32
% 3.76/6.32 % ------
% 3.76/6.32 % Current options:
% 3.76/6.32 % ------
% 3.76/6.32
% 3.76/6.32
% 3.76/6.32 %
% 3.76/6.32
% 3.76/6.32 % ------ Proving...
% 3.76/6.32 %
% 3.76/6.32
% 3.76/6.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.76/6.32
% 3.76/6.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.76/6.32
% 3.76/6.32
%------------------------------------------------------------------------------