%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO038-1.003.003 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.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 03:50:41 PM UTC 2026
% Result : Unsatisfiable 1.92s 16.26s
% Output : CNFRefutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 60 ( 42 unt; 3 def)
% Number of atoms : 170 ( 27 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 39 ( 21 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : f(X0,one) = s(one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
! [X0] : f(one,s(X0)) = s(s(f(one,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
! [X0,X1] : f(s(X0),s(X1)) = f(X0,f(s(X0),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
d(one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
! [X0] :
( d(s(X0))
| ~ d(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,negated_conjecture,
~ d(f(s(s(one)),s(s(one)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
tcf(c_55,plain,
! [X0: $i] : f(X0,one) = s(one),
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,plain,
! [X0: $i] : s(s(f(one,X0))) = f(one,s(X0)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : f(X0,f(s(X0),X1)) = f(s(X0),s(X1)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,plain,
d(one),
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,plain,
! [X0: $i] :
( d(s(X0))
| ~ d(X0) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,negated_conjecture,
~ d(f(s(s(one)),s(s(one)))),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,definition,
iPr_def_10 = s(one),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_88,definition,
iPr_def_11 = s(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_89,definition,
iPr_def_12 = f(iPr_def_11,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_90,negated_conjecture,
~ d(iPr_def_12),
inference(demodulation,[status(thm)],[c_60,c_87,c_88,c_89]) ).
tcf(c_193,plain,
( d(iPr_def_10)
| ~ d(one) ),
inference(superposition,[status(thm)],[c_87,c_59]) ).
tcf(c_194,plain,
( d(iPr_def_11)
| ~ d(iPr_def_10) ),
inference(superposition,[status(thm)],[c_88,c_59]) ).
tcf(c_197,plain,
d(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_193,c_58]) ).
tcf(c_198,plain,
d(iPr_def_11),
inference(backward_subsumption_resolution,[status(thm)],[c_194,c_197]) ).
tcf(c_199,plain,
! [X0: $i] : f(X0,one) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_55,c_87]) ).
tcf(c_200,plain,
f(one,s(one)) = s(s(iPr_def_10)),
inference(superposition,[status(thm)],[c_199,c_56]) ).
tcf(c_201,plain,
! [X0: $i] :
( d(f(one,s(X0)))
| ~ d(s(f(one,X0))) ),
inference(superposition,[status(thm)],[c_56,c_59]) ).
tcf(c_202,plain,
f(one,iPr_def_10) = s(iPr_def_11),
inference(light_normalisation,[status(thm)],[c_200,c_87,c_88]) ).
tcf(c_206,plain,
! [X0: $i] : f(s(X0),s(one)) = f(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_199,c_57]) ).
tcf(c_208,plain,
! [X0: $i] : f(one,f(iPr_def_10,X0)) = f(iPr_def_10,s(X0)),
inference(superposition,[status(thm)],[c_87,c_57]) ).
tcf(c_210,plain,
! [X0: $i] : f(iPr_def_10,f(iPr_def_11,X0)) = f(iPr_def_11,s(X0)),
inference(superposition,[status(thm)],[c_88,c_57]) ).
tcf(c_213,plain,
! [X0: $i] : f(s(X0),iPr_def_10) = f(X0,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_206,c_87]) ).
tcf(c_221,plain,
f(one,s(iPr_def_10)) = s(s(s(iPr_def_11))),
inference(superposition,[status(thm)],[c_202,c_56]) ).
tcf(c_222,plain,
s(s(s(iPr_def_11))) = f(one,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_221,c_88]) ).
tcf(c_223,plain,
f(one,iPr_def_10) = f(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_87,c_213]) ).
tcf(c_225,plain,
f(iPr_def_10,iPr_def_10) = f(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_88,c_213]) ).
tcf(c_227,plain,
f(iPr_def_10,iPr_def_10) = s(iPr_def_11),
inference(light_normalisation,[status(thm)],[c_223,c_202]) ).
tcf(c_231,plain,
f(iPr_def_11,iPr_def_10) = s(iPr_def_11),
inference(light_normalisation,[status(thm)],[c_225,c_227]) ).
tcf(c_234,plain,
( d(f(one,iPr_def_11))
| ~ d(s(s(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_222,c_59]) ).
tcf(c_247,plain,
( d(f(one,iPr_def_11))
| ~ d(s(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_59,c_234]) ).
tcf(c_260,plain,
! [X0: $i] :
( d(f(one,s(X0)))
| ~ d(f(one,X0)) ),
inference(superposition,[status(thm)],[c_59,c_201]) ).
tcf(c_261,plain,
( d(f(one,s(one)))
| ~ d(s(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_199,c_201]) ).
tcf(c_264,plain,
( d(s(iPr_def_11))
| ~ d(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_261,c_87,c_88,c_202]) ).
tcf(c_265,plain,
d(s(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_264,c_198]) ).
tcf(c_272,plain,
d(f(one,iPr_def_11)),
inference(backward_subsumption_resolution,[status(thm)],[c_247,c_265]) ).
tcf(c_286,plain,
! [X0: $i] :
( d(f(one,f(one,s(X0))))
| ~ d(f(one,s(f(one,X0)))) ),
inference(superposition,[status(thm)],[c_56,c_260]) ).
tcf(c_288,plain,
( d(f(one,f(one,iPr_def_11)))
| ~ d(f(one,s(s(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_222,c_260]) ).
tcf(c_297,plain,
f(one,s(iPr_def_11)) = f(iPr_def_10,s(iPr_def_10)),
inference(superposition,[status(thm)],[c_227,c_208]) ).
tcf(c_301,plain,
f(one,s(iPr_def_11)) = f(iPr_def_10,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_297,c_88]) ).
tcf(c_306,plain,
f(one,s(s(iPr_def_11))) = s(s(f(iPr_def_10,iPr_def_11))),
inference(superposition,[status(thm)],[c_301,c_56]) ).
tcf(c_307,plain,
( d(f(iPr_def_10,iPr_def_11))
| ~ d(f(one,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_301,c_260]) ).
tcf(c_308,plain,
d(f(iPr_def_10,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_307,c_272]) ).
tcf(c_322,plain,
f(iPr_def_10,s(iPr_def_11)) = f(iPr_def_11,s(iPr_def_10)),
inference(superposition,[status(thm)],[c_231,c_210]) ).
tcf(c_325,plain,
f(iPr_def_10,s(iPr_def_11)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_322,c_88,c_89]) ).
tcf(c_377,plain,
( d(s(s(f(iPr_def_10,iPr_def_11))))
| ~ d(f(one,s(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_306,c_260]) ).
tcf(c_378,plain,
( d(s(s(f(iPr_def_10,iPr_def_11))))
| ~ d(f(iPr_def_10,iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_377,c_301]) ).
tcf(c_379,plain,
d(s(s(f(iPr_def_10,iPr_def_11)))),
inference(forward_subsumption_resolution,[status(thm)],[c_378,c_308]) ).
tcf(c_421,plain,
( d(f(one,f(one,iPr_def_11)))
| ~ d(s(s(f(iPr_def_10,iPr_def_11)))) ),
inference(light_normalisation,[status(thm)],[c_288,c_306]) ).
tcf(c_422,plain,
d(f(one,f(one,iPr_def_11))),
inference(forward_subsumption_resolution,[status(thm)],[c_421,c_379]) ).
tcf(c_458,plain,
! [X0: $i] :
( d(f(one,f(one,s(X0))))
| ~ d(f(one,f(one,X0))) ),
inference(superposition,[status(thm)],[c_260,c_286]) ).
tcf(c_775,plain,
( d(f(one,f(iPr_def_10,iPr_def_11)))
| ~ d(f(one,f(one,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_301,c_458]) ).
tcf(c_783,plain,
d(f(one,f(iPr_def_10,iPr_def_11))),
inference(forward_subsumption_resolution,[status(thm)],[c_775,c_422]) ).
tcf(c_817,plain,
d(iPr_def_12),
inference(demodulation,[status(thm)],[c_783,c_208,c_325]) ).
tcf(c_818,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_817,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO038-1.003.003 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/15.44 % CPULimit : 300
% 0.08/15.44 % WCLimit : 300
% 0.08/15.44 % DateTime : Fri Sep 25 02:47:22 UTC 2026
% 0.08/15.45 % CPUTime :
% 0.08/15.45 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/15.48 Running first-order theorem proving
% 0.08/15.49 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
% 0.35/15.50
% 0.35/15.50 % ======== iProver multi-core TPTP/SMT =========
% 0.35/15.50
% 0.35/15.50 % Detected problem language: tptp
% 0.35/15.51 % Proving...
% 1.92/16.26 % SZS status Started for theBenchmark.p
% 1.92/16.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.92/16.26
% 1.92/16.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.92/16.26
% 1.92/16.26 % ------ iProver source info
% 1.92/16.26
% 1.92/16.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.92/16.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.92/16.26 % git: non_committed_changes: false
% 1.92/16.26
% 1.92/16.26 % ------ Parsing...% successful
% 1.92/16.26
% 1.92/16.26
% 1.92/16.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.92/16.26
% 1.92/16.26 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.92/16.26
% 1.92/16.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.92/16.26
% 1.92/16.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.92/16.26 % ------ Proving...
% 1.92/16.26 % ------ Problem Properties
% 1.92/16.26
% 1.92/16.26 %
% 1.92/16.26 % clauses 9
% 1.92/16.26 % conjectures 1
% 1.92/16.26 % EPR 2
% 1.92/16.26 % Horn 9
% 1.92/16.26 % unary 8
% 1.92/16.26 % binary 1
% 1.92/16.26 % lits 10
% 1.92/16.26 % lits eq 6
% 1.92/16.26 % fd_pure 0
% 1.92/16.26 % fd_pseudo 0
% 1.92/16.26 % fd_cond 0
% 1.92/16.26 % fd_pseudo_cond 0
% 1.92/16.26 % AC symbols 0
% 1.92/16.26
% 1.92/16.26 % ------ Schedule dynamic 5 is on
% 1.92/16.26
% 1.92/16.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.92/16.26
% 1.92/16.26
% 1.92/16.26 % ------
% 1.92/16.26 % Current options:
% 1.92/16.26 % ------
% 1.92/16.26
% 1.92/16.26
% 1.92/16.26 %
% 1.92/16.26
% 1.92/16.26 % ------ Proving...
% 1.92/16.26 %
% 1.92/16.26
% 1.92/16.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.92/16.26
% 1.92/16.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.92/16.26
%------------------------------------------------------------------------------