%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO498+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n007.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 01:21:10 PM UTC 2026
% Result : Theorem 3.40s 1.28s
% Output : CNFRefutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 20 unt; 2 def)
% Number of atoms : 41 ( 31 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 4 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 14 !; 4 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f99,axiom,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_7) ).
fof(f100,conjecture,
! [X0,X1,X2,X3] :
( X1 = X3
| s(X0,X3) != X2
| s(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_8) ).
fof(f101,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( X1 = X3
| s(X0,X3) != X2
| s(X0,X1) != X2 ),
inference(negated_conjecture,[status(cth)],[f100]) ).
fof(f112,plain,
? [X0,X1,X2,X3] :
( X1 != X3
& s(X0,X3) = X2
& s(X0,X1) = X2 ),
inference(ennf_transformation,[],[f101]) ).
fof(f113,plain,
( sK1 != sK3
& sK2 = s(sK0,sK3)
& sK2 = s(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f112]) ).
fof(f226,plain,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[],[f99]) ).
fof(f227,plain,
sK1 != sK3,
inference(cnf_transformation,[],[f113]) ).
fof(f228,plain,
sK2 = s(sK0,sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f229,plain,
sK2 = s(sK0,sK1),
inference(cnf_transformation,[],[f113]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i] : s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[],[f226]) ).
tcf(c_162,negated_conjecture,
s(sK0,sK1) = sK2,
inference(cnf_transformation,[],[f229]) ).
tcf(c_163,negated_conjecture,
s(sK0,sK3) = sK2,
inference(cnf_transformation,[],[f228]) ).
tcf(c_164,negated_conjecture,
sK1 != sK3,
inference(cnf_transformation,[],[f227]) ).
tcf(c_3829,definition,
iPr_def_10 = s(sK0,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_3830,definition,
iPr_def_11 = s(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_3831,negated_conjecture,
sK1 != sK3,
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_3832,negated_conjecture,
iPr_def_10 = sK2,
inference(demodulation,[status(thm)],[c_163,c_3829]) ).
tcf(c_3833,negated_conjecture,
iPr_def_11 = sK2,
inference(demodulation,[status(thm)],[c_162,c_3830]) ).
tcf(c_5395,plain,
iPr_def_10 = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_3833,c_3832]) ).
tcf(c_5397,plain,
s(sK0,sK1) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3830,c_5395]) ).
tcf(c_5399,plain,
s(sK0,iPr_def_10) = sK1,
inference(superposition,[status(thm)],[c_5397,c_161]) ).
tcf(c_5400,plain,
s(sK0,iPr_def_10) = sK3,
inference(superposition,[status(thm)],[c_3829,c_161]) ).
tcf(c_5415,plain,
sK1 = sK3,
inference(light_normalisation,[status(thm)],[c_5400,c_5399]) ).
tcf(c_5416,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5415,c_3831]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO498+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 12:11:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 3.40/1.28 % SZS status Started for theBenchmark.p
% 3.40/1.28 % SZS status Theorem for theBenchmark.p
% 3.40/1.28
% 3.40/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.40/1.28
% 3.40/1.28 % ------ iProver source info
% 3.40/1.28
% 3.40/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.40/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.40/1.28 % git: non_committed_changes: false
% 3.40/1.28
% 3.40/1.28 % ------ Parsing...
% 3.40/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.40/1.28
% 3.40/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.40/1.28
% 3.40/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.40/1.28
% 3.40/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.40/1.28 % ------ Proving...
% 3.40/1.28 % ------ Problem Properties
% 3.40/1.28
% 3.40/1.28 %
% 3.40/1.28 % clauses 126
% 3.40/1.28 % conjectures 3
% 3.40/1.28 % EPR 100
% 3.40/1.28 % Horn 99
% 3.40/1.28 % unary 28
% 3.40/1.28 % binary 39
% 3.40/1.28 % lits 353
% 3.40/1.28 % lits eq 61
% 3.40/1.28 % fd_pure 0
% 3.40/1.28 % fd_pseudo 0
% 3.40/1.28 % fd_cond 0
% 3.40/1.28 % fd_pseudo_cond 31
% 3.40/1.28 % AC symbols 0
% 3.40/1.28
% 3.40/1.28 % ------ Schedule dynamic 5 is on
% 3.40/1.28
% 3.40/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.40/1.28
% 3.40/1.28
% 3.40/1.28 % ------
% 3.40/1.28 % Current options:
% 3.40/1.28 % ------
% 3.40/1.28
% 3.40/1.28
% 3.40/1.28 %
% 3.40/1.28
% 3.40/1.28 % ------ Proving...
% 3.40/1.28 %
% 3.40/1.28
% 3.40/1.28 % SZS status Theorem for theBenchmark.p
% 3.40/1.28
% 3.40/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.40/1.28
% 3.40/1.28
%------------------------------------------------------------------------------