%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LDA007-2 : TPTP v9.3.1. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 02:10:57 PM UTC 2026
% Result : Unsatisfiable 4.14s 6.21s
% Output : CNFRefutation 4.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 24 unt; 2 def)
% Number of atoms : 30 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 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 : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
fof(f11,axiom,
tt = f(t,t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f13,axiom,
ts = f(t,s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f14,axiom,
tt_ts = f(tt,ts),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f17,axiom,
tk = f(t,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f19,axiom,
tsk = f(ts,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f21,negated_conjecture,
f(t,tsk) != f(tt_ts,tk),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] : f(f(X0,X1),f(X0,X2)) = f(X0,f(X1,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_78,plain,
f(t,t) = tt,
inference(cnf_transformation,[],[f11]) ).
tcf(c_80,plain,
f(t,s) = ts,
inference(cnf_transformation,[],[f13]) ).
tcf(c_81,plain,
f(tt,ts) = tt_ts,
inference(cnf_transformation,[],[f14]) ).
tcf(c_84,plain,
f(t,k) = tk,
inference(cnf_transformation,[],[f17]) ).
tcf(c_86,plain,
f(ts,k) = tsk,
inference(cnf_transformation,[],[f19]) ).
tcf(c_88,negated_conjecture,
f(t,tsk) != f(tt_ts,tk),
inference(cnf_transformation,[],[f21]) ).
tcf(c_172,definition,
iPr_def_10 = f(t,tsk),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_173,definition,
iPr_def_11 = f(tt_ts,tk),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_174,negated_conjecture,
iPr_def_10 != iPr_def_11,
inference(demodulation,[status(thm)],[c_88,c_173,c_172]) ).
tcf(c_564,plain,
! [X0: $i] : f(tt,f(t,X0)) = f(t,f(t,X0)),
inference(superposition,[status(thm)],[c_78,c_69]) ).
tcf(c_581,plain,
! [X0: $i] : f(f(t,X0),tk) = f(t,f(X0,k)),
inference(superposition,[status(thm)],[c_84,c_69]) ).
tcf(c_807,plain,
f(tt,ts) = f(t,ts),
inference(superposition,[status(thm)],[c_80,c_564]) ).
tcf(c_813,plain,
f(t,ts) = tt_ts,
inference(light_normalisation,[status(thm)],[c_807,c_81]) ).
tcf(c_4399,plain,
f(t,f(ts,k)) = f(tt_ts,tk),
inference(superposition,[status(thm)],[c_813,c_581]) ).
tcf(c_4415,plain,
iPr_def_10 = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_4399,c_86,c_172,c_173]) ).
tcf(c_4416,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4415,c_174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LDA007-2 : TPTP v9.3.1. Bugfixed v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/5.37 % Computer : n003.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Thu Sep 24 00:47:10 UTC 2026
% 0.08/5.38 % CPUTime :
% 0.08/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.44 Running first-order theorem proving
% 0.14/5.44 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
% 0.14/5.45
% 0.14/5.45 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.45
% 0.14/5.45 % Detected problem language: tptp
% 0.14/5.46 % Proving...
% 4.14/6.21 % SZS status Started for theBenchmark.p
% 4.14/6.21 % SZS status Unsatisfiable for theBenchmark.p
% 4.14/6.21
% 4.14/6.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.14/6.21
% 4.14/6.21 % ------ iProver source info
% 4.14/6.21
% 4.14/6.21 % git: date: 2026-07-19 20:42:38 +0200
% 4.14/6.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.14/6.21 % git: non_committed_changes: false
% 4.14/6.21
% 4.14/6.21 % ------ Parsing...% successful
% 4.14/6.21
% 4.14/6.21
% 4.14/6.21 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.14/6.21
% 4.14/6.21 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.14/6.21
% 4.14/6.21 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.14/6.21
% 4.14/6.21 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.14/6.21 % ------ Proving...
% 4.14/6.21 % ------ Problem Properties
% 4.14/6.21
% 4.14/6.21 %
% 4.14/6.21 % clauses 22
% 4.14/6.21 % conjectures 1
% 4.14/6.21 % EPR 2
% 4.14/6.21 % Horn 20
% 4.14/6.21 % unary 17
% 4.14/6.21 % binary 5
% 4.14/6.21 % lits 27
% 4.14/6.21 % lits eq 20
% 4.14/6.21 % fd_pure 0
% 4.14/6.21 % fd_pseudo 0
% 4.14/6.21 % fd_cond 0
% 4.14/6.21 % fd_pseudo_cond 0
% 4.14/6.21 % AC symbols 0
% 4.14/6.21
% 4.14/6.21 % ------ Schedule dynamic 5 is on
% 4.14/6.21
% 4.14/6.21 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.14/6.21
% 4.14/6.21
% 4.14/6.21 % ------
% 4.14/6.21 % Current options:
% 4.14/6.21 % ------
% 4.14/6.21
% 4.14/6.21
% 4.14/6.21 %
% 4.14/6.21
% 4.14/6.21 % ------ Proving...
% 4.14/6.21 %
% 4.14/6.21
% 4.14/6.21 % SZS status Unsatisfiable for theBenchmark.p
% 4.14/6.21
% 4.14/6.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.14/6.21
% 4.14/6.21
%------------------------------------------------------------------------------