%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LDA007-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 0.89s 6.19s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 2 ( 0 usr; 1 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/sandbox/benchmark/theBenchmark.p',a1) ).
fof(f2,axiom,
tt = f(t,t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f3,axiom,
ts = f(t,s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f4,axiom,
tt_ts = f(tt,ts),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f5,axiom,
tk = f(t,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f6,axiom,
tsk = f(ts,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f7,negated_conjecture,
f(t,tsk) != f(tt_ts,tk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
tcf(c_56,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_57,plain,
f(t,t) = tt,
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,plain,
f(t,s) = ts,
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,plain,
f(tt,ts) = tt_ts,
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,plain,
f(t,k) = tk,
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,plain,
f(ts,k) = tsk,
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,negated_conjecture,
f(t,tsk) != f(tt_ts,tk),
inference(cnf_transformation,[],[f7]) ).
tcf(c_115,plain,
! [X0: $i] : f(tt,f(t,X0)) = f(t,f(t,X0)),
inference(superposition,[status(thm)],[c_57,c_56]) ).
tcf(c_124,plain,
! [X0: $i] : f(f(t,X0),tk) = f(t,f(X0,k)),
inference(superposition,[status(thm)],[c_60,c_56]) ).
tcf(c_141,plain,
f(tt,ts) = f(t,ts),
inference(superposition,[status(thm)],[c_58,c_115]) ).
tcf(c_145,plain,
f(t,ts) = tt_ts,
inference(light_normalisation,[status(thm)],[c_141,c_59]) ).
tcf(c_591,plain,
f(t,f(ts,k)) = f(tt_ts,tk),
inference(superposition,[status(thm)],[c_145,c_124]) ).
tcf(c_602,plain,
f(t,tsk) = f(tt_ts,tk),
inference(light_normalisation,[status(thm)],[c_591,c_61]) ).
tcf(c_603,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_602,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LDA007-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.37 % Computer : n003.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Thu Sep 24 00:47:10 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41 Running UEQ theorem proving
% 0.14/5.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.42
% 0.14/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42
% 0.14/5.42 % Detected problem language: tptp
% 0.14/5.43 % Proving...
% 0.89/6.19 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 0.89/6.19 % SZS status Started for theBenchmark.p
% 0.89/6.19 % SZS status Unsatisfiable for theBenchmark.p
% 0.89/6.19
% 0.89/6.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.89/6.19
% 0.89/6.19 % ------ iProver source info
% 0.89/6.19
% 0.89/6.19 % git: date: 2026-07-19 20:42:38 +0200
% 0.89/6.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.89/6.19 % git: non_committed_changes: false
% 0.89/6.19
% 0.89/6.19 % ------ Parsing...% successful
% 0.89/6.19
% 0.89/6.19
% 0.89/6.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.89/6.19
% 0.89/6.19 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.89/6.19
% 0.89/6.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.89/6.19
% 0.89/6.19 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.89/6.19 % ------ Proving...
% 0.89/6.19 % ------ Problem Properties
% 0.89/6.19
% 0.89/6.19 %
% 0.89/6.19 % clauses 7
% 0.89/6.19 % conjectures 1
% 0.89/6.19 % EPR 0
% 0.89/6.19 % Horn 7
% 0.89/6.19 % unary 7
% 0.89/6.19 % binary 0
% 0.89/6.19 % lits 7
% 0.89/6.19 % lits eq 7
% 0.89/6.19 % fd_pure 0
% 0.89/6.19 % fd_pseudo 0
% 0.89/6.19 % fd_cond 0
% 0.89/6.19 % fd_pseudo_cond 0
% 0.89/6.19 % AC symbols 0
% 0.89/6.19
% 0.89/6.19 % ------ Input Options Time Limit: Unbounded
% 0.89/6.19
% 0.89/6.19
% 0.89/6.19 % ------
% 0.89/6.19 % Current options:
% 0.89/6.19 % ------
% 0.89/6.19
% 0.89/6.19
% 0.89/6.19 %
% 0.89/6.19
% 0.89/6.19 % ------ Proving...
% 0.89/6.19 %
% 0.89/6.19
% 0.89/6.19 % SZS status Unsatisfiable for theBenchmark.p
% 0.89/6.19
% 0.89/6.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.89/6.19
% 0.89/6.19
%------------------------------------------------------------------------------