%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM475+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.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 02:25:09 PM UTC 2026
% Result : Theorem 6.63s 1.74s
% Output : CNFRefutation 6.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 20 unt; 0 def)
% Number of atoms : 121 ( 52 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 142 ( 70 ~; 55 |; 13 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( sz10 != sz00
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(f34,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
fof(f37,axiom,
( xp = sdtsldt0(xm,xl)
& xm = sdtasdt0(xl,xp)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1360) ).
fof(f40,axiom,
( xr = sdtmndt0(xq,xp)
& sdtpldt0(xp,xr) = xq
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1422) ).
fof(f41,axiom,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1459) ).
fof(f42,conjecture,
xn = sdtasdt0(xl,xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f43,negated_conjecture,
xn != sdtasdt0(xl,xr),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f47,plain,
xn != sdtasdt0(xl,xr),
inference(flattening,[],[f43]) ).
fof(f51,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f52,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f54,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f53]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| X1 = X2 ),
inference(ennf_transformation,[],[f14]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| X1 = X2 ),
inference(flattening,[],[f66]) ).
fof(f114,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f118,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f67]) ).
fof(f167,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f169,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f179,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f37]) ).
fof(f188,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f40]) ).
fof(f189,plain,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn),
inference(cnf_transformation,[],[f41]) ).
fof(f190,plain,
xn != sdtasdt0(xl,xr),
inference(cnf_transformation,[],[f47]) ).
tcf(c_51,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f114]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2) ) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_102,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f169]) ).
tcf(c_104,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f167]) ).
tcf(c_112,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f179]) ).
tcf(c_121,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f188]) ).
tcf(c_124,plain,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn),
inference(cnf_transformation,[],[f189]) ).
tcf(c_125,negated_conjecture,
sdtasdt0(xl,xr) != xn,
inference(cnf_transformation,[],[f190]) ).
tcf(c_1049,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_2087,plain,
! [X0: $i] :
( ( sz10 != X0 )
| ( sz00 != X0 ) ),
inference(resolution,[status(thm)],[c_1049,c_51]) ).
tcf(c_2096,plain,
! [X0: $i,X1: $i] :
( ( sz10 != X1 )
| ( sz00 != X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_2087,c_1049]) ).
tcf(c_2177,plain,
( ( sz10 != sdtpldt0(sdtasdt0(xl,xp),xn) )
| ( sz00 != sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) ) ),
inference(resolution,[status(thm)],[c_2096,c_124]) ).
tcf(c_2235,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xr))
| ( sdtpldt0(X0,sdtasdt0(xl,xr)) != sdtpldt0(X0,xn) ) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_2304,plain,
! [X0: $i] :
( ( sz10 != sdtpldt0(sdtasdt0(xl,xp),xn) )
| ( sz00 != X0 )
| ( sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != X0 ) ),
inference(resolution,[status(thm)],[c_2177,c_1049]) ).
tcf(c_2399,plain,
( aNaturalNumber0(sdtasdt0(xl,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_3462,plain,
( ( sdtasdt0(xl,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,xp))
| ( sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn) ) ),
inference(instantiation,[status(thm)],[c_2235]) ).
tcf(c_3756,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,xp))
| ( sz10 != sdtpldt0(sdtasdt0(xl,xp),xn) )
| ( sz00 != sdtpldt0(sdtasdt0(xl,xr),sdtasdt0(xl,xp)) ) ),
inference(resolution,[status(thm)],[c_2304,c_54]) ).
tcf(c_3757,plain,
~ aNaturalNumber0(sdtasdt0(xl,xp)),
inference(global_subsumption_just,[status(thm)],[c_3756,c_121,c_104,c_102,c_125,c_124,c_2399,c_3462]) ).
tcf(c_3793,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(resolution,[status(thm)],[c_3757,c_53]) ).
tcf(c_3794,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3793,c_102,c_112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM475+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 04:10:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 6.63/1.74 % SZS status Started for theBenchmark.p
% 6.63/1.74 % SZS status Theorem for theBenchmark.p
% 6.63/1.74
% 6.63/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.63/1.74
% 6.63/1.74 % ------ iProver source info
% 6.63/1.74
% 6.63/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 6.63/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.63/1.74 % git: non_committed_changes: false
% 6.63/1.74
% 6.63/1.74 % ------ Parsing...
% 6.63/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.63/1.74
% 6.63/1.74 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 6.63/1.74
% 6.63/1.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.63/1.74
% 6.63/1.74 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.63/1.74 % ------ Proving...
% 6.63/1.74 % ------ Problem Properties
% 6.63/1.74
% 6.63/1.74 %
% 6.63/1.74 % clauses 72
% 6.63/1.74 % conjectures 1
% 6.63/1.74 % EPR 21
% 6.63/1.74 % Horn 59
% 6.63/1.74 % unary 27
% 6.63/1.74 % binary 7
% 6.63/1.74 % lits 212
% 6.63/1.74 % lits eq 61
% 6.63/1.74 % fd_pure 0
% 6.63/1.74 % fd_pseudo 0
% 6.63/1.74 % fd_cond 6
% 6.63/1.74 % fd_pseudo_cond 9
% 6.63/1.74 % AC symbols 0
% 6.63/1.74
% 6.63/1.74 % ------ Input Options Time Limit: Unbounded
% 6.63/1.74
% 6.63/1.74
% 6.63/1.74 % ------
% 6.63/1.74 % Current options:
% 6.63/1.74 % ------
% 6.63/1.74
% 6.63/1.74
% 6.63/1.74 %
% 6.63/1.74
% 6.63/1.74 % ------ Proving...
% 6.63/1.74 %
% 6.63/1.74
% 6.63/1.74 % SZS status Theorem for theBenchmark.p
% 6.63/1.74
% 6.63/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.63/1.74
% 6.63/1.74
%------------------------------------------------------------------------------