%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG059+1 : 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 : n017.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 02:38:28 PM UTC 2026
% Result : Theorem 4.36s 7.14s
% Output : CNFRefutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 52 ( 21 unt; 0 def)
% Number of atoms : 126 ( 59 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 143 ( 69 ~; 54 |; 18 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(f58,conjecture,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f59,negated_conjecture,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(negated_conjecture,[status(cth)],[f58]) ).
fof(f65,plain,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(flattening,[],[f59]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
inference(flattening,[],[f78]) ).
fof(f84,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
inference(flattening,[],[f84]) ).
fof(f132,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f151,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f202,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f206,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f207,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f211,plain,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(cnf_transformation,[],[f65]) ).
tcf(c_56,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f132]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_125,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f202]) ).
tcf(c_129,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f206]) ).
tcf(c_132,plain,
sdtasdt0(xR,xS) = xN,
inference(cnf_transformation,[],[f207]) ).
tcf(c_135,negated_conjecture,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(cnf_transformation,[],[f211]) ).
tcf(c_1107,negated_conjecture,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(subtyping,[status(esa)],[c_135]) ).
tcf(c_1110,plain,
sdtasdt0(xR,xS) = xN,
inference(subtyping,[status(esa)],[c_132]) ).
tcf(c_1165,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ( sdtasdt0(smndt0(X0_iProver_sdtlseqdt0_2),X1_iProver_sdtlseqdt0_2) = smndt0(sdtasdt0(X0_iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2)) )
| ~ aScalar0(X1_iProver_sdtlseqdt0_2)
| ~ aScalar0(X0_iProver_sdtlseqdt0_2) ),
inference(subtyping,[status(esa)],[c_76]) ).
tcf(c_1170,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X2_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ( sdtasdt0(X0_iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2) = sdtasdt0(X1_iProver_sdtlseqdt0_2,X0_iProver_sdtlseqdt0_2) )
| ~ aScalar0(X2_iProver_sdtlseqdt0_2)
| ~ aScalar0(X1_iProver_sdtlseqdt0_2)
| ~ aScalar0(X0_iProver_sdtlseqdt0_2) ),
inference(subtyping,[status(esa)],[c_71]) ).
tcf(c_1172,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X2_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ( sdtpldt0(X0_iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2) = sdtpldt0(X1_iProver_sdtlseqdt0_2,X0_iProver_sdtlseqdt0_2) )
| ~ aScalar0(X2_iProver_sdtlseqdt0_2)
| ~ aScalar0(X1_iProver_sdtlseqdt0_2)
| ~ aScalar0(X0_iProver_sdtlseqdt0_2) ),
inference(subtyping,[status(esa)],[c_69]) ).
tcf(c_1191,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ~ iPr_def_10
| ~ aScalar0(X0_iProver_sdtlseqdt0_2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_1172]) ).
tcf(c_1194,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ~ iPr_def_12
| ( sdtasdt0(X0_iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2) = sdtasdt0(X1_iProver_sdtlseqdt0_2,X0_iProver_sdtlseqdt0_2) )
| ~ aScalar0(X1_iProver_sdtlseqdt0_2)
| ~ aScalar0(X0_iProver_sdtlseqdt0_2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_1170]) ).
tcf(c_1195,plain,
( iPr_def_12
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1170]) ).
tcf(c_1202,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X2_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ( X2_iProver_sdtlseqdt0_2 = X0_iProver_sdtlseqdt0_2 )
| ( X2_iProver_sdtlseqdt0_2 != X1_iProver_sdtlseqdt0_2 )
| ( X0_iProver_sdtlseqdt0_2 != X1_iProver_sdtlseqdt0_2 ) ),
theory(equality) ).
tcf(c_1208,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ( smndt0(X0_iProver_sdtlseqdt0_2) = smndt0(X1_iProver_sdtlseqdt0_2) )
| ( X0_iProver_sdtlseqdt0_2 != X1_iProver_sdtlseqdt0_2 ) ),
theory(equality) ).
tcf(c_1254,plain,
( ~ iPr_def_10
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_1191]) ).
tcf(c_1264,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ~ aScalar0(X0_iProver_sdtlseqdt0_2)
| ~ aScalar0(X1_iProver_sdtlseqdt0_2)
| ( sdtasdt0(X0_iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2) = sdtasdt0(X1_iProver_sdtlseqdt0_2,X0_iProver_sdtlseqdt0_2) ) ),
inference(global_subsumption_just,[status(thm)],[c_1194,c_56,c_1254,c_1194,c_1195]) ).
tcf(c_1265,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ( sdtasdt0(X0_iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2) = sdtasdt0(X1_iProver_sdtlseqdt0_2,X0_iProver_sdtlseqdt0_2) )
| ~ aScalar0(X1_iProver_sdtlseqdt0_2)
| ~ aScalar0(X0_iProver_sdtlseqdt0_2) ),
inference(renaming,[status(thm)],[c_1264]) ).
tcf(c_2480,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ( smndt0(xN) != X0_iProver_sdtlseqdt0_2 )
| ( sdtasdt0(smndt0(xS),xR) != X0_iProver_sdtlseqdt0_2 ) ),
inference(resolution,[status(thm)],[c_1202,c_1107]) ).
tcf(c_2484,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR)
| ( smndt0(xN) != smndt0(sdtasdt0(xS,xR)) ) ),
inference(resolution,[status(thm)],[c_2480,c_1165]) ).
tcf(c_2485,plain,
smndt0(xN) != smndt0(sdtasdt0(xS,xR)),
inference(global_subsumption_just,[status(thm)],[c_2484,c_129,c_125,c_2484]) ).
tcf(c_2492,plain,
xN != sdtasdt0(xS,xR),
inference(resolution,[status(thm)],[c_2485,c_1208]) ).
tcf(c_2503,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ( xN != X0_iProver_sdtlseqdt0_2 )
| ( sdtasdt0(xS,xR) != X0_iProver_sdtlseqdt0_2 ) ),
inference(resolution,[status(thm)],[c_2492,c_1202]) ).
tcf(c_2556,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR)
| ( xN != sdtasdt0(xR,xS) ) ),
inference(resolution,[status(thm)],[c_1265,c_2503]) ).
tcf(c_2557,plain,
xN != sdtasdt0(xR,xS),
inference(global_subsumption_just,[status(thm)],[c_2556,c_129,c_125,c_2556]) ).
tcf(c_2562,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ( xN != X0_iProver_sdtlseqdt0_2 )
| ( sdtasdt0(xR,xS) != X0_iProver_sdtlseqdt0_2 ) ),
inference(resolution,[status(thm)],[c_2557,c_1202]) ).
tcf(c_2574,plain,
xN != xN,
inference(resolution,[status(thm)],[c_2562,c_1110]) ).
tcf(c_2575,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_2574]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG059+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/6.23 % Computer : n017.cluster.edu
% 0.12/6.23 % Model : x86_64 x86_64
% 0.12/6.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/6.23 % Memory : 8046.5625MB
% 0.12/6.23 % OS : Linux 6.8.0-71-generic
% 0.12/6.23 % CPULimit : 300
% 0.12/6.23 % WCLimit : 300
% 0.12/6.23 % DateTime : Thu Sep 24 07:56:23 UTC 2026
% 0.12/6.23 % CPUTime :
% 0.12/6.23 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/6.27 Running first-order theorem proving
% 0.12/6.27 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
% 0.12/6.28
% 0.12/6.28 % ======== iProver multi-core TPTP/SMT =========
% 0.12/6.28
% 0.12/6.28 % Detected problem language: tptp
% 0.12/6.29 % Proving...
% 4.36/7.14 % SZS status Started for theBenchmark.p
% 4.36/7.14 % SZS status Theorem for theBenchmark.p
% 4.36/7.14
% 4.36/7.14 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.36/7.14
% 4.36/7.14 % ------ iProver source info
% 4.36/7.14
% 4.36/7.14 % git: date: 2026-07-19 20:42:38 +0200
% 4.36/7.14 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.36/7.14 % git: non_committed_changes: false
% 4.36/7.14
% 4.36/7.14 % ------ Parsing...
% 4.36/7.14 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.36/7.14
% 4.36/7.14 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 4.36/7.14
% 4.36/7.14 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.36/7.14
% 4.36/7.14 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 4.36/7.14 % ------ Proving...
% 4.36/7.14 % ------ Problem Properties
% 4.36/7.14
% 4.36/7.14 %
% 4.36/7.14 % clauses 89
% 4.36/7.14 % conjectures 1
% 4.36/7.14 % EPR 25
% 4.36/7.14 % Horn 77
% 4.36/7.14 % unary 38
% 4.36/7.14 % binary 17
% 4.36/7.14 % lits 221
% 4.36/7.14 % lits eq 68
% 4.36/7.14 % fd_pure 0
% 4.36/7.14 % fd_pseudo 0
% 4.36/7.14 % fd_cond 1
% 4.36/7.14 % fd_pseudo_cond 5
% 4.36/7.14 % AC symbols 0
% 4.36/7.14
% 4.36/7.14 % ------ Input Options Time Limit: Unbounded
% 4.36/7.14
% 4.36/7.14
% 4.36/7.14 % ------
% 4.36/7.14 % Current options:
% 4.36/7.14 % ------
% 4.36/7.14
% 4.36/7.14
% 4.36/7.14 %
% 4.36/7.14
% 4.36/7.14 % ------ Proving...
% 4.36/7.14 %
% 4.36/7.14
% 4.36/7.14 % SZS status Theorem for theBenchmark.p
% 4.36/7.14
% 4.36/7.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.36/7.14
% 4.36/7.14
%------------------------------------------------------------------------------