%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG077+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 : n008.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 02:38:45 PM UTC 2026
% Result : Theorem 8.85s 4.30s
% Output : CNFRefutation 8.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 22 unt; 0 def)
% Number of atoms : 110 ( 37 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 113 ( 51 ~; 44 |; 16 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
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(f44,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).
fof(f48,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f59,conjecture,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f60,negated_conjecture,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f61,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(flattening,[],[f60]) ).
fof(f82,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f83,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f82]) ).
fof(f108,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(f109,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,[],[f108]) ).
fof(f136,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f144,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f150,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f153,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f154,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f162,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(cnf_transformation,[],[f61]) ).
fof(f170,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f193,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_62,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f136]) ).
tcf(c_70,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f144]) ).
tcf(c_76,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f150]) ).
tcf(c_80,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f154]) ).
tcf(c_81,plain,
sdtasdt0(xE,xH) = xP,
inference(cnf_transformation,[],[f153]) ).
tcf(c_89,negated_conjecture,
sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
inference(cnf_transformation,[],[f162]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_746,plain,
sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
inference(light_normalisation,[status(thm)],[c_89,c_81]) ).
tcf(c_1636,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ aScalar0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_123]) ).
tcf(c_1637,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_123]) ).
tcf(c_1638,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_123]) ).
tcf(c_2609,plain,
~ iPr_def_10,
inference(superposition,[status(thm)],[c_62,c_1636]) ).
tcf(c_2623,plain,
iPr_def_11,
inference(backward_subsumption_resolution,[status(thm)],[c_1638,c_2609]) ).
tcf(c_3721,plain,
! [X0: $i] :
( aScalar0(sdtasdt0(xH,X0))
| ~ aScalar0(xH)
| ~ aScalar0(X0) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_5680,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xP,X0),X1) = sdtpldt0(xP,sdtpldt0(X0,X1)) )
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_10345,plain,
( aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(xH) ),
inference(instantiation,[status(thm)],[c_3721]) ).
tcf(c_13098,plain,
! [X0: $i,X1: $i] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_1637,c_1637,c_2623]) ).
tcf(c_13099,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(renaming,[status(thm)],[c_13098]) ).
tcf(c_13110,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xE) = sdtasdt0(xE,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_70,c_13099]) ).
tcf(c_19155,plain,
sdtasdt0(xE,xH) = sdtasdt0(xH,xE),
inference(superposition,[status(thm)],[c_76,c_13110]) ).
tcf(c_19229,plain,
sdtasdt0(xH,xE) = xP,
inference(light_normalisation,[status(thm)],[c_19155,c_81]) ).
tcf(c_19253,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))),
inference(demodulation,[status(thm)],[c_746,c_19229]) ).
tcf(c_50236,plain,
( ( sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))) )
| ~ aScalar0(xP)
| ~ aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[c_5680]) ).
tcf(c_50239,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_50236,c_19253,c_10345,c_76,c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG077+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 08:07:54 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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
% 0.16/0.42
% 0.16/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.42
% 0.16/0.42 % Detected problem language: tptp
% 0.16/0.44 % Proving...
% 8.85/4.30 % SZS status Started for theBenchmark.p
% 8.85/4.30 % SZS status Theorem for theBenchmark.p
% 8.85/4.30
% 8.85/4.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.85/4.30
% 8.85/4.30 % ------ iProver source info
% 8.85/4.30
% 8.85/4.30 % git: date: 2026-07-19 20:42:38 +0200
% 8.85/4.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.85/4.30 % git: non_committed_changes: false
% 8.85/4.30
% 8.85/4.30 % ------ Parsing...
% 8.85/4.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.85/4.30
% 8.85/4.30 % ------ Preprocessing... sup_sim: 3 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 %
% 8.85/4.30
% 8.85/4.30 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.85/4.30
% 8.85/4.30 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 8.85/4.30 % ------ Proving...
% 8.85/4.30 % ------ Problem Properties
% 8.85/4.30
% 8.85/4.30 %
% 8.85/4.30 % clauses 82
% 8.85/4.30 % conjectures 0
% 8.85/4.30 % EPR 25
% 8.85/4.30 % Horn 70
% 8.85/4.30 % unary 40
% 8.85/4.30 % binary 11
% 8.85/4.30 % lits 202
% 8.85/4.30 % lits eq 61
% 8.85/4.30 % fd_pure 0
% 8.85/4.30 % fd_pseudo 0
% 8.85/4.30 % fd_cond 1
% 8.85/4.30 % fd_pseudo_cond 5
% 8.85/4.30 % AC symbols 0
% 8.85/4.30
% 8.85/4.30 % ------ Schedule dynamic 5 is on
% 8.85/4.30
% 8.85/4.30 % ------ no conjectures: strip conj schedule
% 8.85/4.30
% 8.85/4.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 8.85/4.30
% 8.85/4.30
% 8.85/4.30 % ------
% 8.85/4.30 % Current options:
% 8.85/4.30 % ------
% 8.85/4.30
% 8.85/4.30
% 8.85/4.30 %
% 8.85/4.30
% 8.85/4.30 % ------ Proving...
% 8.85/4.30 %
% 8.85/4.30
% 8.85/4.30 % SZS status Theorem for theBenchmark.p
% 8.85/4.30
% 8.85/4.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.85/4.31
% 8.85/4.31
%------------------------------------------------------------------------------