%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG077+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n006.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 29.67s 4.91s
% Output : CNFRefutation 29.67s
% 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mArith) ).
fof(f44,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).
fof(f48,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox2/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/sandbox2/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(f80,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f81,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f80]) ).
fof(f101,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(f102,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,[],[f101]) ).
fof(f130,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f138,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f144,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f147,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f148,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f156,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(cnf_transformation,[],[f61]) ).
fof(f164,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f185,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_58,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f130]) ).
tcf(c_66,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f138]) ).
tcf(c_72,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f144]) ).
tcf(c_76,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f148]) ).
tcf(c_77,plain,
sdtasdt0(xE,xH) = xP,
inference(cnf_transformation,[],[f147]) ).
tcf(c_85,negated_conjecture,
sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
inference(cnf_transformation,[],[f156]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_111,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,[],[f185]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_719,plain,
sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
inference(light_normalisation,[status(thm)],[c_85,c_77]) ).
tcf(c_1589,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ aScalar0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_114]) ).
tcf(c_1590,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_114]) ).
tcf(c_1591,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_114]) ).
tcf(c_2538,plain,
~ iPr_def_10,
inference(superposition,[status(thm)],[c_58,c_1589]) ).
tcf(c_2552,plain,
iPr_def_11,
inference(backward_subsumption_resolution,[status(thm)],[c_1591,c_2538]) ).
tcf(c_3781,plain,
! [X0: $i] :
( aScalar0(sdtasdt0(xH,X0))
| ~ aScalar0(xH)
| ~ aScalar0(X0) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_6076,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_111]) ).
tcf(c_10213,plain,
( aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(xH) ),
inference(instantiation,[status(thm)],[c_3781]) ).
tcf(c_12800,plain,
! [X0: $i,X1: $i] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_1590,c_1590,c_2552]) ).
tcf(c_12801,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(renaming,[status(thm)],[c_12800]) ).
tcf(c_12812,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xE) = sdtasdt0(xE,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_66,c_12801]) ).
tcf(c_19124,plain,
sdtasdt0(xE,xH) = sdtasdt0(xH,xE),
inference(superposition,[status(thm)],[c_72,c_12812]) ).
tcf(c_19197,plain,
sdtasdt0(xH,xE) = xP,
inference(light_normalisation,[status(thm)],[c_19124,c_77]) ).
tcf(c_19221,plain,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))),
inference(demodulation,[status(thm)],[c_719,c_19197]) ).
tcf(c_47340,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_6076]) ).
tcf(c_47343,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_47340,c_19221,c_10213,c_72,c_76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG077+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 08:06:41 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 29.67/4.91 % SZS status Started for theBenchmark.p
% 29.67/4.91 % SZS status Theorem for theBenchmark.p
% 29.67/4.91
% 29.67/4.91 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 29.67/4.91
% 29.67/4.91 % ------ iProver source info
% 29.67/4.91
% 29.67/4.91 % git: date: 2026-07-19 20:42:38 +0200
% 29.67/4.91 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 29.67/4.91 % git: non_committed_changes: false
% 29.67/4.91
% 29.67/4.91 % ------ Parsing...
% 29.67/4.91 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 29.67/4.91
% 29.67/4.91 % ------ Preprocessing... sup_sim: 2 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 %
% 29.67/4.91
% 29.67/4.91 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 29.67/4.91
% 29.67/4.91 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 29.67/4.91 % ------ Proving...
% 29.67/4.91 % ------ Problem Properties
% 29.67/4.91
% 29.67/4.91 %
% 29.67/4.91 % clauses 78
% 29.67/4.91 % conjectures 0
% 29.67/4.91 % EPR 25
% 29.67/4.91 % Horn 66
% 29.67/4.91 % unary 38
% 29.67/4.91 % binary 9
% 29.67/4.91 % lits 196
% 29.67/4.91 % lits eq 57
% 29.67/4.91 % fd_pure 0
% 29.67/4.91 % fd_pseudo 0
% 29.67/4.91 % fd_cond 1
% 29.67/4.91 % fd_pseudo_cond 5
% 29.67/4.91 % AC symbols 0
% 29.67/4.91
% 29.67/4.91 % ------ Schedule dynamic 5 is on
% 29.67/4.91
% 29.67/4.91 % ------ no conjectures: strip conj schedule
% 29.67/4.91
% 29.67/4.91 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 29.67/4.91
% 29.67/4.91
% 29.67/4.91 % ------
% 29.67/4.91 % Current options:
% 29.67/4.91 % ------
% 29.67/4.91
% 29.67/4.91
% 29.67/4.91 %
% 29.67/4.91
% 29.67/4.91 % ------ Proving...
% 29.67/4.91 %
% 29.67/4.91
% 29.67/4.91 % SZS status Theorem for theBenchmark.p
% 29.67/4.91
% 29.67/4.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 29.67/4.91
% 29.67/4.91
%------------------------------------------------------------------------------