%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG091+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 : n016.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 02:38:49 PM UTC 2026
% Result : Theorem 3.78s 1.30s
% Output : CNFRefutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 21 unt; 2 def)
% Number of atoms : 104 ( 27 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 106 ( 47 ~; 40 |; 19 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 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 : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 22 !; 12 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
( aElementOf0(sdtpldt0(xl,xn),xJ)
& aElementOf0(sdtpldt0(xk,xm),xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__994) ).
fof(f30,axiom,
( aElementOf0(sdtasdt0(xz,xl),xJ)
& aElementOf0(sdtasdt0(xz,xk),xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1021) ).
fof(f31,axiom,
sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1061) ).
fof(f32,axiom,
sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1098) ).
fof(f33,conjecture,
( ( aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
| ? [X0,X1] :
( sdtpldt0(X0,X1) = sdtasdt0(xz,xx)
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ) )
& ( aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))
| ? [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(xx,xy)
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f34,negated_conjecture,
~ ( ( aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
| ? [X0,X1] :
( sdtpldt0(X0,X1) = sdtasdt0(xz,xx)
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ) )
& ( aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))
| ? [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(xx,xy)
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ) ) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f41,plain,
~ ( ( aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
| ? [X2,X3] :
( sdtasdt0(xz,xx) = sdtpldt0(X2,X3)
& aElementOf0(X3,xJ)
& aElementOf0(X2,xI) ) )
& ( aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))
| ? [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(xx,xy)
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ) ) ),
inference(rectify,[],[f34]) ).
fof(f74,plain,
( ( ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
& ! [X2,X3] :
( sdtasdt0(xz,xx) != sdtpldt0(X2,X3)
| ~ aElementOf0(X3,xJ)
| ~ aElementOf0(X2,xI) ) )
| ( ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))
& ! [X0,X1] :
( sdtpldt0(X0,X1) != sdtpldt0(xx,xy)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f163,plain,
aElementOf0(sdtpldt0(xl,xn),xJ),
inference(cnf_transformation,[],[f29]) ).
fof(f164,plain,
aElementOf0(sdtpldt0(xk,xm),xI),
inference(cnf_transformation,[],[f29]) ).
fof(f165,plain,
aElementOf0(sdtasdt0(xz,xl),xJ),
inference(cnf_transformation,[],[f30]) ).
fof(f166,plain,
aElementOf0(sdtasdt0(xz,xk),xI),
inference(cnf_transformation,[],[f30]) ).
fof(f167,plain,
sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
inference(cnf_transformation,[],[f31]) ).
fof(f168,plain,
sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)),
inference(cnf_transformation,[],[f32]) ).
fof(f172,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(xz,xx) != sdtpldt0(X2,X3)
| ~ aElementOf0(X3,xJ)
| ~ aElementOf0(X2,xI)
| sdtpldt0(X0,X1) != sdtpldt0(xx,xy)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_122,plain,
aElementOf0(sdtpldt0(xk,xm),xI),
inference(cnf_transformation,[],[f164]) ).
tcf(c_123,plain,
aElementOf0(sdtpldt0(xl,xn),xJ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_124,plain,
aElementOf0(sdtasdt0(xz,xk),xI),
inference(cnf_transformation,[],[f166]) ).
tcf(c_125,plain,
aElementOf0(sdtasdt0(xz,xl),xJ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_126,plain,
sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) = sdtpldt0(xx,xy),
inference(cnf_transformation,[],[f167]) ).
tcf(c_127,plain,
sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)) = sdtasdt0(xz,xx),
inference(cnf_transformation,[],[f168]) ).
tcf(c_128,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ aElementOf0(X3,xJ)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI)
| ( sdtpldt0(X2,X3) != sdtasdt0(xz,xx) )
| ( sdtpldt0(X0,X1) != sdtpldt0(xx,xy) ) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_3089,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ( sdtpldt0(X1,X0) != sdtasdt0(xz,xx) )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xJ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_128]) ).
tcf(c_3090,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( sdtpldt0(X1,X0) != sdtpldt0(xx,xy) )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xJ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_128]) ).
tcf(c_3091,negated_conjecture,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_128]) ).
tcf(c_3092,definition,
iPr_def_12 = sdtpldt0(xx,xy),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_3094,definition,
iPr_def_14 = sdtasdt0(xz,xx),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_3098,negated_conjecture,
( iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_3091]) ).
tcf(c_3099,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI)
| ( sdtpldt0(X0,X1) != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_3090]) ).
tcf(c_3100,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI)
| ( sdtpldt0(X0,X1) != iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_3089]) ).
tcf(c_5453,plain,
sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_126,c_3092]) ).
tcf(c_5458,plain,
( ~ iPr_def_11
| ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| ~ aElementOf0(sdtpldt0(xk,xm),xI) ),
inference(superposition,[status(thm)],[c_5453,c_3099]) ).
tcf(c_5460,plain,
~ iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_5458,c_123,c_122]) ).
tcf(c_5468,plain,
iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_3098,c_5460]) ).
tcf(c_5474,plain,
! [X0: $i,X1: $i] :
( ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI)
| ( sdtpldt0(X0,X1) != iPr_def_14 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3100,c_5468]) ).
tcf(c_5485,plain,
sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_127,c_3094]) ).
tcf(c_5510,plain,
( ~ aElementOf0(sdtasdt0(xz,xl),xJ)
| ~ aElementOf0(sdtasdt0(xz,xk),xI) ),
inference(superposition,[status(thm)],[c_5485,c_5474]) ).
tcf(c_5517,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5510,c_125,c_124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG091+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Thu Sep 24 08:15:42 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 3.78/1.30 % SZS status Started for theBenchmark.p
% 3.78/1.30 % SZS status Theorem for theBenchmark.p
% 3.78/1.30
% 3.78/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.78/1.30
% 3.78/1.30 % ------ iProver source info
% 3.78/1.30
% 3.78/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 3.78/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.78/1.30 % git: non_committed_changes: false
% 3.78/1.30
% 3.78/1.30 % ------ Parsing...
% 3.78/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.78/1.30
% 3.78/1.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.78/1.30
% 3.78/1.30 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.78/1.30
% 3.78/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.78/1.30 % ------ Proving...
% 3.78/1.30 % ------ Problem Properties
% 3.78/1.30
% 3.78/1.30 %
% 3.78/1.30 % clauses 82
% 3.78/1.30 % conjectures 6
% 3.78/1.30 % EPR 18
% 3.78/1.30 % Horn 72
% 3.78/1.30 % unary 29
% 3.78/1.30 % binary 14
% 3.78/1.30 % lits 214
% 3.78/1.30 % lits eq 44
% 3.78/1.30 % fd_pure 0
% 3.78/1.30 % fd_pseudo 0
% 3.78/1.30 % fd_cond 1
% 3.78/1.30 % fd_pseudo_cond 8
% 3.78/1.30 % AC symbols 0
% 3.78/1.30
% 3.78/1.30 % ------ Schedule dynamic 5 is on
% 3.78/1.30
% 3.78/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.78/1.30
% 3.78/1.30
% 3.78/1.30 % ------
% 3.78/1.30 % Current options:
% 3.78/1.30 % ------
% 3.78/1.30
% 3.78/1.30
% 3.78/1.30 %
% 3.78/1.30
% 3.78/1.30 % ------ Proving...
% 3.78/1.30 %
% 3.78/1.30
% 3.78/1.30 % SZS status Theorem for theBenchmark.p
% 3.78/1.30
% 3.78/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.78/1.30
% 3.78/1.30
%------------------------------------------------------------------------------