%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU444+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n003.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 02:57:34 PM UTC 2026
% Result : Theorem 2.48s 1.27s
% Output : CNFRefutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 43 ( 19 unt; 7 def)
% Number of atoms : 104 ( 41 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 30 ~; 23 |; 7 &)
% ( 1 <=>; 3 =>; 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 : 11 ( 9 usr; 8 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 60 ( 0 sgn 57 !; 3 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2))
& k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2))
& k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f40,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f46,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( k2_funct_5(X2) = k10_relset_1(X1,X0,X2,X1)
& k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_relset_2) ).
fof(f51,plain,
? [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
& ( k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) != k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2))
| k1_funct_5(X2) != k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X1,X0)
| ( k2_funct_5(X2) = k10_relset_1(X1,X0,X2,X1)
& k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f78,plain,
( m2_relset_1(sK2,sK1,sK0)
& ( k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),k10_relset_1(sK1,sK0,sK2,sK1)) != k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),k2_funct_5(sK2))
| k1_funct_5(sK2) != k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),sK0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f51]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
& ( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f88,plain,
m2_relset_1(sK2,sK1,sK0),
inference(cnf_transformation,[],[f78]) ).
fof(f89,plain,
( k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),k10_relset_1(sK1,sK0,sK2,sK1)) != k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),k2_funct_5(sK2))
| k1_funct_5(sK2) != k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),sK0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_49,negated_conjecture,
( ( k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),sK0) != k1_funct_5(sK2) )
| ( k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),k10_relset_1(sK1,sK0,sK2,sK1)) != k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),k2_funct_5(sK2)) ) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_50,negated_conjecture,
m2_relset_1(sK2,sK1,sK0),
inference(cnf_transformation,[],[f88]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),X2) = k1_funct_5(X0) )
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k10_relset_1(X1,X2,X0,X1) = k2_funct_5(X0) )
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_90]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_130]) ).
tcf(c_192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),X2) = k1_funct_5(X0) )
| ~ m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_89,c_94]) ).
tcf(c_194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k10_relset_1(X1,X2,X0,X1) = k2_funct_5(X0) )
| ~ m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_89,c_95]) ).
tcf(c_587,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X2,X1)
| ( X2 != sK1 )
| ( X1 != sK0 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_131]) ).
tcf(c_588,plain,
m1_relset_1(sK2,sK1,sK0),
inference(unflattening,[status(thm)],[c_587]) ).
tcf(c_882,definition,
iPr_def_10 = k6_relset_1(sK1,sK0,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_883,definition,
iPr_def_11 = k10_relset_1(sK1,sK0,sK2,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_884,definition,
iPr_def_12 = k10_relset_1(sK0,sK1,iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_885,definition,
iPr_def_13 = k2_funct_5(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_886,definition,
iPr_def_14 = k10_relset_1(sK0,sK1,iPr_def_10,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_887,definition,
iPr_def_15 = k10_relset_1(sK0,sK1,iPr_def_10,sK0),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_888,definition,
iPr_def_16 = k1_funct_5(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_889,plain,
m1_relset_1(sK2,sK1,sK0),
inference(demodulation,[status(thm)],[c_588]) ).
tcf(c_890,negated_conjecture,
( ( iPr_def_15 != iPr_def_16 )
| ( iPr_def_12 != iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_49,c_888,c_887,c_885,c_886,c_883,c_882,c_884]) ).
tcf(c_1661,plain,
k10_relset_1(sK1,sK0,sK2,sK1) = k2_funct_5(sK2),
inference(superposition,[status(thm)],[c_889,c_194]) ).
tcf(c_1663,plain,
iPr_def_11 = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_1661,c_883,c_885]) ).
tcf(c_1664,plain,
k10_relset_1(sK0,sK1,iPr_def_10,iPr_def_11) = iPr_def_14,
inference(demodulation,[status(thm)],[c_886,c_1663]) ).
tcf(c_1666,plain,
iPr_def_12 = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_1664,c_884]) ).
tcf(c_1667,plain,
iPr_def_15 != iPr_def_16,
inference(backward_subsumption_resolution,[status(thm)],[c_890,c_1666]) ).
tcf(c_1743,plain,
k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),sK0) = k1_funct_5(sK2),
inference(superposition,[status(thm)],[c_889,c_192]) ).
tcf(c_1745,plain,
iPr_def_15 = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_1743,c_882,c_887,c_888]) ).
tcf(c_1746,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1745,c_1667]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU444+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 14:19:35 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 2.48/1.27 % SZS status Started for theBenchmark.p
% 2.48/1.27 % SZS status Theorem for theBenchmark.p
% 2.48/1.27
% 2.48/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.48/1.27
% 2.48/1.27 % ------ iProver source info
% 2.48/1.27
% 2.48/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.48/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.48/1.27 % git: non_committed_changes: false
% 2.48/1.27
% 2.48/1.27 % ------ Parsing...
% 2.48/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.48/1.27
% 2.48/1.27 % ------ 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 %
% 2.48/1.27
% 2.48/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.48/1.27
% 2.48/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.48/1.27 % ------ Proving...
% 2.48/1.27 % ------ Problem Properties
% 2.48/1.27
% 2.48/1.27 %
% 2.48/1.27 % clauses 49
% 2.48/1.27 % conjectures 1
% 2.48/1.27 % EPR 16
% 2.48/1.27 % Horn 46
% 2.48/1.27 % unary 23
% 2.48/1.27 % binary 21
% 2.48/1.27 % lits 80
% 2.48/1.27 % lits eq 17
% 2.48/1.27 % fd_pure 0
% 2.48/1.27 % fd_pseudo 0
% 2.48/1.27 % fd_cond 1
% 2.48/1.27 % fd_pseudo_cond 1
% 2.48/1.27 % AC symbols 0
% 2.48/1.27
% 2.48/1.27 % ------ Schedule dynamic 5 is on
% 2.48/1.27
% 2.48/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.48/1.27
% 2.48/1.27
% 2.48/1.27 % ------
% 2.48/1.27 % Current options:
% 2.48/1.27 % ------
% 2.48/1.27
% 2.48/1.27
% 2.48/1.27 %
% 2.48/1.27
% 2.48/1.27 % ------ Proving...
% 2.48/1.27 %
% 2.48/1.27
% 2.48/1.27 % SZS status Theorem for theBenchmark.p
% 2.48/1.27
% 2.48/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.48/1.27
% 2.48/1.27
%------------------------------------------------------------------------------