%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS073+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n007.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 01:54:05 PM UTC 2026
% Result : Unsatisfiable 0.54s 1.30s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 56 ( 6 unt; 1 def)
% Number of atoms : 204 ( 8 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 242 ( 94 ~; 87 |; 48 &)
% ( 7 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 118 ( 0 sgn 98 !; 20 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ~ cp(X0)
& ? [X1] :
( ! [X2] :
( rinvF(X1,X2)
=> ? [X3] :
( cp(X3)
& rs(X2,X3) ) )
& ! [X2] :
( rinvS(X1,X2)
=> cp(X2) )
& rf(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( rf(X0,X2)
& rf(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f24,axiom,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f26,axiom,
! [X0,X1] :
( rinvS(X0,X1)
<=> rs(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f28,axiom,
cUnsatisfiable(i2003_11_14_17_18_54369),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f30,axiom,
! [X0,X1] :
( rs(X0,X1)
=> rf(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f31,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ~ cp(X0)
& ? [X1] :
( ! [X3] :
( rinvF(X1,X3)
=> ? [X4] :
( cp(X4)
& rs(X3,X4) ) )
& ! [X2] :
( rinvS(X1,X2)
=> cp(X2) )
& rf(X0,X1) ) ) ),
inference(rectify,[],[f21]) ).
fof(f68,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ~ cp(X0)
& ? [X1] :
( ! [X3] :
( ~ rinvF(X1,X3)
| ? [X4] :
( cp(X4)
& rs(X3,X4) ) )
& ! [X2] :
( ~ rinvS(X1,X2)
| cp(X2) )
& rf(X0,X1) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f22]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f69]) ).
fof(f76,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f84,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| sP0(X0) )
& ( ~ sP0(X0)
| cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f78]) ).
fof(f85,plain,
! [X0,X1] :
( ( ~ rinvF(X0,X1)
| rf(X1,X0) )
& ( ~ rf(X1,X0)
| rinvF(X0,X1) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f87,plain,
! [X0,X1] :
( ( ~ rinvS(X0,X1)
| rs(X1,X0) )
& ( ~ rs(X1,X0)
| rinvS(X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f119,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f70]) ).
fof(f124,plain,
! [X0,X1] :
( ~ rf(X1,X0)
| rinvF(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f128,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rinvS(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f130,plain,
cUnsatisfiable(i2003_11_14_17_18_54369),
inference(cnf_transformation,[],[f28]) ).
fof(f132,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_63,plain,
! [X0: $i] :
( sP0(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( rinvF(X1,X0)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( rinvS(X1,X0)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_73,plain,
cUnsatisfiable(i2003_11_14_17_18_54369),
inference(cnf_transformation,[],[f130]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_79,plain,
( sP0(i2003_11_14_17_18_54369)
| ~ cUnsatisfiable(i2003_11_14_17_18_54369) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_105,plain,
! [X0: $i] :
( sP0(X0)
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_63]) ).
fof(f77,definition,
! [X0] :
( sP0(X0)
<=> ( ~ cp(X0)
& ? [X1] :
( ! [X3] :
( ~ rinvF(X1,X3)
| ? [X4] :
( cp(X4)
& rs(X3,X4) ) )
& ! [X2] :
( ~ rinvS(X1,X2)
| cp(X2) )
& rf(X0,X1) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f78,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> sP0(X0) ),
inference(definition_folding,[],[f68,f77]) ).
fof(f80,plain,
! [X0] :
( ( ~ sP0(X0)
| ( ~ cp(X0)
& ? [X1] :
( ! [X3] :
( ~ rinvF(X1,X3)
| ? [X4] :
( cp(X4)
& rs(X3,X4) ) )
& ! [X2] :
( ~ rinvS(X1,X2)
| cp(X2) )
& rf(X0,X1) ) ) )
& ( cp(X0)
| ! [X1] :
( ? [X3] :
( rinvF(X1,X3)
& ! [X4] :
( ~ cp(X4)
| ~ rs(X3,X4) ) )
| ? [X2] :
( rinvS(X1,X2)
& ~ cp(X2) )
| ~ rf(X0,X1) )
| sP0(X0) ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f81,plain,
! [X0] :
( ( ~ sP0(X0)
| ( ~ cp(X0)
& ? [X1] :
( ! [X3] :
( ~ rinvF(X1,X3)
| ? [X4] :
( cp(X4)
& rs(X3,X4) ) )
& ! [X2] :
( ~ rinvS(X1,X2)
| cp(X2) )
& rf(X0,X1) ) ) )
& ( cp(X0)
| ! [X1] :
( ? [X3] :
( rinvF(X1,X3)
& ! [X4] :
( ~ cp(X4)
| ~ rs(X3,X4) ) )
| ? [X2] :
( rinvS(X1,X2)
& ~ cp(X2) )
| ~ rf(X0,X1) )
| sP0(X0) ) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ( ~ sP0(X0)
| ( ~ cp(X0)
& ? [X5] :
( ! [X7] :
( ~ rinvF(X5,X7)
| ? [X8] :
( cp(X8)
& rs(X7,X8) ) )
& ! [X6] :
( ~ rinvS(X5,X6)
| cp(X6) )
& rf(X0,X5) ) ) )
& ( cp(X0)
| ! [X1] :
( ? [X3] :
( rinvF(X1,X3)
& ! [X4] :
( ~ cp(X4)
| ~ rs(X3,X4) ) )
| ? [X2] :
( rinvS(X1,X2)
& ~ cp(X2) )
| ~ rf(X0,X1) )
| sP0(X0) ) ),
inference(rectify,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ( ~ sP0(X0)
| ( ~ cp(X0)
& ! [X7] :
( ~ rinvF(sK3(X0),X7)
| ( cp(sK4(X7))
& rs(X7,sK4(X7)) ) )
& ! [X6] :
( ~ rinvS(sK3(X0),X6)
| cp(X6) )
& rf(X0,sK3(X0)) ) )
& ( cp(X0)
| ! [X1] :
( ( rinvF(X1,sK2(X1))
& ! [X4] :
( ~ cp(X4)
| ~ rs(sK2(X1),X4) ) )
| ( rinvS(X1,sK1(X1))
& ~ cp(sK1(X1)) )
| ~ rf(X0,X1) )
| sP0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X2,sK1(X1)),skolemize(X3,sK2(X1)),skolemize(X5,sK3(X0)),skolemize(X8,sK4(X7))],[f82]) ).
fof(f110,plain,
! [X0] :
( ~ sP0(X0)
| ~ cp(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f112,plain,
! [X0,X7] :
( ~ sP0(X0)
| ~ rinvF(sK3(X0),X7)
| rs(X7,sK4(X7)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f113,plain,
! [X0,X6] :
( ~ sP0(X0)
| ~ rinvS(sK3(X0),X6)
| cp(X6) ),
inference(cnf_transformation,[],[f83]) ).
fof(f114,plain,
! [X0] :
( ~ sP0(X0)
| rf(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_57,plain,
! [X0: $i] :
( rf(X0,sK3(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( cp(X1)
| ~ sP0(X0)
| ~ rinvS(sK3(X0),X1) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( rs(X1,sK4(X1))
| ~ sP0(X0)
| ~ rinvF(sK3(X0),X1) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_61,plain,
! [X0: $i] :
( ~ cp(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_80,plain,
( ~ cp(i2003_11_14_17_18_54369)
| ~ sP0(i2003_11_14_17_18_54369) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_91,plain,
( cp(i2003_11_14_17_18_54369)
| ~ sP0(i2003_11_14_17_18_54369)
| ~ rinvS(sK3(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_113,plain,
! [X0: $i] :
( rf(X0,sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_63,c_57]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i] :
( rs(X1,sK4(X1))
| ~ cUnsatisfiable(X0)
| ~ rinvF(sK3(X0),X1) ),
inference(bin_hyper_res,[status(thm)],[c_59,c_105]) ).
tcf(c_2727,plain,
! [X0: $i,X1: $i] :
( ( sK3(X0) = X1 )
| ~ cUnsatisfiable(X0)
| ~ rf(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_64]) ).
tcf(c_2728,plain,
! [X0: $i] :
( rinvF(sK3(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_113,c_66]) ).
tcf(c_2787,plain,
! [X0: $i] :
( rs(X0,sK4(X0))
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_2728,c_201]) ).
tcf(c_2796,plain,
! [X0: $i] :
( rf(X0,sK4(X0))
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_2787,c_75]) ).
tcf(c_2798,plain,
! [X0: $i] :
( rinvS(sK4(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_2787,c_70]) ).
tcf(c_2851,plain,
! [X0: $i] :
( ( sK3(X0) = sK4(X0) )
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_2796,c_2727]) ).
tcf(c_2859,plain,
sK3(i2003_11_14_17_18_54369) = sK4(i2003_11_14_17_18_54369),
inference(superposition,[status(thm)],[c_73,c_2851]) ).
tcf(c_2861,plain,
( rinvS(sK3(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369)
| ~ cUnsatisfiable(i2003_11_14_17_18_54369) ),
inference(superposition,[status(thm)],[c_2859,c_2798]) ).
tcf(c_2872,plain,
rinvS(sK3(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369),
inference(forward_subsumption_resolution,[status(thm)],[c_2861,c_73]) ).
tcf(c_2874,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2872,c_91,c_80,c_79,c_73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS073+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 19:16:37 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 0.54/1.30 % SZS status Started for theBenchmark.p
% 0.54/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 0.54/1.30
% 0.54/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.54/1.30
% 0.54/1.30 % ------ iProver source info
% 0.54/1.30
% 0.54/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 0.54/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.54/1.30 % git: non_committed_changes: false
% 0.54/1.30
% 0.54/1.30 % ------ Parsing...
% 0.54/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.54/1.30
% 0.54/1.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 0.54/1.30
% 0.54/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.54/1.30
% 0.54/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.54/1.30 % ------ Proving...
% 0.54/1.30 % ------ Problem Properties
% 0.54/1.30
% 0.54/1.30 %
% 0.54/1.30 % clauses 19
% 0.54/1.30 % conjectures 0
% 0.54/1.30 % EPR 11
% 0.54/1.30 % Horn 15
% 0.54/1.30 % unary 1
% 0.54/1.30 % binary 8
% 0.54/1.30 % lits 57
% 0.54/1.30 % lits eq 3
% 0.54/1.30 % fd_pure 0
% 0.54/1.30 % fd_pseudo 0
% 0.54/1.30 % fd_cond 0
% 0.54/1.30 % fd_pseudo_cond 3
% 0.54/1.30 % AC symbols 0
% 0.54/1.30
% 0.54/1.30 % ------ Schedule dynamic 5 is on
% 0.54/1.30
% 0.54/1.30 % ------ no conjectures: strip conj schedule
% 0.54/1.30
% 0.54/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.54/1.30
% 0.54/1.30
% 0.54/1.30 % ------
% 0.54/1.30 % Current options:
% 0.54/1.30 % ------
% 0.54/1.30
% 0.54/1.30
% 0.54/1.30 %
% 0.54/1.30
% 0.54/1.30 % ------ Proving...
% 0.54/1.30 %
% 0.54/1.30
% 0.54/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 0.54/1.30
% 0.54/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.54/1.30
% 0.54/1.30
%------------------------------------------------------------------------------