%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS111+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 01:54:11 PM UTC 2026
% Result : Unsatisfiable 1.81s 1.17s
% Output : CNFRefutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 71 ( 8 unt; 0 def)
% Number of atoms : 219 ( 19 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 256 ( 108 ~; 97 |; 42 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 138 ( 0 sgn 117 !; 21 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cp(X1)
& rf(X0,X1) )
& ? [X1] :
( cowlThing(X1)
& rs(X0,X1) )
& ? [X1] :
( cpxcomp(X1)
& rf1(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f25,axiom,
! [X0] :
( cp(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f26,axiom,
! [X0] :
( cpxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f27,axiom,
! [X0,X1,X2] :
( ( rf(X0,X2)
& rf(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f28,axiom,
! [X0,X1,X2] :
( ( rf1(X0,X2)
& rf1(X0,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f33,axiom,
cUnsatisfiable(i2003_11_14_17_21_15425),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f34,axiom,
! [X0,X1] :
( rs(X0,X1)
=> rf(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f35,axiom,
! [X0,X1] :
( rs(X0,X1)
=> rf1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f36,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X3] :
( cp(X3)
& rf(X0,X3) )
& ? [X2] :
( cowlThing(X2)
& rs(X0,X2) )
& ? [X1] :
( cpxcomp(X1)
& rf1(X0,X1) ) ) ),
inference(rectify,[],[f24]) ).
fof(f79,plain,
! [X0] :
( cp(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f27]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f28]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| X1 = X2 ),
inference(flattening,[],[f82]) ).
fof(f86,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f87,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf1(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f89,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ? [X3] :
( cp(X3)
& rf(X0,X3) )
& ? [X2] :
( cowlThing(X2)
& rs(X0,X2) )
& ? [X1] :
( cpxcomp(X1)
& rf1(X0,X1) ) ) )
& ( ! [X3] :
( ~ cp(X3)
| ~ rf(X0,X3) )
| ! [X2] :
( ~ cowlThing(X2)
| ~ rs(X0,X2) )
| ! [X1] :
( ~ cpxcomp(X1)
| ~ rf1(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f90,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ? [X3] :
( cp(X3)
& rf(X0,X3) )
& ? [X2] :
( cowlThing(X2)
& rs(X0,X2) )
& ? [X1] :
( cpxcomp(X1)
& rf1(X0,X1) ) ) )
& ( ! [X3] :
( ~ cp(X3)
| ~ rf(X0,X3) )
| ! [X2] :
( ~ cowlThing(X2)
| ~ rs(X0,X2) )
| ! [X1] :
( ~ cpxcomp(X1)
| ~ rf1(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ? [X6] :
( cp(X6)
& rf(X0,X6) )
& ? [X5] :
( cowlThing(X5)
& rs(X0,X5) )
& ? [X4] :
( cpxcomp(X4)
& rf1(X0,X4) ) ) )
& ( ! [X3] :
( ~ cp(X3)
| ~ rf(X0,X3) )
| ! [X2] :
( ~ cowlThing(X2)
| ~ rs(X0,X2) )
| ! [X1] :
( ~ cpxcomp(X1)
| ~ rf1(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(rectify,[],[f90]) ).
fof(f92,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( cp(sK2(X0))
& rf(X0,sK2(X0))
& cowlThing(sK1(X0))
& rs(X0,sK1(X0))
& cpxcomp(sK0(X0))
& rf1(X0,sK0(X0)) ) )
& ( ! [X3] :
( ~ cp(X3)
| ~ rf(X0,X3) )
| ! [X2] :
( ~ cowlThing(X2)
| ~ rs(X0,X2) )
| ! [X1] :
( ~ cpxcomp(X1)
| ~ rf1(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X4,sK0(X0)),skolemize(X5,sK1(X0)),skolemize(X6,sK2(X0))],[f91]) ).
fof(f93,plain,
! [X0] :
( ( ~ cp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| cp(X0) ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f94,plain,
! [X0] :
( ( ~ cp(X0)
| ! [X2] : ~ ra_Px1(X0,X2) )
& ( ? [X1] : ra_Px1(X0,X1)
| cp(X0) ) ),
inference(rectify,[],[f93]) ).
fof(f95,plain,
! [X0] :
( ( ~ cp(X0)
| ! [X2] : ~ ra_Px1(X0,X2) )
& ( ra_Px1(X0,sK3(X0))
| cp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f94]) ).
fof(f96,plain,
! [X0] :
( ( ~ cpxcomp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| cpxcomp(X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f97,plain,
! [X0] :
( ( ~ cpxcomp(X0)
| ? [X2] : ra_Px1(X0,X2) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| cpxcomp(X0) ) ),
inference(rectify,[],[f96]) ).
fof(f98,plain,
! [X0] :
( ( ~ cpxcomp(X0)
| ra_Px1(X0,sK4(X0)) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| cpxcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0))],[f97]) ).
fof(f127,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp(sK2(X0)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f128,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f130,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rs(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f131,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cpxcomp(sK0(X0)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f132,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf1(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f134,plain,
! [X2,X0] :
( ~ cp(X0)
| ~ ra_Px1(X0,X2) ),
inference(cnf_transformation,[],[f95]) ).
fof(f136,plain,
! [X0] :
( ~ cpxcomp(X0)
| ra_Px1(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f81]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f83]) ).
fof(f147,plain,
cUnsatisfiable(i2003_11_14_17_21_15425),
inference(cnf_transformation,[],[f33]) ).
fof(f148,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f149,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf1(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_54,plain,
! [X0: $i] :
( rf1(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_55,plain,
! [X0: $i] :
( cpxcomp(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_56,plain,
! [X0: $i] :
( rs(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_58,plain,
! [X0: $i] :
( rf(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_59,plain,
! [X0: $i] :
( cp(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( ~ cp(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_63,plain,
! [X0: $i] :
( ra_Px1(X0,sK4(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rf(X0,X2)
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ rf1(X0,X2)
| ~ rf1(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_73,plain,
cUnsatisfiable(i2003_11_14_17_21_15425),
inference(cnf_transformation,[],[f147]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_107,plain,
! [X0: $i] :
( cpxcomp(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_55]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] :
( ~ ra_Px1(X0,X1)
| ~ cp(X0) ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i] :
( ~ cp(X0)
| ~ ra_Px1(X0,X1) ),
inference(renaming,[status(thm)],[c_121]) ).
tcf(c_129,plain,
! [X0: $i] :
( ra_Px1(X0,sK4(X0))
| ~ cpxcomp(X0) ),
inference(prop_impl_just,[status(thm)],[c_63]) ).
tcf(c_469,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ cp(X0)
| ~ cpxcomp(X1)
| ( X0 != X1 )
| ( sK4(X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_122,c_129]) ).
tcf(c_470,plain,
! [X0: $i] :
( ~ cp(X0)
| ~ cpxcomp(X0) ),
inference(unflattening,[status(thm)],[c_469]) ).
tcf(c_524,plain,
! [X0: $i,X1: $i] :
( ~ cp(X1)
| ~ cUnsatisfiable(X0)
| ( sK0(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_107,c_470]) ).
tcf(c_525,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp(sK0(X0)) ),
inference(unflattening,[status(thm)],[c_524]) ).
tcf(c_526,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_15425)
| ~ cp(sK0(i2003_11_14_17_21_15425)) ),
inference(instantiation,[status(thm)],[c_525]) ).
tcf(c_1676,plain,
! [X0: $i] :
( rf(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_56,c_74]) ).
tcf(c_1684,plain,
! [X0: $i] :
( rf1(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_56,c_75]) ).
tcf(c_1694,plain,
! [X0: $i,X1: $i] :
( ( sK2(X0) = X1 )
| ~ cUnsatisfiable(X0)
| ~ rf(X0,X1) ),
inference(superposition,[status(thm)],[c_58,c_64]) ).
tcf(c_1705,plain,
! [X0: $i,X1: $i] :
( ( sK0(X0) = X1 )
| ~ cUnsatisfiable(X0)
| ~ rf1(X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_65]) ).
tcf(c_1746,plain,
! [X0: $i] :
( ( sK1(X0) = sK2(X0) )
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_1676,c_1694]) ).
tcf(c_1754,plain,
sK1(i2003_11_14_17_21_15425) = sK2(i2003_11_14_17_21_15425),
inference(superposition,[status(thm)],[c_73,c_1746]) ).
tcf(c_1757,plain,
( cp(sK1(i2003_11_14_17_21_15425))
| ~ cUnsatisfiable(i2003_11_14_17_21_15425) ),
inference(superposition,[status(thm)],[c_1754,c_59]) ).
tcf(c_1758,plain,
cp(sK1(i2003_11_14_17_21_15425)),
inference(forward_subsumption_resolution,[status(thm)],[c_1757,c_73]) ).
tcf(c_1781,plain,
! [X0: $i] :
( ( sK0(X0) = sK1(X0) )
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_1684,c_1705]) ).
tcf(c_1789,plain,
sK0(i2003_11_14_17_21_15425) = sK1(i2003_11_14_17_21_15425),
inference(superposition,[status(thm)],[c_73,c_1781]) ).
tcf(c_1793,plain,
cp(sK0(i2003_11_14_17_21_15425)),
inference(demodulation,[status(thm)],[c_1758,c_1789]) ).
tcf(c_1797,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1793,c_526,c_73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS111+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n007.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
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Wed Sep 23 19:22:38 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 1.81/1.17 % SZS status Started for theBenchmark.p
% 1.81/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.81/1.17
% 1.81/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.81/1.17
% 1.81/1.17 % ------ iProver source info
% 1.81/1.17
% 1.81/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 1.81/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.81/1.17 % git: non_committed_changes: false
% 1.81/1.17
% 1.81/1.17 % ------ Parsing...
% 1.81/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.81/1.17
% 1.81/1.17 % ------ Preprocessing... sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 1.81/1.17
% 1.81/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.81/1.17
% 1.81/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.81/1.17 % ------ Proving...
% 1.81/1.17 % ------ Problem Properties
% 1.81/1.17
% 1.81/1.17 %
% 1.81/1.17 % clauses 14
% 1.81/1.17 % conjectures 0
% 1.81/1.17 % EPR 9
% 1.81/1.17 % Horn 13
% 1.81/1.17 % unary 1
% 1.81/1.17 % binary 9
% 1.81/1.17 % lits 34
% 1.81/1.17 % lits eq 3
% 1.81/1.17 % fd_pure 0
% 1.81/1.17 % fd_pseudo 0
% 1.81/1.17 % fd_cond 0
% 1.81/1.17 % fd_pseudo_cond 3
% 1.81/1.17 % AC symbols 0
% 1.81/1.17
% 1.81/1.17 % ------ Schedule dynamic 5 is on
% 1.81/1.17
% 1.81/1.17 % ------ no conjectures: strip conj schedule
% 1.81/1.17
% 1.81/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.81/1.17
% 1.81/1.17
% 1.81/1.17 % ------
% 1.81/1.17 % Current options:
% 1.81/1.17 % ------
% 1.81/1.17
% 1.81/1.17
% 1.81/1.17 %
% 1.81/1.17
% 1.81/1.17 % ------ Proving...
% 1.81/1.17 %
% 1.81/1.17
% 1.81/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.81/1.17
% 1.81/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.81/1.17
% 1.81/1.17
%------------------------------------------------------------------------------