%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS089+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 : n018.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 01:54:08 PM UTC 2026
% Result : Unsatisfiable 0.43s 1.29s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 65 ( 13 unt; 0 def)
% Number of atoms : 174 ( 95 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 194 ( 85 ~; 83 |; 22 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 98 ( 0 sgn 90 !; 8 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f14,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rr(X0,X3)
& rr(X0,X2)
& rr(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f15,axiom,
! [X0] :
( cowlThing(X0)
=> ? [X1] :
( X1 = ispy
& rp(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f16,axiom,
! [X0,X1] :
( rp(X0,X1)
<=> rinvP(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f17,axiom,
! [X0,X1,X2] :
( ( rinvP(ispy,X2)
& rinvP(ispy,X1)
& rinvP(ispy,X0) )
=> ( X1 = X2
| X0 = X2
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f19,axiom,
cUnsatisfiable(i2003_11_14_17_19_53168),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f42,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rr(X0,X3)
& rr(X0,X2)
& rr(X0,X1) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f43,plain,
! [X0] :
( ~ cowlThing(X0)
| ? [X1] :
( X1 = ispy
& rp(X0,X1) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ rinvP(ispy,X2)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X0)
| X1 = X2
| X0 = X2
| X0 = X1 ),
inference(ennf_transformation,[],[f17]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ rinvP(ispy,X2)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X0)
| X1 = X2
| X0 = X2
| X0 = X1 ),
inference(flattening,[],[f44]) ).
fof(f47,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ( sK1(X0) != sK2(X0)
& sK0(X0) != sK2(X0)
& sK0(X0) != sK1(X0)
& rr(X0,sK2(X0))
& rr(X0,sK1(X0))
& rr(X0,sK0(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0)),skolemize(X3,sK2(X0))],[f42]) ).
fof(f48,plain,
! [X0] :
( ~ cowlThing(X0)
| ( ispy = sK3(X0)
& rp(X0,sK3(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f43]) ).
fof(f49,plain,
! [X0,X1] :
( ( ~ rp(X0,X1)
| rinvP(X1,X0) )
& ( ~ rinvP(X1,X0)
| rp(X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f62,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f12]) ).
fof(f65,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK1(X0) != sK2(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f66,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK0(X0) != sK2(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f67,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK0(X0) != sK1(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f71,plain,
! [X0] :
( ~ cowlThing(X0)
| ispy = sK3(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f72,plain,
! [X0] :
( ~ cowlThing(X0)
| rp(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f73,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| rinvP(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ rinvP(ispy,X2)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X0)
| X1 = X2
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f45]) ).
fof(f77,plain,
cUnsatisfiable(i2003_11_14_17_19_53168),
inference(cnf_transformation,[],[f19]) ).
tcf(c_49,plain,
! [X0: $i] : cowlThing(X0),
inference(cnf_transformation,[],[f62]) ).
tcf(c_56,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ( sK0(X0) != sK1(X0) ) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_57,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ( sK0(X0) != sK2(X0) ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_58,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ( sK1(X0) != sK2(X0) ) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_59,plain,
! [X0: $i] :
( rp(X0,sK3(X0))
| ~ cowlThing(X0) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_60,plain,
! [X0: $i] :
( ( sK3(X0) = ispy )
| ~ cowlThing(X0) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( rinvP(X1,X0)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X2 )
| ( X0 = X1 )
| ~ rinvP(ispy,X2)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X0) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_65,plain,
cUnsatisfiable(i2003_11_14_17_19_53168),
inference(cnf_transformation,[],[f77]) ).
tcf(c_80,plain,
! [X0: $i] : rp(X0,sK3(X0)),
inference(global_subsumption_just,[status(thm)],[c_59,c_49,c_59]) ).
tcf(c_83,plain,
! [X0: $i] : sK3(X0) = ispy,
inference(global_subsumption_just,[status(thm)],[c_60,c_49,c_60]) ).
tcf(c_96,plain,
! [X0: $i] :
( ( sK0(X0) != sK1(X0) )
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_56]) ).
tcf(c_97,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ( sK0(X0) != sK1(X0) ) ),
inference(renaming,[status(thm)],[c_96]) ).
tcf(c_98,plain,
! [X0: $i] :
( ( sK0(X0) != sK2(X0) )
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_57]) ).
tcf(c_99,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ( sK0(X0) != sK2(X0) ) ),
inference(renaming,[status(thm)],[c_98]) ).
tcf(c_100,plain,
! [X0: $i] :
( ( sK1(X0) != sK2(X0) )
| ~ cUnsatisfiable(X0) ),
inference(prop_impl_just,[status(thm)],[c_58]) ).
tcf(c_101,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ( sK1(X0) != sK2(X0) ) ),
inference(renaming,[status(thm)],[c_100]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( rinvP(X1,X0)
| ~ rp(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_62]) ).
tcf(c_215,plain,
! [X0: $i] : rp(X0,ispy),
inference(demodulation,[status(thm)],[c_80,c_83]) ).
tcf(c_272,plain,
! [X0: $i] :
( ( X0 != i2003_11_14_17_19_53168 )
| ( sK1(X0) != sK2(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_101,c_65]) ).
tcf(c_273,plain,
sK1(i2003_11_14_17_19_53168) != sK2(i2003_11_14_17_19_53168),
inference(unflattening,[status(thm)],[c_272]) ).
tcf(c_277,plain,
! [X0: $i] :
( ( X0 != i2003_11_14_17_19_53168 )
| ( sK0(X0) != sK2(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_99,c_65]) ).
tcf(c_278,plain,
sK0(i2003_11_14_17_19_53168) != sK2(i2003_11_14_17_19_53168),
inference(unflattening,[status(thm)],[c_277]) ).
tcf(c_282,plain,
! [X0: $i] :
( ( X0 != i2003_11_14_17_19_53168 )
| ( sK0(X0) != sK1(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_97,c_65]) ).
tcf(c_283,plain,
sK0(i2003_11_14_17_19_53168) != sK1(i2003_11_14_17_19_53168),
inference(unflattening,[status(thm)],[c_282]) ).
tcf(c_292,plain,
! [X0: $i,X1: $i,X2: $i] :
( rinvP(X2,X0)
| ( X2 != ispy )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_108,c_215]) ).
tcf(c_293,plain,
! [X0: $i] : rinvP(ispy,X0),
inference(unflattening,[status(thm)],[c_292]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X1 )
| ( X2 = X0 )
| ( X0 = X1 )
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_63,c_293]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X1 )
| ( X2 = X0 )
| ( X0 = X1 )
| ~ rinvP(ispy,X1) ),
inference(global_subsumption_just,[status(thm)],[c_299,c_293,c_299]) ).
tcf(c_301,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X1 )
| ( X2 = X0 )
| ( X1 = X0 )
| ~ rinvP(ispy,X0) ),
inference(renaming,[status(thm)],[c_300]) ).
tcf(c_302,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X1 )
| ( X2 = X0 )
| ( X1 = X0 ) ),
inference(global_subsumption_just,[status(thm)],[c_301,c_293,c_301]) ).
tcf(c_303,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X1 )
| ( X2 = X0 )
| ( X0 = X1 ) ),
inference(renaming,[status(thm)],[c_302]) ).
tcf(c_354,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_433,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK2(i2003_11_14_17_19_53168) = X1 )
| ( sK0(i2003_11_14_17_19_53168) != X0 ) ),
inference(superposition,[status(thm)],[c_303,c_278]) ).
tcf(c_434,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK2(i2003_11_14_17_19_53168) = X1 )
| ( sK1(i2003_11_14_17_19_53168) != X0 ) ),
inference(superposition,[status(thm)],[c_303,c_273]) ).
tcf(c_435,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(i2003_11_14_17_19_53168) = X1 )
| ( sK0(i2003_11_14_17_19_53168) != X0 ) ),
inference(superposition,[status(thm)],[c_303,c_283]) ).
tcf(c_488,plain,
! [X0: $i] :
( ( sK2(i2003_11_14_17_19_53168) = X0 )
| ( sK0(i2003_11_14_17_19_53168) = X0 ) ),
inference(equality_resolution,[status(thm)],[c_433]) ).
tcf(c_525,plain,
! [X0: $i] :
( ( sK2(i2003_11_14_17_19_53168) = X0 )
| ( sK1(i2003_11_14_17_19_53168) = X0 ) ),
inference(equality_resolution,[status(thm)],[c_434]) ).
tcf(c_568,plain,
! [X0: $i] :
( ( sK1(i2003_11_14_17_19_53168) = X0 )
| ( sK0(i2003_11_14_17_19_53168) = X0 ) ),
inference(equality_resolution,[status(thm)],[c_435]) ).
tcf(c_587,plain,
! [X0: $i] :
( ( sK1(i2003_11_14_17_19_53168) = sK2(i2003_11_14_17_19_53168) )
| ( sK2(i2003_11_14_17_19_53168) != X0 )
| ( sK1(i2003_11_14_17_19_53168) != X0 ) ),
inference(instantiation,[status(thm)],[c_354]) ).
tcf(c_589,plain,
! [X0: $i] :
( ( sK0(i2003_11_14_17_19_53168) = sK2(i2003_11_14_17_19_53168) )
| ( sK2(i2003_11_14_17_19_53168) != X0 )
| ( sK0(i2003_11_14_17_19_53168) != X0 ) ),
inference(instantiation,[status(thm)],[c_354]) ).
tcf(c_591,plain,
! [X0: $i] :
( ( sK0(i2003_11_14_17_19_53168) = sK1(i2003_11_14_17_19_53168) )
| ( sK1(i2003_11_14_17_19_53168) != X0 )
| ( sK0(i2003_11_14_17_19_53168) != X0 ) ),
inference(instantiation,[status(thm)],[c_354]) ).
tcf(c_712,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_591,c_589,c_587,c_568,c_525,c_488,c_283,c_278,c_273]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS089+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 19:23:18 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 0.13/0.43
% 0.13/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.43
% 0.13/0.44 % Detected problem language: tptp
% 0.13/0.45 % Proving...
% 0.43/1.29 % SZS status Started for theBenchmark.p
% 0.43/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.29
% 0.43/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.43/1.29
% 0.43/1.29 % ------ iProver source info
% 0.43/1.29
% 0.43/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.43/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.43/1.29 % git: non_committed_changes: false
% 0.43/1.29
% 0.43/1.29 % ------ Parsing...
% 0.43/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.43/1.29
% 0.43/1.29 % ------ Preprocessing... sup_sim: 1 sf_s rm: 9 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 0.43/1.29
% 0.43/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.43/1.29
% 0.43/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.43/1.29 % ------ Proving...
% 0.43/1.29 % ------ Problem Properties
% 0.43/1.29
% 0.43/1.29 %
% 0.43/1.29 % clauses 5
% 0.43/1.29 % conjectures 0
% 0.43/1.29 % EPR 1
% 0.43/1.29 % Horn 4
% 0.43/1.29 % unary 4
% 0.43/1.29 % binary 0
% 0.43/1.29 % lits 7
% 0.43/1.29 % lits eq 7
% 0.43/1.29 % fd_pure 0
% 0.43/1.29 % fd_pseudo 1
% 0.43/1.29 % fd_cond 0
% 0.43/1.29 % fd_pseudo_cond 0
% 0.43/1.29 % AC symbols 0
% 0.43/1.29
% 0.43/1.29 % ------ Schedule dynamic 5 is on
% 0.43/1.29
% 0.43/1.29 % ------ no conjectures: strip conj schedule
% 0.43/1.29
% 0.43/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.43/1.29
% 0.43/1.29
% 0.43/1.29 % ------
% 0.43/1.29 % Current options:
% 0.43/1.29 % ------
% 0.43/1.29
% 0.43/1.29
% 0.43/1.29 %
% 0.43/1.29
% 0.43/1.29 % ------ Proving...
% 0.43/1.29 %
% 0.43/1.29
% 0.43/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.29
% 0.43/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/1.29
% 0.43/1.29
%------------------------------------------------------------------------------