%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS003-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n019.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 01:53:59 PM UTC 2026
% Result : Unsatisfiable 0.45s 1.29s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 5 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 80 ( 43 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
e(exist),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
f(exist),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,axiom,
! [X0] :
( ~ c(X0)
| s2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f5,axiom,
! [X0] :
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ s2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,axiom,
! [X0] :
( ~ s2least(X0)
| s(X0,u1r1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,axiom,
! [X0] :
( ~ s2least(X0)
| s(X0,u1r2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f9,axiom,
! [X0] :
( ~ d(X0)
| s1most(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ s(X2,X1)
| ~ s(X2,X0)
| ~ s1most(X2)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f15,axiom,
! [X0] :
( ~ e(X0)
| c(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
fof(f16,axiom,
! [X0] :
( ~ f(X0)
| d(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
tcf(c_65,negated_conjecture,
e(exist),
inference(cnf_transformation,[],[f1]) ).
tcf(c_66,negated_conjecture,
f(exist),
inference(cnf_transformation,[],[f2]) ).
tcf(c_67,plain,
! [X0: $i] :
( s2least(X0)
| ~ c(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_69,plain,
! [X0: $i] :
( ~ s2least(X0)
| ~ equalish(u1r2(X0),u1r1(X0)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_70,plain,
! [X0: $i] :
( s(X0,u1r1(X0))
| ~ s2least(X0) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_71,plain,
! [X0: $i] :
( s(X0,u1r2(X0))
| ~ s2least(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_73,plain,
! [X0: $i] :
( s1most(X0)
| ~ d(X0) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalish(X2,X1)
| ~ s1most(X0)
| ~ s(X0,X2)
| ~ s(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_79,plain,
! [X0: $i] :
( c(X0)
| ~ e(X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_80,plain,
! [X0: $i] :
( d(X0)
| ~ f(X0) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_81,plain,
( d(exist)
| ~ f(exist) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_82,plain,
( c(exist)
| ~ e(exist) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_86,plain,
( s2least(exist)
| ~ c(exist) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_89,plain,
( s(exist,u1r2(exist))
| ~ s2least(exist) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_90,plain,
( s(exist,u1r1(exist))
| ~ s2least(exist) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_101,plain,
! [X0: $i] :
( s1most(X0)
| ~ d(X0) ),
inference(prop_impl_just,[status(thm)],[c_73]) ).
tcf(c_103,plain,
! [X0: $i] :
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ c(X0) ),
inference(prop_impl_just,[status(thm)],[c_67,c_69]) ).
tcf(c_104,plain,
! [X0: $i] :
( ~ c(X0)
| ~ equalish(u1r2(X0),u1r1(X0)) ),
inference(renaming,[status(thm)],[c_103]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalish(X2,X1)
| ~ d(X0)
| ~ s(X0,X2)
| ~ s(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_75,c_101]) ).
tcf(c_401,plain,
! [X0: $i,X1: $i] :
( ~ d(X0)
| ~ c(X1)
| ~ s(X0,u1r1(X1))
| ~ s(X0,u1r2(X1)) ),
inference(resolution,[status(thm)],[c_104,c_162]) ).
tcf(c_402,plain,
( ~ d(exist)
| ~ c(exist)
| ~ s(exist,u1r1(exist))
| ~ s(exist,u1r2(exist)) ),
inference(instantiation,[status(thm)],[c_401]) ).
tcf(c_403,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_402,c_90,c_89,c_86,c_82,c_81,c_65,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS003-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 19:14:04 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 0.15/0.42
% 0.15/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.42
% 0.15/0.42 % Detected problem language: tptp
% 0.15/0.44 % Proving...
% 0.45/1.29 % SZS status Started for theBenchmark.p
% 0.45/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.29
% 0.45/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.45/1.29
% 0.45/1.29 % ------ iProver source info
% 0.45/1.29
% 0.45/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.45/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.45/1.29 % git: non_committed_changes: false
% 0.45/1.29
% 0.45/1.29 % ------ Parsing...% successful
% 0.45/1.29
% 0.45/1.29
% 0.45/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.45/1.29
% 0.45/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s%
% 0.45/1.29
% 0.45/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.29
% 0.45/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.29
% 0.45/1.29
%------------------------------------------------------------------------------