%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS090+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 : n016.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 1.06s 1.17s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 48 ( 6 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 136 ( 63 ~; 55 |; 11 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 44 ( 0 sgn 42 !; 2 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( cC2(X0)
=> ( ( cA(X0)
| cB(X0) )
& ( cA(X0)
| ~ cB(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] :
( cC3(X0)
=> ( ( ~ cA(X0)
| cB(X0) )
& ( ~ cA(X0)
| ~ cB(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0] :
( cC4(X0)
=> ? [X1] :
( cC2(X1)
& rR(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( cC5(X0)
=> ! [X1] :
( rR(X0,X1)
=> cC3(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( cTEST(X0)
=> ( cC5(X0)
& cC1(X0)
& cC4(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
cTEST(i2003_11_14_17_19_57994),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f42,plain,
! [X0] :
( cTEST(X0)
=> ( cC5(X0)
& cC4(X0) ) ),
inference(pure_predicate_removal,[],[f8]) ).
fof(f45,plain,
! [X0] :
( ~ cC2(X0)
| ( ( cA(X0)
| cB(X0) )
& ( cA(X0)
| ~ cB(X0) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f46,plain,
! [X0] :
( ~ cC3(X0)
| ( ( ~ cA(X0)
| cB(X0) )
& ( ~ cA(X0)
| ~ cB(X0) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f47,plain,
! [X0] :
( ~ cC4(X0)
| ? [X1] :
( cC2(X1)
& rR(X0,X1) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f48,plain,
! [X0] :
( ~ cC5(X0)
| ! [X1] :
( ~ rR(X0,X1)
| cC3(X1) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f49,plain,
! [X0] :
( ~ cTEST(X0)
| ( cC5(X0)
& cC4(X0) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f50,plain,
! [X0] :
( ~ cC4(X0)
| ( cC2(sK0(X0))
& rR(X0,sK0(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f47]) ).
fof(f51,plain,
! [X0] :
( ~ cC2(X0)
| cA(X0)
| cB(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f52,plain,
! [X0] :
( ~ cC2(X0)
| cA(X0)
| ~ cB(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f53,plain,
! [X0] :
( ~ cC3(X0)
| ~ cA(X0)
| cB(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f54,plain,
! [X0] :
( ~ cC3(X0)
| ~ cA(X0)
| ~ cB(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f55,plain,
! [X0] :
( ~ cC4(X0)
| cC2(sK0(X0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f56,plain,
! [X0] :
( ~ cC4(X0)
| rR(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f57,plain,
! [X0,X1] :
( ~ cC5(X0)
| ~ rR(X0,X1)
| cC3(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f58,plain,
! [X0] :
( ~ cTEST(X0)
| cC5(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f59,plain,
! [X0] :
( ~ cTEST(X0)
| cC4(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f60,plain,
cTEST(i2003_11_14_17_19_57994),
inference(cnf_transformation,[],[f9]) ).
tcf(c_49,plain,
! [X0: $i] :
( cA(X0)
| ~ cC2(X0)
| ~ cB(X0) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_50,plain,
! [X0: $i] :
( cA(X0)
| cB(X0)
| ~ cC2(X0) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_51,plain,
! [X0: $i] :
( ~ cC3(X0)
| ~ cA(X0)
| ~ cB(X0) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_52,plain,
! [X0: $i] :
( cB(X0)
| ~ cC3(X0)
| ~ cA(X0) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_53,plain,
! [X0: $i] :
( rR(X0,sK0(X0))
| ~ cC4(X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_54,plain,
! [X0: $i] :
( cC2(sK0(X0))
| ~ cC4(X0) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( cC3(X1)
| ~ cC5(X0)
| ~ rR(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_56,plain,
! [X0: $i] :
( cC4(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_57,plain,
! [X0: $i] :
( cC5(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_58,plain,
cTEST(i2003_11_14_17_19_57994),
inference(cnf_transformation,[],[f60]) ).
tcf(c_59,plain,
( cC5(i2003_11_14_17_19_57994)
| ~ cTEST(i2003_11_14_17_19_57994) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_60,plain,
( cC4(i2003_11_14_17_19_57994)
| ~ cTEST(i2003_11_14_17_19_57994) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_62,plain,
( rR(i2003_11_14_17_19_57994,sK0(i2003_11_14_17_19_57994))
| ~ cC4(i2003_11_14_17_19_57994) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_68,plain,
! [X0: $i] :
( cA(X0)
| ~ cC2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_50,c_50,c_49]) ).
tcf(c_71,plain,
! [X0: $i] :
( ~ cA(X0)
| ~ cC3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_52,c_52,c_51]) ).
tcf(c_72,plain,
! [X0: $i] :
( ~ cC3(X0)
| ~ cA(X0) ),
inference(renaming,[status(thm)],[c_71]) ).
tcf(c_74,plain,
! [X0: $i] :
( cA(X0)
| ~ cC2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_68]) ).
tcf(c_76,plain,
! [X0: $i] :
( ~ cC3(X0)
| ~ cA(X0) ),
inference(global_subsumption_just,[status(thm)],[c_51,c_72]) ).
tcf(c_110,plain,
! [X0: $i] :
( ~ cC3(X0)
| ~ cC2(X0) ),
inference(resolution,[status(thm)],[c_74,c_76]) ).
tcf(c_120,plain,
! [X0: $i] :
( ~ cC4(X0)
| ~ cC3(sK0(X0)) ),
inference(resolution,[status(thm)],[c_110,c_54]) ).
tcf(c_134,plain,
cC4(i2003_11_14_17_19_57994),
inference(resolution,[status(thm)],[c_56,c_58]) ).
tcf(c_140,plain,
~ cC3(sK0(i2003_11_14_17_19_57994)),
inference(resolution,[status(thm)],[c_120,c_134]) ).
tcf(c_150,plain,
! [X0: $i] :
( ~ cC5(X0)
| ~ rR(X0,sK0(i2003_11_14_17_19_57994)) ),
inference(resolution,[status(thm)],[c_55,c_140]) ).
tcf(c_151,plain,
( ~ cC5(i2003_11_14_17_19_57994)
| ~ rR(i2003_11_14_17_19_57994,sK0(i2003_11_14_17_19_57994)) ),
inference(instantiation,[status(thm)],[c_150]) ).
tcf(c_152,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_151,c_62,c_60,c_59,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS090+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n016.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 19:26:42 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 1.06/1.17 % SZS status Started for theBenchmark.p
% 1.06/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.06/1.17
% 1.06/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.06/1.17
% 1.06/1.17 % ------ iProver source info
% 1.06/1.17
% 1.06/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 1.06/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.06/1.17 % git: non_committed_changes: false
% 1.06/1.17
% 1.06/1.17 % ------ Parsing...
% 1.06/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.06/1.17
% 1.06/1.17 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s%
% 1.06/1.17
% 1.06/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.06/1.17
% 1.06/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.06/1.17
% 1.06/1.17
%------------------------------------------------------------------------------