%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN005-1.010 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 03:38:51 PM UTC 2026
% Result : Unsatisfiable 1.54s 1.39s
% Output : CNFRefutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 24 ( 21 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 57 ( 30 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ p_10(X9,X0)
| ~ p_9(X8,X9)
| ~ p_8(X7,X8)
| ~ p_7(X6,X7)
| ~ p_6(X5,X6)
| ~ p_5(X4,X5)
| ~ p_4(X3,X4)
| ~ p_3(X2,X3)
| ~ p_2(X1,X2)
| ~ p_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjunction) ).
fof(f2,negated_conjecture,
p_1(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_1) ).
fof(f3,negated_conjecture,
p_2(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_2) ).
fof(f4,negated_conjecture,
p_3(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_3) ).
fof(f5,negated_conjecture,
p_4(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_4) ).
fof(f6,negated_conjecture,
p_5(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_5) ).
fof(f7,negated_conjecture,
p_6(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_6) ).
fof(f8,negated_conjecture,
p_7(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_7) ).
fof(f9,negated_conjecture,
p_8(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_8) ).
fof(f10,negated_conjecture,
p_9(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_9) ).
fof(f11,negated_conjecture,
p_10(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_10) ).
tcf(c_60,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ p_10(X9,X0)
| ~ p_9(X8,X9)
| ~ p_8(X7,X8)
| ~ p_7(X6,X7)
| ~ p_6(X5,X6)
| ~ p_5(X4,X5)
| ~ p_4(X3,X4)
| ~ p_3(X2,X3)
| ~ p_2(X1,X2)
| ~ p_1(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_61,negated_conjecture,
p_1(a,a),
inference(cnf_transformation,[],[f2]) ).
tcf(c_62,negated_conjecture,
p_2(a,a),
inference(cnf_transformation,[],[f3]) ).
tcf(c_63,negated_conjecture,
p_3(a,a),
inference(cnf_transformation,[],[f4]) ).
tcf(c_64,negated_conjecture,
p_4(a,a),
inference(cnf_transformation,[],[f5]) ).
tcf(c_65,negated_conjecture,
p_5(a,a),
inference(cnf_transformation,[],[f6]) ).
tcf(c_66,negated_conjecture,
p_6(a,a),
inference(cnf_transformation,[],[f7]) ).
tcf(c_67,negated_conjecture,
p_7(a,a),
inference(cnf_transformation,[],[f8]) ).
tcf(c_68,negated_conjecture,
p_8(a,a),
inference(cnf_transformation,[],[f9]) ).
tcf(c_69,negated_conjecture,
p_9(a,a),
inference(cnf_transformation,[],[f10]) ).
tcf(c_70,negated_conjecture,
p_10(a,a),
inference(cnf_transformation,[],[f11]) ).
tcf(c_71,plain,
( ~ p_10(a,a)
| ~ p_9(a,a)
| ~ p_8(a,a)
| ~ p_7(a,a)
| ~ p_6(a,a)
| ~ p_5(a,a)
| ~ p_4(a,a)
| ~ p_3(a,a)
| ~ p_2(a,a)
| ~ p_1(a,a) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_72,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_71,c_61,c_62,c_63,c_64,c_65,c_66,c_67,c_68,c_69,c_70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN005-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.40 % Computer : n008.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Thu Sep 24 23:50:39 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.45 Running EPR theorem proving
% 0.15/0.45 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.47
% 0.15/0.47 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.47
% 0.15/0.47 % Detected problem language: tptp
% 0.15/0.49 % Proving...
% 1.54/1.39 % SZS status Started for theBenchmark.p
% 1.54/1.39 % SZS status Unsatisfiable for theBenchmark.p
% 1.54/1.39
% 1.54/1.39 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.54/1.39
% 1.54/1.39 % ------ iProver source info
% 1.54/1.39
% 1.54/1.39 % git: date: 2026-07-19 20:42:38 +0200
% 1.54/1.39 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.54/1.39 % git: non_committed_changes: false
% 1.54/1.39
% 1.54/1.39 % ------ Parsing...% successful
% 1.54/1.39
% 1.54/1.39
% 1.54/1.39 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.54/1.39 %
% 1.54/1.39
% 1.54/1.39 % ------ Preprocessing...%
% 1.54/1.39
% 1.54/1.39 % SZS status Unsatisfiable for theBenchmark.p
% 1.54/1.39
% 1.54/1.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.54/1.39
% 1.54/1.39
%------------------------------------------------------------------------------