%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN088-1.010 : 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 : n009.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 03:39:09 PM UTC 2026
% Result : Unsatisfiable 0.68s 1.12s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of formulae : 26 ( 23 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 62 ( 32 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 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 : 12 ( 11 usr; 1 prp; 0-10 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,
~ p(a,a,a,a,a,a,a,a,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_goal_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ q_10(X9)
| ~ q_9(X8)
| ~ q_8(X7)
| ~ q_7(X6)
| ~ q_6(X5)
| ~ q_5(X4)
| ~ q_4(X3)
| ~ q_3(X2)
| ~ q_2(X1)
| ~ q_1(X0)
| p(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_1) ).
fof(f3,axiom,
q_1(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_2) ).
fof(f5,axiom,
q_2(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_4) ).
fof(f7,axiom,
q_3(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_6) ).
fof(f9,axiom,
q_4(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_8) ).
fof(f11,axiom,
q_5(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_10) ).
fof(f13,axiom,
q_6(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_12) ).
fof(f15,axiom,
q_7(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_14) ).
fof(f17,axiom,
q_8(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_16) ).
fof(f19,axiom,
q_9(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_18) ).
fof(f21,axiom,
q_10(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_20) ).
tcf(c_71,negated_conjecture,
~ p(a,a,a,a,a,a,a,a,a,a),
inference(cnf_transformation,[],[f1]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( p(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ q_10(X9)
| ~ q_9(X8)
| ~ q_8(X7)
| ~ q_7(X6)
| ~ q_6(X5)
| ~ q_5(X4)
| ~ q_4(X3)
| ~ q_3(X2)
| ~ q_2(X1)
| ~ q_1(X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_74,plain,
q_1(a),
inference(cnf_transformation,[],[f3]) ).
tcf(c_76,plain,
q_2(a),
inference(cnf_transformation,[],[f5]) ).
tcf(c_78,plain,
q_3(a),
inference(cnf_transformation,[],[f7]) ).
tcf(c_80,plain,
q_4(a),
inference(cnf_transformation,[],[f9]) ).
tcf(c_82,plain,
q_5(a),
inference(cnf_transformation,[],[f11]) ).
tcf(c_84,plain,
q_6(a),
inference(cnf_transformation,[],[f13]) ).
tcf(c_86,plain,
q_7(a),
inference(cnf_transformation,[],[f15]) ).
tcf(c_88,plain,
q_8(a),
inference(cnf_transformation,[],[f17]) ).
tcf(c_90,plain,
q_9(a),
inference(cnf_transformation,[],[f19]) ).
tcf(c_92,plain,
q_10(a),
inference(cnf_transformation,[],[f21]) ).
tcf(c_93,plain,
( p(a,a,a,a,a,a,a,a,a,a)
| ~ q_10(a)
| ~ q_9(a)
| ~ q_8(a)
| ~ q_7(a)
| ~ q_6(a)
| ~ q_5(a)
| ~ q_4(a)
| ~ q_3(a)
| ~ q_2(a)
| ~ q_1(a) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_94,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_93,c_71,c_74,c_76,c_78,c_80,c_82,c_84,c_86,c_88,c_90,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN088-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 00:09:14 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running EPR theorem proving
% 0.09/0.41 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 0.68/1.12 % SZS status Started for theBenchmark.p
% 0.68/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.68/1.12
% 0.68/1.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.68/1.12
% 0.68/1.12 % ------ iProver source info
% 0.68/1.12
% 0.68/1.12 % git: date: 2026-07-19 20:42:38 +0200
% 0.68/1.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.68/1.12 % git: non_committed_changes: false
% 0.68/1.12
% 0.68/1.12 % ------ Parsing...% successful
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.68/1.12 %
% 0.68/1.12
% 0.68/1.12 % ------ Preprocessing...%
% 0.68/1.12
% 0.68/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.68/1.12
% 0.68/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.68/1.12
% 0.68/1.12
%------------------------------------------------------------------------------