%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN100-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.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 03:39:11 PM UTC 2026
% Result : Unsatisfiable 1.55s 1.21s
% Output : CNFRefutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 20
% Syntax : Number of formulae : 57 ( 9 unt; 0 def)
% Number of atoms : 150 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 146 ( 53 ~; 93 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 20 ( 19 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X0] :
( sym_q_0(X0)
| sym_p_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s3_goal_1) ).
fof(f44,axiom,
! [X0] :
( sym_q_2(X0)
| sym_q_1(X0)
| ~ sym_p_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s3_type11_2) ).
fof(f48,axiom,
! [X0] :
( sym_q_4(X0)
| sym_q_3(X0)
| ~ sym_p_2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s3_type11_6) ).
fof(f50,axiom,
! [X0] :
( sym_q_5(X0)
| sym_q_4(X0)
| ~ sym_p_3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s3_type11_8) ).
fof(f52,axiom,
! [X0] :
( sym_q_6(X0)
| sym_q_5(X0)
| ~ sym_p_4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s3_type11_10) ).
fof(f54,axiom,
! [X0] :
( sym_q_7(X0)
| sym_q_6(X0)
| ~ sym_p_5(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s3_type11_12) ).
fof(f56,axiom,
! [X0] :
( sym_q_8(X0)
| sym_q_7(X0)
| ~ sym_p_6(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s3_type11_14) ).
fof(f58,axiom,
! [X0] :
( sym_q_9(X0)
| sym_q_8(X0)
| ~ sym_p_7(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s3_type11_16) ).
fof(f60,axiom,
! [X0] :
( sym_p_2(X0)
| sym_q_1(X0)
| ~ sym_q_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s3_type12_2) ).
fof(f62,axiom,
! [X0] :
( sym_p_3(X0)
| sym_q_2(X0)
| ~ sym_q_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s3_type12_4) ).
fof(f64,axiom,
! [X0] :
( sym_p_4(X0)
| sym_q_3(X0)
| ~ sym_q_2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s3_type12_6) ).
fof(f66,axiom,
! [X0] :
( sym_p_5(X0)
| sym_q_4(X0)
| ~ sym_q_3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s3_type12_8) ).
fof(f68,axiom,
! [X0] :
( sym_p_6(X0)
| sym_q_5(X0)
| ~ sym_q_4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s3_type12_10) ).
fof(f70,axiom,
! [X0] :
( sym_p_7(X0)
| sym_q_6(X0)
| ~ sym_q_5(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s3_type12_12) ).
fof(f72,axiom,
! [X0] :
( sym_p_8(X0)
| sym_q_7(X0)
| ~ sym_q_6(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s3_type12_14) ).
fof(f74,axiom,
! [X0] :
( sym_p_9(X0)
| sym_q_8(X0)
| ~ sym_q_7(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s3_type12_16) ).
fof(f79,axiom,
~ sym_p_8(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_t3_1) ).
fof(f80,axiom,
~ sym_p_9(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_t3_2) ).
fof(f81,axiom,
~ sym_q_8(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_t3_3) ).
fof(f82,axiom,
~ sym_q_9(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_t3_4) ).
tcf(c_170,plain,
! [X0: $i] :
( sym_q_0(X0)
| sym_p_0(X0) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_172,plain,
! [X0: $i] :
( sym_q_2(X0)
| sym_q_1(X0)
| ~ sym_p_0(X0) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_176,plain,
! [X0: $i] :
( sym_q_4(X0)
| sym_q_3(X0)
| ~ sym_p_2(X0) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_178,plain,
! [X0: $i] :
( sym_q_5(X0)
| sym_q_4(X0)
| ~ sym_p_3(X0) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_180,plain,
! [X0: $i] :
( sym_q_6(X0)
| sym_q_5(X0)
| ~ sym_p_4(X0) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_182,plain,
! [X0: $i] :
( sym_q_7(X0)
| sym_q_6(X0)
| ~ sym_p_5(X0) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_184,plain,
! [X0: $i] :
( sym_q_8(X0)
| sym_q_7(X0)
| ~ sym_p_6(X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_186,plain,
! [X0: $i] :
( sym_q_9(X0)
| sym_q_8(X0)
| ~ sym_p_7(X0) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_188,plain,
! [X0: $i] :
( sym_q_1(X0)
| sym_p_2(X0)
| ~ sym_q_0(X0) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_190,plain,
! [X0: $i] :
( sym_p_3(X0)
| sym_q_2(X0)
| ~ sym_q_1(X0) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_192,plain,
! [X0: $i] :
( sym_p_4(X0)
| sym_q_3(X0)
| ~ sym_q_2(X0) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_194,plain,
! [X0: $i] :
( sym_p_5(X0)
| sym_q_4(X0)
| ~ sym_q_3(X0) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_196,plain,
! [X0: $i] :
( sym_p_6(X0)
| sym_q_5(X0)
| ~ sym_q_4(X0) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_198,plain,
! [X0: $i] :
( sym_p_7(X0)
| sym_q_6(X0)
| ~ sym_q_5(X0) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_200,plain,
! [X0: $i] :
( sym_p_8(X0)
| sym_q_7(X0)
| ~ sym_q_6(X0) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_202,plain,
! [X0: $i] :
( sym_p_9(X0)
| sym_q_8(X0)
| ~ sym_q_7(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_205,plain,
~ sym_p_8(a),
inference(cnf_transformation,[],[f79]) ).
tcf(c_206,plain,
~ sym_p_9(a),
inference(cnf_transformation,[],[f80]) ).
tcf(c_207,plain,
~ sym_q_8(a),
inference(cnf_transformation,[],[f81]) ).
tcf(c_208,plain,
~ sym_q_9(a),
inference(cnf_transformation,[],[f82]) ).
tcf(c_209,plain,
( sym_q_0(a)
| sym_p_0(a) ),
inference(instantiation,[status(thm)],[c_170]) ).
tcf(c_211,plain,
( sym_p_9(a)
| sym_q_8(a)
| ~ sym_q_7(a) ),
inference(instantiation,[status(thm)],[c_202]) ).
tcf(c_213,plain,
( sym_p_8(a)
| sym_q_7(a)
| ~ sym_q_6(a) ),
inference(instantiation,[status(thm)],[c_200]) ).
tcf(c_215,plain,
( sym_p_7(a)
| sym_q_6(a)
| ~ sym_q_5(a) ),
inference(instantiation,[status(thm)],[c_198]) ).
tcf(c_217,plain,
( sym_p_6(a)
| sym_q_5(a)
| ~ sym_q_4(a) ),
inference(instantiation,[status(thm)],[c_196]) ).
tcf(c_219,plain,
( sym_p_5(a)
| sym_q_4(a)
| ~ sym_q_3(a) ),
inference(instantiation,[status(thm)],[c_194]) ).
tcf(c_221,plain,
( sym_p_4(a)
| sym_q_3(a)
| ~ sym_q_2(a) ),
inference(instantiation,[status(thm)],[c_192]) ).
tcf(c_223,plain,
( sym_p_3(a)
| sym_q_2(a)
| ~ sym_q_1(a) ),
inference(instantiation,[status(thm)],[c_190]) ).
tcf(c_225,plain,
( sym_q_1(a)
| sym_p_2(a)
| ~ sym_q_0(a) ),
inference(instantiation,[status(thm)],[c_188]) ).
tcf(c_227,plain,
( sym_q_9(a)
| sym_q_8(a)
| ~ sym_p_7(a) ),
inference(instantiation,[status(thm)],[c_186]) ).
tcf(c_229,plain,
( sym_q_8(a)
| sym_q_7(a)
| ~ sym_p_6(a) ),
inference(instantiation,[status(thm)],[c_184]) ).
tcf(c_231,plain,
( sym_q_7(a)
| sym_q_6(a)
| ~ sym_p_5(a) ),
inference(instantiation,[status(thm)],[c_182]) ).
tcf(c_233,plain,
( sym_q_6(a)
| sym_q_5(a)
| ~ sym_p_4(a) ),
inference(instantiation,[status(thm)],[c_180]) ).
tcf(c_235,plain,
( sym_q_5(a)
| sym_q_4(a)
| ~ sym_p_3(a) ),
inference(instantiation,[status(thm)],[c_178]) ).
tcf(c_237,plain,
( sym_q_4(a)
| sym_q_3(a)
| ~ sym_p_2(a) ),
inference(instantiation,[status(thm)],[c_176]) ).
tcf(c_241,plain,
( sym_q_2(a)
| sym_q_1(a)
| ~ sym_p_0(a) ),
inference(instantiation,[status(thm)],[c_172]) ).
tcf(c_242,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_241,c_237,c_235,c_233,c_231,c_229,c_227,c_225,c_223,c_221,c_219,c_217,c_215,c_213,c_211,c_209,c_205,c_206,c_207,c_208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN100-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 00:10:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running EPR theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.55/1.21 % SZS status Started for theBenchmark.p
% 1.55/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 1.55/1.21
% 1.55/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.55/1.21
% 1.55/1.21 % ------ iProver source info
% 1.55/1.21
% 1.55/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 1.55/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.55/1.21 % git: non_committed_changes: false
% 1.55/1.21
% 1.55/1.21 % ------ Parsing...% successful
% 1.55/1.21
% 1.55/1.21
% 1.55/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.55/1.21 % ------ Proving...
% 1.55/1.21 % ------ Problem Properties
% 1.55/1.21
% 1.55/1.21 %
% 1.55/1.21 % clauses 78
% 1.55/1.21 % conjectures 1
% 1.55/1.21 % EPR 78
% 1.55/1.21 % Horn 45
% 1.55/1.21 % unary 8
% 1.55/1.21 % binary 6
% 1.55/1.21 % lits 212
% 1.55/1.21 % lits eq 0
% 1.55/1.21 % fd_pure 0
% 1.55/1.21 % fd_pseudo 0
% 1.55/1.21 % fd_cond 0
% 1.55/1.21 % fd_pseudo_cond 0
% 1.55/1.21 % AC symbols 0
% 1.55/1.21
% 1.55/1.21 % ------ Input Options Time Limit: Unbounded
% 1.55/1.21
% 1.55/1.21
% 1.55/1.21 % ------
% 1.55/1.21 % Current options:
% 1.55/1.21 % ------
% 1.55/1.21
% 1.55/1.21
% 1.55/1.21 %
% 1.55/1.21
% 1.55/1.21 % ------ Proving...
% 1.55/1.21 %
% 1.55/1.21
% 1.55/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 1.55/1.21
% 1.55/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.55/1.21
% 1.55/1.21
%------------------------------------------------------------------------------