%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN004-1.007 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 : Sun Sep 27 09:36:14 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 56 ( 18 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 127 ( 65 ~; 62 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 15 ( 14 usr; 15 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pqp_1,axiom,
( p_2
| ~ q_1
| ~ p_1 ),
file('theBenchmark.p',pqp_1) ).
cnf(c_1,plain,
( p_2
| ~ q_1
| ~ p_1 ),
inference(clausify,[status(thm)],[pqp_1]) ).
fof(pqp_2,axiom,
( p_3
| ~ q_2
| ~ p_2 ),
file('theBenchmark.p',pqp_2) ).
cnf(c_2,plain,
( p_3
| ~ q_2
| ~ p_2 ),
inference(clausify,[status(thm)],[pqp_2]) ).
fof(pqp_3,axiom,
( p_4
| ~ q_3
| ~ p_3 ),
file('theBenchmark.p',pqp_3) ).
cnf(c_3,plain,
( p_4
| ~ q_3
| ~ p_3 ),
inference(clausify,[status(thm)],[pqp_3]) ).
fof(pqp_4,axiom,
( p_5
| ~ q_4
| ~ p_4 ),
file('theBenchmark.p',pqp_4) ).
cnf(c_4,plain,
( p_5
| ~ q_4
| ~ p_4 ),
inference(clausify,[status(thm)],[pqp_4]) ).
fof(pqp_5,axiom,
( p_6
| ~ q_5
| ~ p_5 ),
file('theBenchmark.p',pqp_5) ).
cnf(c_5,plain,
( p_6
| ~ q_5
| ~ p_5 ),
inference(clausify,[status(thm)],[pqp_5]) ).
fof(pqp_6,axiom,
( p_7
| ~ q_6
| ~ p_6 ),
file('theBenchmark.p',pqp_6) ).
cnf(c_6,plain,
( p_7
| ~ q_6
| ~ p_6 ),
inference(clausify,[status(thm)],[pqp_6]) ).
fof(pqq_1,axiom,
( q_2
| ~ q_1
| ~ p_1 ),
file('theBenchmark.p',pqq_1) ).
cnf(c_7,plain,
( q_2
| ~ q_1
| ~ p_1 ),
inference(clausify,[status(thm)],[pqq_1]) ).
fof(pqq_2,axiom,
( q_3
| ~ q_2
| ~ p_2 ),
file('theBenchmark.p',pqq_2) ).
cnf(c_8,plain,
( q_3
| ~ q_2
| ~ p_2 ),
inference(clausify,[status(thm)],[pqq_2]) ).
fof(pqq_3,axiom,
( q_4
| ~ q_3
| ~ p_3 ),
file('theBenchmark.p',pqq_3) ).
cnf(c_9,plain,
( q_4
| ~ q_3
| ~ p_3 ),
inference(clausify,[status(thm)],[pqq_3]) ).
fof(pqq_4,axiom,
( q_5
| ~ q_4
| ~ p_4 ),
file('theBenchmark.p',pqq_4) ).
cnf(c_10,plain,
( q_5
| ~ q_4
| ~ p_4 ),
inference(clausify,[status(thm)],[pqq_4]) ).
fof(pqq_5,axiom,
( q_6
| ~ q_5
| ~ p_5 ),
file('theBenchmark.p',pqq_5) ).
cnf(c_11,plain,
( q_6
| ~ q_5
| ~ p_5 ),
inference(clausify,[status(thm)],[pqq_5]) ).
fof(pqq_6,axiom,
( q_7
| ~ q_6
| ~ p_6 ),
file('theBenchmark.p',pqq_6) ).
cnf(c_12,plain,
( q_7
| ~ q_6
| ~ p_6 ),
inference(clausify,[status(thm)],[pqq_6]) ).
fof(base_1,axiom,
p_1,
file('theBenchmark.p',base_1) ).
cnf(c_13,plain,
p_1,
inference(clausify,[status(thm)],[base_1]) ).
fof(base_2,axiom,
q_1,
file('theBenchmark.p',base_2) ).
cnf(c_14,plain,
q_1,
inference(clausify,[status(thm)],[base_2]) ).
fof(base_3,axiom,
( ~ q_7
| ~ p_7 ),
file('theBenchmark.p',base_3) ).
cnf(c_15,plain,
( ~ q_7
| ~ p_7 ),
inference(clausify,[status(thm)],[base_3]) ).
cnf(c_29,plain,
( q_2
| ~ q_1 ),
inference(resolve,[status(thm)],[c_13,c_7]) ).
cnf(c_16,plain,
q_2,
inference(resolve,[status(thm)],[c_14,c_29]) ).
cnf(c_30,plain,
( p_2
| ~ q_1 ),
inference(resolve,[status(thm)],[c_13,c_1]) ).
cnf(c_17,plain,
p_2,
inference(resolve,[status(thm)],[c_14,c_30]) ).
cnf(c_31,plain,
( q_3
| ~ q_2 ),
inference(resolve,[status(thm)],[c_17,c_8]) ).
cnf(c_18,plain,
q_3,
inference(resolve,[status(thm)],[c_16,c_31]) ).
cnf(c_32,plain,
( p_3
| ~ q_2 ),
inference(resolve,[status(thm)],[c_17,c_2]) ).
cnf(c_19,plain,
p_3,
inference(resolve,[status(thm)],[c_16,c_32]) ).
cnf(c_33,plain,
( q_4
| ~ q_3 ),
inference(resolve,[status(thm)],[c_19,c_9]) ).
cnf(c_20,plain,
q_4,
inference(resolve,[status(thm)],[c_18,c_33]) ).
cnf(c_34,plain,
( p_4
| ~ q_3 ),
inference(resolve,[status(thm)],[c_19,c_3]) ).
cnf(c_21,plain,
p_4,
inference(resolve,[status(thm)],[c_18,c_34]) ).
cnf(c_35,plain,
( q_5
| ~ q_4 ),
inference(resolve,[status(thm)],[c_21,c_10]) ).
cnf(c_22,plain,
q_5,
inference(resolve,[status(thm)],[c_20,c_35]) ).
cnf(c_36,plain,
( p_5
| ~ q_4 ),
inference(resolve,[status(thm)],[c_21,c_4]) ).
cnf(c_23,plain,
p_5,
inference(resolve,[status(thm)],[c_20,c_36]) ).
cnf(c_37,plain,
( q_6
| ~ q_5 ),
inference(resolve,[status(thm)],[c_23,c_11]) ).
cnf(c_24,plain,
q_6,
inference(resolve,[status(thm)],[c_22,c_37]) ).
cnf(c_38,plain,
( p_6
| ~ q_5 ),
inference(resolve,[status(thm)],[c_23,c_5]) ).
cnf(c_25,plain,
p_6,
inference(resolve,[status(thm)],[c_22,c_38]) ).
cnf(c_39,plain,
( q_7
| ~ q_6 ),
inference(resolve,[status(thm)],[c_25,c_12]) ).
cnf(c_26,plain,
q_7,
inference(resolve,[status(thm)],[c_24,c_39]) ).
cnf(c_40,plain,
( p_7
| ~ q_6 ),
inference(resolve,[status(thm)],[c_25,c_6]) ).
cnf(c_27,plain,
p_7,
inference(resolve,[status(thm)],[c_24,c_40]) ).
cnf(c_41,plain,
~ q_7,
inference(resolve,[status(thm)],[c_27,c_15]) ).
cnf(c_28,plain,
$false,
inference(resolve,[status(thm)],[c_26,c_41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN004-1.007 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 17:06:44 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 347534 was started by sandbox on n015,
% 0.09/0.36 % Sat Sep 26 17:06:44 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.37
% 0.09/0.37 % From the command line: assign(max_seconds, 300).
% 0.09/0.38
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.38
% 0.09/0.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/0.38 % Length of proof is 28.
% 0.09/0.38 % Level of proof is 7.
% 0.09/0.38 % Maximum clause weight is 3.000.
% 0.09/0.38 % Given clauses 0.
% 0.09/0.38
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------