%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN088-1.010 : 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 09:37:01 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 35 ( 24 unt; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 142 ( 77 ~; 65 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% 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 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s4_1,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( ~ q_10(VAR_9)
| ~ q_9(VAR_8)
| ~ q_8(VAR_7)
| ~ q_7(VAR_6)
| ~ q_6(VAR_5)
| ~ q_5(VAR_4)
| ~ q_4(VAR_3)
| ~ q_3(VAR_2)
| ~ q_2(VAR_1)
| ~ q_1(VAR_0)
| p(VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9) ),
file('theBenchmark.p',s4_1) ).
cnf(c_1,plain,
( ~ q_10(V9)
| ~ q_9(V8)
| ~ q_8(V7)
| ~ q_7(V6)
| ~ q_6(F)
| ~ q_5(E)
| ~ q_4(D)
| ~ q_3(C)
| ~ q_2(B)
| ~ q_1(A)
| p(A,B,C,D,E,F,V6,V7,V8,V9) ),
inference(clausify,[status(thm)],[s4_1]) ).
fof(s4_goal_1,axiom,
~ p(a,a,a,a,a,a,a,a,a,a),
file('theBenchmark.p',s4_goal_1) ).
cnf(c_2,plain,
~ p(a,a,a,a,a,a,a,a,a,a),
inference(clausify,[status(thm)],[s4_goal_1]) ).
cnf(c_4,plain,
( ~ 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(resolve,[status(thm)],[c_1,c_2]) ).
fof(s4_2,axiom,
q_1(a),
file('theBenchmark.p',s4_2) ).
cnf(c_5,plain,
q_1(a),
inference(clausify,[status(thm)],[s4_2]) ).
fof(s4_4,axiom,
q_2(a),
file('theBenchmark.p',s4_4) ).
cnf(c_6,plain,
q_2(a),
inference(clausify,[status(thm)],[s4_4]) ).
cnf(c_7,plain,
( ~ 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) ),
inference(resolve,[status(thm)],[c_5,c_4]) ).
cnf(c_10,plain,
( ~ q_10(a)
| ~ q_9(a)
| ~ q_8(a)
| ~ q_7(a)
| ~ q_6(a)
| ~ q_5(a)
| ~ q_4(a)
| ~ q_3(a) ),
inference(resolve,[status(thm)],[c_6,c_7]) ).
fof(s4_6,axiom,
q_3(a),
file('theBenchmark.p',s4_6) ).
cnf(c_11,plain,
q_3(a),
inference(clausify,[status(thm)],[s4_6]) ).
fof(s4_8,axiom,
q_4(a),
file('theBenchmark.p',s4_8) ).
cnf(c_12,plain,
q_4(a),
inference(clausify,[status(thm)],[s4_8]) ).
cnf(c_13,plain,
( ~ q_10(a)
| ~ q_9(a)
| ~ q_8(a)
| ~ q_7(a)
| ~ q_6(a)
| ~ q_5(a)
| ~ q_4(a) ),
inference(resolve,[status(thm)],[c_11,c_10]) ).
cnf(c_16,plain,
( ~ q_10(a)
| ~ q_9(a)
| ~ q_8(a)
| ~ q_7(a)
| ~ q_6(a)
| ~ q_5(a) ),
inference(resolve,[status(thm)],[c_12,c_13]) ).
fof(s4_10,axiom,
q_5(a),
file('theBenchmark.p',s4_10) ).
cnf(c_17,plain,
q_5(a),
inference(clausify,[status(thm)],[s4_10]) ).
fof(s4_12,axiom,
q_6(a),
file('theBenchmark.p',s4_12) ).
cnf(c_18,plain,
q_6(a),
inference(clausify,[status(thm)],[s4_12]) ).
cnf(c_19,plain,
( ~ q_10(a)
| ~ q_9(a)
| ~ q_8(a)
| ~ q_7(a)
| ~ q_6(a) ),
inference(resolve,[status(thm)],[c_17,c_16]) ).
cnf(c_22,plain,
( ~ q_10(a)
| ~ q_9(a)
| ~ q_8(a)
| ~ q_7(a) ),
inference(resolve,[status(thm)],[c_18,c_19]) ).
fof(s4_14,axiom,
q_7(a),
file('theBenchmark.p',s4_14) ).
cnf(c_23,plain,
q_7(a),
inference(clausify,[status(thm)],[s4_14]) ).
fof(s4_16,axiom,
q_8(a),
file('theBenchmark.p',s4_16) ).
cnf(c_24,plain,
q_8(a),
inference(clausify,[status(thm)],[s4_16]) ).
cnf(c_25,plain,
( ~ q_10(a)
| ~ q_9(a)
| ~ q_8(a) ),
inference(resolve,[status(thm)],[c_23,c_22]) ).
cnf(c_28,plain,
( ~ q_10(a)
| ~ q_9(a) ),
inference(resolve,[status(thm)],[c_24,c_25]) ).
fof(s4_18,axiom,
q_9(a),
file('theBenchmark.p',s4_18) ).
cnf(c_29,plain,
q_9(a),
inference(clausify,[status(thm)],[s4_18]) ).
fof(s4_20,axiom,
q_10(a),
file('theBenchmark.p',s4_20) ).
cnf(c_30,plain,
q_10(a),
inference(clausify,[status(thm)],[s4_20]) ).
cnf(c_31,plain,
~ q_10(a),
inference(resolve,[status(thm)],[c_29,c_28]) ).
cnf(c_33,plain,
$false,
inference(resolve,[status(thm)],[c_30,c_31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN088-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n015.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 : Sat Sep 26 17:14:13 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 362323 was started by sandbox on n015,
% 0.08/0.36 % Sat Sep 26 17:14:13 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/0.37
% 0.14/0.37 % From the command line: assign(max_seconds, 300).
% 0.14/0.37
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37
% 0.14/0.37 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.14/0.37 % Length of proof is 23.
% 0.14/0.37 % Level of proof is 11.
% 0.14/0.37 % Maximum clause weight is 0.000.
% 0.14/0.37 % Given clauses 0.
% 0.14/0.37
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------