%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN695-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 09:39:08 AM UTC 2026
% Result : Unsatisfiable 0.14s 5.89s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 23 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 29 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p10_7,axiom,
! [VAR_0] : p10(VAR_0,VAR_0),
file('theBenchmark.p',p10_7) ).
cnf(c_7,plain,
p10(A,A),
inference(clausify,[status(thm)],[p10_7]) ).
fof(p3_10,axiom,
! [VAR_0] : p3(VAR_0,VAR_0),
file('theBenchmark.p',p3_10) ).
cnf(c_10,plain,
p3(A,A),
inference(clausify,[status(thm)],[p3_10]) ).
fof(p2_12,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_12) ).
cnf(c_12,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_12]) ).
fof(p10_16,axiom,
p10(c43,c47),
file('theBenchmark.p',p10_16) ).
cnf(c_16,plain,
p10(c43,c47),
inference(clausify,[status(thm)],[p10_16]) ).
fof(p2_18,axiom,
p2(c44,c45),
file('theBenchmark.p',p2_18) ).
cnf(c_18,plain,
p2(c44,c45),
inference(clausify,[status(thm)],[p2_18]) ).
fof(p3_30,axiom,
! [VAR_0,VAR_1] :
( ~ p2(VAR_0,VAR_1)
| p3(f4(VAR_0),f4(VAR_1)) ),
file('theBenchmark.p',p3_30) ).
cnf(c_30,plain,
( ~ p2(A,B)
| p3(f4(A),f4(B)) ),
inference(clausify,[status(thm)],[p3_30]) ).
fof(p10_36,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p10(VAR_2,VAR_1)
| ~ p10(VAR_2,VAR_0)
| p10(VAR_0,VAR_1) ),
file('theBenchmark.p',p10_36) ).
cnf(c_36,plain,
( ~ p10(C,B)
| ~ p10(C,A)
| p10(A,B) ),
inference(clausify,[status(thm)],[p10_36]) ).
fof(p2_41,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p2(VAR_2,VAR_1)
| ~ p2(VAR_2,VAR_0)
| p2(VAR_0,VAR_1) ),
file('theBenchmark.p',p2_41) ).
cnf(c_41,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_41]) ).
fof(p2_54,axiom,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('theBenchmark.p',p2_54) ).
cnf(c_54,plain,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(clausify,[status(thm)],[p2_54]) ).
fof(not_p2_55,axiom,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('theBenchmark.p',not_p2_55) ).
cnf(c_55,plain,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(clausify,[status(thm)],[not_p2_55]) ).
fof(p2_61,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_0,VAR_2)
| ~ p10(VAR_1,VAR_3)
| p2(f11(VAR_0,VAR_1),f11(VAR_2,VAR_3)) ),
file('theBenchmark.p',p2_61) ).
cnf(c_61,plain,
( ~ p3(A,C)
| ~ p10(B,D)
| p2(f11(A,B),f11(C,D)) ),
inference(clausify,[status(thm)],[p2_61]) ).
cnf(c_79,plain,
p3(f4(c44),f4(c45)),
inference(resolve,[status(thm)],[c_30,c_18]) ).
cnf(c_5176,plain,
( ~ p10(c43,A)
| p10(c47,A) ),
inference(resolve,[status(thm)],[c_36,c_16]) ).
cnf(c_87,plain,
p10(c47,c43),
inference(resolve,[status(thm)],[c_5176,c_7]) ).
cnf(c_5177,plain,
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),A)
| p2(f11(f4(c44),c43),A) ),
inference(resolve,[status(thm)],[c_41,c_54]) ).
cnf(c_127,plain,
p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(resolve,[status(thm)],[c_5177,c_12]) ).
cnf(c_5178,plain,
( ~ p2(A,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(A,f11(f4(c45),c43)) ),
inference(resolve,[status(thm)],[c_41,c_55]) ).
cnf(c_128,plain,
~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c45),c43)),
inference(resolve,[status(thm)],[c_5178,c_12]) ).
cnf(c_5179,plain,
( ~ p3(A,B)
| p2(f11(A,c43),f11(B,c47)) ),
inference(resolve,[status(thm)],[c_61,c_16]) ).
cnf(c_234,plain,
p2(f11(f4(c44),c43),f11(f4(c45),c47)),
inference(resolve,[status(thm)],[c_5179,c_79]) ).
cnf(c_5180,plain,
( ~ p3(A,B)
| p2(f11(A,c47),f11(B,c43)) ),
inference(resolve,[status(thm)],[c_61,c_87]) ).
cnf(c_245,plain,
p2(f11(A,c47),f11(A,c43)),
inference(resolve,[status(thm)],[c_5180,c_10]) ).
cnf(c_5181,plain,
( ~ p2(A,f11(f4(c45),c43))
| ~ p2(A,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(resolve,[status(thm)],[c_41,c_128]) ).
cnf(c_1483,plain,
~ p2(f11(f4(c45),c47),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(resolve,[status(thm)],[c_5181,c_245]) ).
cnf(c_5182,plain,
( ~ p2(A,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(A,f11(f4(c45),c47)) ),
inference(resolve,[status(thm)],[c_41,c_1483]) ).
cnf(c_5183,plain,
~ p2(f11(f4(c44),c43),f11(f4(c45),c47)),
inference(resolve,[status(thm)],[c_5182,c_127]) ).
cnf(c_5175,plain,
$false,
inference(resolve,[status(thm)],[c_234,c_5183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN695-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.55 % Computer : n010.cluster.edu
% 0.11/5.55 % Model : x86_64 x86_64
% 0.11/5.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.55 % Memory : 8046.5625MB
% 0.11/5.55 % OS : Linux 6.8.0-71-generic
% 0.11/5.55 % CPULimit : 300
% 0.11/5.55 % WCLimit : 300
% 0.11/5.55 % DateTime : Sat Sep 26 18:21:06 UTC 2026
% 0.11/5.55 % CPUTime :
% 0.11/5.55 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/5.55 % Process 3916910 was started by sandbox on n010,
% 0.11/5.55 % Sat Sep 26 18:21:06 2026
% 0.11/5.55 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/5.55
% 0.11/5.55 % From the command line: assign(max_seconds, 300).
% 0.14/5.89
% 0.14/5.89 % SZS status Unsatisfiable for theBenchmark
% 0.14/5.89
% 0.14/5.89 % Proof 1 at 0.24 (+ 0.08) seconds.
% 0.14/5.89 % Length of proof is 19.
% 0.14/5.89 % Level of proof is 4.
% 0.14/5.89 % Maximum clause weight is 43.000.
% 0.14/5.89 % Given clauses 311.
% 0.14/5.89
% 0.14/5.89 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------