%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN712-1 : 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 : n018.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 09:39:11 AM UTC 2026
% Result : Unsatisfiable 0.00s 0.49s
% Output : CNFRefutation 0.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 16 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 24 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 12 con; 0-2 aty)
% Number of variables : 80 ( 12 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p32_20,axiom,
! [VAR_0] : p32(VAR_0,VAR_0),
file('theBenchmark.p',p32_20) ).
cnf(c_20,plain,
p32(A,A),
inference(clausify,[status(thm)],[p32_20]) ).
fof(p2_28,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_28) ).
cnf(c_28,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_28]) ).
fof(not_p62_67,axiom,
~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
file('theBenchmark.p',not_p62_67) ).
cnf(c_67,plain,
~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
inference(clausify,[status(thm)],[not_p62_67]) ).
fof(p62_69,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p32(VAR_3,VAR_1)
| ~ p62(VAR_2,VAR_3)
| ~ p4(VAR_2,VAR_0)
| p62(VAR_0,VAR_1) ),
file('theBenchmark.p',p62_69) ).
cnf(c_69,plain,
( ~ p32(D,B)
| ~ p62(C,D)
| ~ p4(C,A)
| p62(A,B) ),
inference(clausify,[status(thm)],[p62_69]) ).
fof(p4_82,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_1,VAR_3)
| ~ p2(VAR_0,VAR_2)
| p4(f5(VAR_0,VAR_1),f5(VAR_2,VAR_3)) ),
file('theBenchmark.p',p4_82) ).
cnf(c_82,plain,
( ~ p3(B,D)
| ~ p2(A,C)
| p4(f5(A,B),f5(C,D)) ),
inference(clausify,[status(thm)],[p4_82]) ).
fof(p62_97,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p62(f5(c64,f8(f11(f13(c65,VAR_0),VAR_2),VAR_3)),VAR_1)
| p62(VAR_0,VAR_1) ),
file('theBenchmark.p',p62_97) ).
cnf(c_97,plain,
( ~ p62(f5(c64,f8(f11(f13(c65,A),C),D)),B)
| p62(A,B) ),
inference(clausify,[status(thm)],[p62_97]) ).
fof(p62_98,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p62(VAR_0,VAR_3)
| p62(f5(c64,f8(f11(f13(c65,VAR_0),VAR_1),VAR_2)),VAR_3) ),
file('theBenchmark.p',p62_98) ).
cnf(c_98,plain,
( ~ p62(A,D)
| p62(f5(c64,f8(f11(f13(c65,A),B),C)),D) ),
inference(clausify,[status(thm)],[p62_98]) ).
fof(p62_99,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( ~ p62(f23(f25(f27(f29(f31(c74,VAR_0),VAR_2),VAR_3),VAR_4),VAR_5),VAR_1)
| p62(VAR_0,VAR_1) ),
file('theBenchmark.p',p62_99) ).
cnf(c_99,plain,
( ~ p62(f23(f25(f27(f29(f31(c74,A),C),D),E),F),B)
| p62(A,B) ),
inference(clausify,[status(thm)],[p62_99]) ).
fof(p62_100,axiom,
p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
file('theBenchmark.p',p62_100) ).
cnf(c_100,plain,
p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
inference(clausify,[status(thm)],[p62_100]) ).
fof(p3_104,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] : p3(f16(f19(f21(c70,f8(f11(f13(c65,VAR_0),VAR_1),VAR_2)),VAR_3),VAR_4),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,VAR_0),VAR_1),VAR_2),VAR_3),VAR_4)),f43(f45(f47(f49(f51(c75,VAR_0),VAR_1),VAR_2),VAR_3),VAR_4)),f53(f55(f57(f59(f61(c76,VAR_0),VAR_1),VAR_2),VAR_3),VAR_4))),
file('theBenchmark.p',p3_104) ).
cnf(c_104,plain,
p3(f16(f19(f21(c70,f8(f11(f13(c65,A),B),C)),D),E),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,A),B),C),D),E)),f43(f45(f47(f49(f51(c75,A),B),C),D),E)),f53(f55(f57(f59(f61(c76,A),B),C),D),E))),
inference(clausify,[status(thm)],[p3_104]) ).
cnf(c_107,plain,
~ p62(c66,c69),
inference(resolve,[status(thm)],[c_98,c_67]) ).
cnf(c_215,plain,
( ~ p3(B,C)
| p4(f5(A,B),f5(A,C)) ),
inference(resolve,[status(thm)],[c_82,c_28]) ).
cnf(c_116,plain,
p4(f5(A,f16(f19(f21(c70,f8(f11(f13(c65,B),C),D)),E),F)),f5(A,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,B),C),D),E),F)),f43(f45(f47(f49(f51(c75,B),C),D),E),F)),f53(f55(f57(f59(f61(c76,B),C),D),E),F)))),
inference(resolve,[status(thm)],[c_215,c_104]) ).
cnf(c_127,plain,
~ p62(f23(f25(f27(f29(f31(c74,c66),A),B),C),D),c69),
inference(resolve,[status(thm)],[c_107,c_99]) ).
cnf(c_216,plain,
( ~ p32(V7,V6)
| ~ p62(f5(A,f16(f19(f21(c70,f8(f11(f13(c65,B),C),D)),E),F)),V7)
| p62(f5(A,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,B),C),D),E),F)),f43(f45(f47(f49(f51(c75,B),C),D),E),F)),f53(f55(f57(f59(f61(c76,B),C),D),E),F))),V6) ),
inference(resolve,[status(thm)],[c_69,c_116]) ).
cnf(c_217,plain,
( ~ p32(c69,A)
| p62(f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),A) ),
inference(resolve,[status(thm)],[c_216,c_100]) ).
cnf(c_208,plain,
p62(f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),c69),
inference(resolve,[status(thm)],[c_217,c_20]) ).
cnf(c_218,plain,
p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),c69),
inference(resolve,[status(thm)],[c_97,c_208]) ).
cnf(c_214,plain,
$false,
inference(resolve,[status(thm)],[c_127,c_218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN712-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.37 % Computer : n018.cluster.edu
% 0.06/0.37 % Model : x86_64 x86_64
% 0.06/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.37 % Memory : 8046.5625MB
% 0.06/0.37 % OS : Linux 6.8.0-71-generic
% 0.06/0.37 % CPULimit : 300
% 0.06/0.37 % WCLimit : 300
% 0.00/0.37 % DateTime : Sat Sep 26 18:23:22 UTC 2026
% 0.00/0.38 % CPUTime :
% 0.00/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.00/0.38 % Process 1102834 was started by sandbox on n018,
% 0.00/0.38 % Sat Sep 26 18:23:22 2026
% 0.00/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.00/0.38
% 0.00/0.38 % From the command line: assign(max_seconds, 300).
% 0.00/0.49
% 0.00/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.00/0.49
% 0.00/0.49 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.00/0.49 % Length of proof is 15.
% 0.00/0.49 % Level of proof is 3.
% 0.00/0.49 % Maximum clause weight is 55.000.
% 0.00/0.49 % Given clauses 122.
% 0.00/0.49
% 0.00/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------