%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN713-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 0.08s 0.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 38 ( 21 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 29 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p9_2,axiom,
! [VAR_0] : p9(VAR_0,VAR_0),
file('theBenchmark.p',p9_2) ).
cnf(c_2,plain,
p9(A,A),
inference(clausify,[status(thm)],[p9_2]) ).
fof(p40_14,axiom,
! [VAR_0] : p40(VAR_0,VAR_0),
file('theBenchmark.p',p40_14) ).
cnf(c_14,plain,
p40(A,A),
inference(clausify,[status(thm)],[p40_14]) ).
fof(p12_34,axiom,
! [VAR_0] : p12(VAR_0,VAR_0),
file('theBenchmark.p',p12_34) ).
cnf(c_34,plain,
p12(A,A),
inference(clausify,[status(thm)],[p12_34]) ).
fof(p59_35,axiom,
p59(f38(c72,c77),f35(c73,c68)),
file('theBenchmark.p',p59_35) ).
cnf(c_35,plain,
p59(f38(c72,c77),f35(c73,c68)),
inference(clausify,[status(thm)],[p59_35]) ).
fof(p56_38,axiom,
p56(f11(c65,f14(f17(c66,c67),c68)),c64),
file('theBenchmark.p',p56_38) ).
cnf(c_38,plain,
p56(f11(c65,f14(f17(c66,c67),c68)),c64),
inference(clausify,[status(thm)],[p56_38]) ).
fof(not_p57_39,axiom,
~ p57(f26(f28(c71,f41(c78,c64)),c67),c77),
file('theBenchmark.p',not_p57_39) ).
cnf(c_39,plain,
~ p57(f26(f28(c71,f41(c78,c64)),c67),c77),
inference(clausify,[status(thm)],[not_p57_39]) ).
fof(p57_74,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p57(f26(VAR_0,VAR_1),VAR_2)
| p57(f26(f28(c71,VAR_0),VAR_1),VAR_2) ),
file('theBenchmark.p',p57_74) ).
cnf(c_74,plain,
( ~ p57(f26(A,B),C)
| p57(f26(f28(c71,A),B),C) ),
inference(clausify,[status(thm)],[p57_74]) ).
fof(p56_76,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p4(VAR_3,VAR_0)
| ~ p56(VAR_3,VAR_2)
| ~ p40(VAR_2,VAR_1)
| p56(VAR_0,VAR_1) ),
file('theBenchmark.p',p56_76) ).
cnf(c_76,plain,
( ~ p4(D,A)
| ~ p56(D,C)
| ~ p40(C,B)
| p56(A,B) ),
inference(clausify,[status(thm)],[p56_76]) ).
fof(not_p58_80,axiom,
~ p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)),
file('theBenchmark.p',not_p58_80) ).
cnf(c_80,plain,
~ p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)),
inference(clausify,[status(thm)],[not_p58_80]) ).
fof(p10_81,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p13(VAR_1,VAR_3)
| ~ p12(VAR_0,VAR_2)
| p10(f14(VAR_0,VAR_1),f14(VAR_2,VAR_3)) ),
file('theBenchmark.p',p10_81) ).
cnf(c_81,plain,
( ~ p13(B,D)
| ~ p12(A,C)
| p10(f14(A,B),f14(C,D)) ),
inference(clausify,[status(thm)],[p10_81]) ).
fof(p4_87,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p9(VAR_0,VAR_2)
| ~ p10(VAR_1,VAR_3)
| p4(f11(VAR_0,VAR_1),f11(VAR_2,VAR_3)) ),
file('theBenchmark.p',p4_87) ).
cnf(c_87,plain,
( ~ p9(A,C)
| ~ p10(B,D)
| p4(f11(A,B),f11(C,D)) ),
inference(clausify,[status(thm)],[p4_87]) ).
fof(p57_101,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p56(f11(c65,f14(f17(c66,VAR_1),f23(c74,VAR_2))),VAR_0)
| p57(f26(f41(c78,VAR_0),VAR_1),VAR_2) ),
file('theBenchmark.p',p57_101) ).
cnf(c_101,plain,
( ~ p56(f11(c65,f14(f17(c66,B),f23(c74,C))),A)
| p57(f26(f41(c78,A),B),C) ),
inference(clausify,[status(thm)],[p57_101]) ).
fof(p13_105,axiom,
! [VAR_0,VAR_1] :
( ~ p59(f38(c72,VAR_1),f35(c73,VAR_0))
| p58(f31(f33(c75,c76),f23(c69,VAR_1)),f19(f22(c70,c69),VAR_0))
| p13(VAR_0,f23(c74,VAR_1)) ),
file('theBenchmark.p',p13_105) ).
cnf(c_105,plain,
( ~ p59(f38(c72,B),f35(c73,A))
| p58(f31(f33(c75,c76),f23(c69,B)),f19(f22(c70,c69),A))
| p13(A,f23(c74,B)) ),
inference(clausify,[status(thm)],[p13_105]) ).
cnf(c_142,plain,
( ~ p4(f11(c65,f14(f17(c66,c67),c68)),A)
| ~ p40(c64,B)
| p56(A,B) ),
inference(resolve,[status(thm)],[c_76,c_38]) ).
cnf(c_145,plain,
( ~ p13(B,C)
| p10(f14(A,B),f14(A,C)) ),
inference(resolve,[status(thm)],[c_81,c_34]) ).
cnf(c_151,plain,
( ~ p10(B,C)
| p4(f11(A,B),f11(A,C)) ),
inference(resolve,[status(thm)],[c_87,c_2]) ).
cnf(c_308,plain,
( p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68))
| p13(c68,f23(c74,c77)) ),
inference(resolve,[status(thm)],[c_105,c_35]) ).
cnf(c_165,plain,
p13(c68,f23(c74,c77)),
inference(resolve,[status(thm)],[c_80,c_308]) ).
cnf(c_172,plain,
( ~ p4(f11(c65,f14(f17(c66,c67),c68)),A)
| p56(A,c64) ),
inference(resolve,[status(thm)],[c_142,c_14]) ).
cnf(c_174,plain,
p10(f14(A,c68),f14(A,f23(c74,c77))),
inference(resolve,[status(thm)],[c_145,c_165]) ).
cnf(c_200,plain,
p4(f11(A,f14(B,c68)),f11(A,f14(B,f23(c74,c77)))),
inference(resolve,[status(thm)],[c_174,c_151]) ).
cnf(c_285,plain,
p56(f11(c65,f14(f17(c66,c67),f23(c74,c77))),c64),
inference(resolve,[status(thm)],[c_200,c_172]) ).
cnf(c_304,plain,
p57(f26(f41(c78,c64),c67),c77),
inference(resolve,[status(thm)],[c_285,c_101]) ).
cnf(c_309,plain,
p57(f26(f28(c71,f41(c78,c64)),c67),c77),
inference(resolve,[status(thm)],[c_304,c_74]) ).
cnf(c_307,plain,
$false,
inference(resolve,[status(thm)],[c_39,c_309]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN713-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n008.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 18:22:26 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 78044 was started by sandbox2 on n008,
% 0.08/0.36 % Sat Sep 26 18:22:26 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.37
% 0.08/0.37 % From the command line: assign(max_seconds, 300).
% 0.08/0.39
% 0.08/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.39
% 0.08/0.39 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.08/0.39 % Length of proof is 23.
% 0.08/0.39 % Level of proof is 6.
% 0.08/0.39 % Maximum clause weight is 40.000.
% 0.08/0.39 % Given clauses 236.
% 0.08/0.39
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------