%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN142-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 09:37:08 AM UTC 2026
% Result : Unsatisfiable 0.88s 0.50s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 33
% Syntax : Number of formulae : 108 ( 43 unt; 0 def)
% Number of atoms : 244 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 288 ( 152 ~; 136 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 181 ( 61 sgn 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_37,axiom,
n0(b,a),
file('theBenchmark.p',axiom_37) ).
cnf(c_2,plain,
n0(b,a),
inference(clausify,[status(thm)],[axiom_37]) ).
fof(axiom_34,axiom,
n0(c,d),
file('theBenchmark.p',axiom_34) ).
cnf(c_3,plain,
n0(c,d),
inference(clausify,[status(thm)],[axiom_34]) ).
fof(axiom_30,axiom,
n0(e,e),
file('theBenchmark.p',axiom_30) ).
cnf(c_4,plain,
n0(e,e),
inference(clausify,[status(thm)],[axiom_30]) ).
fof(rule_002,axiom,
! [VAR_0,VAR_1] :
( ~ n0(VAR_1,VAR_0)
| l1(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_002) ).
cnf(c_10,plain,
( ~ n0(B,A)
| l1(A,A) ),
inference(clausify,[status(thm)],[rule_002]) ).
fof(rule_066,axiom,
! [VAR_0,VAR_1] :
( ~ n0(VAR_1,VAR_0)
| p1(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_066) ).
cnf(c_17,plain,
( ~ n0(B,A)
| p1(A,A,A) ),
inference(clausify,[status(thm)],[rule_066]) ).
fof(rule_131,axiom,
! [VAR_0,VAR_1] :
( ~ l2(VAR_1,VAR_1)
| ~ n0(e,VAR_1)
| ~ s1(VAR_0)
| l2(VAR_0,VAR_1) ),
file('theBenchmark.p',rule_131) ).
cnf(c_23,plain,
( ~ l2(B,B)
| ~ n0(e,B)
| ~ s1(A)
| l2(A,B) ),
inference(clausify,[status(thm)],[rule_131]) ).
fof(rule_137,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p1(VAR_1,VAR_2,VAR_0)
| n2(VAR_0) ),
file('theBenchmark.p',rule_137) ).
cnf(c_46,plain,
( ~ p1(B,C,A)
| n2(A) ),
inference(clausify,[status(thm)],[rule_137]) ).
fof(rule_244,axiom,
! [VAR_0] :
( ~ n2(VAR_0)
| p3(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_244) ).
cnf(c_56,plain,
( ~ n2(A)
| p3(A,A,A) ),
inference(clausify,[status(thm)],[rule_244]) ).
fof(rule_189,axiom,
! [VAR_0] :
( ~ s1(b)
| ~ q2(b,VAR_0,b)
| s2(VAR_0) ),
file('theBenchmark.p',rule_189) ).
cnf(c_78,plain,
( ~ s1(b)
| ~ q2(b,A,b)
| s2(A) ),
inference(clausify,[status(thm)],[rule_189]) ).
fof(rule_273,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ m0(VAR_2,VAR_3,VAR_1)
| ~ s2(VAR_0)
| ~ q2(VAR_2,VAR_0,VAR_2)
| s3(VAR_0,VAR_1) ),
file('theBenchmark.p',rule_273) ).
cnf(c_90,plain,
( ~ m0(C,D,B)
| ~ s2(A)
| ~ q2(C,A,C)
| s3(A,B) ),
inference(clausify,[status(thm)],[rule_273]) ).
fof(rule_279,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ s3(a,VAR_0)
| ~ l2(VAR_2,VAR_1)
| m4(VAR_0,VAR_1) ),
file('theBenchmark.p',rule_279) ).
cnf(c_101,plain,
( ~ s3(a,A)
| ~ l2(C,B)
| m4(A,B) ),
inference(clausify,[status(thm)],[rule_279]) ).
cnf(c_102,plain,
( ~ s1(b)
| ~ q2(b,A,b)
| ~ m0(C,D,B)
| ~ q2(C,A,C)
| s3(A,B) ),
inference(resolve,[status(thm)],[c_90,c_78]) ).
fof(rule_299,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ l1(VAR_0,VAR_2)
| ~ p3(VAR_1,VAR_2,VAR_3)
| s4(VAR_0) ),
file('theBenchmark.p',rule_299) ).
cnf(c_117,plain,
( ~ l1(A,C)
| ~ p3(B,C,D)
| s4(A) ),
inference(clausify,[status(thm)],[rule_299]) ).
fof(rule_305,axiom,
! [VAR_0] :
( ~ m4(e,e)
| ~ s4(VAR_0)
| m5(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_305) ).
cnf(c_120,plain,
( ~ m4(e,e)
| ~ s4(A)
| m5(A,A) ),
inference(clausify,[status(thm)],[rule_305]) ).
fof(prove_this,axiom,
! [VAR_0] : ~ m5(d,VAR_0),
file('theBenchmark.p',prove_this) ).
cnf(c_132,plain,
~ m5(d,A),
inference(clausify,[status(thm)],[prove_this]) ).
cnf(c_136,plain,
( ~ m4(e,e)
| m5(D,D)
| ~ l1(D,B)
| ~ p3(A,B,C) ),
inference(resolve,[status(thm)],[c_117,c_120]) ).
cnf(c_139,plain,
( ~ m4(e,e)
| ~ l1(d,B)
| ~ p3(A,B,C) ),
inference(resolve,[status(thm)],[c_132,c_136]) ).
cnf(c_146,plain,
( ~ l2(E,D)
| m4(C,D)
| ~ s1(b)
| ~ q2(b,a,b)
| ~ m0(A,B,C)
| ~ q2(A,a,A) ),
inference(resolve,[status(thm)],[c_102,c_101]) ).
cnf(c_179,plain,
( ~ p1(B,C,A)
| p3(A,A,A) ),
inference(resolve,[status(thm)],[c_56,c_46]) ).
cnf(c_230,plain,
( ~ l2(e,e)
| ~ s1(A)
| l2(A,e) ),
inference(resolve,[status(thm)],[c_23,c_4]) ).
cnf(c_246,plain,
p1(d,d,d),
inference(resolve,[status(thm)],[c_17,c_3]) ).
cnf(c_247,plain,
p1(a,a,a),
inference(resolve,[status(thm)],[c_17,c_2]) ).
cnf(c_267,plain,
l1(a,a),
inference(resolve,[status(thm)],[c_10,c_2]) ).
fof(rule_182,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ q2(VAR_1,VAR_2,VAR_0)
| ~ n1(VAR_1,VAR_0,VAR_2)
| ~ p1(VAR_0,VAR_0,VAR_2)
| q2(VAR_0,VAR_1,VAR_0) ),
file('theBenchmark.p',rule_182) ).
cnf(c_337,plain,
( ~ q2(B,C,A)
| ~ n1(B,A,C)
| ~ p1(A,A,C)
| q2(A,B,A) ),
inference(clausify,[status(thm)],[rule_182]) ).
fof(rule_181,axiom,
! [VAR_0] :
( ~ p1(VAR_0,VAR_0,VAR_0)
| q2(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_181) ).
cnf(c_338,plain,
( ~ p1(A,A,A)
| q2(A,A,A) ),
inference(clausify,[status(thm)],[rule_181]) ).
fof(rule_177,axiom,
! [VAR_0,VAR_1] :
( ~ p1(VAR_0,VAR_0,VAR_0)
| ~ k0(VAR_1)
| q2(VAR_0,VAR_1,VAR_1) ),
file('theBenchmark.p',rule_177) ).
cnf(c_342,plain,
( ~ p1(A,A,A)
| ~ k0(B)
| q2(A,B,B) ),
inference(clausify,[status(thm)],[rule_177]) ).
fof(rule_133,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ m0(VAR_3,VAR_2,VAR_0)
| ~ s1(VAR_2)
| ~ p0(VAR_1,VAR_1)
| l2(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_133) ).
cnf(c_378,plain,
( ~ m0(D,C,A)
| ~ s1(C)
| ~ p0(B,B)
| l2(A,A) ),
inference(clausify,[status(thm)],[rule_133]) ).
fof(rule_126,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ s1(VAR_2)
| ~ q0(VAR_0,VAR_1)
| s1(VAR_0) ),
file('theBenchmark.p',rule_126) ).
cnf(c_384,plain,
( ~ s1(C)
| ~ q0(A,B)
| s1(A) ),
inference(clausify,[status(thm)],[rule_126]) ).
fof(rule_125,axiom,
! [VAR_0] :
( ~ p0(VAR_0,VAR_0)
| s1(VAR_0) ),
file('theBenchmark.p',rule_125) ).
cnf(c_385,plain,
( ~ p0(A,A)
| s1(A) ),
inference(clausify,[status(thm)],[rule_125]) ).
fof(rule_085,axiom,
! [VAR_0,VAR_1] :
( ~ p0(VAR_1,VAR_0)
| p1(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_085) ).
cnf(c_414,plain,
( ~ p0(B,A)
| p1(A,A,A) ),
inference(clausify,[status(thm)],[rule_085]) ).
fof(rule_054,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ n1(VAR_0,VAR_1,VAR_0)
| ~ l1(VAR_2,VAR_0)
| ~ l0(VAR_2)
| n1(VAR_0,VAR_1,VAR_1) ),
file('theBenchmark.p',rule_054) ).
cnf(c_435,plain,
( ~ n1(A,B,A)
| ~ l1(C,A)
| ~ l0(C)
| n1(A,B,B) ),
inference(clausify,[status(thm)],[rule_054]) ).
fof(rule_050,axiom,
! [VAR_0,VAR_1] :
( ~ p0(b,VAR_1)
| ~ l0(VAR_0)
| ~ s0(b)
| n1(VAR_0,VAR_1,VAR_0) ),
file('theBenchmark.p',rule_050) ).
cnf(c_439,plain,
( ~ p0(b,B)
| ~ l0(A)
| ~ s0(b)
| n1(A,B,A) ),
inference(clausify,[status(thm)],[rule_050]) ).
fof(rule_003,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ m0(VAR_1,VAR_0,VAR_2)
| ~ r0(VAR_3)
| ~ p0(VAR_2,VAR_0)
| l1(VAR_0,VAR_1) ),
file('theBenchmark.p',rule_003) ).
cnf(c_477,plain,
( ~ m0(B,A,C)
| ~ r0(D)
| ~ p0(C,A)
| l1(A,B) ),
inference(clausify,[status(thm)],[rule_003]) ).
fof(axiom_32,axiom,
k0(b),
file('theBenchmark.p',axiom_32) ).
cnf(c_482,plain,
k0(b),
inference(clausify,[status(thm)],[axiom_32]) ).
fof(axiom_31,axiom,
m0(b,b,e),
file('theBenchmark.p',axiom_31) ).
cnf(c_483,plain,
m0(b,b,e),
inference(clausify,[status(thm)],[axiom_31]) ).
fof(axiom_23,axiom,
m0(a,e,e),
file('theBenchmark.p',axiom_23) ).
cnf(c_489,plain,
m0(a,e,e),
inference(clausify,[status(thm)],[axiom_23]) ).
fof(axiom_20,axiom,
l0(a),
file('theBenchmark.p',axiom_20) ).
cnf(c_492,plain,
l0(a),
inference(clausify,[status(thm)],[axiom_20]) ).
fof(axiom_19,axiom,
! [VAR_0,VAR_1] : m0(VAR_0,d,VAR_1),
file('theBenchmark.p',axiom_19) ).
cnf(c_493,plain,
m0(A,d,B),
inference(clausify,[status(thm)],[axiom_19]) ).
fof(axiom_17,axiom,
! [VAR_0] : q0(VAR_0,d),
file('theBenchmark.p',axiom_17) ).
cnf(c_495,plain,
q0(A,d),
inference(clausify,[status(thm)],[axiom_17]) ).
fof(axiom_14,axiom,
! [VAR_0] : p0(b,VAR_0),
file('theBenchmark.p',axiom_14) ).
cnf(c_497,plain,
p0(b,A),
inference(clausify,[status(thm)],[axiom_14]) ).
fof(axiom_13,axiom,
r0(e),
file('theBenchmark.p',axiom_13) ).
cnf(c_498,plain,
r0(e),
inference(clausify,[status(thm)],[axiom_13]) ).
fof(axiom_5,axiom,
s0(b),
file('theBenchmark.p',axiom_5) ).
cnf(c_502,plain,
s0(b),
inference(clausify,[status(thm)],[axiom_5]) ).
cnf(c_946,plain,
( ~ p0(b,B)
| ~ l0(A)
| n1(A,B,A) ),
inference(resolve,[status(thm)],[c_502,c_439]) ).
cnf(c_599,plain,
( ~ l0(A)
| n1(A,B,A) ),
inference(resolve,[status(thm)],[c_497,c_946]) ).
cnf(c_634,plain,
( ~ l1(d,E)
| ~ p3(D,E,F)
| ~ l2(C,e)
| ~ s1(b)
| ~ q2(b,a,b)
| ~ m0(A,B,e)
| ~ q2(A,a,A) ),
inference(resolve,[status(thm)],[c_146,c_139]) ).
cnf(c_649,plain,
p3(d,d,d),
inference(resolve,[status(thm)],[c_179,c_246]) ).
cnf(c_947,plain,
( ~ p1(A,A,A)
| q2(A,b,b) ),
inference(resolve,[status(thm)],[c_342,c_482]) ).
cnf(c_703,plain,
q2(a,b,b),
inference(resolve,[status(thm)],[c_947,c_247]) ).
cnf(c_758,plain,
p1(A,A,A),
inference(resolve,[status(thm)],[c_414,c_497]) ).
cnf(c_765,plain,
s1(b),
inference(resolve,[status(thm)],[c_385,c_497]) ).
cnf(c_772,plain,
q2(A,A,A),
inference(resolve,[status(thm)],[c_758,c_338]) ).
cnf(c_773,plain,
( ~ l1(d,E)
| ~ p3(D,E,F)
| ~ l2(C,e)
| ~ q2(b,a,b)
| ~ m0(A,B,e)
| ~ q2(A,a,A) ),
inference(resolve,[status(thm)],[c_765,c_634]) ).
cnf(c_948,plain,
( ~ m0(B,A,b)
| ~ r0(C)
| l1(A,B) ),
inference(resolve,[status(thm)],[c_477,c_497]) ).
cnf(c_949,plain,
( ~ m0(B,A,b)
| l1(A,B) ),
inference(resolve,[status(thm)],[c_948,c_498]) ).
cnf(c_788,plain,
l1(d,A),
inference(resolve,[status(thm)],[c_949,c_493]) ).
cnf(c_792,plain,
( ~ p3(D,E,F)
| ~ l2(C,e)
| ~ q2(b,a,b)
| ~ m0(A,B,e)
| ~ q2(A,a,A) ),
inference(resolve,[status(thm)],[c_788,c_773]) ).
cnf(c_824,plain,
n1(a,A,a),
inference(resolve,[status(thm)],[c_599,c_492]) ).
cnf(c_950,plain,
( ~ s1(B)
| s1(A) ),
inference(resolve,[status(thm)],[c_384,c_495]) ).
cnf(c_847,plain,
s1(A),
inference(resolve,[status(thm)],[c_950,c_765]) ).
cnf(c_951,plain,
( ~ m0(C,B,A)
| ~ s1(B)
| l2(A,A) ),
inference(resolve,[status(thm)],[c_378,c_497]) ).
cnf(c_952,plain,
( ~ m0(B,b,A)
| l2(A,A) ),
inference(resolve,[status(thm)],[c_951,c_765]) ).
cnf(c_850,plain,
l2(e,e),
inference(resolve,[status(thm)],[c_952,c_483]) ).
cnf(c_953,plain,
( ~ l2(e,e)
| l2(A,e) ),
inference(resolve,[status(thm)],[c_847,c_230]) ).
cnf(c_873,plain,
l2(A,e),
inference(resolve,[status(thm)],[c_850,c_953]) ).
cnf(c_883,plain,
( ~ p3(C,D,E)
| ~ q2(b,a,b)
| ~ m0(A,B,e)
| ~ q2(A,a,A) ),
inference(resolve,[status(thm)],[c_873,c_792]) ).
cnf(c_954,plain,
( ~ p3(A,B,C)
| ~ q2(b,a,b)
| ~ q2(a,a,a) ),
inference(resolve,[status(thm)],[c_883,c_489]) ).
cnf(c_897,plain,
( ~ p3(A,B,C)
| ~ q2(b,a,b) ),
inference(resolve,[status(thm)],[c_772,c_954]) ).
cnf(c_901,plain,
~ q2(b,a,b),
inference(resolve,[status(thm)],[c_897,c_649]) ).
cnf(c_902,plain,
( ~ q2(a,A,b)
| ~ n1(a,b,A)
| ~ p1(b,b,A) ),
inference(resolve,[status(thm)],[c_901,c_337]) ).
cnf(c_955,plain,
( ~ n1(a,b,b)
| ~ p1(b,b,b) ),
inference(resolve,[status(thm)],[c_703,c_902]) ).
cnf(c_942,plain,
~ n1(a,b,b),
inference(resolve,[status(thm)],[c_758,c_955]) ).
cnf(c_956,plain,
( ~ n1(a,b,a)
| ~ l1(A,a)
| ~ l0(A) ),
inference(resolve,[status(thm)],[c_435,c_942]) ).
cnf(c_957,plain,
( ~ n1(a,b,a)
| ~ l1(a,a) ),
inference(resolve,[status(thm)],[c_956,c_492]) ).
cnf(c_958,plain,
~ n1(a,b,a),
inference(resolve,[status(thm)],[c_957,c_267]) ).
cnf(c_945,plain,
$false,
inference(resolve,[status(thm)],[c_824,c_958]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN142-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n007.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 17:13:38 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.35 % Process 49933 was started by sandbox2 on n007,
% 0.10/0.35 % Sat Sep 26 17:13:38 2026
% 0.10/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/0.37
% 0.13/0.37 % From the command line: assign(max_seconds, 300).
% 0.88/0.50
% 0.88/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.88/0.50
% 0.88/0.50 % Proof 1 at 0.11 (+ 0.01) seconds.
% 0.88/0.50 % Length of proof is 62.
% 0.88/0.50 % Level of proof is 11.
% 0.88/0.50 % Maximum clause weight is 29.000.
% 0.88/0.50 % Given clauses 363.
% 0.88/0.50
% 0.88/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------