%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR059-10 : TPTP v9.3.1. Released v7.3.0.
% 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 07:06:59 AM UTC 2026
% Result : Unsatisfiable 0.26s 0.55s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 20 ( 2 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ifeq_axiom,axiom,
! [VAR_0,VAR_1,VAR_2] : ifeq4(VAR_0,VAR_0,VAR_1,VAR_2) = VAR_1,
file('theBenchmark.p',ifeq_axiom) ).
cnf(c_38,plain,
ifeq4(A,A,B,C) = B,
inference(clausify,[status(thm)],[ifeq_axiom]) ).
fof(ifeq_axiom_001,axiom,
! [VAR_0,VAR_1,VAR_2] : ifeq3(VAR_0,VAR_0,VAR_1,VAR_2) = VAR_1,
file('theBenchmark.p',ifeq_axiom_001) ).
cnf(c_39,plain,
ifeq3(A,A,B,C) = B,
inference(clausify,[status(thm)],[ifeq_axiom_001]) ).
fof(ax2_489,axiom,
ifeq4(mtvisible(c_tptpgeo_member5_mt),true,borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),true) = true,
file('theBenchmark.p',ax2_489) ).
cnf(c_43,plain,
ifeq4(mtvisible(c_tptpgeo_member5_mt),true,borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),true) = true,
inference(clausify,[status(thm)],[ax2_489]) ).
fof(ax2_2388,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt) = true,
file('theBenchmark.p',ax2_2388) ).
cnf(c_51,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt) = true,
inference(clausify,[status(thm)],[ax2_2388]) ).
fof(ax2_7642,axiom,
! [VAR_0,VAR_1] : ifeq4(borderson(VAR_0,VAR_1),true,borderson(VAR_1,VAR_0),true) = true,
file('theBenchmark.p',ax2_7642) ).
cnf(c_71,plain,
ifeq4(borderson(A,B),true,borderson(B,A),true) = true,
inference(clausify,[status(thm)],[ax2_7642]) ).
fof(ax2_7997,axiom,
! [VAR_0,VAR_1] : ifeq4(genlmt(VAR_0,VAR_1),true,ifeq4(mtvisible(VAR_0),true,mtvisible(VAR_1),true),true) = true,
file('theBenchmark.p',ax2_7997) ).
cnf(c_87,plain,
ifeq4(genlmt(A,B),true,ifeq4(mtvisible(A),true,mtvisible(B),true),true) = true,
inference(clausify,[status(thm)],[ax2_7997]) ).
fof(query159,axiom,
mtvisible(c_tptpgeo_spindlecollectormt) = true,
file('theBenchmark.p',query159) ).
cnf(c_89,plain,
mtvisible(c_tptpgeo_spindlecollectormt) = true,
inference(clausify,[status(thm)],[query159]) ).
fof(query159_1,axiom,
ifeq3(borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),true,a,b) = b,
file('theBenchmark.p',query159_1) ).
cnf(c_91,plain,
ifeq3(borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),true,a,b) = b,
inference(clausify,[status(thm)],[query159_1]) ).
fof(goal,axiom,
a != b,
file('theBenchmark.p',goal) ).
cnf(c_92,plain,
a != b,
inference(clausify,[status(thm)],[goal]) ).
cnf(c_156,plain,
ifeq4(true,true,ifeq4(mtvisible(c_tptpgeo_spindlecollectormt),true,mtvisible(c_tptpgeo_member5_mt),true),true) = true,
inference(paramod,[status(thm)],[c_51,c_87]) ).
cnf(c_157,plain,
ifeq4(true,true,ifeq4(true,true,mtvisible(c_tptpgeo_member5_mt),true),true) = true,
inference(paramod,[status(thm)],[c_89,c_156]) ).
cnf(c_158,plain,
ifeq4(true,true,mtvisible(c_tptpgeo_member5_mt),true) = true,
inference(paramod,[status(thm)],[c_38,c_157]) ).
cnf(c_146,plain,
mtvisible(c_tptpgeo_member5_mt) = true,
inference(paramod,[status(thm)],[c_38,c_158]) ).
cnf(c_159,plain,
ifeq4(true,true,borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),true) = true,
inference(paramod,[status(thm)],[c_146,c_43]) ).
cnf(c_147,plain,
borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) = true,
inference(paramod,[status(thm)],[c_38,c_159]) ).
cnf(c_160,plain,
ifeq4(true,true,borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),true) = true,
inference(paramod,[status(thm)],[c_147,c_71]) ).
cnf(c_153,plain,
borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) = true,
inference(paramod,[status(thm)],[c_38,c_160]) ).
cnf(c_161,plain,
ifeq3(true,true,a,b) = b,
inference(paramod,[status(thm)],[c_153,c_91]) ).
cnf(c_154,plain,
a = b,
inference(paramod,[status(thm)],[c_39,c_161]) ).
cnf(c_155,plain,
$false,
inference(resolve,[status(thm)],[c_154,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR059-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40 % Computer : n007.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 00:23:39 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.41 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/0.41 % Process 825799 was started by sandbox2 on n007,
% 0.14/0.41 % Sun Sep 27 00:23:39 2026
% 0.14/0.41 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.26/0.55
% 0.26/0.55 % SInE (scan): 78 to sos (tol 1.5x), 14 to usable (tol 2.0x), 7920 zapped, of 8012 axioms (depth 3).
% 0.26/0.55
% 0.26/0.55 % From the command line: assign(max_seconds, 300).
% 0.26/0.55
% 0.26/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.26/0.55
% 0.26/0.55 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.26/0.55 % Length of proof is 14.
% 0.26/0.55 % Level of proof is 5.
% 0.26/0.55 % Maximum clause weight is 107.000.
% 0.26/0.55 % Given clauses 46.
% 0.26/0.55
% 0.26/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------