%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR072-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 07:07:08 AM UTC 2026
% Result : Unsatisfiable 0.17s 5.73s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 6 ( 1 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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_30,plain,
ifeq3(A,A,B,C) = B,
inference(clausify,[status(thm)],[ifeq_axiom_001]) ).
fof(ax2_4304,axiom,
genls(c_tptpcol_16_130924,c_tptpcol_15_130923) = true,
file('theBenchmark.p',ax2_4304) ).
cnf(c_41,plain,
genls(c_tptpcol_16_130924,c_tptpcol_15_130923) = true,
inference(clausify,[status(thm)],[ax2_4304]) ).
fof(query172_1,axiom,
ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) = b,
file('theBenchmark.p',query172_1) ).
cnf(c_74,plain,
ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) = b,
inference(clausify,[status(thm)],[query172_1]) ).
cnf(c_78,plain,
ifeq3(true,true,a,b) = b,
inference(paramod,[status(thm)],[c_41,c_74]) ).
cnf(c_75,plain,
a = b,
inference(paramod,[status(thm)],[c_30,c_78]) ).
fof(goal,axiom,
a != b,
file('theBenchmark.p',goal) ).
cnf(c_76,plain,
a != b,
inference(clausify,[status(thm)],[goal]) ).
cnf(c_79,plain,
b != b,
inference(paramod,[status(thm)],[c_75,c_76]) ).
cnf(c_77,plain,
$false,
inference(copy,[status(thm)],[c_79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR072-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.60 % Computer : n002.cluster.edu
% 0.15/5.60 % Model : x86_64 x86_64
% 0.15/5.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.60 % Memory : 8046.5625MB
% 0.15/5.60 % OS : Linux 6.8.0-71-generic
% 0.15/5.60 % CPULimit : 300
% 0.15/5.60 % WCLimit : 300
% 0.15/5.60 % DateTime : Sun Sep 27 00:40:15 UTC 2026
% 0.15/5.60 % CPUTime :
% 0.15/5.60 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/5.60 % Process 3006407 was started by sandbox on n002,
% 0.15/5.60 % Sun Sep 27 00:40:15 2026
% 0.15/5.60 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/5.73
% 0.17/5.73 % SInE (scan): 61 to sos (tol 1.5x), 14 to usable (tol 2.0x), 7937 zapped, of 8012 axioms (depth 3).
% 0.17/5.73
% 0.17/5.73 % From the command line: assign(max_seconds, 300).
% 0.17/5.73
% 0.17/5.73 % SZS status Unsatisfiable for theBenchmark
% 0.17/5.73
% 0.17/5.73 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.17/5.73 % Length of proof is 6.
% 0.17/5.73 % Level of proof is 2.
% 0.17/5.73 % Maximum clause weight is 17.000.
% 0.17/5.73 % Given clauses 0.
% 0.17/5.73
% 0.17/5.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------