%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR051-10 : 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 : n009.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 07:06:53 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.46s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 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 : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 14 ( 3 sgn 7 !; 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_34,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_35,plain,
ifeq3(A,A,B,C) = B,
inference(clausify,[status(thm)],[ifeq_axiom_001]) ).
fof(ax2_395,axiom,
ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) = true,
file('theBenchmark.p',ax2_395) ).
cnf(c_38,plain,
ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) = true,
inference(clausify,[status(thm)],[ax2_395]) ).
fof(query151,axiom,
mtvisible(c_tptp_member3356_mt) = true,
file('theBenchmark.p',query151) ).
cnf(c_55,plain,
mtvisible(c_tptp_member3356_mt) = true,
inference(clausify,[status(thm)],[query151]) ).
fof(query151_1,axiom,
! [VAR_0] : ifeq3(marriagelicensedocument(VAR_0),true,a,b) = b,
file('theBenchmark.p',query151_1) ).
cnf(c_57,plain,
ifeq3(marriagelicensedocument(A),true,a,b) = b,
inference(clausify,[status(thm)],[query151_1]) ).
fof(goal,axiom,
a != b,
file('theBenchmark.p',goal) ).
cnf(c_58,plain,
a != b,
inference(clausify,[status(thm)],[goal]) ).
cnf(c_59,plain,
ifeq4(true,true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) = true,
inference(paramod,[status(thm)],[c_55,c_38]) ).
cnf(c_65,plain,
true = marriagelicensedocument(c_tptpmarriagelicensedocument),
inference(paramod,[status(thm)],[c_59,c_34]) ).
cnf(c_60,plain,
marriagelicensedocument(c_tptpmarriagelicensedocument) = true,
inference(copy,[status(thm)],[c_65]) ).
cnf(c_61,plain,
ifeq3(true,true,a,b) = b,
inference(paramod,[status(thm)],[c_60,c_57]) ).
cnf(c_66,plain,
b = a,
inference(paramod,[status(thm)],[c_61,c_35]) ).
cnf(c_67,plain,
a = b,
inference(copy,[status(thm)],[c_66]) ).
cnf(c_64,plain,
$false,
inference(resolve,[status(thm)],[c_58,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR051-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 00:19:15 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 1467479 was started by sandbox on n009,
% 0.09/0.37 % Sun Sep 27 00:19:15 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.46
% 0.09/0.46 % SInE (scan): 56 to sos (tol 1.5x), 12 to usable (tol 2.0x), 7944 zapped, of 8012 axioms (depth 3).
% 0.09/0.46
% 0.09/0.46 % From the command line: assign(max_seconds, 300).
% 0.09/0.46
% 0.09/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.46
% 0.09/0.46 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.09/0.46 % Length of proof is 10.
% 0.09/0.46 % Level of proof is 4.
% 0.09/0.46 % Maximum clause weight is 117.000.
% 0.09/0.46 % Given clauses 14.
% 0.09/0.46
% 0.09/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------