%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR068-10 : 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 : 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 07:07:05 AM UTC 2026
% Result : Unsatisfiable 0.44s 0.84s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 20 ( 2 sgn 9 !; 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_61,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_62,plain,
ifeq3(A,A,B,C) = B,
inference(clausify,[status(thm)],[ifeq_axiom_001]) ).
fof(ax3_5580,axiom,
! [VAR_0] : ifeq4(furpelt(VAR_0),true,ifeq4(mtvisible(c_tptp_spindleheadmt),true,tptpofobject(VAR_0,f_tptpquantityfn_1(n_328)),true),true) = true,
file('theBenchmark.p',ax3_5580) ).
cnf(c_64,plain,
ifeq4(furpelt(A),true,ifeq4(mtvisible(c_tptp_spindleheadmt),true,tptpofobject(A,f_tptpquantityfn_1(n_328)),true),true) = true,
inference(clausify,[status(thm)],[ax3_5580]) ).
fof(ax3_9650,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) = true,
file('theBenchmark.p',ax3_9650) ).
cnf(c_66,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) = true,
inference(clausify,[status(thm)],[ax3_9650]) ).
fof(ax3_10453,axiom,
furpelt(c_theprototypicalfurpelt) = true,
file('theBenchmark.p',ax3_10453) ).
cnf(c_67,plain,
furpelt(c_theprototypicalfurpelt) = true,
inference(clausify,[status(thm)],[ax3_10453]) ).
fof(ax3_44208,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',ax3_44208) ).
cnf(c_95,plain,
ifeq4(genlmt(A,B),true,ifeq4(mtvisible(A),true,mtvisible(B),true),true) = true,
inference(clausify,[status(thm)],[ax3_44208]) ).
fof(query218,axiom,
mtvisible(c_tptp_member2356_mt) = true,
file('theBenchmark.p',query218) ).
cnf(c_97,plain,
mtvisible(c_tptp_member2356_mt) = true,
inference(clausify,[status(thm)],[query218]) ).
fof(query218_1,axiom,
ifeq3(tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),true,a,b) = b,
file('theBenchmark.p',query218_1) ).
cnf(c_98,plain,
ifeq3(tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),true,a,b) = b,
inference(clausify,[status(thm)],[query218_1]) ).
fof(goal,axiom,
a != b,
file('theBenchmark.p',goal) ).
cnf(c_99,plain,
a != b,
inference(clausify,[status(thm)],[goal]) ).
cnf(c_101,plain,
ifeq4(true,true,ifeq4(mtvisible(c_tptp_spindleheadmt),true,tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),true),true) = true,
inference(paramod,[status(thm)],[c_67,c_64]) ).
cnf(c_137,plain,
ifeq4(genlmt(c_tptp_member2356_mt,A),true,ifeq4(true,true,mtvisible(A),true),true) = true,
inference(paramod,[status(thm)],[c_97,c_95]) ).
cnf(c_271,plain,
true = ifeq4(mtvisible(c_tptp_spindleheadmt),true,tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),true),
inference(paramod,[status(thm)],[c_101,c_61]) ).
cnf(c_176,plain,
ifeq4(mtvisible(c_tptp_spindleheadmt),true,tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),true) = true,
inference(copy,[status(thm)],[c_271]) ).
cnf(c_185,plain,
ifeq4(genlmt(c_tptp_member2356_mt,A),true,mtvisible(A),true) = true,
inference(paramod,[status(thm)],[c_61,c_137]) ).
cnf(c_193,plain,
ifeq4(true,true,mtvisible(c_tptp_spindleheadmt),true) = true,
inference(paramod,[status(thm)],[c_66,c_185]) ).
cnf(c_272,plain,
true = mtvisible(c_tptp_spindleheadmt),
inference(paramod,[status(thm)],[c_193,c_61]) ).
cnf(c_195,plain,
mtvisible(c_tptp_spindleheadmt) = true,
inference(copy,[status(thm)],[c_272]) ).
cnf(c_264,plain,
ifeq4(true,true,tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),true) = true,
inference(paramod,[status(thm)],[c_195,c_176]) ).
cnf(c_273,plain,
true = tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(paramod,[status(thm)],[c_264,c_61]) ).
cnf(c_265,plain,
tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) = true,
inference(copy,[status(thm)],[c_273]) ).
cnf(c_268,plain,
ifeq3(true,true,a,b) = b,
inference(paramod,[status(thm)],[c_265,c_98]) ).
cnf(c_274,plain,
b = a,
inference(paramod,[status(thm)],[c_268,c_62]) ).
cnf(c_275,plain,
a = b,
inference(copy,[status(thm)],[c_274]) ).
cnf(c_270,plain,
$false,
inference(resolve,[status(thm)],[c_99,c_275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR068-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 00:31:55 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38 % Process 843307 was started by sandbox on n007,
% 0.10/0.38 % Sun Sep 27 00:31:55 2026
% 0.10/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.44/0.84
% 0.44/0.84 % SInE (scan): 84 to sos (tol 1.5x), 20 to usable (tol 2.0x), 44116 zapped, of 44220 axioms (depth 3).
% 0.44/0.84
% 0.44/0.84 % From the command line: assign(max_seconds, 300).
% 0.44/0.84
% 0.44/0.84 % SZS status Unsatisfiable for theBenchmark
% 0.44/0.84
% 0.44/0.84 % Proof 1 at 0.07 (+ 0.05) seconds.
% 0.44/0.84 % Length of proof is 19.
% 0.44/0.84 % Level of proof is 8.
% 0.44/0.84 % Maximum clause weight is 117.000.
% 0.44/0.84 % Given clauses 181.
% 0.44/0.84
% 0.44/0.84 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------