%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN036-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.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 : Fri Sep 25 03:38:55 PM UTC 2026
% Result : Unsatisfiable 1.79s 1.26s
% Output : CNFRefutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 109 ( 1 unt; 0 def)
% Number of atoms : 409 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 510 ( 210 ~; 300 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 173 ( 0 sgn 173 !; 0 ?; 131 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( q(X1)
| p(X0)
| ~ q(cw)
| ~ p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( q(cw)
| p(X1)
| ~ q(X0)
| ~ p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( q(X1)
| p(cx)
| ~ q(cw)
| ~ p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( q(cw)
| p(cx)
| ~ q(X1)
| ~ p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( q(X1)
| ~ q(cw)
| ~ p(fy5(X0))
| ~ p(X0)
| ~ p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( q(cw)
| ~ q(X1)
| ~ p(fy5(X0))
| ~ p(X0)
| ~ p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( p(X1)
| ~ q(fz5(X0))
| ~ q(X0)
| ~ q(cw)
| ~ p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] :
( q(X2)
| p(X1)
| ~ q(fz(X0))
| ~ q(X0)
| ~ p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f10,negated_conjecture,
! [X0,X1] :
( q(fz(X1))
| q(X1)
| q(cw)
| p(X0)
| ~ p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f13,negated_conjecture,
! [X2,X3,X0,X1] :
( q(cw)
| p(X3)
| ~ q(X2)
| ~ p(fy5(X1))
| ~ p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
fof(f14,negated_conjecture,
! [X2,X0,X1] :
( q(cw)
| p(fy5(X2))
| p(X2)
| ~ q(X1)
| ~ p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
fof(f15,negated_conjecture,
! [X0,X1] :
( q(fz(X1))
| q(X1)
| q(cw)
| p(cx)
| ~ p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f16,negated_conjecture,
! [X0,X1] :
( p(cx)
| ~ q(fz5(X1))
| ~ q(X1)
| ~ q(cw)
| ~ p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
fof(f19,negated_conjecture,
! [X0,X1] :
( q(X1)
| p(fy(X0))
| p(X0)
| p(cx)
| ~ q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
fof(f20,negated_conjecture,
! [X0,X1] :
( q(cw)
| p(fy(X1))
| p(X1)
| p(cx)
| ~ q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
fof(f22,negated_conjecture,
! [X0,X1] :
( q(fz(X1))
| q(X1)
| q(cw)
| ~ p(fy(X0))
| ~ p(X0)
| ~ p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
fof(f23,negated_conjecture,
! [X0,X1] :
( ~ q(fz5(X1))
| ~ q(X1)
| ~ q(cw)
| ~ p(fy5(X0))
| ~ p(X0)
| ~ p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
fof(f30,negated_conjecture,
! [X0,X1] :
( p(fy(X1))
| p(X1)
| p(cx)
| ~ q(fz(X0))
| ~ q(X0)
| ~ q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30) ).
fof(f32,negated_conjecture,
! [X0,X1] :
( q(fz5(X1))
| q(X1)
| q(cw)
| p(fy5(X0))
| p(X0)
| p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_32) ).
tcf(c_81,negated_conjecture,
! [X0: $i,X1: $i] :
( q(X1)
| p(X0)
| ~ q(cw)
| ~ p(cx) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_82,negated_conjecture,
! [X0: $i,X1: $i] :
( q(cw)
| p(X1)
| ~ p(cx)
| ~ q(X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_83,negated_conjecture,
! [X0: $i,X1: $i] :
( p(cx)
| q(X1)
| ~ q(cw)
| ~ p(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_84,negated_conjecture,
! [X0: $i,X1: $i] :
( q(cw)
| p(cx)
| ~ q(X1)
| ~ p(X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_85,negated_conjecture,
! [X0: $i,X1: $i] :
( q(X1)
| ~ q(cw)
| ~ p(cx)
| ~ p(X0)
| ~ p(fy5(X0)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_86,negated_conjecture,
! [X0: $i,X1: $i] :
( q(cw)
| ~ p(cx)
| ~ q(X1)
| ~ p(X0)
| ~ p(fy5(X0)) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,negated_conjecture,
! [X0: $i,X1: $i] :
( p(X1)
| ~ q(cw)
| ~ p(cx)
| ~ q(X0)
| ~ q(fz5(X0)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_89,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( q(X2)
| p(X1)
| ~ p(cx)
| ~ q(X0)
| ~ q(fz(X0)) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_90,negated_conjecture,
! [X0: $i,X1: $i] :
( q(cw)
| q(X0)
| p(X1)
| q(fz(X0))
| ~ p(cx) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_93,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( q(cw)
| p(X3)
| ~ q(X2)
| ~ p(X1)
| ~ p(fy5(X0)) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_94,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( q(cw)
| p(X2)
| p(fy5(X2))
| ~ q(X1)
| ~ p(X0) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_95,negated_conjecture,
! [X0: $i,X1: $i] :
( q(cw)
| p(cx)
| q(X1)
| q(fz(X1))
| ~ p(X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_96,negated_conjecture,
! [X0: $i,X1: $i] :
( p(cx)
| ~ q(cw)
| ~ q(X0)
| ~ p(X1)
| ~ q(fz5(X0)) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_99,negated_conjecture,
! [X0: $i,X1: $i] :
( p(cx)
| q(X1)
| p(X0)
| p(fy(X0))
| ~ q(cw) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_100,negated_conjecture,
! [X0: $i,X1: $i] :
( q(cw)
| p(cx)
| p(X1)
| p(fy(X1))
| ~ q(X0) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_102,negated_conjecture,
! [X0: $i,X1: $i] :
( q(cw)
| q(X1)
| q(fz(X1))
| ~ p(cx)
| ~ p(X0)
| ~ p(fy(X0)) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_103,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ q(cw)
| ~ p(cx)
| ~ q(X1)
| ~ p(X0)
| ~ q(fz5(X1))
| ~ p(fy5(X0)) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_110,negated_conjecture,
! [X0: $i,X1: $i] :
( p(cx)
| p(X1)
| p(fy(X1))
| ~ q(cw)
| ~ q(X0)
| ~ q(fz(X0)) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_112,negated_conjecture,
! [X0: $i,X1: $i] :
( q(cw)
| p(cx)
| q(X1)
| p(X0)
| q(fz5(X1))
| p(fy5(X0)) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_120,plain,
( q(cw)
| q(fz(cw))
| ~ p(cw)
| ~ p(cx)
| ~ p(fy(cw)) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i] :
( q(cw)
| ~ q(X0)
| p(fy(X1))
| p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_100,c_82,c_100]) ).
tcf(c_124,negated_conjecture,
! [X0: $i,X1: $i] :
( q(cw)
| p(X1)
| p(fy(X1))
| ~ q(X0) ),
inference(renaming,[status(thm)],[c_123]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i] :
( p(cx)
| q(X1)
| ~ q(cw)
| p(fy(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_99,c_83,c_99]) ).
tcf(c_126,negated_conjecture,
! [X0: $i,X1: $i] :
( p(cx)
| q(X1)
| p(fy(X0))
| ~ q(cw) ),
inference(renaming,[status(thm)],[c_125]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i] :
( q(cw)
| p(cx)
| ~ p(X0)
| q(fz(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_95,c_84,c_95]) ).
tcf(c_128,negated_conjecture,
! [X0: $i,X1: $i] :
( q(cw)
| p(cx)
| q(fz(X1))
| ~ p(X0) ),
inference(renaming,[status(thm)],[c_127]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i] :
( q(cw)
| ~ p(cx)
| q(fz(X0))
| p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_90,c_82,c_90]) ).
tcf(c_130,negated_conjecture,
! [X0: $i,X1: $i] :
( q(cw)
| p(X1)
| q(fz(X0))
| ~ p(cx) ),
inference(renaming,[status(thm)],[c_129]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] :
( p(X1)
| ~ q(fz5(X0))
| ~ q(X0)
| ~ p(cx) ),
inference(global_subsumption_just,[status(thm)],[c_87,c_82,c_87]) ).
tcf(c_132,negated_conjecture,
! [X0: $i,X1: $i] :
( p(X1)
| ~ p(cx)
| ~ q(X0)
| ~ q(fz5(X0)) ),
inference(renaming,[status(thm)],[c_131]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i] :
( q(cw)
| ~ p(fy5(X0))
| ~ p(X0)
| ~ q(X1) ),
inference(global_subsumption_just,[status(thm)],[c_86,c_84,c_86]) ).
tcf(c_134,negated_conjecture,
! [X0: $i,X1: $i] :
( q(cw)
| ~ q(X1)
| ~ p(X0)
| ~ p(fy5(X0)) ),
inference(renaming,[status(thm)],[c_133]) ).
tcf(c_135,negated_conjecture,
! [X0: $i,X1: $i] :
( q(X1)
| ~ q(cw)
| ~ p(cx)
| ~ p(fy5(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_85,c_81,c_85]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i] :
( p(cx)
| p(X1)
| p(fy(X1))
| ~ q(fz(X0))
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_110,c_82,c_100,c_110]) ).
tcf(c_142,negated_conjecture,
! [X0: $i,X1: $i] :
( p(cx)
| p(X1)
| p(fy(X1))
| ~ q(X0)
| ~ q(fz(X0)) ),
inference(renaming,[status(thm)],[c_141]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] :
( ~ q(cw)
| ~ p(cx)
| ~ p(fy5(X0))
| ~ q(fz5(X1))
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_103,c_81,c_85,c_103]) ).
tcf(c_151,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ q(cw)
| ~ p(cx)
| ~ p(X0)
| ~ q(fz5(X1))
| ~ p(fy5(X0)) ),
inference(renaming,[status(thm)],[c_150]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i] :
( q(X1)
| p(fy(X0))
| ~ q(cw) ),
inference(backward_subsumption_resolution,[status(thm)],[c_126,c_81]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i] :
( p(X1)
| q(fz(X0))
| ~ p(cx) ),
inference(backward_subsumption_resolution,[status(thm)],[c_130,c_81]) ).
tcf(c_161,plain,
! [X0: $i] :
( q(X0)
| ~ q(cw)
| ~ p(cx) ),
inference(backward_subsumption_resolution,[status(thm)],[c_135,c_81]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i,X2: $i] :
( q(X2)
| p(X1)
| ~ p(cx)
| ~ q(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_89,c_159]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i] :
( q(X1)
| ~ q(cw)
| ~ p(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_83,c_161]) ).
tcf(c_185,plain,
! [X0: $i] :
( ~ q(cw)
| ~ p(cx)
| ~ p(X0)
| ~ p(fy5(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_151,c_161]) ).
tcf(c_191,plain,
! [X0: $i] :
( q(X0)
| ~ q(cw) ),
inference(backward_subsumption_resolution,[status(thm)],[c_157,c_182]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i] :
( p(cx)
| q(fz(X1))
| ~ p(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_128,c_182]) ).
tcf(c_198,plain,
! [X0: $i,X1: $i] :
( p(cx)
| ~ q(cw)
| ~ q(X1)
| ~ p(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_96,c_182]) ).
tcf(c_202,plain,
! [X0: $i] :
( p(cx)
| ~ q(cw)
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_198,c_182,c_198]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i] :
( p(cx)
| q(X1)
| p(X0)
| q(fz5(X1))
| p(fy5(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_112,c_191]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i] :
( p(cx)
| ~ q(X1)
| ~ p(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_84,c_202]) ).
tcf(c_222,plain,
! [X0: $i] :
( ~ q(cw)
| ~ p(X0)
| ~ p(fy5(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_185,c_202]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i] :
( p(cx)
| p(X1)
| ~ q(X0)
| ~ q(fz(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_142,c_220]) ).
tcf(c_230,plain,
! [X0: $i] :
( p(cx)
| ~ p(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_193,c_220]) ).
tcf(c_239,plain,
! [X0: $i] :
( p(cx)
| ~ q(X0)
| ~ q(fz(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_228,c_230]) ).
tcf(c_240,plain,
! [X0: $i,X1: $i] :
( p(cx)
| q(X0)
| p(X1)
| q(fz5(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_207,c_230]) ).
tcf(c_256,plain,
! [X0: $i,X1: $i] :
( ~ q(X1)
| ~ p(X0)
| ~ p(fy5(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_134,c_222]) ).
tcf(c_267,plain,
! [X0: $i] :
( p(cx)
| q(X0)
| q(fz5(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240,c_230]) ).
tcf(c_268,plain,
( q(cw)
| p(cx)
| q(fz5(cw)) ),
inference(instantiation,[status(thm)],[c_267]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i] :
( p(X1)
| ~ p(cx)
| ~ q(fz5(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_132,c_176]) ).
tcf(c_315,plain,
! [X0: $i,X1: $i,X2: $i] :
( q(cw)
| p(X2)
| ~ q(X1)
| ~ p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94,c_93]) ).
tcf(c_326,plain,
! [X0: $i,X1: $i] :
( q(cw)
| p(X1)
| ~ q(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_124,c_315]) ).
tcf(c_482,plain,
! [X0: $i] :
( ~ iPr_def_10
| p(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_326]) ).
tcf(c_483,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ q(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_326]) ).
tcf(c_484,plain,
( iPr_def_11
| iPr_def_10
| q(cw) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_326]) ).
tcf(c_485,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ q(fz5(X0)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_294]) ).
tcf(c_486,plain,
( iPr_def_12
| iPr_def_10
| ~ p(cx) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_294]) ).
tcf(c_487,plain,
! [X0: $i] :
( ~ iPr_def_13
| ~ p(fy5(X0))
| ~ p(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_256]) ).
tcf(c_488,plain,
( iPr_def_13
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_256]) ).
tcf(c_494,plain,
! [X0: $i] :
( ~ iPr_def_17
| q(fz(X0)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_159]) ).
tcf(c_495,plain,
( iPr_def_17
| iPr_def_10
| ~ p(cx) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_159]) ).
tcf(c_503,plain,
( iPr_def_11
| iPr_def_10
| q(cw) ),
inference(demodulation,[status(thm)],[c_484]) ).
tcf(c_506,plain,
( iPr_def_12
| iPr_def_10
| ~ p(cx) ),
inference(demodulation,[status(thm)],[c_486]) ).
tcf(c_507,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ q(fz5(X0)) ),
inference(demodulation,[status(thm)],[c_485]) ).
tcf(c_510,plain,
( iPr_def_13
| iPr_def_11 ),
inference(demodulation,[status(thm)],[c_488]) ).
tcf(c_511,plain,
! [X0: $i] :
( ~ iPr_def_13
| ~ p(X0)
| ~ p(fy5(X0)) ),
inference(demodulation,[status(thm)],[c_487]) ).
tcf(c_518,plain,
! [X0: $i] :
( q(X0)
| ~ q(cw) ),
inference(demodulation,[status(thm)],[c_191]) ).
tcf(c_523,plain,
( iPr_def_17
| iPr_def_10
| ~ p(cx) ),
inference(demodulation,[status(thm)],[c_495]) ).
tcf(c_524,plain,
! [X0: $i] :
( q(fz(X0))
| ~ iPr_def_17 ),
inference(demodulation,[status(thm)],[c_494]) ).
tcf(c_534,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ q(X0) ),
inference(demodulation,[status(thm)],[c_483]) ).
tcf(c_540,plain,
! [X0: $i] :
( p(X0)
| ~ iPr_def_10 ),
inference(demodulation,[status(thm)],[c_482]) ).
tcf(c_541,plain,
( p(cw)
| ~ iPr_def_10 ),
inference(instantiation,[status(thm)],[c_540]) ).
tcf(c_546,plain,
( ~ iPr_def_12
| ~ q(fz5(cw)) ),
inference(instantiation,[status(thm)],[c_507]) ).
tcf(c_554,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ q(fz5(X0)) ),
inference(instantiation,[status(thm)],[c_534]) ).
tcf(c_558,plain,
! [X0: $i] :
( p(fy(X0))
| ~ iPr_def_10 ),
inference(instantiation,[status(thm)],[c_540]) ).
tcf(c_561,plain,
( p(fy(cw))
| ~ iPr_def_10 ),
inference(instantiation,[status(thm)],[c_558]) ).
tcf(c_562,plain,
! [X0: $i] :
( p(fy5(X0))
| ~ iPr_def_10 ),
inference(instantiation,[status(thm)],[c_540]) ).
tcf(c_572,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ q(fz(X0)) ),
inference(instantiation,[status(thm)],[c_534]) ).
tcf(c_573,plain,
( ~ iPr_def_11
| ~ q(fz(cw)) ),
inference(instantiation,[status(thm)],[c_572]) ).
tcf(c_582,plain,
! [X0: $i] :
( q(fz5(X0))
| ~ q(cw) ),
inference(instantiation,[status(thm)],[c_518]) ).
tcf(c_589,plain,
! [X0: $i] :
( q(fz(X0))
| ~ q(cw) ),
inference(instantiation,[status(thm)],[c_518]) ).
tcf(c_592,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_589,c_582,c_573,c_572,c_562,c_561,c_554,c_511,c_546,c_507,c_524,c_523,c_506,c_534,c_541,c_540,c_503,c_510,c_268,c_267,c_239,c_230,c_222,c_191,c_120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN036-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 23:53:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 1.79/1.26 % SZS status Started for theBenchmark.p
% 1.79/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.79/1.26
% 1.79/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.79/1.26
% 1.79/1.26 % ------ iProver source info
% 1.79/1.26
% 1.79/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.79/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.79/1.26 % git: non_committed_changes: false
% 1.79/1.26
% 1.79/1.26 % ------ Parsing...% successful
% 1.79/1.26
% 1.79/1.26
% 1.79/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.79/1.26
% 1.79/1.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.79/1.26
% 1.79/1.26 % ------ Preprocessing... gs_s sp: 25 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.79/1.26 % ------ Proving...
% 1.79/1.26 % ------ Problem Properties
% 1.79/1.26
% 1.79/1.26 %
% 1.79/1.26 % clauses 25
% 1.79/1.26 % conjectures 6
% 1.79/1.26 % EPR 15
% 1.79/1.26 % Horn 13
% 1.79/1.26 % unary 0
% 1.79/1.26 % binary 10
% 1.79/1.26 % lits 69
% 1.79/1.26 % lits eq 0
% 1.79/1.26 % fd_pure 0
% 1.79/1.26 % fd_pseudo 0
% 1.79/1.26 % fd_cond 0
% 1.79/1.26 % fd_pseudo_cond 0
% 1.79/1.26 % AC symbols 0
% 1.79/1.26
% 1.79/1.26 % ------ Schedule dynamic 5 is on
% 1.79/1.26
% 1.79/1.26 % ------ no equalities: superposition off
% 1.79/1.26
% 1.79/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.79/1.26
% 1.79/1.26
% 1.79/1.26 % ------
% 1.79/1.26 % Current options:
% 1.79/1.26 % ------
% 1.79/1.26
% 1.79/1.26
% 1.79/1.26 %
% 1.79/1.26
% 1.79/1.26 % ------ Proving...
% 1.79/1.26 %
% 1.79/1.26
% 1.79/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.79/1.26
% 1.79/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.79/1.27
% 1.79/1.27
%------------------------------------------------------------------------------