TSTP Solution File: NUM478+2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM478+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:49:29 EDT 2024
% Result : Theorem 4.36s 1.25s
% Output : CNFRefutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 41 ( 20 unt; 0 def)
% Number of atoms : 87 ( 38 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 82 ( 36 ~; 30 |; 12 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f36,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1524) ).
fof(f38,axiom,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1553) ).
fof(f39,conjecture,
( ( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) )
=> ( sdtasdt0(xn,sdtsldt0(xm,xl)) = sdtsldt0(sdtasdt0(xn,xm),xl)
| sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f40,negated_conjecture,
~ ( ( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) )
=> ( sdtasdt0(xn,sdtsldt0(xm,xl)) = sdtsldt0(sdtasdt0(xn,xm),xl)
| sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) ) ),
inference(negated_conjecture,[],[f39]) ).
fof(f53,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f54,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f56,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f55]) ).
fof(f100,plain,
( sdtasdt0(xn,sdtsldt0(xm,xl)) != sdtsldt0(sdtasdt0(xn,xm),xl)
& sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f101,plain,
( sdtasdt0(xn,sdtsldt0(xm,xl)) != sdtsldt0(sdtasdt0(xn,xm),xl)
& sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(flattening,[],[f100]) ).
fof(f125,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f126,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f172,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f36]) ).
fof(f173,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f36]) ).
fof(f178,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f38]) ).
fof(f179,plain,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f101]) ).
fof(f180,plain,
xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f101]) ).
fof(f181,plain,
sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(cnf_transformation,[],[f101]) ).
cnf(c_58,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_59,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_104,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f173]) ).
cnf(c_105,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f172]) ).
cnf(c_110,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f178]) ).
cnf(c_112,negated_conjecture,
sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) != sdtasdt0(xn,xm),
inference(cnf_transformation,[],[f181]) ).
cnf(c_113,negated_conjecture,
sdtasdt0(xl,sdtsldt0(xm,xl)) = xm,
inference(cnf_transformation,[],[f180]) ).
cnf(c_114,negated_conjecture,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f179]) ).
cnf(c_2791,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_110,c_58]) ).
cnf(c_2833,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,xl),X1) = sdtasdt0(X0,sdtasdt0(xl,X1)) ),
inference(superposition,[status(thm)],[c_105,c_59]) ).
cnf(c_2834,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,xn),X1) = sdtasdt0(X0,sdtasdt0(xn,X1)) ),
inference(superposition,[status(thm)],[c_110,c_59]) ).
cnf(c_2873,plain,
sdtasdt0(xm,xn) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_104,c_2791]) ).
cnf(c_2874,plain,
sdtasdt0(xl,xn) = sdtasdt0(xn,xl),
inference(superposition,[status(thm)],[c_105,c_2791]) ).
cnf(c_2878,plain,
sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) != sdtasdt0(xm,xn),
inference(demodulation,[status(thm)],[c_112,c_2873]) ).
cnf(c_3118,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,xn),sdtsldt0(xm,xl)) = sdtasdt0(X0,sdtasdt0(xn,sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_114,c_2834]) ).
cnf(c_3145,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,xl),sdtsldt0(xm,xl)) = sdtasdt0(X0,sdtasdt0(xl,sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_114,c_2833]) ).
cnf(c_4003,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_105,c_3118]) ).
cnf(c_4128,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,xl),sdtsldt0(xm,xl)) = sdtasdt0(X0,xm) ),
inference(light_normalisation,[status(thm)],[c_3145,c_113]) ).
cnf(c_4137,plain,
sdtasdt0(sdtasdt0(xn,xl),sdtsldt0(xm,xl)) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_110,c_4128]) ).
cnf(c_8596,plain,
sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(xm,xn),
inference(light_normalisation,[status(thm)],[c_4137,c_2873,c_2874,c_4003]) ).
cnf(c_8597,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8596,c_2878]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM478+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 19:19:41 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.36/1.25 % SZS status Started for theBenchmark.p
% 4.36/1.25 % SZS status Theorem for theBenchmark.p
% 4.36/1.25
% 4.36/1.25 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.36/1.25
% 4.36/1.25 ------ iProver source info
% 4.36/1.25
% 4.36/1.25 git: date: 2024-05-02 19:28:25 +0000
% 4.36/1.25 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.36/1.25 git: non_committed_changes: false
% 4.36/1.25
% 4.36/1.25 ------ Parsing...
% 4.36/1.25 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.36/1.25
% 4.36/1.25 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 4.36/1.25
% 4.36/1.25 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.36/1.25
% 4.36/1.25 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.36/1.25 ------ Proving...
% 4.36/1.25 ------ Problem Properties
% 4.36/1.25
% 4.36/1.25
% 4.36/1.25 clauses 61
% 4.36/1.25 conjectures 4
% 4.36/1.25 EPR 16
% 4.36/1.25 Horn 47
% 4.36/1.25 unary 14
% 4.36/1.25 binary 7
% 4.36/1.25 lits 210
% 4.36/1.25 lits eq 55
% 4.36/1.25 fd_pure 0
% 4.36/1.25 fd_pseudo 0
% 4.36/1.25 fd_cond 7
% 4.36/1.25 fd_pseudo_cond 9
% 4.36/1.25 AC symbols 0
% 4.36/1.25
% 4.36/1.25 ------ Input Options Time Limit: Unbounded
% 4.36/1.25
% 4.36/1.25
% 4.36/1.25 ------
% 4.36/1.25 Current options:
% 4.36/1.25 ------
% 4.36/1.25
% 4.36/1.25
% 4.36/1.25
% 4.36/1.25
% 4.36/1.25 ------ Proving...
% 4.36/1.25
% 4.36/1.25
% 4.36/1.25 % SZS status Theorem for theBenchmark.p
% 4.36/1.25
% 4.36/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.36/1.25
% 4.36/1.25
%------------------------------------------------------------------------------