TSTP Solution File: SWV541-1.004 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV541-1.004 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n029.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 : Thu Aug 31 21:44:57 EDT 2023
% Result : Unsatisfiable 0.54s 0.59s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 18 ( 11 unt; 7 typ; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 19 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
store: ( $i * $i * $i ) > $i ).
tff(decl_23,type,
select: ( $i * $i ) > $i ).
tff(decl_24,type,
a1: $i ).
tff(decl_25,type,
i1: $i ).
tff(decl_26,type,
i0: $i ).
tff(decl_27,type,
i3: $i ).
tff(decl_28,type,
i2: $i ).
cnf(goal,negated_conjecture,
store(store(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3)),i2,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3)),i0)),i0,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3)),i2)) != store(store(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3)),i0,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3)),i2)),i2,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3)),i0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(a1,axiom,
select(store(X1,X2,X3),X2) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
cnf(a3,axiom,
store(store(X1,X2,select(X1,X3)),X3,select(X1,X2)) = store(store(X1,X3,select(X1,X2)),X2,select(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
cnf(c_0_3,negated_conjecture,
store(store(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3)),i2,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3)),i0)),i0,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3)),i2)) != store(store(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3)),i0,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3)),i2)),i2,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3)),i0)),
goal ).
cnf(c_0_4,axiom,
select(store(X1,X2,X3),X2) = X3,
a1 ).
cnf(c_0_5,axiom,
store(store(X1,X2,select(X1,X3)),X3,select(X1,X2)) = store(store(X1,X3,select(X1,X2)),X2,select(X1,X3)),
a3 ).
cnf(c_0_6,negated_conjecture,
store(store(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3)),i0,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3)),i2,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3)),i0)) != store(store(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i2)),i2,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i2,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i2)),i2,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4]),c_0_4]),c_0_4]),c_0_4]),c_0_4]) ).
cnf(c_0_7,plain,
select(store(store(X1,X2,select(X1,X3)),X3,select(X1,X2)),X2) = select(X1,X3),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
store(store(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i2)),i2,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i2,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i2)),i2,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)) != store(store(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i2)),i2,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i2,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i2)),i2,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7]),c_0_7]),c_0_5]),c_0_5]),c_0_5]),c_0_5]) ).
cnf(c_0_9,plain,
store(store(store(X1,X2,X3),X2,select(store(X1,X2,X3),X4)),X4,X3) = store(store(store(X1,X2,X3),X4,X3),X2,select(store(X1,X2,X3),X4)),
inference(spm,[status(thm)],[c_0_5,c_0_4]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : SWV541-1.004 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 09:14:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.53/0.57 start to proof: theBenchmark
% 0.54/0.59 % Version : CSE_E---1.5
% 0.54/0.59 % Problem : theBenchmark.p
% 0.54/0.59 % Proof found
% 0.54/0.59 % SZS status Theorem for theBenchmark.p
% 0.54/0.59 % SZS output start Proof
% See solution above
% 0.54/0.60 % Total time : 0.012000 s
% 0.54/0.60 % SZS output end Proof
% 0.54/0.60 % Total time : 0.016000 s
%------------------------------------------------------------------------------