TSTP Solution File: GRP709-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP709-1 : 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 : n031.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 00:23:17 EDT 2023
% Result : Unsatisfiable 0.18s 0.62s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of formulae : 23 ( 16 unt; 7 typ; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ld: ( $i * $i ) > $i ).
tff(decl_23,type,
mult: ( $i * $i ) > $i ).
tff(decl_24,type,
rd: ( $i * $i ) > $i ).
tff(decl_25,type,
unit: $i ).
tff(decl_26,type,
op_c: $i ).
tff(decl_27,type,
a: $i ).
tff(decl_28,type,
b: $i ).
cnf(c07,axiom,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(X1,mult(X2,X1)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
cnf(c06,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c09,axiom,
mult(X1,mult(X2,op_c)) = mult(mult(X1,X2),op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
cnf(c08,axiom,
mult(op_c,X1) = mult(X1,op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
cnf(goals,negated_conjecture,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(mult(op_c,op_c),a),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c_0_5,axiom,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(X1,mult(X2,X1)),X3),
c07 ).
cnf(c_0_6,axiom,
mult(unit,X1) = X1,
c06 ).
cnf(c_0_7,axiom,
mult(X1,mult(X2,op_c)) = mult(mult(X1,X2),op_c),
c09 ).
cnf(c_0_8,axiom,
mult(op_c,X1) = mult(X1,op_c),
c08 ).
cnf(c_0_9,negated_conjecture,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(mult(op_c,op_c),a),b),
goals ).
cnf(c_0_10,plain,
mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_6]) ).
cnf(c_0_11,plain,
mult(op_c,mult(X1,X2)) = mult(X1,mult(X2,op_c)),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
mult(mult(op_c,mult(op_c,a)),b) != mult(op_c,mult(op_c,mult(a,b))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]) ).
cnf(c_0_13,plain,
mult(mult(op_c,mult(op_c,X1)),X2) = mult(op_c,mult(X1,mult(op_c,X2))),
inference(spm,[status(thm)],[c_0_5,c_0_8]) ).
cnf(c_0_14,plain,
mult(op_c,mult(X1,X2)) = mult(X1,mult(op_c,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_8]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP709-1 : 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 : n031.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 : Mon Aug 28 23:55:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.59 start to proof: theBenchmark
% 0.18/0.62 % Version : CSE_E---1.5
% 0.18/0.62 % Problem : theBenchmark.p
% 0.18/0.62 % Proof found
% 0.18/0.62 % SZS status Theorem for theBenchmark.p
% 0.18/0.62 % SZS output start Proof
% See solution above
% 0.18/0.62 % Total time : 0.019000 s
% 0.18/0.62 % SZS output end Proof
% 0.18/0.62 % Total time : 0.022000 s
%------------------------------------------------------------------------------