TSTP Solution File: GRP665-12 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP665-12 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n011.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 00:22:55 EDT 2023
% Result : Unsatisfiable 0.21s 0.58s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% 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 : 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 : 14 ( 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,
x0: $i ).
tff(decl_28,type,
x1: $i ).
cnf(goal,negated_conjecture,
mult(mult(x0,x1),op_c) != mult(x0,mult(x1,op_c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(f09,axiom,
mult(op_c,X1) = mult(X1,op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f09) ).
cnf(f07,axiom,
mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
cnf(f04,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(c_0_4,negated_conjecture,
mult(mult(x0,x1),op_c) != mult(x0,mult(x1,op_c)),
goal ).
cnf(c_0_5,axiom,
mult(op_c,X1) = mult(X1,op_c),
f09 ).
cnf(c_0_6,axiom,
mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)),
f07 ).
cnf(c_0_7,axiom,
rd(mult(X1,X2),X2) = X1,
f04 ).
cnf(c_0_8,negated_conjecture,
mult(x0,mult(op_c,x1)) != mult(op_c,mult(x0,x1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_5]) ).
cnf(c_0_9,plain,
mult(X1,mult(op_c,X2)) = mult(op_c,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_5]),c_0_7]) ).
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
% 0.11/0.12 % Problem : GRP665-12 : TPTP v8.1.2. Released v8.1.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.21/0.34 % CPULimit : 300
% 0.21/0.34 % WCLimit : 300
% 0.21/0.34 % DateTime : Mon Aug 28 22:48:11 EDT 2023
% 0.21/0.34 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.21/0.58 % Version : CSE_E---1.5
% 0.21/0.58 % Problem : theBenchmark.p
% 0.21/0.58 % Proof found
% 0.21/0.58 % SZS status Theorem for theBenchmark.p
% 0.21/0.58 % SZS output start Proof
% See solution above
% 0.21/0.58 % Total time : 0.005000 s
% 0.21/0.58 % SZS output end Proof
% 0.21/0.58 % Total time : 0.008000 s
%------------------------------------------------------------------------------