TSTP Solution File: GRP703-10 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP703-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 00:23:14 EDT 2023
% Result : Unsatisfiable 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 16
% Syntax : Number of formulae : 24 ( 14 unt; 10 typ; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 5 ( 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 16 ( 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,
op_d: $i ).
tff(decl_28,type,
op_e: $i ).
tff(decl_29,type,
op_f: $i ).
tff(decl_30,type,
x2: $i ).
tff(decl_31,type,
x3: $i ).
cnf(f05,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(f12,axiom,
op_e = mult(mult(rd(op_c,mult(X1,X2)),X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f12) ).
cnf(f06,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
cnf(f03,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
cnf(goal,negated_conjecture,
mult(op_e,mult(x2,x3)) != mult(mult(op_e,x2),x3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(f08,axiom,
mult(op_c,mult(X1,X2)) = mult(mult(op_c,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
cnf(c_0_6,axiom,
mult(X1,unit) = X1,
f05 ).
cnf(c_0_7,axiom,
op_e = mult(mult(rd(op_c,mult(X1,X2)),X2),X1),
f12 ).
cnf(c_0_8,axiom,
mult(unit,X1) = X1,
f06 ).
cnf(c_0_9,axiom,
mult(rd(X1,X2),X2) = X1,
f03 ).
cnf(c_0_10,negated_conjecture,
mult(op_e,mult(x2,x3)) != mult(mult(op_e,x2),x3),
goal ).
cnf(c_0_11,plain,
op_e = op_c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9]) ).
cnf(c_0_12,axiom,
mult(op_c,mult(X1,X2)) = mult(mult(op_c,X1),X2),
f08 ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP703-10 : TPTP v8.1.2. Released v8.1.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 02:28:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.005000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.007000 s
%------------------------------------------------------------------------------