TSTP Solution File: GRP001-4 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP001-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n016.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 00:13:31 EDT 2023
% Result : Unsatisfiable 0.53s 0.60s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 17 unt; 5 typ; 0 def)
% Number of atoms : 17 ( 16 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 : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
multiply: ( $i * $i ) > $i ).
tff(decl_23,type,
identity: $i ).
tff(decl_24,type,
a: $i ).
tff(decl_25,type,
b: $i ).
tff(decl_26,type,
c: $i ).
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
cnf(squareness,hypothesis,
multiply(X1,X1) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',squareness) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
cnf(a_times_b_is_c,hypothesis,
multiply(a,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(prove_b_times_a_is_c,negated_conjecture,
multiply(b,a) != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).
cnf(c_0_5,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_6,hypothesis,
multiply(X1,X1) = identity,
squareness ).
cnf(c_0_7,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_8,hypothesis,
multiply(X1,multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
cnf(c_0_9,hypothesis,
multiply(a,b) = c,
a_times_b_is_c ).
cnf(c_0_10,hypothesis,
multiply(a,c) = b,
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,hypothesis,
multiply(a,multiply(c,X1)) = multiply(b,X1),
inference(spm,[status(thm)],[c_0_5,c_0_10]) ).
cnf(c_0_12,hypothesis,
multiply(b,c) = multiply(a,identity),
inference(spm,[status(thm)],[c_0_11,c_0_6]) ).
cnf(c_0_13,hypothesis,
multiply(X1,identity) = X1,
inference(spm,[status(thm)],[c_0_8,c_0_6]) ).
cnf(c_0_14,hypothesis,
multiply(b,c) = a,
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
multiply(b,a) != c,
prove_b_times_a_is_c ).
cnf(c_0_16,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_14]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP001-4 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n016.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 01:31:30 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.53/0.58 start to proof: theBenchmark
% 0.53/0.60 % Version : CSE_E---1.5
% 0.53/0.60 % Problem : theBenchmark.p
% 0.53/0.60 % Proof found
% 0.53/0.60 % SZS status Theorem for theBenchmark.p
% 0.53/0.60 % SZS output start Proof
% See solution above
% 0.53/0.60 % Total time : 0.004000 s
% 0.53/0.60 % SZS output end Proof
% 0.53/0.60 % Total time : 0.006000 s
%------------------------------------------------------------------------------