TSTP Solution File: GRP203-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP203-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 00:17:43 EDT 2023
% Result : Unsatisfiable 0.19s 0.66s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 38 unt; 6 typ; 0 def)
% Number of atoms : 38 ( 37 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 : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
identity: $i ).
tff(decl_23,type,
multiply: ( $i * $i ) > $i ).
tff(decl_24,type,
left_inverse: $i > $i ).
tff(decl_25,type,
a: $i ).
tff(decl_26,type,
b: $i ).
tff(decl_27,type,
c: $i ).
cnf(moufang3,axiom,
multiply(multiply(multiply(X1,X2),X1),X3) = multiply(X1,multiply(X2,multiply(X1,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',moufang3) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
cnf(left_inverse,axiom,
multiply(left_inverse(X1),X1) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
cnf(prove_moufang2,negated_conjecture,
multiply(multiply(multiply(a,b),c),b) != multiply(a,multiply(b,multiply(c,b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_moufang2) ).
cnf(c_0_4,axiom,
multiply(multiply(multiply(X1,X2),X1),X3) = multiply(X1,multiply(X2,multiply(X1,X3))),
moufang3 ).
cnf(c_0_5,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_6,plain,
multiply(multiply(X1,identity),X2) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_5]),c_0_5]) ).
cnf(c_0_7,axiom,
multiply(left_inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_8,plain,
multiply(multiply(X1,X1),X2) = multiply(X1,multiply(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_6]),c_0_5]) ).
cnf(c_0_9,plain,
multiply(left_inverse(X1),multiply(X1,multiply(left_inverse(X1),X2))) = multiply(left_inverse(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_7]),c_0_5]) ).
cnf(c_0_10,plain,
multiply(multiply(X1,multiply(X2,multiply(X1,identity))),X3) = multiply(X1,multiply(X2,multiply(X1,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_4]),c_0_4]) ).
cnf(c_0_11,plain,
multiply(multiply(X1,multiply(X1,identity)),X2) = multiply(X1,multiply(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_8]),c_0_8]) ).
cnf(c_0_12,plain,
multiply(left_inverse(X1),multiply(X1,identity)) = identity,
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_13,plain,
multiply(multiply(X1,multiply(X2,multiply(X2,multiply(X1,identity)))),X3) = multiply(X1,multiply(X2,multiply(X2,multiply(X1,X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_11]) ).
cnf(c_0_14,plain,
multiply(X1,multiply(left_inverse(X1),multiply(X1,X2))) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_12]),c_0_6]) ).
cnf(c_0_15,plain,
multiply(X1,multiply(left_inverse(X1),multiply(left_inverse(X1),multiply(X1,X2)))) = multiply(multiply(X1,multiply(left_inverse(X1),identity)),X2),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_16,plain,
multiply(left_inverse(X1),multiply(left_inverse(left_inverse(X1)),identity)) = identity,
inference(spm,[status(thm)],[c_0_14,c_0_12]) ).
cnf(c_0_17,plain,
multiply(left_inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_15]),c_0_16]),c_0_5]),c_0_16]),c_0_5]) ).
cnf(c_0_18,plain,
multiply(left_inverse(left_inverse(X1)),identity) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_7]) ).
cnf(c_0_19,plain,
multiply(left_inverse(left_inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_17,c_0_17]) ).
cnf(c_0_20,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
multiply(multiply(multiply(X1,X2),multiply(X1,identity)),X3) = multiply(X1,multiply(X2,multiply(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_6]),c_0_6]),c_0_6]) ).
cnf(c_0_22,plain,
left_inverse(left_inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_20]) ).
cnf(c_0_23,plain,
multiply(multiply(X1,X2),X1) = multiply(X1,multiply(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_20]),c_0_20]),c_0_20]) ).
cnf(c_0_24,plain,
multiply(X1,multiply(left_inverse(X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_17,c_0_22]) ).
cnf(c_0_25,plain,
multiply(X1,multiply(multiply(X2,multiply(X1,identity)),multiply(X1,X3))) = multiply(multiply(X1,multiply(X2,multiply(X1,X1))),X3),
inference(spm,[status(thm)],[c_0_4,c_0_10]) ).
cnf(c_0_26,plain,
multiply(X1,multiply(multiply(left_inverse(X1),X2),X1)) = multiply(X2,X1),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
multiply(X1,multiply(multiply(X2,X1),X1)) = multiply(X1,multiply(X2,multiply(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_20]),c_0_20]),c_0_20]) ).
cnf(c_0_28,plain,
multiply(multiply(X1,left_inverse(X2)),X2) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_10]),c_0_7]),c_0_20]),c_0_24]),c_0_20]) ).
cnf(c_0_29,plain,
multiply(multiply(X1,X2),X2) = multiply(X1,multiply(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_27]),c_0_17]) ).
cnf(c_0_30,plain,
multiply(multiply(X1,multiply(X2,X1)),X3) = multiply(X1,multiply(X2,multiply(X1,X3))),
inference(spm,[status(thm)],[c_0_10,c_0_20]) ).
cnf(c_0_31,plain,
multiply(multiply(X1,multiply(X1,left_inverse(X2))),X2) = multiply(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_11]),c_0_20]) ).
cnf(c_0_32,plain,
multiply(X1,multiply(multiply(left_inverse(X1),X2),multiply(X1,X3))) = multiply(multiply(X2,X1),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_24]),c_0_20]) ).
cnf(c_0_33,plain,
multiply(multiply(X1,multiply(X2,multiply(X1,X3))),X3) = multiply(X1,multiply(X2,multiply(X1,multiply(X3,X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_21]),c_0_20]),c_0_23]),c_0_30]) ).
cnf(c_0_34,plain,
multiply(multiply(X1,X2),multiply(X1,X2)) = multiply(X1,multiply(X2,multiply(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_28]),c_0_22]),c_0_23]),c_0_30]),c_0_22]),c_0_22]) ).
cnf(c_0_35,negated_conjecture,
multiply(multiply(multiply(a,b),c),b) != multiply(a,multiply(b,multiply(c,b))),
prove_moufang2 ).
cnf(c_0_36,plain,
multiply(multiply(multiply(X1,X2),X3),X2) = multiply(X1,multiply(X2,multiply(X3,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_17]),c_0_24]),c_0_17]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP203-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 02:11:28 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.53 start to proof: theBenchmark
% 0.19/0.66 % Version : CSE_E---1.5
% 0.19/0.66 % Problem : theBenchmark.p
% 0.19/0.66 % Proof found
% 0.19/0.66 % SZS status Theorem for theBenchmark.p
% 0.19/0.66 % SZS output start Proof
% See solution above
% 0.19/0.66 % Total time : 0.123000 s
% 0.19/0.66 % SZS output end Proof
% 0.19/0.66 % Total time : 0.125000 s
%------------------------------------------------------------------------------