TSTP Solution File: GRP710-11 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP710-11 : 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 : n013.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 0.20s 0.57s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 45 ( 40 unt; 5 typ; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 7 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 65 ( 4 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
unit: $i ).
tff(decl_23,type,
mult: ( $i * $i ) > $i ).
tff(decl_24,type,
i: $i > $i ).
tff(decl_25,type,
x4: $i ).
tff(decl_26,type,
x3: $i ).
cnf(f01,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
cnf(f03,axiom,
mult(X1,mult(X2,mult(X2,X3))) = mult(mult(mult(X1,X2),X2),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
cnf(f05,axiom,
mult(i(X1),X1) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(f02,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
cnf(f04,axiom,
mult(X1,i(X1)) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
cnf(goal,negated_conjecture,
mult(X1,x4) != x3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c_0_6,axiom,
mult(X1,unit) = X1,
f01 ).
cnf(c_0_7,axiom,
mult(X1,mult(X2,mult(X2,X3))) = mult(mult(mult(X1,X2),X2),X3),
f03 ).
cnf(c_0_8,plain,
mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_6]) ).
cnf(c_0_9,axiom,
mult(i(X1),X1) = unit,
f05 ).
cnf(c_0_10,axiom,
mult(unit,X1) = X1,
f02 ).
cnf(c_0_11,plain,
mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
mult(i(X1),mult(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_13,plain,
mult(i(X1),mult(X1,mult(X1,X2))) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
mult(i(mult(X1,X1)),mult(X1,mult(X1,X2))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_9]),c_0_10]) ).
cnf(c_0_15,plain,
i(i(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_12]),c_0_9]),c_0_6]) ).
cnf(c_0_16,plain,
mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_10]),c_0_10]) ).
cnf(c_0_17,plain,
mult(X1,mult(X1,mult(i(mult(X1,X1)),X2))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16]) ).
cnf(c_0_18,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_19,axiom,
mult(X1,i(X1)) = unit,
f04 ).
cnf(c_0_20,plain,
mult(X1,mult(i(X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_21,plain,
mult(X1,mult(X2,mult(X2,i(mult(X1,mult(X2,X2)))))) = unit,
inference(spm,[status(thm)],[c_0_19,c_0_11]) ).
cnf(c_0_22,plain,
mult(i(mult(X1,X1)),mult(X1,X2)) = mult(i(X1),X2),
inference(spm,[status(thm)],[c_0_14,c_0_20]) ).
cnf(c_0_23,plain,
mult(X1,mult(X1,i(mult(X2,mult(X1,X1))))) = i(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_21]),c_0_6]) ).
cnf(c_0_24,plain,
mult(i(mult(X1,X1)),i(X2)) = i(mult(X2,mult(X1,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_18]) ).
cnf(c_0_25,plain,
i(mult(i(X1),mult(X2,X2))) = mult(i(mult(X2,X2)),X1),
inference(spm,[status(thm)],[c_0_24,c_0_15]) ).
cnf(c_0_26,plain,
mult(X1,mult(i(X1),i(X1))) = i(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_19]),c_0_10]) ).
cnf(c_0_27,plain,
i(mult(i(mult(X1,X1)),X2)) = mult(i(X2),mult(X1,X1)),
inference(spm,[status(thm)],[c_0_15,c_0_25]) ).
cnf(c_0_28,plain,
mult(i(X1),i(X1)) = i(mult(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_26]),c_0_19]),c_0_6]) ).
cnf(c_0_29,plain,
mult(i(X1),i(mult(X2,X2))) = i(mult(X2,mult(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_15]),c_0_16]) ).
cnf(c_0_30,plain,
mult(X1,i(mult(X2,mult(X2,X1)))) = i(mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_29]),c_0_15]) ).
cnf(c_0_31,plain,
mult(i(mult(X1,mult(X2,X2))),X1) = i(mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_23]),c_0_15]) ).
cnf(c_0_32,plain,
i(mult(X1,i(mult(X2,X2)))) = mult(X2,mult(X2,i(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_28]),c_0_15]),c_0_16]) ).
cnf(c_0_33,negated_conjecture,
mult(X1,x4) != x3,
goal ).
cnf(c_0_34,plain,
mult(mult(X1,mult(X1,i(X2))),X2) = mult(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_28]),c_0_32]),c_0_15]) ).
cnf(c_0_35,plain,
i(mult(X1,mult(X1,i(X2)))) = mult(X2,i(mult(X1,X1))),
inference(spm,[status(thm)],[c_0_15,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
mult(X1,mult(x4,x4)) != x3,
inference(spm,[status(thm)],[c_0_33,c_0_8]) ).
cnf(c_0_37,plain,
mult(mult(X1,i(mult(X2,X2))),mult(X2,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_34]),c_0_35]) ).
cnf(c_0_38,negated_conjecture,
X1 != x3,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(er,[status(thm)],[c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP710-11 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 20:50:01 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.54 start to proof: theBenchmark
% 0.20/0.57 % Version : CSE_E---1.5
% 0.20/0.57 % Problem : theBenchmark.p
% 0.20/0.57 % Proof found
% 0.20/0.57 % SZS status Theorem for theBenchmark.p
% 0.20/0.57 % SZS output start Proof
% See solution above
% 0.20/0.57 % Total time : 0.021000 s
% 0.20/0.57 % SZS output end Proof
% 0.20/0.57 % Total time : 0.023000 s
%------------------------------------------------------------------------------