TSTP Solution File: GRP684-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP684-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n022.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 00:23:03 EDT 2023
% Result : Unsatisfiable 0.20s 0.65s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 60 ( 54 unt; 6 typ; 0 def)
% Number of atoms : 54 ( 53 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 : 6 ( 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 116 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
mult: ( $i * $i ) > $i ).
tff(decl_23,type,
ld: ( $i * $i ) > $i ).
tff(decl_24,type,
rd: ( $i * $i ) > $i ).
tff(decl_25,type,
a: $i ).
tff(decl_26,type,
b: $i ).
tff(decl_27,type,
c: $i ).
cnf(c02,axiom,
rd(mult(X1,X1),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c04,axiom,
mult(rd(X1,X2),X2) = rd(mult(X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
cnf(c07,axiom,
ld(X1,mult(X1,ld(X2,X2))) = rd(mult(rd(X1,X1),X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
cnf(c06,axiom,
rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = mult(X1,rd(mult(X2,X4),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c03,axiom,
mult(X1,ld(X1,X2)) = ld(X1,mult(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
cnf(c01,axiom,
ld(X1,mult(X1,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
cnf(c05,axiom,
ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4))) = mult(ld(X1,mult(X1,X3)),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
cnf(goals,negated_conjecture,
rd(mult(a,mult(b,c)),mult(b,c)) != rd(mult(a,c),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c_0_8,axiom,
rd(mult(X1,X1),X1) = X1,
c02 ).
cnf(c_0_9,axiom,
mult(rd(X1,X2),X2) = rd(mult(X1,X2),X2),
c04 ).
cnf(c_0_10,axiom,
ld(X1,mult(X1,ld(X2,X2))) = rd(mult(rd(X1,X1),X2),X2),
c07 ).
cnf(c_0_11,axiom,
rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = mult(X1,rd(mult(X2,X4),X4)),
c06 ).
cnf(c_0_12,plain,
mult(rd(X1,X1),X1) = X1,
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
mult(rd(rd(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))),
inference(rw,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_14,axiom,
mult(X1,ld(X1,X2)) = ld(X1,mult(X1,X2)),
c03 ).
cnf(c_0_15,axiom,
ld(X1,mult(X1,X1)) = X1,
c01 ).
cnf(c_0_16,axiom,
ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4))) = mult(ld(X1,mult(X1,X3)),X4),
c05 ).
cnf(c_0_17,plain,
mult(rd(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = mult(X1,mult(rd(X2,X4),X4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_9]),c_0_9]) ).
cnf(c_0_18,plain,
rd(X1,X1) = ld(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_12]),c_0_13]),c_0_14]),c_0_15]) ).
cnf(c_0_19,plain,
mult(ld(X1,mult(X1,X2)),X3) = ld(X1,mult(X1,mult(X2,X3))),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_20,plain,
mult(rd(mult(X1,X2),mult(rd(X3,X4),X4)),mult(rd(X3,X4),X4)) = mult(X1,mult(rd(X2,X4),X4)),
inference(spm,[status(thm)],[c_0_17,c_0_9]) ).
cnf(c_0_21,plain,
mult(ld(X1,X1),X1) = X1,
inference(rw,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_22,plain,
ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4))) = ld(X1,mult(X1,mult(X3,X4))),
inference(rw,[status(thm)],[c_0_16,c_0_19]) ).
cnf(c_0_23,plain,
rd(ld(X1,mult(X1,mult(X2,X3))),X3) = mult(rd(ld(X1,mult(X1,X2)),X3),X3),
inference(spm,[status(thm)],[c_0_9,c_0_19]) ).
cnf(c_0_24,plain,
mult(rd(mult(X1,X2),X3),X3) = mult(X1,mult(rd(X2,X3),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_18]),c_0_21]),c_0_21]) ).
cnf(c_0_25,plain,
ld(ld(X1,X2),mult(ld(X1,X2),X3)) = ld(X1,mult(X1,X3)),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_26,plain,
ld(X1,mult(X1,mult(X1,X2))) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_27,plain,
mult(rd(ld(mult(X1,X2),mult(mult(X1,X2),X1)),X2),X2) = mult(rd(X1,X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_15]),c_0_9]) ).
cnf(c_0_28,plain,
mult(mult(rd(X1,X2),X2),X2) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_9]),c_0_18]),c_0_21]) ).
cnf(c_0_29,plain,
ld(mult(X1,X2),mult(mult(X1,X2),X3)) = ld(X1,mult(X1,X3)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
mult(mult(rd(X1,rd(X2,X3)),rd(X2,X3)),rd(X2,X3)) = mult(X1,mult(rd(rd(X2,X3),X3),X3)),
inference(spm,[status(thm)],[c_0_17,c_0_9]) ).
cnf(c_0_31,plain,
ld(X1,mult(X1,mult(rd(X1,X2),X2))) = mult(rd(X1,X2),X2),
inference(rw,[status(thm)],[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_27,c_0_28]),c_0_29]),c_0_23]),c_0_28]),c_0_19]),c_0_9]),c_0_28]) ).
cnf(c_0_32,plain,
mult(X1,mult(rd(rd(X2,X3),X3),X3)) = mult(X1,rd(X2,X3)),
inference(rw,[status(thm)],[c_0_30,c_0_28]) ).
cnf(c_0_33,plain,
rd(ld(X1,mult(X1,X2)),ld(X1,X2)) = mult(rd(X1,ld(X1,X2)),ld(X1,X2)),
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_34,plain,
mult(rd(rd(X1,X2),X2),X2) = rd(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_15]) ).
cnf(c_0_35,plain,
mult(rd(X1,ld(X1,X1)),ld(X1,X1)) = rd(X1,ld(X1,X1)),
inference(spm,[status(thm)],[c_0_33,c_0_15]) ).
cnf(c_0_36,plain,
mult(rd(rd(X1,X2),X2),mult(rd(X2,X3),X3)) = mult(rd(rd(X1,X2),X3),X3),
inference(spm,[status(thm)],[c_0_24,c_0_34]) ).
cnf(c_0_37,plain,
rd(X1,ld(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_35]),c_0_35]),c_0_14]),c_0_15]) ).
cnf(c_0_38,plain,
mult(rd(ld(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_39,plain,
mult(rd(X1,X2),X2) = mult(X1,ld(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_37]),c_0_38]),c_0_14]),c_0_26]) ).
cnf(c_0_40,plain,
mult(rd(X1,X2),ld(X2,X2)) = rd(X1,X2),
inference(rw,[status(thm)],[c_0_34,c_0_39]) ).
cnf(c_0_41,plain,
mult(ld(X1,X1),X2) = ld(X1,mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_13]),c_0_19]),c_0_21]),c_0_18]) ).
cnf(c_0_42,plain,
ld(rd(X1,X2),mult(rd(X1,X2),X3)) = ld(X1,mult(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_28]),c_0_29]),c_0_29]) ).
cnf(c_0_43,plain,
ld(X1,mult(X1,ld(X2,mult(X2,X3)))) = ld(X1,mult(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_40]),c_0_41]),c_0_42]),c_0_41]),c_0_42]) ).
cnf(c_0_44,plain,
mult(X1,mult(rd(X2,mult(X1,X2)),mult(X1,X2))) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_18]),c_0_21]) ).
cnf(c_0_45,plain,
mult(X1,ld(X2,mult(X2,X3))) = mult(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_43]),c_0_14]),c_0_26]),c_0_26]) ).
cnf(c_0_46,plain,
mult(X1,mult(X2,ld(mult(X1,X2),mult(X1,X2)))) = mult(X1,X2),
inference(rw,[status(thm)],[c_0_44,c_0_39]) ).
cnf(c_0_47,negated_conjecture,
rd(mult(a,mult(b,c)),mult(b,c)) != rd(mult(a,c),c),
goals ).
cnf(c_0_48,plain,
mult(X1,mult(X2,ld(mult(X3,X2),mult(X3,X2)))) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_45]) ).
cnf(c_0_49,negated_conjecture,
mult(rd(a,mult(b,c)),mult(b,c)) != mult(rd(a,c),c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_9]),c_0_9]) ).
cnf(c_0_50,plain,
mult(X1,ld(mult(X2,X1),mult(X2,X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_48]),c_0_29]),c_0_15]) ).
cnf(c_0_51,negated_conjecture,
mult(a,ld(mult(b,c),mult(b,c))) != mult(a,ld(c,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_39]),c_0_39]) ).
cnf(c_0_52,plain,
mult(X1,ld(mult(X2,X3),mult(X2,X3))) = mult(X1,ld(X3,X3)),
inference(spm,[status(thm)],[c_0_45,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP684-1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n022.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 : Mon Aug 28 21:12:54 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.65 % Version : CSE_E---1.5
% 0.20/0.65 % Problem : theBenchmark.p
% 0.20/0.65 % Proof found
% 0.20/0.65 % SZS status Theorem for theBenchmark.p
% 0.20/0.65 % SZS output start Proof
% See solution above
% 0.20/0.66 % Total time : 0.085000 s
% 0.20/0.66 % SZS output end Proof
% 0.20/0.66 % Total time : 0.088000 s
%------------------------------------------------------------------------------