TSTP Solution File: RNG128-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : RNG128-1 : TPTP v8.1.2. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n010.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 13:49:21 EDT 2023
% Result : Unsatisfiable 0.20s 0.57s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 39 ( 33 unt; 6 typ; 0 def)
% Number of atoms : 33 ( 32 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 : 4 ( 2 >; 2 *; 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 : 45 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
add: ( $i * $i ) > $i ).
tff(decl_23,type,
mult: ( $i * $i ) > $i ).
tff(decl_24,type,
zero: $i ).
tff(decl_25,type,
unit: $i ).
tff(decl_26,type,
x0: $i ).
tff(decl_27,type,
x1: $i ).
cnf(sos_006,axiom,
add(unit,add(X1,mult(X1,X1))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_006) ).
cnf(sos_004,axiom,
add(zero,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_004) ).
cnf(sos,axiom,
add(X1,add(X2,X3)) = add(add(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
cnf(sos_003,axiom,
mult(X1,add(X2,X3)) = add(mult(X1,X2),mult(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_003) ).
cnf(sos_001,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_001) ).
cnf(sos_005,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_005) ).
cnf(sos_002,axiom,
mult(X1,X2) = mult(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_002) ).
cnf(goals,negated_conjecture,
add(x0,x1) != mult(x0,x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(c_0_8,axiom,
add(unit,add(X1,mult(X1,X1))) = X1,
sos_006 ).
cnf(c_0_9,axiom,
add(zero,X1) = X1,
sos_004 ).
cnf(c_0_10,axiom,
add(X1,add(X2,X3)) = add(add(X1,X2),X3),
sos ).
cnf(c_0_11,plain,
add(unit,mult(zero,zero)) = zero,
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
add(unit,add(mult(zero,zero),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_9]) ).
cnf(c_0_13,axiom,
mult(X1,add(X2,X3)) = add(mult(X1,X2),mult(X1,X3)),
sos_003 ).
cnf(c_0_14,axiom,
add(X1,X2) = add(X2,X1),
sos_001 ).
cnf(c_0_15,plain,
add(unit,mult(zero,X1)) = mult(zero,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_9]) ).
cnf(c_0_16,axiom,
mult(X1,unit) = X1,
sos_005 ).
cnf(c_0_17,plain,
add(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_18,plain,
add(unit,add(X1,add(X2,mult(add(X1,X2),add(X1,X2))))) = add(X1,X2),
inference(spm,[status(thm)],[c_0_8,c_0_10]) ).
cnf(c_0_19,plain,
mult(zero,zero) = zero,
inference(rw,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_20,plain,
zero = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_21,plain,
add(unit,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_12]),c_0_19]),c_0_9]),c_0_8]) ).
cnf(c_0_22,plain,
add(X1,unit) = X1,
inference(rw,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_23,plain,
add(X1,mult(X1,X1)) = X1,
inference(rw,[status(thm)],[c_0_8,c_0_21]) ).
cnf(c_0_24,plain,
add(X1,mult(X1,X2)) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_16]),c_0_14]),c_0_22]) ).
cnf(c_0_25,plain,
mult(X1,X1) = X1,
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,plain,
mult(X1,add(X2,X1)) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_25]),c_0_14]),c_0_24]) ).
cnf(c_0_27,plain,
add(X1,add(mult(X1,X1),X2)) = add(X1,X2),
inference(spm,[status(thm)],[c_0_10,c_0_23]) ).
cnf(c_0_28,axiom,
mult(X1,X2) = mult(X2,X1),
sos_002 ).
cnf(c_0_29,plain,
mult(X1,add(X1,X2)) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_25]),c_0_24]) ).
cnf(c_0_30,negated_conjecture,
add(x0,x1) != mult(x0,x1),
goals ).
cnf(c_0_31,plain,
mult(X1,X2) = add(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_26,c_0_27]),c_0_25]),c_0_25]),c_0_25]),c_0_28]),c_0_29]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG128-1 : TPTP v8.1.2. Released v5.4.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 01:49:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 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
% 0.20/0.58 % Total time : 0.010000 s
% 0.20/0.58 % SZS output end Proof
% 0.20/0.58 % Total time : 0.012000 s
%------------------------------------------------------------------------------