TSTP Solution File: ROB022-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ROB022-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 14:07:30 EDT 2023
% Result : Unsatisfiable 1.20s 1.26s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 50 unt; 5 typ; 0 def)
% Number of atoms : 50 ( 49 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 : 9 ( 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 : 61 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
add: ( $i * $i ) > $i ).
tff(decl_23,type,
negate: $i > $i ).
tff(decl_24,type,
c: $i ).
tff(decl_25,type,
a: $i ).
tff(decl_26,type,
b: $i ).
cnf(robbins_axiom,axiom,
negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',robbins_axiom) ).
cnf(commutativity_of_add,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',commutativity_of_add) ).
cnf(condition,hypothesis,
add(c,negate(c)) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).
cnf(associativity_of_add,axiom,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',associativity_of_add) ).
cnf(prove_huntingtons_axiom,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_huntingtons_axiom) ).
cnf(c_0_5,axiom,
negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
robbins_axiom ).
cnf(c_0_6,axiom,
add(X1,X2) = add(X2,X1),
commutativity_of_add ).
cnf(c_0_7,hypothesis,
add(c,negate(c)) = c,
condition ).
cnf(c_0_8,plain,
negate(add(negate(add(X1,X2)),negate(add(X2,negate(X1))))) = X2,
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,hypothesis,
negate(add(negate(c),negate(add(c,c)))) = c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_7]),c_0_6]) ).
cnf(c_0_10,axiom,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
associativity_of_add ).
cnf(c_0_11,hypothesis,
negate(add(c,negate(add(c,c)))) = negate(c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_7]),c_0_6]) ).
cnf(c_0_12,plain,
add(X1,add(X2,X3)) = add(X3,add(X1,X2)),
inference(spm,[status(thm)],[c_0_6,c_0_10]) ).
cnf(c_0_13,hypothesis,
add(c,add(negate(c),X1)) = add(c,X1),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_14,plain,
negate(add(X1,negate(add(negate(add(X1,X2)),negate(negate(add(X1,negate(X2)))))))) = negate(add(X1,X2)),
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_15,hypothesis,
negate(add(negate(c),negate(add(c,add(c,c))))) = c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_11]),c_0_6]) ).
cnf(c_0_16,hypothesis,
add(negate(c),add(X1,add(X2,c))) = add(X2,add(c,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_10]) ).
cnf(c_0_17,hypothesis,
negate(add(c,c)) = negate(c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_11]),c_0_6]),c_0_9]),c_0_6]),c_0_7]) ).
cnf(c_0_18,hypothesis,
negate(add(c,add(c,c))) = negate(c),
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_14,c_0_15]),c_0_16]),c_0_6]),c_0_15]),c_0_6]),c_0_7]),c_0_16]) ).
cnf(c_0_19,hypothesis,
negate(add(negate(c),negate(c))) = c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_17]),c_0_7]) ).
cnf(c_0_20,hypothesis,
add(c,c) = c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_18]),c_0_10]),c_0_7]),c_0_17]),c_0_19]) ).
cnf(c_0_21,hypothesis,
add(c,add(c,X1)) = add(c,X1),
inference(spm,[status(thm)],[c_0_10,c_0_20]) ).
cnf(c_0_22,hypothesis,
add(c,add(X1,negate(c))) = add(c,X1),
inference(spm,[status(thm)],[c_0_13,c_0_6]) ).
cnf(c_0_23,plain,
negate(add(negate(add(X1,X2)),negate(add(negate(X2),X1)))) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_24,plain,
negate(add(negate(add(X1,add(X2,X3))),negate(add(X1,add(X2,negate(X3)))))) = add(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_10]),c_0_10]) ).
cnf(c_0_25,hypothesis,
negate(add(negate(add(c,X1)),negate(add(c,X1)))) = add(c,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_21]),c_0_10]),c_0_22]) ).
cnf(c_0_26,plain,
negate(add(X1,negate(add(X1,add(X2,negate(add(negate(X2),X1))))))) = negate(add(negate(X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_23]),c_0_6]),c_0_10]),c_0_6]) ).
cnf(c_0_27,hypothesis,
negate(add(negate(add(X1,c)),negate(add(X1,c)))) = add(X1,c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_20]),c_0_7]) ).
cnf(c_0_28,hypothesis,
negate(add(negate(add(c,X1)),negate(add(X1,add(negate(c),negate(c)))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_19]),c_0_6]) ).
cnf(c_0_29,hypothesis,
add(c,negate(add(c,add(X1,negate(add(c,negate(X1))))))) = add(c,negate(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_6]),c_0_6]) ).
cnf(c_0_30,plain,
add(X1,add(X2,X3)) = add(X2,add(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_6]),c_0_10]) ).
cnf(c_0_31,hypothesis,
negate(add(negate(c),negate(add(negate(c),add(negate(c),negate(c)))))) = negate(c),
inference(spm,[status(thm)],[c_0_28,c_0_7]) ).
cnf(c_0_32,hypothesis,
add(c,add(X1,add(X2,negate(c)))) = add(c,add(X1,X2)),
inference(spm,[status(thm)],[c_0_22,c_0_10]) ).
cnf(c_0_33,hypothesis,
add(c,negate(add(X1,add(c,negate(add(c,negate(X1))))))) = add(c,negate(X1)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,hypothesis,
add(c,negate(add(c,negate(add(negate(c),add(negate(c),negate(c))))))) = c,
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_29,c_0_31]),c_0_7]),c_0_10]),c_0_32]),c_0_13]),c_0_7]) ).
cnf(c_0_35,plain,
negate(add(negate(add(X1,X2)),negate(add(negate(X1),X2)))) = X2,
inference(spm,[status(thm)],[c_0_23,c_0_6]) ).
cnf(c_0_36,hypothesis,
add(c,negate(add(negate(c),add(negate(c),negate(c))))) = c,
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_10]),c_0_10]),c_0_6]),c_0_7]),c_0_6]),c_0_7]),c_0_6]),c_0_7]),c_0_7]) ).
cnf(c_0_37,hypothesis,
negate(add(negate(c),add(negate(c),negate(c)))) = c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_31]),c_0_19]) ).
cnf(c_0_38,hypothesis,
add(negate(c),negate(c)) = negate(c),
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_24,c_0_37]),c_0_6]),c_0_7]),c_0_6]),c_0_7]),c_0_6]),c_0_7]) ).
cnf(c_0_39,plain,
negate(add(negate(add(X1,X2)),negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_5]),c_0_6]) ).
cnf(c_0_40,plain,
add(X1,add(X2,X3)) = add(X3,add(X2,X1)),
inference(spm,[status(thm)],[c_0_12,c_0_6]) ).
cnf(c_0_41,hypothesis,
add(X1,negate(c)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_38]),c_0_6]),c_0_7]),c_0_5]) ).
cnf(c_0_42,plain,
negate(add(negate(add(X1,X2)),negate(add(negate(add(X2,X3)),add(X1,negate(add(X2,negate(X3)))))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_12]),c_0_40]) ).
cnf(c_0_43,hypothesis,
add(negate(c),X1) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_41]) ).
cnf(c_0_44,hypothesis,
negate(add(X1,negate(X1))) = negate(c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_43]),c_0_5]),c_0_6]) ).
cnf(c_0_45,hypothesis,
negate(negate(add(X1,negate(negate(X1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_44]),c_0_43]) ).
cnf(c_0_46,hypothesis,
negate(negate(X1)) = 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_43]),c_0_41]),c_0_43]),c_0_41]),c_0_45]) ).
cnf(c_0_47,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
prove_huntingtons_axiom ).
cnf(c_0_48,hypothesis,
add(negate(add(X1,X2)),negate(add(negate(X1),X2))) = negate(X2),
inference(spm,[status(thm)],[c_0_46,c_0_35]) ).
cnf(c_0_49,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48]),c_0_46])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ROB022-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n023.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 07:03:40 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.20/0.53 start to proof: theBenchmark
% 1.20/1.26 % Version : CSE_E---1.5
% 1.20/1.26 % Problem : theBenchmark.p
% 1.20/1.26 % Proof found
% 1.20/1.26 % SZS status Theorem for theBenchmark.p
% 1.20/1.26 % SZS output start Proof
% See solution above
% 1.20/1.27 % Total time : 0.723000 s
% 1.20/1.27 % SZS output end Proof
% 1.20/1.27 % Total time : 0.726000 s
%------------------------------------------------------------------------------