%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ROB030-1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 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 : Tue May 5 05:05:45 PM UTC 2026
% Result : Unsatisfiable 0.23s 1.61s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 17
% Syntax : Number of clauses : 24 ( 14 unt; 0 nHn; 11 RR)
% Number of literals : 36 ( 35 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 49 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(robbins_axiom,axiom,
negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',robbins_axiom) ).
cnf(associativity_of_add,axiom,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',associativity_of_add) ).
cnf(prove_absorption_within_negation,negated_conjecture,
negate(add(X1,X2)) != negate(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_absorption_within_negation) ).
cnf(commutativity_of_add,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',commutativity_of_add) ).
cnf(absorbtion,hypothesis,
add(c,d) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorbtion) ).
cnf(i_0_5,axiom,
negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
robbins_axiom,
[final] ).
cnf(i_0_6,axiom,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
associativity_of_add,
[final] ).
cnf(i_0_7,negated_conjecture,
negate(add(X1,X2)) != negate(X2),
prove_absorption_within_negation,
[final] ).
cnf(i_0_8,axiom,
add(X1,X2) = add(X2,X1),
commutativity_of_add,
[final] ).
cnf(i_0_9,hypothesis,
add(c,d) = d,
absorbtion,
[final] ).
cnf(i_0_10,axiom,
X1 = X1 ).
cnf(i_0_11,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_12,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_13,axiom,
( X1 != X2
| negate(X1) = negate(X2) ) ).
cnf(i_0_14,axiom,
( X1 != X2
| add(X1,X3) = add(X2,X3) ) ).
cnf(i_0_15,axiom,
( X1 != X2
| add(X3,X1) = add(X3,X2) ) ).
cnf(i_0_10_001,axiom,
X1 = X1 ).
cnf(i_0_11_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_12_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_13_004,axiom,
( X1 != X2
| negate(X1) = negate(X2) ) ).
cnf(i_0_14_005,axiom,
( X1 != X2
| add(X1,X3) = add(X2,X3) ) ).
cnf(i_0_15_006,axiom,
( X1 != X2
| add(X3,X1) = add(X3,X2) ) ).
cnf(i_0_16,plain,
add(X1,add(X2,X3)) = add(add(X1,X2),X3),
inference(scs_inference,[],[i_0_6,i_0_11]) ).
cnf(i_0_17,plain,
$false,
inference(scs_inference,[],[i_0_7,i_0_6,i_0_9,i_0_11,i_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ROB030-1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n023.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 01:53:23 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 0.23/1.61 % Version : CSE_E---1.7
% 0.23/1.61 % Problem : theBenchmark.p
% 0.23/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.23/1.61 % SZS output start CNFRefutation
% See solution above
% 0.23/1.62 % Total time : 1.271s
%------------------------------------------------------------------------------