%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ROB033-1 : TPTP v9.2.1. Released v4.1.0.
% 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 : n005.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 93.83s 69.99s
% Output : CNFRefutation 94.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 100 ( 95 unt; 0 nHn; 11 RR)
% Number of literals : 106 ( 105 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 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 : 271 ( 0 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(goals,negated_conjecture,
add(negate(add(x0,negate(x1))),negate(add(negate(x0),negate(x1)))) != x1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
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(commutativity_of_add,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',commutativity_of_add) ).
cnf(i_0_4,axiom,
negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
robbins_axiom,
[final] ).
cnf(i_0_5,negated_conjecture,
add(negate(add(x0,negate(x1))),negate(add(negate(x0),negate(x1)))) != x1,
goals,
[final] ).
cnf(i_0_6,axiom,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
associativity_of_add,
[final] ).
cnf(i_0_7,axiom,
add(X1,X2) = add(X2,X1),
commutativity_of_add,
[final] ).
cnf(i_0_8,axiom,
X1 = X1 ).
cnf(i_0_9,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_10,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_11,axiom,
( X1 != X2
| negate(X1) = negate(X2) ) ).
cnf(i_0_12,axiom,
( X1 != X2
| add(X1,X3) = add(X2,X3) ) ).
cnf(i_0_13,axiom,
( X1 != X2
| add(X3,X1) = add(X3,X2) ) ).
cnf(i_0_14,plain,
add(X1,add(X2,X3)) = add(add(X1,X2),X3),
inference(scs_inference,[],[i_0_6,i_0_9]) ).
cnf(i_0_15,plain,
add(X1,add(X2,X3)) = add(X2,add(X3,X1)),
inference(scs_inference,[],[i_0_7,i_0_6,i_0_9,i_0_10]) ).
cnf(i_0_16,plain,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_17,plain,
add(X1,X2) = add(X2,X1),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_19,plain,
X1 = negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))),
inference(scs_inference,[],[i_0_4,i_0_9]) ).
cnf(i_0_40,plain,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_76,plain,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_80,plain,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_84,plain,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_88,plain,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_92,plain,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_96,plain,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_100,plain,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_104,plain,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_108,plain,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_115,plain,
add(X1,X2) = add(X2,X1),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_119,plain,
add(X1,X2) = add(X2,X1),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_123,plain,
add(X1,X2) = add(X2,X1),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_127,plain,
add(X1,X2) = add(X2,X1),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_130,plain,
add(X1,X2) = add(X2,X1),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_134,plain,
add(X1,X2) = add(X2,X1),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_138,plain,
add(X1,X2) = add(X2,X1),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_142,plain,
add(X1,X2) = add(X2,X1),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_145,plain,
add(X1,X2) = add(X2,X1),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_148,plain,
add(X1,X2) = add(X2,X1),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_151,plain,
add(X1,X2) = add(X2,X1),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_457,plain,
negate(negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2)))))) = negate(X1),
inference(scs_inference,[],[i_0_4,i_0_11]) ).
cnf(i_0_458,plain,
add(negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))),X3) = add(X1,X3),
inference(scs_inference,[],[i_0_4,i_0_11,i_0_12]) ).
cnf(i_0_459,plain,
add(X1,negate(add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))) = add(X1,X2),
inference(scs_inference,[],[i_0_4,i_0_11,i_0_12,i_0_13]) ).
cnf(i_0_461,plain,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_464,plain,
add(X1,X2) = add(X2,X1),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_473,plain,
add(X1,X2) = add(X2,X1),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_477,plain,
add(negate(add(negate(X1),negate(X2))),negate(add(X1,negate(X2)))) != X2,
inference(scs_inference,[],[i_0_7,i_0_5,i_0_10]) ).
cnf(i_0_478,plain,
add(X1,X2) = add(X2,X1),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_18,plain,
add(X1,add(X2,X3)) = add(X3,add(X1,X2)),
inference(scs_inference,[],[i_0_15,i_0_9]) ).
cnf(i_0_21,plain,
add(X1,add(X2,X3)) = add(add(X1,X2),X3),
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_25,plain,
add(X1,add(X2,X3)) = add(add(X1,X2),X3),
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_43,plain,
add(X1,add(X2,X3)) = add(add(X1,X2),X3),
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_46,plain,
add(X1,add(X2,X3)) = add(add(X1,X2),X3),
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_52,plain,
add(X1,add(X2,X3)) = add(add(X1,X2),X3),
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_155,plain,
add(X1,add(X2,X3)) = add(add(X1,X2),X3),
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_159,plain,
add(X1,add(X2,X3)) = add(add(X1,X2),X3),
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_193,plain,
add(X1,add(X2,X3)) = add(add(X1,X2),X3),
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_237,plain,
X1 = negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_460,plain,
add(add(negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))),X3),X4) = add(X1,add(X3,X4)),
inference(scs_inference,[],[i_0_6,i_0_458,i_0_10]) ).
cnf(i_0_462,plain,
add(negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))),X3) = add(X1,X3),
inference(rename_variables,[],[i_0_458]) ).
cnf(i_0_475,plain,
add(X1,negate(add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))) = add(X2,X1),
inference(scs_inference,[],[i_0_7,i_0_459,i_0_10]) ).
cnf(i_0_476,plain,
add(X1,negate(add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))) = add(X1,X2),
inference(rename_variables,[],[i_0_459]) ).
cnf(i_0_484,plain,
negate(negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2)))))) = negate(X1),
inference(rename_variables,[],[i_0_457]) ).
cnf(i_0_485,plain,
negate(add(X1,add(X2,X3))) = negate(add(X2,add(X3,X1))),
inference(scs_inference,[],[i_0_15,i_0_11]) ).
cnf(i_0_486,plain,
add(add(X1,add(X2,X3)),X4) = add(add(X2,add(X3,X1)),X4),
inference(scs_inference,[],[i_0_15,i_0_11,i_0_12]) ).
cnf(i_0_487,plain,
add(X1,add(X2,add(X3,X4))) = add(X1,add(X3,add(X4,X2))),
inference(scs_inference,[],[i_0_15,i_0_11,i_0_12,i_0_13]) ).
cnf(i_0_20,plain,
add(X1,add(X2,X3)) = add(add(X3,X1),X2),
inference(scs_inference,[],[i_0_14,i_0_18,i_0_4,i_0_9,i_0_10]) ).
cnf(i_0_29,plain,
add(X1,add(X2,X3)) = add(X3,add(X1,X2)),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_488,plain,
add(add(X1,X2),negate(add(negate(add(X3,X4)),negate(add(X3,negate(X4)))))) = add(X1,add(X2,X3)),
inference(scs_inference,[],[i_0_15,i_0_475,i_0_11,i_0_12,i_0_13,i_0_10]) ).
cnf(i_0_489,plain,
add(X1,negate(add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))) = add(X2,X1),
inference(rename_variables,[],[i_0_475]) ).
cnf(i_0_513,plain,
negate(add(X1,add(X2,X3))) = negate(add(X2,add(X3,X1))),
inference(rename_variables,[],[i_0_485]) ).
cnf(i_0_531,plain,
add(add(X1,add(X2,X3)),X4) = add(add(X2,add(X3,X1)),X4),
inference(rename_variables,[],[i_0_486]) ).
cnf(i_0_537,plain,
add(X1,add(X2,add(X3,X4))) = add(X1,add(X3,add(X4,X2))),
inference(rename_variables,[],[i_0_487]) ).
cnf(i_0_22,plain,
add(add(X1,X2),X3) = add(X2,add(X3,X1)),
inference(scs_inference,[],[i_0_20,i_0_9]) ).
cnf(i_0_23,plain,
add(X1,add(X2,add(X3,X4))) = add(add(X4,add(X1,X2)),X3),
inference(scs_inference,[],[i_0_14,i_0_20,i_0_9,i_0_10]) ).
cnf(i_0_24,plain,
add(X1,add(X2,X3)) = add(add(X3,X1),X2),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_110,plain,
add(add(X1,X2),X3) = add(add(X3,X1),X2),
inference(scs_inference,[],[i_0_6,i_0_20,i_0_10]) ).
cnf(i_0_111,plain,
add(X1,add(X2,X3)) = add(add(X3,X1),X2),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_112,plain,
add(add(X1,X2),X3) = add(add(X2,X3),X1),
inference(scs_inference,[],[i_0_6,i_0_20,i_0_10,i_0_9]) ).
cnf(i_0_229,plain,
add(X1,add(X2,X3)) = add(add(X3,X1),X2),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_490,plain,
negate(add(X1,add(X2,X3))) = negate(add(add(X3,X1),X2)),
inference(scs_inference,[],[i_0_20,i_0_11]) ).
cnf(i_0_491,plain,
add(add(X1,add(X2,X3)),X4) = add(add(add(X3,X1),X2),X4),
inference(scs_inference,[],[i_0_20,i_0_11,i_0_12]) ).
cnf(i_0_492,plain,
add(X1,add(X2,add(X3,X4))) = add(X1,add(add(X4,X2),X3)),
inference(scs_inference,[],[i_0_20,i_0_11,i_0_12,i_0_13]) ).
cnf(i_0_494,plain,
add(X1,add(X2,X3)) = add(add(X3,X1),X2),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_26,plain,
add(add(X1,add(X2,X3)),X4) = add(X2,add(X3,add(X4,X1))),
inference(scs_inference,[],[i_0_23,i_0_9]) ).
cnf(i_0_27,plain,
add(X1,add(X2,add(X3,X4))) = add(X4,add(add(X1,X2),X3)),
inference(scs_inference,[],[i_0_22,i_0_18,i_0_23,i_0_9,i_0_10]) ).
cnf(i_0_28,plain,
add(add(X1,X2),X3) = add(X2,add(X3,X1)),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_33,plain,
add(add(X1,X2),X3) = add(X2,add(X3,X1)),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_36,plain,
add(add(X1,X2),X3) = add(X2,add(X3,X1)),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_59,plain,
add(add(X1,X2),X3) = add(X2,add(X3,X1)),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_86,plain,
add(add(add(X1,X2),X3),X4) = add(X2,add(add(X3,X4),X1)),
inference(scs_inference,[],[i_0_6,i_0_22,i_0_10]) ).
cnf(i_0_87,plain,
add(add(X1,X2),X3) = add(X2,add(X3,X1)),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_89,plain,
add(X1,add(add(X2,X3),X4)) = add(add(add(X4,X1),X2),X3),
inference(scs_inference,[],[i_0_6,i_0_22,i_0_10,i_0_9]) ).
cnf(c_0_481,plain,
add(negate(add(negate(X1),negate(X2))),negate(add(X1,negate(X2)))) != X2,
i_0_477 ).
cnf(c_0_482,axiom,
add(X1,X2) = add(X2,X1),
i_0_7 ).
cnf(c_0_483,plain,
add(negate(add(X1,negate(X2))),negate(add(negate(X1),negate(X2)))) != X2,
inference(rw,[status(thm)],[c_0_481,c_0_482]) ).
cnf(c_0_484,plain,
add(negate(add(X1,negate(X2))),negate(add(negate(X2),negate(X1)))) != X2,
inference(spm,[status(thm)],[c_0_483,c_0_482]) ).
cnf(c_0_485,plain,
X1 = negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))),
i_0_19 ).
cnf(c_0_486,plain,
add(negate(add(X1,X2)),negate(add(X2,negate(X1)))) != add(negate(add(X2,X3)),negate(add(X2,negate(X3)))),
inference(spm,[status(thm)],[c_0_484,c_0_485]) ).
cnf(c_0_487,plain,
$false,
inference(er,[status(thm)],[c_0_486]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ROB033-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n005.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:52:30 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 93.83/69.99 % Version : CSE_E---1.7
% 93.83/69.99 % Problem : theBenchmark.p
% 93.83/69.99 % SZS status Unsatisfiable for theBenchmark.p
% 93.83/69.99 % SZS output start CNFRefutation
% See solution above
% 94.51/70.65 % Total time : 69.574s
%------------------------------------------------------------------------------