%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : BOO072-1 : TPTP v9.2.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n025.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 04:11:24 PM UTC 2026
% Result : Unsatisfiable 5.58s 4.49s
% Output : CNFRefutation 5.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 2
% Syntax : Number of clauses : 38 ( 38 unt; 0 nHn; 3 RR)
% Number of literals : 38 ( 37 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 3 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 : 72 ( 20 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(dn1,axiom,
inverse(add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,inverse(add(inverse(X3),inverse(add(X3,X4)))))))) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dn1) ).
cnf(huntinton_1,negated_conjecture,
add(b,a) != add(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',huntinton_1) ).
cnf(c_0_2,axiom,
inverse(add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,inverse(add(inverse(X3),inverse(add(X3,X4)))))))) = X3,
dn1 ).
cnf(c_0_3,plain,
inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X1)),X2)),X1)),X3)),inverse(X1))),X1)) = inverse(X1),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
inverse(add(inverse(add(X1,inverse(X1))),X1)) = inverse(X1),
inference(spm,[status(thm)],[c_0_3,c_0_2]) ).
cnf(c_0_5,plain,
inverse(add(inverse(X1),inverse(add(X1,inverse(add(inverse(X1),inverse(add(X1,X2)))))))) = X1,
inference(spm,[status(thm)],[c_0_2,c_0_4]) ).
cnf(c_0_6,plain,
inverse(add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,X3)))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_5]) ).
cnf(c_0_7,plain,
inverse(add(inverse(add(X1,X2)),inverse(add(inverse(X1),X2)))) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_8,plain,
inverse(add(inverse(add(X1,X2)),inverse(add(inverse(add(X3,X1)),X2)))) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,plain,
inverse(add(inverse(X1),inverse(add(X1,X1)))) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_10,plain,
inverse(add(inverse(add(inverse(X1),X1)),inverse(X1))) = X1,
inference(spm,[status(thm)],[c_0_8,c_0_3]) ).
cnf(c_0_11,plain,
inverse(add(inverse(add(X1,inverse(add(X1,X1)))),X1)) = inverse(add(X1,X1)),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_12,plain,
inverse(add(X1,inverse(add(inverse(X1),inverse(X1))))) = inverse(X1),
inference(spm,[status(thm)],[c_0_6,c_0_10]) ).
cnf(c_0_13,plain,
inverse(add(inverse(add(X1,X1)),inverse(add(X1,X1)))) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_11]) ).
cnf(c_0_14,plain,
inverse(add(inverse(X1),inverse(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_12]),c_0_12]) ).
cnf(c_0_15,plain,
add(X1,X1) = X1,
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
inverse(add(inverse(add(add(X1,inverse(X1)),X1)),inverse(X1))) = X1,
inference(spm,[status(thm)],[c_0_7,c_0_4]) ).
cnf(c_0_17,plain,
inverse(add(inverse(add(inverse(add(X1,X2)),X1)),inverse(X1))) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_15]) ).
cnf(c_0_18,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_15]),c_0_15]) ).
cnf(c_0_19,plain,
inverse(add(X1,inverse(add(add(X1,inverse(X1)),inverse(X1))))) = inverse(X1),
inference(spm,[status(thm)],[c_0_6,c_0_16]) ).
cnf(c_0_20,plain,
inverse(add(X1,add(X2,X1))) = inverse(add(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_6]),c_0_18]) ).
cnf(c_0_21,plain,
inverse(add(inverse(add(inverse(X1),X2)),inverse(add(X1,X2)))) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_19]) ).
cnf(c_0_22,plain,
add(X1,add(X2,X1)) = add(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_20]),c_0_18]) ).
cnf(c_0_23,plain,
add(inverse(add(inverse(X1),X2)),inverse(add(X1,X2))) = inverse(X2),
inference(spm,[status(thm)],[c_0_18,c_0_21]) ).
cnf(c_0_24,plain,
add(inverse(add(X1,X2)),inverse(X2)) = inverse(X2),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,plain,
add(inverse(add(X1,inverse(X2))),X2) = X2,
inference(spm,[status(thm)],[c_0_24,c_0_18]) ).
cnf(c_0_26,plain,
inverse(add(inverse(X1),inverse(add(X2,X1)))) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_25]) ).
cnf(c_0_27,plain,
add(inverse(add(X1,X2)),inverse(add(inverse(X1),X2))) = inverse(X2),
inference(spm,[status(thm)],[c_0_18,c_0_7]) ).
cnf(c_0_28,plain,
add(inverse(X1),inverse(add(X2,X1))) = inverse(X1),
inference(spm,[status(thm)],[c_0_18,c_0_26]) ).
cnf(c_0_29,plain,
add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X1,X3))) = inverse(X3),
inference(spm,[status(thm)],[c_0_18,c_0_6]) ).
cnf(c_0_30,plain,
add(X1,inverse(add(X1,inverse(add(X2,X1))))) = add(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_18]),c_0_18]),c_0_18]) ).
cnf(c_0_31,plain,
add(inverse(add(inverse(add(X1,X2)),X3)),inverse(add(X2,X3))) = inverse(X3),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_32,plain,
inverse(add(inverse(add(X1,X2)),inverse(add(inverse(add(inverse(add(X3,X4)),X1)),inverse(add(inverse(X2),inverse(add(X2,X5)))))))) = X2,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_33,plain,
add(X1,inverse(add(inverse(add(X2,X3)),inverse(add(X3,X1))))) = add(X3,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_31]),c_0_18]),c_0_18]) ).
cnf(c_0_34,plain,
inverse(add(inverse(add(inverse(add(X1,X2)),X1)),inverse(add(X1,X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_29]),c_0_18]) ).
cnf(c_0_35,negated_conjecture,
add(b,a) != add(a,b),
huntinton_1 ).
cnf(c_0_36,plain,
add(X1,X2) = add(X2,X1),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : BOO072-1 : TPTP v9.2.1. Released v2.6.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32 % Computer : n025.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 5 10:46:13 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 5.58/4.49 % Version : CSE_E---1.7
% 5.58/4.49 % Problem : theBenchmark.p
% 5.58/4.49 % SZS status Unsatisfiable for theBenchmark.p
% 5.58/4.49 % SZS output start CNFRefutation
% See solution above
% 5.68/4.50 % Total time : 3.371s
%------------------------------------------------------------------------------