%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : RNG128-1 : TPTP v9.2.1. Released v5.4.0.
% 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 : n029.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 05:05:26 PM UTC 2026
% Result : Unsatisfiable 1.26s 1.71s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of clauses : 34 ( 34 unt; 0 nHn; 7 RR)
% Number of literals : 34 ( 33 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% 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 : 46 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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,plain,
mult(mult(zero,zero),mult(zero,zero)) = mult(zero,zero),
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_14,axiom,
mult(X1,add(X2,X3)) = add(mult(X1,X2),mult(X1,X3)),
sos_003 ).
cnf(c_0_15,axiom,
add(X1,X2) = add(X2,X1),
sos_001 ).
cnf(c_0_16,plain,
mult(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_13]),c_0_14]),c_0_9]),c_0_11]) ).
cnf(c_0_17,plain,
add(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_9]) ).
cnf(c_0_18,plain,
zero = unit,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_16]),c_0_17]) ).
cnf(c_0_19,plain,
add(unit,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_16]),c_0_9]) ).
cnf(c_0_20,axiom,
mult(X1,unit) = X1,
sos_005 ).
cnf(c_0_21,plain,
add(X1,unit) = X1,
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
add(X1,mult(X1,X1)) = X1,
inference(rw,[status(thm)],[c_0_8,c_0_19]) ).
cnf(c_0_23,plain,
add(X1,mult(X1,X2)) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_20]),c_0_15]),c_0_21]) ).
cnf(c_0_24,plain,
mult(X1,X1) = X1,
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,plain,
add(X1,add(X2,X3)) = add(X2,add(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_15]),c_0_10]) ).
cnf(c_0_26,plain,
add(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_27,plain,
mult(X1,add(X2,X1)) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_24]),c_0_15]),c_0_23]) ).
cnf(c_0_28,plain,
add(X1,add(X1,X2)) = add(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_10]),c_0_26]) ).
cnf(c_0_29,axiom,
mult(X1,X2) = mult(X2,X1),
sos_002 ).
cnf(c_0_30,plain,
mult(X1,add(X1,X2)) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_24]),c_0_23]) ).
cnf(c_0_31,negated_conjecture,
add(x0,x1) != mult(x0,x1),
goals ).
cnf(c_0_32,plain,
mult(X1,X2) = add(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_24]),c_0_29]),c_0_30]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG128-1 : TPTP v9.2.1. Released v5.4.0.
% 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
% 0.15/0.32 % Computer : n029.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 01:52:14 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.26/1.71 % Version : CSE_E---1.7
% 1.26/1.71 % Problem : theBenchmark.p
% 1.26/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.71 % SZS output start CNFRefutation
% See solution above
% 1.26/1.71 % Total time : 1.369s
%------------------------------------------------------------------------------