%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL407-2 : TPTP v9.2.1. Released v2.5.0.
% 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 : n002.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 04:40:16 PM UTC 2026
% Result : Satisfiable 1.23s 1.71s
% Output : Saturation 1.23s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_7,axiom,
xor(X1,xor(truth,X2)) = xor(xor(X1,truth),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax',axiom_7) ).
cnf(axiom_1,axiom,
not(X1) = xor(X1,truth),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax',axiom_1) ).
cnf(axiom_3,axiom,
xor(X1,X1) = falsehood,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax',axiom_3) ).
cnf(axiom_2,axiom,
xor(X1,falsehood) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax',axiom_2) ).
cnf(axiom_8,axiom,
and_star(xor(and_star(xor(truth,X1),X2),truth),X2) = and_star(xor(and_star(xor(truth,X2),X1),truth),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax',axiom_8) ).
cnf(axiom_6,axiom,
and_star(xor(truth,X1),X1) = falsehood,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax',axiom_6) ).
cnf(axiom_5,axiom,
and_star(X1,falsehood) = falsehood,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax',axiom_5) ).
cnf(axiom_4,axiom,
and_star(X1,truth) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax',axiom_4) ).
cnf(c_0_8,axiom,
xor(X1,xor(truth,X2)) = xor(xor(X1,truth),X2),
axiom_7 ).
cnf(c_0_9,axiom,
not(X1) = xor(X1,truth),
axiom_1,
[final] ).
cnf(c_0_10,axiom,
xor(X1,X1) = falsehood,
axiom_3,
[final] ).
cnf(c_0_11,plain,
xor(X1,xor(truth,X2)) = xor(not(X1),X2),
inference(rw,[status(thm)],[c_0_8,c_0_9]),
[final] ).
cnf(c_0_12,plain,
not(truth) = falsehood,
inference(spm,[status(thm)],[c_0_10,c_0_9]),
[final] ).
cnf(c_0_13,axiom,
xor(X1,falsehood) = X1,
axiom_2,
[final] ).
cnf(c_0_14,axiom,
and_star(xor(and_star(xor(truth,X1),X2),truth),X2) = and_star(xor(and_star(xor(truth,X2),X1),truth),X1),
axiom_8 ).
cnf(c_0_15,plain,
not(not(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_9]),c_0_12]),c_0_13]),c_0_9]),
[final] ).
cnf(c_0_16,plain,
and_star(not(and_star(xor(truth,X1),X2)),X2) = and_star(not(and_star(xor(truth,X2),X1)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_9]),c_0_9]),
[final] ).
cnf(c_0_17,plain,
xor(X1,xor(falsehood,X2)) = xor(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_11]),c_0_12]),c_0_11]),c_0_15]),
[final] ).
cnf(c_0_18,axiom,
and_star(xor(truth,X1),X1) = falsehood,
axiom_6,
[final] ).
cnf(c_0_19,plain,
and_star(not(and_star(xor(truth,X1),xor(falsehood,X2))),xor(falsehood,X2)) = and_star(not(and_star(xor(truth,X2),X1)),X1),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,axiom,
and_star(X1,falsehood) = falsehood,
axiom_5,
[final] ).
cnf(c_0_21,plain,
and_star(xor(truth,X1),xor(falsehood,X1)) = falsehood,
inference(spm,[status(thm)],[c_0_18,c_0_17]),
[final] ).
cnf(c_0_22,plain,
not(falsehood) = truth,
inference(spm,[status(thm)],[c_0_15,c_0_12]),
[final] ).
cnf(c_0_23,plain,
and_star(not(and_star(xor(truth,X1),xor(truth,X2))),xor(truth,X2)) = and_star(not(and_star(xor(falsehood,X2),X1)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_11]),c_0_12]),
[final] ).
cnf(c_0_24,plain,
and_star(not(and_star(xor(truth,X1),xor(falsehood,X2))),xor(falsehood,X2)) = and_star(not(and_star(xor(truth,X1),X2)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_19]),c_0_17]),
[final] ).
cnf(c_0_25,plain,
and_star(not(and_star(truth,X1)),X1) = falsehood,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_16]),c_0_13]),
[final] ).
cnf(c_0_26,plain,
and_star(truth,xor(falsehood,X1)) = and_star(truth,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_21]),c_0_22]),c_0_17]),c_0_18]),c_0_22]),
[final] ).
cnf(c_0_27,axiom,
and_star(X1,truth) = X1,
axiom_4,
[final] ).
cnf(c_0_28,plain,
xor(not(xor(truth,X1)),X1) = falsehood,
inference(spm,[status(thm)],[c_0_10,c_0_11]),
[final] ).
cnf(c_0_29,plain,
and_star(not(and_star(xor(falsehood,X1),xor(truth,X2))),xor(truth,X2)) = and_star(not(and_star(xor(falsehood,X2),xor(truth,X1))),xor(truth,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_11]),c_0_12]),
[final] ).
cnf(c_0_30,plain,
and_star(not(and_star(xor(falsehood,X1),xor(falsehood,X2))),xor(falsehood,X2)) = and_star(not(and_star(xor(falsehood,X1),X2)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_11]),c_0_12]),c_0_12]),
[final] ).
cnf(c_0_31,plain,
and_star(not(and_star(truth,X1)),xor(falsehood,X1)) = falsehood,
inference(spm,[status(thm)],[c_0_25,c_0_26]),
[final] ).
cnf(c_0_32,plain,
and_star(not(and_star(falsehood,X1)),X1) = not(xor(truth,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_16]),c_0_9]),c_0_12]),c_0_27]),
[final] ).
cnf(c_0_33,plain,
and_star(xor(falsehood,X1),xor(truth,X1)) = falsehood,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_11]),c_0_12]),
[final] ).
cnf(c_0_34,plain,
xor(xor(falsehood,X1),X1) = falsehood,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_28]),c_0_11]),c_0_12]),c_0_15]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL407-2 : TPTP v9.2.1. Released v2.5.0.
% 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
% 0.14/0.32 % Computer : n002.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 : Mon May 4 22:31:46 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.23/1.71 % Version : CSE_E---1.7
% 1.23/1.71 % Problem : theBenchmark.p
% 1.23/1.71 % SZS status Satisfiable for theBenchmark.p
% 1.23/1.71 % SZS output start Saturation
% See solution above
% 1.23/1.71 % Total time : 1.370s
%------------------------------------------------------------------------------