%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SWV234+2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % Computer : n013.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 12 07:15:20 PM UTC 2026 % Result : Theorem 0.48s 1.37s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV234+2 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon May 11 14:21:12 EDT 2026 % 0.17/0.34 % CPUTime : % 0.48/1.37 % SZS status Theorem % 0.48/1.38 % SZS output start Proof % 0.48/1.38 % 0.48/1.38 =============================================================== % 0.48/1.38 TPTP Problem: co1 (conjecture with 21 axiom(s)) % 0.48/1.38 Axioms: [ability_to_xor,kp_set,ability_to_encrypt,ability_to_decrypt,encrypt_data_cmd,key_import_cmd,key_part_import_cmd,encrypt_decrypt_cancel,xor_commutes,xor_assosciative,xor_self_cancel,xor_zero,initial_knowledge1,initial_knowledge2,initial_knowledge3,initial_knowledge4,initial_knowledge5,initial_knowledge6,initial_knowledge7,initial_knowledge8,initial_knowledge9] % 0.48/1.38 =============================================================== % 0.48/1.38 % 0.48/1.38 Combined formula: 21 axiom(s) => conjecture % 0.48/1.38 % 0.48/1.38 % Equality/functions detected -> nanoCoP oracle mode % 0.48/1.38 nanoCoP : % 0.48/1.38 % 18,707 inferences, 0.010 CPU in 0.010 seconds (100% CPU, 1842094 Lips) % 0.48/1.38 % 0.48/1.38 % nanoCoP proof (equality/functions) % 0.48/1.38 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 0.48/1.38 % 0.48/1.38 % SZS output end Proof %------------------------------------------------------------------------------